%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP301-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 05:07:35 AM UTC 2025
% Result : Unsatisfiable 0.76s 0.93s
% Output : Proof 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP301-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 19 15:54:50 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.76/0.93 % SZS status Unsatisfiable
% 0.76/0.93 % SZS output start Proof
% 0.76/0.93 tff(sk_c5_type, type, (
% 0.76/0.93 sk_c5: $i)).
% 0.76/0.93 tff(multiply_type, type, (
% 0.76/0.93 multiply: ( $i * $i ) > $i)).
% 0.76/0.93 tff(sk_c6_type, type, (
% 0.76/0.93 sk_c6: $i)).
% 0.76/0.93 tff(sk_c2_type, type, (
% 0.76/0.93 sk_c2: $i)).
% 0.76/0.93 tff(sk_c7_type, type, (
% 0.76/0.93 sk_c7: $i)).
% 0.76/0.93 tff(sk_c4_type, type, (
% 0.76/0.93 sk_c4: $i)).
% 0.76/0.93 tff(sk_c3_type, type, (
% 0.76/0.93 sk_c3: $i)).
% 0.76/0.93 tff(sk_c1_type, type, (
% 0.76/0.93 sk_c1: $i)).
% 0.76/0.93 tff(identity_type, type, (
% 0.76/0.93 identity: $i)).
% 0.76/0.93 tff(inverse_type, type, (
% 0.76/0.93 inverse: $i > $i)).
% 0.76/0.93 tff(1,assumption,(~(multiply(sk_c7, sk_c6) = sk_c5)), introduced(assumption)).
% 0.76/0.93 tff(2,plain,
% 0.76/0.93 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 0.76/0.93 inference(rewrite,[status(thm)],[])).
% 0.76/0.93 tff(3,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_1')).
% 0.76/0.93 tff(4,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.76/0.93 tff(5,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[4, 2])).
% 0.76/0.93 tff(6,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.76/0.93 tff(7,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.76/0.93 tff(8,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[7, 2])).
% 0.76/0.93 tff(9,plain,
% 0.76/0.93 (multiply(sk_c6, sk_c7) = sk_c5),
% 0.76/0.93 inference(unit_resolution,[status(thm)],[8, 1])).
% 0.76/0.93 tff(10,plain,
% 0.76/0.93 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 0.76/0.93 inference(rewrite,[status(thm)],[])).
% 0.76/0.93 tff(11,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 0.76/0.93 tff(12,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.76/0.93 tff(13,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[12, 10])).
% 0.76/0.93 tff(14,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[13, 10])).
% 0.76/0.93 tff(15,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.76/0.93 tff(16,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[15, 10])).
% 0.76/0.93 tff(17,plain,
% 0.76/0.93 (multiply(sk_c4, sk_c5) = sk_c6),
% 0.76/0.93 inference(unit_resolution,[status(thm)],[16, 1])).
% 0.76/0.93 tff(18,plain,
% 0.76/0.93 (multiply(sk_c4, multiply(sk_c6, sk_c7)) = multiply(sk_c4, sk_c5)),
% 0.76/0.93 inference(monotonicity,[status(thm)],[9])).
% 0.76/0.93 tff(19,plain,
% 0.76/0.93 (^[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))))),
% 0.76/0.93 inference(bind,[status(th)],[])).
% 0.76/0.93 tff(20,plain,
% 0.76/0.93 (![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)))),
% 0.76/0.93 inference(quant_intro,[status(thm)],[19])).
% 0.76/0.93 tff(21,plain,
% 0.76/0.93 (![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)))),
% 0.76/0.93 inference(rewrite,[status(thm)],[])).
% 0.76/0.93 tff(22,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','associativity')).
% 0.76/0.93 tff(23,plain,
% 0.76/0.93 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.76/0.93 tff(24,plain,(
% 0.76/0.93 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.76/0.93 inference(skolemize,[status(sab)],[23])).
% 0.76/0.93 tff(25,plain,
% 0.76/0.93 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.76/0.93 tff(26,plain,
% 0.76/0.93 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c6), sk_c7) = multiply(sk_c4, multiply(sk_c6, sk_c7)))),
% 0.76/0.93 inference(quant_inst,[status(thm)],[])).
% 0.76/0.93 tff(27,plain,
% 0.76/0.93 (multiply(multiply(sk_c4, sk_c6), sk_c7) = multiply(sk_c4, multiply(sk_c6, sk_c7))),
% 0.76/0.93 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.76/0.93 tff(28,plain,
% 0.76/0.93 (multiply(multiply(sk_c4, sk_c6), sk_c7) = sk_c6),
% 0.76/0.93 inference(transitivity,[status(thm)],[27, 18, 17])).
% 0.76/0.93 tff(29,plain,
% 0.76/0.93 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.76/0.93 inference(monotonicity,[status(thm)],[28])).
% 0.76/0.93 tff(30,plain,
% 0.76/0.93 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c7) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c7)))),
% 0.76/0.93 inference(quant_inst,[status(thm)],[])).
% 0.76/0.93 tff(31,plain,
% 0.76/0.93 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c7) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c7))),
% 0.76/0.93 inference(unit_resolution,[status(thm)],[30, 25])).
% 0.76/0.93 tff(32,plain,
% 0.76/0.93 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c7)),
% 0.76/0.93 inference(symmetry,[status(thm)],[31])).
% 0.76/0.93 tff(33,assumption,(~(multiply(sk_c3, sk_c6) = sk_c7)), introduced(assumption)).
% 0.76/0.93 tff(34,plain,
% 0.76/0.93 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 0.76/0.93 inference(rewrite,[status(thm)],[])).
% 0.76/0.93 tff(35,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_3')).
% 0.76/0.93 tff(36,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.76/0.93 tff(37,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[36, 34])).
% 0.76/0.93 tff(38,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[37, 34])).
% 0.76/0.93 tff(39,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.76/0.93 tff(40,plain,
% 0.76/0.93 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[39, 34])).
% 0.76/0.93 tff(41,plain,
% 0.76/0.93 (multiply(sk_c7, sk_c6) = sk_c5),
% 0.76/0.93 inference(unit_resolution,[status(thm)],[40, 33])).
% 0.76/0.93 tff(42,plain,
% 0.76/0.93 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 0.76/0.93 inference(rewrite,[status(thm)],[])).
% 0.76/0.93 tff(43,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_8')).
% 0.76/0.93 tff(44,plain,
% 0.76/0.93 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.76/0.93 tff(45,plain,
% 0.76/0.93 (multiply(sk_c1, sk_c7) = sk_c6),
% 0.76/0.93 inference(unit_resolution,[status(thm)],[44, 33])).
% 0.76/0.93 tff(46,plain,
% 0.76/0.93 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 0.76/0.93 inference(monotonicity,[status(thm)],[45])).
% 0.76/0.93 tff(47,plain,
% 0.76/0.93 ((~![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)))),
% 0.76/0.93 inference(quant_inst,[status(thm)],[])).
% 0.76/0.93 tff(48,plain,
% 0.76/0.93 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.76/0.93 inference(unit_resolution,[status(thm)],[47, 25])).
% 0.76/0.93 tff(49,plain,
% 0.76/0.93 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 0.76/0.93 inference(rewrite,[status(thm)],[])).
% 0.76/0.93 tff(50,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_13')).
% 0.76/0.93 tff(51,plain,
% 0.76/0.93 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.76/0.93 tff(52,plain,
% 0.76/0.93 (inverse(sk_c1) = sk_c7),
% 0.76/0.93 inference(unit_resolution,[status(thm)],[51, 33])).
% 0.76/0.93 tff(53,plain,
% 0.76/0.93 (sk_c7 = inverse(sk_c1)),
% 0.76/0.93 inference(symmetry,[status(thm)],[52])).
% 0.76/0.93 tff(54,plain,
% 0.76/0.93 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.76/0.93 inference(monotonicity,[status(thm)],[53])).
% 0.76/0.93 tff(55,plain,
% 0.76/0.93 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 0.76/0.93 inference(symmetry,[status(thm)],[54])).
% 0.76/0.93 tff(56,plain,
% 0.76/0.93 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 0.76/0.93 inference(bind,[status(th)],[])).
% 0.76/0.93 tff(57,plain,
% 0.76/0.93 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.76/0.93 inference(quant_intro,[status(thm)],[56])).
% 0.76/0.93 tff(58,plain,
% 0.76/0.93 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.76/0.93 inference(rewrite,[status(thm)],[])).
% 0.76/0.93 tff(59,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 0.76/0.93 tff(60,plain,
% 0.76/0.93 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.76/0.93 tff(61,plain,(
% 0.76/0.93 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.76/0.93 inference(skolemize,[status(sab)],[60])).
% 0.76/0.93 tff(62,plain,
% 0.76/0.93 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.76/0.93 tff(63,plain,
% 0.76/0.93 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 0.76/0.93 inference(quant_inst,[status(thm)],[])).
% 0.76/0.93 tff(64,plain,
% 0.76/0.93 (multiply(inverse(sk_c1), sk_c1) = identity),
% 0.76/0.93 inference(unit_resolution,[status(thm)],[63, 62])).
% 0.76/0.93 tff(65,plain,
% 0.76/0.93 (identity = multiply(inverse(sk_c1), sk_c1)),
% 0.76/0.93 inference(symmetry,[status(thm)],[64])).
% 0.76/0.93 tff(66,plain,
% 0.76/0.93 (identity = multiply(sk_c7, sk_c1)),
% 0.76/0.93 inference(transitivity,[status(thm)],[65, 55])).
% 0.76/0.93 tff(67,plain,
% 0.76/0.93 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.76/0.93 inference(monotonicity,[status(thm)],[66])).
% 0.76/0.93 tff(68,plain,
% 0.76/0.93 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 0.76/0.93 inference(bind,[status(th)],[])).
% 0.76/0.93 tff(69,plain,
% 0.76/0.93 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.76/0.93 inference(quant_intro,[status(thm)],[68])).
% 0.76/0.93 tff(70,plain,
% 0.76/0.93 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.76/0.93 inference(rewrite,[status(thm)],[])).
% 0.76/0.93 tff(71,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 0.76/0.93 tff(72,plain,
% 0.76/0.93 (![X: $i] : (multiply(identity, X) = X)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.76/0.93 tff(73,plain,(
% 0.76/0.93 ![X: $i] : (multiply(identity, X) = X)),
% 0.76/0.93 inference(skolemize,[status(sab)],[72])).
% 0.76/0.93 tff(74,plain,
% 0.76/0.93 (![X: $i] : (multiply(identity, X) = X)),
% 0.76/0.93 inference(modus_ponens,[status(thm)],[73, 69])).
% 0.76/0.93 tff(75,plain,
% 0.76/0.93 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 0.76/0.93 inference(quant_inst,[status(thm)],[])).
% 0.76/0.93 tff(76,plain,
% 0.76/0.93 (multiply(identity, sk_c7) = sk_c7),
% 0.76/0.93 inference(unit_resolution,[status(thm)],[75, 74])).
% 0.76/0.93 tff(77,plain,
% 0.76/0.93 (sk_c7 = multiply(identity, sk_c7)),
% 0.76/0.93 inference(symmetry,[status(thm)],[76])).
% 0.76/0.93 tff(78,plain,
% 0.76/0.93 (sk_c7 = sk_c5),
% 0.76/0.93 inference(transitivity,[status(thm)],[77, 67, 48, 46, 41])).
% 0.76/0.93 tff(79,plain,
% 0.76/0.93 ((multiply(sk_c1, sk_c6) = sk_c7) <=> (multiply(sk_c1, sk_c6) = sk_c5)),
% 0.76/0.93 inference(monotonicity,[status(thm)],[78])).
% 0.76/0.93 tff(80,plain,
% 0.76/0.93 ((~(multiply(sk_c1, sk_c6) = sk_c7)) <=> (~(multiply(sk_c1, sk_c6) = sk_c5))),
% 0.76/0.93 inference(monotonicity,[status(thm)],[79])).
% 0.76/0.94 tff(81,plain,
% 0.76/0.94 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c5)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[78])).
% 0.76/0.94 tff(82,plain,
% 0.76/0.94 (multiply(sk_c7, sk_c5) = multiply(sk_c7, sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[81])).
% 0.76/0.94 tff(83,plain,
% 0.76/0.94 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(84,plain,
% 0.76/0.94 (multiply(inverse(sk_c2), sk_c2) = identity),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[83, 62])).
% 0.76/0.94 tff(85,plain,
% 0.76/0.94 (((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 0.76/0.94 inference(rewrite,[status(thm)],[])).
% 0.76/0.94 tff(86,axiom,((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_28')).
% 0.76/0.94 tff(87,plain,
% 0.76/0.94 ((inverse(sk_c2) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.76/0.94 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.76/0.94 tff(88,plain,
% 0.76/0.94 (inverse(sk_c2) = sk_c6),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[87, 33])).
% 0.76/0.94 tff(89,plain,
% 0.76/0.94 (sk_c6 = inverse(sk_c2)),
% 0.76/0.94 inference(symmetry,[status(thm)],[88])).
% 0.76/0.94 tff(90,plain,
% 0.76/0.94 (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[89])).
% 0.76/0.94 tff(91,plain,
% 0.76/0.94 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c1)),
% 0.76/0.94 inference(transitivity,[status(thm)],[90, 84, 65, 55])).
% 0.76/0.94 tff(92,plain,
% 0.76/0.94 (multiply(multiply(sk_c6, sk_c2), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[91])).
% 0.76/0.94 tff(93,plain,
% 0.76/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), sk_c7) = multiply(sk_c6, multiply(sk_c2, sk_c7)))),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(94,plain,
% 0.76/0.94 (multiply(multiply(sk_c6, sk_c2), sk_c7) = multiply(sk_c6, multiply(sk_c2, sk_c7))),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[93, 25])).
% 0.76/0.94 tff(95,plain,
% 0.76/0.94 (multiply(sk_c6, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, sk_c2), sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[94])).
% 0.76/0.94 tff(96,plain,
% 0.76/0.94 (multiply(sk_c2, sk_c7) = multiply(sk_c2, sk_c5)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[78])).
% 0.76/0.94 tff(97,plain,
% 0.76/0.94 (multiply(sk_c2, sk_c5) = multiply(sk_c2, sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[96])).
% 0.76/0.94 tff(98,plain,
% 0.76/0.94 (multiply(sk_c6, multiply(sk_c2, sk_c5)) = multiply(sk_c6, multiply(sk_c2, sk_c7))),
% 0.76/0.94 inference(monotonicity,[status(thm)],[97])).
% 0.76/0.94 tff(99,plain,
% 0.76/0.94 (multiply(sk_c6, multiply(sk_c2, sk_c5)) = sk_c5),
% 0.76/0.94 inference(transitivity,[status(thm)],[98, 95, 92, 48, 46, 41])).
% 0.76/0.94 tff(100,plain,
% 0.76/0.94 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[67])).
% 0.76/0.94 tff(101,plain,
% 0.76/0.94 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[48])).
% 0.76/0.94 tff(102,plain,
% 0.76/0.94 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.76/0.94 inference(symmetry,[status(thm)],[46])).
% 0.76/0.94 tff(103,plain,
% 0.76/0.94 (sk_c5 = multiply(sk_c7, sk_c6)),
% 0.76/0.94 inference(symmetry,[status(thm)],[41])).
% 0.76/0.94 tff(104,plain,
% 0.76/0.94 (sk_c5 = sk_c7),
% 0.76/0.94 inference(transitivity,[status(thm)],[103, 102, 101, 100, 76])).
% 0.76/0.94 tff(105,plain,
% 0.76/0.94 (multiply(sk_c5, multiply(sk_c6, multiply(sk_c2, sk_c5))) = multiply(sk_c7, sk_c5)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[104, 99])).
% 0.76/0.94 tff(106,plain,
% 0.76/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), multiply(sk_c2, sk_c5)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c2, sk_c5))))),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(107,plain,
% 0.76/0.94 (multiply(multiply(sk_c5, sk_c6), multiply(sk_c2, sk_c5)) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c2, sk_c5)))),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[106, 25])).
% 0.76/0.94 tff(108,plain,
% 0.76/0.94 (multiply(sk_c5, sk_c6) = multiply(sk_c7, sk_c6)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[104])).
% 0.76/0.94 tff(109,plain,
% 0.76/0.94 (multiply(sk_c7, sk_c6) = multiply(sk_c5, sk_c6)),
% 0.76/0.94 inference(symmetry,[status(thm)],[108])).
% 0.76/0.94 tff(110,plain,
% 0.76/0.94 (sk_c5 = multiply(sk_c5, sk_c6)),
% 0.76/0.94 inference(transitivity,[status(thm)],[103, 109])).
% 0.76/0.94 tff(111,plain,
% 0.76/0.94 (multiply(sk_c5, multiply(sk_c2, sk_c5)) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c2, sk_c5))),
% 0.76/0.94 inference(monotonicity,[status(thm)],[110])).
% 0.76/0.94 tff(112,plain,
% 0.76/0.94 (((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 0.76/0.94 inference(rewrite,[status(thm)],[])).
% 0.76/0.94 tff(113,axiom,((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_23')).
% 0.76/0.94 tff(114,plain,
% 0.76/0.94 ((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.76/0.94 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.76/0.94 tff(115,plain,
% 0.76/0.94 (multiply(sk_c2, sk_c6) = sk_c5),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[114, 33])).
% 0.76/0.94 tff(116,plain,
% 0.76/0.94 (multiply(multiply(sk_c2, sk_c6), multiply(sk_c2, sk_c5)) = multiply(sk_c5, multiply(sk_c2, sk_c5))),
% 0.76/0.94 inference(monotonicity,[status(thm)],[115])).
% 0.76/0.94 tff(117,plain,
% 0.76/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c6), multiply(sk_c2, sk_c5)) = multiply(sk_c2, multiply(sk_c6, multiply(sk_c2, sk_c5))))),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(118,plain,
% 0.76/0.94 (multiply(multiply(sk_c2, sk_c6), multiply(sk_c2, sk_c5)) = multiply(sk_c2, multiply(sk_c6, multiply(sk_c2, sk_c5)))),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[117, 25])).
% 0.76/0.94 tff(119,plain,
% 0.76/0.94 (multiply(sk_c2, multiply(sk_c6, multiply(sk_c2, sk_c5))) = multiply(multiply(sk_c2, sk_c6), multiply(sk_c2, sk_c5))),
% 0.76/0.94 inference(symmetry,[status(thm)],[118])).
% 0.76/0.94 tff(120,plain,
% 0.76/0.94 (multiply(sk_c6, multiply(sk_c2, sk_c7)) = multiply(sk_c6, multiply(sk_c2, sk_c5))),
% 0.76/0.94 inference(symmetry,[status(thm)],[98])).
% 0.76/0.94 tff(121,plain,
% 0.76/0.94 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c6, sk_c2), sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[92])).
% 0.76/0.94 tff(122,plain,
% 0.76/0.94 (sk_c5 = multiply(sk_c6, multiply(sk_c2, sk_c5))),
% 0.76/0.94 inference(transitivity,[status(thm)],[103, 102, 101, 121, 94, 120])).
% 0.76/0.94 tff(123,plain,
% 0.76/0.94 (multiply(sk_c2, sk_c5) = multiply(sk_c2, multiply(sk_c6, multiply(sk_c2, sk_c5)))),
% 0.76/0.94 inference(monotonicity,[status(thm)],[122])).
% 0.76/0.94 tff(124,plain,
% 0.76/0.94 (multiply(sk_c2, sk_c5) = multiply(sk_c7, sk_c7)),
% 0.76/0.94 inference(transitivity,[status(thm)],[123, 119, 116, 111, 107, 105, 82])).
% 0.76/0.94 tff(125,plain,
% 0.76/0.94 ((multiply(sk_c2, sk_c5) = sk_c6) <=> (multiply(sk_c7, sk_c7) = sk_c6)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[124])).
% 0.76/0.94 tff(126,plain,
% 0.76/0.94 ((multiply(sk_c7, sk_c7) = sk_c6) <=> (multiply(sk_c2, sk_c5) = sk_c6)),
% 0.76/0.94 inference(symmetry,[status(thm)],[125])).
% 0.76/0.94 tff(127,plain,
% 0.76/0.94 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c5)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[78])).
