%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP323-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 05:07:36 AM UTC 2025
% Result : Unsatisfiable 6.57s 6.79s
% Output : Proof 6.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP323-1 : TPTP v9.0.0. Released v2.5.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 15:57:46 EDT 2025
% 0.12/0.34 % CPUTime :
% 6.57/6.79 % SZS status Unsatisfiable
% 6.57/6.79 % SZS output start Proof
% 6.57/6.79 tff(sk_c7_type, type, (
% 6.57/6.79 sk_c7: $i)).
% 6.57/6.79 tff(multiply_type, type, (
% 6.57/6.79 multiply: ( $i * $i ) > $i)).
% 6.57/6.79 tff(sk_c8_type, type, (
% 6.57/6.79 sk_c8: $i)).
% 6.57/6.79 tff(sk_c4_type, type, (
% 6.57/6.79 sk_c4: $i)).
% 6.57/6.79 tff(sk_c3_type, type, (
% 6.57/6.79 sk_c3: $i)).
% 6.57/6.79 tff(sk_c2_type, type, (
% 6.57/6.79 sk_c2: $i)).
% 6.57/6.79 tff(identity_type, type, (
% 6.57/6.79 identity: $i)).
% 6.57/6.79 tff(inverse_type, type, (
% 6.57/6.79 inverse: $i > $i)).
% 6.57/6.79 tff(sk_c5_type, type, (
% 6.57/6.79 sk_c5: $i)).
% 6.57/6.79 tff(sk_c6_type, type, (
% 6.57/6.79 sk_c6: $i)).
% 6.57/6.79 tff(sk_c1_type, type, (
% 6.57/6.79 sk_c1: $i)).
% 6.57/6.79 tff(1,assumption,(~(multiply(sk_c4, sk_c8) = sk_c7)), introduced(assumption)).
% 6.57/6.79 tff(2,plain,
% 6.57/6.79 (((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 6.57/6.79 inference(rewrite,[status(thm)],[])).
% 6.57/6.79 tff(3,plain,
% 6.57/6.79 (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 6.57/6.79 inference(rewrite,[status(thm)],[])).
% 6.57/6.79 tff(4,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 6.57/6.79 tff(5,plain,
% 6.57/6.79 ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[4, 3])).
% 6.57/6.79 tff(6,plain,
% 6.57/6.79 ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[5, 2])).
% 6.57/6.79 tff(7,plain,
% 6.57/6.79 (multiply(sk_c8, sk_c3) = sk_c7),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[6, 1])).
% 6.57/6.79 tff(8,plain,
% 6.57/6.79 (^[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))))),
% 6.57/6.79 inference(bind,[status(th)],[])).
% 6.57/6.79 tff(9,plain,
% 6.57/6.79 (![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)))),
% 6.57/6.79 inference(quant_intro,[status(thm)],[8])).
% 6.57/6.79 tff(10,plain,
% 6.57/6.79 (![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)))),
% 6.57/6.79 inference(rewrite,[status(thm)],[])).
% 6.57/6.79 tff(11,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')).
% 6.57/6.79 tff(12,plain,
% 6.57/6.79 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[11, 10])).
% 6.57/6.79 tff(13,plain,(
% 6.57/6.79 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 6.57/6.79 inference(skolemize,[status(sab)],[12])).
% 6.57/6.79 tff(14,plain,
% 6.57/6.79 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[13, 9])).
% 6.57/6.79 tff(15,plain,
% 6.57/6.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c8))))),
% 6.57/6.79 inference(quant_inst,[status(thm)],[])).
% 6.57/6.79 tff(16,plain,
% 6.57/6.79 (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c8)))),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[15, 14])).
% 6.57/6.79 tff(17,plain,
% 6.57/6.79 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c8))) = multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8))),
% 6.57/6.79 inference(symmetry,[status(thm)],[16])).
% 6.57/6.79 tff(18,plain,
% 6.57/6.79 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 6.57/6.79 inference(bind,[status(th)],[])).
% 6.57/6.79 tff(19,plain,
% 6.57/6.79 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 6.57/6.79 inference(quant_intro,[status(thm)],[18])).
% 6.57/6.79 tff(20,plain,
% 6.57/6.79 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 6.57/6.79 inference(rewrite,[status(thm)],[])).
% 6.57/6.79 tff(21,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 6.57/6.79 tff(22,plain,
% 6.57/6.79 (![X: $i] : (multiply(identity, X) = X)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[21, 20])).
% 6.57/6.79 tff(23,plain,(
% 6.57/6.79 ![X: $i] : (multiply(identity, X) = X)),
% 6.57/6.79 inference(skolemize,[status(sab)],[22])).
% 6.57/6.79 tff(24,plain,
% 6.57/6.79 (![X: $i] : (multiply(identity, X) = X)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[23, 19])).
% 6.57/6.79 tff(25,plain,
% 6.57/6.79 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 6.57/6.79 inference(quant_inst,[status(thm)],[])).
% 6.57/6.79 tff(26,plain,
% 6.57/6.79 (multiply(identity, sk_c8) = sk_c8),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[25, 24])).
% 6.57/6.79 tff(27,plain,
% 6.57/6.79 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 6.57/6.79 inference(bind,[status(th)],[])).
% 6.57/6.79 tff(28,plain,
% 6.57/6.79 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 6.57/6.79 inference(quant_intro,[status(thm)],[27])).
% 6.57/6.79 tff(29,plain,
% 6.57/6.79 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 6.57/6.79 inference(rewrite,[status(thm)],[])).
% 6.57/6.79 tff(30,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 6.57/6.79 tff(31,plain,
% 6.57/6.79 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[30, 29])).
% 6.57/6.79 tff(32,plain,(
% 6.57/6.79 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 6.57/6.79 inference(skolemize,[status(sab)],[31])).
% 6.57/6.79 tff(33,plain,
% 6.57/6.79 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[32, 28])).
% 6.57/6.79 tff(34,plain,
% 6.57/6.79 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 6.57/6.79 inference(quant_inst,[status(thm)],[])).
% 6.57/6.79 tff(35,plain,
% 6.57/6.79 (multiply(inverse(sk_c2), sk_c2) = identity),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[34, 33])).
% 6.57/6.79 tff(36,plain,
% 6.57/6.79 ((sk_c6 = multiply(sk_c7, sk_c8)) <=> (multiply(sk_c7, sk_c8) = sk_c6)),
% 6.57/6.79 inference(commutativity,[status(thm)],[])).
% 6.57/6.79 tff(37,plain,
% 6.57/6.79 (sk_c8 = multiply(identity, sk_c8)),
% 6.57/6.79 inference(symmetry,[status(thm)],[26])).
% 6.57/6.79 tff(38,plain,
% 6.57/6.79 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(identity, sk_c8))),
% 6.57/6.79 inference(monotonicity,[status(thm)],[37])).
% 6.57/6.79 tff(39,plain,
% 6.57/6.79 (multiply(sk_c7, multiply(identity, sk_c8)) = multiply(sk_c7, sk_c8)),
% 6.57/6.79 inference(symmetry,[status(thm)],[38])).
% 6.57/6.79 tff(40,plain,
% 6.57/6.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), sk_c8) = multiply(sk_c7, multiply(identity, sk_c8)))),
% 6.57/6.79 inference(quant_inst,[status(thm)],[])).
% 6.57/6.79 tff(41,plain,
% 6.57/6.79 (multiply(multiply(sk_c7, identity), sk_c8) = multiply(sk_c7, multiply(identity, sk_c8))),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[40, 14])).
% 6.57/6.79 tff(42,plain,
% 6.57/6.79 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 6.57/6.79 inference(quant_inst,[status(thm)],[])).
% 6.57/6.79 tff(43,plain,
% 6.57/6.79 (multiply(inverse(sk_c4), sk_c4) = identity),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[42, 33])).
% 6.57/6.79 tff(44,assumption,(~(inverse(sk_c4) = sk_c8)), introduced(assumption)).
% 6.57/6.79 tff(45,plain,
% 6.57/6.79 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 6.57/6.79 inference(rewrite,[status(thm)],[])).
% 6.57/6.79 tff(46,plain,
% 6.57/6.79 (((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 6.57/6.79 inference(rewrite,[status(thm)],[])).
% 6.57/6.79 tff(47,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 6.57/6.79 tff(48,plain,
% 6.57/6.79 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[47, 46])).
% 6.57/6.79 tff(49,plain,
% 6.57/6.79 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[48, 45])).
% 6.57/6.79 tff(50,plain,
% 6.57/6.79 (multiply(sk_c8, sk_c3) = sk_c7),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[49, 44])).
% 6.57/6.79 tff(51,plain,
% 6.57/6.79 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 6.57/6.79 inference(rewrite,[status(thm)],[])).
% 6.57/6.79 tff(52,plain,
% 6.57/6.79 (((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 6.57/6.79 inference(rewrite,[status(thm)],[])).
% 6.57/6.79 tff(53,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_23')).
% 6.57/6.79 tff(54,plain,
% 6.57/6.79 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[53, 52])).
% 6.57/6.79 tff(55,plain,
% 6.57/6.79 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[54, 51])).
% 6.57/6.79 tff(56,plain,
% 6.57/6.79 (multiply(sk_c2, sk_c8) = sk_c3),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[55, 44])).
% 6.57/6.79 tff(57,plain,
% 6.57/6.79 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 6.57/6.79 inference(monotonicity,[status(thm)],[56])).
% 6.57/6.79 tff(58,plain,
% 6.57/6.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8)))),
% 6.57/6.79 inference(quant_inst,[status(thm)],[])).
% 6.57/6.79 tff(59,plain,
% 6.57/6.79 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[58, 14])).
% 6.57/6.79 tff(60,plain,
% 6.57/6.79 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 6.57/6.79 inference(rewrite,[status(thm)],[])).
% 6.57/6.79 tff(61,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_28')).
% 6.57/6.79 tff(62,plain,
% 6.57/6.79 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[61, 60])).
% 6.57/6.79 tff(63,plain,
% 6.57/6.79 (inverse(sk_c2) = sk_c8),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[62, 44])).
% 6.57/6.79 tff(64,plain,
% 6.57/6.79 (sk_c8 = inverse(sk_c2)),
% 6.57/6.79 inference(symmetry,[status(thm)],[63])).
% 6.57/6.79 tff(65,plain,
% 6.57/6.79 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 6.57/6.79 inference(monotonicity,[status(thm)],[64])).
% 6.57/6.79 tff(66,plain,
% 6.57/6.79 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 6.57/6.79 inference(symmetry,[status(thm)],[65])).
% 6.57/6.79 tff(67,plain,
% 6.57/6.79 (identity = multiply(inverse(sk_c2), sk_c2)),
% 6.57/6.79 inference(symmetry,[status(thm)],[35])).
% 6.57/6.79 tff(68,plain,
% 6.57/6.79 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 6.57/6.79 inference(quant_inst,[status(thm)],[])).
% 6.57/6.79 tff(69,plain,
% 6.57/6.79 (multiply(inverse(sk_c1), sk_c1) = identity),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[68, 33])).
% 6.57/6.79 tff(70,plain,
% 6.57/6.79 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8))),
% 6.57/6.79 inference(rewrite,[status(thm)],[])).
% 6.57/6.79 tff(71,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 6.57/6.79 tff(72,plain,
% 6.57/6.79 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 6.57/6.79 inference(modus_ponens,[status(thm)],[71, 70])).
% 6.57/6.79 tff(73,plain,
% 6.57/6.79 (inverse(sk_c1) = sk_c7),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[72, 44])).
% 6.57/6.79 tff(74,plain,
% 6.57/6.79 (sk_c7 = inverse(sk_c1)),
% 6.57/6.79 inference(symmetry,[status(thm)],[73])).
% 6.57/6.79 tff(75,plain,
% 6.57/6.79 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 6.57/6.79 inference(monotonicity,[status(thm)],[74])).
% 6.57/6.79 tff(76,plain,
% 6.57/6.79 (multiply(sk_c7, sk_c1) = multiply(sk_c8, sk_c2)),
% 6.57/6.79 inference(transitivity,[status(thm)],[75, 69, 67, 66])).
% 6.57/6.79 tff(77,plain,
% 6.57/6.79 (multiply(multiply(sk_c7, sk_c1), sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 6.57/6.79 inference(monotonicity,[status(thm)],[76])).
% 6.57/6.79 tff(78,plain,
% 6.57/6.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c8)))),
% 6.57/6.79 inference(quant_inst,[status(thm)],[])).
% 6.57/6.79 tff(79,plain,
% 6.57/6.79 (multiply(multiply(sk_c7, sk_c1), sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c8))),
% 6.57/6.79 inference(unit_resolution,[status(thm)],[78, 14])).
% 6.57/6.80 tff(80,plain,
% 6.57/6.80 (multiply(sk_c7, multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c7, sk_c1), sk_c8)),
% 6.57/6.80 inference(symmetry,[status(thm)],[79])).
% 6.57/6.80 tff(81,plain,
% 6.57/6.80 (identity = multiply(sk_c8, sk_c2)),
% 6.57/6.80 inference(transitivity,[status(thm)],[67, 66])).
% 6.57/6.80 tff(82,plain,
% 6.57/6.80 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 6.57/6.80 inference(monotonicity,[status(thm)],[81])).
% 6.57/6.80 tff(83,plain,
% 6.57/6.80 (sk_c8 = sk_c7),
% 6.57/6.80 inference(transitivity,[status(thm)],[37, 82, 59, 57, 50])).
% 6.57/6.80 tff(84,plain,
% 6.57/6.80 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(sk_c7, multiply(sk_c1, sk_c8))),
% 6.57/6.80 inference(monotonicity,[status(thm)],[83])).
% 6.57/6.80 tff(85,plain,
% 6.57/6.80 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7),
% 6.57/6.80 inference(transitivity,[status(thm)],[84, 80, 77, 59, 57, 50])).
% 6.57/6.80 tff(86,plain,
% 6.57/6.80 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 6.57/6.80 inference(rewrite,[status(thm)],[])).
% 6.65/6.80 tff(87,plain,
% 6.65/6.80 (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 6.65/6.80 inference(rewrite,[status(thm)],[])).
% 6.65/6.80 tff(88,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 6.65/6.80 tff(89,plain,
% 6.65/6.80 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 6.65/6.80 inference(modus_ponens,[status(thm)],[88, 87])).
% 6.65/6.80 tff(90,plain,
% 6.65/6.80 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 6.65/6.80 inference(modus_ponens,[status(thm)],[89, 86])).
% 6.65/6.80 tff(91,plain,
% 6.65/6.80 (multiply(sk_c1, sk_c7) = sk_c8),
% 6.65/6.80 inference(unit_resolution,[status(thm)],[90, 44])).
% 6.65/6.80 tff(92,plain,
% 6.65/6.80 (multiply(sk_c1, sk_c8) = multiply(sk_c1, sk_c7)),
% 6.65/6.80 inference(monotonicity,[status(thm)],[83])).
% 6.65/6.80 tff(93,plain,
% 6.65/6.80 (multiply(sk_c1, sk_c8) = sk_c7),
% 6.65/6.80 inference(transitivity,[status(thm)],[92, 91, 37, 82, 59, 57, 50])).
% 6.65/6.80 tff(94,plain,
% 6.65/6.80 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 6.65/6.80 inference(quant_inst,[status(thm)],[])).
% 6.65/6.80 tff(95,plain,
% 6.65/6.80 (multiply(identity, sk_c7) = sk_c7),
% 6.65/6.80 inference(unit_resolution,[status(thm)],[94, 24])).
% 6.65/6.80 tff(96,plain,
% 6.65/6.80 (multiply(sk_c7, sk_c1) = identity),
% 6.65/6.80 inference(transitivity,[status(thm)],[75, 69])).
% 6.65/6.80 tff(97,plain,
% 6.65/6.80 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 6.65/6.80 inference(monotonicity,[status(thm)],[96])).
% 6.65/6.80 tff(98,plain,
% 6.65/6.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7)))),
% 6.65/6.80 inference(quant_inst,[status(thm)],[])).
% 6.65/6.80 tff(99,plain,
% 6.65/6.80 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 6.65/6.80 inference(unit_resolution,[status(thm)],[98, 14])).
% 6.65/6.80 tff(100,plain,
% 6.65/6.80 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 6.65/6.80 inference(symmetry,[status(thm)],[99])).
% 6.65/6.80 tff(101,plain,
% 6.65/6.80 (sk_c8 = multiply(sk_c1, sk_c7)),
% 6.65/6.80 inference(symmetry,[status(thm)],[91])).
% 6.65/6.80 tff(102,plain,
% 6.65/6.80 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 6.65/6.80 inference(monotonicity,[status(thm)],[101])).
% 6.65/6.80 tff(103,plain,
% 6.65/6.80 (((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)) <=> ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8))),
% 6.65/6.80 inference(rewrite,[status(thm)],[])).
% 6.65/6.80 tff(104,axiom,((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 6.65/6.80 tff(105,plain,
% 6.65/6.80 ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 6.65/6.80 inference(modus_ponens,[status(thm)],[104, 103])).
% 6.65/6.80 tff(106,plain,
% 6.65/6.80 ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 6.65/6.80 inference(modus_ponens,[status(thm)],[105, 103])).
% 6.65/6.80 tff(107,plain,
% 6.65/6.80 ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 6.65/6.80 inference(modus_ponens,[status(thm)],[106, 103])).
% 6.65/6.80 tff(108,plain,
% 6.65/6.80 ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 6.65/6.80 inference(modus_ponens,[status(thm)],[107, 103])).
% 6.65/6.80 tff(109,plain,
% 6.65/6.80 ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 6.65/6.80 inference(modus_ponens,[status(thm)],[108, 103])).
% 6.65/6.80 tff(110,plain,
% 6.65/6.80 (multiply(sk_c7, sk_c8) = sk_c6),
% 6.65/6.80 inference(unit_resolution,[status(thm)],[109, 44])).
% 6.65/6.80 tff(111,plain,
% 6.65/6.80 (sk_c6 = multiply(sk_c7, sk_c8)),
% 6.65/6.80 inference(symmetry,[status(thm)],[110])).
% 6.65/6.80 tff(112,plain,
% 6.65/6.80 (sk_c6 = sk_c7),
% 6.65/6.80 inference(transitivity,[status(thm)],[111, 102, 100, 97, 95])).
% 6.65/6.80 tff(113,plain,
% 6.65/6.80 ((multiply(sk_c1, sk_c8) = sk_c6) <=> (multiply(sk_c1, sk_c8) = sk_c7)),
% 6.65/6.80 inference(monotonicity,[status(thm)],[112])).
% 6.65/6.80 tff(114,plain,
% 6.65/6.80 ((multiply(sk_c1, sk_c8) = sk_c7) <=> (multiply(sk_c1, sk_c8) = sk_c6)),
% 6.65/6.80 inference(symmetry,[status(thm)],[113])).
% 6.65/6.80 tff(115,plain,
% 6.65/6.80 (multiply(sk_c1, sk_c8) = sk_c6),
% 6.65/6.80 inference(modus_ponens,[status(thm)],[93, 114])).
% 6.65/6.80 tff(116,plain,
% 6.65/6.80 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 6.65/6.80 inference(symmetry,[status(thm)],[82])).
% 6.65/6.80 tff(117,plain,
% 6.65/6.80 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 6.65/6.80 inference(symmetry,[status(thm)],[59])).
% 6.65/6.80 tff(118,plain,
% 6.65/6.80 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 6.65/6.80 inference(symmetry,[status(thm)],[57])).
% 6.65/6.80 tff(119,plain,
% 6.65/6.80 (sk_c7 = multiply(sk_c8, sk_c3)),
% 6.65/6.80 inference(symmetry,[status(thm)],[50])).
% 6.65/6.80 tff(120,plain,
% 6.65/6.80 (inverse(sk_c1) = sk_c8),
% 6.65/6.80 inference(transitivity,[status(thm)],[73, 119, 118, 117, 116, 26])).
% 6.65/6.80 tff(121,plain,
% 6.65/6.80 (sk_c7 = sk_c8),
% 6.65/6.80 inference(transitivity,[status(thm)],[119, 118, 117, 116, 26])).
% 6.65/6.80 tff(122,plain,
% 6.65/6.80 (multiply(sk_c8, sk_c7) = multiply(sk_c7, sk_c8)),
% 6.65/6.80 inference(monotonicity,[status(thm)],[83, 121])).
% 6.65/6.80 tff(123,plain,
% 6.65/6.80 (multiply(sk_c8, sk_c7) = sk_c6),
% 6.65/6.80 inference(transitivity,[status(thm)],[122, 110])).
% 6.65/6.80 tff(124,plain,
% 6.65/6.80 (^[X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))))),
% 6.65/6.80 inference(bind,[status(th)],[])).
% 6.65/6.80 tff(125,plain,
% 6.65/6.80 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 6.65/6.80 inference(quant_intro,[status(thm)],[124])).
% 6.65/6.80 tff(126,plain,
% 6.65/6.80 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 6.65/6.80 inference(rewrite,[status(thm)],[])).
% 6.65/6.80 tff(127,plain,
% 6.65/6.80 (^[X3: $i, X2: $i, X5: $i, X1: $i] : rewrite(((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7))))),
% 6.65/6.80 inference(bind,[status(th)],[])).
% 6.65/6.80 tff(128,plain,
% 6.65/6.80 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 6.65/6.80 inference(quant_intro,[status(thm)],[127])).
% 6.65/6.80 tff(129,plain,
% 6.65/6.80 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 6.65/6.80 inference(elim_unused_vars,[status(thm)],[])).
% 6.65/6.80 tff(130,plain,
% 6.65/6.80 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 6.65/6.80 inference(destructive_equality_resolution,[status(thm)],[])).
% 6.65/6.80 tff(131,plain,
% 6.65/6.80 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)) | (~(inverse(X3) = sk_c7)))),
% 6.65/6.80 inference(transitivity,[status(thm)],[130, 129])).
% 6.65/6.80 tff(132,plain,
% 6.65/6.80 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 6.65/6.80 inference(transitivity,[status(thm)],[131, 128])).
% 6.65/6.80 tff(133,plain,
% 6.65/6.80 (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X4) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X5, sk_c8) = X4))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X5, sk_c8) = X4))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), (((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X5) = sk_c8))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X5) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), (((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c8) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X1, sk_c8) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X1, sk_c8) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c8) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), (((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c6))) | (~(inverse(X2) = sk_c8))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c8))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c6))) | (~(inverse(X2) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))))),
% 6.65/6.81 inference(bind,[status(th)],[])).
% 6.65/6.81 tff(134,plain,
% 6.65/6.81 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c6))) | (~(inverse(X2) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))),
% 6.65/6.81 inference(quant_intro,[status(thm)],[133])).
% 6.65/6.81 tff(135,plain,
% 6.65/6.81 (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c6))) | (~(inverse(X2) = sk_c8))) <=> ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 6.65/6.81 inference(transitivity,[status(thm)],[134, 132])).
% 6.65/6.81 tff(136,axiom,(![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c8, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c6))) | (~(inverse(X2) = sk_c8)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_31')).
% 6.65/6.81 tff(137,plain,
% 6.65/6.81 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 6.65/6.81 inference(modus_ponens,[status(thm)],[136, 135])).
% 6.65/6.81 tff(138,plain,
% 6.65/6.81 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 6.65/6.81 inference(modus_ponens,[status(thm)],[137, 126])).
% 6.65/6.81 tff(139,plain,(
% 6.65/6.81 ![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 6.65/6.81 inference(skolemize,[status(sab)],[138])).
% 6.65/6.81 tff(140,plain,
% 6.65/6.81 (![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))),
% 6.65/6.81 inference(modus_ponens,[status(thm)],[139, 125])).
% 6.65/6.81 tff(141,plain,
% 6.65/6.81 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)))),
% 6.65/6.81 inference(rewrite,[status(thm)],[])).
% 6.65/6.81 tff(142,plain,
% 6.65/6.81 (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)))),
% 6.65/6.81 inference(rewrite,[status(thm)],[])).
% 6.65/6.81 tff(143,plain,
% 6.65/6.81 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7))))),
% 6.65/6.81 inference(monotonicity,[status(thm)],[142])).
% 6.65/6.81 tff(144,plain,
% 6.65/6.81 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)))),
% 6.65/6.81 inference(transitivity,[status(thm)],[143, 141])).
% 6.65/6.81 tff(145,plain,
% 6.65/6.81 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7)))),
% 6.65/6.81 inference(quant_inst,[status(thm)],[])).
% 6.65/6.81 tff(146,plain,
% 6.65/6.81 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7))),
% 6.65/6.81 inference(modus_ponens,[status(thm)],[145, 144])).
% 6.65/6.81 tff(147,plain,
% 6.65/6.81 ((~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c6)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c1, sk_c8)) = sk_c7))),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[146, 110, 91, 73, 140])).
% 6.65/6.81 tff(148,plain,
% 6.65/6.81 ($false),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[147, 123, 120, 115, 93, 85])).
% 6.65/6.81 tff(149,plain,(inverse(sk_c4) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 6.65/6.81 tff(150,plain,
% 6.65/6.81 (sk_c8 = inverse(sk_c4)),
% 6.65/6.81 inference(symmetry,[status(thm)],[149])).
% 6.65/6.81 tff(151,plain,
% 6.65/6.81 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 6.65/6.81 inference(monotonicity,[status(thm)],[150])).
% 6.65/6.81 tff(152,plain,
% 6.65/6.81 (multiply(sk_c8, sk_c4) = identity),
% 6.65/6.81 inference(transitivity,[status(thm)],[151, 43])).
% 6.65/6.81 tff(153,plain,
% 6.65/6.81 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(identity, sk_c8)),
% 6.65/6.81 inference(monotonicity,[status(thm)],[152])).
% 6.65/6.81 tff(154,plain,
% 6.65/6.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 6.65/6.81 inference(quant_inst,[status(thm)],[])).
% 6.65/6.81 tff(155,plain,
% 6.65/6.81 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[154, 14])).
% 6.65/6.81 tff(156,plain,
% 6.65/6.81 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 6.65/6.81 inference(symmetry,[status(thm)],[155])).
% 6.65/6.81 tff(157,assumption,(~(inverse(sk_c2) = sk_c8)), introduced(assumption)).
% 6.65/6.81 tff(158,plain,
% 6.65/6.81 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 6.65/6.81 inference(rewrite,[status(thm)],[])).
% 6.65/6.81 tff(159,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_27')).
% 6.65/6.81 tff(160,plain,
% 6.65/6.81 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 6.65/6.81 inference(modus_ponens,[status(thm)],[159, 158])).
% 6.65/6.81 tff(161,plain,
% 6.65/6.81 (multiply(sk_c4, sk_c8) = sk_c7),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[160, 157])).
% 6.65/6.81 tff(162,plain,
% 6.65/6.81 (sk_c7 = multiply(sk_c4, sk_c8)),
% 6.65/6.81 inference(symmetry,[status(thm)],[161])).
% 6.65/6.81 tff(163,plain,
% 6.65/6.81 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 6.65/6.81 inference(monotonicity,[status(thm)],[162])).
% 6.65/6.81 tff(164,assumption,(~(multiply(sk_c8, sk_c7) = sk_c6)), introduced(assumption)).
% 6.65/6.81 tff(165,plain,
% 6.65/6.81 (((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c7) = sk_c6)) <=> ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c7) = sk_c6))),
% 6.65/6.81 inference(rewrite,[status(thm)],[])).
% 6.65/6.81 tff(166,axiom,((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c7) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 6.65/6.81 tff(167,plain,
% 6.65/6.81 ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c7) = sk_c6)),
% 6.65/6.81 inference(modus_ponens,[status(thm)],[166, 165])).
% 6.65/6.81 tff(168,plain,
% 6.65/6.81 (multiply(sk_c7, sk_c8) = sk_c6),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[167, 164])).
% 6.65/6.81 tff(169,plain,
% 6.65/6.81 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c7) = sk_c6)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c7) = sk_c6))),
% 6.65/6.81 inference(rewrite,[status(thm)],[])).
% 6.65/6.81 tff(170,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c7) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_26')).
% 6.65/6.81 tff(171,plain,
% 6.65/6.81 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c7) = sk_c6)),
% 6.65/6.81 inference(modus_ponens,[status(thm)],[170, 169])).
% 6.65/6.81 tff(172,plain,
% 6.65/6.81 (inverse(sk_c2) = sk_c8),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[171, 164])).
% 6.65/6.81 tff(173,plain,
% 6.65/6.81 (sk_c8 = inverse(sk_c2)),
% 6.65/6.81 inference(symmetry,[status(thm)],[172])).
% 6.65/6.81 tff(174,plain,
% 6.65/6.81 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 6.65/6.81 inference(monotonicity,[status(thm)],[173])).
% 6.65/6.81 tff(175,plain,
% 6.65/6.81 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 6.65/6.81 inference(symmetry,[status(thm)],[174])).
% 6.65/6.81 tff(176,plain,
% 6.65/6.81 (identity = multiply(sk_c8, sk_c2)),
% 6.65/6.81 inference(transitivity,[status(thm)],[67, 175])).
% 6.65/6.81 tff(177,plain,
% 6.65/6.81 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 6.65/6.81 inference(monotonicity,[status(thm)],[176])).
% 6.65/6.81 tff(178,plain,
% 6.65/6.81 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 6.65/6.81 inference(symmetry,[status(thm)],[177])).
% 6.65/6.81 tff(179,plain,
% 6.65/6.81 (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c7) = sk_c6)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c7) = sk_c6))),
% 6.65/6.81 inference(rewrite,[status(thm)],[])).
% 6.65/6.81 tff(180,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c7) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_21')).
% 6.65/6.81 tff(181,plain,
% 6.65/6.81 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c7) = sk_c6)),
% 6.65/6.81 inference(modus_ponens,[status(thm)],[180, 179])).
% 6.65/6.81 tff(182,plain,
% 6.65/6.81 (multiply(sk_c2, sk_c8) = sk_c3),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[181, 164])).
% 6.65/6.81 tff(183,plain,
% 6.65/6.81 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 6.65/6.81 inference(monotonicity,[status(thm)],[182])).
% 6.65/6.81 tff(184,plain,
% 6.65/6.81 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 6.65/6.81 inference(symmetry,[status(thm)],[183])).
% 6.65/6.81 tff(185,plain,
% 6.65/6.81 (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c7) = sk_c6)) <=> ((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c7) = sk_c6))),
% 6.65/6.81 inference(rewrite,[status(thm)],[])).
% 6.65/6.81 tff(186,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c7) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 6.65/6.81 tff(187,plain,
% 6.65/6.81 ((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c7) = sk_c6)),
% 6.65/6.81 inference(modus_ponens,[status(thm)],[186, 185])).
% 6.65/6.81 tff(188,plain,
% 6.65/6.81 (multiply(sk_c8, sk_c3) = sk_c7),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[187, 164])).
% 6.65/6.81 tff(189,plain,
% 6.65/6.81 (sk_c7 = multiply(sk_c8, sk_c3)),
% 6.65/6.81 inference(symmetry,[status(thm)],[188])).
% 6.65/6.81 tff(190,plain,
% 6.65/6.81 (sk_c7 = sk_c8),
% 6.65/6.81 inference(transitivity,[status(thm)],[189, 184, 117, 178, 26])).
% 6.65/6.81 tff(191,plain,
% 6.65/6.81 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c8)),
% 6.65/6.81 inference(monotonicity,[status(thm)],[190])).
% 6.65/6.81 tff(192,plain,
% 6.65/6.81 (sk_c8 = sk_c7),
% 6.65/6.81 inference(transitivity,[status(thm)],[37, 177, 59, 183, 188])).
