%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP212-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:07:28 AM UTC 2025
% Result : Unsatisfiable 19.34s 19.51s
% Output : Proof 19.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : GRP212-1 : TPTP v9.0.0. Released v2.5.0.
% 0.04/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 19 15:48:35 EDT 2025
% 0.11/0.32 % CPUTime :
% 19.34/19.51 % SZS status Unsatisfiable
% 19.34/19.51 % SZS output start Proof
% 19.34/19.51 tff(sk_c8_type, type, (
% 19.34/19.51 sk_c8: $i)).
% 19.34/19.51 tff(inverse_type, type, (
% 19.34/19.51 inverse: $i > $i)).
% 19.34/19.51 tff(multiply_type, type, (
% 19.34/19.51 multiply: ( $i * $i ) > $i)).
% 19.34/19.51 tff(sk_c7_type, type, (
% 19.34/19.51 sk_c7: $i)).
% 19.34/19.51 tff(sk_c2_type, type, (
% 19.34/19.51 sk_c2: $i)).
% 19.34/19.51 tff(sk_c4_type, type, (
% 19.34/19.51 sk_c4: $i)).
% 19.34/19.51 tff(sk_c6_type, type, (
% 19.34/19.51 sk_c6: $i)).
% 19.34/19.51 tff(sk_c3_type, type, (
% 19.34/19.51 sk_c3: $i)).
% 19.34/19.51 tff(sk_c1_type, type, (
% 19.34/19.51 sk_c1: $i)).
% 19.34/19.51 tff(identity_type, type, (
% 19.34/19.51 identity: $i)).
% 19.34/19.51 tff(sk_c5_type, type, (
% 19.34/19.51 sk_c5: $i)).
% 19.34/19.51 tff(1,assumption,(~(multiply(sk_c2, sk_c7) = sk_c8)), introduced(assumption)).
% 19.34/19.51 tff(2,plain,
% 19.34/19.51 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(3,plain,
% 19.34/19.51 (((multiply(sk_c2, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(4,axiom,((multiply(sk_c2, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_14')).
% 19.34/19.51 tff(5,plain,
% 19.34/19.51 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[4, 3])).
% 19.34/19.51 tff(6,plain,
% 19.34/19.51 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[5, 2])).
% 19.34/19.51 tff(7,plain,
% 19.34/19.51 (inverse(sk_c4) = sk_c8),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[6, 1])).
% 19.34/19.51 tff(8,plain,
% 19.34/19.51 (multiply(inverse(sk_c4), sk_c7) = multiply(sk_c8, sk_c7)),
% 19.34/19.51 inference(monotonicity,[status(thm)],[7])).
% 19.34/19.51 tff(9,plain,
% 19.34/19.51 ((multiply(inverse(sk_c4), sk_c7) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 19.34/19.51 inference(monotonicity,[status(thm)],[8])).
% 19.34/19.51 tff(10,plain,
% 19.34/19.51 ((~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) <=> (~(multiply(sk_c8, sk_c7) = sk_c8))),
% 19.34/19.51 inference(monotonicity,[status(thm)],[9])).
% 19.34/19.51 tff(11,plain,
% 19.34/19.51 (((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(12,axiom,((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_15')).
% 19.34/19.51 tff(13,plain,
% 19.34/19.51 ((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[12, 11])).
% 19.34/19.51 tff(14,plain,
% 19.34/19.51 (multiply(sk_c4, sk_c7) = sk_c8),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[13, 1])).
% 19.34/19.51 tff(15,assumption,(~(multiply(sk_c8, sk_c6) = sk_c7)), introduced(assumption)).
% 19.34/19.51 tff(16,plain,
% 19.34/19.51 (((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(17,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_28')).
% 19.34/19.51 tff(18,plain,
% 19.34/19.51 ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[17, 16])).
% 19.34/19.51 tff(19,plain,
% 19.34/19.51 (multiply(sk_c3, sk_c7) = sk_c8),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[18, 15])).
% 19.34/19.51 tff(20,plain,
% 19.34/19.51 (((inverse(sk_c1) = sk_c2) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c2) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(21,axiom,((inverse(sk_c1) = sk_c2) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_10')).
% 19.34/19.51 tff(22,plain,
% 19.34/19.51 ((inverse(sk_c1) = sk_c2) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[21, 20])).
% 19.34/19.51 tff(23,plain,
% 19.34/19.51 (inverse(sk_c1) = sk_c2),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[22, 15])).
