%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP329-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:07:37 AM UTC 2025
% Result : Unsatisfiable 0.37s 0.59s
% Output : Proof 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP329-1 : TPTP v9.0.0. Released v2.5.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 15:57:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.37/0.59 % SZS status Unsatisfiable
% 0.37/0.59 % SZS output start Proof
% 0.37/0.59 tff(sk_c9_type, type, (
% 0.37/0.59 sk_c9: $i)).
% 0.37/0.59 tff(inverse_type, type, (
% 0.37/0.59 inverse: $i > $i)).
% 0.37/0.59 tff(sk_c7_type, type, (
% 0.37/0.59 sk_c7: $i)).
% 0.37/0.59 tff(multiply_type, type, (
% 0.37/0.59 multiply: ( $i * $i ) > $i)).
% 0.37/0.59 tff(identity_type, type, (
% 0.37/0.59 identity: $i)).
% 0.37/0.59 tff(sk_c8_type, type, (
% 0.37/0.59 sk_c8: $i)).
% 0.37/0.59 tff(sk_c5_type, type, (
% 0.37/0.59 sk_c5: $i)).
% 0.37/0.59 tff(sk_c1_type, type, (
% 0.37/0.59 sk_c1: $i)).
% 0.37/0.59 tff(sk_c4_type, type, (
% 0.37/0.59 sk_c4: $i)).
% 0.37/0.59 tff(sk_c6_type, type, (
% 0.37/0.59 sk_c6: $i)).
% 0.37/0.59 tff(sk_c2_type, type, (
% 0.37/0.59 sk_c2: $i)).
% 0.37/0.59 tff(sk_c3_type, type, (
% 0.37/0.59 sk_c3: $i)).
% 0.37/0.59 tff(1,plain,
% 0.37/0.59 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 0.37/0.59 inference(bind,[status(th)],[])).
% 0.37/0.59 tff(2,plain,
% 0.37/0.59 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.37/0.59 inference(quant_intro,[status(thm)],[1])).
% 0.37/0.59 tff(3,plain,
% 0.37/0.59 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.37/0.59 inference(rewrite,[status(thm)],[])).
% 0.37/0.59 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 0.37/0.59 tff(5,plain,
% 0.37/0.59 (![X: $i] : (multiply(identity, X) = X)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.37/0.59 tff(6,plain,(
% 0.37/0.59 ![X: $i] : (multiply(identity, X) = X)),
% 0.37/0.59 inference(skolemize,[status(sab)],[5])).
% 0.37/0.59 tff(7,plain,
% 0.37/0.59 (![X: $i] : (multiply(identity, X) = X)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.37/0.59 tff(8,plain,
% 0.37/0.59 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c9) = sk_c9)),
% 0.37/0.59 inference(quant_inst,[status(thm)],[])).
% 0.37/0.59 tff(9,plain,
% 0.37/0.59 (multiply(identity, sk_c9) = sk_c9),
% 0.37/0.59 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.37/0.59 tff(10,plain,
% 0.37/0.59 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 0.37/0.59 inference(quant_inst,[status(thm)],[])).
% 0.37/0.59 tff(11,plain,
% 0.37/0.59 (multiply(identity, sk_c8) = sk_c8),
% 0.37/0.59 inference(unit_resolution,[status(thm)],[10, 7])).
% 0.37/0.59 tff(12,plain,
% 0.37/0.59 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 0.37/0.59 inference(bind,[status(th)],[])).
% 0.37/0.59 tff(13,plain,
% 0.37/0.59 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.37/0.59 inference(quant_intro,[status(thm)],[12])).
% 0.37/0.59 tff(14,plain,
% 0.37/0.59 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.37/0.59 inference(rewrite,[status(thm)],[])).
% 0.37/0.59 tff(15,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 0.37/0.59 tff(16,plain,
% 0.37/0.59 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.37/0.59 tff(17,plain,(
% 0.37/0.59 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.37/0.59 inference(skolemize,[status(sab)],[16])).
% 0.37/0.59 tff(18,plain,
% 0.37/0.59 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.37/0.59 tff(19,plain,
% 0.37/0.59 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 0.37/0.59 inference(quant_inst,[status(thm)],[])).
% 0.37/0.59 tff(20,plain,
% 0.37/0.59 (multiply(inverse(sk_c5), sk_c5) = identity),
% 0.37/0.59 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.37/0.59 tff(21,plain,
% 0.37/0.59 ((sk_c9 = inverse(sk_c8)) <=> (inverse(sk_c8) = sk_c9)),
% 0.37/0.59 inference(commutativity,[status(thm)],[])).
% 0.37/0.59 tff(22,assumption,(~(multiply(sk_c8, sk_c9) = sk_c7)), introduced(assumption)).
% 0.37/0.59 tff(23,plain,
% 0.37/0.59 (((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c9)) <=> ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c9))),
% 0.37/0.59 inference(rewrite,[status(thm)],[])).
% 0.37/0.59 tff(24,axiom,((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 0.37/0.59 tff(25,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.37/0.59 tff(26,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[25, 23])).
% 0.37/0.59 tff(27,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[26, 23])).
% 0.37/0.59 tff(28,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.37/0.59 tff(29,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[28, 23])).
% 0.37/0.59 tff(30,plain,
% 0.37/0.59 (multiply(sk_c5, sk_c8) = sk_c9),
% 0.37/0.59 inference(unit_resolution,[status(thm)],[29, 22])).
% 0.37/0.59 tff(31,plain,
% 0.37/0.59 (((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 0.37/0.59 inference(rewrite,[status(thm)],[])).
% 0.37/0.59 tff(32,axiom,((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 0.37/0.59 tff(33,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.37/0.59 tff(34,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[33, 31])).
% 0.37/0.59 tff(35,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[34, 31])).
% 0.37/0.59 tff(36,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[35, 31])).
% 0.37/0.59 tff(37,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[36, 31])).
% 0.37/0.59 tff(38,plain,
% 0.37/0.59 (multiply(sk_c4, sk_c8) = sk_c7),
% 0.37/0.59 inference(unit_resolution,[status(thm)],[37, 22])).
% 0.37/0.59 tff(39,plain,
% 0.37/0.59 (((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c4) = sk_c8))),
% 0.37/0.59 inference(rewrite,[status(thm)],[])).
% 0.37/0.59 tff(40,axiom,((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 0.37/0.59 tff(41,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.37/0.59 tff(42,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[41, 39])).
% 0.37/0.59 tff(43,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[42, 39])).
% 0.37/0.59 tff(44,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[43, 39])).
% 0.37/0.59 tff(45,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[44, 39])).
% 0.37/0.59 tff(46,plain,
% 0.37/0.59 (inverse(sk_c4) = sk_c8),
% 0.37/0.59 inference(unit_resolution,[status(thm)],[45, 22])).
% 0.37/0.59 tff(47,plain,
% 0.37/0.59 (((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c6) = sk_c9)) <=> ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c6) = sk_c9))),
% 0.37/0.59 inference(rewrite,[status(thm)],[])).
% 0.37/0.59 tff(48,axiom,((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c6) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 0.37/0.59 tff(49,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c6) = sk_c9)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.37/0.59 tff(50,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c6) = sk_c9)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[49, 47])).
% 0.37/0.59 tff(51,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c6) = sk_c9)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[50, 47])).
% 0.37/0.59 tff(52,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c6) = sk_c9)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[51, 47])).
% 0.37/0.59 tff(53,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c6) = sk_c9)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[52, 47])).
% 0.37/0.59 tff(54,plain,
% 0.37/0.59 (inverse(sk_c6) = sk_c9),
% 0.37/0.59 inference(unit_resolution,[status(thm)],[53, 22])).
% 0.37/0.59 tff(55,plain,
% 0.37/0.59 (((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c5) = sk_c8))),
% 0.37/0.59 inference(rewrite,[status(thm)],[])).
% 0.37/0.59 tff(56,axiom,((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 0.37/0.59 tff(57,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.37/0.59 tff(58,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[57, 55])).
% 0.37/0.59 tff(59,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[58, 55])).
% 0.37/0.59 tff(60,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.37/0.59 tff(61,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[60, 55])).
% 0.37/0.59 tff(62,plain,
% 0.37/0.59 (inverse(sk_c5) = sk_c8),
% 0.37/0.59 inference(unit_resolution,[status(thm)],[61, 22])).
% 0.37/0.59 tff(63,plain,
% 0.37/0.59 (((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c6, sk_c9) = sk_c7)) <=> ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c6, sk_c9) = sk_c7))),
% 0.37/0.59 inference(rewrite,[status(thm)],[])).
% 0.37/0.59 tff(64,axiom,((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c6, sk_c9) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_6')).
% 0.37/0.59 tff(65,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.37/0.59 tff(66,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[65, 63])).
% 0.37/0.59 tff(67,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[66, 63])).
% 0.37/0.59 tff(68,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[67, 63])).
% 0.37/0.59 tff(69,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[68, 63])).
% 0.37/0.59 tff(70,plain,
% 0.37/0.59 (multiply(sk_c6, sk_c9) = sk_c7),
% 0.37/0.59 inference(unit_resolution,[status(thm)],[69, 22])).
% 0.37/0.59 tff(71,plain,
% 0.37/0.59 (((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c8) = sk_c7)) <=> ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c8) = sk_c7))),
% 0.37/0.59 inference(rewrite,[status(thm)],[])).
% 0.37/0.59 tff(72,axiom,((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 0.37/0.59 tff(73,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.37/0.59 tff(74,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[73, 71])).
% 0.37/0.59 tff(75,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[74, 71])).
% 0.37/0.59 tff(76,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[75, 71])).
% 0.37/0.59 tff(77,plain,
% 0.37/0.59 ((multiply(sk_c8, sk_c9) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 0.37/0.59 inference(modus_ponens,[status(thm)],[76, 71])).
% 0.37/0.59 tff(78,plain,
% 0.37/0.59 (inverse(sk_c8) = sk_c7),
% 0.37/0.59 inference(unit_resolution,[status(thm)],[77, 22])).
% 0.37/0.59 tff(79,assumption,(inverse(sk_c5) = sk_c8), introduced(assumption)).
% 0.37/0.59 tff(80,plain,
% 0.37/0.59 (sk_c8 = inverse(sk_c5)),
% 0.37/0.59 inference(symmetry,[status(thm)],[79])).
% 0.37/0.59 tff(81,plain,
% 0.37/0.59 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.37/0.59 inference(monotonicity,[status(thm)],[80])).
% 0.37/0.59 tff(82,plain,
% 0.37/0.59 (multiply(sk_c8, sk_c5) = identity),
% 0.37/0.59 inference(transitivity,[status(thm)],[81, 20])).
% 0.37/0.59 tff(83,plain,
% 0.37/0.59 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 0.37/0.59 inference(monotonicity,[status(thm)],[82])).
% 0.37/0.59 tff(84,plain,
% 0.37/0.59 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 0.37/0.59 inference(symmetry,[status(thm)],[81])).
% 0.37/0.59 tff(85,plain,
% 0.37/0.59 (identity = multiply(inverse(sk_c5), sk_c5)),
% 0.37/0.59 inference(symmetry,[status(thm)],[20])).
% 0.37/0.59 tff(86,plain,
% 0.37/0.59 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c6), sk_c6) = identity)),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(87,plain,
% 0.37/0.60 (multiply(inverse(sk_c6), sk_c6) = identity),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[86, 18])).
% 0.37/0.60 tff(88,assumption,(inverse(sk_c6) = sk_c9), introduced(assumption)).
% 0.37/0.60 tff(89,plain,
% 0.37/0.60 (sk_c9 = inverse(sk_c6)),
% 0.37/0.60 inference(symmetry,[status(thm)],[88])).
% 0.37/0.60 tff(90,plain,
% 0.37/0.60 (multiply(sk_c9, sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.37/0.60 inference(monotonicity,[status(thm)],[89])).
% 0.37/0.60 tff(91,plain,
% 0.37/0.60 (multiply(sk_c9, sk_c6) = multiply(sk_c8, sk_c5)),
% 0.37/0.60 inference(transitivity,[status(thm)],[90, 87, 85, 84])).
% 0.37/0.60 tff(92,plain,
% 0.37/0.60 (multiply(multiply(sk_c9, sk_c6), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.37/0.60 inference(monotonicity,[status(thm)],[91])).
% 0.37/0.60 tff(93,plain,
% 0.37/0.60 (^[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))))),
% 0.37/0.60 inference(bind,[status(th)],[])).
% 0.37/0.60 tff(94,plain,
% 0.37/0.60 (![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)))),
% 0.37/0.60 inference(quant_intro,[status(thm)],[93])).
% 0.37/0.60 tff(95,plain,
% 0.37/0.60 (![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)))),
% 0.37/0.60 inference(rewrite,[status(thm)],[])).
% 0.37/0.60 tff(96,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','associativity')).
% 0.37/0.60 tff(97,plain,
% 0.37/0.60 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.37/0.60 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.37/0.60 tff(98,plain,(
% 0.37/0.60 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.37/0.60 inference(skolemize,[status(sab)],[97])).
% 0.37/0.60 tff(99,plain,
% 0.37/0.60 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.37/0.60 inference(modus_ponens,[status(thm)],[98, 94])).
% 0.37/0.60 tff(100,plain,
% 0.37/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c6), sk_c8) = multiply(sk_c9, multiply(sk_c6, sk_c8)))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(101,plain,
% 0.37/0.60 (multiply(multiply(sk_c9, sk_c6), sk_c8) = multiply(sk_c9, multiply(sk_c6, sk_c8))),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[100, 99])).
% 0.37/0.60 tff(102,plain,
% 0.37/0.60 (multiply(sk_c9, multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c9, sk_c6), sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[101])).
% 0.37/0.60 tff(103,assumption,(multiply(sk_c5, sk_c8) = sk_c9), introduced(assumption)).
% 0.37/0.60 tff(104,plain,
% 0.37/0.60 (multiply(multiply(sk_c5, sk_c8), multiply(sk_c6, sk_c8)) = multiply(sk_c9, multiply(sk_c6, sk_c8))),
% 0.37/0.60 inference(monotonicity,[status(thm)],[103])).
% 0.37/0.60 tff(105,plain,
% 0.37/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), multiply(sk_c6, sk_c8)) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c6, sk_c8))))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(106,plain,
% 0.37/0.60 (multiply(multiply(sk_c5, sk_c8), multiply(sk_c6, sk_c8)) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c6, sk_c8)))),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[105, 99])).
% 0.37/0.60 tff(107,plain,
% 0.37/0.60 (multiply(sk_c5, multiply(sk_c8, multiply(sk_c6, sk_c8))) = multiply(multiply(sk_c5, sk_c8), multiply(sk_c6, sk_c8))),
% 0.37/0.60 inference(symmetry,[status(thm)],[106])).
% 0.37/0.60 tff(108,plain,
% 0.37/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8)))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(109,plain,
% 0.37/0.60 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[108, 99])).
% 0.37/0.60 tff(110,plain,
% 0.37/0.60 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[109])).
% 0.37/0.60 tff(111,plain,
% 0.37/0.60 (sk_c9 = multiply(sk_c5, sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[103])).
% 0.37/0.60 tff(112,plain,
% 0.37/0.60 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 0.37/0.60 inference(monotonicity,[status(thm)],[111])).
% 0.37/0.60 tff(113,plain,
% 0.37/0.60 (multiply(sk_c8, sk_c9) = sk_c8),
% 0.37/0.60 inference(transitivity,[status(thm)],[112, 110, 83, 11])).
% 0.37/0.60 tff(114,plain,
% 0.37/0.60 (multiply(multiply(sk_c8, sk_c9), multiply(sk_c6, sk_c8)) = multiply(sk_c8, multiply(sk_c6, sk_c8))),
% 0.37/0.60 inference(monotonicity,[status(thm)],[113])).
% 0.37/0.60 tff(115,plain,
% 0.37/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c9), multiply(sk_c6, sk_c8)) = multiply(sk_c8, multiply(sk_c9, multiply(sk_c6, sk_c8))))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(116,plain,
% 0.37/0.60 (multiply(multiply(sk_c8, sk_c9), multiply(sk_c6, sk_c8)) = multiply(sk_c8, multiply(sk_c9, multiply(sk_c6, sk_c8)))),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[115, 99])).
% 0.37/0.60 tff(117,plain,
% 0.37/0.60 (multiply(sk_c8, multiply(sk_c9, multiply(sk_c6, sk_c8))) = multiply(multiply(sk_c8, sk_c9), multiply(sk_c6, sk_c8))),
% 0.37/0.60 inference(symmetry,[status(thm)],[116])).
% 0.37/0.60 tff(118,plain,
% 0.37/0.60 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c9, sk_c6), sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[92])).
% 0.37/0.60 tff(119,plain,
% 0.37/0.60 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[83])).
% 0.37/0.60 tff(120,plain,
% 0.37/0.60 (sk_c8 = multiply(identity, sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[11])).
% 0.37/0.60 tff(121,plain,
% 0.37/0.60 (sk_c8 = multiply(sk_c9, multiply(sk_c6, sk_c8))),
% 0.37/0.60 inference(transitivity,[status(thm)],[120, 119, 118, 101])).
% 0.37/0.60 tff(122,plain,
% 0.37/0.60 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c9, multiply(sk_c6, sk_c8)))),
% 0.37/0.60 inference(monotonicity,[status(thm)],[121])).
% 0.37/0.60 tff(123,plain,
% 0.37/0.60 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(124,plain,
% 0.37/0.60 (multiply(inverse(sk_c4), sk_c4) = identity),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[123, 18])).
% 0.37/0.60 tff(125,assumption,(inverse(sk_c4) = sk_c8), introduced(assumption)).
% 0.37/0.60 tff(126,plain,
% 0.37/0.60 (sk_c8 = inverse(sk_c4)),
% 0.37/0.60 inference(symmetry,[status(thm)],[125])).
% 0.37/0.60 tff(127,plain,
% 0.37/0.60 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.37/0.60 inference(monotonicity,[status(thm)],[126])).
% 0.37/0.60 tff(128,plain,
% 0.37/0.60 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 0.37/0.60 inference(transitivity,[status(thm)],[127, 124, 85, 84])).
% 0.37/0.60 tff(129,plain,
% 0.37/0.60 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.37/0.60 inference(monotonicity,[status(thm)],[128])).
% 0.37/0.60 tff(130,plain,
% 0.37/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(131,plain,
% 0.37/0.60 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[130, 99])).
% 0.37/0.60 tff(132,plain,
% 0.37/0.60 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[131])).
% 0.37/0.60 tff(133,assumption,(multiply(sk_c4, sk_c8) = sk_c7), introduced(assumption)).
% 0.37/0.60 tff(134,plain,
% 0.37/0.60 (sk_c7 = multiply(sk_c4, sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[133])).
% 0.37/0.60 tff(135,plain,
% 0.37/0.60 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 0.37/0.60 inference(monotonicity,[status(thm)],[134])).
% 0.37/0.60 tff(136,plain,
% 0.37/0.60 (multiply(sk_c8, sk_c7) = sk_c8),
% 0.37/0.60 inference(transitivity,[status(thm)],[135, 132, 129, 83, 11])).
% 0.37/0.60 tff(137,plain,
% 0.37/0.60 (multiply(multiply(sk_c8, sk_c7), sk_c8) = multiply(sk_c8, sk_c8)),
% 0.37/0.60 inference(monotonicity,[status(thm)],[136])).
% 0.37/0.60 tff(138,plain,
% 0.37/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c8)))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(139,plain,
% 0.37/0.60 (multiply(multiply(sk_c8, sk_c7), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c8))),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[138, 99])).
% 0.37/0.60 tff(140,plain,
% 0.37/0.60 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c8, sk_c7), sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[139])).
% 0.37/0.60 tff(141,assumption,(inverse(sk_c8) = sk_c7), introduced(assumption)).
% 0.37/0.60 tff(142,plain,
% 0.37/0.60 (sk_c7 = inverse(sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[141])).
% 0.37/0.60 tff(143,plain,
% 0.37/0.60 (multiply(sk_c7, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.37/0.60 inference(monotonicity,[status(thm)],[142])).
% 0.37/0.60 tff(144,plain,
% 0.37/0.60 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[143])).
% 0.37/0.60 tff(145,plain,
% 0.37/0.60 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c8), sk_c8) = identity)),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(146,plain,
% 0.37/0.60 (multiply(inverse(sk_c8), sk_c8) = identity),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[145, 18])).
% 0.37/0.60 tff(147,plain,
% 0.37/0.60 (identity = multiply(inverse(sk_c8), sk_c8)),
% 0.37/0.60 inference(symmetry,[status(thm)],[146])).
% 0.37/0.60 tff(148,plain,
% 0.37/0.60 (multiply(sk_c9, sk_c6) = multiply(sk_c7, sk_c8)),
% 0.37/0.60 inference(transitivity,[status(thm)],[90, 87, 147, 144])).
% 0.37/0.60 tff(149,plain,
% 0.37/0.60 (multiply(sk_c8, multiply(sk_c9, sk_c6)) = multiply(sk_c8, multiply(sk_c7, sk_c8))),
% 0.37/0.60 inference(monotonicity,[status(thm)],[148])).
% 0.37/0.60 tff(150,plain,
% 0.37/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c9), sk_c6) = multiply(sk_c8, multiply(sk_c9, sk_c6)))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(151,plain,
% 0.37/0.60 (multiply(multiply(sk_c8, sk_c9), sk_c6) = multiply(sk_c8, multiply(sk_c9, sk_c6))),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[150, 99])).
% 0.37/0.60 tff(152,plain,
% 0.37/0.60 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c9)),
% 0.37/0.60 inference(symmetry,[status(thm)],[112])).
% 0.37/0.60 tff(153,plain,
% 0.37/0.60 (sk_c8 = multiply(sk_c8, sk_c9)),
% 0.37/0.60 inference(transitivity,[status(thm)],[120, 119, 109, 152])).
% 0.37/0.60 tff(154,plain,
% 0.37/0.60 (multiply(sk_c8, sk_c6) = multiply(multiply(sk_c8, sk_c9), sk_c6)),
% 0.37/0.60 inference(monotonicity,[status(thm)],[153])).
% 0.37/0.60 tff(155,plain,
% 0.37/0.60 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c6, sk_c8))),
% 0.37/0.60 inference(transitivity,[status(thm)],[154, 151, 149, 140, 137, 122, 117, 114])).
% 0.37/0.60 tff(156,plain,
% 0.37/0.60 (multiply(sk_c5, multiply(sk_c8, sk_c6)) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c6, sk_c8)))),
% 0.37/0.60 inference(monotonicity,[status(thm)],[155])).
% 0.37/0.60 tff(157,plain,
% 0.37/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c6) = multiply(sk_c5, multiply(sk_c8, sk_c6)))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(158,plain,
% 0.37/0.60 (multiply(multiply(sk_c5, sk_c8), sk_c6) = multiply(sk_c5, multiply(sk_c8, sk_c6))),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[157, 99])).