% 6.65/6.81 tff(193,plain,
% 6.65/6.81 (multiply(sk_c8, sk_c7) = multiply(sk_c7, sk_c7)),
% 6.65/6.81 inference(monotonicity,[status(thm)],[192])).
% 6.65/6.81 tff(194,plain,
% 6.65/6.81 (multiply(sk_c8, sk_c7) = sk_c6),
% 6.65/6.81 inference(transitivity,[status(thm)],[193, 191, 168])).
% 6.65/6.81 tff(195,plain,
% 6.65/6.81 ($false),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[164, 194])).
% 6.65/6.81 tff(196,plain,(multiply(sk_c8, sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 6.65/6.81 tff(197,plain,
% 6.65/6.81 (sk_c6 = multiply(sk_c8, sk_c7)),
% 6.65/6.81 inference(symmetry,[status(thm)],[196])).
% 6.65/6.81 tff(198,plain,
% 6.65/6.81 (((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 6.65/6.81 inference(rewrite,[status(thm)],[])).
% 6.65/6.81 tff(199,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_29')).
% 6.65/6.81 tff(200,plain,
% 6.65/6.81 ((inverse(sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 6.65/6.81 inference(modus_ponens,[status(thm)],[199, 198])).
% 6.65/6.81 tff(201,plain,
% 6.65/6.81 (multiply(sk_c5, sk_c8) = sk_c6),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[200, 157])).
% 6.65/6.81 tff(202,plain,
% 6.65/6.81 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 6.65/6.81 inference(quant_inst,[status(thm)],[])).
% 6.65/6.81 tff(203,plain,
% 6.65/6.81 (multiply(identity, sk_c5) = sk_c5),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[202, 24])).
% 6.65/6.81 tff(204,plain,
% 6.65/6.81 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 6.65/6.81 inference(symmetry,[status(thm)],[151])).
% 6.65/6.81 tff(205,plain,
% 6.65/6.81 (identity = multiply(inverse(sk_c4), sk_c4)),
% 6.65/6.81 inference(symmetry,[status(thm)],[43])).
% 6.65/6.81 tff(206,plain,
% 6.65/6.81 (identity = multiply(sk_c8, sk_c4)),
% 6.65/6.81 inference(transitivity,[status(thm)],[205, 204])).
% 6.65/6.81 tff(207,plain,
% 6.65/6.81 (multiply(identity, sk_c5) = multiply(multiply(sk_c8, sk_c4), sk_c5)),
% 6.65/6.81 inference(monotonicity,[status(thm)],[206])).
% 6.65/6.81 tff(208,plain,
% 6.65/6.81 (multiply(multiply(sk_c8, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 6.65/6.81 inference(symmetry,[status(thm)],[207])).
% 6.65/6.81 tff(209,plain,
% 6.65/6.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c5) = multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.81 inference(quant_inst,[status(thm)],[])).
% 6.65/6.81 tff(210,plain,
% 6.65/6.81 (multiply(multiply(sk_c8, sk_c4), sk_c5) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[209, 14])).
% 6.65/6.81 tff(211,plain,
% 6.65/6.81 (multiply(sk_c8, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c8, sk_c4), sk_c5)),
% 6.65/6.81 inference(symmetry,[status(thm)],[210])).
% 6.65/6.81 tff(212,plain,
% 6.65/6.81 (multiply(sk_c8, multiply(sk_c4, sk_c5)) = sk_c5),
% 6.65/6.81 inference(transitivity,[status(thm)],[211, 208, 203])).
% 6.65/6.81 tff(213,plain,
% 6.65/6.81 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = multiply(sk_c5, sk_c8)),
% 6.65/6.81 inference(monotonicity,[status(thm)],[212])).
% 6.65/6.81 tff(214,plain,
% 6.65/6.81 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c8),
% 6.65/6.81 inference(transitivity,[status(thm)],[213, 201, 197, 163, 156, 153, 26])).
% 6.65/6.81 tff(215,plain,
% 6.65/6.81 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 6.65/6.81 inference(quant_inst,[status(thm)],[])).
% 6.65/6.81 tff(216,plain,
% 6.65/6.81 (multiply(inverse(sk_c7), sk_c7) = identity),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[215, 33])).
% 6.65/6.81 tff(217,plain,
% 6.65/6.81 (multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)) = multiply(sk_c7, identity)),
% 6.65/6.81 inference(monotonicity,[status(thm)],[216])).
% 6.65/6.81 tff(218,plain,
% 6.65/6.81 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = multiply(multiply(sk_c7, identity), sk_c8)),
% 6.65/6.81 inference(monotonicity,[status(thm)],[217, 214])).
% 6.65/6.81 tff(219,plain,
% 6.65/6.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)))),
% 6.65/6.81 inference(quant_inst,[status(thm)],[])).
% 6.65/6.81 tff(220,plain,
% 6.65/6.81 (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8))),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[219, 14])).
% 6.65/6.81 tff(221,plain,
% 6.65/6.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7) = multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)))),
% 6.65/6.81 inference(quant_inst,[status(thm)],[])).
% 6.65/6.81 tff(222,plain,
% 6.65/6.81 (multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7) = multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))),
% 6.65/6.81 inference(unit_resolution,[status(thm)],[221, 14])).
% 6.65/6.81 tff(223,plain,
% 6.65/6.81 (multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)) = multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7)),
% 6.65/6.81 inference(symmetry,[status(thm)],[222])).
% 6.65/6.81 tff(224,plain,
% 6.65/6.81 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.81 inference(monotonicity,[status(thm)],[223])).
% 6.65/6.81 tff(225,plain,
% 6.65/6.81 (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.81 inference(symmetry,[status(thm)],[224])).
% 6.65/6.81 tff(226,plain,
% 6.65/6.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(227,plain,
% 6.65/6.82 (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[226, 14])).
% 6.65/6.82 tff(228,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(symmetry,[status(thm)],[227])).
% 6.65/6.82 tff(229,plain,
% 6.65/6.82 (sk_c5 = multiply(identity, sk_c5)),
% 6.65/6.82 inference(symmetry,[status(thm)],[203])).
% 6.65/6.82 tff(230,plain,
% 6.65/6.82 (sk_c5 = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.65/6.82 inference(transitivity,[status(thm)],[229, 207, 210])).
% 6.65/6.82 tff(231,plain,
% 6.65/6.82 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[230])).
% 6.65/6.82 tff(232,plain,
% 6.65/6.82 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c7, sk_c5)),
% 6.65/6.82 inference(symmetry,[status(thm)],[231])).
% 6.65/6.82 tff(233,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c5))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[232])).
% 6.65/6.82 tff(234,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.82 inference(symmetry,[status(thm)],[233])).
% 6.65/6.82 tff(235,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c7, sk_c5))))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(236,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[235, 14])).
% 6.65/6.82 tff(237,plain,
% 6.65/6.82 (multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c5))),
% 6.65/6.82 inference(symmetry,[status(thm)],[236])).
% 6.65/6.82 tff(238,plain,
% 6.65/6.82 (identity = multiply(inverse(sk_c7), sk_c7)),
% 6.65/6.82 inference(symmetry,[status(thm)],[216])).
% 6.65/6.82 tff(239,plain,
% 6.65/6.82 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c7), sk_c7)),
% 6.65/6.82 inference(transitivity,[status(thm)],[151, 43, 238])).
% 6.65/6.82 tff(240,plain,
% 6.65/6.82 (multiply(multiply(sk_c8, sk_c4), sk_c5) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c5)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[239])).
% 6.65/6.82 tff(241,plain,
% 6.65/6.82 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c5) = multiply(multiply(sk_c8, sk_c4), sk_c5)),
% 6.65/6.82 inference(symmetry,[status(thm)],[240])).
% 6.65/6.82 tff(242,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c7), sk_c5) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(243,plain,
% 6.65/6.82 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c5) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c5))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[242, 14])).
% 6.65/6.82 tff(244,plain,
% 6.65/6.82 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c5)),
% 6.65/6.82 inference(symmetry,[status(thm)],[243])).
% 6.65/6.82 tff(245,plain,
% 6.65/6.82 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)) = sk_c5),
% 6.65/6.82 inference(transitivity,[status(thm)],[244, 241, 208, 203])).
% 6.65/6.82 tff(246,plain,
% 6.65/6.82 (multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c7, sk_c5))) = multiply(sk_c7, sk_c5)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[245])).
% 6.65/6.82 tff(247,plain,
% 6.65/6.82 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)))),
% 6.65/6.82 inference(symmetry,[status(thm)],[246])).
% 6.65/6.82 tff(248,plain,
% 6.65/6.82 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(transitivity,[status(thm)],[232, 247, 237, 234, 228, 225])).
% 6.65/6.82 tff(249,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[248])).
% 6.65/6.82 tff(250,plain,
% 6.65/6.82 (multiply(sk_c4, sk_c8) = multiply(sk_c4, multiply(identity, sk_c8))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[37])).
% 6.65/6.82 tff(251,plain,
% 6.65/6.82 (multiply(sk_c4, multiply(identity, sk_c8)) = multiply(sk_c4, sk_c8)),
% 6.65/6.82 inference(symmetry,[status(thm)],[250])).
% 6.65/6.82 tff(252,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, identity), sk_c8) = multiply(sk_c4, multiply(identity, sk_c8)))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(253,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, identity), sk_c8) = multiply(sk_c4, multiply(identity, sk_c8))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[252, 14])).
% 6.65/6.82 tff(254,plain,
% 6.65/6.82 (multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)) = multiply(sk_c4, identity)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[216])).
% 6.65/6.82 tff(255,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8) = multiply(multiply(sk_c4, identity), sk_c8)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[254])).
% 6.65/6.82 tff(256,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8) = sk_c7),
% 6.65/6.82 inference(transitivity,[status(thm)],[255, 253, 251, 161])).
% 6.65/6.82 tff(257,plain,
% 6.65/6.82 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c7, sk_c5)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[256, 212])).
% 6.65/6.82 tff(258,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(259,plain,
% 6.65/6.82 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[258, 14])).
% 6.65/6.82 tff(260,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(symmetry,[status(thm)],[259])).
% 6.65/6.82 tff(261,plain,
% 6.65/6.82 (inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = inverse(sk_c5)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[212])).
% 6.65/6.82 tff(262,plain,
% 6.65/6.82 (inverse(sk_c5) = inverse(multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(symmetry,[status(thm)],[261])).
% 6.65/6.82 tff(263,plain,
% 6.65/6.82 (((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 6.65/6.82 inference(rewrite,[status(thm)],[])).
% 6.65/6.82 tff(264,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_30')).
% 6.65/6.82 tff(265,plain,
% 6.65/6.82 ((inverse(sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 6.65/6.82 inference(modus_ponens,[status(thm)],[264, 263])).
% 6.65/6.82 tff(266,plain,
% 6.65/6.82 (inverse(sk_c5) = sk_c8),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[265, 157])).
% 6.65/6.82 tff(267,plain,
% 6.65/6.82 (sk_c8 = inverse(sk_c5)),
% 6.65/6.82 inference(symmetry,[status(thm)],[266])).
% 6.65/6.82 tff(268,plain,
% 6.65/6.82 (sk_c8 = inverse(multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(transitivity,[status(thm)],[267, 262])).
% 6.65/6.82 tff(269,plain,
% 6.65/6.82 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[268])).
% 6.65/6.82 tff(270,plain,
% 6.65/6.82 (multiply(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(symmetry,[status(thm)],[269])).
% 6.65/6.82 tff(271,plain,
% 6.65/6.82 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = identity)),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(272,plain,
% 6.65/6.82 (multiply(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = identity),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[271, 33])).
% 6.65/6.82 tff(273,plain,
% 6.65/6.82 (identity = multiply(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(symmetry,[status(thm)],[272])).
% 6.65/6.82 tff(274,plain,
% 6.65/6.82 (identity = multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(transitivity,[status(thm)],[273, 270])).
% 6.65/6.82 tff(275,plain,
% 6.65/6.82 (multiply(sk_c4, identity) = multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))),
% 6.65/6.82 inference(symmetry,[status(thm)],[254])).
% 6.65/6.82 tff(276,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, identity), identity) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[275, 274])).
% 6.65/6.82 tff(277,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, identity), identity) = multiply(sk_c4, multiply(identity, identity)))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(278,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, identity), identity) = multiply(sk_c4, multiply(identity, identity))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[277, 14])).
% 6.65/6.82 tff(279,plain,
% 6.65/6.82 (multiply(sk_c4, multiply(identity, identity)) = multiply(multiply(sk_c4, identity), identity)),
% 6.65/6.82 inference(symmetry,[status(thm)],[278])).
% 6.65/6.82 tff(280,plain,
% 6.65/6.82 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, identity) = identity)),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(281,plain,
% 6.65/6.82 (multiply(identity, identity) = identity),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[280, 24])).
% 6.65/6.82 tff(282,plain,
% 6.65/6.82 (identity = multiply(identity, identity)),
% 6.65/6.82 inference(symmetry,[status(thm)],[281])).
% 6.65/6.82 tff(283,plain,
% 6.65/6.82 (multiply(sk_c4, identity) = multiply(sk_c4, multiply(identity, identity))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[282])).
% 6.65/6.82 tff(284,plain,
% 6.65/6.82 (multiply(sk_c4, identity) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(transitivity,[status(thm)],[283, 279, 276, 260, 257, 231])).
% 6.65/6.82 tff(285,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, identity), sk_c8) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[284])).
% 6.65/6.82 tff(286,plain,
% 6.65/6.82 (multiply(sk_c4, multiply(identity, sk_c8)) = multiply(multiply(sk_c4, identity), sk_c8)),
% 6.65/6.82 inference(symmetry,[status(thm)],[253])).
% 6.65/6.82 tff(287,plain,
% 6.65/6.82 (sk_c7 = multiply(sk_c7, sk_c8)),
% 6.65/6.82 inference(transitivity,[status(thm)],[162, 250, 286, 285, 249, 220, 218, 41, 39])).
% 6.65/6.82 tff(288,plain,
% 6.65/6.82 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c7)),
% 6.65/6.82 inference(symmetry,[status(thm)],[163])).
% 6.65/6.82 tff(289,plain,
% 6.65/6.82 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 6.65/6.82 inference(symmetry,[status(thm)],[153])).
% 6.65/6.82 tff(290,plain,
% 6.65/6.82 (multiply(identity, sk_c8) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c8)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[238])).
% 6.65/6.82 tff(291,plain,
% 6.65/6.82 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c8) = multiply(identity, sk_c8)),
% 6.65/6.82 inference(symmetry,[status(thm)],[290])).
% 6.65/6.82 tff(292,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c7), sk_c8) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8)))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(293,plain,
% 6.65/6.82 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c8) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[292, 14])).
% 6.65/6.82 tff(294,plain,
% 6.65/6.82 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c8)) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c8)),
% 6.65/6.82 inference(symmetry,[status(thm)],[293])).
% 6.65/6.82 tff(295,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = multiply(multiply(sk_c4, identity), sk_c8)),
% 6.65/6.82 inference(symmetry,[status(thm)],[285])).
% 6.65/6.82 tff(296,plain,
% 6.65/6.82 (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8)),
% 6.65/6.82 inference(symmetry,[status(thm)],[249])).
% 6.65/6.82 tff(297,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8)),
% 6.65/6.82 inference(symmetry,[status(thm)],[220])).
% 6.65/6.82 tff(298,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, identity), sk_c8) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8))),
% 6.65/6.82 inference(symmetry,[status(thm)],[218])).
% 6.65/6.82 tff(299,plain,
% 6.65/6.82 (multiply(sk_c7, multiply(identity, sk_c8)) = multiply(multiply(sk_c7, identity), sk_c8)),
% 6.65/6.82 inference(symmetry,[status(thm)],[41])).
% 6.65/6.82 tff(300,plain,
% 6.65/6.82 (multiply(sk_c7, sk_c8) = sk_c7),
% 6.65/6.82 inference(transitivity,[status(thm)],[38, 299, 298, 297, 296, 295, 253, 251, 161])).
% 6.65/6.82 tff(301,plain,
% 6.65/6.82 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c8)) = multiply(inverse(sk_c7), sk_c7)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[300])).
% 6.65/6.82 tff(302,plain,
% 6.65/6.82 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8))),
% 6.65/6.82 inference(symmetry,[status(thm)],[301])).
% 6.65/6.82 tff(303,plain,
% 6.65/6.82 (sk_c8 = identity),
% 6.65/6.82 inference(transitivity,[status(thm)],[37, 290, 293, 301, 216])).
% 6.65/6.82 tff(304,plain,
% 6.65/6.82 (multiply(sk_c8, sk_c8) = multiply(identity, identity)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[303, 303])).
% 6.65/6.82 tff(305,plain,
% 6.65/6.82 (multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = multiply(sk_c8, sk_c8)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[214])).
% 6.65/6.82 tff(306,plain,
% 6.65/6.82 (multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c6),
% 6.65/6.82 inference(transitivity,[status(thm)],[305, 304, 281, 238, 302, 294, 291, 289, 155, 288, 196])).
% 6.65/6.82 tff(307,plain,
% 6.65/6.82 ((multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7) <=> (sk_c6 = multiply(sk_c7, sk_c8))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[306, 287])).
% 6.65/6.82 tff(308,plain,
% 6.65/6.82 ((multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7) <=> (multiply(sk_c7, sk_c8) = sk_c6)),
% 6.65/6.82 inference(transitivity,[status(thm)],[307, 36])).
% 6.65/6.82 tff(309,plain,
% 6.65/6.82 ((multiply(sk_c7, sk_c8) = sk_c6) <=> (multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)),
% 6.65/6.82 inference(symmetry,[status(thm)],[308])).
% 6.65/6.82 tff(310,plain,
% 6.65/6.82 ((sk_c7 = inverse(sk_c4)) <=> (inverse(sk_c4) = sk_c7)),
% 6.65/6.82 inference(commutativity,[status(thm)],[])).
% 6.65/6.82 tff(311,plain,
% 6.65/6.82 (sk_c6 = inverse(sk_c4)),
% 6.65/6.82 inference(transitivity,[status(thm)],[197, 163, 156, 153, 26, 150])).
% 6.65/6.82 tff(312,plain,
% 6.65/6.82 ((multiply(sk_c7, sk_c8) = sk_c6) <=> (sk_c7 = inverse(sk_c4))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[300, 311])).
% 6.65/6.82 tff(313,plain,
% 6.65/6.82 ((multiply(sk_c7, sk_c8) = sk_c6) <=> (inverse(sk_c4) = sk_c7)),
% 6.65/6.82 inference(transitivity,[status(thm)],[312, 310])).
% 6.65/6.82 tff(314,plain,
% 6.65/6.82 ((inverse(sk_c4) = sk_c7) <=> (multiply(sk_c7, sk_c8) = sk_c6)),
% 6.65/6.82 inference(symmetry,[status(thm)],[313])).
% 6.65/6.82 tff(315,plain,
% 6.65/6.82 ((inverse(sk_c4) = sk_c7) <=> (multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)),
% 6.65/6.82 inference(transitivity,[status(thm)],[314, 309])).
% 6.65/6.82 tff(316,assumption,(multiply(sk_c4, sk_c8) = sk_c7), introduced(assumption)).
% 6.65/6.82 tff(317,plain,
% 6.65/6.82 (sk_c7 = multiply(sk_c4, sk_c8)),
% 6.65/6.82 inference(symmetry,[status(thm)],[316])).
% 6.65/6.82 tff(318,plain,
% 6.65/6.82 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[317])).
% 6.65/6.82 tff(319,plain,
% 6.65/6.82 (sk_c6 = inverse(sk_c4)),
% 6.65/6.82 inference(transitivity,[status(thm)],[197, 318, 156, 153, 26, 150])).
% 6.65/6.82 tff(320,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8) = sk_c7),
% 6.65/6.82 inference(transitivity,[status(thm)],[255, 253, 251, 316])).
% 6.65/6.82 tff(321,plain,
% 6.65/6.82 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c7, sk_c5)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[320, 212])).
% 6.65/6.82 tff(322,assumption,(inverse(sk_c5) = sk_c8), introduced(assumption)).
% 6.65/6.82 tff(323,plain,
% 6.65/6.82 (sk_c8 = inverse(sk_c5)),
% 6.65/6.82 inference(symmetry,[status(thm)],[322])).
% 6.65/6.82 tff(324,plain,
% 6.65/6.82 (sk_c8 = inverse(multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(transitivity,[status(thm)],[323, 262])).
% 6.65/6.82 tff(325,plain,
% 6.65/6.82 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[324])).
% 6.65/6.82 tff(326,plain,
% 6.65/6.82 (multiply(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(symmetry,[status(thm)],[325])).
% 6.65/6.82 tff(327,plain,
% 6.65/6.82 (identity = multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(transitivity,[status(thm)],[273, 326])).
% 6.65/6.82 tff(328,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, identity), identity) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[275, 327])).
% 6.65/6.82 tff(329,plain,
% 6.65/6.82 (multiply(sk_c4, identity) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(transitivity,[status(thm)],[283, 279, 328, 260, 321, 231])).
% 6.65/6.82 tff(330,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, identity), sk_c8) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[329])).
% 6.65/6.82 tff(331,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = multiply(multiply(sk_c4, identity), sk_c8)),
% 6.65/6.82 inference(symmetry,[status(thm)],[330])).
% 6.65/6.82 tff(332,assumption,(multiply(sk_c5, sk_c8) = sk_c6), introduced(assumption)).
% 6.65/6.82 tff(333,plain,
% 6.65/6.82 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c8),
% 6.65/6.82 inference(transitivity,[status(thm)],[213, 332, 197, 318, 156, 153, 26])).
% 6.65/6.82 tff(334,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = multiply(multiply(sk_c7, identity), sk_c8)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[217, 333])).
% 6.65/6.82 tff(335,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, identity), sk_c8) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8))),
% 6.65/6.82 inference(symmetry,[status(thm)],[334])).
% 6.65/6.82 tff(336,plain,
% 6.65/6.82 (multiply(sk_c7, sk_c8) = sk_c7),
% 6.65/6.82 inference(transitivity,[status(thm)],[38, 299, 335, 297, 296, 331, 253, 251, 316])).
% 6.65/6.82 tff(337,plain,
% 6.65/6.82 ((multiply(sk_c7, sk_c8) = sk_c6) <=> (sk_c7 = inverse(sk_c4))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[336, 319])).
% 6.65/6.82 tff(338,plain,
% 6.65/6.82 ((multiply(sk_c7, sk_c8) = sk_c6) <=> (inverse(sk_c4) = sk_c7)),
% 6.65/6.82 inference(transitivity,[status(thm)],[337, 310])).
% 6.65/6.82 tff(339,plain,
% 6.65/6.82 ((inverse(sk_c4) = sk_c7) <=> (multiply(sk_c7, sk_c8) = sk_c6)),
% 6.65/6.82 inference(symmetry,[status(thm)],[338])).
% 6.65/6.82 tff(340,plain,
% 6.65/6.82 ((~(inverse(sk_c4) = sk_c7)) <=> (~(multiply(sk_c7, sk_c8) = sk_c6))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[339])).
% 6.65/6.82 tff(341,assumption,(~(inverse(sk_c4) = sk_c7)), introduced(assumption)).
% 6.65/6.82 tff(342,plain,
% 6.65/6.82 (~(multiply(sk_c7, sk_c8) = sk_c6)),
% 6.65/6.82 inference(modus_ponens,[status(thm)],[341, 340])).
% 6.65/6.82 tff(343,plain,
% 6.65/6.82 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c7)),
% 6.65/6.82 inference(symmetry,[status(thm)],[318])).
% 6.65/6.82 tff(344,plain,
% 6.65/6.82 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c8)) = multiply(inverse(sk_c7), sk_c7)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[336])).
% 6.65/6.82 tff(345,plain,
% 6.65/6.82 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8))),
% 6.65/6.82 inference(symmetry,[status(thm)],[344])).
% 6.65/6.82 tff(346,plain,
% 6.65/6.82 (multiply(identity, identity) = multiply(multiply(sk_c8, sk_c4), identity)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[206])).
% 6.65/6.82 tff(347,plain,
% 6.65/6.82 (multiply(multiply(sk_c8, sk_c4), identity) = multiply(identity, identity)),
% 6.65/6.82 inference(symmetry,[status(thm)],[346])).
% 6.65/6.82 tff(348,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), identity) = multiply(sk_c8, multiply(sk_c4, identity)))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(349,plain,
% 6.65/6.82 (multiply(multiply(sk_c8, sk_c4), identity) = multiply(sk_c8, multiply(sk_c4, identity))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[348, 14])).
% 6.65/6.82 tff(350,plain,
% 6.65/6.82 (multiply(sk_c8, multiply(sk_c4, identity)) = multiply(multiply(sk_c8, sk_c4), identity)),
% 6.65/6.82 inference(symmetry,[status(thm)],[349])).
% 6.65/6.82 tff(351,plain,
% 6.65/6.82 (multiply(sk_c4, sk_c5) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[230])).
% 6.65/6.82 tff(352,plain,
% 6.65/6.82 (multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c4, sk_c5)),
% 6.65/6.82 inference(symmetry,[status(thm)],[351])).
% 6.65/6.82 tff(353,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c5)) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(354,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c5)) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[353, 14])).
% 6.65/6.82 tff(355,plain,
% 6.65/6.82 (multiply(sk_c4, sk_c8) = multiply(sk_c7, sk_c8)),
% 6.65/6.82 inference(transitivity,[status(thm)],[250, 286, 330, 249, 220, 334, 41, 39])).
% 6.65/6.82 tff(356,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c5))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[355])).
% 6.65/6.82 tff(357,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c5))),
% 6.65/6.82 inference(symmetry,[status(thm)],[356])).
% 6.65/6.82 tff(358,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c5)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(359,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c5)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[358, 14])).
% 6.65/6.82 tff(360,plain,
% 6.65/6.82 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c5))),
% 6.65/6.82 inference(symmetry,[status(thm)],[359])).
% 6.65/6.82 tff(361,plain,
% 6.65/6.82 (multiply(sk_c4, identity) = multiply(sk_c4, sk_c5)),
% 6.65/6.82 inference(transitivity,[status(thm)],[283, 279, 328, 260, 321, 231, 360, 357, 354, 352])).
% 6.65/6.82 tff(362,plain,
% 6.65/6.82 (multiply(sk_c8, multiply(sk_c4, identity)) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[361])).
% 6.65/6.82 tff(363,plain,
% 6.65/6.82 (multiply(sk_c8, multiply(sk_c4, sk_c5)) = multiply(sk_c8, multiply(sk_c4, identity))),
% 6.65/6.82 inference(symmetry,[status(thm)],[362])).
% 6.65/6.82 tff(364,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(365,plain,
% 6.65/6.82 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[364, 14])).
% 6.65/6.82 tff(366,plain,
% 6.65/6.82 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7)),
% 6.65/6.82 inference(symmetry,[status(thm)],[365])).
% 6.65/6.82 tff(367,plain,
% 6.65/6.82 (multiply(sk_c7, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[366])).
% 6.65/6.82 tff(368,plain,
% 6.65/6.82 (multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7)) = multiply(sk_c7, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 6.65/6.82 inference(symmetry,[status(thm)],[367])).
% 6.65/6.82 tff(369,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7)))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(370,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[369, 14])).
% 6.65/6.82 tff(371,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[232])).
% 6.65/6.82 tff(372,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7)),
% 6.65/6.82 inference(symmetry,[status(thm)],[371])).
% 6.65/6.82 tff(373,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7)),
% 6.65/6.82 inference(monotonicity,[status(thm)],[316])).
% 6.65/6.82 tff(374,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8))),
% 6.65/6.82 inference(symmetry,[status(thm)],[373])).
% 6.65/6.82 tff(375,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7) = multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(376,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7) = multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))),
% 6.65/6.82 inference(unit_resolution,[status(thm)],[375, 14])).
% 6.65/6.82 tff(377,plain,
% 6.65/6.82 (multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)) = multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7)),
% 6.65/6.82 inference(symmetry,[status(thm)],[376])).
% 6.65/6.82 tff(378,plain,
% 6.65/6.82 (multiply(sk_c4, multiply(identity, identity)) = multiply(sk_c4, identity)),
% 6.65/6.82 inference(symmetry,[status(thm)],[283])).
% 6.65/6.82 tff(379,plain,
% 6.65/6.82 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c4, identity), identity)),
% 6.65/6.82 inference(symmetry,[status(thm)],[328])).
% 6.65/6.82 tff(380,plain,
% 6.65/6.82 (multiply(sk_c7, sk_c5) = multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.82 inference(symmetry,[status(thm)],[321])).
% 6.65/6.82 tff(381,plain,
% 6.65/6.82 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8))),
% 6.65/6.82 inference(transitivity,[status(thm)],[380, 259, 379, 278, 378, 275, 377, 374])).
% 6.65/6.82 tff(382,plain,
% 6.65/6.82 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8)), multiply(sk_c4, sk_c8))),
% 6.65/6.82 inference(monotonicity,[status(thm)],[381, 317])).
% 6.65/6.82 tff(383,plain,
% 6.65/6.82 (multiply(multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 6.65/6.82 inference(symmetry,[status(thm)],[382])).
% 6.65/6.82 tff(384,plain,
% 6.65/6.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8))))),
% 6.65/6.82 inference(quant_inst,[status(thm)],[])).
% 6.65/6.82 tff(385,plain,
% 6.65/6.83 (multiply(multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8)))),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[384, 14])).
% 6.65/6.83 tff(386,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, inverse(sk_c7)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8))) = multiply(multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8)), multiply(sk_c4, sk_c8))),
% 6.65/6.83 inference(symmetry,[status(thm)],[385])).
% 6.65/6.83 tff(387,plain,
% 6.65/6.83 (multiply(sk_c4, multiply(sk_c8, sk_c4)) = multiply(sk_c4, identity)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[152])).
% 6.65/6.83 tff(388,plain,
% 6.65/6.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c4) = multiply(sk_c4, multiply(sk_c8, sk_c4)))),
% 6.65/6.83 inference(quant_inst,[status(thm)],[])).
% 6.65/6.83 tff(389,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, sk_c8), sk_c4) = multiply(sk_c4, multiply(sk_c8, sk_c4))),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[388, 14])).
% 6.65/6.83 tff(390,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, sk_c8), sk_c4) = multiply(sk_c4, identity)),
% 6.65/6.83 inference(transitivity,[status(thm)],[389, 387])).
% 6.65/6.83 tff(391,plain,
% 6.65/6.83 (multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), sk_c8) = multiply(multiply(sk_c4, identity), sk_c8)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[390])).
% 6.65/6.83 tff(392,plain,
% 6.65/6.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), sk_c8) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8)))),
% 6.65/6.83 inference(quant_inst,[status(thm)],[])).
% 6.65/6.83 tff(393,plain,
% 6.65/6.83 (multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), sk_c8) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8))),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[392, 14])).
% 6.65/6.83 tff(394,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8)) = multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), sk_c8)),
% 6.65/6.83 inference(symmetry,[status(thm)],[393])).
% 6.65/6.83 tff(395,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8)) = sk_c7),
% 6.65/6.83 inference(transitivity,[status(thm)],[394, 391, 253, 251, 316])).
% 6.65/6.83 tff(396,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, inverse(sk_c7)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8))) = multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[395])).
% 6.65/6.83 tff(397,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8)))),
% 6.65/6.83 inference(symmetry,[status(thm)],[396])).