% 19.34/19.51 tff(24,plain,
% 19.34/19.51 (multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)) = multiply(sk_c2, sk_c8)),
% 19.34/19.51 inference(monotonicity,[status(thm)],[23, 19])).
% 19.34/19.51 tff(25,plain,
% 19.34/19.51 (multiply(sk_c2, sk_c8) = multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))),
% 19.34/19.51 inference(symmetry,[status(thm)],[24])).
% 19.34/19.51 tff(26,plain,
% 19.34/19.51 (multiply(sk_c1, inverse(sk_c1)) = multiply(sk_c1, sk_c2)),
% 19.34/19.51 inference(monotonicity,[status(thm)],[23])).
% 19.34/19.51 tff(27,plain,
% 19.34/19.51 (multiply(sk_c1, sk_c2) = multiply(sk_c1, inverse(sk_c1))),
% 19.34/19.51 inference(symmetry,[status(thm)],[26])).
% 19.34/19.51 tff(28,plain,
% 19.34/19.51 (((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(29,axiom,((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_4')).
% 19.34/19.51 tff(30,plain,
% 19.34/19.51 ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[29, 28])).
% 19.34/19.51 tff(31,plain,
% 19.34/19.51 (multiply(sk_c1, sk_c2) = sk_c8),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[30, 15])).
% 19.34/19.51 tff(32,plain,
% 19.34/19.51 (sk_c8 = multiply(sk_c1, sk_c2)),
% 19.34/19.51 inference(symmetry,[status(thm)],[31])).
% 19.34/19.51 tff(33,plain,
% 19.34/19.51 (sk_c8 = multiply(sk_c1, inverse(sk_c1))),
% 19.34/19.51 inference(transitivity,[status(thm)],[32, 27])).
% 19.34/19.51 tff(34,plain,
% 19.34/19.51 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)))),
% 19.34/19.51 inference(monotonicity,[status(thm)],[33, 25])).
% 19.34/19.51 tff(35,plain,
% 19.34/19.51 (multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 19.34/19.51 inference(symmetry,[status(thm)],[34])).
% 19.34/19.51 tff(36,plain,
% 19.34/19.51 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 19.34/19.51 inference(bind,[status(th)],[])).
% 19.34/19.51 tff(37,plain,
% 19.34/19.51 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 19.34/19.51 inference(quant_intro,[status(thm)],[36])).
% 19.34/19.51 tff(38,plain,
% 19.34/19.51 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(39,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 19.34/19.51 tff(40,plain,
% 19.34/19.51 (![X: $i] : (multiply(identity, X) = X)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[39, 38])).
% 19.34/19.51 tff(41,plain,(
% 19.34/19.51 ![X: $i] : (multiply(identity, X) = X)),
% 19.34/19.51 inference(skolemize,[status(sab)],[40])).
% 19.34/19.51 tff(42,plain,
% 19.34/19.51 (![X: $i] : (multiply(identity, X) = X)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[41, 37])).
% 19.34/19.51 tff(43,plain,
% 19.34/19.51 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 19.34/19.51 inference(quant_inst,[status(thm)],[])).
% 19.34/19.51 tff(44,plain,
% 19.34/19.51 (multiply(identity, sk_c2) = sk_c2),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[43, 42])).
% 19.34/19.51 tff(45,plain,
% 19.34/19.51 (sk_c2 = inverse(sk_c1)),
% 19.34/19.51 inference(symmetry,[status(thm)],[23])).
% 19.34/19.51 tff(46,plain,
% 19.34/19.51 (^[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))))),
% 19.34/19.51 inference(bind,[status(th)],[])).
% 19.34/19.51 tff(47,plain,
% 19.34/19.51 (![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)))),
% 19.34/19.51 inference(quant_intro,[status(thm)],[46])).
% 19.34/19.51 tff(48,plain,
% 19.34/19.51 (![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)))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(49,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','associativity')).
% 19.34/19.51 tff(50,plain,
% 19.34/19.51 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[49, 48])).
% 19.34/19.51 tff(51,plain,(
% 19.34/19.51 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 19.34/19.51 inference(skolemize,[status(sab)],[50])).
% 19.34/19.51 tff(52,plain,
% 19.34/19.51 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[51, 47])).
% 19.34/19.51 tff(53,plain,
% 19.34/19.51 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.34/19.51 inference(quant_inst,[status(thm)],[])).
% 19.34/19.51 tff(54,plain,
% 19.34/19.51 (multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[53, 52])).
% 19.34/19.51 tff(55,assumption,(~(inverse(sk_c8) = sk_c7)), introduced(assumption)).