% 0.37/0.60 tff(159,plain,
% 0.37/0.60 (inverse(sk_c6) = multiply(sk_c5, sk_c8)),
% 0.37/0.60 inference(transitivity,[status(thm)],[88, 111])).
% 0.37/0.60 tff(160,plain,
% 0.37/0.60 (multiply(inverse(sk_c6), sk_c6) = multiply(multiply(sk_c5, sk_c8), sk_c6)),
% 0.37/0.60 inference(monotonicity,[status(thm)],[159])).
% 0.37/0.60 tff(161,plain,
% 0.37/0.60 (identity = multiply(inverse(sk_c6), sk_c6)),
% 0.37/0.60 inference(symmetry,[status(thm)],[87])).
% 0.37/0.60 tff(162,plain,
% 0.37/0.60 (multiply(sk_c9, multiply(sk_c6, sk_c8)) = sk_c8),
% 0.37/0.60 inference(transitivity,[status(thm)],[102, 92, 83, 11])).
% 0.37/0.60 tff(163,plain,
% 0.37/0.60 (multiply(sk_c7, multiply(sk_c9, multiply(sk_c6, sk_c8))) = multiply(inverse(sk_c8), sk_c8)),
% 0.37/0.60 inference(monotonicity,[status(thm)],[142, 162])).
% 0.37/0.60 tff(164,plain,
% 0.37/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c9), multiply(sk_c6, sk_c8)) = multiply(sk_c7, multiply(sk_c9, multiply(sk_c6, sk_c8))))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(165,plain,
% 0.37/0.60 (multiply(multiply(sk_c7, sk_c9), multiply(sk_c6, sk_c8)) = multiply(sk_c7, multiply(sk_c9, multiply(sk_c6, sk_c8)))),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[164, 99])).
% 0.37/0.60 tff(166,plain,
% 0.37/0.60 (multiply(sk_c7, sk_c9) = multiply(multiply(sk_c4, sk_c8), sk_c9)),
% 0.37/0.60 inference(monotonicity,[status(thm)],[134])).
% 0.37/0.60 tff(167,plain,
% 0.37/0.60 (multiply(multiply(sk_c4, sk_c8), sk_c9) = multiply(sk_c7, sk_c9)),
% 0.37/0.60 inference(symmetry,[status(thm)],[166])).
% 0.37/0.60 tff(168,plain,
% 0.37/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c9) = multiply(sk_c4, multiply(sk_c8, sk_c9)))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(169,plain,
% 0.37/0.60 (multiply(multiply(sk_c4, sk_c8), sk_c9) = multiply(sk_c4, multiply(sk_c8, sk_c9))),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[168, 99])).
% 0.37/0.60 tff(170,plain,
% 0.37/0.60 (multiply(sk_c4, multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c4, sk_c8), sk_c9)),
% 0.37/0.60 inference(symmetry,[status(thm)],[169])).
% 0.37/0.60 tff(171,plain,
% 0.37/0.60 (multiply(sk_c4, multiply(sk_c8, sk_c9)) = multiply(sk_c4, sk_c8)),
% 0.37/0.60 inference(monotonicity,[status(thm)],[113])).
% 0.37/0.60 tff(172,plain,
% 0.37/0.60 (multiply(sk_c4, sk_c8) = multiply(sk_c4, multiply(sk_c8, sk_c9))),
% 0.37/0.60 inference(symmetry,[status(thm)],[171])).
% 0.37/0.60 tff(173,assumption,(multiply(sk_c6, sk_c9) = sk_c7), introduced(assumption)).
% 0.37/0.60 tff(174,plain,
% 0.37/0.60 (multiply(sk_c6, sk_c9) = multiply(sk_c7, sk_c9)),
% 0.37/0.60 inference(transitivity,[status(thm)],[173, 134, 172, 170, 167])).
% 0.37/0.60 tff(175,plain,
% 0.37/0.60 (multiply(multiply(sk_c6, sk_c9), multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c7, sk_c9), multiply(sk_c6, sk_c8))),
% 0.37/0.60 inference(monotonicity,[status(thm)],[174])).
% 0.37/0.60 tff(176,plain,
% 0.37/0.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c9), multiply(sk_c6, sk_c8)) = multiply(sk_c6, multiply(sk_c9, multiply(sk_c6, sk_c8))))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(177,plain,
% 0.37/0.60 (multiply(multiply(sk_c6, sk_c9), multiply(sk_c6, sk_c8)) = multiply(sk_c6, multiply(sk_c9, multiply(sk_c6, sk_c8)))),
% 0.37/0.60 inference(unit_resolution,[status(thm)],[176, 99])).
% 0.37/0.60 tff(178,plain,
% 0.37/0.60 (multiply(sk_c6, multiply(sk_c9, multiply(sk_c6, sk_c8))) = multiply(multiply(sk_c6, sk_c9), multiply(sk_c6, sk_c8))),
% 0.37/0.61 inference(symmetry,[status(thm)],[177])).
% 0.37/0.61 tff(179,plain,
% 0.37/0.61 (multiply(sk_c6, sk_c8) = multiply(sk_c6, multiply(sk_c9, multiply(sk_c6, sk_c8)))),
% 0.37/0.61 inference(monotonicity,[status(thm)],[121])).
% 0.37/0.61 tff(180,plain,
% 0.37/0.61 (multiply(multiply(sk_c5, sk_c8), sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.37/0.61 inference(symmetry,[status(thm)],[160])).
% 0.37/0.61 tff(181,plain,
% 0.37/0.61 (multiply(sk_c5, multiply(sk_c8, sk_c6)) = multiply(multiply(sk_c5, sk_c8), sk_c6)),
% 0.37/0.61 inference(symmetry,[status(thm)],[158])).
% 0.37/0.61 tff(182,plain,
% 0.37/0.61 (multiply(sk_c5, multiply(sk_c8, sk_c6)) = multiply(sk_c8, sk_c5)),
% 0.37/0.61 inference(transitivity,[status(thm)],[181, 180, 87, 85, 84])).
% 0.37/0.61 tff(183,plain,
% 0.37/0.61 (multiply(multiply(sk_c5, multiply(sk_c8, sk_c6)), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.37/0.61 inference(monotonicity,[status(thm)],[182])).
% 0.37/0.61 tff(184,plain,
% 0.37/0.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c8, sk_c6)), sk_c8) = multiply(sk_c5, multiply(multiply(sk_c8, sk_c6), sk_c8)))),
% 0.37/0.61 inference(quant_inst,[status(thm)],[])).
% 0.37/0.61 tff(185,plain,
% 0.37/0.61 (multiply(multiply(sk_c5, multiply(sk_c8, sk_c6)), sk_c8) = multiply(sk_c5, multiply(multiply(sk_c8, sk_c6), sk_c8))),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[184, 99])).
% 0.37/0.61 tff(186,plain,
% 0.37/0.61 (multiply(sk_c5, multiply(multiply(sk_c8, sk_c6), sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c6)), sk_c8)),
% 0.37/0.61 inference(symmetry,[status(thm)],[185])).
% 0.37/0.61 tff(187,plain,
% 0.37/0.61 (multiply(sk_c5, multiply(multiply(sk_c8, sk_c6), sk_c8)) = sk_c8),
% 0.37/0.61 inference(transitivity,[status(thm)],[186, 183, 83, 11])).
% 0.37/0.61 tff(188,plain,
% 0.37/0.61 (multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c8, sk_c6), sk_c8))) = multiply(sk_c6, sk_c8)),
% 0.37/0.61 inference(monotonicity,[status(thm)],[187])).
% 0.37/0.61 tff(189,plain,
% 0.37/0.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c5), multiply(multiply(sk_c8, sk_c6), sk_c8)) = multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c8, sk_c6), sk_c8))))),
% 0.37/0.61 inference(quant_inst,[status(thm)],[])).
% 0.37/0.61 tff(190,plain,
% 0.37/0.61 (multiply(multiply(sk_c6, sk_c5), multiply(multiply(sk_c8, sk_c6), sk_c8)) = multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c8, sk_c6), sk_c8)))),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[189, 99])).
% 0.37/0.61 tff(191,plain,
% 0.37/0.61 (multiply(multiply(sk_c8, sk_c6), sk_c8) = multiply(multiply(sk_c8, sk_c6), multiply(sk_c8, sk_c9))),
% 0.37/0.61 inference(monotonicity,[status(thm)],[153])).
% 0.37/0.61 tff(192,plain,
% 0.37/0.61 (multiply(multiply(sk_c8, sk_c6), multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c8, sk_c6), sk_c8)),
% 0.37/0.61 inference(symmetry,[status(thm)],[191])).
% 0.37/0.61 tff(193,plain,
% 0.37/0.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, sk_c6), sk_c8), sk_c9) = multiply(multiply(sk_c8, sk_c6), multiply(sk_c8, sk_c9)))),
% 0.37/0.61 inference(quant_inst,[status(thm)],[])).
% 0.37/0.61 tff(194,plain,
% 0.37/0.61 (multiply(multiply(multiply(sk_c8, sk_c6), sk_c8), sk_c9) = multiply(multiply(sk_c8, sk_c6), multiply(sk_c8, sk_c9))),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[193, 99])).
% 0.37/0.61 tff(195,plain,
% 0.37/0.61 (multiply(multiply(sk_c8, sk_c9), sk_c6) = multiply(sk_c8, sk_c6)),
% 0.37/0.61 inference(symmetry,[status(thm)],[154])).
% 0.37/0.61 tff(196,plain,
% 0.37/0.61 (multiply(sk_c8, multiply(sk_c9, sk_c6)) = multiply(multiply(sk_c8, sk_c9), sk_c6)),
% 0.37/0.61 inference(symmetry,[status(thm)],[151])).
% 0.37/0.61 tff(197,plain,
% 0.37/0.61 (multiply(sk_c8, multiply(sk_c7, sk_c8)) = multiply(sk_c8, multiply(sk_c9, sk_c6))),
% 0.37/0.61 inference(symmetry,[status(thm)],[149])).
% 0.37/0.61 tff(198,plain,
% 0.37/0.61 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c8, sk_c7), sk_c8)),
% 0.37/0.61 inference(symmetry,[status(thm)],[137])).
% 0.37/0.61 tff(199,plain,
% 0.37/0.61 (multiply(sk_c8, multiply(sk_c9, multiply(sk_c6, sk_c8))) = multiply(sk_c8, sk_c8)),
% 0.37/0.61 inference(symmetry,[status(thm)],[122])).
% 0.37/0.61 tff(200,plain,
% 0.37/0.61 (multiply(sk_c8, multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c8, sk_c9), multiply(sk_c6, sk_c8))),
% 0.37/0.61 inference(symmetry,[status(thm)],[114])).
% 0.37/0.61 tff(201,plain,
% 0.37/0.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c6), sk_c8) = multiply(sk_c8, multiply(sk_c6, sk_c8)))),
% 0.37/0.61 inference(quant_inst,[status(thm)],[])).
% 0.37/0.61 tff(202,plain,
% 0.37/0.61 (multiply(multiply(sk_c8, sk_c6), sk_c8) = multiply(sk_c8, multiply(sk_c6, sk_c8))),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[201, 99])).
% 0.37/0.61 tff(203,plain,
% 0.37/0.61 (multiply(multiply(sk_c8, sk_c6), sk_c8) = multiply(sk_c8, sk_c6)),
% 0.37/0.61 inference(transitivity,[status(thm)],[202, 200, 116, 199, 198, 139, 197, 196, 195])).
% 0.37/0.61 tff(204,plain,
% 0.37/0.61 (multiply(multiply(multiply(sk_c8, sk_c6), sk_c8), sk_c9) = multiply(multiply(sk_c8, sk_c6), sk_c9)),
% 0.37/0.61 inference(monotonicity,[status(thm)],[203])).
% 0.37/0.61 tff(205,plain,
% 0.37/0.61 (multiply(multiply(sk_c8, sk_c6), sk_c9) = multiply(multiply(multiply(sk_c8, sk_c6), sk_c8), sk_c9)),
% 0.37/0.61 inference(symmetry,[status(thm)],[204])).
% 0.37/0.61 tff(206,plain,
% 0.37/0.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c6), sk_c9) = multiply(sk_c8, multiply(sk_c6, sk_c9)))),
% 0.37/0.61 inference(quant_inst,[status(thm)],[])).
% 0.37/0.61 tff(207,plain,
% 0.37/0.61 (multiply(multiply(sk_c8, sk_c6), sk_c9) = multiply(sk_c8, multiply(sk_c6, sk_c9))),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[206, 99])).
% 0.37/0.61 tff(208,plain,
% 0.37/0.61 (multiply(sk_c8, multiply(sk_c6, sk_c9)) = multiply(multiply(sk_c8, sk_c6), sk_c9)),
% 0.37/0.61 inference(symmetry,[status(thm)],[207])).
% 0.37/0.61 tff(209,plain,
% 0.37/0.61 (multiply(sk_c6, sk_c9) = multiply(sk_c4, sk_c8)),
% 0.37/0.61 inference(transitivity,[status(thm)],[173, 134])).
% 0.37/0.61 tff(210,plain,
% 0.37/0.61 (multiply(sk_c8, multiply(sk_c6, sk_c9)) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 0.37/0.61 inference(monotonicity,[status(thm)],[209])).
% 0.37/0.61 tff(211,plain,
% 0.37/0.61 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, multiply(sk_c6, sk_c9))),
% 0.37/0.61 inference(symmetry,[status(thm)],[210])).
% 0.37/0.61 tff(212,plain,
% 0.37/0.61 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 0.37/0.61 inference(symmetry,[status(thm)],[129])).
% 0.37/0.61 tff(213,plain,
% 0.37/0.61 (sk_c8 = multiply(multiply(sk_c8, sk_c6), sk_c8)),
% 0.37/0.61 inference(transitivity,[status(thm)],[120, 119, 212, 131, 211, 208, 205, 194, 192])).
% 0.37/0.61 tff(214,plain,
% 0.37/0.61 (multiply(multiply(sk_c6, sk_c5), sk_c8) = multiply(multiply(sk_c6, sk_c5), multiply(multiply(sk_c8, sk_c6), sk_c8))),
% 0.37/0.61 inference(monotonicity,[status(thm)],[213])).
% 0.37/0.61 tff(215,plain,
% 0.37/0.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c5), sk_c8) = multiply(sk_c6, multiply(sk_c5, sk_c8)))),
% 0.37/0.61 inference(quant_inst,[status(thm)],[])).
% 0.37/0.61 tff(216,plain,
% 0.37/0.61 (multiply(multiply(sk_c6, sk_c5), sk_c8) = multiply(sk_c6, multiply(sk_c5, sk_c8))),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[215, 99])).
% 0.37/0.61 tff(217,plain,
% 0.37/0.61 (multiply(sk_c6, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c6, sk_c5), sk_c8)),
% 0.37/0.61 inference(symmetry,[status(thm)],[216])).
% 0.37/0.61 tff(218,plain,
% 0.37/0.61 (multiply(sk_c6, sk_c9) = multiply(sk_c6, multiply(sk_c5, sk_c8))),
% 0.37/0.61 inference(monotonicity,[status(thm)],[111])).
% 0.37/0.61 tff(219,plain,
% 0.37/0.61 (sk_c7 = multiply(sk_c6, sk_c9)),
% 0.37/0.61 inference(symmetry,[status(thm)],[173])).
% 0.37/0.61 tff(220,plain,
% 0.37/0.61 (inverse(sk_c8) = sk_c8),
% 0.37/0.61 inference(transitivity,[status(thm)],[141, 219, 218, 217, 214, 190, 188, 179, 178, 175, 165, 163, 146, 161, 160, 158, 156, 107, 104, 102, 92, 83, 11])).
% 0.37/0.61 tff(221,plain,
% 0.37/0.61 ((sk_c8 = inverse(sk_c8)) <=> (inverse(sk_c8) = sk_c8)),
% 0.37/0.61 inference(commutativity,[status(thm)],[])).
% 0.37/0.61 tff(222,plain,
% 0.37/0.61 ((multiply(sk_c8, sk_c9) = sk_c7) <=> (sk_c8 = inverse(sk_c8))),
% 0.37/0.61 inference(monotonicity,[status(thm)],[113, 142])).
% 0.37/0.61 tff(223,plain,
% 0.37/0.61 ((multiply(sk_c8, sk_c9) = sk_c7) <=> (inverse(sk_c8) = sk_c8)),
% 0.37/0.61 inference(transitivity,[status(thm)],[222, 221])).
% 0.37/0.61 tff(224,plain,
% 0.37/0.61 ((~(multiply(sk_c8, sk_c9) = sk_c7)) <=> (~(inverse(sk_c8) = sk_c8))),
% 0.37/0.61 inference(monotonicity,[status(thm)],[223])).
% 0.37/0.61 tff(225,plain,
% 0.37/0.61 (~(inverse(sk_c8) = sk_c8)),
% 0.37/0.61 inference(modus_ponens,[status(thm)],[22, 224])).
% 0.37/0.61 tff(226,plain,
% 0.37/0.61 ($false),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[225, 220])).
% 0.37/0.61 tff(227,plain,((multiply(sk_c8, sk_c9) = sk_c7) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c6) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c9))), inference(lemma,lemma(discharge,[]))).
% 0.37/0.61 tff(228,plain,
% 0.37/0.61 ($false),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[227, 78, 22, 70, 62, 54, 46, 38, 30])).
% 0.37/0.61 tff(229,plain,(multiply(sk_c8, sk_c9) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.37/0.61 tff(230,assumption,(~(inverse(sk_c8) = sk_c7)), introduced(assumption)).
% 0.37/0.61 tff(231,plain,
% 0.37/0.61 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c8) = sk_c9)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c8) = sk_c9))),
% 0.37/0.61 inference(rewrite,[status(thm)],[])).
% 0.37/0.61 tff(232,plain,
% 0.37/0.61 (((multiply(sk_c1, sk_c8) = sk_c9) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c8) = sk_c9))),
% 0.37/0.61 inference(rewrite,[status(thm)],[])).
% 0.37/0.61 tff(233,axiom,((multiply(sk_c1, sk_c8) = sk_c9) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 0.37/0.61 tff(234,plain,
% 0.37/0.61 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c8) = sk_c9)),
% 0.37/0.61 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.37/0.61 tff(235,plain,
% 0.37/0.61 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c8) = sk_c9)),
% 0.37/0.61 inference(modus_ponens,[status(thm)],[234, 231])).
% 0.37/0.61 tff(236,plain,
% 0.37/0.61 (multiply(sk_c1, sk_c8) = sk_c9),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[235, 230])).
% 0.37/0.61 tff(237,plain,
% 0.37/0.61 (sk_c9 = multiply(sk_c1, sk_c8)),
% 0.37/0.61 inference(symmetry,[status(thm)],[236])).
% 0.37/0.61 tff(238,plain,
% 0.37/0.61 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 0.37/0.61 inference(monotonicity,[status(thm)],[237])).
% 0.37/0.61 tff(239,plain,
% 0.37/0.61 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(sk_c8, sk_c9)),
% 0.37/0.61 inference(symmetry,[status(thm)],[238])).
% 0.37/0.61 tff(240,plain,
% 0.37/0.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(sk_c8, multiply(sk_c1, sk_c8)))),
% 0.37/0.61 inference(quant_inst,[status(thm)],[])).
% 0.37/0.61 tff(241,plain,
% 0.37/0.61 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[240, 99])).
% 0.37/0.61 tff(242,plain,
% 0.37/0.61 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7))),
% 0.37/0.61 inference(rewrite,[status(thm)],[])).
% 0.37/0.61 tff(243,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 0.37/0.61 tff(244,plain,
% 0.37/0.61 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 0.37/0.61 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.37/0.61 tff(245,plain,
% 0.37/0.61 (inverse(sk_c1) = sk_c8),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[244, 230])).
% 0.37/0.61 tff(246,plain,
% 0.37/0.61 (sk_c8 = inverse(sk_c1)),
% 0.37/0.61 inference(symmetry,[status(thm)],[245])).
% 0.37/0.61 tff(247,plain,
% 0.37/0.61 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.37/0.61 inference(monotonicity,[status(thm)],[246])).
% 0.37/0.61 tff(248,plain,
% 0.37/0.61 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 0.37/0.61 inference(symmetry,[status(thm)],[247])).
% 0.37/0.61 tff(249,plain,
% 0.37/0.61 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 0.37/0.61 inference(quant_inst,[status(thm)],[])).
% 0.37/0.61 tff(250,plain,
% 0.37/0.61 (multiply(inverse(sk_c1), sk_c1) = identity),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[249, 18])).
% 0.37/0.61 tff(251,plain,
% 0.37/0.61 (identity = multiply(inverse(sk_c1), sk_c1)),
% 0.37/0.61 inference(symmetry,[status(thm)],[250])).
% 0.37/0.61 tff(252,plain,
% 0.37/0.61 (identity = multiply(sk_c8, sk_c1)),
% 0.37/0.61 inference(transitivity,[status(thm)],[251, 248])).
% 0.37/0.61 tff(253,plain,
% 0.37/0.61 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 0.37/0.61 inference(monotonicity,[status(thm)],[252])).
% 0.37/0.61 tff(254,plain,
% 0.37/0.61 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 0.37/0.61 inference(quant_inst,[status(thm)],[])).
% 0.37/0.61 tff(255,plain,
% 0.37/0.61 (multiply(identity, sk_c1) = sk_c1),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[254, 7])).
% 0.37/0.61 tff(256,plain,
% 0.37/0.61 (((inverse(sk_c2) = sk_c9) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c2) = sk_c9) | (inverse(sk_c8) = sk_c7))),
% 0.37/0.61 inference(rewrite,[status(thm)],[])).
% 0.37/0.61 tff(257,axiom,((inverse(sk_c2) = sk_c9) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_36')).
% 0.37/0.61 tff(258,plain,
% 0.37/0.61 ((inverse(sk_c2) = sk_c9) | (inverse(sk_c8) = sk_c7)),
% 0.37/0.61 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.37/0.61 tff(259,plain,
% 0.37/0.61 (inverse(sk_c2) = sk_c9),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[258, 230])).
% 0.37/0.61 tff(260,plain,
% 0.37/0.61 (sk_c9 = inverse(sk_c2)),
% 0.37/0.61 inference(symmetry,[status(thm)],[259])).
% 0.37/0.61 tff(261,plain,
% 0.37/0.61 (multiply(sk_c9, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.37/0.61 inference(monotonicity,[status(thm)],[260])).
% 0.37/0.61 tff(262,plain,
% 0.37/0.61 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c9, sk_c2)),
% 0.37/0.61 inference(symmetry,[status(thm)],[261])).