% 6.65/6.83 tff(398,plain,
% 6.65/6.83 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 6.65/6.83 inference(transitivity,[status(thm)],[380, 259, 379, 278, 378, 275, 377, 397, 386, 383, 372, 370, 368])).
% 6.65/6.83 tff(399,plain,
% 6.65/6.83 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)) = multiply(inverse(sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[398])).
% 6.65/6.83 tff(400,plain,
% 6.65/6.83 (multiply(inverse(sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c5))),
% 6.65/6.83 inference(symmetry,[status(thm)],[399])).
% 6.65/6.83 tff(401,plain,
% 6.65/6.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c7), multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(inverse(sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))))),
% 6.65/6.83 inference(quant_inst,[status(thm)],[])).
% 6.65/6.83 tff(402,plain,
% 6.65/6.83 (multiply(multiply(inverse(sk_c7), sk_c7), multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(inverse(sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))))),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[401, 14])).
% 6.65/6.83 tff(403,plain,
% 6.65/6.83 (multiply(sk_c5, sk_c7) = multiply(multiply(identity, sk_c5), sk_c7)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[229])).
% 6.65/6.83 tff(404,plain,
% 6.65/6.83 (multiply(multiply(identity, sk_c5), sk_c7) = multiply(sk_c5, sk_c7)),
% 6.65/6.83 inference(symmetry,[status(thm)],[403])).
% 6.65/6.83 tff(405,plain,
% 6.65/6.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c5), sk_c7) = multiply(identity, multiply(sk_c5, sk_c7)))),
% 6.65/6.83 inference(quant_inst,[status(thm)],[])).
% 6.65/6.83 tff(406,plain,
% 6.65/6.83 (multiply(multiply(identity, sk_c5), sk_c7) = multiply(identity, multiply(sk_c5, sk_c7))),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[405, 14])).
% 6.65/6.83 tff(407,plain,
% 6.65/6.83 (multiply(identity, multiply(sk_c5, sk_c7)) = multiply(multiply(identity, sk_c5), sk_c7)),
% 6.65/6.83 inference(symmetry,[status(thm)],[406])).
% 6.65/6.83 tff(408,plain,
% 6.65/6.83 (multiply(identity, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, sk_c7))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[206])).
% 6.65/6.83 tff(409,plain,
% 6.65/6.83 (multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, sk_c7)) = multiply(identity, multiply(sk_c5, sk_c7))),
% 6.65/6.83 inference(symmetry,[status(thm)],[408])).
% 6.65/6.83 tff(410,plain,
% 6.65/6.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, sk_c7)) = multiply(sk_c8, multiply(sk_c4, multiply(sk_c5, sk_c7))))),
% 6.65/6.83 inference(quant_inst,[status(thm)],[])).
% 6.65/6.83 tff(411,plain,
% 6.65/6.83 (multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, sk_c7)) = multiply(sk_c8, multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[410, 14])).
% 6.65/6.83 tff(412,plain,
% 6.65/6.83 (multiply(sk_c8, multiply(sk_c4, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, sk_c7))),
% 6.65/6.83 inference(symmetry,[status(thm)],[411])).
% 6.65/6.83 tff(413,plain,
% 6.65/6.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 6.65/6.83 inference(quant_inst,[status(thm)],[])).
% 6.65/6.83 tff(414,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c7))),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[413, 14])).
% 6.65/6.83 tff(415,plain,
% 6.65/6.83 (multiply(sk_c4, multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c4, sk_c5), sk_c7)),
% 6.65/6.83 inference(symmetry,[status(thm)],[414])).
% 6.65/6.83 tff(416,plain,
% 6.65/6.83 (multiply(sk_c8, multiply(sk_c4, multiply(sk_c5, sk_c7))) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[415])).
% 6.65/6.83 tff(417,plain,
% 6.65/6.83 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(sk_c8, multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 6.65/6.83 inference(symmetry,[status(thm)],[416])).
% 6.65/6.83 tff(418,plain,
% 6.65/6.83 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(sk_c5, sk_c7)),
% 6.65/6.83 inference(transitivity,[status(thm)],[417, 412, 409, 407, 404])).
% 6.65/6.83 tff(419,plain,
% 6.65/6.83 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c8, sk_c4)),
% 6.65/6.83 inference(transitivity,[status(thm)],[216, 205, 204])).
% 6.65/6.83 tff(420,plain,
% 6.65/6.83 (multiply(multiply(inverse(sk_c7), sk_c7), multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, sk_c7))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[419, 418])).
% 6.65/6.83 tff(421,plain,
% 6.65/6.83 (multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, sk_c7)) = multiply(multiply(inverse(sk_c7), sk_c7), multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 6.65/6.83 inference(symmetry,[status(thm)],[420])).
% 6.65/6.83 tff(422,plain,
% 6.65/6.83 (multiply(sk_c7, sk_c8) = multiply(sk_c4, sk_c8)),
% 6.65/6.83 inference(transitivity,[status(thm)],[38, 299, 335, 297, 296, 331, 253, 251])).
% 6.65/6.83 tff(423,plain,
% 6.65/6.83 (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(multiply(sk_c4, sk_c8), sk_c4)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[422])).
% 6.65/6.83 tff(424,plain,
% 6.65/6.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(sk_c7, multiply(sk_c8, sk_c4)))),
% 6.65/6.83 inference(quant_inst,[status(thm)],[])).
% 6.65/6.83 tff(425,plain,
% 6.65/6.83 (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(sk_c7, multiply(sk_c8, sk_c4))),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[424, 14])).
% 6.65/6.83 tff(426,plain,
% 6.65/6.83 (multiply(sk_c7, multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c7, sk_c8), sk_c4)),
% 6.65/6.83 inference(symmetry,[status(thm)],[425])).
% 6.65/6.83 tff(427,plain,
% 6.65/6.83 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c8, sk_c4))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[206])).
% 6.65/6.83 tff(428,plain,
% 6.65/6.83 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[336])).
% 6.65/6.83 tff(429,plain,
% 6.65/6.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7), sk_c8) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c8)))),
% 6.65/6.83 inference(quant_inst,[status(thm)],[])).
% 6.65/6.83 tff(430,plain,
% 6.65/6.83 (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7), sk_c8) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c8))),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[429, 14])).
% 6.65/6.83 tff(431,plain,
% 6.65/6.83 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))),
% 6.65/6.83 inference(symmetry,[status(thm)],[217])).
% 6.65/6.83 tff(432,plain,
% 6.65/6.83 (multiply(sk_c7, identity) = multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7)),
% 6.65/6.83 inference(transitivity,[status(thm)],[431, 223])).
% 6.65/6.83 tff(433,plain,
% 6.65/6.83 (multiply(multiply(sk_c7, identity), sk_c8) = multiply(multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7), sk_c8)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[432])).
% 6.65/6.83 tff(434,plain,
% 6.65/6.83 (sk_c7 = multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))),
% 6.65/6.83 inference(transitivity,[status(thm)],[317, 250, 286, 330, 249, 220, 334, 433, 430, 428, 222, 217, 427, 426, 423, 389, 387, 275])).
% 6.65/6.83 tff(435,plain,
% 6.65/6.83 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[434])).
% 6.65/6.83 tff(436,plain,
% 6.65/6.83 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7)),
% 6.65/6.83 inference(symmetry,[status(thm)],[435])).
% 6.65/6.83 tff(437,plain,
% 6.65/6.83 (multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.83 inference(transitivity,[status(thm)],[254, 283, 279, 328, 260, 321, 231])).
% 6.65/6.83 tff(438,plain,
% 6.65/6.83 (multiply(sk_c8, multiply(sk_c4, sk_c5)) = identity),
% 6.65/6.83 inference(transitivity,[status(thm)],[363, 350, 347, 281])).
% 6.65/6.83 tff(439,plain,
% 6.65/6.83 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))) = multiply(identity, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[438, 437])).
% 6.65/6.83 tff(440,plain,
% 6.65/6.83 (multiply(identity, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)))),
% 6.65/6.83 inference(symmetry,[status(thm)],[439])).
% 6.65/6.83 tff(441,plain,
% 6.65/6.83 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.83 inference(quant_inst,[status(thm)],[])).
% 6.65/6.83 tff(442,plain,
% 6.65/6.83 (multiply(identity, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[441, 24])).
% 6.65/6.83 tff(443,plain,
% 6.65/6.83 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(identity, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.83 inference(symmetry,[status(thm)],[442])).
% 6.65/6.83 tff(444,plain,
% 6.65/6.83 (multiply(sk_c7, sk_c8) = sk_c6),
% 6.65/6.83 inference(transitivity,[status(thm)],[38, 299, 433, 430, 428, 222, 217, 427, 426, 423, 389, 387, 283, 279, 328, 260, 321, 231, 443, 440, 436, 365, 417, 412, 421, 402, 400, 244, 241, 210, 363, 350, 347, 281, 238, 345, 294, 291, 289, 155, 343, 196])).
% 6.65/6.83 tff(445,plain,
% 6.65/6.83 ($false),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[444, 342])).
% 6.65/6.83 tff(446,plain,((inverse(sk_c4) = sk_c7) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(inverse(sk_c5) = sk_c8))), inference(lemma,lemma(discharge,[]))).
% 6.65/6.83 tff(447,plain,
% 6.65/6.83 (inverse(sk_c4) = sk_c7),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[446, 161, 201, 266])).
% 6.65/6.83 tff(448,plain,
% 6.65/6.83 (multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7),
% 6.65/6.83 inference(modus_ponens,[status(thm)],[447, 315])).
% 6.65/6.83 tff(449,plain,
% 6.65/6.83 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6),
% 6.65/6.83 inference(transitivity,[status(thm)],[213, 201])).
% 6.65/6.83 tff(450,plain,
% 6.65/6.83 (multiply(sk_c4, sk_c8) = multiply(sk_c7, sk_c8)),
% 6.65/6.83 inference(transitivity,[status(thm)],[250, 286, 285, 249, 220, 218, 41, 39])).
% 6.65/6.83 tff(451,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c5))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[450])).
% 6.65/6.83 tff(452,plain,
% 6.65/6.83 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c5))),
% 6.65/6.83 inference(symmetry,[status(thm)],[451])).
% 6.65/6.83 tff(453,plain,
% 6.65/6.83 (multiply(sk_c4, identity) = multiply(sk_c4, sk_c5)),
% 6.65/6.83 inference(transitivity,[status(thm)],[283, 279, 276, 260, 257, 231, 360, 452, 354, 352])).
% 6.65/6.83 tff(454,plain,
% 6.65/6.83 (multiply(sk_c8, multiply(sk_c4, identity)) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[453])).
% 6.65/6.83 tff(455,plain,
% 6.65/6.83 (multiply(sk_c8, multiply(sk_c4, sk_c5)) = multiply(sk_c8, multiply(sk_c4, identity))),
% 6.65/6.83 inference(symmetry,[status(thm)],[454])).
% 6.65/6.83 tff(456,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[161])).
% 6.65/6.83 tff(457,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8))),
% 6.65/6.83 inference(symmetry,[status(thm)],[456])).
% 6.65/6.83 tff(458,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c4, identity), identity)),
% 6.65/6.83 inference(symmetry,[status(thm)],[276])).
% 6.65/6.83 tff(459,plain,
% 6.65/6.83 (multiply(sk_c7, sk_c5) = multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.83 inference(symmetry,[status(thm)],[257])).
% 6.65/6.83 tff(460,plain,
% 6.65/6.83 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8))),
% 6.65/6.83 inference(transitivity,[status(thm)],[459, 259, 458, 278, 378, 275, 377, 457])).
% 6.65/6.83 tff(461,plain,
% 6.65/6.83 (multiply(multiply(sk_c7, sk_c5), sk_c7) = multiply(multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8)), multiply(sk_c4, sk_c8))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[460, 162])).
% 6.65/6.83 tff(462,plain,
% 6.65/6.83 (multiply(multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c4, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, sk_c5), sk_c7)),
% 6.65/6.83 inference(symmetry,[status(thm)],[461])).
% 6.65/6.83 tff(463,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8)) = sk_c7),
% 6.65/6.83 inference(transitivity,[status(thm)],[394, 391, 253, 251, 161])).
% 6.65/6.83 tff(464,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, inverse(sk_c7)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8))) = multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[463])).
% 6.65/6.83 tff(465,plain,
% 6.65/6.83 (multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8)))),
% 6.65/6.83 inference(symmetry,[status(thm)],[464])).
% 6.65/6.83 tff(466,plain,
% 6.65/6.83 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 6.65/6.83 inference(transitivity,[status(thm)],[459, 259, 458, 278, 378, 275, 377, 465, 386, 462, 372, 370, 368])).
% 6.65/6.83 tff(467,plain,
% 6.65/6.83 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)) = multiply(inverse(sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[466])).
% 6.65/6.83 tff(468,plain,
% 6.65/6.83 (multiply(inverse(sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c5))),
% 6.65/6.83 inference(symmetry,[status(thm)],[467])).
% 6.65/6.83 tff(469,plain,
% 6.65/6.83 (multiply(sk_c7, sk_c8) = multiply(sk_c4, sk_c8)),
% 6.65/6.83 inference(transitivity,[status(thm)],[38, 299, 298, 297, 296, 295, 253, 251])).
% 6.65/6.83 tff(470,plain,
% 6.65/6.83 (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(multiply(sk_c4, sk_c8), sk_c4)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[469])).
% 6.65/6.83 tff(471,plain,
% 6.65/6.83 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[300])).
% 6.65/6.83 tff(472,plain,
% 6.65/6.83 (sk_c7 = multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))),
% 6.65/6.83 inference(transitivity,[status(thm)],[162, 250, 286, 285, 249, 220, 218, 433, 430, 471, 222, 217, 427, 426, 470, 389, 387, 275])).
% 6.65/6.83 tff(473,plain,
% 6.65/6.83 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[472])).
% 6.65/6.83 tff(474,plain,
% 6.65/6.83 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7)),
% 6.65/6.83 inference(symmetry,[status(thm)],[473])).
% 6.65/6.83 tff(475,plain,
% 6.65/6.83 (multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.83 inference(transitivity,[status(thm)],[254, 283, 279, 276, 260, 257, 231])).
% 6.65/6.83 tff(476,plain,
% 6.65/6.83 (multiply(sk_c8, multiply(sk_c4, sk_c5)) = identity),
% 6.65/6.83 inference(transitivity,[status(thm)],[455, 350, 347, 281])).
% 6.65/6.83 tff(477,plain,
% 6.65/6.83 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))) = multiply(identity, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[476, 475])).
% 6.65/6.83 tff(478,plain,
% 6.65/6.83 (multiply(identity, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)))),
% 6.65/6.83 inference(symmetry,[status(thm)],[477])).
% 6.65/6.83 tff(479,plain,
% 6.65/6.83 (multiply(sk_c7, sk_c8) = sk_c6),
% 6.65/6.83 inference(transitivity,[status(thm)],[38, 299, 433, 430, 471, 222, 217, 427, 426, 470, 389, 387, 283, 279, 276, 260, 257, 231, 443, 478, 474, 365, 417, 412, 421, 402, 468, 244, 241, 210, 455, 350, 347, 281, 238, 302, 294, 291, 289, 155, 288, 196])).
% 6.65/6.83 tff(480,plain,
% 6.65/6.83 (inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8),
% 6.65/6.83 inference(transitivity,[status(thm)],[261, 266])).
% 6.65/6.83 tff(481,plain,
% 6.65/6.83 (multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c5))),
% 6.65/6.83 inference(symmetry,[status(thm)],[354])).
% 6.65/6.83 tff(482,plain,
% 6.65/6.83 (sk_c7 = sk_c5),
% 6.65/6.83 inference(transitivity,[status(thm)],[162, 250, 286, 285, 249, 220, 218, 433, 430, 471, 222, 217, 427, 426, 470, 389, 387, 283, 279, 276, 260, 257, 231, 443, 478, 474, 365, 417, 412, 421, 402, 468, 244, 241, 208, 203])).
% 6.65/6.83 tff(483,plain,
% 6.65/6.83 (multiply(sk_c4, sk_c7) = multiply(sk_c4, sk_c5)),
% 6.65/6.83 inference(monotonicity,[status(thm)],[482])).
% 6.65/6.83 tff(484,plain,
% 6.65/6.83 (multiply(sk_c4, sk_c7) = sk_c8),
% 6.65/6.83 inference(transitivity,[status(thm)],[483, 351, 481, 451, 359, 443, 478, 474, 365, 417, 412, 421, 402, 468, 244, 241, 210, 455, 350, 347, 281, 238, 302, 294, 291, 26])).
% 6.65/6.83 tff(485,plain,
% 6.65/6.83 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6)))),
% 6.65/6.83 inference(rewrite,[status(thm)],[])).
% 6.65/6.83 tff(486,plain,
% 6.65/6.83 (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6)))),
% 6.65/6.83 inference(rewrite,[status(thm)],[])).
% 6.65/6.83 tff(487,plain,
% 6.65/6.83 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6))))),
% 6.65/6.83 inference(monotonicity,[status(thm)],[486])).
% 6.65/6.83 tff(488,plain,
% 6.65/6.83 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6)))),
% 6.65/6.83 inference(transitivity,[status(thm)],[487, 485])).
% 6.65/6.83 tff(489,plain,
% 6.65/6.83 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)))),
% 6.65/6.83 inference(quant_inst,[status(thm)],[])).
% 6.65/6.83 tff(490,plain,
% 6.65/6.83 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6))),
% 6.65/6.83 inference(modus_ponens,[status(thm)],[489, 488])).
% 6.65/6.83 tff(491,plain,
% 6.65/6.83 ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = sk_c6))),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[490, 196, 161, 149, 140])).
% 6.65/6.83 tff(492,plain,
% 6.65/6.83 (~(multiply(sk_c8, multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = sk_c7)),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[491, 447, 484, 480, 479, 449])).
% 6.65/6.83 tff(493,plain,
% 6.65/6.83 ($false),
% 6.65/6.83 inference(unit_resolution,[status(thm)],[492, 448])).
% 6.65/6.83 tff(494,plain,(inverse(sk_c2) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 6.65/6.84 tff(495,plain,
% 6.65/6.84 (sk_c8 = inverse(sk_c2)),
% 6.65/6.84 inference(symmetry,[status(thm)],[494])).
% 6.65/6.84 tff(496,plain,
% 6.65/6.84 (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[495])).
% 6.65/6.84 tff(497,plain,
% 6.65/6.84 (multiply(sk_c8, sk_c2) = identity),
% 6.65/6.84 inference(transitivity,[status(thm)],[496, 35])).
% 6.65/6.84 tff(498,plain,
% 6.65/6.84 (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[497])).
% 6.65/6.84 tff(499,plain,
% 6.65/6.84 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c8),
% 6.65/6.84 inference(transitivity,[status(thm)],[117, 498, 26])).
% 6.65/6.84 tff(500,plain,
% 6.65/6.84 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c8))) = multiply(sk_c2, sk_c8)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[499])).
% 6.65/6.84 tff(501,plain,
% 6.65/6.84 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c8)))),
% 6.65/6.84 inference(symmetry,[status(thm)],[500])).
% 6.65/6.84 tff(502,plain,
% 6.65/6.84 (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 6.65/6.84 inference(rewrite,[status(thm)],[])).
% 6.65/6.84 tff(503,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_22')).
% 6.65/6.84 tff(504,plain,
% 6.65/6.84 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[503, 502])).
% 6.65/6.84 tff(505,plain,
% 6.65/6.84 (multiply(sk_c2, sk_c8) = sk_c3),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[504, 1])).
% 6.65/6.84 tff(506,plain,
% 6.65/6.84 (sk_c3 = multiply(sk_c2, sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[505])).
% 6.65/6.84 tff(507,plain,
% 6.65/6.84 (sk_c3 = multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8))),
% 6.65/6.84 inference(transitivity,[status(thm)],[506, 501, 17])).
% 6.65/6.84 tff(508,plain,
% 6.65/6.84 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8)))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[507])).
% 6.65/6.84 tff(509,plain,
% 6.65/6.84 (multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8))) = multiply(sk_c8, sk_c3)),
% 6.65/6.84 inference(symmetry,[status(thm)],[508])).
% 6.65/6.84 tff(510,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, sk_c8)) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8))))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(511,plain,
% 6.65/6.84 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, sk_c8)) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8)))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[510, 14])).
% 6.65/6.84 tff(512,plain,
% 6.65/6.84 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, sk_c8)) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[499])).
% 6.65/6.84 tff(513,plain,
% 6.65/6.84 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, sk_c8))),
% 6.65/6.84 inference(symmetry,[status(thm)],[512])).
% 6.65/6.84 tff(514,plain,
% 6.65/6.84 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[498])).
% 6.65/6.84 tff(515,plain,
% 6.65/6.84 (sk_c8 = sk_c7),
% 6.65/6.84 inference(transitivity,[status(thm)],[37, 514, 59, 513, 511, 509, 7])).
% 6.65/6.84 tff(516,plain,
% 6.65/6.84 (multiply(sk_c8, multiply(multiply(sk_c4, inverse(sk_c7)), identity)) = multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[515])).
% 6.65/6.84 tff(517,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c4, inverse(sk_c7))), identity) = multiply(sk_c8, multiply(multiply(sk_c4, inverse(sk_c7)), identity)))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(518,plain,
% 6.65/6.84 (multiply(multiply(sk_c8, multiply(sk_c4, inverse(sk_c7))), identity) = multiply(sk_c8, multiply(multiply(sk_c4, inverse(sk_c7)), identity))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[517, 14])).
% 6.65/6.84 tff(519,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), inverse(sk_c7)) = multiply(sk_c8, multiply(sk_c4, inverse(sk_c7))))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(520,plain,
% 6.65/6.84 (multiply(multiply(sk_c8, sk_c4), inverse(sk_c7)) = multiply(sk_c8, multiply(sk_c4, inverse(sk_c7)))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[519, 14])).
% 6.65/6.84 tff(521,plain,
% 6.65/6.84 (multiply(identity, inverse(sk_c7)) = multiply(multiply(sk_c8, sk_c4), inverse(sk_c7))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[206])).
% 6.65/6.84 tff(522,plain,
% 6.65/6.84 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, inverse(sk_c7)) = inverse(sk_c7))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(523,plain,
% 6.65/6.84 (multiply(identity, inverse(sk_c7)) = inverse(sk_c7)),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[522, 24])).
% 6.65/6.84 tff(524,plain,
% 6.65/6.84 (inverse(sk_c7) = multiply(identity, inverse(sk_c7))),
% 6.65/6.84 inference(symmetry,[status(thm)],[523])).
% 6.65/6.84 tff(525,plain,
% 6.65/6.84 (inverse(sk_c7) = multiply(sk_c8, multiply(sk_c4, inverse(sk_c7)))),
% 6.65/6.84 inference(transitivity,[status(thm)],[524, 521, 520])).
% 6.65/6.84 tff(526,plain,
% 6.65/6.84 (multiply(inverse(sk_c7), identity) = multiply(multiply(sk_c8, multiply(sk_c4, inverse(sk_c7))), identity)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[525])).
% 6.65/6.84 tff(527,plain,
% 6.65/6.84 (multiply(inverse(sk_c7), multiply(sk_c8, sk_c4)) = multiply(inverse(sk_c7), identity)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[152])).
% 6.65/6.84 tff(528,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c8), sk_c4) = multiply(inverse(sk_c7), multiply(sk_c8, sk_c4)))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(529,plain,
% 6.65/6.84 (multiply(multiply(inverse(sk_c7), sk_c8), sk_c4) = multiply(inverse(sk_c7), multiply(sk_c8, sk_c4))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[528, 14])).
% 6.65/6.84 tff(530,plain,
% 6.65/6.84 (multiply(inverse(sk_c7), sk_c8) = multiply(inverse(sk_c7), sk_c7)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[515])).
% 6.65/6.84 tff(531,plain,
% 6.65/6.84 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[530])).
% 6.65/6.84 tff(532,plain,
% 6.65/6.84 (identity = multiply(inverse(sk_c7), sk_c8)),
% 6.65/6.84 inference(transitivity,[status(thm)],[238, 531])).
% 6.65/6.84 tff(533,plain,
% 6.65/6.84 (multiply(identity, sk_c4) = multiply(multiply(inverse(sk_c7), sk_c8), sk_c4)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[532])).
% 6.65/6.84 tff(534,plain,
% 6.65/6.84 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(535,plain,
% 6.65/6.84 (multiply(identity, sk_c4) = sk_c4),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[534, 24])).
% 6.65/6.84 tff(536,plain,
% 6.65/6.84 (sk_c4 = multiply(identity, sk_c4)),
% 6.65/6.84 inference(symmetry,[status(thm)],[535])).
% 6.65/6.84 tff(537,plain,
% 6.65/6.84 (sk_c4 = multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity))),
% 6.65/6.84 inference(transitivity,[status(thm)],[536, 533, 529, 527, 526, 518, 516])).
% 6.65/6.84 tff(538,plain,
% 6.65/6.84 (multiply(sk_c4, sk_c8) = multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c8)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[537])).
% 6.65/6.84 tff(539,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c8) = multiply(sk_c4, sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[538])).
% 6.65/6.84 tff(540,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c8) = multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c7)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[515])).
% 6.65/6.84 tff(541,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c7) = multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[540])).
% 6.65/6.84 tff(542,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity) = multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(543,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity) = multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[542, 14])).
% 6.65/6.84 tff(544,plain,
% 6.65/6.84 (multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)) = multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity)),
% 6.65/6.84 inference(symmetry,[status(thm)],[543])).
% 6.65/6.84 tff(545,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c7) = multiply(multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity), sk_c7)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[544])).
% 6.65/6.84 tff(546,plain,
% 6.65/6.84 (multiply(multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity), sk_c7) = multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c7)),
% 6.65/6.84 inference(symmetry,[status(thm)],[545])).
% 6.65/6.84 tff(547,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), multiply(identity, sk_c7)))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(548,plain,
% 6.65/6.84 (multiply(multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), multiply(identity, sk_c7))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[547, 14])).
% 6.65/6.84 tff(549,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), multiply(identity, sk_c7)) = multiply(multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity), sk_c7)),
% 6.65/6.84 inference(symmetry,[status(thm)],[548])).
% 6.65/6.84 tff(550,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), multiply(identity, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), sk_c7)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[95])).
% 6.65/6.84 tff(551,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), multiply(identity, sk_c7))),
% 6.65/6.84 inference(symmetry,[status(thm)],[550])).
% 6.65/6.84 tff(552,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7)))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(553,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[552, 14])).
% 6.65/6.84 tff(554,plain,
% 6.65/6.84 (multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), sk_c7)),
% 6.65/6.84 inference(symmetry,[status(thm)],[553])).
% 6.65/6.84 tff(555,plain,
% 6.65/6.84 (multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7)) = multiply(sk_c7, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[376])).
% 6.65/6.84 tff(556,plain,
% 6.65/6.84 (multiply(sk_c7, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))) = multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7))),
% 6.65/6.84 inference(symmetry,[status(thm)],[555])).
% 6.65/6.84 tff(557,plain,
% 6.65/6.84 (multiply(sk_c4, identity) = multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[238])).
% 6.65/6.84 tff(558,plain,
% 6.65/6.84 (multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)) = multiply(sk_c4, identity)),
% 6.65/6.84 inference(symmetry,[status(thm)],[557])).
% 6.65/6.84 tff(559,plain,
% 6.65/6.84 (multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8))) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, sk_c8))),
% 6.65/6.84 inference(symmetry,[status(thm)],[511])).
% 6.65/6.84 tff(560,plain,
% 6.65/6.84 (sk_c7 = multiply(sk_c8, sk_c3)),
% 6.65/6.84 inference(symmetry,[status(thm)],[7])).
% 6.65/6.84 tff(561,plain,
% 6.65/6.84 (sk_c7 = sk_c8),
% 6.65/6.84 inference(transitivity,[status(thm)],[560, 508, 559, 512, 117, 498, 26])).
% 6.65/6.84 tff(562,plain,
% 6.65/6.84 (multiply(sk_c7, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))) = multiply(sk_c8, multiply(sk_c4, identity))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[561, 558])).
% 6.65/6.84 tff(563,plain,
% 6.65/6.84 (multiply(sk_c8, multiply(sk_c4, identity)) = multiply(sk_c7, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)))),
% 6.65/6.84 inference(symmetry,[status(thm)],[562])).
% 6.65/6.84 tff(564,plain,
% 6.65/6.84 (multiply(multiply(sk_c8, sk_c4), identity) = multiply(identity, identity)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[152])).
% 6.65/6.84 tff(565,plain,
% 6.65/6.84 (multiply(identity, identity) = multiply(multiply(sk_c8, sk_c4), identity)),
% 6.65/6.84 inference(symmetry,[status(thm)],[564])).
% 6.65/6.84 tff(566,plain,
% 6.65/6.84 (identity = multiply(sk_c4, sk_c8)),
% 6.65/6.84 inference(transitivity,[status(thm)],[282, 565, 349, 563, 556, 554, 551, 549, 546, 541, 539])).
% 6.65/6.84 tff(567,plain,
% 6.65/6.84 (multiply(sk_c8, identity) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[566])).
% 6.65/6.84 tff(568,plain,
% 6.65/6.84 (multiply(sk_c7, identity) = multiply(sk_c8, identity)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[561])).
% 6.65/6.84 tff(569,plain,
% 6.65/6.84 (multiply(sk_c7, multiply(sk_c8, sk_c2)) = multiply(sk_c7, identity)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[497])).
% 6.65/6.84 tff(570,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c2) = multiply(sk_c7, multiply(sk_c8, sk_c2)))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(571,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, sk_c8), sk_c2) = multiply(sk_c7, multiply(sk_c8, sk_c2))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[570, 14])).
% 6.65/6.84 tff(572,plain,
% 6.65/6.84 (multiply(sk_c1, sk_c8) = multiply(sk_c1, sk_c7)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[515])).
% 6.65/6.84 tff(573,plain,
% 6.65/6.84 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[572])).
% 6.65/6.84 tff(574,plain,
% 6.65/6.84 (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 6.65/6.84 inference(rewrite,[status(thm)],[])).
% 6.65/6.84 tff(575,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 6.65/6.84 tff(576,plain,
% 6.65/6.84 ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[575, 574])).
% 6.65/6.84 tff(577,plain,
% 6.65/6.84 (multiply(sk_c1, sk_c7) = sk_c8),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[576, 1])).
% 6.65/6.84 tff(578,plain,
% 6.65/6.84 (sk_c8 = multiply(sk_c1, sk_c7)),
% 6.65/6.84 inference(symmetry,[status(thm)],[577])).
% 6.65/6.84 tff(579,plain,
% 6.65/6.84 (sk_c8 = multiply(sk_c1, sk_c8)),
% 6.65/6.84 inference(transitivity,[status(thm)],[578, 573])).
% 6.65/6.84 tff(580,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, identity), sk_c8) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c1, sk_c8))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[431, 579])).
% 6.65/6.84 tff(581,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c7, identity), sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[580])).
% 6.65/6.84 tff(582,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c1), sk_c8) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c1, sk_c8)))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(583,plain,
% 6.65/6.84 (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c1), sk_c8) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c1, sk_c8))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[582, 14])).
% 6.65/6.84 tff(584,plain,
% 6.65/6.84 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 6.65/6.84 inference(rewrite,[status(thm)],[])).
% 6.65/6.84 tff(585,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 6.65/6.84 tff(586,plain,
% 6.65/6.84 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[585, 584])).
% 6.65/6.84 tff(587,plain,
% 6.65/6.84 (inverse(sk_c1) = sk_c7),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[586, 1])).