% 19.34/19.51 tff(56,plain,
% 19.34/19.51 (((inverse(sk_c3) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c3) = sk_c8) | (inverse(sk_c8) = sk_c7))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(57,axiom,((inverse(sk_c3) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 19.34/19.51 tff(58,plain,
% 19.34/19.51 ((inverse(sk_c3) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[57, 56])).
% 19.34/19.51 tff(59,plain,
% 19.34/19.51 (inverse(sk_c3) = sk_c8),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[58, 55])).
% 19.34/19.51 tff(60,plain,
% 19.34/19.51 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 19.34/19.51 inference(quant_inst,[status(thm)],[])).
% 19.34/19.51 tff(61,plain,
% 19.34/19.51 (multiply(identity, sk_c3) = sk_c3),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[60, 42])).
% 19.34/19.51 tff(62,plain,
% 19.34/19.51 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(63,plain,
% 19.34/19.51 (((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(64,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_25')).
% 19.34/19.51 tff(65,plain,
% 19.34/19.51 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[64, 63])).
% 19.34/19.51 tff(66,plain,
% 19.34/19.51 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[65, 62])).
% 19.34/19.51 tff(67,plain,
% 19.34/19.51 (multiply(sk_c3, sk_c7) = sk_c8),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[66, 55])).
% 19.34/19.51 tff(68,plain,
% 19.34/19.51 (((inverse(sk_c1) = sk_c2) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c1) = sk_c2) | (inverse(sk_c8) = sk_c7))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(69,axiom,((inverse(sk_c1) = sk_c2) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_7')).
% 19.34/19.51 tff(70,plain,
% 19.34/19.51 ((inverse(sk_c1) = sk_c2) | (inverse(sk_c8) = sk_c7)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[69, 68])).
% 19.34/19.51 tff(71,plain,
% 19.34/19.51 (inverse(sk_c1) = sk_c2),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[70, 55])).
% 19.34/19.51 tff(72,plain,
% 19.34/19.51 (multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)) = multiply(sk_c2, sk_c8)),
% 19.34/19.51 inference(monotonicity,[status(thm)],[71, 67])).
% 19.34/19.51 tff(73,plain,
% 19.34/19.51 (multiply(sk_c2, sk_c8) = multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))),
% 19.34/19.51 inference(symmetry,[status(thm)],[72])).
% 19.34/19.51 tff(74,plain,
% 19.34/19.51 (((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7))),
% 19.34/19.51 inference(rewrite,[status(thm)],[])).
% 19.34/19.51 tff(75,axiom,((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_1')).
% 19.34/19.51 tff(76,plain,
% 19.34/19.51 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[75, 74])).
% 19.34/19.51 tff(77,plain,
% 19.34/19.51 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[76, 74])).
% 19.34/19.51 tff(78,plain,
% 19.34/19.51 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[77, 74])).
% 19.34/19.51 tff(79,plain,
% 19.34/19.51 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[78, 74])).
% 19.34/19.51 tff(80,plain,
% 19.34/19.51 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 19.34/19.51 inference(modus_ponens,[status(thm)],[79, 74])).
% 19.34/19.51 tff(81,plain,
% 19.34/19.51 (multiply(sk_c1, sk_c2) = sk_c8),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[80, 55])).
% 19.34/19.51 tff(82,plain,
% 19.34/19.51 (sk_c8 = multiply(sk_c1, sk_c2)),
% 19.34/19.51 inference(symmetry,[status(thm)],[81])).
% 19.34/19.51 tff(83,plain,
% 19.34/19.51 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c1, sk_c2))),
% 19.34/19.51 inference(monotonicity,[status(thm)],[82])).
% 19.34/19.51 tff(84,plain,
% 19.34/19.51 (multiply(sk_c2, multiply(sk_c1, sk_c2)) = multiply(sk_c2, sk_c8)),
% 19.34/19.51 inference(symmetry,[status(thm)],[83])).
% 19.34/19.51 tff(85,plain,
% 19.34/19.51 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c1), sk_c2) = multiply(sk_c2, multiply(sk_c1, sk_c2)))),
% 19.34/19.51 inference(quant_inst,[status(thm)],[])).
% 19.34/19.51 tff(86,plain,
% 19.34/19.51 (multiply(multiply(sk_c2, sk_c1), sk_c2) = multiply(sk_c2, multiply(sk_c1, sk_c2))),
% 19.34/19.51 inference(unit_resolution,[status(thm)],[85, 52])).