% 0.37/0.61 tff(263,plain,
% 0.37/0.61 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 0.37/0.61 inference(quant_inst,[status(thm)],[])).
% 0.37/0.61 tff(264,plain,
% 0.37/0.61 (multiply(inverse(sk_c2), sk_c2) = identity),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[263, 18])).
% 0.37/0.61 tff(265,plain,
% 0.37/0.61 (identity = multiply(inverse(sk_c2), sk_c2)),
% 0.37/0.61 inference(symmetry,[status(thm)],[264])).
% 0.37/0.61 tff(266,plain,
% 0.37/0.61 (identity = multiply(sk_c9, sk_c2)),
% 0.37/0.61 inference(transitivity,[status(thm)],[265, 262])).
% 0.37/0.61 tff(267,plain,
% 0.37/0.61 (multiply(identity, sk_c9) = multiply(multiply(sk_c9, sk_c2), sk_c9)),
% 0.37/0.61 inference(monotonicity,[status(thm)],[266])).
% 0.37/0.61 tff(268,plain,
% 0.37/0.61 (multiply(multiply(sk_c9, sk_c2), sk_c9) = multiply(identity, sk_c9)),
% 0.37/0.61 inference(symmetry,[status(thm)],[267])).
% 0.37/0.61 tff(269,plain,
% 0.37/0.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c2), sk_c9) = multiply(sk_c9, multiply(sk_c2, sk_c9)))),
% 0.37/0.61 inference(quant_inst,[status(thm)],[])).
% 0.37/0.61 tff(270,plain,
% 0.37/0.61 (multiply(multiply(sk_c9, sk_c2), sk_c9) = multiply(sk_c9, multiply(sk_c2, sk_c9))),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[269, 99])).
% 0.37/0.62 tff(271,plain,
% 0.37/0.62 (multiply(sk_c9, multiply(sk_c2, sk_c9)) = multiply(multiply(sk_c9, sk_c2), sk_c9)),
% 0.37/0.62 inference(symmetry,[status(thm)],[270])).
% 0.37/0.62 tff(272,plain,
% 0.37/0.62 ((sk_c8 = multiply(sk_c9, multiply(sk_c6, sk_c9))) <=> (multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)),
% 0.37/0.62 inference(commutativity,[status(thm)],[])).
% 0.37/0.62 tff(273,plain,
% 0.37/0.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c6), sk_c9) = multiply(sk_c9, multiply(sk_c6, sk_c9)))),
% 0.37/0.62 inference(quant_inst,[status(thm)],[])).
% 0.37/0.62 tff(274,plain,
% 0.37/0.62 (multiply(multiply(sk_c9, sk_c6), sk_c9) = multiply(sk_c9, multiply(sk_c6, sk_c9))),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[273, 99])).
% 0.37/0.62 tff(275,assumption,(~(multiply(sk_c2, sk_c9) = sk_c3)), introduced(assumption)).
% 0.37/0.62 tff(276,plain,
% 0.37/0.62 (((inverse(sk_c6) = sk_c9) | (multiply(sk_c2, sk_c9) = sk_c3)) <=> ((inverse(sk_c6) = sk_c9) | (multiply(sk_c2, sk_c9) = sk_c3))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(277,plain,
% 0.37/0.62 (((multiply(sk_c2, sk_c9) = sk_c3) | (inverse(sk_c6) = sk_c9)) <=> ((inverse(sk_c6) = sk_c9) | (multiply(sk_c2, sk_c9) = sk_c3))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(278,axiom,((multiply(sk_c2, sk_c9) = sk_c3) | (inverse(sk_c6) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_35')).
% 0.37/0.62 tff(279,plain,
% 0.37/0.62 ((inverse(sk_c6) = sk_c9) | (multiply(sk_c2, sk_c9) = sk_c3)),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.37/0.62 tff(280,plain,
% 0.37/0.62 ((inverse(sk_c6) = sk_c9) | (multiply(sk_c2, sk_c9) = sk_c3)),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[279, 276])).
% 0.37/0.62 tff(281,plain,
% 0.37/0.62 (inverse(sk_c6) = sk_c9),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[280, 275])).
% 0.37/0.62 tff(282,plain,
% 0.37/0.62 (sk_c9 = inverse(sk_c6)),
% 0.37/0.62 inference(symmetry,[status(thm)],[281])).
% 0.37/0.62 tff(283,plain,
% 0.37/0.62 (multiply(sk_c9, sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.37/0.62 inference(monotonicity,[status(thm)],[282])).
% 0.37/0.62 tff(284,plain,
% 0.37/0.62 (multiply(inverse(sk_c6), sk_c6) = multiply(sk_c9, sk_c6)),
% 0.37/0.62 inference(symmetry,[status(thm)],[283])).
% 0.37/0.62 tff(285,plain,
% 0.37/0.62 (identity = multiply(sk_c9, sk_c6)),
% 0.37/0.62 inference(transitivity,[status(thm)],[161, 284])).
% 0.37/0.62 tff(286,plain,
% 0.37/0.62 (multiply(identity, sk_c9) = multiply(multiply(sk_c9, sk_c6), sk_c9)),
% 0.37/0.62 inference(monotonicity,[status(thm)],[285])).
% 0.37/0.62 tff(287,plain,
% 0.37/0.62 (sk_c9 = multiply(identity, sk_c9)),
% 0.37/0.62 inference(symmetry,[status(thm)],[9])).
% 0.37/0.62 tff(288,plain,
% 0.37/0.62 (sk_c9 = multiply(sk_c9, multiply(sk_c6, sk_c9))),
% 0.37/0.62 inference(transitivity,[status(thm)],[287, 286, 274])).
% 0.37/0.62 tff(289,plain,
% 0.37/0.62 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c9) = sk_c3)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c9) = sk_c3))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(290,plain,
% 0.37/0.62 (((multiply(sk_c2, sk_c9) = sk_c3) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c9) = sk_c3))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(291,axiom,((multiply(sk_c2, sk_c9) = sk_c3) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_33')).
% 0.37/0.62 tff(292,plain,
% 0.37/0.62 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c9) = sk_c3)),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[291, 290])).
% 0.37/0.62 tff(293,plain,
% 0.37/0.62 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c9) = sk_c3)),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[292, 289])).
% 0.37/0.62 tff(294,plain,
% 0.37/0.62 (inverse(sk_c5) = sk_c8),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[293, 275])).
% 0.37/0.62 tff(295,plain,
% 0.37/0.62 (sk_c8 = inverse(sk_c5)),
% 0.37/0.62 inference(symmetry,[status(thm)],[294])).
% 0.37/0.62 tff(296,plain,
% 0.37/0.62 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.37/0.62 inference(monotonicity,[status(thm)],[295])).
% 0.37/0.62 tff(297,plain,
% 0.37/0.62 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 0.37/0.62 inference(symmetry,[status(thm)],[296])).
% 0.37/0.62 tff(298,plain,
% 0.37/0.62 (identity = multiply(sk_c8, sk_c5)),
% 0.37/0.62 inference(transitivity,[status(thm)],[85, 297])).
% 0.37/0.62 tff(299,plain,
% 0.37/0.62 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.37/0.62 inference(monotonicity,[status(thm)],[298])).
% 0.37/0.62 tff(300,plain,
% 0.37/0.62 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 0.37/0.62 inference(symmetry,[status(thm)],[299])).
% 0.37/0.62 tff(301,plain,
% 0.37/0.62 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c9) = sk_c3)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c9) = sk_c3))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(302,plain,
% 0.37/0.62 (((multiply(sk_c2, sk_c9) = sk_c3) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c9) = sk_c3))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(303,axiom,((multiply(sk_c2, sk_c9) = sk_c3) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_31')).
% 0.37/0.62 tff(304,plain,
% 0.37/0.62 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c9) = sk_c3)),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[303, 302])).
% 0.37/0.62 tff(305,plain,
% 0.37/0.62 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c9) = sk_c3)),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[304, 301])).
% 0.37/0.62 tff(306,plain,
% 0.37/0.62 (inverse(sk_c4) = sk_c8),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[305, 275])).
% 0.37/0.62 tff(307,plain,
% 0.37/0.62 (sk_c8 = inverse(sk_c4)),
% 0.37/0.62 inference(symmetry,[status(thm)],[306])).
% 0.37/0.62 tff(308,plain,
% 0.37/0.62 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.37/0.62 inference(monotonicity,[status(thm)],[307])).
% 0.37/0.62 tff(309,plain,
% 0.37/0.62 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 0.37/0.62 inference(symmetry,[status(thm)],[308])).
% 0.37/0.62 tff(310,plain,
% 0.37/0.62 (identity = multiply(inverse(sk_c4), sk_c4)),
% 0.37/0.62 inference(symmetry,[status(thm)],[124])).
% 0.37/0.62 tff(311,plain,
% 0.37/0.62 (multiply(sk_c8, sk_c5) = multiply(sk_c8, sk_c4)),
% 0.37/0.62 inference(transitivity,[status(thm)],[296, 20, 310, 309])).
% 0.37/0.62 tff(312,plain,
% 0.37/0.62 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 0.37/0.62 inference(monotonicity,[status(thm)],[311])).
% 0.37/0.62 tff(313,plain,
% 0.37/0.62 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.37/0.62 inference(symmetry,[status(thm)],[312])).
% 0.37/0.62 tff(314,plain,
% 0.37/0.62 (((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(315,axiom,((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_30')).
% 0.37/0.62 tff(316,plain,
% 0.37/0.62 ((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[315, 314])).
% 0.37/0.62 tff(317,plain,
% 0.37/0.62 (multiply(sk_c4, sk_c8) = sk_c7),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[316, 275])).
% 0.37/0.62 tff(318,plain,
% 0.37/0.62 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c7)),
% 0.37/0.62 inference(monotonicity,[status(thm)],[317])).
% 0.37/0.62 tff(319,plain,
% 0.37/0.62 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 0.37/0.62 inference(symmetry,[status(thm)],[318])).
% 0.37/0.62 tff(320,plain,
% 0.37/0.62 (((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c9)) <=> ((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c9))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(321,axiom,((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_32')).
% 0.37/0.62 tff(322,plain,
% 0.37/0.62 ((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[321, 320])).
% 0.37/0.62 tff(323,plain,
% 0.37/0.62 (multiply(sk_c5, sk_c8) = sk_c9),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[322, 275])).
% 0.37/0.62 tff(324,plain,
% 0.37/0.62 (((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c6, sk_c9) = sk_c7)) <=> ((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c6, sk_c9) = sk_c7))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(325,axiom,((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c6, sk_c9) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_34')).
% 0.37/0.62 tff(326,plain,
% 0.37/0.62 ((multiply(sk_c2, sk_c9) = sk_c3) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[325, 324])).
% 0.37/0.62 tff(327,plain,
% 0.37/0.62 (multiply(sk_c6, sk_c9) = sk_c7),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[326, 275])).
% 0.37/0.62 tff(328,plain,
% 0.37/0.62 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c9) = sk_c3)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c9) = sk_c3))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(329,plain,
% 0.37/0.62 (((multiply(sk_c2, sk_c9) = sk_c3) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c9) = sk_c3))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(330,axiom,((multiply(sk_c2, sk_c9) = sk_c3) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_29')).
% 0.37/0.62 tff(331,plain,
% 0.37/0.62 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c9) = sk_c3)),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[330, 329])).
% 0.37/0.62 tff(332,plain,
% 0.37/0.62 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c9) = sk_c3)),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[331, 328])).
% 0.37/0.62 tff(333,plain,
% 0.37/0.62 (inverse(sk_c8) = sk_c7),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[332, 275])).
% 0.37/0.62 tff(334,plain,
% 0.37/0.62 (multiply(sk_c8, sk_c9) = sk_c7),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[227, 333, 327, 294, 281, 306, 317, 323])).
% 0.37/0.62 tff(335,plain,
% 0.37/0.62 (sk_c7 = multiply(sk_c8, sk_c9)),
% 0.37/0.62 inference(symmetry,[status(thm)],[334])).
% 0.37/0.62 tff(336,plain,
% 0.37/0.62 (sk_c9 = multiply(sk_c5, sk_c8)),
% 0.37/0.62 inference(symmetry,[status(thm)],[323])).
% 0.37/0.62 tff(337,plain,
% 0.37/0.62 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 0.37/0.62 inference(monotonicity,[status(thm)],[336])).
% 0.37/0.62 tff(338,plain,
% 0.37/0.62 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c9)),
% 0.37/0.62 inference(symmetry,[status(thm)],[337])).
% 0.37/0.62 tff(339,plain,
% 0.37/0.62 (sk_c8 = sk_c7),
% 0.37/0.62 inference(transitivity,[status(thm)],[120, 299, 109, 338, 334])).
% 0.37/0.62 tff(340,plain,
% 0.37/0.62 (multiply(sk_c8, sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c9))),
% 0.37/0.62 inference(monotonicity,[status(thm)],[339, 335])).
% 0.37/0.62 tff(341,plain,
% 0.37/0.62 (multiply(sk_c7, multiply(sk_c8, sk_c9)) = multiply(sk_c8, sk_c7)),
% 0.37/0.62 inference(symmetry,[status(thm)],[340])).
% 0.37/0.62 tff(342,plain,
% 0.37/0.62 (multiply(sk_c8, sk_c9) = sk_c8),
% 0.37/0.62 inference(transitivity,[status(thm)],[337, 110, 300, 11])).
% 0.37/0.62 tff(343,plain,
% 0.37/0.62 (sk_c7 = sk_c8),
% 0.37/0.62 inference(transitivity,[status(thm)],[335, 337, 110, 300, 11])).
% 0.37/0.62 tff(344,plain,
% 0.37/0.62 (multiply(sk_c7, multiply(sk_c8, sk_c9)) = multiply(sk_c8, sk_c8)),
% 0.37/0.62 inference(monotonicity,[status(thm)],[343, 342])).
% 0.37/0.62 tff(345,plain,
% 0.37/0.62 (multiply(sk_c8, sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c9))),
% 0.37/0.62 inference(symmetry,[status(thm)],[344])).
% 0.37/0.62 tff(346,plain,
% 0.37/0.62 (multiply(sk_c8, sk_c8) = sk_c8),
% 0.37/0.62 inference(transitivity,[status(thm)],[345, 341, 319, 132, 313, 300, 11])).
% 0.37/0.62 tff(347,plain,
% 0.37/0.62 ((multiply(sk_c8, sk_c8) = sk_c9) <=> (sk_c8 = multiply(sk_c9, multiply(sk_c6, sk_c9)))),
% 0.37/0.62 inference(monotonicity,[status(thm)],[346, 288])).
% 0.37/0.62 tff(348,plain,
% 0.37/0.62 ((multiply(sk_c8, sk_c8) = sk_c9) <=> (multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)),
% 0.37/0.62 inference(transitivity,[status(thm)],[347, 272])).
% 0.37/0.62 tff(349,plain,
% 0.37/0.62 ((multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8) <=> (multiply(sk_c8, sk_c8) = sk_c9)),
% 0.37/0.62 inference(symmetry,[status(thm)],[348])).
% 0.37/0.62 tff(350,plain,
% 0.37/0.62 ((~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) <=> (~(multiply(sk_c8, sk_c8) = sk_c9))),
% 0.37/0.62 inference(monotonicity,[status(thm)],[349])).
% 0.37/0.62 tff(351,plain,
% 0.37/0.62 (^[X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8))))),
% 0.37/0.62 inference(bind,[status(th)],[])).
% 0.37/0.62 tff(352,plain,
% 0.37/0.63 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.37/0.63 inference(quant_intro,[status(thm)],[351])).
% 0.37/0.63 tff(353,plain,
% 0.37/0.63 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.37/0.63 inference(rewrite,[status(thm)],[])).
% 0.37/0.63 tff(354,plain,
% 0.37/0.63 (^[X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : rewrite(((~(multiply(X4, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8))))),
% 0.37/0.63 inference(bind,[status(th)],[])).
% 0.37/0.63 tff(355,plain,
% 0.37/0.63 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(X4, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.37/0.63 inference(quant_intro,[status(thm)],[354])).
% 0.37/0.63 tff(356,plain,
% 0.37/0.63 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X4, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(X4, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.47/0.63 inference(elim_unused_vars,[status(thm)],[])).
% 0.47/0.63 tff(357,plain,
% 0.47/0.63 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X4, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.47/0.63 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.47/0.63 tff(358,plain,
% 0.47/0.63 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(X4, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.47/0.63 inference(transitivity,[status(thm)],[357, 356])).
% 0.47/0.63 tff(359,plain,
% 0.47/0.63 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.47/0.63 inference(transitivity,[status(thm)],[358, 355])).
% 0.47/0.63 tff(360,plain,
% 0.47/0.63 (^[X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))), (((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(multiply(sk_c9, X5) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(multiply(sk_c9, X5) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))), (((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))))), ((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) <=> (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(multiply(X6, sk_c9) = X5))))), rewrite((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(multiply(X6, sk_c9) = X5))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))), ((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))))), (((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) <=> (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X6) = sk_c9))))), rewrite((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X6) = sk_c9))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))), (((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))))), ((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) <=> (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))))), rewrite((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))), ((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))))), (((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) <=> (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(multiply(X1, sk_c8) = sk_c7))))), rewrite((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(multiply(X1, sk_c8) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))), (((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))))), ((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))), ((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))))), (((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) <=> (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(multiply(X2, sk_c8) = sk_c9))))), rewrite((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(multiply(X2, sk_c8) = sk_c9))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))), (((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))))), ((((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) <=> (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))))), rewrite((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))), ((((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))))), (((((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) <=> (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(multiply(X3, sk_c9) = sk_c7))))), rewrite((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(multiply(X3, sk_c9) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))), (((((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))))), ((((((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) | (~(inverse(X3) = sk_c9))) <=> (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X3) = sk_c9))))), rewrite((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X3) = sk_c9))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))), ((((((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) | (~(inverse(X3) = sk_c9))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))))),
% 0.47/0.64 inference(bind,[status(th)],[])).
% 0.47/0.64 tff(361,plain,
% 0.47/0.64 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) | (~(inverse(X3) = sk_c9))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c9)) | (~(multiply(X6, sk_c9) = X5)) | (~(multiply(sk_c9, X5) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c9)))),
% 0.47/0.64 inference(quant_intro,[status(thm)],[360])).
% 0.47/0.64 tff(362,plain,
% 0.47/0.64 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) | (~(inverse(X3) = sk_c9))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.47/0.64 inference(transitivity,[status(thm)],[361, 359])).
% 0.47/0.64 tff(363,axiom,(![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9))) | (~(inverse(X4) = sk_c8))) | (~(multiply(sk_c9, X5) = sk_c8))) | (~(multiply(X6, sk_c9) = X5))) | (~(inverse(X6) = sk_c9))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) | (~(inverse(X3) = sk_c9)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_43')).
% 0.47/0.64 tff(364,plain,
% 0.47/0.64 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[363, 362])).
% 0.47/0.64 tff(365,plain,
% 0.47/0.64 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[364, 353])).
% 0.47/0.65 tff(366,plain,(
% 0.47/0.65 ![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.47/0.65 inference(skolemize,[status(sab)],[365])).
% 0.47/0.65 tff(367,plain,
% 0.47/0.65 (![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[366, 352])).
% 0.47/0.65 tff(368,plain,
% 0.47/0.65 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7)))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(369,plain,
% 0.47/0.65 (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7)))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(370,plain,
% 0.47/0.65 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7))))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[369])).
% 0.47/0.65 tff(371,plain,
% 0.47/0.65 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7)))),
% 0.47/0.65 inference(transitivity,[status(thm)],[370, 368])).
% 0.47/0.65 tff(372,plain,
% 0.47/0.65 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)))),
% 0.47/0.65 inference(quant_inst,[status(thm)],[])).
% 0.47/0.65 tff(373,plain,
% 0.47/0.65 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7))),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[372, 371])).
% 0.47/0.65 tff(374,plain,
% 0.47/0.65 ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[373, 333, 317, 306, 323, 294, 327, 281, 367])).
% 0.47/0.65 tff(375,plain,
% 0.47/0.65 (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[374, 334])).
% 0.47/0.65 tff(376,plain,
% 0.47/0.65 (~(multiply(sk_c8, sk_c8) = sk_c9)),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[375, 350])).
% 0.47/0.65 tff(377,plain,
% 0.47/0.65 (multiply(multiply(sk_c9, sk_c6), sk_c9) = multiply(identity, sk_c9)),
% 0.47/0.65 inference(symmetry,[status(thm)],[286])).
% 0.47/0.65 tff(378,plain,
% 0.47/0.65 (sk_c7 = inverse(sk_c8)),
% 0.47/0.65 inference(symmetry,[status(thm)],[333])).
% 0.47/0.65 tff(379,plain,
% 0.47/0.65 (multiply(sk_c7, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[378])).
% 0.47/0.65 tff(380,plain,
% 0.47/0.65 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 0.47/0.65 inference(symmetry,[status(thm)],[379])).
% 0.47/0.65 tff(381,plain,
% 0.47/0.65 (multiply(sk_c9, sk_c6) = multiply(sk_c7, sk_c8)),
% 0.47/0.65 inference(transitivity,[status(thm)],[283, 87, 147, 380])).
% 0.47/0.65 tff(382,plain,
% 0.47/0.65 (multiply(multiply(sk_c9, sk_c6), sk_c9) = multiply(multiply(sk_c7, sk_c8), sk_c9)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[381])).
% 0.47/0.65 tff(383,plain,
% 0.47/0.65 (multiply(multiply(sk_c7, sk_c8), sk_c9) = multiply(multiply(sk_c9, sk_c6), sk_c9)),
% 0.47/0.65 inference(symmetry,[status(thm)],[382])).
% 0.47/0.65 tff(384,plain,
% 0.47/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c9) = multiply(sk_c7, multiply(sk_c8, sk_c9)))),
% 0.47/0.65 inference(quant_inst,[status(thm)],[])).
% 0.47/0.65 tff(385,plain,
% 0.47/0.65 (multiply(multiply(sk_c7, sk_c8), sk_c9) = multiply(sk_c7, multiply(sk_c8, sk_c9))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[384, 99])).
% 0.47/0.65 tff(386,plain,
% 0.47/0.65 (multiply(sk_c7, multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c7, sk_c8), sk_c9)),
% 0.47/0.65 inference(symmetry,[status(thm)],[385])).
% 0.47/0.65 tff(387,plain,
% 0.47/0.65 (multiply(sk_c8, sk_c8) = sk_c9),
% 0.47/0.65 inference(transitivity,[status(thm)],[345, 386, 383, 377, 9])).
% 0.47/0.65 tff(388,plain,
% 0.47/0.65 ($false),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[387, 376])).
% 0.47/0.65 tff(389,plain,(multiply(sk_c2, sk_c9) = sk_c3), inference(lemma,lemma(discharge,[]))).