% 6.65/6.84 tff(588,plain,
% 6.65/6.84 (sk_c7 = inverse(sk_c1)),
% 6.65/6.84 inference(symmetry,[status(thm)],[587])).
% 6.65/6.84 tff(589,plain,
% 6.65/6.84 (multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)) = inverse(sk_c1)),
% 6.65/6.84 inference(transitivity,[status(thm)],[217, 568, 567, 156, 153, 514, 59, 513, 511, 509, 7, 588])).
% 6.65/6.84 tff(590,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[589])).
% 6.65/6.84 tff(591,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c1) = identity),
% 6.65/6.84 inference(transitivity,[status(thm)],[590, 69])).
% 6.65/6.84 tff(592,plain,
% 6.65/6.84 (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[591])).
% 6.65/6.84 tff(593,plain,
% 6.65/6.84 (multiply(identity, sk_c8) = multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c1), sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[592])).
% 6.65/6.84 tff(594,plain,
% 6.65/6.84 (inverse(sk_c2) = multiply(sk_c7, sk_c8)),
% 6.65/6.84 inference(transitivity,[status(thm)],[494, 37, 593, 583, 581, 41, 39])).
% 6.65/6.84 tff(595,plain,
% 6.65/6.84 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c7, sk_c8), sk_c2)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[594])).
% 6.65/6.84 tff(596,plain,
% 6.65/6.84 (multiply(sk_c4, sk_c8) = sk_c7),
% 6.65/6.84 inference(transitivity,[status(thm)],[538, 540, 545, 548, 550, 553, 555, 562, 350, 564, 281, 67, 595, 571, 569, 568, 567, 156, 153, 514, 59, 513, 511, 509, 7])).
% 6.65/6.84 tff(597,plain,
% 6.65/6.84 ($false),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[1, 596])).
% 6.65/6.84 tff(598,plain,(multiply(sk_c4, sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 6.65/6.84 tff(599,plain,
% 6.65/6.84 (multiply(sk_c4, multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c4, sk_c8), sk_c4)),
% 6.65/6.84 inference(symmetry,[status(thm)],[389])).
% 6.65/6.84 tff(600,plain,
% 6.65/6.84 (multiply(sk_c4, identity) = multiply(sk_c4, multiply(sk_c8, sk_c4))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[206])).
% 6.65/6.84 tff(601,plain,
% 6.65/6.84 (multiply(sk_c4, identity) = multiply(multiply(sk_c4, sk_c8), sk_c4)),
% 6.65/6.84 inference(transitivity,[status(thm)],[600, 599])).
% 6.65/6.84 tff(602,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, identity), sk_c8) = multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), sk_c8)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[601])).
% 6.65/6.84 tff(603,plain,
% 6.65/6.84 (multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), sk_c8) = multiply(multiply(sk_c4, identity), sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[602])).
% 6.65/6.84 tff(604,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c4, sk_c8), sk_c7)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[598])).
% 6.65/6.84 tff(605,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, sk_c8), sk_c7) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8))),
% 6.65/6.84 inference(symmetry,[status(thm)],[604])).
% 6.65/6.84 tff(606,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c7) = multiply(sk_c4, multiply(sk_c8, sk_c7)))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(607,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, sk_c8), sk_c7) = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[606, 14])).
% 6.65/6.84 tff(608,plain,
% 6.65/6.84 (multiply(sk_c4, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c4, sk_c8), sk_c7)),
% 6.65/6.84 inference(symmetry,[status(thm)],[607])).
% 6.65/6.84 tff(609,plain,
% 6.65/6.84 (multiply(sk_c4, identity) = multiply(sk_c4, multiply(sk_c8, sk_c4))),
% 6.65/6.84 inference(symmetry,[status(thm)],[387])).
% 6.65/6.84 tff(610,plain,
% 6.65/6.84 (multiply(sk_c4, identity) = multiply(multiply(sk_c4, sk_c8), sk_c4)),
% 6.65/6.84 inference(transitivity,[status(thm)],[609, 599])).
% 6.65/6.84 tff(611,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, identity), sk_c8) = multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), sk_c8)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[610])).
% 6.65/6.84 tff(612,plain,
% 6.65/6.84 (multiply(multiply(multiply(sk_c4, sk_c8), sk_c4), sk_c8) = multiply(multiply(sk_c4, identity), sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[611])).
% 6.65/6.84 tff(613,assumption,(~(multiply(sk_c7, sk_c8) = sk_c6)), introduced(assumption)).
% 6.65/6.84 tff(614,plain,
% 6.65/6.84 (((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 6.65/6.84 inference(rewrite,[status(thm)],[])).
% 6.65/6.84 tff(615,axiom,((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 6.65/6.84 tff(616,plain,
% 6.65/6.84 ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[615, 614])).
% 6.65/6.84 tff(617,plain,
% 6.65/6.84 ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[616, 614])).
% 6.65/6.84 tff(618,plain,
% 6.65/6.84 ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[617, 614])).
% 6.65/6.84 tff(619,plain,
% 6.65/6.84 ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[618, 614])).
% 6.65/6.84 tff(620,plain,
% 6.65/6.84 ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[619, 614])).
% 6.65/6.84 tff(621,plain,
% 6.65/6.84 (multiply(sk_c4, sk_c8) = sk_c7),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[620, 613])).
% 6.65/6.84 tff(622,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c4, sk_c8), sk_c7)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[621])).
% 6.65/6.84 tff(623,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, sk_c8), sk_c7) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8))),
% 6.65/6.84 inference(symmetry,[status(thm)],[622])).
% 6.65/6.84 tff(624,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, identity), sk_c8) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[255])).
% 6.65/6.84 tff(625,plain,
% 6.65/6.84 (multiply(sk_c4, sk_c8) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8)),
% 6.65/6.84 inference(transitivity,[status(thm)],[250, 286, 624])).
% 6.65/6.84 tff(626,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, sk_c8), sk_c7) = multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), sk_c7)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[625])).
% 6.65/6.84 tff(627,plain,
% 6.65/6.84 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), sk_c7) = multiply(multiply(sk_c4, sk_c8), sk_c7)),
% 6.65/6.84 inference(symmetry,[status(thm)],[626])).
% 6.65/6.84 tff(628,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), sk_c7) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, sk_c7)))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(629,plain,
% 6.65/6.84 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), sk_c7) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, sk_c7))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[628, 14])).
% 6.65/6.84 tff(630,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), sk_c7)),
% 6.65/6.84 inference(symmetry,[status(thm)],[629])).
% 6.65/6.84 tff(631,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c6) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, sk_c7))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[197])).
% 6.65/6.84 tff(632,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c6) = sk_c7),
% 6.65/6.84 inference(transitivity,[status(thm)],[631, 630, 627, 623, 394, 612, 253, 251, 621])).
% 6.65/6.84 tff(633,plain,
% 6.65/6.84 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c6), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c7, sk_c5)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[632, 212])).
% 6.65/6.84 tff(634,plain,
% 6.65/6.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c6), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c6, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.65/6.84 inference(quant_inst,[status(thm)],[])).
% 6.65/6.84 tff(635,plain,
% 6.65/6.84 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c6), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c6, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[634, 14])).
% 6.65/6.84 tff(636,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c6, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c6), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.84 inference(symmetry,[status(thm)],[635])).
% 6.65/6.84 tff(637,plain,
% 6.65/6.84 (((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c5) = sk_c8)) <=> ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c5) = sk_c8))),
% 6.65/6.84 inference(rewrite,[status(thm)],[])).
% 6.65/6.84 tff(638,axiom,((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 6.65/6.84 tff(639,plain,
% 6.65/6.84 ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c5) = sk_c8)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[638, 637])).
% 6.65/6.84 tff(640,plain,
% 6.65/6.84 ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c5) = sk_c8)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[639, 637])).
% 6.65/6.84 tff(641,plain,
% 6.65/6.84 ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c5) = sk_c8)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[640, 637])).
% 6.65/6.84 tff(642,plain,
% 6.65/6.84 ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c5) = sk_c8)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[641, 637])).
% 6.65/6.84 tff(643,plain,
% 6.65/6.84 ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c5) = sk_c8)),
% 6.65/6.84 inference(modus_ponens,[status(thm)],[642, 637])).
% 6.65/6.84 tff(644,plain,
% 6.65/6.84 (inverse(sk_c5) = sk_c8),
% 6.65/6.84 inference(unit_resolution,[status(thm)],[643, 613])).
% 6.65/6.84 tff(645,plain,
% 6.65/6.84 (sk_c8 = inverse(sk_c5)),
% 6.65/6.84 inference(symmetry,[status(thm)],[644])).
% 6.65/6.84 tff(646,plain,
% 6.65/6.84 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[206])).
% 6.65/6.84 tff(647,plain,
% 6.65/6.84 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(identity, sk_c8)),
% 6.65/6.84 inference(symmetry,[status(thm)],[646])).
% 6.65/6.84 tff(648,plain,
% 6.65/6.84 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c7)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[621])).
% 6.65/6.84 tff(649,plain,
% 6.65/6.84 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 6.65/6.84 inference(symmetry,[status(thm)],[648])).
% 6.65/6.84 tff(650,plain,
% 6.65/6.84 (sk_c6 = inverse(multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.84 inference(transitivity,[status(thm)],[197, 649, 156, 647, 26, 645, 262])).
% 6.65/6.84 tff(651,plain,
% 6.65/6.84 (multiply(sk_c6, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[650])).
% 6.65/6.84 tff(652,plain,
% 6.65/6.84 (multiply(inverse(multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.84 inference(symmetry,[status(thm)],[651])).
% 6.65/6.84 tff(653,plain,
% 6.65/6.84 (identity = multiply(sk_c6, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.84 inference(transitivity,[status(thm)],[273, 652])).
% 6.65/6.84 tff(654,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, identity), identity) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c6, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.84 inference(monotonicity,[status(thm)],[275, 653])).
% 6.65/6.84 tff(655,plain,
% 6.65/6.84 (multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.84 inference(transitivity,[status(thm)],[254, 283, 279, 654, 636, 633, 231])).
% 6.65/6.84 tff(656,plain,
% 6.65/6.84 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c6)),
% 6.65/6.84 inference(monotonicity,[status(thm)],[655, 196])).
% 6.65/6.84 tff(657,plain,
% 6.65/6.84 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c6) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, sk_c7))),
% 6.65/6.84 inference(symmetry,[status(thm)],[656])).
% 6.65/6.85 tff(658,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c5) = multiply(multiply(sk_c8, sk_c4), sk_c5)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[419])).
% 6.65/6.85 tff(659,plain,
% 6.65/6.85 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)) = sk_c5),
% 6.65/6.85 inference(transitivity,[status(thm)],[244, 658, 208, 203])).
% 6.65/6.85 tff(660,plain,
% 6.65/6.85 (multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c7, sk_c5))) = multiply(sk_c7, sk_c5)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[659])).
% 6.65/6.85 tff(661,plain,
% 6.65/6.85 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)))),
% 6.65/6.85 inference(symmetry,[status(thm)],[660])).
% 6.65/6.85 tff(662,plain,
% 6.65/6.85 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.85 inference(transitivity,[status(thm)],[232, 661, 237, 234, 228, 225])).
% 6.65/6.85 tff(663,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c6) = multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c6)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[662])).
% 6.65/6.85 tff(664,plain,
% 6.65/6.85 (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c6) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c6)),
% 6.65/6.85 inference(symmetry,[status(thm)],[663])).
% 6.65/6.85 tff(665,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c6) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c6)))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(666,plain,
% 6.65/6.85 (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c6) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c6))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[665, 14])).
% 6.65/6.85 tff(667,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c6)) = multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c6)),
% 6.65/6.85 inference(symmetry,[status(thm)],[666])).
% 6.65/6.85 tff(668,plain,
% 6.65/6.85 (((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 6.65/6.85 inference(rewrite,[status(thm)],[])).
% 6.65/6.85 tff(669,axiom,((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 6.65/6.85 tff(670,plain,
% 6.65/6.85 ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 6.65/6.85 inference(modus_ponens,[status(thm)],[669, 668])).
% 6.65/6.85 tff(671,plain,
% 6.65/6.85 ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 6.65/6.85 inference(modus_ponens,[status(thm)],[670, 668])).
% 6.65/6.85 tff(672,plain,
% 6.65/6.85 ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 6.65/6.85 inference(modus_ponens,[status(thm)],[671, 668])).
% 6.65/6.85 tff(673,plain,
% 6.65/6.85 ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 6.65/6.85 inference(modus_ponens,[status(thm)],[672, 668])).
% 6.65/6.85 tff(674,plain,
% 6.65/6.85 ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 6.65/6.85 inference(modus_ponens,[status(thm)],[673, 668])).
% 6.65/6.85 tff(675,plain,
% 6.65/6.85 (multiply(sk_c5, sk_c8) = sk_c6),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[674, 613])).
% 6.65/6.85 tff(676,plain,
% 6.65/6.85 (sk_c6 = sk_c8),
% 6.65/6.85 inference(transitivity,[status(thm)],[197, 649, 156, 647, 26])).
% 6.65/6.85 tff(677,plain,
% 6.65/6.85 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c6) = multiply(sk_c5, sk_c8)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[212, 676])).
% 6.65/6.85 tff(678,plain,
% 6.65/6.85 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c6) = multiply(sk_c8, sk_c7)),
% 6.65/6.85 inference(transitivity,[status(thm)],[677, 675, 197])).
% 6.65/6.85 tff(679,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c6)) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, sk_c7))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[678])).
% 6.65/6.85 tff(680,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c6))),
% 6.65/6.85 inference(symmetry,[status(thm)],[679])).
% 6.65/6.85 tff(681,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8), sk_c7) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, sk_c7)))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(682,plain,
% 6.65/6.85 (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8), sk_c7) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, sk_c7))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[681, 14])).
% 6.65/6.85 tff(683,plain,
% 6.65/6.85 (multiply(sk_c7, multiply(identity, sk_c8)) = multiply(sk_c7, sk_c8)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[26])).
% 6.65/6.85 tff(684,plain,
% 6.65/6.85 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[238])).
% 6.65/6.85 tff(685,plain,
% 6.65/6.85 (multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)) = multiply(sk_c7, identity)),
% 6.65/6.85 inference(symmetry,[status(thm)],[684])).
% 6.65/6.85 tff(686,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8) = multiply(multiply(sk_c7, identity), sk_c8)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[685])).
% 6.65/6.85 tff(687,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8) = multiply(sk_c7, sk_c8)),
% 6.65/6.85 inference(transitivity,[status(thm)],[686, 41, 683])).
% 6.65/6.85 tff(688,plain,
% 6.65/6.85 (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8), sk_c7) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[687])).
% 6.65/6.85 tff(689,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8), sk_c7)),
% 6.65/6.85 inference(symmetry,[status(thm)],[688])).
% 6.65/6.85 tff(690,plain,
% 6.65/6.85 (sk_c7 = multiply(sk_c4, sk_c8)),
% 6.65/6.85 inference(symmetry,[status(thm)],[621])).
% 6.65/6.85 tff(691,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[690])).
% 6.65/6.85 tff(692,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 6.65/6.85 inference(symmetry,[status(thm)],[691])).
% 6.65/6.85 tff(693,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), sk_c8) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8)))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(694,plain,
% 6.65/6.85 (multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), sk_c8) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[693, 14])).
% 6.65/6.85 tff(695,plain,
% 6.65/6.85 (multiply(sk_c7, multiply(sk_c8, sk_c4)) = multiply(sk_c7, identity)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[152])).
% 6.65/6.85 tff(696,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(sk_c7, identity)),
% 6.65/6.85 inference(transitivity,[status(thm)],[425, 695])).
% 6.65/6.85 tff(697,plain,
% 6.65/6.85 (multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), sk_c8) = multiply(multiply(sk_c7, identity), sk_c8)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[696])).
% 6.65/6.85 tff(698,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, identity), sk_c8) = multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), sk_c8)),
% 6.65/6.85 inference(symmetry,[status(thm)],[697])).
% 6.65/6.85 tff(699,plain,
% 6.65/6.85 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(identity, sk_c8))),
% 6.65/6.85 inference(symmetry,[status(thm)],[683])).
% 6.65/6.85 tff(700,plain,
% 6.65/6.85 (multiply(sk_c7, sk_c8) = multiply(sk_c4, sk_c8)),
% 6.65/6.85 inference(transitivity,[status(thm)],[699, 299, 698, 694, 692, 689, 682, 680, 667, 664, 657, 630, 627, 623, 394, 612, 253, 251])).
% 6.65/6.85 tff(701,plain,
% 6.65/6.85 ((multiply(sk_c7, sk_c8) = sk_c6) <=> (multiply(sk_c4, sk_c8) = sk_c6)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[700])).
% 6.65/6.85 tff(702,plain,
% 6.65/6.85 ((multiply(sk_c4, sk_c8) = sk_c6) <=> (multiply(sk_c7, sk_c8) = sk_c6)),
% 6.65/6.85 inference(symmetry,[status(thm)],[701])).
% 6.65/6.85 tff(703,plain,
% 6.65/6.85 (sk_c6 = inverse(sk_c4)),
% 6.65/6.85 inference(transitivity,[status(thm)],[197, 649, 156, 647, 26, 150])).
% 6.65/6.85 tff(704,plain,
% 6.65/6.85 ((multiply(sk_c4, sk_c8) = sk_c6) <=> (sk_c7 = inverse(sk_c4))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[621, 703])).
% 6.65/6.85 tff(705,plain,
% 6.65/6.85 ((multiply(sk_c4, sk_c8) = sk_c6) <=> (inverse(sk_c4) = sk_c7)),
% 6.65/6.85 inference(transitivity,[status(thm)],[704, 310])).
% 6.65/6.85 tff(706,plain,
% 6.65/6.85 ((inverse(sk_c4) = sk_c7) <=> (multiply(sk_c4, sk_c8) = sk_c6)),
% 6.65/6.85 inference(symmetry,[status(thm)],[705])).
% 6.65/6.85 tff(707,plain,
% 6.65/6.85 (inverse(sk_c4) = sk_c7),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[446, 621, 675, 644])).
% 6.65/6.85 tff(708,plain,
% 6.65/6.85 (multiply(sk_c4, sk_c8) = sk_c6),
% 6.65/6.85 inference(modus_ponens,[status(thm)],[707, 706])).
% 6.65/6.85 tff(709,plain,
% 6.65/6.85 (multiply(sk_c7, sk_c8) = sk_c6),
% 6.65/6.85 inference(modus_ponens,[status(thm)],[708, 702])).
% 6.65/6.85 tff(710,plain,
% 6.65/6.85 ($false),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[613, 709])).
% 6.65/6.85 tff(711,plain,(multiply(sk_c7, sk_c8) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 6.65/6.85 tff(712,plain,
% 6.65/6.85 (multiply(sk_c7, identity) = multiply(multiply(sk_c7, sk_c8), sk_c4)),
% 6.65/6.85 inference(transitivity,[status(thm)],[427, 426])).
% 6.65/6.85 tff(713,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, identity), sk_c8) = multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), sk_c8)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[712])).
% 6.65/6.85 tff(714,plain,
% 6.65/6.85 (multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), sk_c8) = multiply(multiply(sk_c7, identity), sk_c8)),
% 6.65/6.85 inference(symmetry,[status(thm)],[713])).
% 6.65/6.85 tff(715,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8)) = multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), sk_c8)),
% 6.65/6.85 inference(symmetry,[status(thm)],[694])).
% 6.65/6.85 tff(716,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c7)),
% 6.65/6.85 inference(transitivity,[status(thm)],[715, 714, 41, 39, 711, 197])).
% 6.65/6.85 tff(717,plain,
% 6.65/6.85 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))) = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[716])).
% 6.65/6.85 tff(718,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(719,plain,
% 6.65/6.85 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8)))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[718, 14])).
% 6.65/6.85 tff(720,plain,
% 6.65/6.85 (multiply(sk_c7, sk_c8) = multiply(sk_c8, sk_c7)),
% 6.65/6.85 inference(transitivity,[status(thm)],[711, 197])).
% 6.65/6.85 tff(721,plain,
% 6.65/6.85 (multiply(sk_c4, multiply(sk_c7, sk_c8)) = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[720])).
% 6.65/6.85 tff(722,plain,
% 6.65/6.85 (multiply(sk_c4, multiply(sk_c8, sk_c7)) = multiply(sk_c4, multiply(sk_c7, sk_c8))),
% 6.65/6.85 inference(symmetry,[status(thm)],[721])).
% 6.65/6.85 tff(723,plain,
% 6.65/6.85 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[722])).
% 6.65/6.85 tff(724,plain,
% 6.65/6.85 (sk_c7 = multiply(sk_c4, sk_c8)),
% 6.65/6.85 inference(symmetry,[status(thm)],[598])).
% 6.65/6.85 tff(725,plain,
% 6.65/6.85 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[724])).
% 6.65/6.85 tff(726,plain,
% 6.65/6.85 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)) = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.65/6.85 inference(transitivity,[status(thm)],[723, 719, 717])).
% 6.65/6.85 tff(727,plain,
% 6.65/6.85 (multiply(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c7)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[726])).
% 6.65/6.85 tff(728,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, sk_c8), sk_c7)))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(729,plain,
% 6.65/6.85 (multiply(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, sk_c8), sk_c7))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[728, 14])).
% 6.65/6.85 tff(730,plain,
% 6.65/6.85 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, sk_c8), sk_c7)) = multiply(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)), sk_c7)),
% 6.65/6.85 inference(symmetry,[status(thm)],[729])).
% 6.65/6.85 tff(731,plain,
% 6.65/6.85 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, sk_c8), sk_c7))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[608])).
% 6.65/6.85 tff(732,plain,
% 6.65/6.85 (sk_c7 = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.65/6.85 inference(transitivity,[status(thm)],[724, 250, 286, 611, 393, 604, 607])).
% 6.65/6.85 tff(733,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), sk_c7), identity) = multiply(identity, identity)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[216])).
% 6.65/6.85 tff(734,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c7), identity) = multiply(inverse(sk_c7), multiply(sk_c7, identity)))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(735,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), sk_c7), identity) = multiply(inverse(sk_c7), multiply(sk_c7, identity))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[734, 14])).
% 6.65/6.85 tff(736,plain,
% 6.65/6.85 (multiply(inverse(sk_c7), multiply(sk_c7, identity)) = multiply(multiply(inverse(sk_c7), sk_c7), identity)),
% 6.65/6.85 inference(symmetry,[status(thm)],[735])).
% 6.65/6.85 tff(737,plain,
% 6.65/6.85 (multiply(inverse(sk_c7), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))) = multiply(inverse(sk_c7), multiply(sk_c7, identity))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[217])).
% 6.65/6.85 tff(738,plain,
% 6.65/6.85 (multiply(inverse(sk_c7), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))) = identity),
% 6.65/6.85 inference(transitivity,[status(thm)],[737, 736, 733, 281])).
% 6.65/6.85 tff(739,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(identity, sk_c7)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[738])).
% 6.65/6.85 tff(740,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(inverse(sk_c7), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(741,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(inverse(sk_c7), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[740, 14])).
% 6.65/6.85 tff(742,plain,
% 6.65/6.85 (multiply(inverse(sk_c7), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)) = multiply(multiply(inverse(sk_c7), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c7)),
% 6.65/6.85 inference(symmetry,[status(thm)],[741])).
% 6.65/6.85 tff(743,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7) = multiply(multiply(sk_c7, identity), sk_c7)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[217])).
% 6.65/6.85 tff(744,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, identity), sk_c7) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)),
% 6.65/6.85 inference(symmetry,[status(thm)],[743])).
% 6.65/6.85 tff(745,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), sk_c7) = multiply(sk_c7, multiply(identity, sk_c7)))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(746,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, identity), sk_c7) = multiply(sk_c7, multiply(identity, sk_c7))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[745, 14])).
% 6.65/6.85 tff(747,plain,
% 6.65/6.85 (multiply(sk_c7, multiply(identity, sk_c7)) = multiply(multiply(sk_c7, identity), sk_c7)),
% 6.65/6.85 inference(symmetry,[status(thm)],[746])).
% 6.65/6.85 tff(748,plain,
% 6.65/6.85 (multiply(sk_c7, multiply(identity, sk_c7)) = multiply(sk_c7, sk_c7)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[95])).
% 6.65/6.85 tff(749,plain,
% 6.65/6.85 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(identity, sk_c7))),
% 6.65/6.85 inference(symmetry,[status(thm)],[748])).
% 6.65/6.85 tff(750,plain,
% 6.65/6.85 (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[724, 724])).
% 6.65/6.85 tff(751,plain,
% 6.65/6.85 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c4, sk_c8)) = multiply(sk_c7, sk_c7)),
% 6.65/6.85 inference(symmetry,[status(thm)],[750])).
% 6.65/6.85 tff(752,plain,
% 6.65/6.85 (sk_c7 = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)),
% 6.65/6.85 inference(transitivity,[status(thm)],[724, 250, 286, 611, 393, 751, 749, 747, 744])).
% 6.65/6.85 tff(753,plain,
% 6.65/6.85 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[752])).
% 6.65/6.85 tff(754,plain,
% 6.65/6.85 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = identity)),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(755,plain,
% 6.65/6.85 (multiply(inverse(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = identity),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[754, 33])).
% 6.65/6.85 tff(756,plain,
% 6.65/6.85 (sk_c6 = multiply(sk_c7, sk_c8)),
% 6.65/6.85 inference(symmetry,[status(thm)],[711])).
% 6.65/6.85 tff(757,plain,
% 6.65/6.85 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c7)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[598])).
% 6.65/6.85 tff(758,plain,
% 6.65/6.85 (sk_c8 = multiply(sk_c7, sk_c8)),
% 6.65/6.85 inference(transitivity,[status(thm)],[37, 646, 155, 757, 196, 756])).
% 6.65/6.85 tff(759,plain,
% 6.65/6.85 (multiply(sk_c8, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c5))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[758])).
% 6.65/6.85 tff(760,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c5)) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.65/6.85 inference(symmetry,[status(thm)],[759])).
% 6.65/6.85 tff(761,plain,
% 6.65/6.85 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))) = sk_c5),
% 6.65/6.85 inference(transitivity,[status(thm)],[360, 760, 211, 208, 203])).
% 6.65/6.85 tff(762,plain,
% 6.65/6.85 (inverse(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = inverse(sk_c5)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[761])).
% 6.65/6.85 tff(763,plain,
% 6.65/6.85 (inverse(sk_c5) = inverse(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.85 inference(symmetry,[status(thm)],[762])).
% 6.65/6.85 tff(764,plain,
% 6.65/6.85 (sk_c8 = inverse(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.85 inference(transitivity,[status(thm)],[323, 763])).
% 6.65/6.85 tff(765,plain,
% 6.65/6.85 (multiply(sk_c8, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(inverse(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[764])).
% 6.65/6.85 tff(766,plain,
% 6.65/6.85 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c7, sk_c5)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[598, 212])).
% 6.65/6.85 tff(767,plain,
% 6.65/6.85 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.85 inference(transitivity,[status(thm)],[766, 231])).
% 6.65/6.85 tff(768,plain,
% 6.65/6.85 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[767])).
% 6.65/6.85 tff(769,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c4, sk_c8)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(770,plain,
% 6.65/6.85 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c8)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[769, 14])).
% 6.65/6.85 tff(771,plain,
% 6.65/6.85 (sk_c8 = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 6.65/6.85 inference(transitivity,[status(thm)],[37, 646, 155])).
% 6.65/6.85 tff(772,plain,
% 6.65/6.85 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c8)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[771])).
% 6.65/6.85 tff(773,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c8) = multiply(identity, sk_c8)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[216])).
% 6.65/6.85 tff(774,plain,
% 6.65/6.85 (multiply(multiply(identity, sk_c8), sk_c7) = multiply(sk_c8, sk_c7)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[26])).
% 6.65/6.85 tff(775,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c8), sk_c7) = multiply(identity, multiply(sk_c8, sk_c7)))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(776,plain,
% 6.65/6.85 (multiply(multiply(identity, sk_c8), sk_c7) = multiply(identity, multiply(sk_c8, sk_c7))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[775, 14])).
% 6.65/6.85 tff(777,plain,
% 6.65/6.85 (multiply(identity, multiply(sk_c8, sk_c7)) = multiply(multiply(identity, sk_c8), sk_c7)),
% 6.65/6.85 inference(symmetry,[status(thm)],[776])).
% 6.65/6.85 tff(778,plain,
% 6.65/6.85 (multiply(identity, multiply(sk_c7, sk_c8)) = multiply(identity, multiply(sk_c8, sk_c7))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[720])).
% 6.65/6.85 tff(779,plain,
% 6.65/6.85 (multiply(identity, multiply(sk_c7, sk_c8)) = multiply(sk_c7, sk_c8)),
% 6.65/6.85 inference(transitivity,[status(thm)],[778, 777, 774, 196, 756])).
% 6.65/6.85 tff(780,plain,
% 6.65/6.85 (multiply(inverse(sk_c7), multiply(identity, multiply(sk_c7, sk_c8))) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[779])).
% 6.65/6.85 tff(781,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), identity), multiply(sk_c7, sk_c8)) = multiply(inverse(sk_c7), multiply(identity, multiply(sk_c7, sk_c8))))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(782,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), identity), multiply(sk_c7, sk_c8)) = multiply(inverse(sk_c7), multiply(identity, multiply(sk_c7, sk_c8)))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[781, 14])).
% 6.65/6.85 tff(783,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), identity), multiply(sk_c7, sk_c8)) = sk_c8),
% 6.65/6.85 inference(transitivity,[status(thm)],[782, 780, 294, 773, 26])).
% 6.65/6.85 tff(784,plain,
% 6.65/6.85 (multiply(multiply(multiply(inverse(sk_c7), identity), multiply(sk_c7, sk_c8)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[783, 352])).
% 6.65/6.85 tff(785,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c7), identity), multiply(sk_c7, sk_c8)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(inverse(sk_c7), identity), multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(786,plain,
% 6.65/6.85 (multiply(multiply(multiply(inverse(sk_c7), identity), multiply(sk_c7, sk_c8)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(inverse(sk_c7), identity), multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[785, 14])).
% 6.65/6.85 tff(787,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), identity), multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(multiply(inverse(sk_c7), identity), multiply(sk_c7, sk_c8)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.85 inference(symmetry,[status(thm)],[786])).
% 6.65/6.85 tff(788,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c5))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[352])).
% 6.65/6.85 tff(789,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.85 inference(symmetry,[status(thm)],[788])).
% 6.65/6.85 tff(790,plain,
% 6.65/6.85 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.85 inference(transitivity,[status(thm)],[360, 789])).
% 6.65/6.85 tff(791,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), identity), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(inverse(sk_c7), identity), multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[790])).
% 6.65/6.85 tff(792,plain,
% 6.65/6.85 (multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)) = multiply(inverse(sk_c7), identity)),
% 6.65/6.85 inference(monotonicity,[status(thm)],[497])).
% 6.65/6.85 tff(793,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(inverse(sk_c7), identity), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[792])).
% 6.65/6.85 tff(794,plain,
% 6.65/6.85 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.65/6.85 inference(transitivity,[status(thm)],[793, 791, 787, 784])).
% 6.65/6.85 tff(795,plain,
% 6.65/6.85 (multiply(sk_c8, multiply(multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[794])).
% 6.65/6.85 tff(796,plain,
% 6.65/6.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.65/6.85 inference(quant_inst,[status(thm)],[])).