% 0.76/0.94 tff(128,plain,
% 0.76/0.94 (multiply(sk_c1, sk_c5) = multiply(sk_c1, sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[127])).
% 0.76/0.94 tff(129,plain,
% 0.76/0.94 (sk_c7 = multiply(sk_c5, sk_c6)),
% 0.76/0.94 inference(transitivity,[status(thm)],[77, 67, 48, 46, 109])).
% 0.76/0.94 tff(130,plain,
% 0.76/0.94 (multiply(sk_c7, sk_c2) = multiply(multiply(sk_c5, sk_c6), sk_c2)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[129])).
% 0.76/0.94 tff(131,plain,
% 0.76/0.94 (multiply(multiply(sk_c5, sk_c6), sk_c2) = multiply(sk_c7, sk_c2)),
% 0.76/0.94 inference(symmetry,[status(thm)],[130])).
% 0.76/0.94 tff(132,plain,
% 0.76/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c2) = multiply(sk_c5, multiply(sk_c6, sk_c2)))),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(133,plain,
% 0.76/0.94 (multiply(multiply(sk_c5, sk_c6), sk_c2) = multiply(sk_c5, multiply(sk_c6, sk_c2))),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[132, 25])).
% 0.76/0.94 tff(134,plain,
% 0.76/0.94 (multiply(sk_c5, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c5, sk_c6), sk_c2)),
% 0.76/0.94 inference(symmetry,[status(thm)],[133])).
% 0.76/0.94 tff(135,plain,
% 0.76/0.94 (((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 0.76/0.94 inference(rewrite,[status(thm)],[])).
% 0.76/0.94 tff(136,axiom,((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_18')).
% 0.76/0.94 tff(137,plain,
% 0.76/0.94 ((inverse(sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 0.76/0.94 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.76/0.94 tff(138,plain,
% 0.76/0.94 (inverse(sk_c7) = sk_c5),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[137, 33])).
% 0.76/0.94 tff(139,plain,
% 0.76/0.94 (sk_c5 = inverse(sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[138])).
% 0.76/0.94 tff(140,plain,
% 0.76/0.94 (sk_c7 = inverse(sk_c7)),
% 0.76/0.94 inference(transitivity,[status(thm)],[77, 67, 48, 46, 41, 139])).
% 0.76/0.94 tff(141,plain,
% 0.76/0.94 (multiply(sk_c7, sk_c5) = multiply(inverse(sk_c7), sk_c7)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[140, 104])).
% 0.76/0.94 tff(142,plain,
% 0.76/0.94 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c7, sk_c5)),
% 0.76/0.94 inference(symmetry,[status(thm)],[141])).
% 0.76/0.94 tff(143,plain,
% 0.76/0.94 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(144,plain,
% 0.76/0.94 (multiply(inverse(sk_c7), sk_c7) = identity),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[143, 62])).
% 0.76/0.94 tff(145,plain,
% 0.76/0.94 (identity = multiply(inverse(sk_c7), sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[144])).
% 0.76/0.94 tff(146,plain,
% 0.76/0.94 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c7)),
% 0.76/0.94 inference(transitivity,[status(thm)],[90, 84, 145, 142, 82])).
% 0.76/0.94 tff(147,plain,
% 0.76/0.94 (multiply(sk_c5, multiply(sk_c6, sk_c2)) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 0.76/0.94 inference(monotonicity,[status(thm)],[146])).
% 0.76/0.94 tff(148,plain,
% 0.76/0.94 (multiply(sk_c5, multiply(sk_c7, sk_c7)) = multiply(sk_c5, multiply(sk_c6, sk_c2))),
% 0.76/0.94 inference(symmetry,[status(thm)],[147])).
% 0.76/0.94 tff(149,plain,
% 0.76/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c7, sk_c7)))),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(150,plain,
% 0.76/0.94 (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[149, 25])).
% 0.76/0.94 tff(151,plain,
% 0.76/0.94 (multiply(sk_c5, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[139])).
% 0.76/0.94 tff(152,plain,
% 0.76/0.94 (multiply(sk_c5, sk_c7) = multiply(sk_c7, sk_c1)),
% 0.76/0.94 inference(transitivity,[status(thm)],[151, 144, 65, 55])).
% 0.76/0.94 tff(153,plain,
% 0.76/0.94 (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[152])).
% 0.76/0.94 tff(154,plain,
% 0.76/0.94 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c5, sk_c7), sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[153])).
% 0.76/0.94 tff(155,plain,
% 0.76/0.94 (sk_c5 = multiply(sk_c7, sk_c2)),
% 0.76/0.94 inference(transitivity,[status(thm)],[103, 102, 101, 154, 150, 148, 134, 131])).
% 0.76/0.94 tff(156,plain,
% 0.76/0.94 (multiply(sk_c1, sk_c5) = multiply(sk_c1, multiply(sk_c7, sk_c2))),
% 0.76/0.94 inference(monotonicity,[status(thm)],[155])).
% 0.76/0.94 tff(157,plain,
% 0.76/0.94 (multiply(sk_c1, multiply(sk_c7, sk_c2)) = multiply(sk_c1, sk_c5)),
% 0.76/0.94 inference(symmetry,[status(thm)],[156])).
% 0.76/0.94 tff(158,plain,
% 0.76/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(sk_c1, multiply(sk_c7, sk_c2)))),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(159,plain,
% 0.76/0.94 (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(sk_c1, multiply(sk_c7, sk_c2))),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[158, 25])).
% 0.76/0.94 tff(160,plain,
% 0.76/0.94 (multiply(sk_c1, sk_c7) = inverse(sk_c2)),
% 0.76/0.94 inference(transitivity,[status(thm)],[45, 89])).
% 0.76/0.94 tff(161,plain,
% 0.76/0.94 (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[160])).
% 0.76/0.94 tff(162,plain,
% 0.76/0.94 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c1, sk_c7), sk_c2)),
% 0.76/0.94 inference(symmetry,[status(thm)],[161])).
% 0.76/0.94 tff(163,plain,
% 0.76/0.94 (identity = multiply(inverse(sk_c2), sk_c2)),
% 0.76/0.94 inference(symmetry,[status(thm)],[84])).
% 0.76/0.94 tff(164,plain,
% 0.76/0.94 (multiply(sk_c7, sk_c7) = sk_c6),
% 0.76/0.94 inference(transitivity,[status(thm)],[81, 141, 144, 163, 162, 159, 157, 128, 45])).
% 0.76/0.94 tff(165,plain,
% 0.76/0.94 (multiply(sk_c2, sk_c5) = sk_c6),
% 0.76/0.94 inference(modus_ponens,[status(thm)],[164, 126])).
% 0.76/0.94 tff(166,plain,
% 0.76/0.94 (multiply(sk_c7, sk_c6) = inverse(sk_c7)),
% 0.76/0.94 inference(transitivity,[status(thm)],[41, 139])).
% 0.76/0.94 tff(167,plain,
% 0.76/0.94 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[166])).
% 0.76/0.94 tff(168,plain,
% 0.76/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7)))),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(169,plain,
% 0.76/0.94 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[168, 25])).
% 0.76/0.94 tff(170,plain,
% 0.76/0.94 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[169])).
% 0.76/0.94 tff(171,plain,
% 0.76/0.94 (sk_c5 = multiply(sk_c2, sk_c6)),
% 0.76/0.94 inference(symmetry,[status(thm)],[115])).
% 0.76/0.94 tff(172,plain,
% 0.76/0.94 (sk_c7 = multiply(sk_c2, sk_c6)),
% 0.76/0.94 inference(transitivity,[status(thm)],[77, 67, 48, 46, 41, 171])).
% 0.76/0.94 tff(173,plain,
% 0.76/0.94 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 0.76/0.94 inference(monotonicity,[status(thm)],[172])).
% 0.76/0.94 tff(174,plain,
% 0.76/0.94 (multiply(sk_c6, multiply(sk_c2, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[173])).
% 0.76/0.94 tff(175,plain,
% 0.76/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(sk_c6, multiply(sk_c2, sk_c6)))),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(176,plain,
% 0.76/0.94 (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(sk_c6, multiply(sk_c2, sk_c6))),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[175, 25])).
% 0.76/0.94 tff(177,plain,
% 0.76/0.94 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c6, sk_c2)),
% 0.76/0.94 inference(symmetry,[status(thm)],[90])).
% 0.76/0.94 tff(178,plain,
% 0.76/0.94 (identity = multiply(sk_c6, sk_c2)),
% 0.76/0.94 inference(transitivity,[status(thm)],[163, 177])).
% 0.76/0.94 tff(179,plain,
% 0.76/0.94 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c2), sk_c6)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[178])).
% 0.76/0.94 tff(180,plain,
% 0.76/0.94 (multiply(identity, sk_c6) = multiply(sk_c6, sk_c7)),
% 0.76/0.94 inference(transitivity,[status(thm)],[179, 176, 174])).
% 0.76/0.94 tff(181,plain,
% 0.76/0.94 (multiply(sk_c5, multiply(identity, sk_c6)) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 0.76/0.94 inference(monotonicity,[status(thm)],[104, 180])).
% 0.76/0.94 tff(182,plain,
% 0.76/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, identity), sk_c6) = multiply(sk_c5, multiply(identity, sk_c6)))),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(183,plain,
% 0.76/0.94 (multiply(multiply(sk_c5, identity), sk_c6) = multiply(sk_c5, multiply(identity, sk_c6))),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[182, 25])).
% 0.76/0.94 tff(184,plain,
% 0.76/0.94 (identity = multiply(sk_c7, sk_c7)),
% 0.76/0.94 inference(transitivity,[status(thm)],[145, 142, 82])).
% 0.76/0.94 tff(185,plain,
% 0.76/0.94 (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 0.76/0.94 inference(monotonicity,[status(thm)],[184])).
% 0.76/0.94 tff(186,plain,
% 0.76/0.94 (multiply(sk_c5, multiply(sk_c7, sk_c7)) = multiply(sk_c5, identity)),
% 0.76/0.94 inference(symmetry,[status(thm)],[185])).
% 0.76/0.94 tff(187,plain,
% 0.76/0.94 (sk_c7 = multiply(sk_c5, identity)),
% 0.76/0.94 inference(transitivity,[status(thm)],[77, 67, 154, 150, 186])).
% 0.76/0.94 tff(188,plain,
% 0.76/0.94 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c5, identity), sk_c6)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[187])).
% 0.76/0.94 tff(189,plain,
% 0.76/0.94 (inverse(sk_c7) = multiply(sk_c7, sk_c7)),
% 0.76/0.94 inference(transitivity,[status(thm)],[138, 103, 188, 183, 181, 170, 167, 142, 82])).
% 0.76/0.94 tff(190,plain,
% 0.76/0.94 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c7) = sk_c6)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[189])).
% 0.76/0.94 tff(191,plain,
% 0.76/0.94 ((multiply(sk_c7, sk_c7) = sk_c6) <=> (inverse(sk_c7) = sk_c6)),
% 0.76/0.94 inference(symmetry,[status(thm)],[190])).
% 0.76/0.94 tff(192,plain,
% 0.76/0.94 (inverse(sk_c7) = sk_c6),
% 0.76/0.94 inference(modus_ponens,[status(thm)],[164, 191])).
% 0.76/0.94 tff(193,plain,
% 0.76/0.94 (multiply(multiply(sk_c5, identity), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.76/0.94 inference(symmetry,[status(thm)],[188])).
% 0.76/0.94 tff(194,plain,
% 0.76/0.94 (multiply(sk_c5, multiply(identity, sk_c6)) = multiply(multiply(sk_c5, identity), sk_c6)),
% 0.76/0.94 inference(symmetry,[status(thm)],[183])).
% 0.76/0.94 tff(195,plain,
% 0.76/0.94 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c5, multiply(identity, sk_c6))),
% 0.76/0.94 inference(symmetry,[status(thm)],[181])).
% 0.76/0.94 tff(196,plain,
% 0.76/0.94 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 0.76/0.94 inference(symmetry,[status(thm)],[167])).
% 0.76/0.94 tff(197,plain,
% 0.76/0.94 (multiply(sk_c5, sk_c6) = sk_c5),
% 0.76/0.94 inference(transitivity,[status(thm)],[108, 41])).
% 0.76/0.94 tff(198,plain,
% 0.76/0.94 (multiply(sk_c5, multiply(sk_c5, sk_c6)) = multiply(sk_c7, sk_c5)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[104, 197])).
% 0.76/0.94 tff(199,plain,
% 0.76/0.94 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c6)))),
% 0.76/0.94 inference(quant_inst,[status(thm)],[])).
% 0.76/0.94 tff(200,plain,
% 0.76/0.94 (multiply(multiply(sk_c5, sk_c5), sk_c6) = multiply(sk_c5, multiply(sk_c5, sk_c6))),
% 0.76/0.94 inference(unit_resolution,[status(thm)],[199, 25])).
% 0.76/0.94 tff(201,plain,
% 0.76/0.94 (multiply(sk_c5, sk_c5) = multiply(sk_c7, sk_c5)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[104])).
% 0.76/0.94 tff(202,plain,
% 0.76/0.94 (multiply(sk_c7, sk_c5) = multiply(sk_c5, sk_c5)),
% 0.76/0.94 inference(symmetry,[status(thm)],[201])).
% 0.76/0.94 tff(203,plain,
% 0.76/0.94 (multiply(sk_c6, sk_c2) = multiply(sk_c5, sk_c5)),
% 0.76/0.94 inference(transitivity,[status(thm)],[90, 84, 145, 142, 202])).
% 0.76/0.94 tff(204,plain,
% 0.76/0.94 (multiply(multiply(sk_c6, sk_c2), sk_c6) = multiply(multiply(sk_c5, sk_c5), sk_c6)),
% 0.76/0.94 inference(monotonicity,[status(thm)],[203])).
% 0.76/0.94 tff(205,plain,
% 0.76/0.94 (multiply(sk_c6, multiply(sk_c2, sk_c6)) = multiply(multiply(sk_c6, sk_c2), sk_c6)),
% 0.76/0.94 inference(symmetry,[status(thm)],[176])).
% 0.76/0.94 tff(206,plain,
% 0.76/0.94 (multiply(sk_c6, sk_c7) = sk_c5),
% 0.76/0.94 inference(transitivity,[status(thm)],[173, 205, 204, 200, 198, 141, 196, 169, 195, 194, 193, 41])).
% 0.76/0.94 tff(207,plain,
% 0.76/0.94 (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))),
% 0.76/0.94 inference(bind,[status(th)],[])).
% 0.76/0.94 tff(208,plain,
% 0.76/0.94 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 0.76/0.94 inference(quant_intro,[status(thm)],[207])).
% 0.76/0.94 tff(209,plain,
% 0.76/0.94 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 0.76/0.94 inference(rewrite,[status(thm)],[])).
% 0.76/0.94 tff(210,plain,
% 0.76/0.94 (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(sk_c7) = sk_c5))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c6) = sk_c5))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c6) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X2) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))))),
% 0.76/0.95 inference(bind,[status(th)],[])).
% 0.76/0.95 tff(211,plain,
% 0.76/0.95 (![X4: $i, X3: $i, X2: $i, X1: $i] : (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 0.76/0.95 inference(quant_intro,[status(thm)],[210])).
% 0.76/0.95 tff(212,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(inverse(sk_c7) = sk_c5))) | (~(multiply(X4, sk_c6) = sk_c5))) | (~(inverse(X4) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_31')).
% 0.76/0.95 tff(213,plain,
% 0.76/0.95 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 0.76/0.95 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.76/0.95 tff(214,plain,
% 0.76/0.95 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 0.76/0.95 inference(modus_ponens,[status(thm)],[213, 209])).
% 0.76/0.95 tff(215,plain,(
% 0.76/0.95 ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 0.76/0.95 inference(skolemize,[status(sab)],[214])).
% 0.76/0.95 tff(216,plain,
% 0.76/0.95 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 0.76/0.95 inference(modus_ponens,[status(thm)],[215, 208])).
% 0.76/0.95 tff(217,plain,
% 0.76/0.95 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)))),
% 0.76/0.95 inference(rewrite,[status(thm)],[])).
% 0.76/0.95 tff(218,plain,
% 0.76/0.95 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)))),
% 0.76/0.95 inference(rewrite,[status(thm)],[])).
% 0.76/0.95 tff(219,plain,
% 0.76/0.95 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6))))),
% 0.76/0.95 inference(monotonicity,[status(thm)],[218])).
% 0.76/0.95 tff(220,plain,
% 0.76/0.95 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)))),
% 0.76/0.95 inference(transitivity,[status(thm)],[219, 217])).
% 0.76/0.95 tff(221,plain,
% 0.76/0.95 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))),
% 0.76/0.95 inference(quant_inst,[status(thm)],[])).
% 0.76/0.95 tff(222,plain,
% 0.76/0.95 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6))),
% 0.76/0.95 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.76/0.95 tff(223,plain,
% 0.76/0.95 ((~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6))),
% 0.76/0.95 inference(unit_resolution,[status(thm)],[222, 41, 45, 52, 138, 88, 216])).
% 0.76/0.95 tff(224,plain,
% 0.76/0.95 (~(multiply(sk_c1, sk_c6) = sk_c7)),
% 0.76/0.95 inference(unit_resolution,[status(thm)],[223, 206, 192, 165])).
% 0.76/0.95 tff(225,plain,
% 0.76/0.95 (~(multiply(sk_c1, sk_c6) = sk_c5)),
% 0.76/0.95 inference(modus_ponens,[status(thm)],[224, 80])).
% 0.76/0.95 tff(226,plain,
% 0.76/0.95 (multiply(sk_c1, sk_c5) = sk_c6),
% 0.76/0.95 inference(transitivity,[status(thm)],[128, 45])).
% 0.76/0.95 tff(227,plain,
% 0.76/0.95 (multiply(multiply(sk_c1, sk_c5), sk_c5) = multiply(sk_c6, sk_c7)),
% 0.76/0.95 inference(monotonicity,[status(thm)],[226, 104])).
% 0.76/0.95 tff(228,plain,
% 0.76/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c5), sk_c5) = multiply(sk_c1, multiply(sk_c5, sk_c5)))),
% 0.76/0.95 inference(quant_inst,[status(thm)],[])).
% 0.76/0.95 tff(229,plain,
% 0.76/0.95 (multiply(multiply(sk_c1, sk_c5), sk_c5) = multiply(sk_c1, multiply(sk_c5, sk_c5))),
% 0.76/0.95 inference(unit_resolution,[status(thm)],[228, 25])).
% 0.76/0.95 tff(230,plain,
% 0.76/0.95 (multiply(sk_c1, multiply(sk_c5, sk_c5)) = multiply(multiply(sk_c1, sk_c5), sk_c5)),
% 0.76/0.95 inference(symmetry,[status(thm)],[229])).
% 0.76/0.95 tff(231,plain,
% 0.76/0.95 (identity = multiply(sk_c5, sk_c5)),
% 0.76/0.95 inference(transitivity,[status(thm)],[145, 142, 202])).
% 0.76/0.95 tff(232,plain,
% 0.76/0.95 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(sk_c5, sk_c5))),
% 0.76/0.95 inference(monotonicity,[status(thm)],[231])).
% 0.76/0.95 tff(233,plain,
% 0.76/0.95 (multiply(sk_c1, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c1, sk_c7), sk_c2)),
% 0.76/0.95 inference(symmetry,[status(thm)],[159])).
% 0.76/0.95 tff(234,plain,
% 0.76/0.95 (sk_c6 = multiply(sk_c1, sk_c7)),
% 0.76/0.95 inference(symmetry,[status(thm)],[45])).
% 0.76/0.95 tff(235,plain,
% 0.76/0.95 (sk_c6 = identity),
% 0.76/0.95 inference(transitivity,[status(thm)],[234, 127, 156, 233, 161, 84])).
% 0.76/0.95 tff(236,plain,
% 0.76/0.95 (multiply(sk_c1, sk_c6) = multiply(sk_c1, identity)),
% 0.76/0.95 inference(monotonicity,[status(thm)],[235])).
% 0.76/0.95 tff(237,plain,
% 0.76/0.95 (multiply(sk_c1, sk_c6) = sk_c5),
% 0.76/0.95 inference(transitivity,[status(thm)],[236, 232, 230, 227, 173, 205, 204, 200, 198, 141, 196, 169, 195, 194, 193, 41])).