% 19.34/19.51 tff(87,plain,
% 19.34/19.51 (sk_c2 = inverse(sk_c1)),
% 19.34/19.51 inference(symmetry,[status(thm)],[71])).
% 19.34/19.51 tff(88,plain,
% 19.34/19.51 (multiply(sk_c2, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 19.34/19.51 inference(monotonicity,[status(thm)],[87])).
% 19.34/19.52 tff(89,plain,
% 19.34/19.52 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c2, sk_c1)),
% 19.34/19.52 inference(symmetry,[status(thm)],[88])).
% 19.34/19.52 tff(90,plain,
% 19.34/19.52 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 19.34/19.52 inference(bind,[status(th)],[])).
% 19.34/19.52 tff(91,plain,
% 19.34/19.52 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 19.34/19.52 inference(quant_intro,[status(thm)],[90])).
% 19.34/19.52 tff(92,plain,
% 19.34/19.52 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 19.34/19.52 inference(rewrite,[status(thm)],[])).
% 19.34/19.52 tff(93,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 19.34/19.52 tff(94,plain,
% 19.34/19.52 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 19.34/19.52 inference(modus_ponens,[status(thm)],[93, 92])).
% 19.34/19.52 tff(95,plain,(
% 19.34/19.52 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 19.34/19.52 inference(skolemize,[status(sab)],[94])).
% 19.34/19.52 tff(96,plain,
% 19.34/19.52 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 19.34/19.52 inference(modus_ponens,[status(thm)],[95, 91])).
% 19.34/19.52 tff(97,plain,
% 19.34/19.52 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(98,plain,
% 19.34/19.52 (multiply(inverse(sk_c1), sk_c1) = identity),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[97, 96])).
% 19.34/19.52 tff(99,plain,
% 19.34/19.52 (identity = multiply(inverse(sk_c1), sk_c1)),
% 19.34/19.52 inference(symmetry,[status(thm)],[98])).
% 19.34/19.52 tff(100,plain,
% 19.34/19.52 (identity = multiply(sk_c2, sk_c1)),
% 19.34/19.52 inference(transitivity,[status(thm)],[99, 89])).
% 19.34/19.52 tff(101,plain,
% 19.34/19.52 (multiply(identity, sk_c2) = multiply(multiply(sk_c2, sk_c1), sk_c2)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[100])).
% 19.34/19.52 tff(102,plain,
% 19.34/19.52 (sk_c2 = multiply(identity, sk_c2)),
% 19.34/19.52 inference(symmetry,[status(thm)],[44])).
% 19.34/19.52 tff(103,plain,
% 19.34/19.52 (sk_c2 = multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))),
% 19.34/19.52 inference(transitivity,[status(thm)],[102, 101, 86, 84, 73])).
% 19.34/19.52 tff(104,plain,
% 19.34/19.52 (multiply(sk_c1, inverse(sk_c1)) = multiply(sk_c1, sk_c2)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[71])).
% 19.34/19.52 tff(105,plain,
% 19.34/19.52 (multiply(sk_c1, sk_c2) = multiply(sk_c1, inverse(sk_c1))),
% 19.34/19.52 inference(symmetry,[status(thm)],[104])).
% 19.34/19.52 tff(106,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, sk_c2), sk_c2) = multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[105, 103])).
% 19.34/19.52 tff(107,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c1, sk_c2), sk_c2)),
% 19.34/19.52 inference(symmetry,[status(thm)],[106])).
% 19.34/19.52 tff(108,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(109,plain,
% 19.34/19.52 (multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[108, 52])).
% 19.34/19.52 tff(110,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)) = multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(111,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)) = multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[110, 52])).
% 19.34/19.52 tff(112,plain,
% 19.34/19.52 (multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[111])).
% 19.34/19.52 tff(113,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), multiply(sk_c3, sk_c7))),
% 19.34/19.52 inference(symmetry,[status(thm)],[112])).
% 19.34/19.52 tff(114,plain,
% 19.34/19.52 (sk_c8 = multiply(sk_c3, sk_c7)),
% 19.34/19.52 inference(symmetry,[status(thm)],[67])).
% 19.34/19.52 tff(115,plain,
% 19.34/19.52 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c8))),
% 19.34/19.52 inference(rewrite,[status(thm)],[])).
% 19.34/19.52 tff(116,plain,
% 19.34/19.52 (((multiply(sk_c2, sk_c7) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c8))),
% 19.34/19.52 inference(rewrite,[status(thm)],[])).