% 0.47/0.65 tff(390,plain,
% 0.47/0.65 (multiply(sk_c9, multiply(sk_c2, sk_c9)) = multiply(sk_c9, sk_c3)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[389])).
% 0.47/0.65 tff(391,plain,
% 0.47/0.65 (multiply(sk_c9, sk_c3) = multiply(sk_c9, multiply(sk_c2, sk_c9))),
% 0.47/0.65 inference(symmetry,[status(thm)],[390])).
% 0.47/0.65 tff(392,plain,
% 0.47/0.65 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(393,plain,
% 0.47/0.65 (((multiply(sk_c9, sk_c3) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(394,axiom,((multiply(sk_c9, sk_c3) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_22')).
% 0.47/0.65 tff(395,plain,
% 0.47/0.65 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[394, 393])).
% 0.47/0.65 tff(396,plain,
% 0.47/0.65 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[395, 392])).
% 0.47/0.65 tff(397,plain,
% 0.47/0.65 (multiply(sk_c9, sk_c3) = sk_c8),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[396, 230])).
% 0.47/0.65 tff(398,plain,
% 0.47/0.65 (sk_c8 = multiply(sk_c9, sk_c3)),
% 0.47/0.65 inference(symmetry,[status(thm)],[397])).
% 0.47/0.65 tff(399,plain,
% 0.47/0.65 (sk_c8 = sk_c9),
% 0.47/0.65 inference(transitivity,[status(thm)],[398, 391, 271, 268, 9])).
% 0.47/0.65 tff(400,plain,
% 0.47/0.65 (multiply(sk_c8, sk_c2) = multiply(sk_c9, sk_c2)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[399])).
% 0.47/0.65 tff(401,plain,
% 0.47/0.65 (multiply(sk_c9, sk_c2) = multiply(sk_c8, sk_c2)),
% 0.47/0.65 inference(symmetry,[status(thm)],[400])).
% 0.47/0.65 tff(402,plain,
% 0.47/0.65 (identity = multiply(sk_c8, sk_c2)),
% 0.47/0.65 inference(transitivity,[status(thm)],[265, 262, 401])).
% 0.47/0.65 tff(403,plain,
% 0.47/0.65 (multiply(identity, sk_c1) = multiply(multiply(sk_c8, sk_c2), sk_c1)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[402])).
% 0.47/0.65 tff(404,plain,
% 0.47/0.65 (multiply(multiply(sk_c8, sk_c2), sk_c1) = multiply(identity, sk_c1)),
% 0.47/0.65 inference(symmetry,[status(thm)],[403])).
% 0.47/0.65 tff(405,plain,
% 0.47/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c1) = multiply(sk_c8, multiply(sk_c2, sk_c1)))),
% 0.47/0.65 inference(quant_inst,[status(thm)],[])).
% 0.47/0.65 tff(406,plain,
% 0.47/0.65 (multiply(multiply(sk_c8, sk_c2), sk_c1) = multiply(sk_c8, multiply(sk_c2, sk_c1))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[405, 99])).
% 0.47/0.65 tff(407,plain,
% 0.47/0.65 (multiply(sk_c8, multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c8, sk_c2), sk_c1)),
% 0.47/0.65 inference(symmetry,[status(thm)],[406])).
% 0.47/0.65 tff(408,plain,
% 0.47/0.65 (multiply(sk_c8, sk_c8) = multiply(sk_c8, sk_c9)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[399])).
% 0.47/0.65 tff(409,plain,
% 0.47/0.65 (multiply(sk_c8, sk_c9) = multiply(sk_c8, sk_c8)),
% 0.47/0.65 inference(symmetry,[status(thm)],[408])).
% 0.47/0.65 tff(410,plain,
% 0.47/0.65 (sk_c8 = multiply(sk_c8, sk_c8)),
% 0.47/0.65 inference(transitivity,[status(thm)],[120, 253, 241, 239, 409])).
% 0.47/0.65 tff(411,plain,
% 0.47/0.65 (multiply(sk_c8, multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c2, sk_c1))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[410])).
% 0.47/0.65 tff(412,plain,
% 0.47/0.65 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c2, sk_c1)) = multiply(sk_c8, multiply(sk_c2, sk_c1))),
% 0.47/0.65 inference(symmetry,[status(thm)],[411])).
% 0.47/0.65 tff(413,plain,
% 0.47/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), multiply(sk_c2, sk_c1)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, sk_c1))))),
% 0.47/0.65 inference(quant_inst,[status(thm)],[])).
% 0.47/0.65 tff(414,plain,
% 0.47/0.65 (multiply(multiply(sk_c8, sk_c8), multiply(sk_c2, sk_c1)) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, sk_c1)))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[413, 99])).
% 0.47/0.65 tff(415,plain,
% 0.47/0.65 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, sk_c1))) = multiply(multiply(sk_c8, sk_c8), multiply(sk_c2, sk_c1))),
% 0.47/0.65 inference(symmetry,[status(thm)],[414])).
% 0.47/0.65 tff(416,plain,
% 0.47/0.65 (multiply(sk_c8, multiply(sk_c2, sk_c1)) = sk_c1),
% 0.47/0.65 inference(transitivity,[status(thm)],[407, 404, 255])).
% 0.47/0.65 tff(417,plain,
% 0.47/0.65 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, sk_c1))) = multiply(inverse(sk_c1), sk_c1)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[246, 416])).
% 0.47/0.65 tff(418,plain,
% 0.47/0.65 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, sk_c1)))),
% 0.47/0.65 inference(symmetry,[status(thm)],[417])).
% 0.47/0.65 tff(419,plain,
% 0.47/0.65 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 0.47/0.65 inference(symmetry,[status(thm)],[253])).
% 0.47/0.65 tff(420,plain,
% 0.47/0.65 (multiply(sk_c8, multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 0.47/0.65 inference(symmetry,[status(thm)],[241])).
% 0.47/0.65 tff(421,plain,
% 0.47/0.65 (multiply(sk_c8, sk_c8) = sk_c8),
% 0.47/0.65 inference(transitivity,[status(thm)],[408, 238, 420, 419, 11])).
% 0.47/0.65 tff(422,plain,
% 0.47/0.65 (multiply(inverse(sk_c8), multiply(sk_c8, sk_c8)) = multiply(inverse(sk_c8), sk_c8)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[421])).
% 0.47/0.65 tff(423,plain,
% 0.47/0.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8)))),
% 0.47/0.65 inference(quant_inst,[status(thm)],[])).
% 0.47/0.65 tff(424,plain,
% 0.47/0.65 (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[423, 99])).
% 0.47/0.65 tff(425,plain,
% 0.47/0.65 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c8), sk_c8)),
% 0.47/0.65 inference(transitivity,[status(thm)],[247, 250, 147])).
% 0.47/0.65 tff(426,plain,
% 0.47/0.65 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(multiply(inverse(sk_c8), sk_c8), sk_c8)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[425])).
% 0.47/0.65 tff(427,plain,
% 0.47/0.65 (sk_c8 = sk_c1),
% 0.47/0.65 inference(transitivity,[status(thm)],[120, 253, 426, 424, 422, 146, 251, 418, 415, 412, 407, 404, 255])).
% 0.47/0.65 tff(428,plain,
% 0.47/0.65 (inverse(sk_c8) = inverse(sk_c1)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[427])).
% 0.47/0.65 tff(429,plain,
% 0.47/0.65 (inverse(sk_c8) = sk_c7),
% 0.47/0.65 inference(transitivity,[status(thm)],[428, 245, 120, 253, 241, 239, 229])).
% 0.47/0.65 tff(430,plain,
% 0.47/0.65 ($false),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[230, 429])).
% 0.47/0.65 tff(431,plain,(inverse(sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.47/0.65 tff(432,plain,
% 0.47/0.65 (sk_c7 = inverse(sk_c8)),
% 0.47/0.65 inference(symmetry,[status(thm)],[431])).
% 0.47/0.65 tff(433,assumption,(~(inverse(sk_c5) = sk_c8)), introduced(assumption)).
% 0.47/0.65 tff(434,plain,
% 0.47/0.65 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c9)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c9))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(435,plain,
% 0.47/0.65 (((multiply(sk_c1, sk_c8) = sk_c9) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c9))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(436,axiom,((multiply(sk_c1, sk_c8) = sk_c9) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 0.47/0.65 tff(437,plain,
% 0.47/0.65 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c9)),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[436, 435])).
% 0.47/0.65 tff(438,plain,
% 0.47/0.65 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c9)),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[437, 434])).
% 0.47/0.65 tff(439,plain,
% 0.47/0.65 (multiply(sk_c1, sk_c8) = sk_c9),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[438, 433])).
% 0.47/0.65 tff(440,plain,
% 0.47/0.65 ((multiply(sk_c1, sk_c8) = sk_c7) <=> (sk_c9 = inverse(sk_c8))),
% 0.47/0.65 inference(monotonicity,[status(thm)],[439, 432])).
% 0.47/0.65 tff(441,plain,
% 0.47/0.65 ((multiply(sk_c1, sk_c8) = sk_c7) <=> (inverse(sk_c8) = sk_c9)),
% 0.47/0.65 inference(transitivity,[status(thm)],[440, 21])).
% 0.47/0.65 tff(442,plain,
% 0.47/0.65 ((inverse(sk_c8) = sk_c9) <=> (multiply(sk_c1, sk_c8) = sk_c7)),
% 0.47/0.65 inference(symmetry,[status(thm)],[441])).
% 0.47/0.65 tff(443,plain,
% 0.47/0.65 (((inverse(sk_c2) = sk_c9) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c2) = sk_c9) | (inverse(sk_c5) = sk_c8))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(444,axiom,((inverse(sk_c2) = sk_c9) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_40')).
% 0.47/0.65 tff(445,plain,
% 0.47/0.65 ((inverse(sk_c2) = sk_c9) | (inverse(sk_c5) = sk_c8)),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[444, 443])).
% 0.47/0.65 tff(446,plain,
% 0.47/0.65 (inverse(sk_c2) = sk_c9),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[445, 433])).
% 0.47/0.65 tff(447,plain,
% 0.47/0.65 (sk_c9 = inverse(sk_c2)),
% 0.47/0.65 inference(symmetry,[status(thm)],[446])).
% 0.47/0.65 tff(448,plain,
% 0.47/0.65 (multiply(sk_c9, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[447])).
% 0.47/0.65 tff(449,plain,
% 0.47/0.65 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c9, sk_c2)),
% 0.47/0.65 inference(symmetry,[status(thm)],[448])).
% 0.47/0.65 tff(450,plain,
% 0.47/0.65 (identity = multiply(sk_c9, sk_c2)),
% 0.47/0.65 inference(transitivity,[status(thm)],[265, 449])).
% 0.47/0.65 tff(451,plain,
% 0.47/0.65 (multiply(identity, sk_c9) = multiply(multiply(sk_c9, sk_c2), sk_c9)),
% 0.47/0.65 inference(monotonicity,[status(thm)],[450])).
% 0.47/0.65 tff(452,plain,
% 0.47/0.65 (multiply(multiply(sk_c9, sk_c2), sk_c9) = multiply(identity, sk_c9)),
% 0.47/0.65 inference(symmetry,[status(thm)],[451])).
% 0.47/0.65 tff(453,plain,
% 0.47/0.65 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c9, sk_c3) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(454,plain,
% 0.47/0.65 (((multiply(sk_c9, sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.65 inference(rewrite,[status(thm)],[])).
% 0.47/0.65 tff(455,axiom,((multiply(sk_c9, sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_26')).
% 0.47/0.66 tff(456,plain,
% 0.47/0.66 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[455, 454])).
% 0.47/0.66 tff(457,plain,
% 0.47/0.66 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[456, 453])).
% 0.47/0.66 tff(458,plain,
% 0.47/0.66 (multiply(sk_c9, sk_c3) = sk_c8),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[457, 433])).
% 0.47/0.66 tff(459,plain,
% 0.47/0.66 (sk_c8 = multiply(sk_c9, sk_c3)),
% 0.47/0.66 inference(symmetry,[status(thm)],[458])).
% 0.47/0.66 tff(460,plain,
% 0.47/0.66 (sk_c8 = sk_c9),
% 0.47/0.66 inference(transitivity,[status(thm)],[459, 391, 271, 452, 9])).
% 0.47/0.66 tff(461,plain,
% 0.47/0.66 ((inverse(sk_c8) = sk_c8) <=> (inverse(sk_c8) = sk_c9)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[460])).
% 0.47/0.66 tff(462,plain,
% 0.47/0.66 ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c1, sk_c8) = sk_c7)),
% 0.47/0.66 inference(transitivity,[status(thm)],[461, 442])).
% 0.47/0.66 tff(463,plain,
% 0.47/0.66 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(464,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 0.47/0.66 tff(465,plain,
% 0.47/0.66 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[464, 463])).
% 0.47/0.66 tff(466,plain,
% 0.47/0.66 (inverse(sk_c1) = sk_c8),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[465, 433])).
% 0.47/0.66 tff(467,plain,
% 0.47/0.66 (sk_c8 = inverse(sk_c1)),
% 0.47/0.66 inference(symmetry,[status(thm)],[466])).
% 0.47/0.66 tff(468,plain,
% 0.47/0.66 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[467])).
% 0.47/0.66 tff(469,plain,
% 0.47/0.66 (multiply(sk_c8, sk_c1) = identity),
% 0.47/0.66 inference(transitivity,[status(thm)],[468, 250])).
% 0.47/0.66 tff(470,plain,
% 0.47/0.66 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[469])).
% 0.47/0.66 tff(471,plain,
% 0.47/0.66 (sk_c9 = multiply(sk_c1, sk_c8)),
% 0.47/0.66 inference(symmetry,[status(thm)],[439])).
% 0.47/0.66 tff(472,plain,
% 0.47/0.66 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[471])).
% 0.47/0.66 tff(473,plain,
% 0.47/0.66 (sk_c7 = multiply(sk_c8, sk_c9)),
% 0.47/0.66 inference(symmetry,[status(thm)],[229])).
% 0.47/0.66 tff(474,plain,
% 0.47/0.66 (inverse(sk_c8) = sk_c8),
% 0.47/0.66 inference(transitivity,[status(thm)],[431, 473, 472, 420, 470, 11])).
% 0.47/0.66 tff(475,plain,
% 0.47/0.66 (multiply(sk_c1, sk_c8) = sk_c7),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[474, 462])).
% 0.47/0.66 tff(476,plain,
% 0.47/0.66 (multiply(sk_c8, sk_c1) = multiply(sk_c9, sk_c2)),
% 0.47/0.66 inference(transitivity,[status(thm)],[468, 250, 265, 449])).
% 0.47/0.66 tff(477,plain,
% 0.47/0.66 (multiply(multiply(sk_c8, sk_c1), sk_c9) = multiply(multiply(sk_c9, sk_c2), sk_c9)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[476])).
% 0.47/0.66 tff(478,plain,
% 0.47/0.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c1), sk_c9) = multiply(sk_c8, multiply(sk_c1, sk_c9)))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(479,plain,
% 0.47/0.66 (multiply(multiply(sk_c8, sk_c1), sk_c9) = multiply(sk_c8, multiply(sk_c1, sk_c9))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[478, 99])).
% 0.47/0.66 tff(480,plain,
% 0.47/0.66 (multiply(sk_c8, multiply(sk_c1, sk_c9)) = multiply(multiply(sk_c8, sk_c1), sk_c9)),
% 0.47/0.66 inference(symmetry,[status(thm)],[479])).
% 0.47/0.66 tff(481,plain,
% 0.47/0.66 (sk_c9 = sk_c8),
% 0.47/0.66 inference(transitivity,[status(thm)],[287, 451, 270, 390, 458])).
% 0.47/0.66 tff(482,plain,
% 0.47/0.66 (multiply(sk_c9, multiply(sk_c1, sk_c9)) = multiply(sk_c8, multiply(sk_c1, sk_c9))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[481])).
% 0.47/0.66 tff(483,plain,
% 0.47/0.66 (multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8),
% 0.47/0.66 inference(transitivity,[status(thm)],[482, 480, 477, 270, 390, 458])).
% 0.47/0.66 tff(484,plain,
% 0.47/0.66 (inverse(sk_c1) = sk_c9),
% 0.47/0.66 inference(transitivity,[status(thm)],[466, 459, 391, 271, 452, 9])).
% 0.47/0.66 tff(485,plain,
% 0.47/0.66 (inverse(sk_c8) = sk_c9),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[474, 461])).
% 0.47/0.66 tff(486,plain,
% 0.47/0.66 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8)))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(487,plain,
% 0.47/0.66 (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8)))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(488,plain,
% 0.47/0.66 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8))))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[487])).
% 0.47/0.66 tff(489,plain,
% 0.47/0.66 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8)))),
% 0.47/0.66 inference(transitivity,[status(thm)],[488, 486])).
% 0.47/0.66 tff(490,plain,
% 0.47/0.66 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)))),
% 0.47/0.66 inference(quant_inst,[status(thm)],[])).
% 0.47/0.66 tff(491,plain,
% 0.47/0.66 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8))),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[490, 489])).
% 0.47/0.66 tff(492,plain,
% 0.47/0.66 ((~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c1, sk_c9)) = sk_c8))),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[491, 229, 431, 439, 466, 367])).
% 0.47/0.66 tff(493,plain,
% 0.47/0.66 ($false),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[492, 485, 484, 483, 475])).
% 0.47/0.66 tff(494,plain,(inverse(sk_c5) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 0.47/0.66 tff(495,plain,
% 0.47/0.66 (sk_c8 = inverse(sk_c5)),
% 0.47/0.66 inference(symmetry,[status(thm)],[494])).
% 0.47/0.66 tff(496,plain,
% 0.47/0.66 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[495])).
% 0.47/0.66 tff(497,plain,
% 0.47/0.66 (multiply(sk_c8, sk_c5) = identity),
% 0.47/0.66 inference(transitivity,[status(thm)],[496, 20])).
% 0.47/0.66 tff(498,plain,
% 0.47/0.66 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[497])).
% 0.47/0.66 tff(499,plain,
% 0.47/0.66 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 0.47/0.66 inference(symmetry,[status(thm)],[496])).
% 0.47/0.66 tff(500,plain,
% 0.47/0.66 (identity = multiply(sk_c8, sk_c5)),
% 0.47/0.66 inference(transitivity,[status(thm)],[85, 499])).
% 0.47/0.66 tff(501,plain,
% 0.47/0.66 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[500])).
% 0.47/0.66 tff(502,plain,
% 0.47/0.66 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 0.47/0.66 inference(symmetry,[status(thm)],[501])).
% 0.47/0.66 tff(503,assumption,(~(multiply(sk_c1, sk_c8) = sk_c9)), introduced(assumption)).
% 0.47/0.66 tff(504,plain,
% 0.47/0.66 (((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9)) <=> ((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(505,axiom,((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 0.47/0.66 tff(506,plain,
% 0.47/0.66 ((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[505, 504])).
% 0.47/0.66 tff(507,plain,
% 0.47/0.66 (multiply(sk_c5, sk_c8) = sk_c9),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[506, 503])).
% 0.47/0.66 tff(508,plain,
% 0.47/0.66 (sk_c9 = multiply(sk_c5, sk_c8)),
% 0.47/0.66 inference(symmetry,[status(thm)],[507])).
% 0.47/0.66 tff(509,plain,
% 0.47/0.66 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[508])).
% 0.47/0.66 tff(510,plain,
% 0.47/0.66 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c9)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c9))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(511,plain,
% 0.47/0.66 (((multiply(sk_c1, sk_c8) = sk_c9) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c9))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(512,axiom,((multiply(sk_c1, sk_c8) = sk_c9) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 0.47/0.66 tff(513,plain,
% 0.47/0.66 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c9)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[512, 511])).
% 0.47/0.66 tff(514,plain,
% 0.47/0.66 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c8) = sk_c9)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[513, 510])).
% 0.47/0.66 tff(515,plain,
% 0.47/0.66 (inverse(sk_c4) = sk_c8),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[514, 503])).
% 0.47/0.66 tff(516,plain,
% 0.47/0.66 (sk_c8 = inverse(sk_c4)),
% 0.47/0.66 inference(symmetry,[status(thm)],[515])).
% 0.47/0.66 tff(517,plain,
% 0.47/0.66 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[516])).
% 0.47/0.66 tff(518,plain,
% 0.47/0.66 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 0.47/0.66 inference(symmetry,[status(thm)],[517])).
% 0.47/0.66 tff(519,plain,
% 0.47/0.66 (multiply(sk_c8, sk_c5) = multiply(sk_c8, sk_c4)),
% 0.47/0.66 inference(transitivity,[status(thm)],[496, 20, 310, 518])).
% 0.47/0.66 tff(520,plain,
% 0.47/0.66 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[519])).
% 0.47/0.66 tff(521,plain,
% 0.47/0.66 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.47/0.66 inference(symmetry,[status(thm)],[520])).
% 0.47/0.66 tff(522,assumption,(~(multiply(sk_c4, sk_c8) = sk_c7)), introduced(assumption)).
% 0.47/0.66 tff(523,plain,
% 0.47/0.66 (((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(524,axiom,((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 0.47/0.66 tff(525,plain,
% 0.47/0.66 ((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[524, 523])).
% 0.47/0.66 tff(526,plain,
% 0.47/0.66 (multiply(sk_c1, sk_c8) = sk_c9),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[525, 522])).
% 0.47/0.66 tff(527,plain,
% 0.47/0.66 ((multiply(sk_c1, sk_c8) = sk_c7) <=> (sk_c9 = inverse(sk_c8))),
% 0.47/0.66 inference(monotonicity,[status(thm)],[526, 432])).
% 0.47/0.66 tff(528,plain,
% 0.47/0.66 ((multiply(sk_c1, sk_c8) = sk_c7) <=> (inverse(sk_c8) = sk_c9)),
% 0.47/0.66 inference(transitivity,[status(thm)],[527, 21])).
% 0.47/0.66 tff(529,plain,
% 0.47/0.66 ((inverse(sk_c8) = sk_c9) <=> (multiply(sk_c1, sk_c8) = sk_c7)),
% 0.47/0.66 inference(symmetry,[status(thm)],[528])).
% 0.47/0.66 tff(530,plain,
% 0.47/0.66 (((inverse(sk_c2) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((inverse(sk_c2) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(531,axiom,((inverse(sk_c2) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_37')).
% 0.47/0.66 tff(532,plain,
% 0.47/0.66 ((inverse(sk_c2) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[531, 530])).
% 0.47/0.66 tff(533,plain,
% 0.47/0.66 (inverse(sk_c2) = sk_c9),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[532, 522])).
% 0.47/0.66 tff(534,plain,
% 0.47/0.66 (sk_c9 = inverse(sk_c2)),
% 0.47/0.66 inference(symmetry,[status(thm)],[533])).