% 0.76/0.95 tff(238,plain,
% 0.76/0.95 ($false),
% 0.76/0.95 inference(unit_resolution,[status(thm)],[237, 225])).
% 0.76/0.95 tff(239,plain,(multiply(sk_c3, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.76/0.95 tff(240,plain,
% 0.76/0.95 (sk_c7 = multiply(sk_c3, sk_c6)),
% 0.76/0.95 inference(symmetry,[status(thm)],[239])).
% 0.76/0.95 tff(241,plain,
% 0.76/0.95 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 0.76/0.95 inference(monotonicity,[status(thm)],[240])).
% 0.76/0.95 tff(242,plain,
% 0.76/0.95 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(sk_c7, sk_c7)),
% 0.76/0.95 inference(symmetry,[status(thm)],[241])).
% 0.76/0.95 tff(243,plain,
% 0.76/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c6)))),
% 0.76/0.95 inference(quant_inst,[status(thm)],[])).
% 0.76/0.95 tff(244,plain,
% 0.76/0.95 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 0.76/0.95 inference(unit_resolution,[status(thm)],[243, 25])).
% 0.76/0.95 tff(245,plain,
% 0.76/0.95 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 0.76/0.95 inference(quant_inst,[status(thm)],[])).
% 0.76/0.95 tff(246,plain,
% 0.76/0.95 (multiply(inverse(sk_c3), sk_c3) = identity),
% 0.76/0.95 inference(unit_resolution,[status(thm)],[245, 62])).
% 0.76/0.95 tff(247,plain,
% 0.76/0.95 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7))),
% 0.76/0.95 inference(rewrite,[status(thm)],[])).
% 0.76/0.95 tff(248,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 0.76/0.95 tff(249,plain,
% 0.76/0.95 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 0.76/0.95 inference(modus_ponens,[status(thm)],[248, 247])).
% 0.76/0.95 tff(250,plain,
% 0.76/0.95 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 0.76/0.95 inference(modus_ponens,[status(thm)],[249, 247])).
% 0.76/0.95 tff(251,plain,
% 0.76/0.95 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 0.76/0.95 inference(modus_ponens,[status(thm)],[250, 247])).
% 0.76/0.95 tff(252,plain,
% 0.76/0.95 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 0.76/0.95 inference(modus_ponens,[status(thm)],[251, 247])).
% 0.76/0.95 tff(253,plain,
% 0.76/0.95 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 0.76/0.95 inference(modus_ponens,[status(thm)],[252, 247])).
% 0.76/0.95 tff(254,plain,
% 0.76/0.95 (inverse(sk_c3) = sk_c7),
% 0.76/0.95 inference(unit_resolution,[status(thm)],[253, 1])).
% 0.76/0.95 tff(255,plain,
% 0.76/0.95 (sk_c7 = inverse(sk_c3)),
% 0.76/0.95 inference(symmetry,[status(thm)],[254])).
% 0.76/0.95 tff(256,plain,
% 0.76/0.95 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.76/0.95 inference(monotonicity,[status(thm)],[255])).
% 0.76/0.95 tff(257,plain,
% 0.76/0.95 (multiply(sk_c7, sk_c3) = identity),
% 0.76/0.95 inference(transitivity,[status(thm)],[256, 246])).
% 0.76/0.95 tff(258,plain,
% 0.76/0.95 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 0.76/0.95 inference(monotonicity,[status(thm)],[257])).
% 0.76/0.95 tff(259,plain,
% 0.76/0.95 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 0.76/0.95 inference(symmetry,[status(thm)],[258])).
% 0.76/0.95 tff(260,plain,
% 0.76/0.95 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 0.76/0.95 inference(quant_inst,[status(thm)],[])).
% 0.76/0.95 tff(261,plain,
% 0.76/0.95 (multiply(identity, sk_c6) = sk_c6),
% 0.76/0.95 inference(unit_resolution,[status(thm)],[260, 74])).
% 0.76/0.95 tff(262,plain,
% 0.76/0.95 (sk_c6 = multiply(identity, sk_c6)),
% 0.76/0.95 inference(symmetry,[status(thm)],[261])).
% 0.76/0.95 tff(263,plain,
% 0.76/0.95 (sk_c6 = multiply(sk_c7, sk_c7)),
% 0.76/0.95 inference(transitivity,[status(thm)],[262, 259, 244, 242])).
% 0.76/0.95 tff(264,plain,
% 0.76/0.95 (multiply(sk_c4, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c4, sk_c6), sk_c7)),
% 0.76/0.95 inference(symmetry,[status(thm)],[27])).
% 0.76/0.95 tff(265,plain,
% 0.76/0.95 (multiply(sk_c4, sk_c5) = multiply(sk_c4, multiply(sk_c6, sk_c7))),
% 0.76/0.95 inference(symmetry,[status(thm)],[18])).
% 0.76/0.95 tff(266,plain,
% 0.76/0.95 (sk_c6 = multiply(sk_c4, sk_c5)),
% 0.76/0.95 inference(symmetry,[status(thm)],[17])).
% 0.76/0.95 tff(267,plain,
% 0.76/0.95 (sk_c6 = multiply(multiply(sk_c4, sk_c6), sk_c7)),
% 0.76/0.95 inference(transitivity,[status(thm)],[266, 265, 264])).
% 0.76/0.95 tff(268,plain,
% 0.76/0.95 (multiply(sk_c4, sk_c6) = multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7))),
% 0.76/0.95 inference(monotonicity,[status(thm)],[267])).
% 0.76/0.95 tff(269,plain,
% 0.76/0.95 (multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)) = multiply(sk_c4, sk_c6)),
% 0.76/0.95 inference(symmetry,[status(thm)],[268])).
% 0.76/0.95 tff(270,plain,
% 0.76/0.95 (multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), sk_c6) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c7))),
% 0.76/0.95 inference(monotonicity,[status(thm)],[269, 263])).
% 0.76/0.95 tff(271,plain,
% 0.76/0.95 (multiply(sk_c4, multiply(sk_c4, sk_c5)) = multiply(sk_c4, sk_c6)),
% 0.76/0.95 inference(monotonicity,[status(thm)],[17])).
% 0.76/0.95 tff(272,plain,
% 0.76/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c4), sk_c5) = multiply(sk_c4, multiply(sk_c4, sk_c5)))),
% 0.76/0.95 inference(quant_inst,[status(thm)],[])).
% 0.76/0.95 tff(273,plain,
% 0.76/0.95 (multiply(multiply(sk_c4, sk_c4), sk_c5) = multiply(sk_c4, multiply(sk_c4, sk_c5))),
% 0.76/0.95 inference(unit_resolution,[status(thm)],[272, 25])).
% 0.76/0.95 tff(274,plain,
% 0.76/0.95 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.76/0.95 inference(monotonicity,[status(thm)],[239])).
% 0.76/0.95 tff(275,plain,
% 0.76/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, multiply(sk_c3, sk_c6)))),
% 0.76/0.95 inference(quant_inst,[status(thm)],[])).
% 0.76/0.95 tff(276,plain,
% 0.76/0.95 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 0.76/0.95 inference(unit_resolution,[status(thm)],[275, 25])).
% 0.76/0.95 tff(277,plain,
% 0.76/0.95 (multiply(sk_c6, sk_c3) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3)),
% 0.76/0.95 inference(monotonicity,[status(thm)],[267])).
% 0.76/0.95 tff(278,plain,
% 0.76/0.95 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3) = multiply(sk_c6, sk_c3)),
% 0.76/0.95 inference(symmetry,[status(thm)],[277])).
% 0.76/0.95 tff(279,plain,
% 0.76/0.95 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)))),
% 0.76/0.95 inference(quant_inst,[status(thm)],[])).
% 0.76/0.95 tff(280,plain,
% 0.76/0.95 (multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3) = multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))),
% 0.76/0.95 inference(unit_resolution,[status(thm)],[279, 25])).
% 0.76/0.95 tff(281,plain,
% 0.76/0.95 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)) = multiply(multiply(multiply(sk_c4, sk_c6), sk_c7), sk_c3)),
% 0.76/0.95 inference(symmetry,[status(thm)],[280])).
% 0.76/0.95 tff(282,plain,
% 0.76/0.95 (multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)) = multiply(sk_c6, sk_c3)),
% 0.76/0.95 inference(transitivity,[status(thm)],[281, 278])).
% 0.76/0.95 tff(283,plain,
% 0.76/0.95 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c6) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 0.76/0.95 inference(monotonicity,[status(thm)],[282])).
% 0.76/0.95 tff(284,plain,
% 0.76/0.95 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c6) = sk_c5),
% 0.76/0.95 inference(transitivity,[status(thm)],[283, 276, 274, 9])).
% 0.76/0.95 tff(285,plain,
% 0.76/0.95 (multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c6)) = multiply(multiply(sk_c4, sk_c4), sk_c5)),
% 0.76/0.95 inference(monotonicity,[status(thm)],[284])).
% 0.76/0.96 tff(286,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6) = multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c6)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(287,plain,
% 0.76/0.96 (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6) = multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c6))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[286, 25])).
% 0.76/0.96 tff(288,plain,
% 0.76/0.96 (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6) = multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7))),
% 0.76/0.96 inference(transitivity,[status(thm)],[287, 285, 273, 271, 268])).
% 0.76/0.96 tff(289,plain,
% 0.76/0.96 (multiply(multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6), sk_c6) = multiply(multiply(sk_c4, multiply(multiply(sk_c4, sk_c6), sk_c7)), sk_c6)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[288])).
% 0.76/0.96 tff(290,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6), sk_c6) = multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), multiply(sk_c6, sk_c6)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(291,plain,
% 0.76/0.96 (multiply(multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6), sk_c6) = multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), multiply(sk_c6, sk_c6))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[290, 25])).
% 0.76/0.96 tff(292,plain,
% 0.76/0.96 (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c6), sk_c6)),
% 0.76/0.96 inference(symmetry,[status(thm)],[291])).
% 0.76/0.96 tff(293,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[266])).
% 0.76/0.96 tff(294,plain,
% 0.76/0.96 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(sk_c6, sk_c6)),
% 0.76/0.96 inference(symmetry,[status(thm)],[293])).
% 0.76/0.96 tff(295,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c5)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(296,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[295, 25])).
% 0.76/0.96 tff(297,plain,
% 0.76/0.96 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(298,plain,
% 0.76/0.96 (multiply(inverse(sk_c4), sk_c4) = identity),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[297, 62])).
% 0.76/0.96 tff(299,plain,
% 0.76/0.96 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(300,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_4')).
% 0.76/0.96 tff(301,plain,
% 0.76/0.96 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[300, 299])).
% 0.76/0.96 tff(302,plain,
% 0.76/0.96 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[301, 299])).
% 0.76/0.96 tff(303,plain,
% 0.76/0.96 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[302, 299])).
% 0.76/0.96 tff(304,plain,
% 0.76/0.96 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[303, 299])).
% 0.76/0.96 tff(305,plain,
% 0.76/0.96 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[304, 299])).
% 0.76/0.96 tff(306,plain,
% 0.76/0.96 (inverse(sk_c4) = sk_c6),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[305, 1])).
% 0.76/0.96 tff(307,plain,
% 0.76/0.96 (sk_c6 = inverse(sk_c4)),
% 0.76/0.96 inference(symmetry,[status(thm)],[306])).
% 0.76/0.96 tff(308,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[307])).
% 0.76/0.96 tff(309,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c4) = identity),
% 0.76/0.96 inference(transitivity,[status(thm)],[308, 298])).
% 0.76/0.96 tff(310,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[309])).
% 0.76/0.96 tff(311,plain,
% 0.76/0.96 (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 0.76/0.96 inference(symmetry,[status(thm)],[310])).
% 0.76/0.96 tff(312,plain,
% 0.76/0.96 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(313,plain,
% 0.76/0.96 (multiply(identity, sk_c5) = sk_c5),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[312, 74])).
% 0.76/0.96 tff(314,plain,
% 0.76/0.96 (sk_c5 = multiply(identity, sk_c5)),
% 0.76/0.96 inference(symmetry,[status(thm)],[313])).
% 0.76/0.96 tff(315,plain,
% 0.76/0.96 (sk_c5 = multiply(sk_c6, sk_c6)),
% 0.76/0.96 inference(transitivity,[status(thm)],[314, 311, 296, 294])).
% 0.76/0.96 tff(316,plain,
% 0.76/0.96 (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c5) = multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), multiply(sk_c6, sk_c6))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[315])).
% 0.76/0.96 tff(317,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c5) = multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(318,plain,
% 0.76/0.96 (multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c5) = multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[317, 25])).
% 0.76/0.96 tff(319,plain,
% 0.76/0.96 (multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5)) = multiply(multiply(multiply(sk_c4, sk_c4), multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3))), sk_c5)),
% 0.76/0.96 inference(symmetry,[status(thm)],[318])).
% 0.76/0.96 tff(320,plain,
% 0.76/0.96 (sk_c5 = multiply(sk_c6, sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[9])).
% 0.76/0.96 tff(321,plain,
% 0.76/0.96 (multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[282, 320])).
% 0.76/0.96 tff(322,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5)),
% 0.76/0.96 inference(symmetry,[status(thm)],[321])).
% 0.76/0.96 tff(323,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(324,plain,
% 0.76/0.96 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[323, 25])).
% 0.76/0.96 tff(325,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, sk_c3), sk_c6) = sk_c5),
% 0.76/0.96 inference(transitivity,[status(thm)],[276, 274, 9])).
% 0.76/0.96 tff(326,plain,
% 0.76/0.96 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(sk_c5, sk_c7)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[325])).
% 0.76/0.96 tff(327,plain,
% 0.76/0.96 (multiply(sk_c5, sk_c7) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[326])).
% 0.76/0.96 tff(328,plain,
% 0.76/0.96 (multiply(sk_c5, sk_c7) = multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5)),
% 0.76/0.96 inference(transitivity,[status(thm)],[327, 324, 322])).
% 0.76/0.96 tff(329,plain,
% 0.76/0.96 (multiply(multiply(sk_c4, sk_c4), multiply(sk_c5, sk_c7)) = multiply(multiply(sk_c4, sk_c4), multiply(multiply(multiply(sk_c4, sk_c6), multiply(sk_c7, sk_c3)), sk_c5))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[328])).
% 0.76/0.96 tff(330,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c4), multiply(sk_c5, sk_c7)) = multiply(sk_c4, multiply(sk_c4, multiply(sk_c5, sk_c7))))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(331,plain,
% 0.76/0.96 (multiply(multiply(sk_c4, sk_c4), multiply(sk_c5, sk_c7)) = multiply(sk_c4, multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[330, 25])).
% 0.76/0.96 tff(332,plain,
% 0.76/0.96 (multiply(sk_c4, multiply(sk_c4, multiply(sk_c5, sk_c7))) = multiply(multiply(sk_c4, sk_c4), multiply(sk_c5, sk_c7))),
% 0.76/0.96 inference(symmetry,[status(thm)],[331])).
% 0.76/0.96 tff(333,plain,
% 0.76/0.96 ((~![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)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(334,plain,
% 0.76/0.96 (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c4, multiply(sk_c5, sk_c7))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[333, 25])).
% 0.76/0.96 tff(335,plain,
% 0.76/0.96 (multiply(multiply(sk_c4, sk_c5), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[17])).
% 0.76/0.96 tff(336,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c4, sk_c5), sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[335])).
% 0.76/0.96 tff(337,plain,
% 0.76/0.96 (sk_c5 = multiply(sk_c4, multiply(sk_c5, sk_c7))),
% 0.76/0.96 inference(transitivity,[status(thm)],[320, 336, 334])).
% 0.76/0.96 tff(338,plain,
% 0.76/0.96 (multiply(sk_c4, sk_c5) = multiply(sk_c4, multiply(sk_c4, multiply(sk_c5, sk_c7)))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[337])).
% 0.76/0.96 tff(339,plain,
% 0.76/0.96 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 0.76/0.96 inference(symmetry,[status(thm)],[244])).
% 0.76/0.96 tff(340,plain,
% 0.76/0.96 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[239])).
% 0.76/0.96 tff(341,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(342,plain,
% 0.76/0.96 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[341, 25])).
% 0.76/0.96 tff(343,plain,
% 0.76/0.96 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[342])).
% 0.76/0.96 tff(344,plain,
% 0.76/0.96 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[320])).
% 0.76/0.96 tff(345,plain,
% 0.76/0.96 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 0.76/0.96 inference(symmetry,[status(thm)],[296])).
% 0.76/0.96 tff(346,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c6) = sk_c5),
% 0.76/0.96 inference(transitivity,[status(thm)],[293, 345, 310, 313])).
% 0.76/0.96 tff(347,plain,
% 0.76/0.96 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, sk_c5)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[346])).
% 0.76/0.96 tff(348,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(349,plain,
% 0.76/0.96 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[348, 25])).
% 0.76/0.96 tff(350,plain,
% 0.76/0.96 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[240])).
% 0.76/0.96 tff(351,plain,
% 0.76/0.96 (multiply(sk_c7, sk_c6) = sk_c5),
% 0.76/0.96 inference(transitivity,[status(thm)],[350, 349, 347, 344, 343, 340, 241, 339, 258, 261, 266, 338, 332, 329, 319, 316, 292, 289, 270, 32, 29, 9])).
% 0.76/0.96 tff(352,plain,
% 0.76/0.96 ($false),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[1, 351])).
% 0.76/0.96 tff(353,plain,(multiply(sk_c7, sk_c6) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 0.76/0.96 tff(354,assumption,(~(multiply(sk_c6, sk_c7) = sk_c5)), introduced(assumption)).
% 0.76/0.96 tff(355,plain,
% 0.76/0.96 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(356,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 0.76/0.96 tff(357,plain,
% 0.76/0.96 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[356, 355])).
% 0.76/0.96 tff(358,plain,
% 0.76/0.96 (multiply(sk_c1, sk_c7) = sk_c6),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[357, 354])).
% 0.76/0.96 tff(359,plain,
% 0.76/0.96 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[358])).
% 0.76/0.96 tff(360,plain,
% 0.76/0.96 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(361,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 0.76/0.96 tff(362,plain,
% 0.76/0.96 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[361, 360])).
% 0.76/0.96 tff(363,plain,
% 0.76/0.96 (inverse(sk_c1) = sk_c7),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[362, 354])).
% 0.76/0.96 tff(364,plain,
% 0.76/0.96 (sk_c7 = inverse(sk_c1)),
% 0.76/0.96 inference(symmetry,[status(thm)],[363])).
% 0.76/0.96 tff(365,plain,
% 0.76/0.96 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[364])).
% 0.76/0.96 tff(366,plain,
% 0.76/0.96 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 0.76/0.96 inference(symmetry,[status(thm)],[365])).
% 0.76/0.96 tff(367,plain,
% 0.76/0.96 (((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(368,axiom,((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_26')).
% 0.76/0.96 tff(369,plain,
% 0.76/0.96 ((inverse(sk_c2) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[368, 367])).
% 0.76/0.96 tff(370,plain,
% 0.76/0.96 (inverse(sk_c2) = sk_c6),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[369, 354])).
% 0.76/0.96 tff(371,plain,
% 0.76/0.96 (sk_c6 = inverse(sk_c2)),
% 0.76/0.96 inference(symmetry,[status(thm)],[370])).
% 0.76/0.96 tff(372,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[371])).
% 0.76/0.96 tff(373,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c1)),
% 0.76/0.96 inference(transitivity,[status(thm)],[372, 84, 65, 366])).
% 0.76/0.96 tff(374,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, sk_c2), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[373])).
% 0.76/0.96 tff(375,plain,
% 0.76/0.96 (identity = multiply(sk_c7, sk_c1)),
% 0.76/0.96 inference(transitivity,[status(thm)],[65, 366])).
% 0.76/0.96 tff(376,plain,
% 0.76/0.96 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[375])).
% 0.76/0.96 tff(377,plain,
% 0.76/0.96 (sk_c7 = sk_c5),
% 0.76/0.96 inference(transitivity,[status(thm)],[77, 376, 48, 359, 353])).
% 0.76/0.96 tff(378,plain,
% 0.76/0.96 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c5)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[377])).