% 6.65/6.85 tff(797,plain,
% 6.65/6.85 (multiply(multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.65/6.85 inference(unit_resolution,[status(thm)],[796, 14])).
% 6.65/6.85 tff(798,plain,
% 6.65/6.85 (multiply(sk_c8, multiply(sk_c4, sk_c5)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.85 inference(transitivity,[status(thm)],[759, 359])).
% 6.65/6.85 tff(799,plain,
% 6.65/6.85 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 6.65/6.85 inference(symmetry,[status(thm)],[757])).
% 6.65/6.85 tff(800,plain,
% 6.65/6.85 (multiply(sk_c7, sk_c8) = sk_c8),
% 6.65/6.85 inference(transitivity,[status(thm)],[711, 197, 799, 156, 647, 26])).
% 6.65/6.85 tff(801,plain,
% 6.65/6.85 (multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))) = multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)))),
% 6.65/6.85 inference(monotonicity,[status(thm)],[800])).
% 6.65/6.85 tff(802,plain,
% 6.65/6.85 (multiply(sk_c8, sk_c7) = multiply(sk_c7, sk_c8)),
% 6.65/6.85 inference(transitivity,[status(thm)],[196, 756])).
% 6.65/6.85 tff(803,plain,
% 6.65/6.85 (multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))) = multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[802])).
% 6.65/6.86 tff(804,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))) = multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)))))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(805,plain,
% 6.65/6.86 (multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))) = multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[804, 14])).
% 6.65/6.86 tff(806,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)))) = multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)))),
% 6.65/6.86 inference(symmetry,[status(thm)],[805])).
% 6.65/6.86 tff(807,plain,
% 6.65/6.86 (multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))) = multiply(sk_c7, multiply(inverse(sk_c7), identity))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[792])).
% 6.65/6.86 tff(808,plain,
% 6.65/6.86 (multiply(sk_c7, multiply(inverse(sk_c7), identity)) = multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)))),
% 6.65/6.86 inference(symmetry,[status(thm)],[807])).
% 6.65/6.86 tff(809,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), identity))) = multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[808])).
% 6.65/6.86 tff(810,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), identity))) = multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)))),
% 6.65/6.86 inference(transitivity,[status(thm)],[809, 806, 803, 801])).
% 6.65/6.86 tff(811,plain,
% 6.65/6.86 (multiply(multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), identity))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[810, 798])).
% 6.65/6.86 tff(812,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), identity))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(sk_c7, multiply(inverse(sk_c7), identity)), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(813,plain,
% 6.65/6.86 (multiply(multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), identity))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(sk_c7, multiply(inverse(sk_c7), identity)), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[812, 14])).
% 6.65/6.86 tff(814,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(multiply(sk_c7, multiply(inverse(sk_c7), identity)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), identity))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.86 inference(symmetry,[status(thm)],[813])).
% 6.65/6.86 tff(815,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, inverse(sk_c7)), identity) = multiply(sk_c7, multiply(inverse(sk_c7), identity)))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(816,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, inverse(sk_c7)), identity) = multiply(sk_c7, multiply(inverse(sk_c7), identity))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[815, 14])).
% 6.65/6.86 tff(817,plain,
% 6.65/6.86 (multiply(sk_c7, multiply(inverse(sk_c7), identity)) = multiply(multiply(sk_c7, inverse(sk_c7)), identity)),
% 6.65/6.86 inference(symmetry,[status(thm)],[816])).
% 6.65/6.86 tff(818,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), identity)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(multiply(sk_c7, inverse(sk_c7)), identity), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[817])).
% 6.65/6.86 tff(819,plain,
% 6.65/6.86 (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), identity), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), identity)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.86 inference(symmetry,[status(thm)],[818])).
% 6.65/6.86 tff(820,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), identity), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(identity, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(821,plain,
% 6.65/6.86 (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), identity), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(identity, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[820, 14])).
% 6.65/6.86 tff(822,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(identity, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(multiply(sk_c7, inverse(sk_c7)), identity), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.86 inference(symmetry,[status(thm)],[821])).
% 6.65/6.86 tff(823,plain,
% 6.65/6.86 (multiply(identity, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c8, sk_c4), sk_c5)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[206, 212])).
% 6.65/6.86 tff(824,plain,
% 6.65/6.86 (multiply(identity, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.65/6.86 inference(transitivity,[status(thm)],[823, 210])).
% 6.65/6.86 tff(825,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(identity, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[824])).
% 6.65/6.86 tff(826,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(identity, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.86 inference(symmetry,[status(thm)],[825])).
% 6.65/6.86 tff(827,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), identity)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.86 inference(transitivity,[status(thm)],[826, 822, 819])).
% 6.65/6.86 tff(828,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(multiply(sk_c7, multiply(inverse(sk_c7), identity)), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[827])).
% 6.65/6.86 tff(829,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(830,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[829, 14])).
% 6.65/6.86 tff(831,plain,
% 6.65/6.86 (multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.86 inference(symmetry,[status(thm)],[830])).
% 6.65/6.86 tff(832,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[352])).
% 6.65/6.86 tff(833,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(sk_c4, sk_c5)) = multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.86 inference(symmetry,[status(thm)],[832])).
% 6.65/6.86 tff(834,plain,
% 6.65/6.86 (multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[833])).
% 6.65/6.86 tff(835,plain,
% 6.65/6.86 (multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.86 inference(symmetry,[status(thm)],[834])).
% 6.65/6.86 tff(836,plain,
% 6.65/6.86 (multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[835])).
% 6.65/6.86 tff(837,plain,
% 6.65/6.86 (multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.65/6.86 inference(transitivity,[status(thm)],[836, 831])).
% 6.65/6.86 tff(838,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))) = multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[837])).
% 6.65/6.86 tff(839,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(840,plain,
% 6.65/6.86 (multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[839, 14])).
% 6.65/6.86 tff(841,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[720, 834])).
% 6.65/6.86 tff(842,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.65/6.86 inference(transitivity,[status(thm)],[841, 840, 838, 828, 814, 811, 797, 795, 772, 770, 768, 765, 755, 238, 753, 742, 739, 95, 724, 250, 286, 611, 393, 604, 607])).
% 6.65/6.86 tff(843,plain,
% 6.65/6.86 (multiply(multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, sk_c7)))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[842, 732])).
% 6.65/6.86 tff(844,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7)))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(845,plain,
% 6.65/6.86 (multiply(multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[844, 14])).
% 6.65/6.86 tff(846,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7)),
% 6.65/6.86 inference(symmetry,[status(thm)],[845])).
% 6.65/6.86 tff(847,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7) = multiply(inverse(sk_c7), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7)))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(848,plain,
% 6.65/6.86 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7) = multiply(inverse(sk_c7), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[847, 14])).
% 6.65/6.86 tff(849,plain,
% 6.65/6.86 (multiply(inverse(sk_c7), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7)) = multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7)),
% 6.65/6.86 inference(symmetry,[status(thm)],[848])).
% 6.65/6.86 tff(850,plain,
% 6.65/6.86 (multiply(multiply(sk_c8, sk_c2), identity) = multiply(identity, identity)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[497])).
% 6.65/6.86 tff(851,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), identity) = multiply(sk_c8, multiply(sk_c2, identity)))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(852,plain,
% 6.65/6.86 (multiply(multiply(sk_c8, sk_c2), identity) = multiply(sk_c8, multiply(sk_c2, identity))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[851, 14])).
% 6.65/6.86 tff(853,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(sk_c2, identity)) = multiply(multiply(sk_c8, sk_c2), identity)),
% 6.65/6.86 inference(symmetry,[status(thm)],[852])).
% 6.65/6.86 tff(854,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(sk_c2, identity)) = identity),
% 6.65/6.86 inference(transitivity,[status(thm)],[853, 850, 281])).
% 6.65/6.86 tff(855,plain,
% 6.65/6.86 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, identity))) = multiply(sk_c7, identity)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[854])).
% 6.65/6.86 tff(856,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, identity)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, identity))))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(857,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, identity)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, identity)))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[856, 14])).
% 6.65/6.86 tff(858,plain,
% 6.65/6.86 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))) = multiply(sk_c2, identity)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[854])).
% 6.65/6.86 tff(859,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, identity))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[858])).
% 6.65/6.86 tff(860,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))),
% 6.65/6.86 inference(transitivity,[status(thm)],[859, 857, 855, 431])).
% 6.65/6.86 tff(861,plain,
% 6.65/6.86 (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[860])).
% 6.65/6.86 tff(862,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7)))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(863,plain,
% 6.65/6.86 (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[862, 14])).
% 6.65/6.86 tff(864,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7)),
% 6.65/6.86 inference(symmetry,[status(thm)],[863])).
% 6.65/6.86 tff(865,plain,
% 6.65/6.86 (multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7) = multiply(multiply(sk_c2, identity), sk_c7)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[858])).
% 6.65/6.86 tff(866,plain,
% 6.65/6.86 (multiply(multiply(sk_c2, identity), sk_c7) = multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7)),
% 6.65/6.86 inference(symmetry,[status(thm)],[865])).
% 6.65/6.86 tff(867,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, identity), sk_c7) = multiply(sk_c2, multiply(identity, sk_c7)))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(868,plain,
% 6.65/6.86 (multiply(multiply(sk_c2, identity), sk_c7) = multiply(sk_c2, multiply(identity, sk_c7))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[867, 14])).
% 6.65/6.86 tff(869,plain,
% 6.65/6.86 (multiply(sk_c2, multiply(identity, sk_c7)) = multiply(multiply(sk_c2, identity), sk_c7)),
% 6.65/6.86 inference(symmetry,[status(thm)],[868])).
% 6.65/6.86 tff(870,plain,
% 6.65/6.86 (multiply(sk_c2, multiply(identity, sk_c7)) = multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7)),
% 6.65/6.86 inference(transitivity,[status(thm)],[869, 866])).
% 6.65/6.86 tff(871,assumption,(~(multiply(sk_c5, sk_c8) = sk_c6)), introduced(assumption)).
% 6.65/6.86 tff(872,plain,
% 6.65/6.86 (((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 6.65/6.86 inference(rewrite,[status(thm)],[])).
% 6.65/6.86 tff(873,plain,
% 6.65/6.86 (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 6.65/6.86 inference(rewrite,[status(thm)],[])).
% 6.65/6.86 tff(874,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 6.65/6.86 tff(875,plain,
% 6.65/6.86 ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 6.65/6.86 inference(modus_ponens,[status(thm)],[874, 873])).
% 6.65/6.86 tff(876,plain,
% 6.65/6.86 ((multiply(sk_c5, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 6.65/6.86 inference(modus_ponens,[status(thm)],[875, 872])).
% 6.65/6.86 tff(877,plain,
% 6.65/6.86 (multiply(sk_c8, sk_c3) = sk_c7),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[876, 871])).
% 6.65/6.86 tff(878,plain,
% 6.65/6.86 (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 6.65/6.86 inference(rewrite,[status(thm)],[])).
% 6.65/6.86 tff(879,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_24')).
% 6.65/6.86 tff(880,plain,
% 6.65/6.86 ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 6.65/6.86 inference(modus_ponens,[status(thm)],[879, 878])).
% 6.65/6.86 tff(881,plain,
% 6.65/6.86 (multiply(sk_c2, sk_c8) = sk_c3),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[880, 871])).
% 6.65/6.86 tff(882,plain,
% 6.65/6.86 (sk_c3 = multiply(sk_c2, sk_c8)),
% 6.65/6.86 inference(symmetry,[status(thm)],[881])).
% 6.65/6.86 tff(883,plain,
% 6.65/6.86 (sk_c3 = multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8))),
% 6.65/6.86 inference(transitivity,[status(thm)],[882, 501, 17])).
% 6.65/6.86 tff(884,plain,
% 6.65/6.86 (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8)))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[883])).
% 6.65/6.86 tff(885,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c8))) = multiply(sk_c8, sk_c3)),
% 6.65/6.86 inference(symmetry,[status(thm)],[884])).
% 6.65/6.86 tff(886,plain,
% 6.65/6.86 (sk_c8 = sk_c7),
% 6.65/6.86 inference(transitivity,[status(thm)],[37, 514, 59, 513, 511, 885, 877])).
% 6.65/6.86 tff(887,plain,
% 6.65/6.86 (sk_c7 = multiply(sk_c8, sk_c3)),
% 6.65/6.86 inference(symmetry,[status(thm)],[877])).
% 6.65/6.86 tff(888,plain,
% 6.65/6.86 (sk_c7 = sk_c8),
% 6.65/6.86 inference(transitivity,[status(thm)],[887, 884, 559, 512, 117, 498, 26])).
% 6.65/6.86 tff(889,plain,
% 6.65/6.86 (multiply(sk_c4, sk_c7) = multiply(sk_c4, sk_c8)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[888])).
% 6.65/6.86 tff(890,plain,
% 6.65/6.86 ((multiply(sk_c4, sk_c7) = sk_c8) <=> (multiply(sk_c4, sk_c8) = sk_c7)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[889, 886])).
% 6.65/6.86 tff(891,plain,
% 6.65/6.86 ((~(multiply(sk_c4, sk_c7) = sk_c8)) <=> (~(multiply(sk_c4, sk_c8) = sk_c7))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[890])).
% 6.65/6.86 tff(892,plain,
% 6.65/6.86 (multiply(inverse(sk_c7), sk_c8) = multiply(inverse(sk_c7), sk_c7)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[886])).
% 6.65/6.86 tff(893,plain,
% 6.65/6.86 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), sk_c8)),
% 6.65/6.86 inference(symmetry,[status(thm)],[892])).
% 6.65/6.86 tff(894,plain,
% 6.65/6.86 (identity = multiply(inverse(sk_c7), sk_c8)),
% 6.65/6.86 inference(transitivity,[status(thm)],[238, 893])).
% 6.65/6.86 tff(895,plain,
% 6.65/6.86 (multiply(identity, sk_c4) = multiply(multiply(inverse(sk_c7), sk_c8), sk_c4)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[894])).
% 6.65/6.86 tff(896,plain,
% 6.65/6.86 (multiply(multiply(inverse(sk_c7), sk_c8), sk_c4) = multiply(identity, sk_c4)),
% 6.65/6.86 inference(symmetry,[status(thm)],[895])).
% 6.65/6.86 tff(897,plain,
% 6.65/6.86 (multiply(inverse(sk_c7), multiply(sk_c8, sk_c4)) = multiply(multiply(inverse(sk_c7), sk_c8), sk_c4)),
% 6.65/6.86 inference(symmetry,[status(thm)],[529])).
% 6.65/6.86 tff(898,plain,
% 6.65/6.86 (multiply(inverse(sk_c7), identity) = multiply(inverse(sk_c7), multiply(sk_c8, sk_c4))),
% 6.65/6.86 inference(symmetry,[status(thm)],[527])).
% 6.65/6.86 tff(899,plain,
% 6.65/6.86 (multiply(multiply(sk_c8, sk_c4), inverse(sk_c7)) = multiply(identity, inverse(sk_c7))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[152])).
% 6.65/6.86 tff(900,plain,
% 6.65/6.86 (multiply(identity, inverse(sk_c7)) = multiply(multiply(sk_c8, sk_c4), inverse(sk_c7))),
% 6.65/6.86 inference(symmetry,[status(thm)],[899])).
% 6.65/6.86 tff(901,plain,
% 6.65/6.86 (inverse(sk_c7) = multiply(sk_c8, multiply(sk_c4, inverse(sk_c7)))),
% 6.65/6.86 inference(transitivity,[status(thm)],[524, 900, 520])).
% 6.65/6.86 tff(902,plain,
% 6.65/6.86 (multiply(inverse(sk_c7), identity) = multiply(multiply(sk_c8, multiply(sk_c4, inverse(sk_c7))), identity)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[901])).
% 6.65/6.86 tff(903,plain,
% 6.65/6.86 (multiply(multiply(sk_c8, multiply(sk_c4, inverse(sk_c7))), identity) = multiply(inverse(sk_c7), identity)),
% 6.65/6.86 inference(symmetry,[status(thm)],[902])).
% 6.65/6.86 tff(904,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(multiply(sk_c4, inverse(sk_c7)), identity)) = multiply(multiply(sk_c8, multiply(sk_c4, inverse(sk_c7))), identity)),
% 6.65/6.86 inference(symmetry,[status(thm)],[518])).
% 6.65/6.86 tff(905,plain,
% 6.65/6.86 (multiply(sk_c1, sk_c8) = multiply(sk_c1, sk_c7)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[886])).
% 6.65/6.86 tff(906,plain,
% 6.65/6.86 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c8)),
% 6.65/6.86 inference(symmetry,[status(thm)],[905])).
% 6.65/6.86 tff(907,plain,
% 6.65/6.86 (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 6.65/6.86 inference(rewrite,[status(thm)],[])).
% 6.65/6.86 tff(908,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 6.65/6.86 tff(909,plain,
% 6.65/6.86 ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 6.65/6.86 inference(modus_ponens,[status(thm)],[908, 907])).
% 6.65/6.86 tff(910,plain,
% 6.65/6.86 (multiply(sk_c1, sk_c7) = sk_c8),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[909, 871])).
% 6.65/6.86 tff(911,plain,
% 6.65/6.86 (sk_c8 = multiply(sk_c1, sk_c7)),
% 6.65/6.86 inference(symmetry,[status(thm)],[910])).
% 6.65/6.86 tff(912,plain,
% 6.65/6.86 (sk_c8 = multiply(sk_c1, sk_c8)),
% 6.65/6.86 inference(transitivity,[status(thm)],[911, 906])).
% 6.65/6.86 tff(913,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, identity), sk_c8) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c1, sk_c8))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[431, 912])).
% 6.65/6.86 tff(914,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c7, identity), sk_c8)),
% 6.65/6.86 inference(symmetry,[status(thm)],[913])).
% 6.65/6.86 tff(915,plain,
% 6.65/6.86 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 6.65/6.86 inference(rewrite,[status(thm)],[])).
% 6.65/6.86 tff(916,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 6.65/6.86 tff(917,plain,
% 6.65/6.86 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 6.65/6.86 inference(modus_ponens,[status(thm)],[916, 915])).
% 6.65/6.86 tff(918,plain,
% 6.65/6.86 (inverse(sk_c1) = sk_c7),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[917, 871])).
% 6.65/6.86 tff(919,plain,
% 6.65/6.86 (sk_c7 = inverse(sk_c1)),
% 6.65/6.86 inference(symmetry,[status(thm)],[918])).
% 6.65/6.86 tff(920,plain,
% 6.65/6.86 (multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)) = multiply(sk_c8, multiply(multiply(sk_c4, inverse(sk_c7)), identity))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[888])).
% 6.65/6.86 tff(921,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(multiply(sk_c4, inverse(sk_c7)), identity)) = multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity))),
% 6.65/6.86 inference(symmetry,[status(thm)],[920])).
% 6.65/6.86 tff(922,plain,
% 6.65/6.86 (sk_c4 = multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity))),
% 6.65/6.86 inference(transitivity,[status(thm)],[536, 895, 529, 527, 902, 518, 921])).
% 6.65/6.86 tff(923,plain,
% 6.65/6.86 (multiply(sk_c4, sk_c8) = multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c8)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[922])).
% 6.65/6.86 tff(924,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c8) = multiply(sk_c4, sk_c8)),
% 6.65/6.86 inference(symmetry,[status(thm)],[923])).
% 6.65/6.86 tff(925,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c8) = multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c7)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[886])).
% 6.65/6.86 tff(926,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c7) = multiply(multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)), sk_c8)),
% 6.65/6.86 inference(symmetry,[status(thm)],[925])).
% 6.65/6.86 tff(927,plain,
% 6.65/6.86 (multiply(sk_c7, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))) = multiply(sk_c8, multiply(sk_c4, identity))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[888, 558])).
% 6.65/6.86 tff(928,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(sk_c4, identity)) = multiply(sk_c7, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)))),
% 6.65/6.86 inference(symmetry,[status(thm)],[927])).
% 6.65/6.86 tff(929,plain,
% 6.65/6.86 (identity = multiply(sk_c4, sk_c8)),
% 6.65/6.86 inference(transitivity,[status(thm)],[282, 565, 349, 928, 556, 554, 551, 549, 546, 926, 924])).
% 6.65/6.86 tff(930,plain,
% 6.65/6.86 (multiply(sk_c8, identity) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[929])).
% 6.65/6.86 tff(931,plain,
% 6.65/6.86 (multiply(sk_c7, identity) = multiply(sk_c8, identity)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[888])).
% 6.65/6.86 tff(932,plain,
% 6.65/6.86 (multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)) = inverse(sk_c1)),
% 6.65/6.86 inference(transitivity,[status(thm)],[217, 931, 930, 156, 153, 514, 59, 513, 511, 885, 877, 919])).
% 6.65/6.86 tff(933,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[932])).
% 6.65/6.86 tff(934,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c1) = identity),
% 6.65/6.86 inference(transitivity,[status(thm)],[933, 69])).
% 6.65/6.86 tff(935,plain,
% 6.65/6.86 (multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 6.65/6.86 inference(monotonicity,[status(thm)],[934])).
% 6.65/6.86 tff(936,plain,
% 6.65/6.86 (multiply(identity, sk_c8) = multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c1), sk_c8)),
% 6.65/6.86 inference(symmetry,[status(thm)],[935])).
% 6.65/6.86 tff(937,plain,
% 6.65/6.86 (sk_c8 = multiply(sk_c7, sk_c8)),
% 6.65/6.86 inference(transitivity,[status(thm)],[37, 936, 583, 914, 41, 39])).
% 6.65/6.86 tff(938,plain,
% 6.65/6.86 (multiply(sk_c8, multiply(multiply(sk_c4, inverse(sk_c7)), identity)) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, inverse(sk_c7)), identity))),
% 6.65/6.86 inference(monotonicity,[status(thm)],[937])).
% 6.65/6.86 tff(939,plain,
% 6.65/6.86 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, inverse(sk_c7)), identity)) = multiply(sk_c8, multiply(multiply(sk_c4, inverse(sk_c7)), identity))),
% 6.65/6.86 inference(symmetry,[status(thm)],[938])).
% 6.65/6.86 tff(940,plain,
% 6.65/6.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7))), identity) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, inverse(sk_c7)), identity)))),
% 6.65/6.86 inference(quant_inst,[status(thm)],[])).
% 6.65/6.86 tff(941,plain,
% 6.65/6.86 (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7))), identity) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, inverse(sk_c7)), identity))),
% 6.65/6.86 inference(unit_resolution,[status(thm)],[940, 14])).
% 6.65/6.86 tff(942,plain,
% 6.65/6.87 (multiply(sk_c7, inverse(sk_c7)) = multiply(sk_c7, multiply(identity, inverse(sk_c7)))),
% 6.65/6.87 inference(monotonicity,[status(thm)],[524])).
% 6.65/6.87 tff(943,plain,
% 6.65/6.87 (multiply(sk_c7, multiply(identity, inverse(sk_c7))) = multiply(sk_c7, inverse(sk_c7))),
% 6.65/6.87 inference(symmetry,[status(thm)],[942])).
% 6.65/6.87 tff(944,plain,
% 6.65/6.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), inverse(sk_c7)) = multiply(sk_c7, multiply(identity, inverse(sk_c7))))),
% 6.65/6.87 inference(quant_inst,[status(thm)],[])).
% 6.65/6.87 tff(945,plain,
% 6.65/6.87 (multiply(multiply(sk_c7, identity), inverse(sk_c7)) = multiply(sk_c7, multiply(identity, inverse(sk_c7)))),
% 6.65/6.87 inference(unit_resolution,[status(thm)],[944, 14])).
% 6.65/6.87 tff(946,plain,
% 6.65/6.87 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c8, sk_c4))),
% 6.65/6.87 inference(symmetry,[status(thm)],[695])).
% 6.65/6.87 tff(947,plain,
% 6.65/6.87 (multiply(sk_c7, identity) = multiply(multiply(sk_c7, sk_c8), sk_c4)),
% 6.65/6.87 inference(transitivity,[status(thm)],[946, 426])).
% 6.65/6.87 tff(948,plain,
% 6.65/6.87 (multiply(multiply(sk_c7, identity), inverse(sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), inverse(sk_c7))),
% 6.65/6.87 inference(monotonicity,[status(thm)],[947])).
% 6.65/6.87 tff(949,plain,
% 6.65/6.87 (multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), inverse(sk_c7)) = multiply(multiply(sk_c7, identity), inverse(sk_c7))),
% 6.65/6.87 inference(symmetry,[status(thm)],[948])).
% 6.65/6.87 tff(950,plain,
% 6.65/6.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), inverse(sk_c7)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7))))),
% 6.65/6.87 inference(quant_inst,[status(thm)],[])).
% 6.65/6.87 tff(951,plain,
% 6.65/6.87 (multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), inverse(sk_c7)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7)))),
% 6.65/6.87 inference(unit_resolution,[status(thm)],[950, 14])).
% 6.65/6.87 tff(952,plain,
% 6.65/6.87 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), inverse(sk_c7))),
% 6.65/6.87 inference(symmetry,[status(thm)],[951])).
% 6.65/6.87 tff(953,plain,
% 6.65/6.87 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7))) = multiply(sk_c7, inverse(sk_c7))),
% 6.65/6.87 inference(transitivity,[status(thm)],[952, 949, 945, 943])).
% 6.65/6.87 tff(954,plain,
% 6.65/6.87 (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7))), identity) = multiply(multiply(sk_c7, inverse(sk_c7)), identity)),
% 6.65/6.87 inference(monotonicity,[status(thm)],[953])).
% 6.65/6.87 tff(955,plain,
% 6.65/6.87 (multiply(multiply(sk_c7, inverse(sk_c7)), identity) = multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7))), identity)),
% 6.65/6.87 inference(symmetry,[status(thm)],[954])).
% 6.65/6.87 tff(956,plain,
% 6.65/6.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), multiply(sk_c4, inverse(sk_c7))) = multiply(sk_c8, multiply(sk_c7, multiply(sk_c4, inverse(sk_c7)))))),
% 6.65/6.87 inference(quant_inst,[status(thm)],[])).
% 6.65/6.87 tff(957,plain,
% 6.65/6.87 (multiply(multiply(sk_c8, sk_c7), multiply(sk_c4, inverse(sk_c7))) = multiply(sk_c8, multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))))),
% 6.65/6.87 inference(unit_resolution,[status(thm)],[956, 14])).
% 6.65/6.87 tff(958,plain,
% 6.65/6.87 (multiply(multiply(sk_c8, sk_c7), multiply(sk_c4, inverse(sk_c7))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7)))),
% 6.65/6.87 inference(monotonicity,[status(thm)],[802])).
% 6.65/6.87 tff(959,plain,
% 6.65/6.87 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7))) = multiply(multiply(sk_c8, sk_c7), multiply(sk_c4, inverse(sk_c7)))),
% 6.65/6.87 inference(symmetry,[status(thm)],[958])).
% 6.65/6.87 tff(960,plain,
% 6.65/6.87 (multiply(sk_c7, multiply(identity, inverse(sk_c7))) = multiply(multiply(sk_c7, identity), inverse(sk_c7))),
% 6.65/6.87 inference(symmetry,[status(thm)],[945])).
% 6.65/6.87 tff(961,plain,
% 6.65/6.87 (multiply(sk_c7, inverse(sk_c7)) = multiply(sk_c8, multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))))),
% 6.65/6.87 inference(transitivity,[status(thm)],[942, 960, 948, 951, 959, 957])).
% 6.65/6.87 tff(962,plain,
% 6.65/6.87 (multiply(multiply(sk_c7, inverse(sk_c7)), identity) = multiply(multiply(sk_c8, multiply(sk_c7, multiply(sk_c4, inverse(sk_c7)))), identity)),
% 6.65/6.87 inference(monotonicity,[status(thm)],[961])).
% 6.65/6.87 tff(963,plain,
% 6.65/6.87 (multiply(multiply(sk_c8, multiply(sk_c7, multiply(sk_c4, inverse(sk_c7)))), identity) = multiply(multiply(sk_c7, inverse(sk_c7)), identity)),
% 6.65/6.87 inference(symmetry,[status(thm)],[962])).
% 6.65/6.87 tff(964,plain,
% 6.65/6.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c7, multiply(sk_c4, inverse(sk_c7)))), identity) = multiply(sk_c8, multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity)))),
% 6.65/6.87 inference(quant_inst,[status(thm)],[])).
% 6.65/6.87 tff(965,plain,
% 6.65/6.87 (multiply(multiply(sk_c8, multiply(sk_c7, multiply(sk_c4, inverse(sk_c7)))), identity) = multiply(sk_c8, multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity))),
% 6.65/6.87 inference(unit_resolution,[status(thm)],[964, 14])).
% 6.65/6.87 tff(966,plain,
% 6.65/6.87 (multiply(sk_c8, multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity)) = multiply(multiply(sk_c8, multiply(sk_c7, multiply(sk_c4, inverse(sk_c7)))), identity)),
% 6.65/6.87 inference(symmetry,[status(thm)],[965])).
% 6.65/6.87 tff(967,plain,
% 6.65/6.87 (multiply(sk_c8, multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity)) = multiply(sk_c8, multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)))),
% 6.65/6.87 inference(monotonicity,[status(thm)],[543])).
% 6.65/6.87 tff(968,plain,
% 6.65/6.87 (multiply(sk_c8, multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity))) = multiply(sk_c8, multiply(multiply(sk_c7, multiply(sk_c4, inverse(sk_c7))), identity))),
% 6.65/6.87 inference(symmetry,[status(thm)],[967])).
% 6.65/6.87 tff(969,plain,
% 6.65/6.87 (multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)) = sk_c4),
% 6.65/6.87 inference(transitivity,[status(thm)],[920, 904, 903, 898, 897, 896, 535])).
% 6.65/6.87 tff(970,plain,
% 6.65/6.87 (multiply(sk_c8, multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity))) = multiply(inverse(sk_c4), sk_c4)),
% 6.65/6.87 inference(monotonicity,[status(thm)],[150, 969])).
% 6.65/6.87 tff(971,plain,
% 6.65/6.87 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, multiply(sk_c7, multiply(multiply(sk_c4, inverse(sk_c7)), identity)))),
% 6.65/6.87 inference(symmetry,[status(thm)],[970])).
% 6.65/6.87 tff(972,plain,
% 6.65/6.87 (inverse(sk_c2) = multiply(sk_c7, sk_c8)),
% 6.65/6.87 inference(transitivity,[status(thm)],[494, 37, 936, 583, 914, 41, 39])).
% 6.65/6.87 tff(973,plain,
% 6.65/6.87 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c7, sk_c8), sk_c2)),
% 6.65/6.87 inference(monotonicity,[status(thm)],[972])).
% 6.65/6.87 tff(974,plain,
% 6.65/6.87 (multiply(multiply(sk_c7, sk_c8), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 6.65/6.87 inference(symmetry,[status(thm)],[973])).
% 6.65/6.87 tff(975,plain,
% 6.65/6.87 (multiply(sk_c7, multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c7, sk_c8), sk_c2)),
% 6.65/6.87 inference(symmetry,[status(thm)],[571])).
% 6.65/6.87 tff(976,plain,
% 6.65/6.87 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c8, sk_c2))),
% 6.65/6.87 inference(symmetry,[status(thm)],[569])).
% 6.65/6.87 tff(977,plain,
% 6.65/6.87 (multiply(sk_c8, identity) = multiply(sk_c7, identity)),
% 6.65/6.87 inference(symmetry,[status(thm)],[931])).