% 0.47/0.66 tff(535,plain,
% 0.47/0.66 (multiply(sk_c9, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[534])).
% 0.47/0.66 tff(536,plain,
% 0.47/0.66 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c9, sk_c2)),
% 0.47/0.66 inference(symmetry,[status(thm)],[535])).
% 0.47/0.66 tff(537,plain,
% 0.47/0.66 (identity = multiply(sk_c9, sk_c2)),
% 0.47/0.66 inference(transitivity,[status(thm)],[265, 536])).
% 0.47/0.66 tff(538,plain,
% 0.47/0.66 (multiply(identity, sk_c9) = multiply(multiply(sk_c9, sk_c2), sk_c9)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[537])).
% 0.47/0.66 tff(539,plain,
% 0.47/0.66 (multiply(multiply(sk_c9, sk_c2), sk_c9) = multiply(identity, sk_c9)),
% 0.47/0.66 inference(symmetry,[status(thm)],[538])).
% 0.47/0.66 tff(540,plain,
% 0.47/0.66 (((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8)) <=> ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(541,plain,
% 0.47/0.66 (((multiply(sk_c9, sk_c3) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(542,axiom,((multiply(sk_c9, sk_c3) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_23')).
% 0.47/0.66 tff(543,plain,
% 0.47/0.66 ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[542, 541])).
% 0.47/0.66 tff(544,plain,
% 0.47/0.66 ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[543, 540])).
% 0.47/0.66 tff(545,plain,
% 0.47/0.66 (multiply(sk_c9, sk_c3) = sk_c8),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[544, 522])).
% 0.47/0.66 tff(546,plain,
% 0.47/0.66 (sk_c8 = multiply(sk_c9, sk_c3)),
% 0.47/0.66 inference(symmetry,[status(thm)],[545])).
% 0.47/0.66 tff(547,plain,
% 0.47/0.66 (sk_c8 = sk_c9),
% 0.47/0.66 inference(transitivity,[status(thm)],[546, 391, 271, 539, 9])).
% 0.47/0.66 tff(548,plain,
% 0.47/0.66 ((inverse(sk_c8) = sk_c8) <=> (inverse(sk_c8) = sk_c9)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[547])).
% 0.47/0.66 tff(549,plain,
% 0.47/0.66 ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c1, sk_c8) = sk_c7)),
% 0.47/0.66 inference(transitivity,[status(thm)],[548, 529])).
% 0.47/0.66 tff(550,plain,
% 0.47/0.66 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 0.47/0.66 inference(rewrite,[status(thm)],[])).
% 0.47/0.66 tff(551,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_16')).
% 0.47/0.66 tff(552,plain,
% 0.47/0.66 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 0.47/0.66 inference(modus_ponens,[status(thm)],[551, 550])).
% 0.47/0.66 tff(553,plain,
% 0.47/0.66 (inverse(sk_c1) = sk_c8),
% 0.47/0.66 inference(unit_resolution,[status(thm)],[552, 522])).
% 0.47/0.66 tff(554,plain,
% 0.47/0.66 (sk_c8 = inverse(sk_c1)),
% 0.47/0.66 inference(symmetry,[status(thm)],[553])).
% 0.47/0.66 tff(555,plain,
% 0.47/0.66 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[554])).
% 0.47/0.66 tff(556,plain,
% 0.47/0.66 (multiply(sk_c8, sk_c1) = identity),
% 0.47/0.66 inference(transitivity,[status(thm)],[555, 250])).
% 0.47/0.66 tff(557,plain,
% 0.47/0.66 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 0.47/0.66 inference(monotonicity,[status(thm)],[556])).
% 0.47/0.66 tff(558,plain,
% 0.47/0.66 (sk_c9 = multiply(sk_c1, sk_c8)),
% 0.47/0.66 inference(symmetry,[status(thm)],[526])).
% 0.47/0.67 tff(559,plain,
% 0.47/0.67 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[558])).
% 0.47/0.67 tff(560,plain,
% 0.47/0.67 (inverse(sk_c8) = sk_c8),
% 0.47/0.67 inference(transitivity,[status(thm)],[431, 473, 559, 420, 557, 11])).
% 0.47/0.67 tff(561,plain,
% 0.47/0.67 (multiply(sk_c1, sk_c8) = sk_c7),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[560, 549])).
% 0.47/0.67 tff(562,plain,
% 0.47/0.67 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 0.47/0.67 inference(symmetry,[status(thm)],[555])).
% 0.47/0.67 tff(563,plain,
% 0.47/0.67 (multiply(sk_c8, sk_c5) = multiply(sk_c8, sk_c1)),
% 0.47/0.67 inference(transitivity,[status(thm)],[496, 20, 251, 562])).
% 0.47/0.67 tff(564,plain,
% 0.47/0.67 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[563])).
% 0.47/0.67 tff(565,plain,
% 0.47/0.67 (sk_c9 = sk_c8),
% 0.47/0.67 inference(transitivity,[status(thm)],[287, 538, 270, 390, 545])).
% 0.47/0.67 tff(566,plain,
% 0.47/0.67 (multiply(multiply(sk_c8, sk_c5), sk_c9) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[565])).
% 0.47/0.67 tff(567,plain,
% 0.47/0.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c9) = multiply(sk_c8, multiply(sk_c5, sk_c9)))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(568,plain,
% 0.47/0.67 (multiply(multiply(sk_c8, sk_c5), sk_c9) = multiply(sk_c8, multiply(sk_c5, sk_c9))),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[567, 99])).
% 0.47/0.67 tff(569,plain,
% 0.47/0.67 (multiply(sk_c8, multiply(sk_c5, sk_c9)) = multiply(multiply(sk_c8, sk_c5), sk_c9)),
% 0.47/0.67 inference(symmetry,[status(thm)],[568])).
% 0.47/0.67 tff(570,plain,
% 0.47/0.67 (multiply(sk_c9, multiply(sk_c5, sk_c9)) = multiply(sk_c8, multiply(sk_c5, sk_c9))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[565])).
% 0.47/0.67 tff(571,plain,
% 0.47/0.67 (multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8),
% 0.47/0.67 inference(transitivity,[status(thm)],[570, 569, 566, 564, 557, 11])).
% 0.47/0.67 tff(572,plain,
% 0.47/0.67 (inverse(sk_c5) = sk_c9),
% 0.47/0.67 inference(transitivity,[status(thm)],[494, 546, 391, 271, 539, 9])).
% 0.47/0.67 tff(573,plain,
% 0.47/0.67 (inverse(sk_c8) = sk_c9),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[560, 548])).
% 0.47/0.67 tff(574,plain,
% 0.47/0.67 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))),
% 0.47/0.67 inference(rewrite,[status(thm)],[])).
% 0.47/0.67 tff(575,plain,
% 0.47/0.67 (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))),
% 0.47/0.67 inference(rewrite,[status(thm)],[])).
% 0.47/0.67 tff(576,plain,
% 0.47/0.67 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7))))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[575])).
% 0.47/0.67 tff(577,plain,
% 0.47/0.67 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))),
% 0.47/0.67 inference(transitivity,[status(thm)],[576, 574])).
% 0.47/0.67 tff(578,plain,
% 0.47/0.67 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(579,plain,
% 0.47/0.67 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c1) = sk_c8)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c9)) | (~(multiply(sk_c1, sk_c8) = sk_c7))),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[578, 577])).
% 0.47/0.67 tff(580,plain,
% 0.47/0.67 ((~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7))),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[579, 229, 431, 526, 553, 367])).
% 0.47/0.67 tff(581,plain,
% 0.47/0.67 ($false),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[580, 573, 572, 571, 561])).
% 0.47/0.67 tff(582,plain,(multiply(sk_c4, sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 0.47/0.67 tff(583,plain,
% 0.47/0.67 (multiply(sk_c4, sk_c8) = sk_c8),
% 0.47/0.67 inference(transitivity,[status(thm)],[582, 473, 509, 110, 502, 11])).
% 0.47/0.67 tff(584,plain,
% 0.47/0.67 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c8)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[583])).
% 0.47/0.67 tff(585,plain,
% 0.47/0.67 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 0.47/0.67 inference(symmetry,[status(thm)],[584])).
% 0.47/0.67 tff(586,plain,
% 0.47/0.67 (multiply(sk_c8, sk_c8) = multiply(multiply(identity, sk_c8), sk_c8)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[120])).
% 0.47/0.67 tff(587,plain,
% 0.47/0.67 (multiply(multiply(identity, sk_c8), sk_c8) = multiply(sk_c8, sk_c8)),
% 0.47/0.67 inference(symmetry,[status(thm)],[586])).
% 0.47/0.67 tff(588,plain,
% 0.47/0.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c8), sk_c8) = multiply(identity, multiply(sk_c8, sk_c8)))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(589,plain,
% 0.47/0.67 (multiply(multiply(identity, sk_c8), sk_c8) = multiply(identity, multiply(sk_c8, sk_c8))),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[588, 99])).
% 0.47/0.67 tff(590,plain,
% 0.47/0.67 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(multiply(identity, sk_c8), sk_c8)),
% 0.47/0.67 inference(symmetry,[status(thm)],[589])).
% 0.47/0.67 tff(591,plain,
% 0.47/0.67 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[500])).
% 0.47/0.67 tff(592,plain,
% 0.47/0.67 (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(identity, multiply(sk_c8, sk_c8))),
% 0.47/0.67 inference(symmetry,[status(thm)],[591])).
% 0.47/0.67 tff(593,plain,
% 0.47/0.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(594,plain,
% 0.47/0.67 (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[593, 99])).
% 0.47/0.67 tff(595,plain,
% 0.47/0.67 (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 0.47/0.67 inference(symmetry,[status(thm)],[594])).
% 0.47/0.67 tff(596,plain,
% 0.47/0.67 (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c9, sk_c8)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[507])).
% 0.47/0.67 tff(597,plain,
% 0.47/0.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(598,plain,
% 0.47/0.67 (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[597, 99])).
% 0.47/0.67 tff(599,plain,
% 0.47/0.67 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, sk_c8), sk_c8)),
% 0.47/0.67 inference(symmetry,[status(thm)],[598])).
% 0.47/0.67 tff(600,plain,
% 0.47/0.67 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(sk_c9, sk_c8)),
% 0.47/0.67 inference(transitivity,[status(thm)],[599, 596])).
% 0.47/0.67 tff(601,plain,
% 0.47/0.67 (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(sk_c9, sk_c8))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[600])).
% 0.47/0.67 tff(602,plain,
% 0.47/0.67 (multiply(sk_c8, multiply(sk_c9, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.47/0.67 inference(symmetry,[status(thm)],[601])).
% 0.47/0.67 tff(603,plain,
% 0.47/0.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c9), sk_c8) = multiply(sk_c8, multiply(sk_c9, sk_c8)))),
% 0.47/0.67 inference(quant_inst,[status(thm)],[])).
% 0.47/0.67 tff(604,plain,
% 0.47/0.67 (multiply(multiply(sk_c8, sk_c9), sk_c8) = multiply(sk_c8, multiply(sk_c9, sk_c8))),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[603, 99])).
% 0.47/0.67 tff(605,plain,
% 0.47/0.67 (multiply(sk_c8, sk_c9) = inverse(sk_c8)),
% 0.47/0.67 inference(transitivity,[status(thm)],[229, 432])).
% 0.47/0.67 tff(606,plain,
% 0.47/0.67 (multiply(multiply(sk_c8, sk_c9), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[605])).
% 0.47/0.67 tff(607,plain,
% 0.47/0.67 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c9), sk_c8)),
% 0.47/0.67 inference(symmetry,[status(thm)],[606])).
% 0.47/0.67 tff(608,plain,
% 0.47/0.67 (((inverse(sk_c6) = sk_c9) | (multiply(sk_c1, sk_c8) = sk_c9)) <=> ((inverse(sk_c6) = sk_c9) | (multiply(sk_c1, sk_c8) = sk_c9))),
% 0.47/0.67 inference(rewrite,[status(thm)],[])).
% 0.47/0.67 tff(609,plain,
% 0.47/0.67 (((multiply(sk_c1, sk_c8) = sk_c9) | (inverse(sk_c6) = sk_c9)) <=> ((inverse(sk_c6) = sk_c9) | (multiply(sk_c1, sk_c8) = sk_c9))),
% 0.47/0.67 inference(rewrite,[status(thm)],[])).
% 0.47/0.67 tff(610,axiom,((multiply(sk_c1, sk_c8) = sk_c9) | (inverse(sk_c6) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 0.47/0.67 tff(611,plain,
% 0.47/0.67 ((inverse(sk_c6) = sk_c9) | (multiply(sk_c1, sk_c8) = sk_c9)),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[610, 609])).
% 0.47/0.67 tff(612,plain,
% 0.47/0.67 ((inverse(sk_c6) = sk_c9) | (multiply(sk_c1, sk_c8) = sk_c9)),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[611, 608])).
% 0.47/0.67 tff(613,plain,
% 0.47/0.67 (inverse(sk_c6) = sk_c9),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[612, 503])).
% 0.47/0.67 tff(614,plain,
% 0.47/0.67 (sk_c9 = inverse(sk_c6)),
% 0.47/0.67 inference(symmetry,[status(thm)],[613])).
% 0.47/0.67 tff(615,plain,
% 0.47/0.67 (multiply(sk_c9, sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[614])).
% 0.47/0.67 tff(616,plain,
% 0.47/0.67 (multiply(sk_c9, sk_c6) = sk_c8),
% 0.47/0.67 inference(transitivity,[status(thm)],[615, 87, 147, 607, 604, 602, 595, 592, 590, 587, 585, 132, 521, 502, 11])).
% 0.47/0.67 tff(617,plain,
% 0.47/0.67 (multiply(multiply(sk_c9, sk_c6), sk_c9) = multiply(sk_c8, sk_c9)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[616])).
% 0.47/0.67 tff(618,plain,
% 0.47/0.67 (multiply(sk_c9, multiply(sk_c6, sk_c9)) = multiply(multiply(sk_c9, sk_c6), sk_c9)),
% 0.47/0.67 inference(symmetry,[status(thm)],[274])).
% 0.47/0.67 tff(619,plain,
% 0.47/0.67 (((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c6, sk_c9) = sk_c7)) <=> ((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c6, sk_c9) = sk_c7))),
% 0.47/0.67 inference(rewrite,[status(thm)],[])).
% 0.47/0.67 tff(620,axiom,((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c6, sk_c9) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 0.47/0.67 tff(621,plain,
% 0.47/0.67 ((multiply(sk_c1, sk_c8) = sk_c9) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[620, 619])).
% 0.47/0.67 tff(622,plain,
% 0.47/0.67 (multiply(sk_c6, sk_c9) = sk_c7),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[621, 503])).
% 0.47/0.67 tff(623,plain,
% 0.47/0.67 (sk_c7 = multiply(sk_c6, sk_c9)),
% 0.47/0.67 inference(symmetry,[status(thm)],[622])).
% 0.47/0.67 tff(624,plain,
% 0.47/0.67 (multiply(sk_c8, sk_c9) = multiply(sk_c6, sk_c9)),
% 0.47/0.67 inference(transitivity,[status(thm)],[229, 623])).
% 0.47/0.67 tff(625,plain,
% 0.47/0.67 (multiply(sk_c9, multiply(sk_c8, sk_c9)) = multiply(sk_c9, multiply(sk_c6, sk_c9))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[624])).
% 0.47/0.67 tff(626,plain,
% 0.47/0.67 (multiply(sk_c9, multiply(sk_c8, sk_c9)) = sk_c8),
% 0.47/0.67 inference(transitivity,[status(thm)],[625, 618, 617, 509, 110, 502, 11])).
% 0.47/0.67 tff(627,plain,
% 0.47/0.67 (multiply(sk_c9, multiply(sk_c6, sk_c9)) = multiply(sk_c9, multiply(sk_c8, sk_c9))),
% 0.47/0.67 inference(symmetry,[status(thm)],[625])).
% 0.47/0.67 tff(628,plain,
% 0.47/0.67 ((multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8) <=> (multiply(sk_c9, multiply(sk_c8, sk_c9)) = sk_c8)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[627])).
% 0.47/0.67 tff(629,plain,
% 0.47/0.67 ((~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) <=> (~(multiply(sk_c9, multiply(sk_c8, sk_c9)) = sk_c8))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[628])).
% 0.47/0.67 tff(630,plain,
% 0.47/0.67 (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[373, 229, 431, 582, 515, 507, 494, 622, 613, 367])).
% 0.47/0.67 tff(631,plain,
% 0.47/0.67 (~(multiply(sk_c9, multiply(sk_c8, sk_c9)) = sk_c8)),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[630, 629])).
% 0.47/0.67 tff(632,plain,
% 0.47/0.67 ($false),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[631, 626])).
% 0.47/0.67 tff(633,plain,(multiply(sk_c1, sk_c8) = sk_c9), inference(lemma,lemma(discharge,[]))).
% 0.47/0.67 tff(634,plain,
% 0.47/0.67 ((multiply(sk_c1, sk_c8) = sk_c7) <=> (sk_c9 = inverse(sk_c8))),
% 0.47/0.67 inference(monotonicity,[status(thm)],[633, 432])).
% 0.47/0.67 tff(635,plain,
% 0.47/0.67 ((multiply(sk_c1, sk_c8) = sk_c7) <=> (inverse(sk_c8) = sk_c9)),
% 0.47/0.67 inference(transitivity,[status(thm)],[634, 21])).
% 0.47/0.67 tff(636,plain,
% 0.47/0.67 ((inverse(sk_c8) = sk_c9) <=> (multiply(sk_c1, sk_c8) = sk_c7)),
% 0.47/0.67 inference(symmetry,[status(thm)],[635])).
% 0.47/0.67 tff(637,assumption,(~(multiply(sk_c5, sk_c8) = sk_c9)), introduced(assumption)).
% 0.47/0.67 tff(638,plain,
% 0.47/0.67 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9))),
% 0.47/0.67 inference(rewrite,[status(thm)],[])).
% 0.47/0.67 tff(639,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 0.47/0.67 tff(640,plain,
% 0.47/0.67 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[639, 638])).
% 0.47/0.67 tff(641,plain,
% 0.47/0.67 (inverse(sk_c1) = sk_c8),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[640, 637])).
% 0.47/0.67 tff(642,plain,
% 0.47/0.67 (sk_c8 = inverse(sk_c1)),
% 0.47/0.67 inference(symmetry,[status(thm)],[641])).
% 0.47/0.67 tff(643,plain,
% 0.47/0.67 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[642])).
% 0.47/0.67 tff(644,plain,
% 0.47/0.67 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 0.47/0.67 inference(symmetry,[status(thm)],[643])).
% 0.47/0.67 tff(645,plain,
% 0.47/0.67 (identity = multiply(sk_c8, sk_c1)),
% 0.47/0.67 inference(transitivity,[status(thm)],[251, 644])).
% 0.47/0.67 tff(646,plain,
% 0.47/0.67 (multiply(identity, sk_c9) = multiply(multiply(sk_c8, sk_c1), sk_c9)),
% 0.47/0.67 inference(monotonicity,[status(thm)],[645])).
% 0.47/0.67 tff(647,plain,
% 0.47/0.67 (multiply(multiply(sk_c8, sk_c1), sk_c9) = multiply(identity, sk_c9)),
% 0.47/0.67 inference(symmetry,[status(thm)],[646])).
% 0.47/0.67 tff(648,plain,
% 0.47/0.67 (((inverse(sk_c2) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9)) <=> ((inverse(sk_c2) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9))),
% 0.47/0.67 inference(rewrite,[status(thm)],[])).
% 0.47/0.67 tff(649,axiom,((inverse(sk_c2) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_39')).
% 0.47/0.67 tff(650,plain,
% 0.47/0.67 ((inverse(sk_c2) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 0.47/0.67 inference(modus_ponens,[status(thm)],[649, 648])).
% 0.47/0.67 tff(651,plain,
% 0.47/0.67 (inverse(sk_c2) = sk_c9),
% 0.47/0.67 inference(unit_resolution,[status(thm)],[650, 637])).
% 0.47/0.67 tff(652,plain,
% 0.47/0.67 (sk_c9 = inverse(sk_c2)),
% 0.47/0.67 inference(symmetry,[status(thm)],[651])).
% 0.47/0.67 tff(653,plain,
% 0.47/0.67 (multiply(sk_c9, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[652])).
% 0.47/0.68 tff(654,plain,
% 0.47/0.68 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c9, sk_c2)),
% 0.47/0.68 inference(symmetry,[status(thm)],[653])).
% 0.47/0.68 tff(655,plain,
% 0.47/0.68 (multiply(sk_c8, sk_c1) = multiply(sk_c9, sk_c2)),
% 0.47/0.68 inference(transitivity,[status(thm)],[643, 250, 265, 654])).
% 0.47/0.68 tff(656,plain,
% 0.47/0.68 (multiply(multiply(sk_c8, sk_c1), sk_c9) = multiply(multiply(sk_c9, sk_c2), sk_c9)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[655])).
% 0.47/0.68 tff(657,plain,
% 0.47/0.68 (multiply(multiply(sk_c9, sk_c2), sk_c9) = multiply(multiply(sk_c8, sk_c1), sk_c9)),
% 0.47/0.68 inference(symmetry,[status(thm)],[656])).
% 0.47/0.68 tff(658,plain,
% 0.47/0.68 (((multiply(sk_c5, sk_c8) = sk_c9) | (multiply(sk_c9, sk_c3) = sk_c8)) <=> ((multiply(sk_c5, sk_c8) = sk_c9) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.68 inference(rewrite,[status(thm)],[])).
% 0.47/0.68 tff(659,plain,
% 0.47/0.68 (((multiply(sk_c9, sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)) <=> ((multiply(sk_c5, sk_c8) = sk_c9) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.68 inference(rewrite,[status(thm)],[])).
% 0.47/0.68 tff(660,axiom,((multiply(sk_c9, sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_25')).
% 0.47/0.68 tff(661,plain,
% 0.47/0.68 ((multiply(sk_c5, sk_c8) = sk_c9) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.68 inference(modus_ponens,[status(thm)],[660, 659])).
% 0.47/0.68 tff(662,plain,
% 0.47/0.68 ((multiply(sk_c5, sk_c8) = sk_c9) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.68 inference(modus_ponens,[status(thm)],[661, 658])).
% 0.47/0.68 tff(663,plain,
% 0.47/0.68 (multiply(sk_c9, sk_c3) = sk_c8),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[662, 637])).
% 0.47/0.68 tff(664,plain,
% 0.47/0.68 (sk_c8 = multiply(sk_c9, sk_c3)),
% 0.47/0.68 inference(symmetry,[status(thm)],[663])).
% 0.47/0.68 tff(665,plain,
% 0.47/0.68 (sk_c8 = sk_c9),
% 0.47/0.68 inference(transitivity,[status(thm)],[664, 391, 271, 657, 647, 9])).