% 0.76/0.96 tff(379,plain,
% 0.76/0.96 (multiply(sk_c1, sk_c5) = multiply(sk_c1, sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[378])).
% 0.76/0.96 tff(380,plain,
% 0.76/0.96 (sk_c5 = multiply(sk_c7, sk_c6)),
% 0.76/0.96 inference(symmetry,[status(thm)],[353])).
% 0.76/0.96 tff(381,plain,
% 0.76/0.96 (multiply(sk_c1, sk_c5) = multiply(sk_c1, multiply(sk_c7, sk_c6))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[380])).
% 0.76/0.96 tff(382,plain,
% 0.76/0.96 (multiply(sk_c1, multiply(sk_c7, sk_c6)) = multiply(sk_c1, sk_c5)),
% 0.76/0.96 inference(symmetry,[status(thm)],[381])).
% 0.76/0.96 tff(383,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c1, multiply(sk_c7, sk_c6)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(384,plain,
% 0.76/0.96 (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c1, multiply(sk_c7, sk_c6))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[383, 25])).
% 0.76/0.96 tff(385,plain,
% 0.76/0.96 (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c6, sk_c6)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[358])).
% 0.76/0.96 tff(386,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c1, sk_c7), sk_c6)),
% 0.76/0.96 inference(symmetry,[status(thm)],[385])).
% 0.76/0.96 tff(387,plain,
% 0.76/0.96 (sk_c6 = multiply(sk_c1, sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[358])).
% 0.76/0.96 tff(388,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[387])).
% 0.76/0.96 tff(389,plain,
% 0.76/0.96 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = multiply(sk_c6, sk_c6)),
% 0.76/0.96 inference(symmetry,[status(thm)],[388])).
% 0.76/0.96 tff(390,plain,
% 0.76/0.96 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = sk_c6),
% 0.76/0.96 inference(transitivity,[status(thm)],[389, 386, 384, 382, 379, 358])).
% 0.76/0.96 tff(391,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))) = multiply(sk_c6, sk_c6)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[390, 390])).
% 0.76/0.96 tff(392,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))) = sk_c6),
% 0.76/0.96 inference(transitivity,[status(thm)],[391, 386, 384, 382, 379, 358])).
% 0.76/0.96 tff(393,plain,
% 0.76/0.96 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c2, sk_c7)) = multiply(sk_c6, multiply(sk_c2, sk_c7))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[392])).
% 0.76/0.96 tff(394,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7))))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(395,plain,
% 0.76/0.96 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7)))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[394, 25])).
% 0.76/0.96 tff(396,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c6, multiply(sk_c1, sk_c7))), multiply(sk_c2, sk_c7))),
% 0.76/0.96 inference(symmetry,[status(thm)],[395])).
% 0.76/0.96 tff(397,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7)) = multiply(sk_c6, multiply(sk_c2, sk_c7))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[390])).
% 0.76/0.96 tff(398,plain,
% 0.76/0.96 (multiply(sk_c6, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7))),
% 0.76/0.96 inference(symmetry,[status(thm)],[397])).
% 0.76/0.96 tff(399,plain,
% 0.76/0.96 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c6, sk_c2), sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[374])).
% 0.76/0.96 tff(400,plain,
% 0.76/0.96 (sk_c7 = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7))),
% 0.76/0.96 inference(transitivity,[status(thm)],[77, 376, 399, 94, 398])).
% 0.76/0.96 tff(401,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), multiply(sk_c2, sk_c7)))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[400])).
% 0.76/0.96 tff(402,plain,
% 0.76/0.96 (multiply(sk_c1, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c1, sk_c7), sk_c6)),
% 0.76/0.96 inference(symmetry,[status(thm)],[384])).
% 0.76/0.96 tff(403,plain,
% 0.76/0.96 (sk_c6 = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 0.76/0.96 inference(transitivity,[status(thm)],[387, 378, 381, 402, 385, 388])).
% 0.76/0.96 tff(404,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, sk_c7)), sk_c7)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[403])).
% 0.76/0.96 tff(405,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c7) = sk_c5),
% 0.76/0.96 inference(transitivity,[status(thm)],[404, 401, 396, 393, 95, 374, 48, 359, 353])).
% 0.76/0.96 tff(406,plain,
% 0.76/0.96 ($false),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[354, 405])).
% 0.76/0.96 tff(407,plain,(multiply(sk_c6, sk_c7) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 0.76/0.96 tff(408,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[240])).
% 0.76/0.96 tff(409,plain,
% 0.76/0.96 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(sk_c6, sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[408])).
% 0.76/0.96 tff(410,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(411,plain,
% 0.76/0.96 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[410, 25])).
% 0.76/0.96 tff(412,plain,
% 0.76/0.96 (multiply(sk_c6, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 0.76/0.96 inference(symmetry,[status(thm)],[276])).
% 0.76/0.96 tff(413,plain,
% 0.76/0.96 (sk_c5 = multiply(sk_c6, sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[407])).
% 0.76/0.96 tff(414,plain,
% 0.76/0.96 (sk_c5 = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 0.76/0.96 inference(transitivity,[status(thm)],[413, 408, 412])).
% 0.76/0.96 tff(415,plain,
% 0.76/0.96 (multiply(sk_c5, sk_c3) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[414])).
% 0.76/0.96 tff(416,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c5, sk_c3)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[407])).
% 0.76/0.96 tff(417,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c7, sk_c3)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(418,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[417, 25])).
% 0.76/0.96 tff(419,plain,
% 0.76/0.96 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c6, sk_c7), sk_c3)),
% 0.76/0.96 inference(symmetry,[status(thm)],[418])).
% 0.76/0.96 tff(420,assumption,(~(inverse(sk_c3) = sk_c7)), introduced(assumption)).
% 0.76/0.96 tff(421,plain,
% 0.76/0.96 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(422,plain,
% 0.76/0.96 (((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(423,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_7')).
% 0.76/0.96 tff(424,plain,
% 0.76/0.96 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[423, 422])).
% 0.76/0.96 tff(425,plain,
% 0.76/0.96 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[424, 421])).
% 0.76/0.96 tff(426,plain,
% 0.76/0.96 (multiply(sk_c1, sk_c7) = sk_c6),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[425, 420])).
% 0.76/0.96 tff(427,plain,
% 0.76/0.96 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[426])).
% 0.76/0.96 tff(428,plain,
% 0.76/0.96 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(429,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 0.76/0.96 tff(430,plain,
% 0.76/0.96 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[429, 428])).
% 0.76/0.96 tff(431,plain,
% 0.76/0.96 (inverse(sk_c1) = sk_c7),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[430, 420])).
% 0.76/0.96 tff(432,plain,
% 0.76/0.96 (sk_c7 = inverse(sk_c1)),
% 0.76/0.96 inference(symmetry,[status(thm)],[431])).
% 0.76/0.96 tff(433,plain,
% 0.76/0.96 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[432])).
% 0.76/0.96 tff(434,plain,
% 0.76/0.96 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 0.76/0.96 inference(symmetry,[status(thm)],[433])).
% 0.76/0.96 tff(435,plain,
% 0.76/0.96 (identity = multiply(sk_c7, sk_c1)),
% 0.76/0.96 inference(transitivity,[status(thm)],[65, 434])).
% 0.76/0.96 tff(436,plain,
% 0.76/0.96 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[435])).
% 0.76/0.96 tff(437,plain,
% 0.76/0.96 (sk_c7 = sk_c5),
% 0.76/0.96 inference(transitivity,[status(thm)],[77, 436, 48, 427, 353])).
% 0.76/0.96 tff(438,plain,
% 0.76/0.96 (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c5)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[437])).
% 0.76/0.96 tff(439,plain,
% 0.76/0.96 ((multiply(sk_c7, sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[438])).
% 0.76/0.96 tff(440,plain,
% 0.76/0.96 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (multiply(sk_c7, sk_c7) = sk_c6)),
% 0.76/0.96 inference(symmetry,[status(thm)],[439])).
% 0.76/0.96 tff(441,plain,
% 0.76/0.96 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[413])).
% 0.76/0.96 tff(442,plain,
% 0.76/0.96 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c5)),
% 0.76/0.96 inference(symmetry,[status(thm)],[441])).
% 0.76/0.96 tff(443,plain,
% 0.76/0.96 (((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5)) <=> ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(444,plain,
% 0.76/0.96 (((inverse(sk_c7) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(445,axiom,((inverse(sk_c7) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 0.76/0.96 tff(446,plain,
% 0.76/0.96 ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[445, 444])).
% 0.76/0.96 tff(447,plain,
% 0.76/0.96 ((inverse(sk_c3) = sk_c7) | (inverse(sk_c7) = sk_c5)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[446, 443])).
% 0.76/0.96 tff(448,plain,
% 0.76/0.96 (inverse(sk_c7) = sk_c5),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[447, 420])).
% 0.76/0.96 tff(449,plain,
% 0.76/0.96 (sk_c5 = inverse(sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[448])).
% 0.76/0.96 tff(450,plain,
% 0.76/0.96 (multiply(sk_c7, sk_c6) = inverse(sk_c7)),
% 0.76/0.96 inference(transitivity,[status(thm)],[353, 449])).
% 0.76/0.96 tff(451,plain,
% 0.76/0.96 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[450])).
% 0.76/0.96 tff(452,plain,
% 0.76/0.96 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[451])).
% 0.76/0.96 tff(453,plain,
% 0.76/0.96 (inverse(sk_c7) = multiply(sk_c6, sk_c7)),
% 0.76/0.96 inference(transitivity,[status(thm)],[448, 413])).
% 0.76/0.96 tff(454,plain,
% 0.76/0.96 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[453])).
% 0.76/0.96 tff(455,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[454])).
% 0.76/0.96 tff(456,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(457,plain,
% 0.76/0.96 (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[456, 25])).
% 0.76/0.96 tff(458,plain,
% 0.76/0.96 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[457])).
% 0.76/0.96 tff(459,plain,
% 0.76/0.96 (multiply(sk_c2, sk_c7) = multiply(sk_c2, sk_c5)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[437])).
% 0.76/0.96 tff(460,plain,
% 0.76/0.96 (multiply(sk_c2, sk_c5) = multiply(sk_c2, sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[459])).
% 0.76/0.96 tff(461,plain,
% 0.76/0.96 (multiply(sk_c2, sk_c5) = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[413])).
% 0.76/0.96 tff(462,plain,
% 0.76/0.96 (multiply(sk_c2, multiply(sk_c6, sk_c7)) = multiply(sk_c2, sk_c5)),
% 0.76/0.96 inference(symmetry,[status(thm)],[461])).
% 0.76/0.96 tff(463,plain,
% 0.76/0.96 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(sk_c2, multiply(sk_c6, sk_c7)))),
% 0.76/0.96 inference(quant_inst,[status(thm)],[])).
% 0.76/0.96 tff(464,plain,
% 0.76/0.96 (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(sk_c2, multiply(sk_c6, sk_c7))),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[463, 25])).
% 0.76/0.96 tff(465,plain,
% 0.76/0.96 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c5)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c5))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(466,plain,
% 0.76/0.96 (((multiply(sk_c2, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c5))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(467,axiom,((multiply(sk_c2, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_22')).
% 0.76/0.96 tff(468,plain,
% 0.76/0.96 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c5)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[467, 466])).
% 0.76/0.96 tff(469,plain,
% 0.76/0.96 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c6) = sk_c5)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[468, 465])).
% 0.76/0.96 tff(470,plain,
% 0.76/0.96 (multiply(sk_c2, sk_c6) = sk_c5),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[469, 420])).
% 0.76/0.96 tff(471,plain,
% 0.76/0.96 (multiply(sk_c2, sk_c6) = inverse(sk_c7)),
% 0.76/0.96 inference(transitivity,[status(thm)],[470, 449])).
% 0.76/0.96 tff(472,plain,
% 0.76/0.96 (multiply(multiply(sk_c2, sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[471])).
% 0.76/0.96 tff(473,plain,
% 0.76/0.96 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c2, sk_c6), sk_c7)),
% 0.76/0.96 inference(symmetry,[status(thm)],[472])).
% 0.76/0.96 tff(474,plain,
% 0.76/0.96 (multiply(sk_c7, sk_c7) = multiply(sk_c2, sk_c7)),
% 0.76/0.96 inference(transitivity,[status(thm)],[438, 441, 170, 451, 473, 464, 462, 460])).
% 0.76/0.96 tff(475,plain,
% 0.76/0.96 (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(sk_c2, sk_c7))),
% 0.76/0.96 inference(monotonicity,[status(thm)],[474])).
% 0.76/0.96 tff(476,plain,
% 0.76/0.96 (multiply(sk_c6, multiply(sk_c2, sk_c7)) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 0.76/0.96 inference(symmetry,[status(thm)],[475])).
% 0.76/0.96 tff(477,assumption,(~(inverse(sk_c2) = sk_c6)), introduced(assumption)).
% 0.76/0.96 tff(478,plain,
% 0.76/0.96 (((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6))),
% 0.76/0.96 inference(rewrite,[status(thm)],[])).
% 0.76/0.96 tff(479,axiom,((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_29')).
% 0.76/0.96 tff(480,plain,
% 0.76/0.96 ((inverse(sk_c2) = sk_c6) | (inverse(sk_c4) = sk_c6)),
% 0.76/0.96 inference(modus_ponens,[status(thm)],[479, 478])).
% 0.76/0.96 tff(481,plain,
% 0.76/0.96 (inverse(sk_c4) = sk_c6),
% 0.76/0.96 inference(unit_resolution,[status(thm)],[480, 477])).
% 0.76/0.96 tff(482,plain,
% 0.76/0.96 (sk_c6 = inverse(sk_c4)),
% 0.76/0.96 inference(symmetry,[status(thm)],[481])).
% 0.76/0.96 tff(483,plain,
% 0.76/0.96 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.76/0.96 inference(monotonicity,[status(thm)],[482])).
% 0.76/0.97 tff(484,plain,
% 0.76/0.97 (multiply(sk_c6, sk_c4) = identity),
% 0.76/0.97 inference(transitivity,[status(thm)],[483, 298])).
% 0.76/0.97 tff(485,plain,
% 0.76/0.97 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[484])).
% 0.76/0.97 tff(486,plain,
% 0.76/0.97 (((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 0.76/0.97 inference(rewrite,[status(thm)],[])).
% 0.76/0.97 tff(487,axiom,((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_30')).
% 0.76/0.97 tff(488,plain,
% 0.76/0.97 ((inverse(sk_c2) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 0.76/0.97 inference(modus_ponens,[status(thm)],[487, 486])).
% 0.76/0.97 tff(489,plain,
% 0.76/0.97 (multiply(sk_c4, sk_c5) = sk_c6),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[488, 477])).
% 0.76/0.97 tff(490,plain,
% 0.76/0.97 (sk_c6 = multiply(sk_c4, sk_c5)),
% 0.76/0.97 inference(symmetry,[status(thm)],[489])).
% 0.76/0.97 tff(491,plain,
% 0.76/0.97 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[490])).
% 0.76/0.97 tff(492,plain,
% 0.76/0.97 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c6, sk_c6)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[489])).
% 0.76/0.97 tff(493,plain,
% 0.76/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.76/0.97 tff(494,plain,
% 0.76/0.97 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[493, 25])).
% 0.76/0.97 tff(495,plain,
% 0.76/0.97 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 0.76/0.97 inference(symmetry,[status(thm)],[494])).
% 0.76/0.97 tff(496,plain,
% 0.76/0.97 (multiply(sk_c5, sk_c6) = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[380])).
% 0.76/0.97 tff(497,plain,
% 0.76/0.97 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c5, sk_c6)),
% 0.76/0.97 inference(symmetry,[status(thm)],[496])).
% 0.76/0.97 tff(498,plain,
% 0.76/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c7, multiply(sk_c6, sk_c6)))),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.76/0.97 tff(499,plain,
% 0.76/0.97 (multiply(multiply(sk_c7, sk_c6), sk_c6) = multiply(sk_c7, multiply(sk_c6, sk_c6))),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[498, 25])).
% 0.76/0.97 tff(500,plain,
% 0.76/0.97 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c7, sk_c6), sk_c6)),
% 0.76/0.97 inference(symmetry,[status(thm)],[499])).
% 0.76/0.97 tff(501,plain,
% 0.76/0.97 (multiply(sk_c6, sk_c6) = multiply(sk_c6, sk_c7)),
% 0.76/0.97 inference(transitivity,[status(thm)],[491, 345, 485, 313, 413])).
% 0.76/0.97 tff(502,plain,
% 0.76/0.97 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[501])).
% 0.76/0.97 tff(503,plain,
% 0.76/0.97 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c6, sk_c6))),
% 0.76/0.97 inference(symmetry,[status(thm)],[502])).
% 0.76/0.97 tff(504,plain,
% 0.76/0.97 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(sk_c6, sk_c6)),
% 0.76/0.97 inference(symmetry,[status(thm)],[491])).
% 0.76/0.97 tff(505,plain,
% 0.76/0.97 (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 0.76/0.97 inference(symmetry,[status(thm)],[485])).
% 0.76/0.97 tff(506,plain,
% 0.76/0.97 (sk_c5 = multiply(sk_c6, sk_c6)),
% 0.76/0.97 inference(transitivity,[status(thm)],[314, 505, 296, 504])).
% 0.76/0.97 tff(507,plain,
% 0.76/0.97 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[506])).
% 0.76/0.97 tff(508,plain,
% 0.76/0.97 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, sk_c5)),
% 0.76/0.97 inference(symmetry,[status(thm)],[507])).
% 0.76/0.97 tff(509,plain,
% 0.76/0.97 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c7, sk_c6)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[239])).
% 0.76/0.97 tff(510,plain,
% 0.76/0.97 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 0.76/0.97 inference(symmetry,[status(thm)],[509])).
% 0.76/0.97 tff(511,plain,
% 0.76/0.97 (multiply(sk_c6, sk_c7) = multiply(sk_c3, sk_c5)),
% 0.76/0.97 inference(transitivity,[status(thm)],[407, 380, 510, 349, 508])).
% 0.76/0.97 tff(512,plain,
% 0.76/0.97 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, multiply(sk_c3, sk_c5))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[511])).
% 0.76/0.97 tff(513,plain,
% 0.76/0.97 (multiply(sk_c7, multiply(sk_c3, sk_c5)) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 0.76/0.97 inference(symmetry,[status(thm)],[512])).
% 0.76/0.97 tff(514,plain,
% 0.76/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(sk_c7, multiply(sk_c3, sk_c5)))),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.76/0.97 tff(515,plain,
% 0.76/0.97 (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(sk_c7, multiply(sk_c3, sk_c5))),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[514, 25])).
% 0.76/0.97 tff(516,plain,
% 0.76/0.97 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c6, sk_c4)),
% 0.76/0.97 inference(symmetry,[status(thm)],[483])).
% 0.76/0.97 tff(517,plain,
% 0.76/0.97 (identity = multiply(inverse(sk_c4), sk_c4)),
% 0.76/0.97 inference(symmetry,[status(thm)],[298])).
% 0.76/0.97 tff(518,plain,
% 0.76/0.97 (((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7))),
% 0.76/0.97 inference(rewrite,[status(thm)],[])).
% 0.76/0.97 tff(519,axiom,((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_27')).
% 0.76/0.97 tff(520,plain,
% 0.76/0.97 ((inverse(sk_c2) = sk_c6) | (inverse(sk_c3) = sk_c7)),
% 0.76/0.97 inference(modus_ponens,[status(thm)],[519, 518])).
% 0.76/0.97 tff(521,plain,
% 0.76/0.97 (inverse(sk_c3) = sk_c7),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[520, 477])).
% 0.76/0.97 tff(522,plain,
% 0.76/0.97 (sk_c7 = inverse(sk_c3)),
% 0.76/0.97 inference(symmetry,[status(thm)],[521])).
% 0.76/0.97 tff(523,plain,
% 0.76/0.97 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[522])).
% 0.76/0.97 tff(524,plain,
% 0.76/0.97 (multiply(sk_c7, sk_c3) = multiply(sk_c6, sk_c4)),
% 0.76/0.97 inference(transitivity,[status(thm)],[523, 246, 517, 516])).
% 0.76/0.97 tff(525,plain,
% 0.76/0.97 (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[524])).