% 6.65/6.87 tff(978,plain,
% 6.65/6.87 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, identity)),
% 6.65/6.87 inference(symmetry,[status(thm)],[930])).
% 6.65/6.87 tff(979,plain,
% 6.65/6.87 (sk_c7 = sk_c4),
% 6.65/6.87 inference(transitivity,[status(thm)],[887, 884, 559, 512, 117, 498, 289, 155, 978, 977, 976, 975, 974, 35, 205, 971, 968, 966, 963, 955, 941, 939, 904, 903, 898, 897, 896, 535])).
% 6.65/6.87 tff(980,plain,
% 6.65/6.87 (inverse(sk_c7) = inverse(sk_c4)),
% 6.65/6.87 inference(monotonicity,[status(thm)],[979])).
% 6.65/6.87 tff(981,plain,
% 6.65/6.87 (inverse(sk_c7) = sk_c8),
% 6.65/6.87 inference(transitivity,[status(thm)],[980, 149])).
% 6.65/6.87 tff(982,plain,
% 6.65/6.87 (inverse(sk_c4) = sk_c7),
% 6.65/6.87 inference(transitivity,[status(thm)],[149, 37, 514, 59, 513, 511, 885, 877])).
% 6.65/6.87 tff(983,plain,
% 6.65/6.87 (multiply(sk_c4, sk_c8) = sk_c7),
% 6.65/6.87 inference(transitivity,[status(thm)],[923, 925, 545, 548, 550, 553, 555, 927, 350, 564, 281, 67, 973, 571, 569, 931, 930, 156, 153, 514, 59, 513, 511, 885, 877])).
% 6.65/6.87 tff(984,plain,
% 6.65/6.87 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c1, sk_c8)) = multiply(multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c1), sk_c8)),
% 6.65/6.87 inference(symmetry,[status(thm)],[583])).
% 6.65/6.87 tff(985,plain,
% 6.65/6.87 (multiply(sk_c8, sk_c8) = multiply(sk_c7, sk_c8)),
% 6.65/6.87 inference(monotonicity,[status(thm)],[886])).
% 6.65/6.87 tff(986,plain,
% 6.65/6.87 (multiply(sk_c7, sk_c8) = sk_c8),
% 6.65/6.87 inference(transitivity,[status(thm)],[38, 299, 913, 984, 935, 26])).
% 6.65/6.87 tff(987,plain,
% 6.65/6.87 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(sk_c8, sk_c8)),
% 6.65/6.87 inference(monotonicity,[status(thm)],[986])).
% 6.65/6.87 tff(988,plain,
% 6.65/6.87 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7),
% 6.65/6.87 inference(transitivity,[status(thm)],[987, 985, 38, 299, 913, 984, 935, 514, 59, 513, 511, 885, 877])).
% 6.65/6.87 tff(989,plain,
% 6.65/6.87 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)))),
% 6.65/6.87 inference(rewrite,[status(thm)],[])).
% 6.65/6.87 tff(990,plain,
% 6.65/6.87 (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)))),
% 6.65/6.87 inference(rewrite,[status(thm)],[])).
% 6.65/6.87 tff(991,plain,
% 6.65/6.87 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8))))),
% 6.65/6.87 inference(monotonicity,[status(thm)],[990])).
% 6.65/6.87 tff(992,plain,
% 6.65/6.87 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)))),
% 6.65/6.87 inference(transitivity,[status(thm)],[991, 989])).
% 6.65/6.87 tff(993,plain,
% 6.65/6.87 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)))),
% 6.65/6.87 inference(quant_inst,[status(thm)],[])).
% 6.65/6.87 tff(994,plain,
% 6.65/6.87 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8))),
% 6.65/6.87 inference(modus_ponens,[status(thm)],[993, 992])).
% 6.65/6.87 tff(995,plain,
% 6.65/6.87 ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))),
% 6.65/6.87 inference(unit_resolution,[status(thm)],[994, 196, 149, 140])).
% 6.65/6.87 tff(996,plain,
% 6.65/6.87 ((~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7))),
% 6.65/6.87 inference(unit_resolution,[status(thm)],[995, 711])).
% 6.65/6.87 tff(997,plain,
% 6.65/6.87 (~(multiply(sk_c4, sk_c7) = sk_c8)),
% 6.65/6.87 inference(unit_resolution,[status(thm)],[996, 988, 983, 982, 981])).
% 6.65/6.87 tff(998,plain,
% 6.65/6.87 (~(multiply(sk_c4, sk_c8) = sk_c7)),
% 6.65/6.87 inference(modus_ponens,[status(thm)],[997, 891])).
% 6.65/6.87 tff(999,plain,
% 6.65/6.87 ($false),
% 6.65/6.87 inference(unit_resolution,[status(thm)],[983, 998])).
% 6.65/6.87 tff(1000,plain,(multiply(sk_c5, sk_c8) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 6.65/6.87 tff(1001,plain,
% 6.65/6.87 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8) = multiply(sk_c7, sk_c8)),
% 6.65/6.87 inference(transitivity,[status(thm)],[213, 1000, 756])).
% 6.65/6.87 tff(1002,plain,
% 6.65/6.87 (multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8), multiply(sk_c2, multiply(identity, sk_c7))) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7))),
% 6.65/6.87 inference(monotonicity,[status(thm)],[1001, 870])).
% 6.65/6.87 tff(1003,plain,
% 6.65/6.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8), multiply(sk_c2, multiply(identity, sk_c7))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c8, multiply(sk_c2, multiply(identity, sk_c7)))))),
% 6.65/6.87 inference(quant_inst,[status(thm)],[])).
% 6.65/6.87 tff(1004,plain,
% 6.65/6.87 (multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8), multiply(sk_c2, multiply(identity, sk_c7))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c8, multiply(sk_c2, multiply(identity, sk_c7))))),
% 6.65/6.87 inference(unit_resolution,[status(thm)],[1003, 14])).
% 6.65/6.87 tff(1005,plain,
% 6.65/6.87 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c8, multiply(sk_c2, multiply(identity, sk_c7)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8), multiply(sk_c2, multiply(identity, sk_c7)))),
% 6.65/6.87 inference(symmetry,[status(thm)],[1004])).
% 6.65/6.87 tff(1006,plain,
% 6.65/6.87 (multiply(sk_c8, multiply(sk_c2, multiply(identity, sk_c7))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7))),
% 6.65/6.87 inference(monotonicity,[status(thm)],[870])).
% 6.65/6.87 tff(1007,plain,
% 6.65/6.87 (multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7)) = multiply(sk_c8, multiply(sk_c2, multiply(identity, sk_c7)))),
% 6.65/6.87 inference(symmetry,[status(thm)],[1006])).
% 6.65/6.87 tff(1008,plain,
% 6.65/6.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7)))),
% 6.65/6.87 inference(quant_inst,[status(thm)],[])).
% 6.65/6.87 tff(1009,plain,
% 6.65/6.87 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7))),
% 6.65/6.87 inference(unit_resolution,[status(thm)],[1008, 14])).
% 6.65/6.87 tff(1010,plain,
% 6.65/6.87 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, identity)) = multiply(sk_c8, multiply(sk_c2, identity))),
% 6.65/6.87 inference(monotonicity,[status(thm)],[499])).
% 6.65/6.87 tff(1011,plain,
% 6.65/6.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, identity)) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, identity))))),
% 6.65/6.87 inference(quant_inst,[status(thm)],[])).
% 6.65/6.87 tff(1012,plain,
% 6.65/6.87 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, identity)) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, identity)))),
% 6.65/6.87 inference(unit_resolution,[status(thm)],[1011, 14])).
% 6.65/6.87 tff(1013,plain,
% 6.65/6.87 (multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, identity))) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, identity))),
% 6.65/6.87 inference(symmetry,[status(thm)],[1012])).
% 6.65/6.87 tff(1014,plain,
% 6.65/6.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, identity)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))),
% 6.65/6.87 inference(quant_inst,[status(thm)],[])).
% 6.65/6.87 tff(1015,plain,
% 6.65/6.87 (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, identity)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))),
% 6.72/6.87 inference(unit_resolution,[status(thm)],[1014, 14])).
% 6.72/6.87 tff(1016,plain,
% 6.72/6.87 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))) = multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, identity))),
% 6.72/6.87 inference(symmetry,[status(thm)],[1015])).
% 6.72/6.87 tff(1017,plain,
% 6.72/6.87 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, identity)))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[1016])).
% 6.72/6.87 tff(1018,plain,
% 6.72/6.87 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = identity),
% 6.72/6.87 inference(transitivity,[status(thm)],[1017, 1013, 1010, 853, 850, 281])).
% 6.72/6.87 tff(1019,plain,
% 6.72/6.87 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7) = multiply(identity, sk_c7)),
% 6.72/6.87 inference(monotonicity,[status(thm)],[1018])).
% 6.72/6.87 tff(1020,plain,
% 6.72/6.87 (multiply(identity, sk_c7) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7)),
% 6.72/6.87 inference(symmetry,[status(thm)],[1019])).
% 6.72/6.87 tff(1021,plain,
% 6.72/6.87 (sk_c7 = multiply(identity, sk_c7)),
% 6.72/6.87 inference(symmetry,[status(thm)],[95])).
% 6.72/6.87 tff(1022,plain,
% 6.72/6.87 (sk_c7 = multiply(sk_c8, multiply(sk_c2, multiply(identity, sk_c7)))),
% 6.72/6.87 inference(transitivity,[status(thm)],[1021, 1020, 1009, 1007])).
% 6.72/6.87 tff(1023,plain,
% 6.72/6.87 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c8, multiply(sk_c2, multiply(identity, sk_c7))))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[1022])).
% 6.72/6.87 tff(1024,plain,
% 6.72/6.87 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)),
% 6.72/6.87 inference(transitivity,[status(thm)],[1023, 1005, 1002, 864, 861])).
% 6.72/6.87 tff(1025,plain,
% 6.72/6.87 (multiply(inverse(sk_c7), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7)) = multiply(inverse(sk_c7), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[1024])).
% 6.72/6.87 tff(1026,plain,
% 6.72/6.87 (multiply(inverse(sk_c7), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)) = multiply(inverse(sk_c7), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7))),
% 6.72/6.87 inference(symmetry,[status(thm)],[1025])).
% 6.72/6.87 tff(1027,plain,
% 6.72/6.87 (multiply(identity, sk_c7) = multiply(multiply(inverse(sk_c7), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c7)),
% 6.72/6.87 inference(symmetry,[status(thm)],[739])).
% 6.72/6.87 tff(1028,plain,
% 6.72/6.87 (sk_c7 = multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7)),
% 6.72/6.87 inference(transitivity,[status(thm)],[1021, 1027, 741, 1026, 849])).
% 6.72/6.87 tff(1029,plain,
% 6.72/6.87 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[1028])).
% 6.72/6.87 tff(1030,plain,
% 6.72/6.87 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 6.72/6.87 inference(monotonicity,[status(thm)],[598])).
% 6.72/6.87 tff(1031,plain,
% 6.72/6.87 (sk_c8 = sk_c7),
% 6.72/6.87 inference(transitivity,[status(thm)],[37, 646, 155, 757, 196, 756, 38, 299, 713, 694, 1030, 1029, 846, 843, 731, 730, 727, 725, 723, 719, 717, 608, 605, 394, 612, 253, 251, 598])).
% 6.72/6.87 tff(1032,plain,
% 6.72/6.87 ((inverse(sk_c7) = sk_c8) <=> (inverse(sk_c7) = sk_c7)),
% 6.72/6.87 inference(monotonicity,[status(thm)],[1031])).
% 6.72/6.87 tff(1033,plain,
% 6.72/6.87 ((~(inverse(sk_c7) = sk_c8)) <=> (~(inverse(sk_c7) = sk_c7))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[1032])).
% 6.72/6.87 tff(1034,plain,
% 6.72/6.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c7)))),
% 6.72/6.87 inference(quant_inst,[status(thm)],[])).
% 6.72/6.87 tff(1035,plain,
% 6.72/6.87 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 6.72/6.87 inference(unit_resolution,[status(thm)],[1034, 14])).
% 6.72/6.87 tff(1036,plain,
% 6.72/6.87 (multiply(sk_c7, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 6.72/6.87 inference(symmetry,[status(thm)],[1035])).
% 6.72/6.87 tff(1037,plain,
% 6.72/6.87 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[716])).
% 6.72/6.87 tff(1038,plain,
% 6.72/6.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))))),
% 6.72/6.87 inference(quant_inst,[status(thm)],[])).
% 6.72/6.87 tff(1039,plain,
% 6.72/6.87 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8)))),
% 6.72/6.87 inference(unit_resolution,[status(thm)],[1038, 14])).
% 6.72/6.87 tff(1040,plain,
% 6.72/6.87 (multiply(sk_c7, multiply(sk_c7, sk_c8)) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[720])).
% 6.72/6.87 tff(1041,plain,
% 6.72/6.87 (multiply(sk_c7, multiply(sk_c8, sk_c7)) = multiply(sk_c7, multiply(sk_c7, sk_c8))),
% 6.72/6.87 inference(symmetry,[status(thm)],[1040])).
% 6.72/6.87 tff(1042,plain,
% 6.72/6.87 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[1041])).
% 6.72/6.87 tff(1043,plain,
% 6.72/6.87 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[724])).
% 6.72/6.87 tff(1044,plain,
% 6.72/6.87 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), sk_c7)),
% 6.72/6.87 inference(monotonicity,[status(thm)],[1040])).
% 6.72/6.87 tff(1045,plain,
% 6.72/6.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)))),
% 6.72/6.87 inference(quant_inst,[status(thm)],[])).
% 6.72/6.87 tff(1046,plain,
% 6.72/6.87 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))),
% 6.72/6.87 inference(unit_resolution,[status(thm)],[1045, 14])).
% 6.72/6.87 tff(1047,plain,
% 6.72/6.87 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), sk_c7)),
% 6.72/6.87 inference(symmetry,[status(thm)],[1046])).
% 6.72/6.87 tff(1048,plain,
% 6.72/6.87 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, sk_c7))) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), sk_c7))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[1036])).
% 6.72/6.87 tff(1049,plain,
% 6.72/6.87 (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 6.72/6.87 inference(transitivity,[status(thm)],[38, 299, 713, 694, 1030, 1035])).
% 6.72/6.87 tff(1050,plain,
% 6.72/6.87 (multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[835])).
% 6.72/6.87 tff(1051,plain,
% 6.72/6.87 (multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = sk_c7),
% 6.72/6.87 inference(transitivity,[status(thm)],[1050, 841, 840, 838, 828, 814, 811, 797, 795, 772, 770, 768, 765, 755, 238, 753, 742, 739, 95])).
% 6.72/6.87 tff(1052,plain,
% 6.72/6.87 (multiply(multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))), multiply(sk_c7, sk_c8)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, sk_c7)))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[1051, 1049])).
% 6.72/6.87 tff(1053,plain,
% 6.72/6.87 (multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.87 inference(symmetry,[status(thm)],[1050])).
% 6.72/6.87 tff(1054,plain,
% 6.72/6.87 (multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[841])).
% 6.72/6.88 tff(1055,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))) = multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[840])).
% 6.72/6.88 tff(1056,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[838])).
% 6.72/6.88 tff(1057,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.88 inference(transitivity,[status(thm)],[1056, 1055, 1054, 1053])).
% 6.72/6.88 tff(1058,plain,
% 6.72/6.88 (multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))), multiply(sk_c7, sk_c8))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1057, 802])).
% 6.72/6.88 tff(1059,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c8), sk_c7) = multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c8, sk_c7)))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1060,plain,
% 6.72/6.88 (multiply(multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c8), sk_c7) = multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c8, sk_c7))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1059, 14])).
% 6.72/6.88 tff(1061,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c8) = multiply(sk_c8, multiply(multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8)))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1062,plain,
% 6.72/6.88 (multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c8) = multiply(sk_c8, multiply(multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1061, 14])).
% 6.72/6.88 tff(1063,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8)) = multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c8)),
% 6.72/6.88 inference(symmetry,[status(thm)],[1062])).
% 6.72/6.88 tff(1064,plain,
% 6.72/6.88 (multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7) = multiply(sk_c7, identity)),
% 6.72/6.88 inference(transitivity,[status(thm)],[222, 217])).
% 6.72/6.88 tff(1065,plain,
% 6.72/6.88 (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7), sk_c8) = multiply(multiply(sk_c7, identity), sk_c8)),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1064])).
% 6.72/6.88 tff(1066,plain,
% 6.72/6.88 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c8)) = multiply(multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7), sk_c8)),
% 6.72/6.88 inference(symmetry,[status(thm)],[430])).
% 6.72/6.88 tff(1067,plain,
% 6.72/6.88 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c8))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1001])).
% 6.72/6.88 tff(1068,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1069,plain,
% 6.72/6.88 (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1068, 14])).
% 6.72/6.88 tff(1070,plain,
% 6.72/6.88 (multiply(multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = multiply(sk_c7, sk_c8)),
% 6.72/6.88 inference(transitivity,[status(thm)],[1069, 1067, 1066, 1065, 41, 39])).
% 6.72/6.88 tff(1071,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8)) = multiply(sk_c8, multiply(sk_c7, sk_c8))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1070])).
% 6.72/6.88 tff(1072,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(sk_c8, multiply(multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8))),
% 6.72/6.88 inference(symmetry,[status(thm)],[1071])).
% 6.72/6.88 tff(1073,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c8)),
% 6.72/6.88 inference(transitivity,[status(thm)],[1072, 1063])).
% 6.72/6.88 tff(1074,plain,
% 6.72/6.88 (multiply(multiply(sk_c8, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c8), sk_c7)),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1073, 598])).
% 6.72/6.88 tff(1075,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(sk_c8, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1076,plain,
% 6.72/6.88 (multiply(multiply(sk_c8, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(sk_c8, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8)))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1075, 14])).
% 6.72/6.88 tff(1077,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))) = multiply(multiply(sk_c8, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8))),
% 6.72/6.88 inference(symmetry,[status(thm)],[1076])).
% 6.72/6.88 tff(1078,plain,
% 6.72/6.88 (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))),
% 6.72/6.88 inference(transitivity,[status(thm)],[38, 299, 713, 694])).
% 6.72/6.88 tff(1079,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(sk_c8, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8)))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1078])).
% 6.72/6.88 tff(1080,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = sk_c7),
% 6.72/6.88 inference(transitivity,[status(thm)],[1079, 1077, 1074, 1060, 1058, 1052, 1048, 1047, 1044, 1043, 1042, 1039, 1037, 1036, 1029, 846, 843, 731, 730, 727, 725, 723, 719, 717, 608, 605, 394, 612, 253, 251, 598])).
% 6.72/6.88 tff(1081,plain,
% 6.72/6.88 ((inverse(sk_c4) = sk_c7) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[446, 1000])).
% 6.72/6.88 tff(1082,plain,
% 6.72/6.88 (inverse(sk_c4) = sk_c7),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1081, 322, 598])).
% 6.72/6.88 tff(1083,plain,
% 6.72/6.88 (multiply(multiply(sk_c7, sk_c8), sk_c7) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))),
% 6.72/6.88 inference(symmetry,[status(thm)],[1030])).
% 6.72/6.88 tff(1084,plain,
% 6.72/6.88 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7)) = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 6.72/6.88 inference(symmetry,[status(thm)],[1029])).
% 6.72/6.88 tff(1085,plain,
% 6.72/6.88 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7)),
% 6.72/6.88 inference(symmetry,[status(thm)],[843])).
% 6.72/6.88 tff(1086,plain,
% 6.72/6.88 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, sk_c8), sk_c7)) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, sk_c7)))),
% 6.72/6.88 inference(symmetry,[status(thm)],[731])).
% 6.72/6.88 tff(1087,plain,
% 6.72/6.88 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)), sk_c7)),
% 6.72/6.88 inference(symmetry,[status(thm)],[727])).
% 6.72/6.88 tff(1088,plain,
% 6.72/6.88 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c7)),
% 6.72/6.88 inference(symmetry,[status(thm)],[725])).
% 6.72/6.88 tff(1089,plain,
% 6.72/6.88 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8))),
% 6.72/6.88 inference(symmetry,[status(thm)],[723])).
% 6.72/6.88 tff(1090,plain,
% 6.72/6.88 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8))),
% 6.72/6.88 inference(symmetry,[status(thm)],[719])).
% 6.72/6.88 tff(1091,plain,
% 6.72/6.88 (multiply(sk_c4, multiply(sk_c8, sk_c7)) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8)))),
% 6.72/6.88 inference(symmetry,[status(thm)],[717])).
% 6.72/6.88 tff(1092,plain,
% 6.72/6.88 (multiply(inverse(sk_c7), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1001])).
% 6.72/6.88 tff(1093,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = multiply(inverse(sk_c7), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8)))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1094,plain,
% 6.72/6.88 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = multiply(inverse(sk_c7), multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1093, 14])).
% 6.72/6.88 tff(1095,plain,
% 6.72/6.88 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8) = sk_c8),
% 6.72/6.88 inference(transitivity,[status(thm)],[1094, 1092, 294, 773, 26])).
% 6.72/6.88 tff(1096,plain,
% 6.72/6.88 (multiply(multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1095, 352])).
% 6.72/6.88 tff(1097,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1098,plain,
% 6.72/6.88 (multiply(multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1097, 14])).
% 6.72/6.88 tff(1099,plain,
% 6.72/6.88 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[1098])).
% 6.72/6.88 tff(1100,plain,
% 6.72/6.88 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[835, 833])).
% 6.72/6.88 tff(1101,plain,
% 6.72/6.88 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.72/6.88 inference(transitivity,[status(thm)],[1100, 1099, 1096])).
% 6.72/6.88 tff(1102,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1101])).
% 6.72/6.88 tff(1103,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1104,plain,
% 6.72/6.88 (multiply(multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1103, 14])).
% 6.72/6.88 tff(1105,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[835])).
% 6.72/6.88 tff(1106,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[1105])).
% 6.72/6.88 tff(1107,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[758])).
% 6.72/6.88 tff(1108,plain,
% 6.72/6.88 (multiply(multiply(sk_c7, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[1107])).
% 6.72/6.88 tff(1109,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.88 inference(transitivity,[status(thm)],[1056, 1055, 1054, 1108, 1106])).
% 6.72/6.88 tff(1110,plain,
% 6.72/6.88 (multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1109])).
% 6.72/6.88 tff(1111,plain,
% 6.72/6.88 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(sk_c4, sk_c5))),
% 6.72/6.88 inference(transitivity,[status(thm)],[360, 760])).
% 6.72/6.88 tff(1112,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(multiply(sk_c7, multiply(inverse(sk_c7), identity)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[828])).
% 6.72/6.88 tff(1113,plain,
% 6.72/6.88 (multiply(multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), identity))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.88 inference(symmetry,[status(thm)],[811])).
% 6.72/6.88 tff(1114,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, sk_c2))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[797])).
% 6.72/6.88 tff(1115,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(inverse(sk_c7), multiply(sk_c8, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[795])).
% 6.72/6.88 tff(1116,plain,
% 6.72/6.88 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c8)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.88 inference(symmetry,[status(thm)],[772])).
% 6.72/6.88 tff(1117,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c8)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.88 inference(symmetry,[status(thm)],[770])).
% 6.72/6.88 tff(1118,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[768])).
% 6.72/6.88 tff(1119,plain,
% 6.72/6.88 (multiply(inverse(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[765])).
% 6.72/6.88 tff(1120,plain,
% 6.72/6.88 (identity = multiply(inverse(multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[755])).
% 6.72/6.88 tff(1121,plain,
% 6.72/6.88 (multiply(inverse(sk_c7), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)) = multiply(inverse(sk_c7), sk_c7)),
% 6.72/6.88 inference(symmetry,[status(thm)],[753])).
% 6.72/6.88 tff(1122,plain,
% 6.72/6.88 (sk_c7 = multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(transitivity,[status(thm)],[1021, 1027, 741, 1121, 216, 1120, 1119, 1118, 1117, 1116, 1115, 1114, 1113, 813, 1112])).
% 6.72/6.88 tff(1123,plain,
% 6.72/6.88 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1122, 1111])).
% 6.72/6.88 tff(1124,plain,
% 6.72/6.88 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.88 inference(transitivity,[status(thm)],[788, 359])).
% 6.72/6.88 tff(1125,plain,
% 6.72/6.88 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1124])).
% 6.72/6.88 tff(1126,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1127,plain,
% 6.72/6.88 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1126, 14])).
% 6.72/6.88 tff(1128,plain,
% 6.72/6.88 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1041])).
% 6.72/6.88 tff(1129,plain,
% 6.72/6.88 (multiply(inverse(sk_c7), multiply(sk_c8, sk_c7)) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c8))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[802])).
% 6.72/6.88 tff(1130,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c8), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c8, sk_c7)))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1131,plain,
% 6.72/6.88 (multiply(multiply(inverse(sk_c7), sk_c8), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c8, sk_c7))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1130, 14])).
% 6.72/6.88 tff(1132,plain,
% 6.72/6.88 (multiply(multiply(inverse(sk_c7), sk_c8), multiply(sk_c4, sk_c8)) = multiply(multiply(inverse(sk_c7), sk_c8), sk_c7)),
% 6.72/6.88 inference(monotonicity,[status(thm)],[598])).
% 6.72/6.88 tff(1133,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c8), multiply(sk_c4, sk_c8)) = multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c8))))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1134,plain,
% 6.72/6.88 (multiply(multiply(inverse(sk_c7), sk_c8), multiply(sk_c4, sk_c8)) = multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1133, 14])).
% 6.72/6.88 tff(1135,plain,
% 6.72/6.88 (multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c8))) = multiply(multiply(inverse(sk_c7), sk_c8), multiply(sk_c4, sk_c8))),
% 6.72/6.88 inference(symmetry,[status(thm)],[1134])).
% 6.72/6.88 tff(1136,plain,
% 6.72/6.88 (multiply(inverse(sk_c7), sk_c8) = multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[771])).
% 6.72/6.88 tff(1137,plain,
% 6.72/6.88 (multiply(inverse(sk_c7), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 6.72/6.88 inference(transitivity,[status(thm)],[1136, 1135, 1132, 1131, 1129, 294, 773, 646, 155, 757, 196, 756, 38, 299, 713, 694, 1030, 1035])).
% 6.72/6.88 tff(1138,plain,
% 6.72/6.88 (multiply(multiply(inverse(sk_c7), sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[1137])).
% 6.72/6.88 tff(1139,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1140,plain,
% 6.72/6.88 (multiply(multiply(inverse(sk_c7), sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1139, 14])).
% 6.72/6.88 tff(1141,plain,
% 6.72/6.88 (multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(inverse(sk_c7), sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[1140])).
% 6.72/6.88 tff(1142,plain,
% 6.72/6.88 (multiply(multiply(sk_c8, sk_c2), inverse(sk_c7)) = multiply(identity, inverse(sk_c7))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[497])).
% 6.72/6.88 tff(1143,plain,
% 6.72/6.88 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), inverse(sk_c7)) = multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(1144,plain,
% 6.72/6.88 (multiply(multiply(sk_c8, sk_c2), inverse(sk_c7)) = multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[1143, 14])).
% 6.72/6.88 tff(1145,plain,
% 6.72/6.88 (multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))) = multiply(multiply(sk_c8, sk_c2), inverse(sk_c7))),
% 6.72/6.88 inference(symmetry,[status(thm)],[1144])).
% 6.72/6.88 tff(1146,plain,
% 6.72/6.88 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, inverse(sk_c7))) = multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[499])).
% 6.72/6.89 tff(1147,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, inverse(sk_c7))) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, inverse(sk_c7)))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1148,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, inverse(sk_c7))) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, inverse(sk_c7))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1147, 14])).
% 6.72/6.89 tff(1149,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, inverse(sk_c7)))) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, inverse(sk_c7)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1148])).
% 6.72/6.89 tff(1150,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, inverse(sk_c7))) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1151,plain,
% 6.72/6.89 (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, inverse(sk_c7))) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1150, 14])).
% 6.72/6.89 tff(1152,plain,
% 6.72/6.89 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))) = multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, inverse(sk_c7)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1151])).
% 6.72/6.89 tff(1153,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, inverse(sk_c7))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1152])).
% 6.72/6.89 tff(1154,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))) = inverse(sk_c7)),
% 6.72/6.89 inference(transitivity,[status(thm)],[1153, 1149, 1146, 1145, 1142, 523])).
% 6.72/6.89 tff(1155,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1154])).
% 6.72/6.89 tff(1156,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1157,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1156, 14])).
% 6.72/6.89 tff(1158,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1157])).
% 6.72/6.89 tff(1159,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[800])).
% 6.72/6.89 tff(1160,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1161,plain,
% 6.72/6.89 (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1160, 14])).
% 6.72/6.89 tff(1162,plain,
% 6.72/6.89 (multiply(identity, inverse(sk_c7)) = multiply(multiply(sk_c8, sk_c2), inverse(sk_c7))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1142])).
% 6.72/6.89 tff(1163,plain,
% 6.72/6.89 (inverse(sk_c7) = multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))),
% 6.72/6.89 inference(transitivity,[status(thm)],[524, 1162, 1144])).
% 6.72/6.89 tff(1164,plain,
% 6.72/6.89 (multiply(sk_c2, inverse(sk_c7)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1163])).
% 6.72/6.89 tff(1165,plain,
% 6.72/6.89 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))) = multiply(sk_c2, inverse(sk_c7))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1164])).
% 6.72/6.89 tff(1166,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, inverse(sk_c7)))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1165])).
% 6.72/6.89 tff(1167,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, inverse(sk_c7))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1166])).
% 6.72/6.89 tff(1168,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, inverse(sk_c7))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1169,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, inverse(sk_c7))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1168, 14])).
% 6.72/6.89 tff(1170,plain,
% 6.72/6.89 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, inverse(sk_c7)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1169])).
% 6.72/6.89 tff(1171,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))) = inverse(sk_c7)),
% 6.72/6.89 inference(transitivity,[status(thm)],[1145, 1142, 523])).
% 6.72/6.89 tff(1172,plain,
% 6.72/6.89 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))) = multiply(sk_c7, inverse(sk_c7))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1171])).
% 6.72/6.89 tff(1173,plain,
% 6.72/6.89 (multiply(sk_c7, inverse(sk_c7)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1172])).
% 6.72/6.89 tff(1174,plain,
% 6.72/6.89 (multiply(sk_c7, inverse(sk_c7)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))))),
% 6.72/6.89 inference(transitivity,[status(thm)],[1173, 1170, 1167])).
% 6.72/6.89 tff(1175,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1174])).
% 6.72/6.89 tff(1176,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, identity), inverse(sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), inverse(sk_c7))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[712])).
% 6.72/6.89 tff(1177,plain,
% 6.72/6.89 (multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), inverse(sk_c7)) = multiply(multiply(sk_c7, identity), inverse(sk_c7))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1176])).
% 6.72/6.89 tff(1178,plain,
% 6.72/6.89 (multiply(multiply(identity, multiply(sk_c7, sk_c8)), multiply(sk_c4, inverse(sk_c7))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7)))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[779])).
% 6.72/6.89 tff(1179,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(sk_c7, sk_c8)), multiply(sk_c4, inverse(sk_c7))) = multiply(identity, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7)))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1180,plain,
% 6.72/6.89 (multiply(multiply(identity, multiply(sk_c7, sk_c8)), multiply(sk_c4, inverse(sk_c7))) = multiply(identity, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1179, 14])).