% 0.47/0.68 tff(666,plain,
% 0.47/0.68 ((inverse(sk_c8) = sk_c8) <=> (inverse(sk_c8) = sk_c9)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[665])).
% 0.47/0.68 tff(667,plain,
% 0.47/0.68 ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c1, sk_c8) = sk_c7)),
% 0.47/0.68 inference(transitivity,[status(thm)],[666, 636])).
% 0.47/0.68 tff(668,plain,
% 0.47/0.68 (multiply(sk_c8, sk_c1) = identity),
% 0.47/0.68 inference(transitivity,[status(thm)],[643, 250])).
% 0.47/0.68 tff(669,plain,
% 0.47/0.68 (multiply(multiply(sk_c8, sk_c1), sk_c8) = multiply(identity, sk_c8)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[668])).
% 0.47/0.68 tff(670,plain,
% 0.47/0.68 (sk_c9 = multiply(sk_c1, sk_c8)),
% 0.47/0.68 inference(symmetry,[status(thm)],[633])).
% 0.47/0.68 tff(671,plain,
% 0.47/0.68 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c1, sk_c8))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[670])).
% 0.47/0.68 tff(672,plain,
% 0.47/0.68 (inverse(sk_c8) = sk_c8),
% 0.47/0.68 inference(transitivity,[status(thm)],[431, 473, 671, 420, 669, 11])).
% 0.47/0.68 tff(673,plain,
% 0.47/0.68 (multiply(sk_c1, sk_c8) = sk_c7),
% 0.47/0.68 inference(modus_ponens,[status(thm)],[672, 667])).
% 0.47/0.68 tff(674,plain,
% 0.47/0.68 (multiply(sk_c8, sk_c5) = multiply(sk_c8, sk_c1)),
% 0.47/0.68 inference(transitivity,[status(thm)],[496, 20, 251, 644])).
% 0.47/0.68 tff(675,plain,
% 0.47/0.68 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c1), sk_c8)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[674])).
% 0.47/0.68 tff(676,plain,
% 0.47/0.68 (sk_c9 = sk_c8),
% 0.47/0.68 inference(transitivity,[status(thm)],[287, 646, 656, 270, 390, 663])).
% 0.47/0.68 tff(677,plain,
% 0.47/0.68 (multiply(multiply(sk_c8, sk_c5), sk_c9) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[676])).
% 0.47/0.68 tff(678,plain,
% 0.47/0.68 (multiply(sk_c9, multiply(sk_c5, sk_c9)) = multiply(sk_c8, multiply(sk_c5, sk_c9))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[676])).
% 0.47/0.68 tff(679,plain,
% 0.47/0.68 (multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8),
% 0.47/0.68 inference(transitivity,[status(thm)],[678, 569, 677, 675, 669, 11])).
% 0.47/0.68 tff(680,plain,
% 0.47/0.68 (inverse(sk_c5) = sk_c9),
% 0.47/0.68 inference(transitivity,[status(thm)],[494, 664, 391, 271, 657, 647, 9])).
% 0.47/0.68 tff(681,plain,
% 0.47/0.68 (inverse(sk_c8) = sk_c9),
% 0.47/0.68 inference(modus_ponens,[status(thm)],[672, 666])).
% 0.47/0.68 tff(682,plain,
% 0.47/0.68 ((~(inverse(sk_c8) = sk_c9)) | (~(inverse(sk_c5) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[579, 229, 431, 633, 641, 367])).
% 0.47/0.68 tff(683,plain,
% 0.47/0.68 ($false),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[682, 681, 680, 679, 673])).
% 0.47/0.68 tff(684,plain,(multiply(sk_c5, sk_c8) = sk_c9), inference(lemma,lemma(discharge,[]))).
% 0.47/0.68 tff(685,plain,
% 0.47/0.68 (sk_c9 = multiply(sk_c5, sk_c8)),
% 0.47/0.68 inference(symmetry,[status(thm)],[684])).
% 0.47/0.68 tff(686,plain,
% 0.47/0.68 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[685])).
% 0.47/0.68 tff(687,plain,
% 0.47/0.68 (sk_c7 = sk_c8),
% 0.47/0.68 inference(transitivity,[status(thm)],[473, 686, 110, 498, 11])).
% 0.47/0.68 tff(688,plain,
% 0.47/0.68 (multiply(sk_c7, sk_c7) = multiply(sk_c8, sk_c8)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[687, 687])).
% 0.47/0.68 tff(689,plain,
% 0.47/0.68 (multiply(sk_c8, sk_c8) = multiply(sk_c7, sk_c7)),
% 0.47/0.68 inference(symmetry,[status(thm)],[688])).
% 0.47/0.68 tff(690,plain,
% 0.47/0.68 (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c9, sk_c8)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[684])).
% 0.47/0.68 tff(691,plain,
% 0.47/0.68 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(sk_c9, sk_c8)),
% 0.47/0.68 inference(transitivity,[status(thm)],[599, 690])).
% 0.47/0.68 tff(692,plain,
% 0.47/0.68 (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(sk_c9, sk_c8))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[691])).
% 0.47/0.68 tff(693,plain,
% 0.47/0.68 (multiply(sk_c8, multiply(sk_c9, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 0.47/0.68 inference(symmetry,[status(thm)],[692])).
% 0.47/0.68 tff(694,plain,
% 0.47/0.68 (identity = multiply(sk_c7, sk_c7)),
% 0.47/0.68 inference(transitivity,[status(thm)],[147, 607, 604, 693, 595, 592, 590, 587, 689])).
% 0.47/0.68 tff(695,plain,
% 0.47/0.68 (multiply(identity, sk_c9) = multiply(multiply(sk_c7, sk_c7), sk_c9)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[694])).
% 0.47/0.68 tff(696,plain,
% 0.47/0.68 (multiply(multiply(sk_c7, sk_c7), sk_c9) = multiply(identity, sk_c9)),
% 0.47/0.68 inference(symmetry,[status(thm)],[695])).
% 0.47/0.68 tff(697,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c9) = multiply(sk_c7, multiply(sk_c7, sk_c9)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(698,plain,
% 0.47/0.68 (multiply(multiply(sk_c7, sk_c7), sk_c9) = multiply(sk_c7, multiply(sk_c7, sk_c9))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[697, 99])).
% 0.47/0.68 tff(699,plain,
% 0.47/0.68 (multiply(sk_c7, multiply(sk_c7, sk_c9)) = multiply(multiply(sk_c7, sk_c7), sk_c9)),
% 0.47/0.68 inference(symmetry,[status(thm)],[698])).
% 0.47/0.68 tff(700,plain,
% 0.47/0.68 (multiply(sk_c7, sk_c9) = multiply(sk_c8, sk_c9)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[687])).
% 0.47/0.68 tff(701,plain,
% 0.47/0.68 (multiply(sk_c7, sk_c9) = sk_c8),
% 0.47/0.68 inference(transitivity,[status(thm)],[700, 686, 110, 498, 11])).
% 0.47/0.68 tff(702,plain,
% 0.47/0.68 (multiply(sk_c7, multiply(sk_c7, sk_c9)) = multiply(sk_c8, sk_c8)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[687, 701])).
% 0.47/0.68 tff(703,plain,
% 0.47/0.68 (multiply(sk_c8, sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c9))),
% 0.47/0.68 inference(symmetry,[status(thm)],[702])).
% 0.47/0.68 tff(704,plain,
% 0.47/0.68 (identity = multiply(sk_c8, sk_c8)),
% 0.47/0.68 inference(transitivity,[status(thm)],[147, 607, 604, 693, 595, 592, 590, 587])).
% 0.47/0.68 tff(705,plain,
% 0.47/0.68 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))), multiply(sk_c2, multiply(sk_c1, sk_c4))) = identity)),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(706,plain,
% 0.47/0.68 (multiply(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))), multiply(sk_c2, multiply(sk_c1, sk_c4))) = identity),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[705, 18])).
% 0.47/0.68 tff(707,plain,
% 0.47/0.68 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(sk_c8, sk_c8))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[704])).
% 0.47/0.68 tff(708,plain,
% 0.47/0.68 (multiply(multiply(sk_c1, identity), sk_c4) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[707])).
% 0.47/0.68 tff(709,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), sk_c4) = multiply(sk_c1, multiply(identity, sk_c4)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(710,plain,
% 0.47/0.68 (multiply(multiply(sk_c1, identity), sk_c4) = multiply(sk_c1, multiply(identity, sk_c4))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[709, 99])).
% 0.47/0.68 tff(711,plain,
% 0.47/0.68 (multiply(sk_c1, multiply(identity, sk_c4)) = multiply(multiply(sk_c1, identity), sk_c4)),
% 0.47/0.68 inference(symmetry,[status(thm)],[710])).
% 0.47/0.68 tff(712,plain,
% 0.47/0.68 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(713,plain,
% 0.47/0.68 (multiply(identity, sk_c4) = sk_c4),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[712, 7])).
% 0.47/0.68 tff(714,plain,
% 0.47/0.68 (sk_c4 = multiply(identity, sk_c4)),
% 0.47/0.68 inference(symmetry,[status(thm)],[713])).
% 0.47/0.68 tff(715,plain,
% 0.47/0.68 (multiply(sk_c1, sk_c4) = multiply(sk_c1, multiply(identity, sk_c4))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[714])).
% 0.47/0.68 tff(716,plain,
% 0.47/0.68 (multiply(sk_c1, sk_c4) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)),
% 0.47/0.68 inference(transitivity,[status(thm)],[715, 711, 708])).
% 0.47/0.68 tff(717,plain,
% 0.47/0.68 (multiply(sk_c2, multiply(sk_c1, sk_c4)) = multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[716])).
% 0.47/0.68 tff(718,plain,
% 0.47/0.68 (multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)) = multiply(sk_c2, multiply(sk_c1, sk_c4))),
% 0.47/0.68 inference(symmetry,[status(thm)],[717])).
% 0.47/0.68 tff(719,plain,
% 0.47/0.68 (multiply(sk_c5, sk_c4) = multiply(sk_c5, multiply(identity, sk_c4))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[714])).
% 0.47/0.68 tff(720,plain,
% 0.47/0.68 (multiply(sk_c5, multiply(identity, sk_c4)) = multiply(sk_c5, sk_c4)),
% 0.47/0.68 inference(symmetry,[status(thm)],[719])).
% 0.47/0.68 tff(721,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, identity), sk_c4) = multiply(sk_c5, multiply(identity, sk_c4)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(722,plain,
% 0.47/0.68 (multiply(multiply(sk_c5, identity), sk_c4) = multiply(sk_c5, multiply(identity, sk_c4))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[721, 99])).
% 0.47/0.68 tff(723,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), sk_c8) = multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(724,plain,
% 0.47/0.68 (multiply(multiply(sk_c1, sk_c8), sk_c8) = multiply(sk_c1, multiply(sk_c8, sk_c8))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[723, 99])).
% 0.47/0.68 tff(725,plain,
% 0.47/0.68 (multiply(sk_c9, sk_c8) = multiply(multiply(sk_c1, sk_c8), sk_c8)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[670])).
% 0.47/0.68 tff(726,plain,
% 0.47/0.68 (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[704])).
% 0.47/0.68 tff(727,plain,
% 0.47/0.68 (multiply(sk_c5, identity) = multiply(sk_c1, multiply(sk_c8, sk_c8))),
% 0.47/0.68 inference(transitivity,[status(thm)],[726, 599, 690, 725, 724])).
% 0.47/0.68 tff(728,plain,
% 0.47/0.68 (multiply(multiply(sk_c5, identity), sk_c4) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[727])).
% 0.47/0.68 tff(729,plain,
% 0.47/0.68 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4) = multiply(multiply(sk_c5, identity), sk_c4)),
% 0.47/0.68 inference(symmetry,[status(thm)],[728])).
% 0.47/0.68 tff(730,plain,
% 0.47/0.68 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4) = multiply(sk_c5, sk_c4)),
% 0.47/0.68 inference(transitivity,[status(thm)],[729, 722, 720])).
% 0.47/0.68 tff(731,plain,
% 0.47/0.68 (multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)) = multiply(sk_c2, multiply(sk_c5, sk_c4))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[730])).
% 0.47/0.68 tff(732,plain,
% 0.47/0.68 (multiply(sk_c2, multiply(sk_c5, sk_c4)) = multiply(sk_c2, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4))),
% 0.47/0.68 inference(symmetry,[status(thm)],[731])).
% 0.47/0.68 tff(733,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c5), sk_c4) = multiply(sk_c2, multiply(sk_c5, sk_c4)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(734,plain,
% 0.47/0.68 (multiply(multiply(sk_c2, sk_c5), sk_c4) = multiply(sk_c2, multiply(sk_c5, sk_c4))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[733, 99])).
% 0.47/0.68 tff(735,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c1), identity) = multiply(sk_c2, multiply(sk_c1, identity)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(736,plain,
% 0.47/0.68 (multiply(multiply(sk_c2, sk_c1), identity) = multiply(sk_c2, multiply(sk_c1, identity))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[735, 99])).
% 0.47/0.68 tff(737,plain,
% 0.47/0.68 (multiply(sk_c2, multiply(sk_c1, identity)) = multiply(multiply(sk_c2, sk_c1), identity)),
% 0.47/0.68 inference(symmetry,[status(thm)],[736])).
% 0.47/0.68 tff(738,plain,
% 0.47/0.68 (multiply(sk_c1, multiply(sk_c8, sk_c8)) = multiply(sk_c1, identity)),
% 0.47/0.68 inference(symmetry,[status(thm)],[707])).
% 0.47/0.68 tff(739,plain,
% 0.47/0.68 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(740,plain,
% 0.47/0.68 (multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c1, multiply(sk_c8, sk_c8))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[739, 7])).
% 0.47/0.68 tff(741,plain,
% 0.47/0.68 (multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[694])).
% 0.47/0.68 tff(742,plain,
% 0.47/0.68 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.47/0.68 inference(symmetry,[status(thm)],[741])).
% 0.47/0.68 tff(743,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8)))))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(744,plain,
% 0.47/0.68 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[743, 99])).
% 0.47/0.68 tff(745,plain,
% 0.47/0.68 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.47/0.68 inference(symmetry,[status(thm)],[744])).
% 0.47/0.68 tff(746,plain,
% 0.47/0.68 (multiply(multiply(sk_c1, sk_c8), sk_c8) = multiply(sk_c9, sk_c8)),
% 0.47/0.68 inference(symmetry,[status(thm)],[725])).
% 0.47/0.68 tff(747,plain,
% 0.47/0.68 (multiply(sk_c1, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c1, sk_c8), sk_c8)),
% 0.47/0.68 inference(symmetry,[status(thm)],[724])).
% 0.47/0.68 tff(748,plain,
% 0.47/0.68 (multiply(sk_c1, multiply(sk_c8, sk_c8)) = multiply(sk_c9, sk_c8)),
% 0.47/0.68 inference(transitivity,[status(thm)],[747, 746])).
% 0.47/0.68 tff(749,plain,
% 0.47/0.68 (multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(sk_c9, sk_c8))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[687, 748])).
% 0.47/0.68 tff(750,plain,
% 0.47/0.68 (multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c8, sk_c8)),
% 0.47/0.68 inference(transitivity,[status(thm)],[749, 693, 595, 592, 590, 587])).
% 0.47/0.68 tff(751,plain,
% 0.47/0.68 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[750])).
% 0.47/0.68 tff(752,plain,
% 0.47/0.68 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 0.47/0.68 inference(symmetry,[status(thm)],[751])).
% 0.47/0.68 tff(753,plain,
% 0.47/0.68 (sk_c7 = inverse(sk_c5)),
% 0.47/0.68 inference(transitivity,[status(thm)],[473, 686, 110, 498, 11, 495])).
% 0.47/0.68 tff(754,plain,
% 0.47/0.68 (multiply(sk_c7, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[753])).
% 0.47/0.68 tff(755,plain,
% 0.47/0.68 (multiply(sk_c7, sk_c5) = multiply(sk_c8, sk_c8)),
% 0.47/0.68 inference(transitivity,[status(thm)],[754, 20, 147, 607, 604, 693, 595, 592, 590, 587])).
% 0.47/0.68 tff(756,plain,
% 0.47/0.68 (multiply(sk_c7, multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[755])).
% 0.47/0.68 tff(757,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c5) = multiply(sk_c7, multiply(sk_c7, sk_c5)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(758,plain,
% 0.47/0.68 (multiply(multiply(sk_c7, sk_c7), sk_c5) = multiply(sk_c7, multiply(sk_c7, sk_c5))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[757, 99])).
% 0.47/0.68 tff(759,plain,
% 0.47/0.68 (multiply(identity, sk_c5) = multiply(multiply(sk_c7, sk_c7), sk_c5)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[694])).
% 0.47/0.68 tff(760,plain,
% 0.47/0.68 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(761,plain,
% 0.47/0.68 (multiply(identity, sk_c5) = sk_c5),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[760, 7])).
% 0.47/0.68 tff(762,plain,
% 0.47/0.68 (sk_c5 = multiply(identity, sk_c5)),
% 0.47/0.68 inference(symmetry,[status(thm)],[761])).
% 0.47/0.68 tff(763,plain,
% 0.47/0.68 (sk_c5 = multiply(sk_c1, identity)),
% 0.47/0.68 inference(transitivity,[status(thm)],[762, 759, 758, 756, 752, 745, 742, 740, 738])).
% 0.47/0.68 tff(764,plain,
% 0.47/0.68 (multiply(sk_c2, sk_c5) = multiply(sk_c2, multiply(sk_c1, identity))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[763])).
% 0.47/0.68 tff(765,plain,
% 0.47/0.68 (multiply(sk_c2, sk_c5) = multiply(multiply(sk_c2, sk_c1), identity)),
% 0.47/0.68 inference(transitivity,[status(thm)],[764, 737])).
% 0.47/0.68 tff(766,plain,
% 0.47/0.68 (multiply(multiply(sk_c2, sk_c5), sk_c4) = multiply(multiply(multiply(sk_c2, sk_c1), identity), sk_c4)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[765])).
% 0.47/0.68 tff(767,plain,
% 0.47/0.68 (multiply(multiply(multiply(sk_c2, sk_c1), identity), sk_c4) = multiply(multiply(sk_c2, sk_c5), sk_c4)),
% 0.47/0.68 inference(symmetry,[status(thm)],[766])).
% 0.47/0.68 tff(768,plain,
% 0.47/0.68 (multiply(multiply(sk_c2, sk_c1), sk_c7) = multiply(multiply(sk_c2, sk_c1), sk_c8)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[687])).
% 0.47/0.68 tff(769,plain,
% 0.47/0.68 (multiply(multiply(sk_c2, sk_c1), sk_c8) = multiply(multiply(sk_c2, sk_c1), sk_c7)),
% 0.47/0.68 inference(symmetry,[status(thm)],[768])).
% 0.47/0.68 tff(770,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c1), sk_c8) = multiply(sk_c2, multiply(sk_c1, sk_c8)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(771,plain,
% 0.47/0.68 (multiply(multiply(sk_c2, sk_c1), sk_c8) = multiply(sk_c2, multiply(sk_c1, sk_c8))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[770, 99])).
% 0.47/0.68 tff(772,plain,
% 0.47/0.68 (multiply(sk_c2, multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c2, sk_c1), sk_c8)),
% 0.47/0.68 inference(symmetry,[status(thm)],[771])).
% 0.47/0.68 tff(773,plain,
% 0.47/0.68 (multiply(sk_c2, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c8))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[670])).
% 0.47/0.68 tff(774,plain,
% 0.47/0.68 (sk_c3 = multiply(sk_c2, sk_c9)),
% 0.47/0.68 inference(symmetry,[status(thm)],[389])).
% 0.47/0.68 tff(775,plain,
% 0.47/0.68 (sk_c3 = multiply(multiply(sk_c2, sk_c1), sk_c7)),
% 0.47/0.68 inference(transitivity,[status(thm)],[774, 773, 772, 769])).
% 0.47/0.68 tff(776,plain,
% 0.47/0.68 (multiply(sk_c3, sk_c7) = multiply(multiply(multiply(sk_c2, sk_c1), sk_c7), sk_c7)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[775])).
% 0.47/0.68 tff(777,plain,
% 0.47/0.68 (multiply(multiply(multiply(sk_c2, sk_c1), sk_c7), sk_c7) = multiply(sk_c3, sk_c7)),
% 0.47/0.68 inference(symmetry,[status(thm)],[776])).
% 0.47/0.68 tff(778,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c1), sk_c7), sk_c7) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c7, sk_c7)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(779,plain,
% 0.47/0.68 (multiply(multiply(multiply(sk_c2, sk_c1), sk_c7), sk_c7) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c7, sk_c7))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[778, 99])).
% 0.47/0.68 tff(780,plain,
% 0.47/0.68 (multiply(multiply(sk_c2, sk_c1), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c1), sk_c7), sk_c7)),
% 0.47/0.68 inference(symmetry,[status(thm)],[779])).
% 0.47/0.68 tff(781,plain,
% 0.47/0.68 (multiply(multiply(sk_c2, sk_c1), identity) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c7, sk_c7))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[694])).
% 0.47/0.68 tff(782,plain,
% 0.47/0.68 (multiply(multiply(sk_c2, sk_c1), identity) = multiply(sk_c3, sk_c7)),
% 0.47/0.68 inference(transitivity,[status(thm)],[781, 780, 777])).
% 0.47/0.68 tff(783,plain,
% 0.47/0.68 (multiply(multiply(multiply(sk_c2, sk_c1), identity), sk_c4) = multiply(multiply(sk_c3, sk_c7), sk_c4)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[782])).
% 0.47/0.68 tff(784,plain,
% 0.47/0.68 (multiply(multiply(sk_c3, sk_c7), sk_c4) = multiply(multiply(multiply(sk_c2, sk_c1), identity), sk_c4)),
% 0.47/0.68 inference(symmetry,[status(thm)],[783])).
% 0.47/0.68 tff(785,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c4) = multiply(sk_c3, multiply(sk_c7, sk_c4)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(786,plain,
% 0.47/0.68 (multiply(multiply(sk_c3, sk_c7), sk_c4) = multiply(sk_c3, multiply(sk_c7, sk_c4))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[785, 99])).
% 0.47/0.68 tff(787,plain,
% 0.47/0.68 (multiply(sk_c3, multiply(sk_c7, sk_c4)) = multiply(multiply(sk_c3, sk_c7), sk_c4)),
% 0.47/0.68 inference(symmetry,[status(thm)],[786])).
% 0.47/0.68 tff(788,plain,
% 0.47/0.68 (multiply(sk_c5, sk_c7) = multiply(sk_c5, sk_c8)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[687])).