% 0.76/0.97 tff(526,plain,
% 0.76/0.97 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(multiply(sk_c7, sk_c3), sk_c5)),
% 0.76/0.97 inference(symmetry,[status(thm)],[525])).
% 0.76/0.97 tff(527,plain,
% 0.76/0.97 (sk_c5 = multiply(sk_c5, sk_c6)),
% 0.76/0.97 inference(transitivity,[status(thm)],[314, 505, 526, 515, 513, 503, 500, 497])).
% 0.76/0.97 tff(528,plain,
% 0.76/0.97 (multiply(sk_c4, sk_c5) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[527])).
% 0.76/0.97 tff(529,plain,
% 0.76/0.97 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.76/0.97 tff(530,plain,
% 0.76/0.97 (multiply(identity, sk_c4) = sk_c4),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[529, 74])).
% 0.76/0.97 tff(531,plain,
% 0.76/0.97 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(sk_c4, sk_c5))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[490])).
% 0.76/0.97 tff(532,plain,
% 0.76/0.97 (multiply(sk_c3, multiply(sk_c4, sk_c5)) = multiply(sk_c3, sk_c6)),
% 0.76/0.97 inference(symmetry,[status(thm)],[531])).
% 0.76/0.97 tff(533,plain,
% 0.76/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(sk_c3, multiply(sk_c4, sk_c5)))),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.76/0.97 tff(534,plain,
% 0.76/0.97 (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(sk_c3, multiply(sk_c4, sk_c5))),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[533, 25])).
% 0.76/0.97 tff(535,plain,
% 0.76/0.97 (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[527])).
% 0.76/0.97 tff(536,plain,
% 0.76/0.97 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c3, sk_c4), sk_c5)),
% 0.76/0.97 inference(symmetry,[status(thm)],[535])).
% 0.76/0.97 tff(537,plain,
% 0.76/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6))))),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.76/0.97 tff(538,plain,
% 0.76/0.97 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[537, 25])).
% 0.76/0.97 tff(539,plain,
% 0.76/0.97 (multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6))),
% 0.76/0.97 inference(symmetry,[status(thm)],[538])).
% 0.76/0.97 tff(540,plain,
% 0.76/0.97 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c6, sk_c6)),
% 0.76/0.97 inference(transitivity,[status(thm)],[495, 492])).
% 0.76/0.97 tff(541,plain,
% 0.76/0.97 (multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6))) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[540])).
% 0.76/0.97 tff(542,plain,
% 0.76/0.97 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6)))),
% 0.76/0.97 inference(symmetry,[status(thm)],[541])).
% 0.76/0.97 tff(543,plain,
% 0.76/0.97 (sk_c5 = inverse(sk_c3)),
% 0.76/0.97 inference(transitivity,[status(thm)],[380, 510, 349, 542, 539, 536, 534, 532, 239, 522])).
% 0.76/0.97 tff(544,plain,
% 0.76/0.97 (multiply(sk_c5, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[543])).
% 0.76/0.97 tff(545,plain,
% 0.76/0.97 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c5, sk_c3)),
% 0.76/0.97 inference(symmetry,[status(thm)],[544])).
% 0.76/0.97 tff(546,plain,
% 0.76/0.97 (identity = multiply(inverse(sk_c3), sk_c3)),
% 0.76/0.97 inference(symmetry,[status(thm)],[246])).
% 0.76/0.97 tff(547,plain,
% 0.76/0.97 (identity = multiply(sk_c5, sk_c3)),
% 0.76/0.97 inference(transitivity,[status(thm)],[546, 545])).
% 0.76/0.97 tff(548,plain,
% 0.76/0.97 (multiply(identity, sk_c4) = multiply(multiply(sk_c5, sk_c3), sk_c4)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[547])).
% 0.76/0.97 tff(549,plain,
% 0.76/0.97 (multiply(multiply(sk_c5, sk_c3), sk_c4) = multiply(identity, sk_c4)),
% 0.76/0.97 inference(symmetry,[status(thm)],[548])).
% 0.76/0.97 tff(550,plain,
% 0.76/0.97 (sk_c6 = sk_c5),
% 0.76/0.97 inference(transitivity,[status(thm)],[490, 528, 495, 492, 491, 345, 485, 313])).
% 0.76/0.97 tff(551,plain,
% 0.76/0.97 (multiply(sk_c6, sk_c3) = multiply(sk_c5, sk_c3)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[550])).
% 0.76/0.97 tff(552,plain,
% 0.76/0.97 (multiply(sk_c5, sk_c3) = multiply(sk_c6, sk_c3)),
% 0.76/0.97 inference(symmetry,[status(thm)],[551])).
% 0.76/0.97 tff(553,plain,
% 0.76/0.97 (multiply(multiply(sk_c5, sk_c3), sk_c4) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[552])).
% 0.76/0.97 tff(554,plain,
% 0.76/0.97 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(multiply(sk_c5, sk_c3), sk_c4)),
% 0.76/0.97 inference(symmetry,[status(thm)],[553])).
% 0.76/0.97 tff(555,plain,
% 0.76/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.76/0.97 tff(556,plain,
% 0.76/0.97 (multiply(multiply(sk_c6, sk_c3), sk_c4) = multiply(sk_c6, multiply(sk_c3, sk_c4))),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[555, 25])).
% 0.76/0.97 tff(557,plain,
% 0.76/0.97 (multiply(sk_c6, multiply(sk_c3, sk_c4)) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 0.76/0.97 inference(symmetry,[status(thm)],[556])).
% 0.76/0.97 tff(558,plain,
% 0.76/0.97 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.76/0.97 tff(559,plain,
% 0.76/0.97 (multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c6, multiply(sk_c3, sk_c4))),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[558, 74])).
% 0.76/0.97 tff(560,plain,
% 0.76/0.97 (multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(identity, multiply(multiply(sk_c6, sk_c3), sk_c4))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[557])).
% 0.76/0.97 tff(561,plain,
% 0.76/0.97 (multiply(identity, multiply(multiply(sk_c6, sk_c3), sk_c4)) = multiply(identity, multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 0.76/0.97 inference(symmetry,[status(thm)],[560])).
% 0.76/0.97 tff(562,plain,
% 0.76/0.97 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c4, sk_c5)),
% 0.76/0.97 inference(symmetry,[status(thm)],[528])).
% 0.76/0.97 tff(563,plain,
% 0.76/0.97 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 0.76/0.97 inference(symmetry,[status(thm)],[492])).
% 0.76/0.97 tff(564,plain,
% 0.76/0.97 (sk_c5 = inverse(sk_c4)),
% 0.76/0.97 inference(transitivity,[status(thm)],[314, 505, 296, 504, 563, 494, 562, 489, 482])).
% 0.76/0.97 tff(565,plain,
% 0.76/0.97 (multiply(sk_c5, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[564])).
% 0.76/0.97 tff(566,plain,
% 0.76/0.97 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c5, sk_c4)),
% 0.76/0.97 inference(symmetry,[status(thm)],[565])).
% 0.76/0.97 tff(567,plain,
% 0.76/0.97 (identity = multiply(sk_c5, sk_c4)),
% 0.76/0.97 inference(transitivity,[status(thm)],[517, 566])).
% 0.76/0.97 tff(568,plain,
% 0.76/0.97 (multiply(identity, multiply(multiply(sk_c6, sk_c3), sk_c4)) = multiply(multiply(sk_c5, sk_c4), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[567, 556])).
% 0.76/0.97 tff(569,plain,
% 0.76/0.97 (multiply(multiply(sk_c5, sk_c4), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(identity, multiply(multiply(sk_c6, sk_c3), sk_c4))),
% 0.76/0.97 inference(symmetry,[status(thm)],[568])).
% 0.76/0.97 tff(570,plain,
% 0.76/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c4), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c5, multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4)))))),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.76/0.97 tff(571,plain,
% 0.76/0.97 (multiply(multiply(sk_c5, sk_c4), multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c5, multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[570, 25])).
% 0.76/0.97 tff(572,plain,
% 0.76/0.97 (multiply(sk_c5, multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(multiply(sk_c5, sk_c4), multiply(sk_c6, multiply(sk_c3, sk_c4)))),
% 0.76/0.97 inference(symmetry,[status(thm)],[571])).
% 0.76/0.97 tff(573,plain,
% 0.76/0.97 (sk_c5 = sk_c6),
% 0.76/0.97 inference(transitivity,[status(thm)],[314, 505, 296, 504, 563, 494, 562, 489])).
% 0.76/0.97 tff(574,plain,
% 0.76/0.97 (multiply(sk_c5, multiply(sk_c3, sk_c4)) = multiply(sk_c6, multiply(sk_c3, sk_c4))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[573])).
% 0.76/0.97 tff(575,plain,
% 0.76/0.97 (multiply(sk_c6, multiply(sk_c3, sk_c4)) = multiply(sk_c5, multiply(sk_c3, sk_c4))),
% 0.76/0.97 inference(symmetry,[status(thm)],[574])).
% 0.76/0.97 tff(576,plain,
% 0.76/0.97 (multiply(multiply(sk_c4, sk_c5), sk_c3) = multiply(sk_c6, sk_c3)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[489])).
% 0.76/0.97 tff(577,plain,
% 0.76/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c5), sk_c3) = multiply(sk_c4, multiply(sk_c5, sk_c3)))),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.76/0.97 tff(578,plain,
% 0.76/0.97 (multiply(multiply(sk_c4, sk_c5), sk_c3) = multiply(sk_c4, multiply(sk_c5, sk_c3))),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[577, 25])).
% 0.76/0.97 tff(579,plain,
% 0.76/0.97 (multiply(sk_c4, multiply(sk_c5, sk_c3)) = multiply(multiply(sk_c4, sk_c5), sk_c3)),
% 0.76/0.97 inference(symmetry,[status(thm)],[578])).
% 0.76/0.97 tff(580,plain,
% 0.76/0.97 (multiply(sk_c4, multiply(sk_c5, sk_c3)) = multiply(sk_c6, sk_c3)),
% 0.76/0.97 inference(transitivity,[status(thm)],[579, 576])).
% 0.76/0.97 tff(581,plain,
% 0.76/0.97 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c3)), sk_c4) = multiply(multiply(sk_c6, sk_c3), sk_c4)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[580])).
% 0.76/0.97 tff(582,plain,
% 0.76/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c5, sk_c3)), sk_c4) = multiply(sk_c4, multiply(multiply(sk_c5, sk_c3), sk_c4)))),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.76/0.97 tff(583,plain,
% 0.76/0.97 (multiply(multiply(sk_c4, multiply(sk_c5, sk_c3)), sk_c4) = multiply(sk_c4, multiply(multiply(sk_c5, sk_c3), sk_c4))),
% 0.76/0.97 inference(unit_resolution,[status(thm)],[582, 25])).
% 0.76/0.97 tff(584,plain,
% 0.76/0.97 (multiply(sk_c4, multiply(multiply(sk_c5, sk_c3), sk_c4)) = multiply(multiply(sk_c4, multiply(sk_c5, sk_c3)), sk_c4)),
% 0.76/0.97 inference(symmetry,[status(thm)],[583])).
% 0.76/0.97 tff(585,plain,
% 0.76/0.97 (multiply(sk_c4, multiply(multiply(sk_c6, sk_c3), sk_c4)) = multiply(sk_c4, multiply(multiply(sk_c5, sk_c3), sk_c4))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[554])).
% 0.76/0.97 tff(586,plain,
% 0.76/0.97 (multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c4, multiply(multiply(sk_c6, sk_c3), sk_c4))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[557])).
% 0.76/0.97 tff(587,plain,
% 0.76/0.97 (multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4))) = multiply(sk_c5, multiply(sk_c3, sk_c4))),
% 0.76/0.97 inference(transitivity,[status(thm)],[586, 585, 584, 581, 556, 575])).
% 0.76/0.97 tff(588,plain,
% 0.76/0.97 (multiply(sk_c5, multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4)))) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 0.76/0.97 inference(monotonicity,[status(thm)],[587])).
% 0.76/0.97 tff(589,plain,
% 0.76/0.97 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c3, sk_c4))) = multiply(sk_c5, multiply(sk_c4, multiply(sk_c6, multiply(sk_c3, sk_c4))))),
% 0.76/0.97 inference(symmetry,[status(thm)],[588])).
% 0.76/0.97 tff(590,plain,
% 0.76/0.97 (multiply(sk_c5, multiply(sk_c3, sk_c4)) = sk_c4),
% 0.76/0.97 inference(transitivity,[status(thm)],[574, 557, 554, 549, 530])).
% 0.76/0.97 tff(591,plain,
% 0.76/0.97 (multiply(sk_c5, multiply(sk_c5, multiply(sk_c3, sk_c4))) = multiply(sk_c5, sk_c4)),
% 0.76/0.97 inference(monotonicity,[status(thm)],[590])).
% 0.76/0.97 tff(592,plain,
% 0.76/0.97 (multiply(sk_c5, sk_c4) = multiply(sk_c5, multiply(sk_c5, multiply(sk_c3, sk_c4)))),
% 0.76/0.97 inference(symmetry,[status(thm)],[591])).
% 0.76/0.97 tff(593,plain,
% 0.76/0.97 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 0.76/0.97 inference(quant_inst,[status(thm)],[])).
% 0.82/0.97 tff(594,plain,
% 0.82/0.97 (multiply(inverse(sk_c5), sk_c5) = identity),
% 0.82/0.97 inference(unit_resolution,[status(thm)],[593, 62])).
% 0.82/0.97 tff(595,plain,
% 0.82/0.97 (multiply(sk_c5, sk_c5) = multiply(sk_c6, sk_c6)),
% 0.82/0.97 inference(monotonicity,[status(thm)],[573, 573])).
% 0.82/0.97 tff(596,plain,
% 0.82/0.97 (multiply(sk_c6, sk_c6) = multiply(sk_c5, sk_c5)),
% 0.82/0.97 inference(symmetry,[status(thm)],[595])).
% 0.82/0.97 tff(597,plain,
% 0.82/0.97 (sk_c5 = multiply(sk_c5, sk_c5)),
% 0.82/0.97 inference(transitivity,[status(thm)],[314, 505, 296, 504, 596])).
% 0.82/0.97 tff(598,plain,
% 0.82/0.97 (sk_c5 = sk_c7),
% 0.82/0.97 inference(transitivity,[status(thm)],[380, 510, 349, 542, 539, 536, 534, 532, 239])).
% 0.82/0.97 tff(599,plain,
% 0.82/0.97 (inverse(sk_c5) = inverse(sk_c7)),
% 0.82/0.97 inference(monotonicity,[status(thm)],[598])).
% 0.82/0.97 tff(600,plain,
% 0.82/0.97 (multiply(inverse(sk_c5), sk_c5) = multiply(inverse(sk_c7), multiply(sk_c5, sk_c5))),
% 0.82/0.97 inference(monotonicity,[status(thm)],[599, 597])).
% 0.82/0.97 tff(601,plain,
% 0.82/0.97 (multiply(inverse(sk_c7), multiply(sk_c5, sk_c5)) = multiply(inverse(sk_c5), sk_c5)),
% 0.82/0.97 inference(symmetry,[status(thm)],[600])).
% 0.82/0.97 tff(602,plain,
% 0.82/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c7), sk_c5), sk_c5) = multiply(inverse(sk_c7), multiply(sk_c5, sk_c5)))),
% 0.82/0.97 inference(quant_inst,[status(thm)],[])).
% 0.82/0.97 tff(603,plain,
% 0.82/0.97 (multiply(multiply(inverse(sk_c7), sk_c5), sk_c5) = multiply(inverse(sk_c7), multiply(sk_c5, sk_c5))),
% 0.82/0.97 inference(unit_resolution,[status(thm)],[602, 25])).
% 0.82/0.97 tff(604,plain,
% 0.82/0.97 (inverse(sk_c7) = inverse(sk_c5)),
% 0.82/0.97 inference(symmetry,[status(thm)],[599])).
% 0.82/0.97 tff(605,plain,
% 0.82/0.97 (multiply(inverse(sk_c7), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.82/0.97 inference(monotonicity,[status(thm)],[604])).
% 0.82/0.97 tff(606,plain,
% 0.82/0.97 (multiply(inverse(sk_c7), sk_c5) = multiply(sk_c5, sk_c3)),
% 0.82/0.97 inference(transitivity,[status(thm)],[605, 594, 546, 545])).
% 0.82/0.97 tff(607,plain,
% 0.82/0.97 (multiply(multiply(inverse(sk_c7), sk_c5), sk_c5) = multiply(multiply(sk_c5, sk_c3), sk_c6)),
% 0.82/0.97 inference(monotonicity,[status(thm)],[606, 573])).
% 0.82/0.97 tff(608,plain,
% 0.82/0.97 (multiply(multiply(sk_c5, sk_c3), sk_c6) = multiply(multiply(inverse(sk_c7), sk_c5), sk_c5)),
% 0.82/0.97 inference(symmetry,[status(thm)],[607])).
% 0.82/0.97 tff(609,plain,
% 0.82/0.97 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c3), sk_c6) = multiply(sk_c5, multiply(sk_c3, sk_c6)))),
% 0.82/0.97 inference(quant_inst,[status(thm)],[])).
% 0.82/0.97 tff(610,plain,
% 0.82/0.97 (multiply(multiply(sk_c5, sk_c3), sk_c6) = multiply(sk_c5, multiply(sk_c3, sk_c6))),
% 0.82/0.97 inference(unit_resolution,[status(thm)],[609, 25])).
% 0.82/0.97 tff(611,plain,
% 0.82/0.97 (multiply(sk_c5, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c5, sk_c3), sk_c6)),
% 0.82/0.97 inference(symmetry,[status(thm)],[610])).
% 0.82/0.97 tff(612,plain,
% 0.82/0.97 (multiply(sk_c5, multiply(sk_c3, sk_c6)) = multiply(sk_c5, sk_c7)),
% 0.82/0.97 inference(monotonicity,[status(thm)],[239])).
% 0.82/0.97 tff(613,plain,
% 0.82/0.97 (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(sk_c3, sk_c6))),
% 0.82/0.97 inference(symmetry,[status(thm)],[612])).
% 0.82/0.97 tff(614,plain,
% 0.82/0.97 (multiply(sk_c5, sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 0.82/0.97 inference(monotonicity,[status(thm)],[380])).
% 0.82/0.97 tff(615,plain,
% 0.82/0.97 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c5, sk_c7)),
% 0.82/0.97 inference(symmetry,[status(thm)],[614])).
% 0.82/0.97 tff(616,plain,
% 0.82/0.97 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 0.82/0.97 inference(symmetry,[status(thm)],[349])).
% 0.82/0.97 tff(617,plain,
% 0.82/0.97 (multiply(sk_c3, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c3, sk_c4), sk_c5)),
% 0.82/0.97 inference(symmetry,[status(thm)],[534])).
% 0.82/0.97 tff(618,plain,
% 0.82/0.97 (sk_c7 = sk_c4),
% 0.82/0.97 inference(transitivity,[status(thm)],[240, 531, 617, 535, 538, 541, 616, 509, 353, 314, 505, 526, 515, 513, 170, 615, 613, 611, 608, 603, 601, 594, 517, 566, 592, 589, 572, 569, 561, 559, 557, 554, 549, 530])).
% 0.82/0.97 tff(619,plain,
% 0.82/0.97 (inverse(sk_c7) = inverse(sk_c4)),
% 0.82/0.97 inference(monotonicity,[status(thm)],[618])).
% 0.82/0.97 tff(620,plain,
% 0.82/0.97 (inverse(sk_c7) = sk_c5),
% 0.82/0.97 inference(transitivity,[status(thm)],[619, 481, 490, 528, 495, 492, 491, 345, 485, 313])).
% 0.82/0.97 tff(621,plain,
% 0.82/0.97 (sk_c7 = sk_c5),
% 0.82/0.97 inference(transitivity,[status(thm)],[240, 531, 617, 535, 538, 541, 616, 509, 353])).
% 0.82/0.97 tff(622,plain,
% 0.82/0.97 (multiply(sk_c3, sk_c7) = multiply(sk_c3, sk_c5)),
% 0.82/0.97 inference(monotonicity,[status(thm)],[621])).