% 6.72/6.89 tff(1181,plain,
% 6.72/6.89 (multiply(identity, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7)))) = multiply(multiply(identity, multiply(sk_c7, sk_c8)), multiply(sk_c4, inverse(sk_c7)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1180])).
% 6.72/6.89 tff(1182,plain,
% 6.72/6.89 (multiply(sk_c7, inverse(sk_c7)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7)))),
% 6.72/6.89 inference(transitivity,[status(thm)],[942, 960, 1176, 951])).
% 6.72/6.89 tff(1183,plain,
% 6.72/6.89 (multiply(identity, multiply(sk_c7, inverse(sk_c7))) = multiply(identity, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, inverse(sk_c7))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1182])).
% 6.72/6.89 tff(1184,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, sk_c2), multiply(sk_c7, inverse(sk_c7))) = multiply(identity, multiply(sk_c7, inverse(sk_c7)))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[497])).
% 6.72/6.89 tff(1185,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), multiply(sk_c7, inverse(sk_c7))) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c7, inverse(sk_c7)))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1186,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, sk_c2), multiply(sk_c7, inverse(sk_c7))) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1185, 14])).
% 6.72/6.89 tff(1187,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c7, inverse(sk_c7)))) = multiply(multiply(sk_c8, sk_c2), multiply(sk_c7, inverse(sk_c7)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1186])).
% 6.72/6.89 tff(1188,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c7, inverse(sk_c7)))) = multiply(sk_c7, inverse(sk_c7))),
% 6.72/6.89 inference(transitivity,[status(thm)],[1187, 1184, 1183, 1181, 1178, 952, 1177, 945, 943])).
% 6.72/6.89 tff(1189,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c7, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1188])).
% 6.72/6.89 tff(1190,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c7, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1191,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c7, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1190, 14])).
% 6.72/6.89 tff(1192,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c7, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1191])).
% 6.72/6.89 tff(1193,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[800])).
% 6.72/6.89 tff(1194,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1195,plain,
% 6.72/6.89 (multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1194, 14])).
% 6.72/6.89 tff(1196,plain,
% 6.72/6.89 (multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1195])).
% 6.72/6.89 tff(1197,plain,
% 6.72/6.89 (multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8), multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1001, 1196])).
% 6.72/6.89 tff(1198,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8), multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c8, multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1199,plain,
% 6.72/6.89 (multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8), multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c8, multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1198, 14])).
% 6.72/6.89 tff(1200,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c8, multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8), multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1199])).
% 6.72/6.89 tff(1201,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1196])).
% 6.72/6.89 tff(1202,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1201])).
% 6.72/6.89 tff(1203,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c7, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1189])).
% 6.72/6.89 tff(1204,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.89 inference(transitivity,[status(thm)],[1203, 1191, 1202])).
% 6.72/6.89 tff(1205,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c8, multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1204])).
% 6.72/6.89 tff(1206,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[837])).
% 6.72/6.89 tff(1207,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1208,plain,
% 6.72/6.89 (multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1207, 14])).
% 6.72/6.89 tff(1209,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[366, 834])).
% 6.72/6.89 tff(1210,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c8, multiply(sk_c2, multiply(identity, sk_c7)))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7)),
% 6.72/6.89 inference(symmetry,[status(thm)],[1023])).
% 6.72/6.89 tff(1211,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))), sk_c7)) = multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8), multiply(sk_c2, multiply(identity, sk_c7)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1002])).
% 6.72/6.89 tff(1212,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7)),
% 6.72/6.89 inference(symmetry,[status(thm)],[861])).
% 6.72/6.89 tff(1213,plain,
% 6.72/6.89 (multiply(sk_c7, sk_c7) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))),
% 6.72/6.89 inference(transitivity,[status(thm)],[749, 747, 744, 1212, 863, 1211, 1004, 1210, 365])).
% 6.72/6.89 tff(1214,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1213, 835])).
% 6.72/6.89 tff(1215,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(sk_c7, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1216,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(sk_c7, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1215, 14])).
% 6.72/6.89 tff(1217,plain,
% 6.72/6.89 (multiply(sk_c7, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))) = multiply(multiply(sk_c7, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1216])).
% 6.72/6.89 tff(1218,plain,
% 6.72/6.89 (multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.89 inference(symmetry,[status(thm)],[836])).
% 6.72/6.89 tff(1219,plain,
% 6.72/6.89 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.89 inference(transitivity,[status(thm)],[830, 1218])).
% 6.72/6.89 tff(1220,plain,
% 6.72/6.89 (multiply(sk_c7, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c7, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1219])).
% 6.72/6.89 tff(1221,plain,
% 6.72/6.89 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(sk_c7, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[598, 831])).
% 6.72/6.89 tff(1222,plain,
% 6.72/6.89 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8) = multiply(multiply(sk_c4, identity), sk_c8)),
% 6.72/6.89 inference(monotonicity,[status(thm)],[558])).
% 6.72/6.89 tff(1223,plain,
% 6.72/6.89 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8) = multiply(sk_c4, sk_c8)),
% 6.72/6.89 inference(transitivity,[status(thm)],[1222, 253, 251])).
% 6.72/6.89 tff(1224,plain,
% 6.72/6.89 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1223])).
% 6.72/6.89 tff(1225,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))))))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1226,plain,
% 6.72/6.89 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1225, 14])).
% 6.72/6.89 tff(1227,plain,
% 6.72/6.89 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1226])).
% 6.72/6.89 tff(1228,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[831])).
% 6.72/6.89 tff(1229,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.89 inference(symmetry,[status(thm)],[1228])).
% 6.72/6.89 tff(1230,plain,
% 6.72/6.89 (sk_c7 = multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.89 inference(transitivity,[status(thm)],[1021, 1027, 741, 1121, 216, 1120, 1119, 1118, 1117, 1116, 1115, 1114, 1113, 813, 1112, 1229])).
% 6.72/6.89 tff(1231,plain,
% 6.72/6.89 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c4, sk_c8), sk_c4)),
% 6.72/6.89 inference(monotonicity,[status(thm)],[724])).
% 6.72/6.89 tff(1232,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))) = multiply(sk_c8, multiply(sk_c4, identity))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[558])).
% 6.72/6.89 tff(1233,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))) = identity),
% 6.72/6.89 inference(transitivity,[status(thm)],[1232, 350, 564, 281])).
% 6.72/6.89 tff(1234,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(identity, sk_c7)),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1233])).
% 6.72/6.89 tff(1235,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7)))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1236,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1235, 14])).
% 6.72/6.89 tff(1237,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))), sk_c7)),
% 6.72/6.89 inference(symmetry,[status(thm)],[1236])).
% 6.72/6.89 tff(1238,plain,
% 6.72/6.89 (multiply(sk_c4, multiply(sk_c8, sk_c2)) = multiply(sk_c4, identity)),
% 6.72/6.89 inference(monotonicity,[status(thm)],[497])).
% 6.72/6.89 tff(1239,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c2) = multiply(sk_c4, multiply(sk_c8, sk_c2)))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1240,plain,
% 6.72/6.89 (multiply(multiply(sk_c4, sk_c8), sk_c2) = multiply(sk_c4, multiply(sk_c8, sk_c2))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1239, 14])).
% 6.72/6.89 tff(1241,plain,
% 6.72/6.89 (multiply(multiply(sk_c4, sk_c8), sk_c2) = multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))),
% 6.72/6.89 inference(transitivity,[status(thm)],[1240, 1238, 557])).
% 6.72/6.89 tff(1242,plain,
% 6.72/6.89 (multiply(multiply(multiply(sk_c4, sk_c8), sk_c2), sk_c7) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7)),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1241])).
% 6.72/6.89 tff(1243,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c8), sk_c2), sk_c7) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1244,plain,
% 6.72/6.89 (multiply(multiply(multiply(sk_c4, sk_c8), sk_c2), sk_c7) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1243, 14])).
% 6.72/6.89 tff(1245,plain,
% 6.72/6.89 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c4, sk_c8), sk_c2), sk_c7)),
% 6.72/6.89 inference(symmetry,[status(thm)],[1244])).
% 6.72/6.89 tff(1246,plain,
% 6.72/6.89 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7)),
% 6.72/6.89 inference(transitivity,[status(thm)],[1245, 1242])).
% 6.72/6.89 tff(1247,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))) = multiply(sk_c8, multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1246])).
% 6.72/6.89 tff(1248,plain,
% 6.72/6.89 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))) = sk_c7),
% 6.72/6.89 inference(transitivity,[status(thm)],[1247, 1237, 1234, 95])).
% 6.72/6.89 tff(1249,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))), sk_c4) = multiply(sk_c7, sk_c4)),
% 6.72/6.89 inference(monotonicity,[status(thm)],[1248])).
% 6.72/6.89 tff(1250,plain,
% 6.72/6.89 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))), sk_c4) = multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4)))),
% 6.72/6.89 inference(quant_inst,[status(thm)],[])).
% 6.72/6.89 tff(1251,plain,
% 6.72/6.89 (multiply(multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))), sk_c4) = multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1250, 14])).
% 6.72/6.90 tff(1252,plain,
% 6.72/6.90 (multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4)) = multiply(multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))), sk_c4)),
% 6.72/6.90 inference(symmetry,[status(thm)],[1251])).
% 6.72/6.90 tff(1253,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4)) = multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[800])).
% 6.72/6.90 tff(1254,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 6.72/6.90 inference(monotonicity,[status(thm)],[598])).
% 6.72/6.90 tff(1255,plain,
% 6.72/6.90 (multiply(multiply(multiply(sk_c4, sk_c8), sk_c8), multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4)) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1254])).
% 6.72/6.90 tff(1256,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c8), sk_c8), multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4)) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4))))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1257,plain,
% 6.72/6.90 (multiply(multiply(multiply(sk_c4, sk_c8), sk_c8), multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4)) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4)))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1256, 14])).
% 6.72/6.90 tff(1258,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4))) = multiply(multiply(multiply(sk_c4, sk_c8), sk_c8), multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1257])).
% 6.72/6.90 tff(1259,plain,
% 6.72/6.90 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))), sk_c4)),
% 6.72/6.90 inference(symmetry,[status(thm)],[1249])).
% 6.72/6.90 tff(1260,plain,
% 6.72/6.90 (multiply(sk_c7, sk_c4) = multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4))),
% 6.72/6.90 inference(transitivity,[status(thm)],[1259, 1251])).
% 6.72/6.90 tff(1261,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c7, sk_c4)) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4)))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1260])).
% 6.72/6.90 tff(1262,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), multiply(sk_c7, sk_c4)) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c7, sk_c4))))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1263,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c7, sk_c4)) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c7, sk_c4)))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1262, 14])).
% 6.72/6.90 tff(1264,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(sk_c8, multiply(sk_c7, sk_c4))) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c7, sk_c4))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1263])).
% 6.72/6.90 tff(1265,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), sk_c4) = multiply(sk_c8, multiply(sk_c7, sk_c4)))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1266,plain,
% 6.72/6.90 (multiply(multiply(sk_c8, sk_c7), sk_c4) = multiply(sk_c8, multiply(sk_c7, sk_c4))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1265, 14])).
% 6.72/6.90 tff(1267,plain,
% 6.72/6.90 (multiply(multiply(sk_c8, sk_c7), sk_c4) = multiply(multiply(sk_c7, sk_c8), sk_c4)),
% 6.72/6.90 inference(monotonicity,[status(thm)],[802])).
% 6.72/6.90 tff(1268,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(multiply(sk_c8, sk_c7), sk_c4)),
% 6.72/6.90 inference(symmetry,[status(thm)],[1267])).
% 6.72/6.90 tff(1269,plain,
% 6.72/6.90 (multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)) = multiply(sk_c8, multiply(sk_c7, sk_c4))),
% 6.72/6.90 inference(transitivity,[status(thm)],[217, 427, 426, 1268, 1266])).
% 6.72/6.90 tff(1270,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c7, sk_c4)))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1269])).
% 6.72/6.90 tff(1271,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))) = multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[860])).
% 6.72/6.90 tff(1272,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1273,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1272, 14])).
% 6.72/6.90 tff(1274,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[722])).
% 6.72/6.90 tff(1275,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))),
% 6.72/6.90 inference(transitivity,[status(thm)],[1274, 1273, 1271, 1270, 1264, 1261, 1258, 1255, 1253, 1252, 1249, 1231, 389, 387, 557])).
% 6.72/6.90 tff(1276,plain,
% 6.72/6.90 (multiply(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1275, 1230])).
% 6.72/6.90 tff(1277,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1274])).
% 6.72/6.90 tff(1278,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1273])).
% 6.72/6.90 tff(1279,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1271])).
% 6.72/6.90 tff(1280,plain,
% 6.72/6.90 (multiply(multiply(sk_c8, sk_c2), sk_c6) = multiply(identity, multiply(sk_c8, sk_c7))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[497, 197])).
% 6.72/6.90 tff(1281,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c6) = multiply(sk_c8, multiply(sk_c2, sk_c6)))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1282,plain,
% 6.72/6.90 (multiply(multiply(sk_c8, sk_c2), sk_c6) = multiply(sk_c8, multiply(sk_c2, sk_c6))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1281, 14])).
% 6.72/6.90 tff(1283,plain,
% 6.72/6.90 (multiply(sk_c8, multiply(sk_c2, sk_c6)) = multiply(multiply(sk_c8, sk_c2), sk_c6)),
% 6.72/6.90 inference(symmetry,[status(thm)],[1282])).
% 6.72/6.90 tff(1284,plain,
% 6.72/6.90 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, sk_c6)) = multiply(sk_c8, multiply(sk_c2, sk_c6))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[499])).
% 6.72/6.90 tff(1285,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, sk_c6)) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c6))))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1286,plain,
% 6.72/6.90 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, sk_c6)) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c6)))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1285, 14])).
% 6.72/6.90 tff(1287,plain,
% 6.72/6.90 (multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c6))) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c8)), multiply(sk_c2, sk_c6))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1286])).
% 6.72/6.90 tff(1288,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c6)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1289,plain,
% 6.72/6.90 (multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c6)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1288, 14])).
% 6.72/6.90 tff(1290,plain,
% 6.72/6.90 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))) = multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c6))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1289])).
% 6.72/6.90 tff(1291,plain,
% 6.72/6.90 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c8), multiply(sk_c2, sk_c6)))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1290])).
% 6.72/6.90 tff(1292,plain,
% 6.72/6.90 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(sk_c7, sk_c8)),
% 6.72/6.90 inference(transitivity,[status(thm)],[1291, 1287, 1284, 1283, 1280, 777, 774, 196, 756])).
% 6.72/6.90 tff(1293,plain,
% 6.72/6.90 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, identity))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1292, 858])).
% 6.72/6.90 tff(1294,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1295,plain,
% 6.72/6.90 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))) = multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1294, 14])).
% 6.72/6.90 tff(1296,plain,
% 6.72/6.90 (multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1295])).
% 6.72/6.90 tff(1297,plain,
% 6.72/6.90 (multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))) = multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))),
% 6.72/6.90 inference(transitivity,[status(thm)],[1296, 1293, 857, 855, 431])).
% 6.72/6.90 tff(1298,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))) = multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1297])).
% 6.72/6.90 tff(1299,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))),
% 6.72/6.90 inference(transitivity,[status(thm)],[1298, 1279, 1278, 1277])).
% 6.72/6.90 tff(1300,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))) = multiply(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7)),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1299, 1248])).
% 6.72/6.90 tff(1301,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1302,plain,
% 6.72/6.90 (multiply(multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1301, 14])).
% 6.72/6.90 tff(1303,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c4, sk_c8), sk_c2), sk_c7)),
% 6.72/6.90 inference(symmetry,[status(thm)],[1242])).
% 6.72/6.90 tff(1304,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))),
% 6.72/6.90 inference(transitivity,[status(thm)],[1303, 1244])).
% 6.72/6.90 tff(1305,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), sk_c8) = multiply(multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c8)),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1298])).
% 6.72/6.90 tff(1306,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c8) = multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), sk_c8)),
% 6.72/6.90 inference(symmetry,[status(thm)],[1305])).
% 6.72/6.90 tff(1307,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c8) = multiply(sk_c4, multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8)))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1308,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c8) = multiply(sk_c4, multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1307, 14])).
% 6.72/6.90 tff(1309,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8)) = multiply(multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c8)),
% 6.72/6.90 inference(symmetry,[status(thm)],[1308])).
% 6.72/6.90 tff(1310,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8) = multiply(multiply(sk_c7, identity), sk_c8)),
% 6.72/6.90 inference(monotonicity,[status(thm)],[217])).
% 6.72/6.90 tff(1311,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8) = multiply(sk_c8, sk_c7)),
% 6.72/6.90 inference(transitivity,[status(thm)],[1310, 41, 39, 711, 197])).
% 6.72/6.90 tff(1312,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8)) = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1311])).
% 6.72/6.90 tff(1313,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(sk_c8, sk_c7)) = multiply(sk_c4, multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c8))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1312])).
% 6.72/6.90 tff(1314,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), sk_c8)),
% 6.72/6.90 inference(transitivity,[status(thm)],[1313, 1309, 1306])).
% 6.72/6.90 tff(1315,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7)) = multiply(multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1314, 1304])).
% 6.72/6.90 tff(1316,plain,
% 6.72/6.90 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), sk_c7) = multiply(multiply(sk_c4, sk_c8), sk_c7)),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1223])).
% 6.72/6.90 tff(1317,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, sk_c7))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[720])).
% 6.72/6.90 tff(1318,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c7, sk_c8)) = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.72/6.90 inference(transitivity,[status(thm)],[1317, 630, 1316, 607])).
% 6.72/6.90 tff(1319,plain,
% 6.72/6.90 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c7, sk_c8)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1318, 1246])).
% 6.72/6.90 tff(1320,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c7, sk_c8)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1321,plain,
% 6.72/6.90 (multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c7, sk_c8)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1320, 14])).
% 6.72/6.90 tff(1322,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))) = multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c7, sk_c8)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1321])).
% 6.72/6.90 tff(1323,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1246])).
% 6.72/6.90 tff(1324,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7)) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1323])).
% 6.72/6.90 tff(1325,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7)))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1326,plain,
% 6.72/6.90 (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1325, 14])).
% 6.72/6.90 tff(1327,plain,
% 6.72/6.90 (multiply(sk_c7, multiply(identity, identity)) = multiply(sk_c7, identity)),
% 6.72/6.90 inference(monotonicity,[status(thm)],[281])).
% 6.72/6.90 tff(1328,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), identity) = multiply(sk_c7, multiply(identity, identity)))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1329,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, identity), identity) = multiply(sk_c7, multiply(identity, identity))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1328, 14])).
% 6.72/6.90 tff(1330,plain,
% 6.72/6.90 (multiply(sk_c7, multiply(sk_c8, sk_c4)) = multiply(sk_c7, identity)),
% 6.72/6.90 inference(symmetry,[status(thm)],[427])).
% 6.72/6.90 tff(1331,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(sk_c7, identity)),
% 6.72/6.90 inference(transitivity,[status(thm)],[425, 1330])).
% 6.72/6.90 tff(1332,plain,
% 6.72/6.90 (multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), identity) = multiply(multiply(sk_c7, identity), identity)),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1331])).
% 6.72/6.90 tff(1333,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), identity) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, identity)))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1334,plain,
% 6.72/6.90 (multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), identity) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, identity))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1333, 14])).
% 6.72/6.90 tff(1335,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, identity)) = multiply(multiply(multiply(sk_c7, sk_c8), sk_c4), identity)),
% 6.72/6.90 inference(symmetry,[status(thm)],[1334])).
% 6.72/6.90 tff(1336,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, identity))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[558])).
% 6.72/6.90 tff(1337,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))) = multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))),
% 6.72/6.90 inference(transitivity,[status(thm)],[1336, 1335, 1332, 1329, 1327, 431])).
% 6.72/6.90 tff(1338,plain,
% 6.72/6.90 (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1337])).
% 6.72/6.90 tff(1339,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))), sk_c7)),
% 6.72/6.90 inference(symmetry,[status(thm)],[1338])).
% 6.72/6.90 tff(1340,plain,
% 6.72/6.90 (multiply(multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))), sk_c7) = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1297])).
% 6.72/6.90 tff(1341,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))), sk_c7) = multiply(sk_c8, multiply(multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7)))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1342,plain,
% 6.72/6.90 (multiply(multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))), sk_c7) = multiply(sk_c8, multiply(multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1341, 14])).
% 6.72/6.90 tff(1343,plain,
% 6.72/6.90 (multiply(sk_c8, multiply(multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7)) = multiply(multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))), sk_c7)),
% 6.72/6.90 inference(symmetry,[status(thm)],[1342])).
% 6.72/6.90 tff(1344,plain,
% 6.72/6.90 (multiply(sk_c8, multiply(multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7)) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))),
% 6.72/6.90 inference(transitivity,[status(thm)],[1343, 1340, 1339, 1326, 1324])).
% 6.72/6.90 tff(1345,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7))) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[1344])).
% 6.72/6.90 tff(1346,plain,
% 6.72/6.90 (multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7) = multiply(multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity))))), sk_c7)),
% 6.72/6.90 inference(symmetry,[status(thm)],[1340])).
% 6.72/6.90 tff(1347,plain,
% 6.72/6.90 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)) = multiply(sk_c8, multiply(multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7))),
% 6.72/6.90 inference(transitivity,[status(thm)],[366, 1023, 1005, 1002, 864, 861, 1346, 1342])).
% 6.72/6.90 tff(1348,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7)))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[557, 1347])).
% 6.72/6.90 tff(1349,plain,
% 6.72/6.90 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(sk_c4, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))))),
% 6.72/6.90 inference(quant_inst,[status(thm)],[])).
% 6.72/6.90 tff(1350,plain,
% 6.72/6.90 (multiply(multiply(sk_c4, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(sk_c4, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))))),
% 6.72/6.90 inference(unit_resolution,[status(thm)],[1349, 14])).
% 6.72/6.90 tff(1351,plain,
% 6.72/6.90 (multiply(sk_c4, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))) = multiply(multiply(sk_c4, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1350])).
% 6.72/6.90 tff(1352,plain,
% 6.72/6.90 (multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))) = multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, sk_c7))),
% 6.72/6.90 inference(monotonicity,[status(thm)],[206, 418])).
% 6.72/6.90 tff(1353,plain,
% 6.72/6.90 (multiply(multiply(sk_c8, sk_c4), multiply(sk_c5, sk_c7)) = multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 6.72/6.90 inference(symmetry,[status(thm)],[1352])).
% 6.72/6.90 tff(1354,plain,
% 6.72/6.90 (multiply(sk_c5, sk_c7) = multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 6.72/6.90 inference(transitivity,[status(thm)],[403, 406, 408, 1353])).
% 6.72/6.91 tff(1355,plain,
% 6.72/6.91 (multiply(sk_c4, multiply(sk_c5, sk_c7)) = multiply(sk_c4, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7))))),
% 6.72/6.91 inference(monotonicity,[status(thm)],[1354])).
% 6.72/6.91 tff(1356,plain,
% 6.72/6.91 (sk_c7 = multiply(sk_c5, sk_c7)),
% 6.72/6.91 inference(transitivity,[status(thm)],[724, 250, 286, 611, 393, 751, 749, 747, 744, 1212, 863, 1211, 1004, 1210, 365, 417, 412, 409, 407, 404])).
% 6.72/6.91 tff(1357,plain,
% 6.72/6.91 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c7))),
% 6.72/6.91 inference(monotonicity,[status(thm)],[1356])).
% 6.72/6.91 tff(1358,plain,
% 6.72/6.91 (multiply(sk_c4, sk_c7) = sk_c8),
% 6.72/6.91 inference(transitivity,[status(thm)],[1357, 1355, 1351, 1348, 1345, 1322, 1319, 1315, 1302, 1300, 1276, 1227, 1224, 1221, 1220, 1217, 1214, 1209, 1208, 1206, 1205, 1200, 1197, 1193, 1192, 1189, 1175, 1161, 1159, 1158, 1155, 834, 1141, 1138, 1128, 1127, 1125, 1123, 1110, 1104, 1102, 772, 770, 768, 765, 755, 238, 753, 742, 739, 95, 724, 250, 286, 611, 393, 604, 607, 1091, 1090, 1089, 1088, 1087, 729, 1086, 1085, 845, 1084, 1083, 715, 714, 41, 39, 711, 197, 799, 156, 647, 26])).
% 6.72/6.91 tff(1359,plain,
% 6.72/6.91 (~(inverse(sk_c7) = sk_c8)),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[996, 1358, 598, 1082, 1080])).
% 6.72/6.91 tff(1360,plain,
% 6.72/6.91 (~(inverse(sk_c7) = sk_c7)),
% 6.72/6.91 inference(modus_ponens,[status(thm)],[1359, 1033])).
% 6.72/6.91 tff(1361,plain,
% 6.72/6.91 (identity = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.72/6.91 inference(transitivity,[status(thm)],[238, 753, 742, 739, 95, 724, 250, 286, 611, 393, 604, 607])).
% 6.72/6.91 tff(1362,plain,
% 6.72/6.91 (multiply(identity, sk_c4) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c4)),
% 6.72/6.91 inference(monotonicity,[status(thm)],[1361])).
% 6.72/6.91 tff(1363,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c4) = multiply(identity, sk_c4)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1362])).
% 6.72/6.91 tff(1364,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c4) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), sk_c4)),
% 6.72/6.91 inference(monotonicity,[status(thm)],[722])).
% 6.72/6.91 tff(1365,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), sk_c4) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c4)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1364])).
% 6.72/6.91 tff(1366,plain,
% 6.72/6.91 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), sk_c4) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), sk_c4)))),
% 6.72/6.91 inference(quant_inst,[status(thm)],[])).
% 6.72/6.91 tff(1367,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), sk_c4) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), sk_c4))),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[1366, 14])).
% 6.72/6.91 tff(1368,plain,
% 6.72/6.91 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), sk_c4)) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), sk_c4)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1367])).
% 6.72/6.91 tff(1369,plain,
% 6.72/6.91 (multiply(multiply(sk_c7, sk_c8), sk_c4) = multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))),
% 6.72/6.91 inference(transitivity,[status(thm)],[425, 1330, 431])).
% 6.72/6.91 tff(1370,plain,
% 6.72/6.91 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), sk_c4)) = multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)))),
% 6.72/6.91 inference(monotonicity,[status(thm)],[1369])).
% 6.72/6.91 tff(1371,plain,
% 6.72/6.91 (multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), sk_c4))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1370])).
% 6.72/6.91 tff(1372,plain,
% 6.72/6.91 (multiply(sk_c4, multiply(sk_c8, multiply(sk_c7, sk_c4))) = multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1270])).
% 6.72/6.91 tff(1373,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4))) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c7, sk_c4))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1261])).
% 6.72/6.91 tff(1374,plain,
% 6.72/6.91 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4)) = multiply(multiply(multiply(sk_c4, sk_c8), sk_c8), multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1255])).
% 6.72/6.91 tff(1375,plain,
% 6.72/6.91 (multiply(sk_c8, multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4)) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)), sk_c4))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1253])).
% 6.72/6.91 tff(1376,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, sk_c8), sk_c4) = multiply(sk_c7, sk_c4)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1231])).
% 6.72/6.91 tff(1377,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.72/6.91 inference(monotonicity,[status(thm)],[752])).
% 6.72/6.91 tff(1378,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, inverse(sk_c7)), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)) = multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1377])).
% 6.72/6.91 tff(1379,plain,
% 6.72/6.91 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)))),
% 6.72/6.91 inference(quant_inst,[status(thm)],[])).
% 6.72/6.91 tff(1380,plain,
% 6.72/6.91 (multiply(multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[1379, 14])).
% 6.72/6.91 tff(1381,plain,
% 6.72/6.91 (multiply(sk_c4, multiply(identity, identity)) = multiply(sk_c4, identity)),
% 6.72/6.91 inference(monotonicity,[status(thm)],[281])).
% 6.72/6.91 tff(1382,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7) = multiply(sk_c4, identity)),
% 6.72/6.91 inference(transitivity,[status(thm)],[376, 558])).
% 6.72/6.91 tff(1383,plain,
% 6.72/6.91 (multiply(multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7), identity) = multiply(multiply(sk_c4, identity), identity)),
% 6.72/6.91 inference(monotonicity,[status(thm)],[1382])).
% 6.72/6.91 tff(1384,plain,
% 6.72/6.91 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7), identity) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c7, identity)))),
% 6.72/6.91 inference(quant_inst,[status(thm)],[])).
% 6.72/6.91 tff(1385,plain,
% 6.72/6.91 (multiply(multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7), identity) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c7, identity))),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[1384, 14])).
% 6.72/6.91 tff(1386,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c7, identity)) = multiply(multiply(multiply(sk_c4, inverse(sk_c7)), sk_c7), identity)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1385])).
% 6.72/6.91 tff(1387,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))) = multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c7, identity))),
% 6.72/6.91 inference(monotonicity,[status(thm)],[217])).
% 6.72/6.91 tff(1388,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))) = multiply(sk_c4, multiply(inverse(sk_c7), sk_c7))),
% 6.72/6.91 inference(transitivity,[status(thm)],[1387, 1386, 1383, 278, 1381, 557])).
% 6.72/6.91 tff(1389,plain,
% 6.72/6.91 (multiply(multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c7) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7)),
% 6.72/6.91 inference(monotonicity,[status(thm)],[1388])).
% 6.72/6.91 tff(1390,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c4, inverse(sk_c7)), multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))), sk_c7)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1389])).
% 6.72/6.91 tff(1391,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7) = multiply(multiply(sk_c4, identity), sk_c7)),
% 6.72/6.91 inference(monotonicity,[status(thm)],[558])).
% 6.72/6.91 tff(1392,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, identity), sk_c7) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1391])).
% 6.72/6.91 tff(1393,plain,
% 6.72/6.91 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, identity), sk_c7) = multiply(sk_c4, multiply(identity, sk_c7)))),
% 6.72/6.91 inference(quant_inst,[status(thm)],[])).
% 6.72/6.91 tff(1394,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, identity), sk_c7) = multiply(sk_c4, multiply(identity, sk_c7))),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[1393, 14])).
% 6.72/6.91 tff(1395,plain,
% 6.72/6.91 (multiply(sk_c4, multiply(identity, sk_c7)) = multiply(multiply(sk_c4, identity), sk_c7)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1394])).
% 6.72/6.91 tff(1396,plain,
% 6.72/6.91 (multiply(sk_c4, multiply(identity, sk_c7)) = multiply(sk_c4, sk_c7)),
% 6.72/6.91 inference(monotonicity,[status(thm)],[95])).
% 6.72/6.91 tff(1397,plain,
% 6.72/6.91 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(identity, sk_c7))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1396])).
% 6.72/6.91 tff(1398,plain,
% 6.72/6.91 (multiply(sk_c4, multiply(sk_c5, sk_c7)) = multiply(sk_c4, sk_c7)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1357])).
% 6.72/6.91 tff(1399,plain,
% 6.72/6.91 (multiply(sk_c4, multiply(identity, multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))) = multiply(sk_c4, multiply(sk_c5, sk_c7))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1355])).
% 6.72/6.91 tff(1400,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7))) = multiply(multiply(sk_c4, identity), multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1348])).
% 6.72/6.91 tff(1401,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))) = multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7)))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1345])).
% 6.72/6.91 tff(1402,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7)) = multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c7, sk_c8)), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1319])).