% 0.47/0.68 tff(789,plain,
% 0.47/0.68 (multiply(sk_c5, sk_c8) = multiply(sk_c5, sk_c7)),
% 0.47/0.68 inference(symmetry,[status(thm)],[788])).
% 0.47/0.68 tff(790,plain,
% 0.47/0.68 (sk_c9 = multiply(sk_c5, sk_c7)),
% 0.47/0.68 inference(transitivity,[status(thm)],[685, 789])).
% 0.47/0.68 tff(791,plain,
% 0.47/0.68 (multiply(sk_c9, multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[790])).
% 0.47/0.68 tff(792,plain,
% 0.47/0.68 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c9, multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.47/0.68 inference(symmetry,[status(thm)],[791])).
% 0.47/0.68 tff(793,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8)))))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(794,plain,
% 0.47/0.68 (multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, multiply(sk_c8, sk_c8))) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[793, 99])).
% 0.47/0.68 tff(795,plain,
% 0.47/0.68 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.47/0.68 inference(symmetry,[status(thm)],[794])).
% 0.47/0.68 tff(796,plain,
% 0.47/0.68 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8)))) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 0.47/0.68 inference(monotonicity,[status(thm)],[750])).
% 0.47/0.68 tff(797,plain,
% 0.47/0.68 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8))))),
% 0.47/0.68 inference(symmetry,[status(thm)],[796])).
% 0.47/0.68 tff(798,plain,
% 0.47/0.68 (multiply(sk_c9, sk_c8) = multiply(multiply(sk_c5, sk_c8), sk_c8)),
% 0.47/0.68 inference(symmetry,[status(thm)],[690])).
% 0.47/0.68 tff(799,plain,
% 0.47/0.68 (multiply(sk_c1, multiply(sk_c8, sk_c8)) = multiply(sk_c9, multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.47/0.68 inference(transitivity,[status(thm)],[747, 746, 798, 598, 797, 795, 792])).
% 0.47/0.68 tff(800,plain,
% 0.47/0.68 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4) = multiply(multiply(sk_c9, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4)),
% 0.47/0.68 inference(monotonicity,[status(thm)],[799])).
% 0.47/0.68 tff(801,plain,
% 0.47/0.68 (multiply(multiply(sk_c9, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)),
% 0.47/0.68 inference(symmetry,[status(thm)],[800])).
% 0.47/0.68 tff(802,plain,
% 0.47/0.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4) = multiply(sk_c9, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)))),
% 0.47/0.68 inference(quant_inst,[status(thm)],[])).
% 0.47/0.68 tff(803,plain,
% 0.47/0.68 (multiply(multiply(sk_c9, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4) = multiply(sk_c9, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4))),
% 0.47/0.68 inference(unit_resolution,[status(thm)],[802, 99])).
% 0.47/0.68 tff(804,plain,
% 0.47/0.68 (multiply(sk_c9, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)) = multiply(multiply(sk_c9, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4)),
% 0.47/0.69 inference(symmetry,[status(thm)],[803])).
% 0.47/0.69 tff(805,plain,
% 0.47/0.69 (multiply(sk_c8, multiply(sk_c9, sk_c8)) = multiply(multiply(sk_c8, sk_c9), sk_c8)),
% 0.47/0.69 inference(symmetry,[status(thm)],[604])).
% 0.47/0.69 tff(806,plain,
% 0.47/0.69 (sk_c9 = identity),
% 0.47/0.69 inference(transitivity,[status(thm)],[287, 695, 698, 702, 586, 589, 591, 594, 692, 805, 606, 146])).
% 0.47/0.69 tff(807,plain,
% 0.47/0.69 (multiply(sk_c9, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)) = multiply(identity, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[806])).
% 0.47/0.69 tff(808,plain,
% 0.47/0.69 (multiply(identity, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)) = multiply(sk_c9, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4))),
% 0.47/0.69 inference(symmetry,[status(thm)],[807])).
% 0.47/0.69 tff(809,plain,
% 0.47/0.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4) = multiply(identity, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)))),
% 0.47/0.69 inference(quant_inst,[status(thm)],[])).
% 0.47/0.69 tff(810,plain,
% 0.47/0.69 (multiply(multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4) = multiply(identity, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4))),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[809, 99])).
% 0.47/0.69 tff(811,plain,
% 0.47/0.69 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c9)),
% 0.47/0.69 inference(symmetry,[status(thm)],[686])).
% 0.47/0.69 tff(812,plain,
% 0.47/0.69 (multiply(sk_c7, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[432])).
% 0.47/0.69 tff(813,plain,
% 0.47/0.69 (multiply(sk_c7, sk_c8) = multiply(sk_c8, sk_c5)),
% 0.47/0.69 inference(transitivity,[status(thm)],[812, 146, 85, 499])).
% 0.47/0.69 tff(814,plain,
% 0.47/0.69 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[813])).
% 0.47/0.69 tff(815,plain,
% 0.47/0.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 0.47/0.69 inference(quant_inst,[status(thm)],[])).
% 0.47/0.69 tff(816,plain,
% 0.47/0.69 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[815, 99])).
% 0.47/0.69 tff(817,plain,
% 0.47/0.69 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 0.47/0.69 inference(symmetry,[status(thm)],[816])).
% 0.47/0.69 tff(818,plain,
% 0.47/0.69 (multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))) = sk_c7),
% 0.47/0.69 inference(transitivity,[status(thm)],[741, 744, 751, 817, 814, 109, 811, 229])).
% 0.47/0.69 tff(819,plain,
% 0.47/0.69 (multiply(multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4) = multiply(sk_c7, sk_c4)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[818])).
% 0.47/0.69 tff(820,plain,
% 0.47/0.69 (multiply(sk_c7, sk_c4) = multiply(multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4)),
% 0.47/0.69 inference(symmetry,[status(thm)],[819])).
% 0.47/0.69 tff(821,plain,
% 0.47/0.69 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)),
% 0.47/0.69 inference(transitivity,[status(thm)],[820, 810, 808, 804, 801])).
% 0.47/0.69 tff(822,plain,
% 0.47/0.69 (multiply(sk_c3, multiply(sk_c7, sk_c4)) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4))),
% 0.47/0.69 inference(monotonicity,[status(thm)],[821])).
% 0.47/0.69 tff(823,plain,
% 0.47/0.69 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)) = multiply(sk_c3, multiply(sk_c7, sk_c4))),
% 0.47/0.69 inference(symmetry,[status(thm)],[822])).
% 0.47/0.69 tff(824,plain,
% 0.47/0.69 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 0.47/0.69 inference(quant_inst,[status(thm)],[])).
% 0.47/0.69 tff(825,plain,
% 0.47/0.69 (multiply(identity, sk_c3) = sk_c3),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[824, 7])).
% 0.47/0.69 tff(826,plain,
% 0.47/0.69 (multiply(sk_c9, sk_c3) = multiply(identity, sk_c3)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[806])).
% 0.47/0.69 tff(827,plain,
% 0.47/0.69 (sk_c7 = sk_c8),
% 0.47/0.69 inference(transitivity,[status(thm)],[473, 686, 110, 502, 11])).
% 0.47/0.69 tff(828,plain,
% 0.47/0.69 (inverse(sk_c7) = inverse(sk_c8)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[827])).
% 0.47/0.69 tff(829,plain,
% 0.47/0.69 (inverse(sk_c7) = sk_c8),
% 0.47/0.69 inference(transitivity,[status(thm)],[828, 431, 473, 686, 110, 502, 11])).
% 0.47/0.69 tff(830,assumption,(~(multiply(sk_c9, sk_c3) = sk_c8)), introduced(assumption)).
% 0.47/0.69 tff(831,plain,
% 0.47/0.69 (((multiply(sk_c6, sk_c9) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8)) <=> ((multiply(sk_c6, sk_c9) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.69 inference(rewrite,[status(thm)],[])).
% 0.47/0.69 tff(832,plain,
% 0.47/0.69 (((multiply(sk_c9, sk_c3) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)) <=> ((multiply(sk_c6, sk_c9) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.69 inference(rewrite,[status(thm)],[])).
% 0.47/0.69 tff(833,axiom,((multiply(sk_c9, sk_c3) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_27')).
% 0.47/0.69 tff(834,plain,
% 0.47/0.69 ((multiply(sk_c6, sk_c9) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.69 inference(modus_ponens,[status(thm)],[833, 832])).
% 0.47/0.69 tff(835,plain,
% 0.47/0.69 ((multiply(sk_c6, sk_c9) = sk_c7) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.69 inference(modus_ponens,[status(thm)],[834, 831])).
% 0.47/0.69 tff(836,plain,
% 0.47/0.69 (multiply(sk_c6, sk_c9) = sk_c7),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[835, 830])).
% 0.47/0.69 tff(837,plain,
% 0.47/0.69 (multiply(sk_c6, sk_c9) = sk_c8),
% 0.47/0.69 inference(transitivity,[status(thm)],[836, 473, 686, 110, 502, 11])).
% 0.47/0.69 tff(838,plain,
% 0.47/0.69 (multiply(sk_c7, sk_c9) = multiply(sk_c8, sk_c9)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[827])).
% 0.47/0.69 tff(839,plain,
% 0.47/0.69 (multiply(sk_c7, sk_c9) = sk_c8),
% 0.47/0.69 inference(transitivity,[status(thm)],[838, 686, 110, 502, 11])).
% 0.47/0.69 tff(840,plain,
% 0.47/0.69 (multiply(sk_c7, multiply(sk_c7, sk_c9)) = multiply(sk_c8, sk_c8)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[827, 839])).
% 0.47/0.69 tff(841,plain,
% 0.47/0.69 (multiply(sk_c7, sk_c7) = multiply(sk_c8, sk_c8)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[827, 827])).
% 0.47/0.69 tff(842,plain,
% 0.47/0.69 (multiply(sk_c8, sk_c8) = multiply(sk_c7, sk_c7)),
% 0.47/0.69 inference(symmetry,[status(thm)],[841])).
% 0.47/0.69 tff(843,plain,
% 0.47/0.69 (identity = multiply(sk_c7, sk_c7)),
% 0.47/0.69 inference(transitivity,[status(thm)],[147, 607, 604, 693, 595, 592, 590, 587, 842])).
% 0.47/0.69 tff(844,plain,
% 0.47/0.69 (multiply(identity, sk_c9) = multiply(multiply(sk_c7, sk_c7), sk_c9)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[843])).
% 0.47/0.69 tff(845,plain,
% 0.47/0.69 (sk_c9 = multiply(sk_c8, sk_c5)),
% 0.47/0.69 inference(transitivity,[status(thm)],[287, 844, 698, 840, 586, 589, 591, 594, 692, 805, 606, 146, 85, 499])).
% 0.47/0.69 tff(846,plain,
% 0.47/0.69 (multiply(sk_c9, multiply(sk_c6, sk_c9)) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.47/0.69 inference(monotonicity,[status(thm)],[845, 837])).
% 0.47/0.69 tff(847,plain,
% 0.47/0.69 (multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8),
% 0.47/0.69 inference(transitivity,[status(thm)],[846, 502, 11])).
% 0.47/0.69 tff(848,plain,
% 0.47/0.69 (multiply(multiply(sk_c7, sk_c7), sk_c9) = multiply(identity, sk_c9)),
% 0.47/0.69 inference(symmetry,[status(thm)],[844])).
% 0.47/0.69 tff(849,plain,
% 0.47/0.69 (multiply(sk_c8, sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c9))),
% 0.47/0.69 inference(symmetry,[status(thm)],[840])).
% 0.47/0.69 tff(850,plain,
% 0.47/0.69 (multiply(sk_c7, sk_c8) = sk_c9),
% 0.47/0.69 inference(transitivity,[status(thm)],[812, 607, 604, 693, 595, 592, 590, 587, 849, 699, 848, 9])).
% 0.47/0.69 tff(851,plain,
% 0.47/0.69 (((inverse(sk_c6) = sk_c9) | (multiply(sk_c9, sk_c3) = sk_c8)) <=> ((inverse(sk_c6) = sk_c9) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.69 inference(rewrite,[status(thm)],[])).
% 0.47/0.69 tff(852,plain,
% 0.47/0.69 (((multiply(sk_c9, sk_c3) = sk_c8) | (inverse(sk_c6) = sk_c9)) <=> ((inverse(sk_c6) = sk_c9) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.47/0.69 inference(rewrite,[status(thm)],[])).
% 0.47/0.69 tff(853,axiom,((multiply(sk_c9, sk_c3) = sk_c8) | (inverse(sk_c6) = sk_c9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_28')).
% 0.47/0.69 tff(854,plain,
% 0.47/0.69 ((inverse(sk_c6) = sk_c9) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.69 inference(modus_ponens,[status(thm)],[853, 852])).
% 0.47/0.69 tff(855,plain,
% 0.47/0.69 ((inverse(sk_c6) = sk_c9) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.47/0.69 inference(modus_ponens,[status(thm)],[854, 851])).
% 0.47/0.69 tff(856,plain,
% 0.47/0.69 (inverse(sk_c6) = sk_c9),
% 0.47/0.69 inference(unit_resolution,[status(thm)],[855, 830])).
% 0.53/0.69 tff(857,plain,
% 0.53/0.69 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c9, sk_c3) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.53/0.69 inference(rewrite,[status(thm)],[])).
% 0.53/0.69 tff(858,plain,
% 0.53/0.69 (((multiply(sk_c9, sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c9, sk_c3) = sk_c8))),
% 0.53/0.69 inference(rewrite,[status(thm)],[])).
% 0.53/0.69 tff(859,axiom,((multiply(sk_c9, sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_24')).
% 0.53/0.69 tff(860,plain,
% 0.53/0.69 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.53/0.69 inference(modus_ponens,[status(thm)],[859, 858])).
% 0.53/0.69 tff(861,plain,
% 0.53/0.69 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c9, sk_c3) = sk_c8)),
% 0.53/0.69 inference(modus_ponens,[status(thm)],[860, 857])).
% 0.53/0.69 tff(862,plain,
% 0.53/0.69 (inverse(sk_c4) = sk_c8),
% 0.53/0.69 inference(unit_resolution,[status(thm)],[861, 830])).
% 0.53/0.69 tff(863,plain,
% 0.53/0.69 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)))),
% 0.53/0.69 inference(rewrite,[status(thm)],[])).
% 0.53/0.69 tff(864,plain,
% 0.53/0.69 (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)))),
% 0.53/0.69 inference(rewrite,[status(thm)],[])).
% 0.53/0.69 tff(865,plain,
% 0.53/0.69 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9))))),
% 0.53/0.69 inference(monotonicity,[status(thm)],[864])).
% 0.53/0.69 tff(866,plain,
% 0.53/0.69 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)))),
% 0.53/0.69 inference(transitivity,[status(thm)],[865, 863])).
% 0.53/0.69 tff(867,plain,
% 0.53/0.69 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)))),
% 0.53/0.69 inference(quant_inst,[status(thm)],[])).
% 0.53/0.69 tff(868,plain,
% 0.53/0.69 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9))),
% 0.53/0.69 inference(modus_ponens,[status(thm)],[867, 866])).
% 0.53/0.69 tff(869,plain,
% 0.53/0.69 ((~(multiply(sk_c9, multiply(sk_c6, sk_c9)) = sk_c8)) | (~(inverse(sk_c7) = sk_c8))),
% 0.53/0.69 inference(unit_resolution,[status(thm)],[868, 229, 431, 582, 862, 836, 856, 367, 850])).
% 0.53/0.69 tff(870,plain,
% 0.53/0.69 ($false),
% 0.53/0.69 inference(unit_resolution,[status(thm)],[869, 847, 829])).
% 0.53/0.69 tff(871,plain,(multiply(sk_c9, sk_c3) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 0.53/0.69 tff(872,plain,
% 0.53/0.69 (sk_c8 = multiply(sk_c9, sk_c3)),
% 0.53/0.69 inference(symmetry,[status(thm)],[871])).
% 0.53/0.69 tff(873,plain,
% 0.53/0.69 (sk_c7 = sk_c3),
% 0.53/0.69 inference(transitivity,[status(thm)],[473, 686, 110, 498, 11, 872, 826, 825])).
% 0.53/0.69 tff(874,plain,
% 0.53/0.69 (multiply(sk_c7, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4))),
% 0.53/0.69 inference(monotonicity,[status(thm)],[873])).
% 0.53/0.69 tff(875,plain,
% 0.53/0.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4) = multiply(sk_c7, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)))),
% 0.53/0.69 inference(quant_inst,[status(thm)],[])).
% 0.53/0.69 tff(876,plain,
% 0.53/0.69 (multiply(multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4) = multiply(sk_c7, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4))),
% 0.53/0.69 inference(unit_resolution,[status(thm)],[875, 99])).
% 0.53/0.69 tff(877,plain,
% 0.53/0.69 (multiply(sk_c8, multiply(sk_c9, sk_c8)) = multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.53/0.69 inference(symmetry,[status(thm)],[749])).
% 0.53/0.69 tff(878,plain,
% 0.53/0.69 (identity = multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.53/0.69 inference(transitivity,[status(thm)],[147, 607, 604, 877])).
% 0.53/0.69 tff(879,plain,
% 0.53/0.69 (multiply(identity, sk_c4) = multiply(multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4)),
% 0.53/0.69 inference(monotonicity,[status(thm)],[878])).
% 0.53/0.69 tff(880,plain,
% 0.53/0.69 (sk_c4 = multiply(sk_c2, multiply(sk_c1, sk_c4))),
% 0.53/0.69 inference(transitivity,[status(thm)],[714, 879, 876, 874, 823, 787, 784, 767, 734, 732, 718])).
% 0.53/0.69 tff(881,plain,
% 0.53/0.69 (multiply(multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4) = multiply(identity, sk_c4)),
% 0.53/0.69 inference(symmetry,[status(thm)],[879])).
% 0.53/0.69 tff(882,plain,
% 0.53/0.69 (multiply(sk_c7, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)) = multiply(multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, sk_c8))), sk_c4)),
% 0.53/0.69 inference(symmetry,[status(thm)],[876])).
% 0.53/0.69 tff(883,plain,
% 0.53/0.69 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4)) = multiply(sk_c7, multiply(multiply(sk_c1, multiply(sk_c8, sk_c8)), sk_c4))),
% 0.53/0.69 inference(symmetry,[status(thm)],[874])).
% 0.53/0.69 tff(884,plain,
% 0.53/0.69 (multiply(sk_c2, multiply(sk_c5, sk_c4)) = multiply(multiply(sk_c2, sk_c5), sk_c4)),
% 0.53/0.69 inference(symmetry,[status(thm)],[734])).
% 0.53/0.69 tff(885,plain,
% 0.53/0.69 (multiply(sk_c2, multiply(sk_c1, sk_c4)) = sk_c4),
% 0.53/0.69 inference(transitivity,[status(thm)],[717, 731, 884, 766, 783, 786, 822, 883, 882, 881, 713])).
% 0.53/0.69 tff(886,plain,
% 0.53/0.69 (inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = inverse(sk_c4)),
% 0.53/0.69 inference(monotonicity,[status(thm)],[885])).
% 0.53/0.69 tff(887,plain,
% 0.53/0.69 (inverse(sk_c4) = inverse(multiply(sk_c2, multiply(sk_c1, sk_c4)))),
% 0.53/0.69 inference(symmetry,[status(thm)],[886])).
% 0.53/0.69 tff(888,plain,
% 0.53/0.69 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.53/0.69 inference(symmetry,[status(thm)],[498])).
% 0.53/0.69 tff(889,plain,
% 0.53/0.69 (multiply(identity, sk_c3) = multiply(sk_c9, sk_c3)),
% 0.53/0.69 inference(symmetry,[status(thm)],[826])).
% 0.53/0.69 tff(890,plain,
% 0.53/0.69 (sk_c3 = multiply(identity, sk_c3)),
% 0.53/0.69 inference(symmetry,[status(thm)],[825])).
% 0.53/0.69 tff(891,plain,
% 0.53/0.69 (sk_c9 = multiply(sk_c8, sk_c8)),
% 0.53/0.69 inference(transitivity,[status(thm)],[287, 695, 698, 702])).
% 0.53/0.70 tff(892,assumption,(~(inverse(sk_c4) = sk_c8)), introduced(assumption)).
% 0.53/0.70 tff(893,plain,
% 0.53/0.70 (((inverse(sk_c2) = sk_c9) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c2) = sk_c9) | (inverse(sk_c4) = sk_c8))),
% 0.53/0.70 inference(rewrite,[status(thm)],[])).
% 0.53/0.70 tff(894,axiom,((inverse(sk_c2) = sk_c9) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_38')).
% 0.53/0.70 tff(895,plain,
% 0.53/0.70 ((inverse(sk_c2) = sk_c9) | (inverse(sk_c4) = sk_c8)),
% 0.53/0.70 inference(modus_ponens,[status(thm)],[894, 893])).
% 0.53/0.70 tff(896,plain,
% 0.53/0.70 (inverse(sk_c2) = sk_c9),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[895, 892])).
% 0.53/0.70 tff(897,plain,
% 0.53/0.70 (sk_c9 = inverse(sk_c2)),
% 0.53/0.70 inference(symmetry,[status(thm)],[896])).
% 0.53/0.70 tff(898,plain,
% 0.53/0.70 (identity = inverse(sk_c2)),
% 0.53/0.70 inference(transitivity,[status(thm)],[147, 607, 604, 693, 595, 592, 590, 587, 703, 699, 696, 9, 897])).
% 0.53/0.70 tff(899,plain,
% 0.53/0.70 (multiply(identity, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[898])).
% 0.53/0.70 tff(900,plain,
% 0.53/0.70 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 0.53/0.70 inference(quant_inst,[status(thm)],[])).
% 0.53/0.70 tff(901,plain,
% 0.53/0.70 (multiply(identity, sk_c2) = sk_c2),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[900, 7])).
% 0.53/0.70 tff(902,plain,
% 0.53/0.70 (sk_c2 = multiply(identity, sk_c2)),
% 0.53/0.70 inference(symmetry,[status(thm)],[901])).
% 0.53/0.70 tff(903,plain,
% 0.53/0.70 (sk_c2 = identity),
% 0.53/0.70 inference(transitivity,[status(thm)],[902, 899, 264])).
% 0.53/0.70 tff(904,plain,
% 0.53/0.70 (multiply(sk_c2, sk_c9) = multiply(identity, multiply(sk_c8, sk_c8))),
% 0.53/0.70 inference(monotonicity,[status(thm)],[903, 891])).
% 0.53/0.70 tff(905,plain,
% 0.53/0.70 (multiply(identity, multiply(sk_c8, sk_c8)) = multiply(sk_c2, sk_c9)),
% 0.53/0.70 inference(symmetry,[status(thm)],[904])).