% 0.82/0.97 tff(623,plain,
% 0.82/0.97 (multiply(sk_c3, sk_c7) = sk_c6),
% 0.82/0.97 inference(transitivity,[status(thm)],[622, 507, 616, 509, 353, 314, 505, 296, 504, 563, 494, 562, 489])).
% 0.82/0.97 tff(624,plain,
% 0.82/0.97 (multiply(sk_c3, sk_c6) = inverse(sk_c3)),
% 0.82/0.97 inference(transitivity,[status(thm)],[239, 522])).
% 0.82/0.97 tff(625,plain,
% 0.82/0.97 ((multiply(sk_c3, sk_c6) = sk_c5) <=> (inverse(sk_c3) = sk_c6)),
% 0.82/0.97 inference(monotonicity,[status(thm)],[624, 573])).
% 0.82/0.97 tff(626,plain,
% 0.82/0.97 (multiply(sk_c3, sk_c6) = sk_c5),
% 0.82/0.97 inference(transitivity,[status(thm)],[531, 617, 535, 538, 541, 616, 509, 353])).
% 0.82/0.97 tff(627,plain,
% 0.82/0.97 (inverse(sk_c3) = sk_c6),
% 0.82/0.97 inference(modus_ponens,[status(thm)],[626, 625])).
% 0.82/0.97 tff(628,plain,
% 0.82/0.97 (multiply(sk_c3, sk_c5) = sk_c6),
% 0.82/0.97 inference(transitivity,[status(thm)],[507, 616, 509, 353, 314, 505, 296, 504, 563, 494, 562, 489])).
% 0.82/0.97 tff(629,plain,
% 0.82/0.97 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)))),
% 0.82/0.97 inference(rewrite,[status(thm)],[])).
% 0.82/0.97 tff(630,plain,
% 0.82/0.97 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)))),
% 0.82/0.97 inference(rewrite,[status(thm)],[])).
% 0.82/0.97 tff(631,plain,
% 0.82/0.97 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7))))),
% 0.82/0.97 inference(monotonicity,[status(thm)],[630])).
% 0.82/0.97 tff(632,plain,
% 0.82/0.97 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)))),
% 0.82/0.98 inference(transitivity,[status(thm)],[631, 629])).
% 0.82/0.98 tff(633,plain,
% 0.82/0.98 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))),
% 0.82/0.98 inference(quant_inst,[status(thm)],[])).
% 0.82/0.98 tff(634,plain,
% 0.82/0.98 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7))),
% 0.82/0.98 inference(modus_ponens,[status(thm)],[633, 632])).
% 0.82/0.98 tff(635,plain,
% 0.82/0.98 ((~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6))),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[634, 353, 407, 521, 239, 216])).
% 0.82/0.98 tff(636,plain,
% 0.82/0.98 (~(inverse(sk_c7) = sk_c5)),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[635, 628, 626, 627, 623])).
% 0.82/0.98 tff(637,plain,
% 0.82/0.98 ($false),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[636, 620])).
% 0.82/0.98 tff(638,plain,(inverse(sk_c2) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 0.82/0.98 tff(639,plain,
% 0.82/0.98 (sk_c6 = inverse(sk_c2)),
% 0.82/0.98 inference(symmetry,[status(thm)],[638])).
% 0.82/0.98 tff(640,plain,
% 0.82/0.98 (multiply(sk_c6, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[639])).
% 0.82/0.98 tff(641,plain,
% 0.82/0.98 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c1)),
% 0.82/0.98 inference(transitivity,[status(thm)],[640, 84, 65, 434])).
% 0.82/0.98 tff(642,plain,
% 0.82/0.98 (multiply(multiply(sk_c6, sk_c2), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[641])).
% 0.82/0.98 tff(643,plain,
% 0.82/0.98 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c6, sk_c2), sk_c7)),
% 0.82/0.98 inference(symmetry,[status(thm)],[642])).
% 0.82/0.98 tff(644,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.82/0.98 inference(symmetry,[status(thm)],[427])).
% 0.82/0.98 tff(645,plain,
% 0.82/0.98 (inverse(sk_c7) = multiply(sk_c7, sk_c5)),
% 0.82/0.98 inference(transitivity,[status(thm)],[448, 380, 644, 101, 643, 94, 476, 458, 455, 452, 169, 442])).
% 0.82/0.98 tff(646,plain,
% 0.82/0.98 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[645])).
% 0.82/0.98 tff(647,plain,
% 0.82/0.98 ((sk_c6 = inverse(sk_c7)) <=> (inverse(sk_c7) = sk_c6)),
% 0.82/0.98 inference(commutativity,[status(thm)],[])).
% 0.82/0.98 tff(648,plain,
% 0.82/0.98 (sk_c7 = inverse(sk_c7)),
% 0.82/0.98 inference(transitivity,[status(thm)],[77, 436, 48, 427, 353, 449])).
% 0.82/0.98 tff(649,plain,
% 0.82/0.98 ((inverse(sk_c2) = sk_c7) <=> (sk_c6 = inverse(sk_c7))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[638, 648])).
% 0.82/0.98 tff(650,plain,
% 0.82/0.98 ((inverse(sk_c2) = sk_c7) <=> (inverse(sk_c7) = sk_c6)),
% 0.82/0.98 inference(transitivity,[status(thm)],[649, 647])).
% 0.82/0.98 tff(651,plain,
% 0.82/0.98 ((inverse(sk_c2) = sk_c7) <=> (multiply(sk_c7, sk_c7) = sk_c6)),
% 0.82/0.98 inference(transitivity,[status(thm)],[650, 646, 440])).
% 0.82/0.98 tff(652,plain,
% 0.82/0.98 ((~(inverse(sk_c2) = sk_c7)) <=> (~(multiply(sk_c7, sk_c7) = sk_c6))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[651])).
% 0.82/0.98 tff(653,plain,
% 0.82/0.98 (multiply(sk_c2, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c2, sk_c6), sk_c7)),
% 0.82/0.98 inference(symmetry,[status(thm)],[464])).
% 0.82/0.98 tff(654,plain,
% 0.82/0.98 (multiply(sk_c2, sk_c7) = multiply(sk_c7, sk_c5)),
% 0.82/0.98 inference(transitivity,[status(thm)],[459, 461, 653, 472, 452, 169, 442])).
% 0.82/0.98 tff(655,plain,
% 0.82/0.98 ((multiply(sk_c2, sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[654])).
% 0.82/0.98 tff(656,plain,
% 0.82/0.98 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (multiply(sk_c2, sk_c7) = sk_c6)),
% 0.82/0.98 inference(symmetry,[status(thm)],[655])).
% 0.82/0.98 tff(657,plain,
% 0.82/0.98 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c2, sk_c7) = sk_c6)),
% 0.82/0.98 inference(transitivity,[status(thm)],[646, 656])).
% 0.82/0.98 tff(658,plain,
% 0.82/0.98 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c5)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[437])).
% 0.82/0.98 tff(659,plain,
% 0.82/0.98 (multiply(sk_c1, sk_c5) = multiply(sk_c1, sk_c7)),
% 0.82/0.98 inference(symmetry,[status(thm)],[658])).
% 0.82/0.98 tff(660,plain,
% 0.82/0.98 (multiply(multiply(sk_c1, sk_c7), sk_c6) = multiply(sk_c6, sk_c6)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[426])).
% 0.82/0.98 tff(661,plain,
% 0.82/0.98 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c1, sk_c7), sk_c6)),
% 0.82/0.98 inference(symmetry,[status(thm)],[660])).
% 0.82/0.98 tff(662,plain,
% 0.82/0.98 (sk_c6 = multiply(sk_c1, sk_c7)),
% 0.82/0.98 inference(symmetry,[status(thm)],[426])).
% 0.82/0.98 tff(663,plain,
% 0.82/0.98 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[662])).
% 0.82/0.98 tff(664,plain,
% 0.82/0.98 (multiply(sk_c6, multiply(sk_c1, sk_c7)) = multiply(sk_c6, sk_c6)),
% 0.82/0.98 inference(symmetry,[status(thm)],[663])).
% 0.82/0.98 tff(665,plain,
% 0.82/0.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c7)))),
% 0.82/0.98 inference(quant_inst,[status(thm)],[])).
% 0.82/0.98 tff(666,plain,
% 0.82/0.98 (multiply(multiply(sk_c6, sk_c1), sk_c7) = multiply(sk_c6, multiply(sk_c1, sk_c7))),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[665, 25])).
% 0.82/0.98 tff(667,plain,
% 0.82/0.98 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 0.82/0.98 inference(symmetry,[status(thm)],[436])).
% 0.82/0.98 tff(668,plain,
% 0.82/0.98 (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[426])).
% 0.82/0.98 tff(669,plain,
% 0.82/0.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c7)))),
% 0.82/0.98 inference(quant_inst,[status(thm)],[])).
% 0.82/0.98 tff(670,plain,
% 0.82/0.98 (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[669, 25])).
% 0.82/0.98 tff(671,plain,
% 0.82/0.98 (multiply(sk_c1, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c1, sk_c7), sk_c7)),
% 0.82/0.98 inference(symmetry,[status(thm)],[670])).
% 0.82/0.98 tff(672,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c5) = multiply(sk_c7, sk_c7)),
% 0.82/0.98 inference(symmetry,[status(thm)],[438])).
% 0.82/0.98 tff(673,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c1) = multiply(sk_c7, sk_c7)),
% 0.82/0.98 inference(transitivity,[status(thm)],[433, 64, 145, 452, 169, 442, 672])).
% 0.82/0.98 tff(674,plain,
% 0.82/0.98 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[673])).
% 0.82/0.98 tff(675,plain,
% 0.82/0.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 0.82/0.98 inference(quant_inst,[status(thm)],[])).
% 0.82/0.98 tff(676,plain,
% 0.82/0.98 (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[675, 25])).
% 0.82/0.98 tff(677,plain,
% 0.82/0.98 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[662])).
% 0.82/0.98 tff(678,plain,
% 0.82/0.98 (multiply(sk_c6, sk_c1) = sk_c7),
% 0.82/0.98 inference(transitivity,[status(thm)],[677, 676, 674, 671, 668, 407, 380, 644, 101, 667, 76])).
% 0.82/0.98 tff(679,plain,
% 0.82/0.98 (multiply(multiply(sk_c6, sk_c1), sk_c7) = multiply(sk_c7, sk_c5)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[678, 437])).
% 0.82/0.98 tff(680,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c6, sk_c1), sk_c7)),
% 0.82/0.98 inference(symmetry,[status(thm)],[679])).
% 0.82/0.98 tff(681,plain,
% 0.82/0.98 (inverse(sk_c7) = sk_c6),
% 0.82/0.98 inference(transitivity,[status(thm)],[448, 380, 644, 101, 643, 94, 476, 458, 455, 452, 169, 442, 680, 666, 664, 661, 384, 382, 659, 426])).
% 0.82/0.98 tff(682,plain,
% 0.82/0.98 (multiply(sk_c2, sk_c7) = sk_c6),
% 0.82/0.98 inference(modus_ponens,[status(thm)],[681, 657])).
% 0.82/0.98 tff(683,plain,
% 0.82/0.98 (multiply(sk_c2, sk_c5) = multiply(sk_c7, sk_c5)),
% 0.82/0.98 inference(transitivity,[status(thm)],[461, 653, 472, 452, 169, 442])).
% 0.82/0.98 tff(684,plain,
% 0.82/0.98 ((multiply(sk_c2, sk_c5) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[683])).
% 0.82/0.98 tff(685,plain,
% 0.82/0.98 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (multiply(sk_c2, sk_c5) = sk_c6)),
% 0.82/0.98 inference(symmetry,[status(thm)],[684])).
% 0.82/0.98 tff(686,plain,
% 0.82/0.98 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c2, sk_c5) = sk_c6)),
% 0.82/0.98 inference(transitivity,[status(thm)],[646, 685])).
% 0.82/0.98 tff(687,plain,
% 0.82/0.98 (multiply(sk_c2, sk_c5) = sk_c6),
% 0.82/0.98 inference(modus_ponens,[status(thm)],[681, 686])).
% 0.82/0.98 tff(688,plain,
% 0.82/0.98 (multiply(sk_c2, sk_c6) = sk_c7),
% 0.82/0.98 inference(transitivity,[status(thm)],[470, 380, 644, 101, 667, 76])).
% 0.82/0.98 tff(689,plain,
% 0.82/0.98 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))),
% 0.82/0.98 inference(rewrite,[status(thm)],[])).
% 0.82/0.98 tff(690,plain,
% 0.82/0.98 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))),
% 0.82/0.98 inference(rewrite,[status(thm)],[])).
% 0.82/0.98 tff(691,plain,
% 0.82/0.98 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6))))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[690])).
% 0.82/0.98 tff(692,plain,
% 0.82/0.98 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))),
% 0.82/0.98 inference(transitivity,[status(thm)],[691, 689])).
% 0.82/0.98 tff(693,plain,
% 0.82/0.98 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c6)))),
% 0.82/0.98 inference(quant_inst,[status(thm)],[])).
% 0.82/0.98 tff(694,plain,
% 0.82/0.98 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6))),
% 0.82/0.98 inference(modus_ponens,[status(thm)],[693, 692])).
% 0.82/0.98 tff(695,plain,
% 0.82/0.98 ((~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c5)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(multiply(sk_c2, sk_c7) = sk_c6))),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[694, 353, 407, 638, 216])).
% 0.82/0.98 tff(696,plain,
% 0.82/0.98 (~(inverse(sk_c2) = sk_c7)),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[695, 688, 448, 470, 687, 682])).
% 0.82/0.98 tff(697,plain,
% 0.82/0.98 (~(multiply(sk_c7, sk_c7) = sk_c6)),
% 0.82/0.98 inference(modus_ponens,[status(thm)],[696, 652])).
% 0.82/0.98 tff(698,plain,
% 0.82/0.98 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c7) = sk_c6)),
% 0.82/0.98 inference(transitivity,[status(thm)],[646, 440])).
% 0.82/0.98 tff(699,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c7) = sk_c6),
% 0.82/0.98 inference(modus_ponens,[status(thm)],[681, 698])).
% 0.82/0.98 tff(700,plain,
% 0.82/0.98 ($false),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[699, 697])).
% 0.82/0.98 tff(701,plain,(inverse(sk_c3) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.82/0.98 tff(702,plain,
% 0.82/0.98 (sk_c7 = inverse(sk_c3)),
% 0.82/0.98 inference(symmetry,[status(thm)],[701])).
% 0.82/0.98 tff(703,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[702])).
% 0.82/0.98 tff(704,plain,
% 0.82/0.98 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 0.82/0.98 inference(symmetry,[status(thm)],[703])).
% 0.82/0.98 tff(705,assumption,(~(inverse(sk_c7) = sk_c5)), introduced(assumption)).
% 0.82/0.98 tff(706,plain,
% 0.82/0.98 (((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5)) <=> ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5))),
% 0.82/0.98 inference(rewrite,[status(thm)],[])).
% 0.82/0.98 tff(707,plain,
% 0.82/0.98 (((inverse(sk_c7) = sk_c5) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5))),
% 0.82/0.98 inference(rewrite,[status(thm)],[])).
% 0.82/0.98 tff(708,axiom,((inverse(sk_c7) = sk_c5) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 0.82/0.98 tff(709,plain,
% 0.82/0.98 ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5)),
% 0.82/0.98 inference(modus_ponens,[status(thm)],[708, 707])).
% 0.82/0.98 tff(710,plain,
% 0.82/0.98 ((inverse(sk_c4) = sk_c6) | (inverse(sk_c7) = sk_c5)),
% 0.82/0.98 inference(modus_ponens,[status(thm)],[709, 706])).
% 0.82/0.98 tff(711,plain,
% 0.82/0.98 (inverse(sk_c4) = sk_c6),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[710, 705])).
% 0.82/0.98 tff(712,plain,
% 0.82/0.98 (sk_c6 = inverse(sk_c4)),
% 0.82/0.98 inference(symmetry,[status(thm)],[711])).
% 0.82/0.98 tff(713,plain,
% 0.82/0.98 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[712])).
% 0.82/0.98 tff(714,plain,
% 0.82/0.98 (multiply(sk_c6, sk_c4) = identity),
% 0.82/0.98 inference(transitivity,[status(thm)],[713, 298])).
% 0.82/0.98 tff(715,plain,
% 0.82/0.98 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[714])).
% 0.82/0.98 tff(716,plain,
% 0.82/0.98 (((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 0.82/0.98 inference(rewrite,[status(thm)],[])).
% 0.82/0.98 tff(717,axiom,((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_20')).
% 0.82/0.98 tff(718,plain,
% 0.82/0.98 ((inverse(sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 0.82/0.98 inference(modus_ponens,[status(thm)],[717, 716])).
% 0.82/0.98 tff(719,plain,
% 0.82/0.98 (multiply(sk_c4, sk_c5) = sk_c6),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[718, 705])).
% 0.82/0.98 tff(720,plain,
% 0.82/0.98 (sk_c6 = multiply(sk_c4, sk_c5)),
% 0.82/0.98 inference(symmetry,[status(thm)],[719])).
% 0.82/0.98 tff(721,plain,
% 0.82/0.98 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[720])).
% 0.82/0.98 tff(722,plain,
% 0.82/0.98 (multiply(multiply(sk_c4, sk_c5), sk_c6) = multiply(sk_c6, sk_c6)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[719])).
% 0.82/0.98 tff(723,plain,
% 0.82/0.98 (multiply(sk_c6, sk_c6) = sk_c5),
% 0.82/0.98 inference(transitivity,[status(thm)],[721, 345, 715, 313])).
% 0.82/0.98 tff(724,plain,
% 0.82/0.98 (multiply(sk_c7, multiply(sk_c6, sk_c6)) = multiply(sk_c7, sk_c5)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[723])).
% 0.82/0.98 tff(725,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c6))),
% 0.82/0.98 inference(symmetry,[status(thm)],[724])).
% 0.82/0.98 tff(726,plain,
% 0.82/0.98 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(sk_c6, sk_c6)),
% 0.82/0.98 inference(symmetry,[status(thm)],[721])).
% 0.82/0.98 tff(727,plain,
% 0.82/0.98 (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 0.82/0.98 inference(symmetry,[status(thm)],[715])).
% 0.82/0.98 tff(728,plain,
% 0.82/0.98 (sk_c5 = multiply(sk_c6, sk_c6)),
% 0.82/0.98 inference(transitivity,[status(thm)],[314, 727, 296, 726])).
% 0.82/0.98 tff(729,plain,
% 0.82/0.98 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[728])).
% 0.82/0.98 tff(730,plain,
% 0.82/0.98 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, sk_c5)),
% 0.82/0.98 inference(symmetry,[status(thm)],[729])).
% 0.82/0.98 tff(731,plain,
% 0.82/0.98 (sk_c5 = multiply(sk_c3, sk_c5)),
% 0.82/0.98 inference(transitivity,[status(thm)],[380, 510, 349, 730])).
% 0.82/0.98 tff(732,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c3, sk_c5))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[731])).
% 0.82/0.98 tff(733,plain,
% 0.82/0.98 (multiply(sk_c7, multiply(sk_c3, sk_c5)) = multiply(sk_c7, sk_c5)),
% 0.82/0.98 inference(symmetry,[status(thm)],[732])).
% 0.82/0.98 tff(734,plain,
% 0.82/0.98 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c6, sk_c4)),
% 0.82/0.98 inference(symmetry,[status(thm)],[713])).
% 0.82/0.98 tff(735,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c3) = multiply(sk_c6, sk_c4)),
% 0.82/0.98 inference(transitivity,[status(thm)],[703, 246, 517, 734])).
% 0.82/0.98 tff(736,plain,
% 0.82/0.98 (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[735])).
% 0.82/0.98 tff(737,plain,
% 0.82/0.98 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(multiply(sk_c7, sk_c3), sk_c5)),
% 0.82/0.98 inference(symmetry,[status(thm)],[736])).
% 0.82/0.98 tff(738,plain,
% 0.82/0.98 (sk_c5 = multiply(sk_c5, sk_c6)),
% 0.82/0.98 inference(transitivity,[status(thm)],[314, 727, 737, 515, 733, 725, 500, 497])).