% 6.72/6.91 tff(1403,plain,
% 6.72/6.91 (multiply(multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1315])).
% 6.72/6.91 tff(1404,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))) = multiply(multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), sk_c8), multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7)))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1302])).
% 6.72/6.91 tff(1405,plain,
% 6.72/6.91 (multiply(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))))), multiply(sk_c8, multiply(multiply(sk_c4, sk_c8), multiply(sk_c2, sk_c7))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1300])).
% 6.72/6.91 tff(1406,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, identity)))), sk_c7)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1276])).
% 6.72/6.91 tff(1407,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(multiply(sk_c4, multiply(inverse(sk_c7), sk_c7)), sk_c8), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1224])).
% 6.72/6.91 tff(1408,plain,
% 6.72/6.91 (multiply(sk_c7, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1221])).
% 6.72/6.91 tff(1409,plain,
% 6.72/6.91 (multiply(sk_c7, multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))) = multiply(sk_c7, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1220])).
% 6.72/6.91 tff(1410,plain,
% 6.72/6.91 (multiply(multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1214])).
% 6.72/6.91 tff(1411,plain,
% 6.72/6.91 (multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(sk_c8, multiply(multiply(sk_c4, sk_c5), sk_c7)), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1209])).
% 6.72/6.91 tff(1412,plain,
% 6.72/6.91 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))) = multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c7), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1208])).
% 6.72/6.91 tff(1413,plain,
% 6.72/6.91 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c7, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1206])).
% 6.72/6.91 tff(1414,plain,
% 6.72/6.91 (multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(sk_c8, multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1205])).
% 6.72/6.91 tff(1415,plain,
% 6.72/6.91 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c4, sk_c5)), sk_c8), multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1197])).
% 6.72/6.91 tff(1416,plain,
% 6.72/6.91 (multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1193])).
% 6.72/6.91 tff(1417,plain,
% 6.72/6.91 (multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1175])).
% 6.72/6.91 tff(1418,plain,
% 6.72/6.91 (multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1161])).
% 6.72/6.91 tff(1419,plain,
% 6.72/6.91 (multiply(sk_c8, multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, sk_c8), multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7)))), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1159])).
% 6.72/6.91 tff(1420,plain,
% 6.72/6.91 (multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, inverse(sk_c7))))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1155])).
% 6.72/6.91 tff(1421,plain,
% 6.72/6.91 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(inverse(sk_c7), sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1138])).
% 6.72/6.91 tff(1422,plain,
% 6.72/6.91 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1128])).
% 6.72/6.91 tff(1423,plain,
% 6.72/6.91 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1127])).
% 6.72/6.91 tff(1424,plain,
% 6.72/6.91 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1125])).
% 6.72/6.91 tff(1425,plain,
% 6.72/6.91 (multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1123])).
% 6.72/6.91 tff(1426,plain,
% 6.72/6.91 (multiply(multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))), multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(multiply(sk_c8, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1110])).
% 6.72/6.91 tff(1427,plain,
% 6.72/6.91 (multiply(sk_c8, multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c8, multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))), multiply(sk_c8, multiply(sk_c4, sk_c5)))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1104])).
% 6.72/6.91 tff(1428,plain,
% 6.72/6.91 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c4, sk_c5))) = multiply(sk_c8, multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1102])).
% 6.72/6.91 tff(1429,plain,
% 6.72/6.91 (sk_c7 = sk_c4),
% 6.72/6.91 inference(transitivity,[status(thm)],[1021, 1027, 741, 1121, 216, 1120, 1119, 1118, 1117, 1116, 1428, 1427, 1426, 1425, 1424, 1423, 1422, 1421, 1140, 835, 1420, 1157, 1419, 1418, 1417, 1203, 1191, 1416, 1415, 1199, 1414, 1413, 1412, 1411, 1410, 1216, 1409, 1408, 1407, 1226, 1406, 1405, 1404, 1403, 1402, 1321, 1401, 1400, 1350, 1399, 1398, 1397, 1395, 1392, 1390, 1380, 1378, 376, 558, 609, 599, 1376, 1259, 1251, 1375, 1374, 1257, 1373, 1263, 1372, 1371, 1368, 1365, 1363, 535])).
% 6.72/6.91 tff(1430,plain,
% 6.72/6.91 (inverse(sk_c7) = inverse(sk_c4)),
% 6.72/6.91 inference(monotonicity,[status(thm)],[1429])).
% 6.72/6.91 tff(1431,plain,
% 6.72/6.91 (inverse(sk_c7) = sk_c7),
% 6.72/6.91 inference(transitivity,[status(thm)],[1430, 149, 37, 646, 155, 757, 196, 756, 38, 299, 713, 694, 1030, 1029, 846, 843, 731, 730, 727, 725, 723, 719, 717, 608, 605, 394, 612, 253, 251, 598])).
% 6.72/6.91 tff(1432,plain,
% 6.72/6.91 ($false),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[1431, 1360])).
% 6.72/6.91 tff(1433,plain,(~(inverse(sk_c5) = sk_c8)), inference(lemma,lemma(discharge,[]))).
% 6.72/6.91 tff(1434,plain,
% 6.72/6.91 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 6.72/6.91 inference(rewrite,[status(thm)],[])).
% 6.72/6.91 tff(1435,plain,
% 6.72/6.91 (((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 6.72/6.91 inference(rewrite,[status(thm)],[])).
% 6.72/6.91 tff(1436,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 6.72/6.91 tff(1437,plain,
% 6.72/6.91 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 6.72/6.91 inference(modus_ponens,[status(thm)],[1436, 1435])).
% 6.72/6.91 tff(1438,plain,
% 6.72/6.91 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 6.72/6.91 inference(modus_ponens,[status(thm)],[1437, 1434])).
% 6.72/6.91 tff(1439,plain,
% 6.72/6.91 (multiply(sk_c8, sk_c3) = sk_c7),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[1438, 1433])).
% 6.72/6.91 tff(1440,plain,
% 6.72/6.91 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 6.72/6.91 inference(rewrite,[status(thm)],[])).
% 6.72/6.91 tff(1441,plain,
% 6.72/6.91 (((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 6.72/6.91 inference(rewrite,[status(thm)],[])).
% 6.72/6.91 tff(1442,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_25')).
% 6.72/6.91 tff(1443,plain,
% 6.72/6.91 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 6.72/6.91 inference(modus_ponens,[status(thm)],[1442, 1441])).
% 6.72/6.91 tff(1444,plain,
% 6.72/6.91 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 6.72/6.91 inference(modus_ponens,[status(thm)],[1443, 1440])).
% 6.72/6.91 tff(1445,plain,
% 6.72/6.91 (multiply(sk_c2, sk_c8) = sk_c3),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[1444, 1433])).
% 6.72/6.91 tff(1446,plain,
% 6.72/6.91 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 6.72/6.91 inference(monotonicity,[status(thm)],[771])).
% 6.72/6.91 tff(1447,plain,
% 6.72/6.91 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c4, sk_c8))) = multiply(sk_c2, sk_c8)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1446])).
% 6.72/6.91 tff(1448,plain,
% 6.72/6.91 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c8), multiply(sk_c4, sk_c8)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c4, sk_c8))))),
% 6.72/6.91 inference(quant_inst,[status(thm)],[])).
% 6.72/6.91 tff(1449,plain,
% 6.72/6.91 (multiply(multiply(sk_c2, sk_c8), multiply(sk_c4, sk_c8)) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[1448, 14])).
% 6.72/6.91 tff(1450,plain,
% 6.72/6.91 (multiply(multiply(sk_c2, sk_c8), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c2, sk_c8), sk_c7)),
% 6.72/6.91 inference(monotonicity,[status(thm)],[598])).
% 6.72/6.91 tff(1451,plain,
% 6.72/6.91 (multiply(multiply(sk_c2, sk_c8), sk_c7) = multiply(multiply(sk_c2, sk_c8), multiply(sk_c4, sk_c8))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1450])).
% 6.72/6.91 tff(1452,plain,
% 6.72/6.91 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c8), sk_c7) = multiply(sk_c2, multiply(sk_c8, sk_c7)))),
% 6.72/6.91 inference(quant_inst,[status(thm)],[])).
% 6.72/6.91 tff(1453,plain,
% 6.72/6.91 (multiply(multiply(sk_c2, sk_c8), sk_c7) = multiply(sk_c2, multiply(sk_c8, sk_c7))),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[1452, 14])).
% 6.72/6.91 tff(1454,plain,
% 6.72/6.91 (multiply(sk_c2, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c2, sk_c8), sk_c7)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1453])).
% 6.72/6.91 tff(1455,plain,
% 6.72/6.91 (multiply(sk_c2, multiply(sk_c8, sk_c7)) = multiply(sk_c2, sk_c6)),
% 6.72/6.91 inference(monotonicity,[status(thm)],[196])).
% 6.72/6.91 tff(1456,plain,
% 6.72/6.91 (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(sk_c8, sk_c7))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1455])).
% 6.72/6.91 tff(1457,plain,
% 6.72/6.91 (multiply(identity, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c8, sk_c2), sk_c6)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1280])).
% 6.72/6.91 tff(1458,plain,
% 6.72/6.91 (multiply(sk_c8, sk_c7) = multiply(multiply(identity, sk_c8), sk_c7)),
% 6.72/6.91 inference(symmetry,[status(thm)],[774])).
% 6.72/6.91 tff(1459,plain,
% 6.72/6.91 (sk_c6 = multiply(sk_c8, multiply(sk_c2, sk_c6))),
% 6.72/6.91 inference(transitivity,[status(thm)],[197, 1458, 776, 1457, 1282])).
% 6.72/6.91 tff(1460,plain,
% 6.72/6.91 (multiply(sk_c2, sk_c6) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))),
% 6.72/6.91 inference(monotonicity,[status(thm)],[1459])).
% 6.72/6.91 tff(1461,plain,
% 6.72/6.91 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))) = multiply(sk_c2, sk_c6)),
% 6.72/6.91 inference(symmetry,[status(thm)],[1460])).
% 6.72/6.91 tff(1462,plain,
% 6.72/6.91 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))))),
% 6.72/6.91 inference(quant_inst,[status(thm)],[])).
% 6.72/6.91 tff(1463,plain,
% 6.72/6.91 (multiply(identity, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[1462, 24])).
% 6.72/6.91 tff(1464,plain,
% 6.72/6.91 (sk_c7 = multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7)),
% 6.72/6.91 inference(transitivity,[status(thm)],[724, 250, 286, 602, 393, 751, 749, 747, 744])).
% 6.72/6.91 tff(1465,plain,
% 6.72/6.91 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)), sk_c7))),
% 6.72/6.91 inference(monotonicity,[status(thm)],[1464])).
% 6.72/6.91 tff(1466,plain,
% 6.72/6.91 (identity = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.72/6.91 inference(transitivity,[status(thm)],[238, 1465, 742, 739, 95, 724, 250, 286, 602, 393, 604, 607])).
% 6.72/6.91 tff(1467,plain,
% 6.72/6.91 (multiply(identity, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))))),
% 6.72/6.91 inference(monotonicity,[status(thm)],[1466])).
% 6.72/6.91 tff(1468,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(identity, multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1467])).
% 6.72/6.91 tff(1469,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))))),
% 6.72/6.91 inference(monotonicity,[status(thm)],[722])).
% 6.72/6.91 tff(1470,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1469])).
% 6.72/6.91 tff(1471,plain,
% 6.72/6.91 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))))))),
% 6.72/6.91 inference(quant_inst,[status(thm)],[])).
% 6.72/6.91 tff(1472,plain,
% 6.72/6.91 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))))),
% 6.72/6.91 inference(unit_resolution,[status(thm)],[1471, 14])).
% 6.72/6.91 tff(1473,plain,
% 6.72/6.91 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))))) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))))),
% 6.72/6.91 inference(symmetry,[status(thm)],[1472])).
% 6.72/6.91 tff(1474,plain,
% 6.72/6.91 (multiply(sk_c8, multiply(sk_c2, sk_c6)) = multiply(sk_c8, sk_c7)),
% 6.72/6.91 inference(transitivity,[status(thm)],[1283, 1280, 777, 774])).
% 6.72/6.91 tff(1475,plain,
% 6.72/6.91 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, sk_c6))) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1474])).
% 6.72/6.92 tff(1476,plain,
% 6.72/6.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, sk_c6)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, sk_c6))))),
% 6.72/6.92 inference(quant_inst,[status(thm)],[])).
% 6.72/6.92 tff(1477,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, sk_c6)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c2, sk_c6)))),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1476, 14])).
% 6.72/6.92 tff(1478,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, sk_c6))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1461])).
% 6.72/6.92 tff(1479,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 6.72/6.92 inference(transitivity,[status(thm)],[1478, 1477, 1475])).
% 6.72/6.92 tff(1480,plain,
% 6.72/6.92 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6))))) = multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c7)))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1479])).
% 6.72/6.92 tff(1481,plain,
% 6.72/6.92 (multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c7))) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), multiply(sk_c2, multiply(sk_c8, multiply(sk_c2, sk_c6)))))),
% 6.72/6.92 inference(symmetry,[status(thm)],[1480])).
% 6.72/6.92 tff(1482,plain,
% 6.72/6.92 (multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c7))) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), sk_c7))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1036])).
% 6.72/6.92 tff(1483,plain,
% 6.72/6.92 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), sk_c7)) = multiply(sk_c4, multiply(sk_c7, multiply(sk_c8, sk_c7)))),
% 6.72/6.92 inference(symmetry,[status(thm)],[1482])).
% 6.72/6.92 tff(1484,plain,
% 6.72/6.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), sk_c7) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), sk_c7)))),
% 6.72/6.92 inference(quant_inst,[status(thm)],[])).
% 6.72/6.92 tff(1485,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), sk_c7) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c8), sk_c7))),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1484, 14])).
% 6.72/6.92 tff(1486,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c7)),
% 6.72/6.92 inference(monotonicity,[status(thm)],[721])).
% 6.72/6.92 tff(1487,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c7, sk_c8)), sk_c7)),
% 6.72/6.92 inference(symmetry,[status(thm)],[1486])).
% 6.72/6.92 tff(1488,plain,
% 6.72/6.92 (multiply(sk_c4, multiply(sk_c8, sk_c7)) = sk_c3),
% 6.72/6.92 inference(transitivity,[status(thm)],[1091, 1090, 1089, 1088, 1487, 1485, 1483, 1481, 1473, 1470, 1468, 1463, 1461, 1456, 1454, 1451, 1449, 1447, 1445])).
% 6.72/6.92 tff(1489,plain,
% 6.72/6.92 (multiply(sk_c7, multiply(sk_c8, sk_c7)) = sk_c8),
% 6.72/6.92 inference(transitivity,[status(thm)],[1036, 1083, 715, 714, 41, 39, 711, 197, 799, 156, 647, 26])).
% 6.72/6.92 tff(1490,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, sk_c7))) = multiply(sk_c8, sk_c3)),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1489, 1488])).
% 6.72/6.92 tff(1491,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, sk_c8), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, sk_c7)))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[607])).
% 6.72/6.92 tff(1492,plain,
% 6.72/6.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, sk_c8), sk_c7)))),
% 6.72/6.92 inference(quant_inst,[status(thm)],[])).
% 6.72/6.92 tff(1493,plain,
% 6.72/6.92 (multiply(multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, sk_c8), sk_c7))),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1492, 14])).
% 6.72/6.92 tff(1494,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1040])).
% 6.72/6.92 tff(1495,plain,
% 6.72/6.92 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8))),
% 6.72/6.92 inference(symmetry,[status(thm)],[1039])).
% 6.72/6.92 tff(1496,plain,
% 6.72/6.92 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))),
% 6.72/6.92 inference(transitivity,[status(thm)],[196, 756, 38, 299, 713, 694])).
% 6.72/6.92 tff(1497,plain,
% 6.72/6.92 (multiply(sk_c7, multiply(sk_c8, sk_c7)) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8)))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1496])).
% 6.72/6.92 tff(1498,plain,
% 6.72/6.92 (multiply(sk_c7, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8))),
% 6.72/6.92 inference(transitivity,[status(thm)],[1497, 1495, 1494])).
% 6.72/6.92 tff(1499,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)), sk_c7)),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1498])).
% 6.72/6.92 tff(1500,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), sk_c7)),
% 6.72/6.92 inference(monotonicity,[status(thm)],[598])).
% 6.72/6.92 tff(1501,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c7, sk_c8)) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[598, 720])).
% 6.72/6.92 tff(1502,plain,
% 6.72/6.92 (multiply(multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8), sk_c7) = multiply(sk_c8, sk_c7)),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1095])).
% 6.72/6.92 tff(1503,plain,
% 6.72/6.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8), sk_c7) = multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, sk_c7)))),
% 6.72/6.92 inference(quant_inst,[status(thm)],[])).
% 6.72/6.92 tff(1504,plain,
% 6.72/6.92 (multiply(multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8), sk_c7) = multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, sk_c7))),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1503, 14])).
% 6.72/6.92 tff(1505,plain,
% 6.72/6.92 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c8), sk_c7)),
% 6.72/6.92 inference(symmetry,[status(thm)],[1504])).
% 6.72/6.92 tff(1506,plain,
% 6.72/6.92 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c7, sk_c8)) = multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), multiply(sk_c8, sk_c7))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[835, 720])).
% 6.72/6.92 tff(1507,plain,
% 6.72/6.92 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c7, sk_c8)) = multiply(sk_c7, sk_c8)),
% 6.72/6.92 inference(transitivity,[status(thm)],[1506, 1505, 1502, 196, 756])).
% 6.72/6.92 tff(1508,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c7, sk_c8))) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c7, sk_c8))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1507])).
% 6.72/6.92 tff(1509,plain,
% 6.72/6.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c4, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c7, sk_c8))))),
% 6.72/6.92 inference(quant_inst,[status(thm)],[])).
% 6.72/6.92 tff(1510,plain,
% 6.72/6.92 (multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c4, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))), multiply(sk_c7, sk_c8)))),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1509, 14])).
% 6.72/6.92 tff(1511,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))) = multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[835])).
% 6.72/6.92 tff(1512,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))) = multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5))))))),
% 6.72/6.92 inference(symmetry,[status(thm)],[1511])).
% 6.72/6.92 tff(1513,plain,
% 6.72/6.92 (multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c7, sk_c8)) = multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, multiply(sk_c4, sk_c5)))))), multiply(sk_c7, sk_c8))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1512])).
% 6.72/6.92 tff(1514,plain,
% 6.72/6.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7), sk_c8) = multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c7, sk_c8)))),
% 6.72/6.92 inference(quant_inst,[status(thm)],[])).
% 6.72/6.92 tff(1515,plain,
% 6.72/6.92 (multiply(multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7), sk_c8) = multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), multiply(sk_c7, sk_c8))),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1514, 14])).
% 6.72/6.92 tff(1516,plain,
% 6.72/6.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7) = multiply(multiply(sk_c4, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7)))),
% 6.72/6.92 inference(quant_inst,[status(thm)],[])).
% 6.72/6.92 tff(1517,plain,
% 6.72/6.92 (multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7) = multiply(multiply(sk_c4, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7))),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1516, 14])).
% 6.72/6.92 tff(1518,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7)) = multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7)),
% 6.72/6.92 inference(symmetry,[status(thm)],[1517])).
% 6.72/6.92 tff(1519,plain,
% 6.72/6.92 (multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7) = sk_c7),
% 6.72/6.92 inference(transitivity,[status(thm)],[848, 1025, 742, 739, 95])).
% 6.72/6.92 tff(1520,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7)) = multiply(multiply(sk_c4, sk_c8), sk_c7)),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1519])).
% 6.72/6.92 tff(1521,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, sk_c8), sk_c7) = multiply(multiply(sk_c4, sk_c8), multiply(multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5))), sk_c7))),
% 6.72/6.92 inference(symmetry,[status(thm)],[1520])).
% 6.72/6.92 tff(1522,plain,
% 6.72/6.92 (multiply(sk_c4, multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7)),
% 6.72/6.92 inference(transitivity,[status(thm)],[608, 1521, 1518])).
% 6.72/6.92 tff(1523,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = multiply(multiply(multiply(multiply(sk_c4, sk_c8), multiply(inverse(sk_c7), multiply(sk_c8, multiply(sk_c4, sk_c5)))), sk_c7), sk_c8)),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1522])).
% 6.72/6.92 tff(1524,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.72/6.92 inference(transitivity,[status(thm)],[1523, 1515, 1513, 1510, 1508, 1501, 1497, 1495, 1494, 1500, 1499, 1493, 1491, 1490, 1439, 724, 250, 286, 602, 393, 604, 607])).
% 6.72/6.92 tff(1525,plain,
% 6.72/6.92 (sk_c8 = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.72/6.92 inference(transitivity,[status(thm)],[37, 646, 155, 757, 196, 756, 38, 299, 713, 694, 1030, 1035, 1497, 1495, 1494, 1500, 1499, 1493, 1491, 1490, 1439, 724, 250, 286, 602, 393, 604, 607])).
% 6.72/6.92 tff(1526,plain,
% 6.72/6.92 (multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, sk_c7)))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1525, 1524])).
% 6.72/6.92 tff(1527,plain,
% 6.72/6.92 (multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7),
% 6.72/6.92 inference(transitivity,[status(thm)],[1526, 731, 730, 727, 725, 723, 719, 717, 608, 605, 394, 603, 253, 251, 598])).
% 6.72/6.92 tff(1528,plain,
% 6.72/6.92 (multiply(identity, sk_c4) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c4)),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1466])).
% 6.72/6.92 tff(1529,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c4) = multiply(identity, sk_c4)),
% 6.72/6.92 inference(symmetry,[status(thm)],[1528])).
% 6.72/6.92 tff(1530,plain,
% 6.72/6.92 (multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7))) = multiply(sk_c4, multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[223])).
% 6.72/6.92 tff(1531,plain,
% 6.72/6.92 (multiply(sk_c4, multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7)) = multiply(sk_c4, multiply(sk_c7, multiply(inverse(sk_c7), sk_c7)))),
% 6.72/6.92 inference(symmetry,[status(thm)],[1530])).
% 6.72/6.92 tff(1532,plain,
% 6.72/6.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), sk_c7) = multiply(sk_c4, multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7)))),
% 6.72/6.92 inference(quant_inst,[status(thm)],[])).
% 6.72/6.92 tff(1533,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), sk_c7) = multiply(sk_c4, multiply(multiply(sk_c7, inverse(sk_c7)), sk_c7))),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1532, 14])).
% 6.72/6.92 tff(1534,plain,
% 6.72/6.92 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c8), multiply(sk_c4, sk_c8))) = multiply(sk_c7, multiply(sk_c8, sk_c7))),
% 6.72/6.92 inference(symmetry,[status(thm)],[1497])).
% 6.72/6.92 tff(1535,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c8)), multiply(sk_c4, sk_c8))),
% 6.72/6.92 inference(symmetry,[status(thm)],[1494])).
% 6.72/6.92 tff(1536,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8))),
% 6.72/6.92 inference(symmetry,[status(thm)],[1500])).
% 6.72/6.92 tff(1537,plain,
% 6.72/6.92 (multiply(multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), sk_c7)),
% 6.72/6.92 inference(symmetry,[status(thm)],[1499])).
% 6.72/6.92 tff(1538,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, sk_c8), sk_c7)) = multiply(multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, sk_c8)), sk_c7)),
% 6.72/6.92 inference(symmetry,[status(thm)],[1493])).
% 6.72/6.92 tff(1539,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(multiply(sk_c4, sk_c8), sk_c7))),
% 6.72/6.92 inference(symmetry,[status(thm)],[1491])).
% 6.72/6.92 tff(1540,plain,
% 6.72/6.92 (multiply(sk_c8, sk_c3) = multiply(multiply(sk_c7, multiply(sk_c8, sk_c7)), multiply(sk_c4, multiply(sk_c8, sk_c7)))),
% 6.72/6.92 inference(symmetry,[status(thm)],[1490])).
% 6.72/6.92 tff(1541,plain,
% 6.72/6.92 (sk_c7 = multiply(sk_c8, sk_c3)),
% 6.72/6.92 inference(symmetry,[status(thm)],[1439])).
% 6.72/6.92 tff(1542,plain,
% 6.72/6.92 (sk_c7 = multiply(multiply(sk_c7, sk_c8), sk_c7)),
% 6.72/6.92 inference(transitivity,[status(thm)],[1541, 1540, 1539, 1538, 1537, 1536, 1535, 1039, 1534, 1036])).
% 6.72/6.92 tff(1543,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), multiply(multiply(sk_c7, sk_c8), sk_c7))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1542])).
% 6.72/6.92 tff(1544,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), multiply(multiply(sk_c7, sk_c8), sk_c7)) = multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), sk_c7)),
% 6.72/6.92 inference(symmetry,[status(thm)],[1543])).
% 6.72/6.92 tff(1545,plain,
% 6.72/6.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c7, sk_c8)), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), multiply(multiply(sk_c7, sk_c8), sk_c7)))),
% 6.72/6.92 inference(quant_inst,[status(thm)],[])).
% 6.72/6.92 tff(1546,plain,
% 6.72/6.92 (multiply(multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c7, sk_c8)), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), multiply(multiply(sk_c7, sk_c8), sk_c7))),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1545, 14])).
% 6.72/6.92 tff(1547,plain,
% 6.72/6.92 (multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c8)) = multiply(sk_c8, sk_c7)),
% 6.72/6.92 inference(transitivity,[status(thm)],[1066, 1065, 41, 39, 711, 197])).
% 6.72/6.92 tff(1548,plain,
% 6.72/6.92 (multiply(sk_c4, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c8))) = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1547])).
% 6.72/6.92 tff(1549,plain,
% 6.72/6.92 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c7, sk_c8)) = multiply(sk_c4, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c8))))),
% 6.72/6.92 inference(quant_inst,[status(thm)],[])).
% 6.72/6.92 tff(1550,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c7, sk_c8)) = multiply(sk_c4, multiply(multiply(sk_c7, inverse(sk_c7)), multiply(sk_c7, sk_c8)))),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1549, 14])).
% 6.72/6.92 tff(1551,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c7, sk_c8)) = multiply(sk_c4, multiply(sk_c8, sk_c7))),
% 6.72/6.92 inference(transitivity,[status(thm)],[1550, 1548])).
% 6.72/6.92 tff(1552,plain,
% 6.72/6.92 (multiply(multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c7, sk_c8)), sk_c7) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c7)),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1551])).
% 6.72/6.92 tff(1553,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c4, multiply(sk_c7, inverse(sk_c7))), multiply(sk_c7, sk_c8)), sk_c7)),
% 6.72/6.92 inference(symmetry,[status(thm)],[1552])).
% 6.72/6.92 tff(1554,plain,
% 6.72/6.92 (sk_c7 = sk_c4),
% 6.72/6.92 inference(transitivity,[status(thm)],[724, 250, 286, 602, 393, 604, 607, 1091, 1090, 1089, 1088, 1553, 1546, 1544, 1533, 1531, 1371, 1368, 1365, 1529, 535])).
% 6.72/6.92 tff(1555,plain,
% 6.72/6.92 (inverse(sk_c7) = inverse(sk_c4)),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1554])).
% 6.72/6.92 tff(1556,plain,
% 6.72/6.92 (multiply(sk_c4, multiply(sk_c8, sk_c7)) = sk_c7),
% 6.72/6.92 inference(transitivity,[status(thm)],[608, 605, 394, 603, 253, 251, 598])).
% 6.72/6.92 tff(1557,plain,
% 6.72/6.92 (inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = inverse(sk_c7)),
% 6.72/6.92 inference(monotonicity,[status(thm)],[1556])).
% 6.72/6.92 tff(1558,plain,
% 6.72/6.92 (inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8),
% 6.72/6.92 inference(transitivity,[status(thm)],[1557, 1555, 149])).
% 6.72/6.92 tff(1559,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c6),
% 6.72/6.92 inference(transitivity,[status(thm)],[1523, 1515, 1513, 1510, 1508, 1501, 1036, 1083, 715, 714, 41, 39, 711])).
% 6.72/6.92 tff(1560,plain,
% 6.72/6.92 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c7),
% 6.72/6.92 inference(transitivity,[status(thm)],[1523, 1515, 1513, 1510, 1508, 1501, 1497, 1495, 1494, 1500, 1499, 1493, 1491, 1490, 1439])).
% 6.72/6.92 tff(1561,plain,
% 6.72/6.92 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c8))),
% 6.72/6.92 inference(rewrite,[status(thm)],[])).
% 6.72/6.92 tff(1562,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 6.72/6.92 tff(1563,plain,
% 6.72/6.92 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 6.72/6.92 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 6.72/6.92 tff(1564,plain,
% 6.72/6.92 (inverse(sk_c1) = sk_c7),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1563, 1433])).
% 6.72/6.92 tff(1565,plain,
% 6.72/6.92 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 6.72/6.92 inference(rewrite,[status(thm)],[])).
% 6.72/6.92 tff(1566,plain,
% 6.72/6.92 (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 6.72/6.92 inference(rewrite,[status(thm)],[])).
% 6.72/6.92 tff(1567,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 6.72/6.92 tff(1568,plain,
% 6.72/6.92 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 6.72/6.92 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 6.72/6.92 tff(1569,plain,
% 6.72/6.92 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 6.72/6.92 inference(modus_ponens,[status(thm)],[1568, 1565])).
% 6.72/6.92 tff(1570,plain,
% 6.72/6.92 (multiply(sk_c1, sk_c7) = sk_c8),
% 6.72/6.92 inference(unit_resolution,[status(thm)],[1569, 1433])).
% 6.72/6.92 tff(1571,plain,
% 6.72/6.92 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c6)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c6)))),
% 6.72/6.92 inference(rewrite,[status(thm)],[])).
% 6.72/6.92 tff(1572,plain,
% 6.72/6.92 (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c6)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c6)))),
% 6.72/6.93 inference(rewrite,[status(thm)],[])).
% 6.72/6.93 tff(1573,plain,
% 6.72/6.93 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c6)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c6))))),
% 6.72/6.93 inference(monotonicity,[status(thm)],[1572])).
% 6.72/6.93 tff(1574,plain,
% 6.72/6.93 (((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c6)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7)))) <=> ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c6)))),
% 6.72/6.93 inference(transitivity,[status(thm)],[1573, 1571])).
% 6.72/6.94 tff(1575,plain,
% 6.72/6.94 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c6)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7)))),
% 6.72/6.94 inference(quant_inst,[status(thm)],[])).
% 6.72/6.94 tff(1576,plain,
% 6.72/6.94 ((~![X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c6)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(X5, sk_c8)) = sk_c7)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c7) = sk_c6)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8) = sk_c6))),
% 6.72/6.94 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 6.72/6.94 tff(1577,plain,
% 6.72/6.94 ((~(multiply(sk_c8, multiply(multiply(sk_c4, multiply(sk_c8, sk_c7)), sk_c8)) = sk_c7)) | (~(inverse(multiply(sk_c4, multiply(sk_c8, sk_c7))) = sk_c8))),
% 6.72/6.94 inference(unit_resolution,[status(thm)],[1576, 711, 196, 1570, 1564, 140, 1560, 1559])).
% 6.72/6.94 tff(1578,plain,
% 6.72/6.94 ($false),
% 6.72/6.94 inference(unit_resolution,[status(thm)],[1577, 1558, 1527])).
% 6.72/6.94 % SZS output end Proof
% 6.72/6.94 % E exiting
%------------------------------------------------------------------------------