% 0.53/0.70 tff(906,plain,
% 0.53/0.70 (multiply(sk_c7, sk_c8) = sk_c7),
% 0.53/0.70 inference(transitivity,[status(thm)],[812, 607, 604, 693, 595, 592, 905, 389, 890, 889, 871, 120, 888, 109, 811, 229])).
% 0.53/0.70 tff(907,plain,
% 0.53/0.70 (multiply(sk_c2, sk_c9) = sk_c8),
% 0.53/0.70 inference(transitivity,[status(thm)],[389, 890, 889, 871])).
% 0.53/0.70 tff(908,plain,
% 0.53/0.70 (sk_c9 = multiply(sk_c8, sk_c5)),
% 0.53/0.70 inference(transitivity,[status(thm)],[287, 695, 698, 702, 586, 589, 591, 594, 692, 805, 606, 146, 85, 499])).
% 0.53/0.70 tff(909,plain,
% 0.53/0.70 (multiply(sk_c9, multiply(sk_c2, sk_c9)) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[908, 907])).
% 0.53/0.70 tff(910,plain,
% 0.53/0.70 (multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8),
% 0.53/0.70 inference(transitivity,[status(thm)],[909, 498, 11])).
% 0.53/0.70 tff(911,plain,
% 0.53/0.70 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 0.53/0.70 inference(rewrite,[status(thm)],[])).
% 0.53/0.70 tff(912,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 0.53/0.70 tff(913,plain,
% 0.53/0.70 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 0.53/0.70 inference(modus_ponens,[status(thm)],[912, 911])).
% 0.53/0.70 tff(914,plain,
% 0.53/0.70 (inverse(sk_c1) = sk_c8),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[913, 892])).
% 0.53/0.70 tff(915,plain,
% 0.53/0.70 (multiply(sk_c9, sk_c1) = multiply(identity, sk_c1)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[806])).
% 0.53/0.70 tff(916,plain,
% 0.53/0.70 (multiply(sk_c9, sk_c1) = sk_c1),
% 0.53/0.70 inference(transitivity,[status(thm)],[915, 255])).
% 0.53/0.70 tff(917,plain,
% 0.53/0.70 (inverse(multiply(sk_c9, sk_c1)) = inverse(sk_c1)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[916])).
% 0.53/0.70 tff(918,plain,
% 0.53/0.70 (inverse(multiply(sk_c9, sk_c1)) = sk_c8),
% 0.53/0.70 inference(transitivity,[status(thm)],[917, 914])).
% 0.53/0.70 tff(919,plain,
% 0.53/0.70 (multiply(sk_c5, multiply(sk_c7, sk_c9)) = multiply(sk_c5, sk_c8)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[701])).
% 0.53/0.70 tff(920,plain,
% 0.53/0.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c9) = multiply(sk_c5, multiply(sk_c7, sk_c9)))),
% 0.53/0.70 inference(quant_inst,[status(thm)],[])).
% 0.53/0.70 tff(921,plain,
% 0.53/0.70 (multiply(multiply(sk_c5, sk_c7), sk_c9) = multiply(sk_c5, multiply(sk_c7, sk_c9))),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[920, 99])).
% 0.53/0.70 tff(922,plain,
% 0.53/0.70 (multiply(sk_c9, sk_c9) = multiply(multiply(sk_c5, sk_c7), sk_c9)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[790])).
% 0.53/0.70 tff(923,plain,
% 0.53/0.70 (multiply(sk_c1, sk_c7) = multiply(sk_c1, sk_c8)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[687])).
% 0.53/0.70 tff(924,plain,
% 0.53/0.70 (multiply(sk_c1, sk_c7) = sk_c9),
% 0.53/0.70 inference(transitivity,[status(thm)],[923, 633])).
% 0.53/0.70 tff(925,plain,
% 0.53/0.70 (multiply(sk_c9, multiply(sk_c1, sk_c7)) = multiply(sk_c9, sk_c9)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[924])).
% 0.53/0.70 tff(926,plain,
% 0.53/0.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c1), sk_c7) = multiply(sk_c9, multiply(sk_c1, sk_c7)))),
% 0.53/0.70 inference(quant_inst,[status(thm)],[])).
% 0.53/0.70 tff(927,plain,
% 0.53/0.70 (multiply(multiply(sk_c9, sk_c1), sk_c7) = multiply(sk_c9, multiply(sk_c1, sk_c7))),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[926, 99])).
% 0.53/0.70 tff(928,plain,
% 0.53/0.70 (sk_c8 = sk_c7),
% 0.53/0.70 inference(transitivity,[status(thm)],[120, 888, 109, 811, 229])).
% 0.53/0.70 tff(929,plain,
% 0.53/0.70 (multiply(multiply(sk_c9, sk_c1), sk_c8) = multiply(multiply(sk_c9, sk_c1), sk_c7)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[928])).
% 0.53/0.70 tff(930,plain,
% 0.53/0.70 (multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9),
% 0.53/0.70 inference(transitivity,[status(thm)],[929, 927, 925, 922, 921, 919, 684])).
% 0.53/0.70 tff(931,plain,
% 0.53/0.70 (inverse(sk_c7) = inverse(sk_c8)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[687])).
% 0.53/0.70 tff(932,plain,
% 0.53/0.70 (inverse(sk_c7) = sk_c8),
% 0.53/0.70 inference(transitivity,[status(thm)],[931, 431, 473, 686, 110, 498, 11])).
% 0.53/0.70 tff(933,plain,
% 0.53/0.70 (multiply(sk_c2, sk_c9) = sk_c7),
% 0.53/0.70 inference(transitivity,[status(thm)],[389, 890, 889, 871, 120, 888, 109, 811, 229])).
% 0.53/0.70 tff(934,plain,
% 0.53/0.70 (multiply(sk_c7, sk_c8) = sk_c9),
% 0.53/0.70 inference(transitivity,[status(thm)],[812, 607, 604, 693, 595, 592, 590, 587, 703, 699, 696, 9])).
% 0.53/0.70 tff(935,plain,
% 0.53/0.70 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8)) | (~(multiply(sk_c2, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9)) | (~(inverse(multiply(sk_c9, sk_c1)) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8)) | (~(multiply(sk_c2, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9)) | (~(inverse(multiply(sk_c9, sk_c1)) = sk_c8)))),
% 0.53/0.70 inference(rewrite,[status(thm)],[])).
% 0.53/0.70 tff(936,plain,
% 0.53/0.70 (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c2, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8)) | (~(inverse(multiply(sk_c9, sk_c1)) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8)) | (~(multiply(sk_c2, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9)) | (~(inverse(multiply(sk_c9, sk_c1)) = sk_c8)))),
% 0.53/0.70 inference(rewrite,[status(thm)],[])).
% 0.53/0.70 tff(937,plain,
% 0.53/0.70 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c2, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8)) | (~(inverse(multiply(sk_c9, sk_c1)) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8)) | (~(multiply(sk_c2, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9)) | (~(inverse(multiply(sk_c9, sk_c1)) = sk_c8))))),
% 0.53/0.70 inference(monotonicity,[status(thm)],[936])).
% 0.53/0.70 tff(938,plain,
% 0.53/0.70 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c2, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8)) | (~(inverse(multiply(sk_c9, sk_c1)) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8)) | (~(multiply(sk_c2, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9)) | (~(inverse(multiply(sk_c9, sk_c1)) = sk_c8)))),
% 0.53/0.70 inference(transitivity,[status(thm)],[937, 935])).
% 0.53/0.70 tff(939,plain,
% 0.53/0.70 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c2, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8)) | (~(inverse(multiply(sk_c9, sk_c1)) = sk_c8)))),
% 0.53/0.70 inference(quant_inst,[status(thm)],[])).
% 0.53/0.70 tff(940,plain,
% 0.53/0.70 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8)) | (~(multiply(sk_c2, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9)) | (~(inverse(multiply(sk_c9, sk_c1)) = sk_c8))),
% 0.53/0.70 inference(modus_ponens,[status(thm)],[939, 938])).
% 0.53/0.70 tff(941,plain,
% 0.53/0.70 ((~(multiply(sk_c9, multiply(sk_c2, sk_c9)) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(multiply(sk_c9, sk_c1), sk_c8) = sk_c9)) | (~(inverse(multiply(sk_c9, sk_c1)) = sk_c8))),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[940, 229, 431, 896, 367, 934, 933])).
% 0.53/0.70 tff(942,plain,
% 0.53/0.70 (~(multiply(sk_c7, sk_c8) = sk_c7)),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[941, 932, 930, 918, 910])).
% 0.53/0.70 tff(943,plain,
% 0.53/0.70 ($false),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[942, 906])).
% 0.53/0.70 tff(944,plain,(inverse(sk_c4) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 0.53/0.70 tff(945,plain,
% 0.53/0.70 (sk_c8 = inverse(sk_c4)),
% 0.53/0.70 inference(symmetry,[status(thm)],[944])).
% 0.53/0.70 tff(946,plain,
% 0.53/0.70 (sk_c7 = inverse(multiply(sk_c2, multiply(sk_c1, sk_c4)))),
% 0.53/0.70 inference(transitivity,[status(thm)],[473, 686, 110, 498, 11, 945, 887])).
% 0.53/0.70 tff(947,plain,
% 0.53/0.70 (multiply(sk_c7, sk_c4) = multiply(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))), multiply(sk_c2, multiply(sk_c1, sk_c4)))),
% 0.53/0.70 inference(monotonicity,[status(thm)],[946, 880])).
% 0.53/0.70 tff(948,plain,
% 0.53/0.70 (sk_c3 = sk_c7),
% 0.53/0.70 inference(transitivity,[status(thm)],[890, 889, 871, 120, 888, 109, 811, 229])).
% 0.53/0.70 tff(949,plain,
% 0.53/0.70 (multiply(sk_c3, sk_c4) = multiply(sk_c7, sk_c4)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[948])).
% 0.53/0.70 tff(950,plain,
% 0.53/0.70 (multiply(sk_c3, sk_c4) = identity),
% 0.53/0.70 inference(transitivity,[status(thm)],[949, 947, 706])).
% 0.53/0.70 tff(951,plain,
% 0.53/0.70 (multiply(multiply(sk_c3, sk_c4), identity) = multiply(identity, multiply(sk_c8, sk_c8))),
% 0.53/0.70 inference(monotonicity,[status(thm)],[950, 704])).
% 0.53/0.70 tff(952,plain,
% 0.53/0.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), identity) = multiply(sk_c3, multiply(sk_c4, identity)))),
% 0.53/0.70 inference(quant_inst,[status(thm)],[])).
% 0.53/0.70 tff(953,plain,
% 0.53/0.70 (multiply(multiply(sk_c3, sk_c4), identity) = multiply(sk_c3, multiply(sk_c4, identity))),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[952, 99])).
% 0.53/0.70 tff(954,plain,
% 0.53/0.70 (multiply(sk_c3, multiply(sk_c4, identity)) = multiply(multiply(sk_c3, sk_c4), identity)),
% 0.53/0.70 inference(symmetry,[status(thm)],[953])).
% 0.53/0.70 tff(955,plain,
% 0.53/0.70 (multiply(sk_c4, identity) = multiply(sk_c4, multiply(sk_c8, sk_c8))),
% 0.53/0.70 inference(monotonicity,[status(thm)],[704])).
% 0.53/0.70 tff(956,plain,
% 0.53/0.70 (multiply(sk_c4, multiply(sk_c8, sk_c8)) = multiply(sk_c4, identity)),
% 0.53/0.70 inference(symmetry,[status(thm)],[955])).
% 0.53/0.70 tff(957,plain,
% 0.53/0.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(sk_c4, multiply(sk_c8, sk_c8)))),
% 0.53/0.70 inference(quant_inst,[status(thm)],[])).
% 0.53/0.70 tff(958,plain,
% 0.53/0.70 (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(sk_c4, multiply(sk_c8, sk_c8))),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[957, 99])).
% 0.53/0.70 tff(959,plain,
% 0.53/0.70 (multiply(sk_c4, sk_c8) = inverse(sk_c8)),
% 0.53/0.70 inference(transitivity,[status(thm)],[582, 432])).
% 0.53/0.70 tff(960,plain,
% 0.53/0.70 (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[959])).
% 0.53/0.70 tff(961,plain,
% 0.53/0.70 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c4, sk_c8), sk_c8)),
% 0.53/0.70 inference(symmetry,[status(thm)],[960])).
% 0.53/0.70 tff(962,plain,
% 0.53/0.70 (identity = multiply(sk_c4, identity)),
% 0.53/0.70 inference(transitivity,[status(thm)],[147, 961, 958, 956])).
% 0.53/0.70 tff(963,plain,
% 0.53/0.70 (multiply(sk_c2, multiply(sk_c1, sk_c8)) = multiply(sk_c2, sk_c9)),
% 0.53/0.70 inference(symmetry,[status(thm)],[773])).
% 0.53/0.70 tff(964,plain,
% 0.53/0.70 (multiply(multiply(sk_c2, sk_c1), sk_c7) = sk_c3),
% 0.53/0.70 inference(transitivity,[status(thm)],[768, 771, 963, 389])).
% 0.53/0.70 tff(965,plain,
% 0.53/0.70 (multiply(multiply(multiply(sk_c2, sk_c1), sk_c7), identity) = multiply(sk_c3, multiply(sk_c4, identity))),
% 0.53/0.70 inference(monotonicity,[status(thm)],[964, 962])).
% 0.53/0.70 tff(966,plain,
% 0.53/0.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c1), sk_c7), identity) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c7, identity)))),
% 0.53/0.70 inference(quant_inst,[status(thm)],[])).
% 0.53/0.70 tff(967,plain,
% 0.53/0.70 (multiply(multiply(multiply(sk_c2, sk_c1), sk_c7), identity) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c7, identity))),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[966, 99])).
% 0.53/0.70 tff(968,plain,
% 0.53/0.70 (multiply(multiply(sk_c2, sk_c1), multiply(sk_c7, identity)) = multiply(multiply(multiply(sk_c2, sk_c1), sk_c7), identity)),
% 0.53/0.70 inference(symmetry,[status(thm)],[967])).
% 0.53/0.70 tff(969,plain,
% 0.53/0.70 (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 0.53/0.70 inference(monotonicity,[status(thm)],[704])).
% 0.53/0.70 tff(970,plain,
% 0.53/0.70 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(sk_c7, identity)),
% 0.53/0.70 inference(symmetry,[status(thm)],[969])).
% 0.53/0.70 tff(971,plain,
% 0.53/0.70 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 0.53/0.70 inference(symmetry,[status(thm)],[814])).
% 0.53/0.70 tff(972,plain,
% 0.53/0.70 (sk_c8 = multiply(sk_c7, identity)),
% 0.53/0.70 inference(transitivity,[status(thm)],[120, 888, 971, 816, 970])).
% 0.53/0.70 tff(973,plain,
% 0.53/0.70 (multiply(multiply(sk_c2, sk_c1), sk_c8) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c7, identity))),
% 0.53/0.70 inference(monotonicity,[status(thm)],[972])).
% 0.53/0.70 tff(974,plain,
% 0.53/0.70 (inverse(sk_c7) = sk_c9),
% 0.53/0.70 inference(transitivity,[status(thm)],[931, 431, 473, 686, 110, 498, 11, 872, 826, 825, 774, 773, 772, 973, 968, 965, 954, 951, 590, 587, 703, 699, 696, 9])).
% 0.53/0.70 tff(975,plain,
% 0.53/0.70 (multiply(sk_c4, sk_c7) = multiply(sk_c4, sk_c8)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[687])).
% 0.53/0.70 tff(976,plain,
% 0.53/0.70 (multiply(sk_c4, sk_c7) = sk_c8),
% 0.53/0.70 inference(transitivity,[status(thm)],[975, 582, 473, 686, 110, 498, 11])).
% 0.53/0.70 tff(977,plain,
% 0.53/0.70 (multiply(sk_c1, multiply(sk_c4, sk_c7)) = multiply(sk_c1, sk_c8)),
% 0.53/0.70 inference(monotonicity,[status(thm)],[976])).
% 0.53/0.70 tff(978,plain,
% 0.53/0.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c4), sk_c7) = multiply(sk_c1, multiply(sk_c4, sk_c7)))),
% 0.53/0.70 inference(quant_inst,[status(thm)],[])).
% 0.53/0.70 tff(979,plain,
% 0.53/0.70 (multiply(multiply(sk_c1, sk_c4), sk_c7) = multiply(sk_c1, multiply(sk_c4, sk_c7))),
% 0.53/0.70 inference(unit_resolution,[status(thm)],[978, 99])).
% 0.53/0.70 tff(980,plain,
% 0.53/0.70 (multiply(multiply(sk_c1, sk_c4), sk_c7) = sk_c9),
% 0.53/0.70 inference(transitivity,[status(thm)],[979, 977, 633])).
% 0.53/0.71 tff(981,plain,
% 0.53/0.71 (multiply(sk_c2, multiply(multiply(sk_c1, sk_c4), sk_c7)) = multiply(sk_c2, sk_c9)),
% 0.53/0.71 inference(monotonicity,[status(thm)],[980])).
% 0.53/0.71 tff(982,plain,
% 0.53/0.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c7) = multiply(sk_c2, multiply(multiply(sk_c1, sk_c4), sk_c7)))),
% 0.53/0.71 inference(quant_inst,[status(thm)],[])).
% 0.53/0.71 tff(983,plain,
% 0.53/0.71 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c7) = multiply(sk_c2, multiply(multiply(sk_c1, sk_c4), sk_c7))),
% 0.53/0.71 inference(unit_resolution,[status(thm)],[982, 99])).
% 0.53/0.71 tff(984,plain,
% 0.53/0.71 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c7)),
% 0.53/0.71 inference(monotonicity,[status(thm)],[928])).
% 0.53/0.71 tff(985,plain,
% 0.53/0.71 (multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7),
% 0.53/0.71 inference(transitivity,[status(thm)],[984, 983, 981, 389, 890, 889, 871, 120, 888, 109, 811, 229])).
% 0.53/0.71 tff(986,plain,
% 0.53/0.71 (inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8),
% 0.53/0.71 inference(transitivity,[status(thm)],[886, 944])).
% 0.53/0.71 tff(987,plain,
% 0.53/0.71 (multiply(sk_c1, multiply(sk_c8, sk_c8)) = multiply(identity, multiply(sk_c1, multiply(sk_c8, sk_c8)))),
% 0.53/0.71 inference(symmetry,[status(thm)],[740])).
% 0.53/0.71 tff(988,plain,
% 0.53/0.71 (multiply(sk_c8, sk_c9) = sk_c8),
% 0.53/0.71 inference(transitivity,[status(thm)],[686, 110, 498, 11])).
% 0.53/0.71 tff(989,plain,
% 0.53/0.71 (multiply(sk_c9, multiply(sk_c8, sk_c9)) = multiply(sk_c9, sk_c8)),
% 0.53/0.71 inference(monotonicity,[status(thm)],[988])).
% 0.53/0.71 tff(990,plain,
% 0.53/0.71 (multiply(sk_c9, multiply(sk_c7, sk_c9)) = multiply(sk_c9, multiply(sk_c8, sk_c9))),
% 0.53/0.71 inference(monotonicity,[status(thm)],[700])).
% 0.53/0.71 tff(991,plain,
% 0.53/0.71 (multiply(sk_c9, multiply(sk_c7, sk_c9)) = sk_c8),
% 0.53/0.71 inference(transitivity,[status(thm)],[990, 989, 725, 724, 987, 741, 744, 751, 817, 814, 498, 11])).
% 0.53/0.71 tff(992,plain,
% 0.53/0.71 (multiply(sk_c7, sk_c9) = sk_c7),
% 0.53/0.71 inference(transitivity,[status(thm)],[700, 229])).
% 0.53/0.71 tff(993,plain,
% 0.53/0.71 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c9) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c7, sk_c9)) = sk_c8)) | (~(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8)) | (~(multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c9) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c7, sk_c9)) = sk_c8)) | (~(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8)) | (~(multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7)))),
% 0.53/0.71 inference(rewrite,[status(thm)],[])).
% 0.53/0.71 tff(994,plain,
% 0.53/0.71 (((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8)) | (~(multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c7, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c7, sk_c9)) = sk_c8)) | (~(inverse(sk_c7) = sk_c8))) <=> ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c9) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c7, sk_c9)) = sk_c8)) | (~(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8)) | (~(multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7)))),
% 0.53/0.71 inference(rewrite,[status(thm)],[])).
% 0.53/0.71 tff(995,plain,
% 0.53/0.71 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8)) | (~(multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c7, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c7, sk_c9)) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c9) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c7, sk_c9)) = sk_c8)) | (~(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8)) | (~(multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7))))),
% 0.53/0.71 inference(monotonicity,[status(thm)],[994])).
% 0.53/0.71 tff(996,plain,
% 0.53/0.71 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8)) | (~(multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c7, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c7, sk_c9)) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c9) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c7, sk_c9)) = sk_c8)) | (~(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8)) | (~(multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7)))),
% 0.53/0.71 inference(transitivity,[status(thm)],[995, 993])).
% 0.53/0.71 tff(997,plain,
% 0.53/0.71 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8)) | (~(multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c7, sk_c9) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c7, sk_c9)) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)))),
% 0.53/0.71 inference(quant_inst,[status(thm)],[])).
% 0.53/0.71 tff(998,plain,
% 0.53/0.71 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(multiply(X4, sk_c8) = sk_c9)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X6) = sk_c9)) | (~(multiply(sk_c9, multiply(X6, sk_c9)) = sk_c8)) | (~(inverse(X4) = sk_c8)))) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c9)) | (~(multiply(sk_c7, sk_c8) = sk_c9)) | (~(multiply(sk_c7, sk_c9) = sk_c7)) | (~(multiply(sk_c9, multiply(sk_c7, sk_c9)) = sk_c8)) | (~(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8)) | (~(multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7))),
% 0.53/0.71 inference(modus_ponens,[status(thm)],[997, 996])).
% 0.53/0.71 tff(999,plain,
% 0.53/0.71 ((~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c9)) | (~(inverse(multiply(sk_c2, multiply(sk_c1, sk_c4))) = sk_c8)) | (~(multiply(multiply(sk_c2, multiply(sk_c1, sk_c4)), sk_c8) = sk_c7))),
% 0.53/0.71 inference(unit_resolution,[status(thm)],[998, 229, 431, 367, 934, 992, 991])).
% 0.53/0.71 tff(1000,plain,
% 0.53/0.71 (~(inverse(sk_c7) = sk_c9)),
% 0.53/0.71 inference(unit_resolution,[status(thm)],[999, 932, 986, 985])).
% 0.53/0.71 tff(1001,plain,
% 0.53/0.71 ($false),
% 0.53/0.71 inference(unit_resolution,[status(thm)],[1000, 974])).
% 0.53/0.71 % SZS output end Proof
% 0.53/0.71 % E exiting
%------------------------------------------------------------------------------