% 0.82/0.98 tff(739,plain,
% 0.82/0.98 (multiply(sk_c4, sk_c5) = multiply(sk_c4, multiply(sk_c5, sk_c6))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[738])).
% 0.82/0.98 tff(740,plain,
% 0.82/0.98 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c6, sk_c4)),
% 0.82/0.98 inference(transitivity,[status(thm)],[144, 517, 734])).
% 0.82/0.98 tff(741,plain,
% 0.82/0.98 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[740])).
% 0.82/0.98 tff(742,plain,
% 0.82/0.98 ((~![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)))),
% 0.82/0.98 inference(quant_inst,[status(thm)],[])).
% 0.82/0.98 tff(743,plain,
% 0.82/0.98 (multiply(multiply(inverse(sk_c7), sk_c7), sk_c5) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c5))),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[742, 25])).
% 0.82/0.98 tff(744,plain,
% 0.82/0.98 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c5)),
% 0.82/0.98 inference(symmetry,[status(thm)],[743])).
% 0.82/0.98 tff(745,plain,
% 0.82/0.98 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c6, sk_c6)),
% 0.82/0.98 inference(transitivity,[status(thm)],[495, 722])).
% 0.82/0.98 tff(746,plain,
% 0.82/0.98 (multiply(sk_c3, multiply(sk_c4, multiply(sk_c5, sk_c6))) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[745])).
% 0.82/0.98 tff(747,plain,
% 0.82/0.98 (multiply(multiply(sk_c3, sk_c4), sk_c5) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c5, sk_c6))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[738])).
% 0.82/0.98 tff(748,plain,
% 0.82/0.98 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(sk_c4, sk_c5))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[720])).
% 0.82/0.98 tff(749,plain,
% 0.82/0.98 (sk_c7 = multiply(sk_c7, sk_c5)),
% 0.82/0.98 inference(transitivity,[status(thm)],[240, 748, 617, 747, 538, 746, 616, 509, 353, 314, 727, 737, 515, 733])).
% 0.82/0.98 tff(750,plain,
% 0.82/0.98 (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c7), multiply(sk_c7, sk_c5))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[749])).
% 0.82/0.98 tff(751,plain,
% 0.82/0.98 (identity = sk_c5),
% 0.82/0.98 inference(transitivity,[status(thm)],[145, 750, 744, 741, 715, 313])).
% 0.82/0.98 tff(752,plain,
% 0.82/0.98 (multiply(identity, sk_c4) = multiply(sk_c5, sk_c4)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[751])).
% 0.82/0.98 tff(753,plain,
% 0.82/0.98 (multiply(sk_c5, sk_c4) = multiply(identity, sk_c4)),
% 0.82/0.98 inference(symmetry,[status(thm)],[752])).
% 0.82/0.98 tff(754,plain,
% 0.82/0.98 (multiply(sk_c4, multiply(sk_c5, sk_c6)) = multiply(sk_c4, sk_c5)),
% 0.82/0.98 inference(symmetry,[status(thm)],[739])).
% 0.82/0.98 tff(755,plain,
% 0.82/0.98 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c4, sk_c5), sk_c6)),
% 0.82/0.98 inference(symmetry,[status(thm)],[722])).
% 0.82/0.98 tff(756,plain,
% 0.82/0.98 (sk_c5 = inverse(sk_c4)),
% 0.82/0.98 inference(transitivity,[status(thm)],[314, 727, 296, 726, 755, 494, 754, 719, 712])).
% 0.82/0.98 tff(757,plain,
% 0.82/0.98 (multiply(sk_c5, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[756])).
% 0.82/0.98 tff(758,plain,
% 0.82/0.98 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c5, sk_c4)),
% 0.82/0.98 inference(symmetry,[status(thm)],[757])).
% 0.82/0.98 tff(759,plain,
% 0.82/0.98 (multiply(inverse(sk_c7), multiply(sk_c7, sk_c5)) = multiply(inverse(sk_c7), sk_c7)),
% 0.82/0.98 inference(symmetry,[status(thm)],[750])).
% 0.82/0.98 tff(760,plain,
% 0.82/0.98 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(multiply(inverse(sk_c7), sk_c7), sk_c5)),
% 0.82/0.98 inference(symmetry,[status(thm)],[741])).
% 0.82/0.98 tff(761,plain,
% 0.82/0.98 (sk_c7 = sk_c4),
% 0.82/0.98 inference(transitivity,[status(thm)],[240, 748, 617, 747, 538, 746, 616, 509, 353, 314, 727, 760, 743, 759, 144, 517, 758, 753, 530])).
% 0.82/0.98 tff(762,plain,
% 0.82/0.98 (inverse(sk_c7) = inverse(sk_c4)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[761])).
% 0.82/0.98 tff(763,plain,
% 0.82/0.98 (inverse(sk_c7) = sk_c5),
% 0.82/0.98 inference(transitivity,[status(thm)],[762, 711, 720, 739, 495, 722, 721, 345, 715, 313])).
% 0.82/0.98 tff(764,plain,
% 0.82/0.98 ($false),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[705, 763])).
% 0.82/0.98 tff(765,plain,(inverse(sk_c7) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 0.82/0.98 tff(766,plain,
% 0.82/0.98 (sk_c5 = inverse(sk_c7)),
% 0.82/0.98 inference(symmetry,[status(thm)],[765])).
% 0.82/0.98 tff(767,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c6) = inverse(sk_c7)),
% 0.82/0.98 inference(transitivity,[status(thm)],[353, 766])).
% 0.82/0.98 tff(768,plain,
% 0.82/0.98 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[767])).
% 0.82/0.98 tff(769,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c5) = multiply(sk_c7, sk_c3)),
% 0.82/0.98 inference(transitivity,[status(thm)],[441, 170, 768, 144, 546, 704])).
% 0.82/0.98 tff(770,plain,
% 0.82/0.98 (multiply(sk_c6, multiply(sk_c7, sk_c5)) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 0.82/0.98 inference(monotonicity,[status(thm)],[769])).
% 0.82/0.98 tff(771,plain,
% 0.82/0.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c5) = multiply(sk_c6, multiply(sk_c7, sk_c5)))),
% 0.82/0.98 inference(quant_inst,[status(thm)],[])).
% 0.82/0.98 tff(772,plain,
% 0.82/0.98 (multiply(multiply(sk_c6, sk_c7), sk_c5) = multiply(sk_c6, multiply(sk_c7, sk_c5))),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[771, 25])).
% 0.82/0.98 tff(773,plain,
% 0.82/0.98 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c6, sk_c7), sk_c5)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[413, 353])).
% 0.82/0.98 tff(774,plain,
% 0.82/0.98 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 0.82/0.98 inference(quant_inst,[status(thm)],[])).
% 0.82/0.98 tff(775,plain,
% 0.82/0.98 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 0.82/0.98 inference(unit_resolution,[status(thm)],[774, 25])).
% 0.82/0.98 tff(776,plain,
% 0.82/0.98 (multiply(sk_c5, sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[766])).
% 0.82/0.98 tff(777,plain,
% 0.82/0.98 (multiply(inverse(sk_c7), sk_c7) = multiply(sk_c5, sk_c7)),
% 0.82/0.98 inference(symmetry,[status(thm)],[776])).
% 0.82/0.98 tff(778,plain,
% 0.82/0.98 (multiply(sk_c7, sk_c3) = multiply(sk_c5, sk_c7)),
% 0.82/0.98 inference(transitivity,[status(thm)],[703, 246, 145, 777])).
% 0.82/0.98 tff(779,plain,
% 0.82/0.98 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 0.82/0.98 inference(monotonicity,[status(thm)],[778])).
% 0.82/0.98 tff(780,plain,
% 0.82/0.98 (identity = multiply(sk_c7, sk_c3)),
% 0.82/0.98 inference(transitivity,[status(thm)],[546, 704])).
% 0.82/0.98 tff(781,plain,
% 0.82/0.99 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[780])).
% 0.82/0.99 tff(782,plain,
% 0.82/0.99 (sk_c6 = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3))),
% 0.82/0.99 inference(transitivity,[status(thm)],[262, 781, 779, 775, 773, 772, 770, 419, 416, 415, 411])).
% 0.82/0.99 tff(783,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[782])).
% 0.82/0.99 tff(784,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 0.82/0.99 inference(symmetry,[status(thm)],[783])).
% 0.82/0.99 tff(785,plain,
% 0.82/0.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3))))),
% 0.82/0.99 inference(quant_inst,[status(thm)],[])).
% 0.82/0.99 tff(786,plain,
% 0.82/0.99 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)))),
% 0.82/0.99 inference(unit_resolution,[status(thm)],[785, 25])).
% 0.82/0.99 tff(787,plain,
% 0.82/0.99 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 0.82/0.99 inference(symmetry,[status(thm)],[781])).
% 0.82/0.99 tff(788,plain,
% 0.82/0.99 (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 0.82/0.99 inference(symmetry,[status(thm)],[779])).
% 0.82/0.99 tff(789,plain,
% 0.82/0.99 (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 0.82/0.99 inference(symmetry,[status(thm)],[775])).
% 0.82/0.99 tff(790,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 0.82/0.99 inference(symmetry,[status(thm)],[773])).
% 0.82/0.99 tff(791,plain,
% 0.82/0.99 (multiply(sk_c6, multiply(sk_c7, sk_c5)) = multiply(multiply(sk_c6, sk_c7), sk_c5)),
% 0.82/0.99 inference(symmetry,[status(thm)],[772])).
% 0.82/0.99 tff(792,plain,
% 0.82/0.99 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(sk_c6, multiply(sk_c7, sk_c5))),
% 0.82/0.99 inference(symmetry,[status(thm)],[770])).
% 0.82/0.99 tff(793,plain,
% 0.82/0.99 (multiply(sk_c5, sk_c3) = multiply(multiply(sk_c6, sk_c7), sk_c3)),
% 0.82/0.99 inference(symmetry,[status(thm)],[416])).
% 0.82/0.99 tff(794,plain,
% 0.82/0.99 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3) = multiply(sk_c5, sk_c3)),
% 0.82/0.99 inference(symmetry,[status(thm)],[415])).
% 0.82/0.99 tff(795,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3)),
% 0.82/0.99 inference(symmetry,[status(thm)],[411])).
% 0.82/0.99 tff(796,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)) = sk_c6),
% 0.82/0.99 inference(transitivity,[status(thm)],[795, 794, 793, 418, 792, 791, 790, 789, 788, 787, 261])).
% 0.82/0.99 tff(797,plain,
% 0.82/0.99 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3)) = multiply(sk_c6, multiply(sk_c6, sk_c3))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[796])).
% 0.82/0.99 tff(798,plain,
% 0.82/0.99 (multiply(sk_c6, multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c3))),
% 0.82/0.99 inference(symmetry,[status(thm)],[797])).
% 0.82/0.99 tff(799,plain,
% 0.82/0.99 (sk_c6 = multiply(sk_c5, sk_c3)),
% 0.82/0.99 inference(transitivity,[status(thm)],[262, 781, 779, 775, 773, 772, 770, 419, 416])).
% 0.82/0.99 tff(800,plain,
% 0.82/0.99 (multiply(sk_c6, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c5, sk_c3), multiply(sk_c6, sk_c3))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[799])).
% 0.82/0.99 tff(801,plain,
% 0.82/0.99 (multiply(multiply(sk_c5, sk_c3), multiply(sk_c6, sk_c3)) = multiply(sk_c6, multiply(sk_c6, sk_c3))),
% 0.82/0.99 inference(symmetry,[status(thm)],[800])).
% 0.82/0.99 tff(802,plain,
% 0.82/0.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c3), multiply(sk_c6, sk_c3)) = multiply(sk_c5, multiply(sk_c3, multiply(sk_c6, sk_c3))))),
% 0.82/0.99 inference(quant_inst,[status(thm)],[])).
% 0.82/0.99 tff(803,plain,
% 0.82/0.99 (multiply(multiply(sk_c5, sk_c3), multiply(sk_c6, sk_c3)) = multiply(sk_c5, multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 0.82/0.99 inference(unit_resolution,[status(thm)],[802, 25])).
% 0.82/0.99 tff(804,plain,
% 0.82/0.99 (multiply(sk_c5, multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c5, sk_c3), multiply(sk_c6, sk_c3))),
% 0.82/0.99 inference(symmetry,[status(thm)],[803])).
% 0.82/0.99 tff(805,plain,
% 0.82/0.99 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, sk_c6)) = multiply(sk_c6, sk_c6))),
% 0.82/0.99 inference(quant_inst,[status(thm)],[])).
% 0.82/0.99 tff(806,plain,
% 0.82/0.99 (multiply(identity, multiply(sk_c6, sk_c6)) = multiply(sk_c6, sk_c6)),
% 0.82/0.99 inference(unit_resolution,[status(thm)],[805, 74])).
% 0.82/0.99 tff(807,plain,
% 0.82/0.99 (multiply(identity, multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[780])).
% 0.82/0.99 tff(808,plain,
% 0.82/0.99 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6)) = multiply(identity, multiply(sk_c6, sk_c6))),
% 0.82/0.99 inference(symmetry,[status(thm)],[807])).
% 0.82/0.99 tff(809,plain,
% 0.82/0.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6))))),
% 0.82/0.99 inference(quant_inst,[status(thm)],[])).
% 0.82/0.99 tff(810,plain,
% 0.82/0.99 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 0.82/0.99 inference(unit_resolution,[status(thm)],[809, 25])).
% 0.82/0.99 tff(811,plain,
% 0.82/0.99 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6))),
% 0.82/0.99 inference(symmetry,[status(thm)],[810])).
% 0.82/0.99 tff(812,plain,
% 0.82/0.99 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = sk_c5),
% 0.82/0.99 inference(transitivity,[status(thm)],[616, 509, 353])).
% 0.82/0.99 tff(813,plain,
% 0.82/0.99 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(sk_c7, sk_c5)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[812])).
% 0.82/0.99 tff(814,plain,
% 0.82/0.99 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 0.82/0.99 inference(symmetry,[status(thm)],[813])).
% 0.82/0.99 tff(815,plain,
% 0.82/0.99 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 0.82/0.99 inference(symmetry,[status(thm)],[768])).
% 0.82/0.99 tff(816,plain,
% 0.82/0.99 (multiply(sk_c3, sk_c6) = inverse(sk_c3)),
% 0.82/0.99 inference(transitivity,[status(thm)],[239, 702])).
% 0.82/0.99 tff(817,plain,
% 0.82/0.99 (multiply(multiply(sk_c3, sk_c6), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[816])).
% 0.82/0.99 tff(818,plain,
% 0.82/0.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c3) = multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 0.82/0.99 inference(quant_inst,[status(thm)],[])).
% 0.82/0.99 tff(819,plain,
% 0.82/0.99 (multiply(multiply(sk_c3, sk_c6), sk_c3) = multiply(sk_c3, multiply(sk_c6, sk_c3))),
% 0.82/0.99 inference(unit_resolution,[status(thm)],[818, 25])).
% 0.82/0.99 tff(820,plain,
% 0.82/0.99 (multiply(sk_c3, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, sk_c6), sk_c3)),
% 0.82/0.99 inference(symmetry,[status(thm)],[819])).
% 0.82/0.99 tff(821,plain,
% 0.82/0.99 (multiply(sk_c3, multiply(sk_c6, sk_c3)) = multiply(sk_c6, sk_c6)),
% 0.82/0.99 inference(transitivity,[status(thm)],[820, 817, 246, 145, 815, 169, 442, 814, 811, 808, 806])).
% 0.82/0.99 tff(822,plain,
% 0.82/0.99 (multiply(sk_c5, multiply(sk_c3, multiply(sk_c6, sk_c3))) = multiply(sk_c5, multiply(sk_c6, sk_c6))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[821])).
% 0.82/0.99 tff(823,plain,
% 0.82/0.99 (multiply(sk_c5, multiply(sk_c6, sk_c6)) = multiply(sk_c5, multiply(sk_c3, multiply(sk_c6, sk_c3)))),
% 0.82/0.99 inference(symmetry,[status(thm)],[822])).
% 0.82/0.99 tff(824,plain,
% 0.82/0.99 (multiply(sk_c6, sk_c6) = multiply(identity, multiply(sk_c6, sk_c6))),
% 0.82/0.99 inference(symmetry,[status(thm)],[806])).
% 0.82/0.99 tff(825,plain,
% 0.82/0.99 (multiply(sk_c6, sk_c6) = multiply(sk_c7, sk_c5)),
% 0.82/0.99 inference(transitivity,[status(thm)],[824, 807, 810, 813])).
% 0.82/0.99 tff(826,plain,
% 0.82/0.99 (multiply(sk_c5, multiply(sk_c6, sk_c6)) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[825])).
% 0.82/0.99 tff(827,plain,
% 0.82/0.99 (multiply(sk_c5, multiply(sk_c7, sk_c5)) = multiply(sk_c5, multiply(sk_c6, sk_c6))),
% 0.82/0.99 inference(symmetry,[status(thm)],[826])).
% 0.82/0.99 tff(828,plain,
% 0.82/0.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c5)))),
% 0.82/0.99 inference(quant_inst,[status(thm)],[])).
% 0.82/0.99 tff(829,plain,
% 0.82/0.99 (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(sk_c5, multiply(sk_c7, sk_c5))),
% 0.82/0.99 inference(unit_resolution,[status(thm)],[828, 25])).
% 0.82/0.99 tff(830,plain,
% 0.82/0.99 (multiply(sk_c5, sk_c7) = identity),
% 0.82/0.99 inference(transitivity,[status(thm)],[776, 144])).
% 0.82/0.99 tff(831,plain,
% 0.82/0.99 (multiply(multiply(sk_c5, sk_c7), sk_c5) = multiply(identity, sk_c5)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[830])).
% 0.82/0.99 tff(832,plain,
% 0.82/0.99 (multiply(identity, sk_c5) = multiply(multiply(sk_c5, sk_c7), sk_c5)),
% 0.82/0.99 inference(symmetry,[status(thm)],[831])).
% 0.82/0.99 tff(833,plain,
% 0.82/0.99 (sk_c5 = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 0.82/0.99 inference(transitivity,[status(thm)],[380, 510, 349])).
% 0.82/0.99 tff(834,plain,
% 0.82/0.99 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[833])).
% 0.82/0.99 tff(835,plain,
% 0.82/0.99 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c6, sk_c6))) = multiply(sk_c7, sk_c5)),
% 0.82/0.99 inference(symmetry,[status(thm)],[834])).
% 0.82/0.99 tff(836,plain,
% 0.82/0.99 (inverse(sk_c7) = multiply(sk_c7, sk_c6)),
% 0.82/0.99 inference(transitivity,[status(thm)],[765, 380])).
% 0.82/0.99 tff(837,plain,
% 0.82/0.99 (multiply(inverse(sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[836])).
% 0.82/0.99 tff(838,plain,
% 0.82/0.99 (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.82/0.99 inference(symmetry,[status(thm)],[837])).
% 0.82/0.99 tff(839,plain,
% 0.82/0.99 (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c5)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[407])).
% 0.82/0.99 tff(840,plain,
% 0.82/0.99 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 0.82/0.99 inference(symmetry,[status(thm)],[839])).
% 0.82/0.99 tff(841,plain,
% 0.82/0.99 (multiply(sk_c7, sk_c5) = multiply(sk_c7, sk_c3)),
% 0.82/0.99 inference(transitivity,[status(thm)],[840, 170, 838, 144, 546, 704])).
% 0.82/0.99 tff(842,plain,
% 0.82/0.99 (multiply(sk_c6, multiply(sk_c7, sk_c5)) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[841])).
% 0.82/0.99 tff(843,plain,
% 0.82/0.99 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(sk_c6, multiply(sk_c7, sk_c5))),
% 0.82/0.99 inference(symmetry,[status(thm)],[842])).
% 0.82/0.99 tff(844,plain,
% 0.82/0.99 (multiply(sk_c6, sk_c2) = multiply(sk_c7, sk_c3)),
% 0.82/0.99 inference(transitivity,[status(thm)],[640, 84, 546, 704])).
% 0.82/0.99 tff(845,plain,
% 0.82/0.99 (multiply(sk_c6, multiply(sk_c6, sk_c2)) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[844])).
% 0.82/0.99 tff(846,plain,
% 0.82/0.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), sk_c2) = multiply(sk_c6, multiply(sk_c6, sk_c2)))),
% 0.82/0.99 inference(quant_inst,[status(thm)],[])).
% 0.82/0.99 tff(847,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c6), sk_c2) = multiply(sk_c6, multiply(sk_c6, sk_c2))),
% 0.82/0.99 inference(unit_resolution,[status(thm)],[846, 25])).
% 0.82/0.99 tff(848,plain,
% 0.82/0.99 (identity = multiply(sk_c6, sk_c6)),
% 0.82/0.99 inference(transitivity,[status(thm)],[145, 837, 169, 839, 834, 811, 808, 806])).
% 0.82/0.99 tff(849,plain,
% 0.82/0.99 (multiply(identity, sk_c2) = multiply(multiply(sk_c6, sk_c6), sk_c2)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[848])).
% 0.82/0.99 tff(850,plain,
% 0.82/0.99 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 0.82/0.99 inference(quant_inst,[status(thm)],[])).
% 0.82/0.99 tff(851,plain,
% 0.82/0.99 (multiply(identity, sk_c2) = sk_c2),
% 0.82/0.99 inference(unit_resolution,[status(thm)],[850, 74])).
% 0.82/0.99 tff(852,plain,
% 0.82/0.99 (sk_c2 = multiply(identity, sk_c2)),
% 0.82/0.99 inference(symmetry,[status(thm)],[851])).
% 0.82/0.99 tff(853,plain,
% 0.82/0.99 (sk_c2 = sk_c6),
% 0.82/0.99 inference(transitivity,[status(thm)],[852, 849, 847, 845, 843, 791, 790, 789, 788, 787, 261])).
% 0.82/0.99 tff(854,plain,
% 0.82/0.99 (multiply(sk_c2, sk_c6) = multiply(sk_c6, sk_c6)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[853])).
% 0.82/0.99 tff(855,assumption,(multiply(sk_c2, sk_c6) = sk_c5), introduced(assumption)).
% 0.82/0.99 tff(856,plain,
% 0.82/0.99 (sk_c5 = multiply(sk_c2, sk_c6)),
% 0.82/0.99 inference(symmetry,[status(thm)],[855])).
% 0.82/0.99 tff(857,plain,
% 0.82/0.99 (inverse(sk_c7) = multiply(sk_c7, sk_c5)),
% 0.82/0.99 inference(transitivity,[status(thm)],[765, 856, 854, 824, 807, 810, 835])).
% 0.82/0.99 tff(858,plain,
% 0.82/0.99 ((inverse(sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[857])).
% 0.82/0.99 tff(859,plain,
% 0.82/0.99 ((~(inverse(sk_c7) = sk_c6)) <=> (~(multiply(sk_c7, sk_c5) = sk_c6))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[858])).
% 0.82/0.99 tff(860,plain,
% 0.82/0.99 (multiply(sk_c6, sk_c6) = multiply(sk_c2, sk_c6)),
% 0.82/0.99 inference(symmetry,[status(thm)],[854])).
% 0.82/0.99 tff(861,plain,
% 0.82/0.99 (multiply(sk_c6, sk_c6) = sk_c5),
% 0.82/0.99 inference(transitivity,[status(thm)],[860, 855])).
% 0.82/0.99 tff(862,plain,
% 0.82/0.99 (multiply(sk_c7, sk_c3) = multiply(sk_c6, sk_c7)),
% 0.82/0.99 inference(transitivity,[status(thm)],[703, 246, 145, 837, 169, 839, 834, 811, 808, 806, 860, 855, 413])).
% 0.82/0.99 tff(863,plain,
% 0.82/0.99 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c6, sk_c7), sk_c5)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[862, 861])).
% 0.82/0.99 tff(864,plain,
% 0.82/0.99 (multiply(sk_c7, sk_c5) = sk_c6),
% 0.82/0.99 inference(transitivity,[status(thm)],[834, 811, 863, 790, 789, 788, 787, 261])).
% 0.82/0.99 tff(865,plain,
% 0.82/0.99 (multiply(identity, sk_c7) = multiply(multiply(sk_c6, sk_c6), sk_c7)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[848])).
% 0.82/0.99 tff(866,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(identity, sk_c7)),
% 0.82/0.99 inference(symmetry,[status(thm)],[865])).
% 0.82/0.99 tff(867,plain,
% 0.82/0.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(sk_c6, multiply(sk_c6, sk_c7)))),
% 0.82/0.99 inference(quant_inst,[status(thm)],[])).
% 0.82/0.99 tff(868,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c6), sk_c7) = multiply(sk_c6, multiply(sk_c6, sk_c7))),
% 0.82/0.99 inference(unit_resolution,[status(thm)],[867, 25])).
% 0.82/0.99 tff(869,plain,
% 0.82/0.99 (multiply(sk_c6, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c6, sk_c6), sk_c7)),
% 0.82/0.99 inference(symmetry,[status(thm)],[868])).
% 0.82/0.99 tff(870,plain,
% 0.82/0.99 (multiply(sk_c6, sk_c7) = multiply(sk_c6, sk_c6)),
% 0.82/0.99 inference(transitivity,[status(thm)],[407, 856, 854])).
% 0.82/0.99 tff(871,plain,
% 0.82/0.99 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c6))),
% 0.82/0.99 inference(symmetry,[status(thm)],[274])).
% 0.82/0.99 tff(872,plain,
% 0.82/0.99 (sk_c5 = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 0.82/0.99 inference(transitivity,[status(thm)],[413, 871, 412])).
% 0.82/0.99 tff(873,plain,
% 0.82/0.99 (multiply(sk_c5, sk_c3) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c3)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[872])).
% 0.82/0.99 tff(874,plain,
% 0.82/0.99 (sk_c6 = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3))),
% 0.82/0.99 inference(transitivity,[status(thm)],[262, 781, 779, 775, 773, 772, 842, 419, 416, 873, 411])).
% 0.82/0.99 tff(875,plain,
% 0.82/0.99 (multiply(sk_c6, multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c6))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[874, 870])).
% 0.82/0.99 tff(876,plain,
% 0.82/0.99 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c6)) = multiply(sk_c6, multiply(sk_c6, sk_c7))),
% 0.82/0.99 inference(symmetry,[status(thm)],[875])).
% 0.82/0.99 tff(877,plain,
% 0.82/0.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6), sk_c6) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c6)))),
% 0.82/0.99 inference(quant_inst,[status(thm)],[])).
% 0.82/0.99 tff(878,plain,
% 0.82/0.99 (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6), sk_c6) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c6))),
% 0.82/0.99 inference(unit_resolution,[status(thm)],[877, 25])).
% 0.82/0.99 tff(879,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c3), sk_c6) = inverse(sk_c7)),
% 0.82/0.99 inference(transitivity,[status(thm)],[276, 274, 407, 766])).
% 0.82/0.99 tff(880,plain,
% 0.82/0.99 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[879])).
% 0.82/0.99 tff(881,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7)) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), sk_c7)),
% 0.82/0.99 inference(symmetry,[status(thm)],[324])).
% 0.82/0.99 tff(882,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(sk_c6, sk_c7)),
% 0.82/0.99 inference(transitivity,[status(thm)],[276, 274])).
% 0.82/0.99 tff(883,plain,
% 0.82/0.99 (multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), sk_c6)) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c7))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[882])).
% 0.82/0.99 tff(884,plain,
% 0.82/0.99 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), sk_c6)))),
% 0.82/0.99 inference(quant_inst,[status(thm)],[])).
% 0.82/0.99 tff(885,plain,
% 0.82/0.99 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c6, sk_c3), sk_c6))),
% 0.82/0.99 inference(unit_resolution,[status(thm)],[884, 25])).
% 0.82/0.99 tff(886,plain,
% 0.82/0.99 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6) = multiply(sk_c7, sk_c3)),
% 0.82/0.99 inference(transitivity,[status(thm)],[885, 883, 881, 880, 144, 546, 704])).
% 0.82/0.99 tff(887,plain,
% 0.82/0.99 (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6), sk_c6) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[886])).
% 0.82/0.99 tff(888,plain,
% 0.82/0.99 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6), sk_c6)),
% 0.82/0.99 inference(symmetry,[status(thm)],[887])).
% 0.82/0.99 tff(889,plain,
% 0.82/0.99 (inverse(sk_c2) = sk_c7),
% 0.82/0.99 inference(transitivity,[status(thm)],[638, 262, 781, 888, 878, 876, 869, 866, 76])).
% 0.82/0.99 tff(890,plain,
% 0.82/0.99 ((sk_c5 = multiply(sk_c3, sk_c6)) <=> (multiply(sk_c3, sk_c6) = sk_c5)),
% 0.82/0.99 inference(commutativity,[status(thm)],[])).
% 0.82/0.99 tff(891,plain,
% 0.82/0.99 ((inverse(sk_c7) = sk_c7) <=> (sk_c5 = multiply(sk_c3, sk_c6))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[765, 240])).
% 0.82/0.99 tff(892,plain,
% 0.82/0.99 ((inverse(sk_c7) = sk_c7) <=> (multiply(sk_c3, sk_c6) = sk_c5)),
% 0.82/0.99 inference(transitivity,[status(thm)],[891, 890])).
% 0.82/0.99 tff(893,plain,
% 0.82/0.99 ((multiply(sk_c3, sk_c6) = sk_c5) <=> (inverse(sk_c7) = sk_c7)),
% 0.82/0.99 inference(symmetry,[status(thm)],[892])).
% 0.82/0.99 tff(894,plain,
% 0.82/0.99 ((sk_c7 = multiply(sk_c2, sk_c6)) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 0.82/0.99 inference(commutativity,[status(thm)],[])).
% 0.82/0.99 tff(895,plain,
% 0.82/0.99 ((multiply(sk_c3, sk_c6) = sk_c5) <=> (sk_c7 = multiply(sk_c2, sk_c6))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[239, 856])).
% 0.82/0.99 tff(896,plain,
% 0.82/0.99 ((multiply(sk_c3, sk_c6) = sk_c5) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 0.82/0.99 inference(transitivity,[status(thm)],[895, 894])).
% 0.82/0.99 tff(897,plain,
% 0.82/0.99 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (multiply(sk_c3, sk_c6) = sk_c5)),
% 0.82/0.99 inference(symmetry,[status(thm)],[896])).
% 0.82/0.99 tff(898,plain,
% 0.82/0.99 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c6), sk_c6)),
% 0.82/0.99 inference(symmetry,[status(thm)],[878])).
% 0.82/0.99 tff(899,plain,
% 0.82/0.99 (sk_c7 = sk_c6),
% 0.82/0.99 inference(transitivity,[status(thm)],[77, 865, 868, 875, 898, 887, 787, 261])).
% 0.82/0.99 tff(900,plain,
% 0.82/0.99 (multiply(sk_c2, sk_c6) = multiply(sk_c7, sk_c5)),
% 0.82/0.99 inference(transitivity,[status(thm)],[854, 824, 807, 810, 835])).
% 0.82/0.99 tff(901,plain,
% 0.82/0.99 ((multiply(sk_c2, sk_c6) = sk_c7) <=> (multiply(sk_c7, sk_c5) = sk_c6)),
% 0.82/0.99 inference(monotonicity,[status(thm)],[900, 899])).
% 0.82/0.99 tff(902,plain,
% 0.82/0.99 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (multiply(sk_c2, sk_c6) = sk_c7)),
% 0.82/0.99 inference(symmetry,[status(thm)],[901])).
% 0.82/0.99 tff(903,plain,
% 0.82/0.99 ((multiply(sk_c7, sk_c5) = sk_c6) <=> (inverse(sk_c7) = sk_c7)),
% 0.82/0.99 inference(transitivity,[status(thm)],[902, 897, 893])).
% 0.82/0.99 tff(904,plain,
% 0.82/0.99 (inverse(sk_c7) = sk_c7),
% 0.82/0.99 inference(modus_ponens,[status(thm)],[864, 903])).
% 0.82/0.99 tff(905,plain,
% 0.82/0.99 (multiply(sk_c2, sk_c6) = sk_c7),
% 0.82/0.99 inference(modus_ponens,[status(thm)],[864, 902])).
% 0.82/0.99 tff(906,plain,
% 0.82/0.99 (multiply(sk_c7, sk_c7) = sk_c6),
% 0.82/0.99 inference(transitivity,[status(thm)],[241, 339, 787, 261])).
% 0.82/0.99 tff(907,plain,
% 0.82/0.99 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))),
% 0.82/0.99 inference(rewrite,[status(thm)],[])).
% 0.82/0.99 tff(908,plain,
% 0.82/0.99 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))),
% 0.82/0.99 inference(rewrite,[status(thm)],[])).
% 0.82/0.99 tff(909,plain,
% 0.82/0.99 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6))))),
% 0.82/0.99 inference(monotonicity,[status(thm)],[908])).
% 0.82/0.99 tff(910,plain,
% 0.82/0.99 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))),
% 0.82/0.99 inference(transitivity,[status(thm)],[909, 907])).
% 0.82/0.99 tff(911,plain,
% 0.82/0.99 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(inverse(sk_c7) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c6)))),
% 0.82/1.00 inference(quant_inst,[status(thm)],[])).
% 0.82/1.00 tff(912,plain,
% 0.82/1.00 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c6)) | (~(multiply(X4, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6))),
% 0.82/1.00 inference(modus_ponens,[status(thm)],[911, 910])).
% 0.82/1.00 tff(913,plain,
% 0.82/1.00 ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6)) | (~(multiply(sk_c7, sk_c7) = sk_c6))),
% 0.82/1.00 inference(unit_resolution,[status(thm)],[912, 353, 407, 765, 216])).
% 0.82/1.00 tff(914,plain,
% 0.82/1.00 ((~(inverse(sk_c7) = sk_c6)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c2, sk_c6) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c7, sk_c5) = sk_c6))),
% 0.82/1.00 inference(unit_resolution,[status(thm)],[913, 906])).
% 0.82/1.00 tff(915,plain,
% 0.82/1.00 (~(inverse(sk_c7) = sk_c6)),
% 0.82/1.00 inference(unit_resolution,[status(thm)],[914, 905, 904, 889, 864])).
% 0.82/1.00 tff(916,plain,
% 0.82/1.00 (~(multiply(sk_c7, sk_c5) = sk_c6)),
% 0.82/1.00 inference(modus_ponens,[status(thm)],[915, 859])).
% 0.82/1.00 tff(917,plain,
% 0.82/1.00 ($false),
% 0.82/1.00 inference(unit_resolution,[status(thm)],[864, 916])).
% 0.82/1.00 tff(918,plain,(~(multiply(sk_c2, sk_c6) = sk_c5)), inference(lemma,lemma(discharge,[]))).
% 0.82/1.00 tff(919,plain,
% 0.82/1.00 (((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c5)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c5))),
% 0.82/1.00 inference(rewrite,[status(thm)],[])).
% 0.82/1.00 tff(920,plain,
% 0.82/1.00 (((multiply(sk_c2, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c5))),
% 0.82/1.00 inference(rewrite,[status(thm)],[])).
% 0.82/1.00 tff(921,axiom,((multiply(sk_c2, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_24')).
% 0.82/1.00 tff(922,plain,
% 0.82/1.00 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c5)),
% 0.82/1.00 inference(modus_ponens,[status(thm)],[921, 920])).
% 0.82/1.00 tff(923,plain,
% 0.82/1.00 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c6) = sk_c5)),
% 0.82/1.00 inference(modus_ponens,[status(thm)],[922, 919])).
% 0.82/1.00 tff(924,plain,
% 0.82/1.00 (inverse(sk_c4) = sk_c6),
% 0.82/1.00 inference(unit_resolution,[status(thm)],[923, 918])).
% 0.82/1.00 tff(925,plain,
% 0.82/1.00 (sk_c6 = inverse(sk_c4)),
% 0.82/1.00 inference(symmetry,[status(thm)],[924])).
% 0.82/1.00 tff(926,plain,
% 0.82/1.00 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)) = inverse(sk_c4)),
% 0.82/1.00 inference(transitivity,[status(thm)],[795, 794, 793, 418, 792, 791, 790, 789, 788, 787, 261, 925])).
% 0.82/1.00 tff(927,plain,
% 0.82/1.00 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.82/1.00 inference(monotonicity,[status(thm)],[926])).
% 0.82/1.00 tff(928,plain,
% 0.82/1.00 (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4)),
% 0.82/1.00 inference(symmetry,[status(thm)],[927])).
% 0.82/1.00 tff(929,plain,
% 0.82/1.00 (identity = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4)),
% 0.82/1.00 inference(transitivity,[status(thm)],[517, 928])).
% 0.82/1.00 tff(930,plain,
% 0.82/1.00 (multiply(identity, sk_c5) = multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4), sk_c5)),
% 0.82/1.00 inference(monotonicity,[status(thm)],[929])).
% 0.82/1.00 tff(931,plain,
% 0.82/1.00 (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 0.82/1.00 inference(symmetry,[status(thm)],[930])).
% 0.82/1.00 tff(932,plain,
% 0.82/1.00 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4), sk_c5) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c4, sk_c5)))),
% 0.82/1.00 inference(quant_inst,[status(thm)],[])).
% 0.82/1.00 tff(933,plain,
% 0.82/1.00 (multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4), sk_c5) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c4, sk_c5))),
% 0.82/1.00 inference(unit_resolution,[status(thm)],[932, 25])).
% 0.82/1.00 tff(934,plain,
% 0.82/1.00 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c4, sk_c5)) = multiply(multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), sk_c4), sk_c5)),
% 0.82/1.00 inference(symmetry,[status(thm)],[933])).
% 0.82/1.00 tff(935,plain,
% 0.82/1.00 (((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 0.82/1.00 inference(rewrite,[status(thm)],[])).
% 0.82/1.00 tff(936,axiom,((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_25')).
% 0.82/1.00 tff(937,plain,
% 0.82/1.00 ((multiply(sk_c2, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 0.82/1.00 inference(modus_ponens,[status(thm)],[936, 935])).
% 0.82/1.00 tff(938,plain,
% 0.82/1.00 (multiply(sk_c4, sk_c5) = sk_c6),
% 0.82/1.00 inference(unit_resolution,[status(thm)],[937, 918])).
% 0.82/1.00 tff(939,plain,
% 0.82/1.00 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c4, sk_c5)) = multiply(sk_c6, sk_c6)),
% 0.82/1.00 inference(monotonicity,[status(thm)],[796, 938])).
% 0.82/1.00 tff(940,plain,
% 0.82/1.00 (multiply(sk_c6, sk_c6) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, sk_c3)), multiply(sk_c4, sk_c5))),
% 0.82/1.00 inference(symmetry,[status(thm)],[939])).
% 0.82/1.00 tff(941,plain,
% 0.82/1.00 (identity = multiply(sk_c6, sk_c6)),
% 0.82/1.00 inference(transitivity,[status(thm)],[145, 815, 169, 442, 814, 811, 808, 806])).
% 0.82/1.00 tff(942,plain,
% 0.82/1.00 (multiply(identity, sk_c2) = multiply(multiply(sk_c6, sk_c6), sk_c2)),
% 0.82/1.00 inference(monotonicity,[status(thm)],[941])).
% 0.82/1.00 tff(943,plain,
% 0.82/1.00 (sk_c2 = sk_c6),
% 0.82/1.00 inference(transitivity,[status(thm)],[852, 942, 847, 845, 792, 791, 790, 789, 788, 787, 261])).
% 0.82/1.00 tff(944,plain,
% 0.82/1.00 (multiply(sk_c2, sk_c6) = multiply(sk_c6, sk_c6)),
% 0.82/1.00 inference(monotonicity,[status(thm)],[943])).
% 0.82/1.00 tff(945,plain,
% 0.82/1.00 (multiply(sk_c2, sk_c6) = sk_c5),
% 0.82/1.00 inference(transitivity,[status(thm)],[944, 940, 934, 931, 832, 829, 827, 823, 804, 801, 798, 786, 784, 276, 409, 407])).
% 0.82/1.00 tff(946,plain,
% 0.82/1.00 ($false),
% 0.82/1.00 inference(unit_resolution,[status(thm)],[918, 945])).
% 0.82/1.00 % SZS output end Proof
% 0.82/1.00 % E exiting
%------------------------------------------------------------------------------