% 19.34/19.52 tff(117,axiom,((multiply(sk_c2, sk_c7) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_13')).
% 19.34/19.52 tff(118,plain,
% 19.34/19.52 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c8)),
% 19.34/19.52 inference(modus_ponens,[status(thm)],[117, 116])).
% 19.34/19.52 tff(119,plain,
% 19.34/19.52 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c8)),
% 19.34/19.52 inference(modus_ponens,[status(thm)],[118, 115])).
% 19.34/19.52 tff(120,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c7) = sk_c8),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[119, 55])).
% 19.34/19.52 tff(121,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c7) = multiply(sk_c3, sk_c7)),
% 19.34/19.52 inference(transitivity,[status(thm)],[120, 114])).
% 19.34/19.52 tff(122,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)) = multiply(multiply(sk_c1, sk_c2), sk_c2)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[104, 71])).
% 19.34/19.52 tff(123,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, sk_c2), sk_c2) = multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1))),
% 19.34/19.52 inference(symmetry,[status(thm)],[122])).
% 19.34/19.52 tff(124,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), sk_c2) = multiply(sk_c1, multiply(sk_c2, sk_c2)))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(125,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, sk_c2), sk_c2) = multiply(sk_c1, multiply(sk_c2, sk_c2))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[124, 52])).
% 19.34/19.52 tff(126,plain,
% 19.34/19.52 (multiply(sk_c1, multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c1, sk_c2), sk_c2)),
% 19.34/19.52 inference(symmetry,[status(thm)],[125])).
% 19.34/19.52 tff(127,plain,
% 19.34/19.52 (multiply(sk_c1, multiply(sk_c2, sk_c2)) = multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.34/19.52 inference(transitivity,[status(thm)],[126, 123, 111])).
% 19.34/19.52 tff(128,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[127, 121])).
% 19.34/19.52 tff(129,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c2), sk_c7) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, sk_c7)))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(130,plain,
% 19.34/19.52 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c2), sk_c7) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, sk_c7))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[129, 52])).
% 19.34/19.52 tff(131,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c2) = multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), inverse(sk_c1))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[127, 87])).
% 19.34/19.52 tff(132,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), inverse(sk_c1)) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c2)),
% 19.34/19.52 inference(symmetry,[status(thm)],[131])).
% 19.34/19.52 tff(133,plain,
% 19.34/19.52 (multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1))),
% 19.34/19.52 inference(symmetry,[status(thm)],[111])).
% 19.34/19.52 tff(134,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), inverse(sk_c1)) = multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), inverse(sk_c1))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[133])).
% 19.34/19.52 tff(135,plain,
% 19.34/19.52 (multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), inverse(sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), inverse(sk_c1))),
% 19.34/19.52 inference(symmetry,[status(thm)],[134])).
% 19.34/19.52 tff(136,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), inverse(sk_c1)) = multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(137,plain,
% 19.34/19.52 (multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), inverse(sk_c1)) = multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[136, 52])).
% 19.34/19.52 tff(138,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), inverse(sk_c1))),
% 19.34/19.52 inference(symmetry,[status(thm)],[137])).
% 19.34/19.52 tff(139,plain,
% 19.34/19.52 (multiply(inverse(sk_c1), inverse(sk_c1)) = multiply(sk_c2, sk_c2)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[71, 71])).
% 19.34/19.52 tff(140,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c2) = multiply(inverse(sk_c1), inverse(sk_c1))),
% 19.34/19.52 inference(symmetry,[status(thm)],[139])).
% 19.34/19.52 tff(141,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c7) = multiply(sk_c1, inverse(sk_c1))),
% 19.34/19.52 inference(transitivity,[status(thm)],[120, 82, 105])).
% 19.34/19.52 tff(142,plain,
% 19.34/19.52 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[141, 140])).
% 19.34/19.52 tff(143,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c2)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c2))))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(144,plain,
% 19.34/19.52 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c2)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c2)))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[143, 52])).
% 19.34/19.52 tff(145,plain,
% 19.34/19.52 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c2))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c2))),
% 19.34/19.52 inference(symmetry,[status(thm)],[144])).
% 19.34/19.52 tff(146,plain,
% 19.34/19.52 (multiply(sk_c7, multiply(sk_c2, sk_c2)) = multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[140])).
% 19.34/19.52 tff(147,plain,
% 19.34/19.52 (multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(sk_c7, multiply(sk_c2, sk_c2))),
% 19.34/19.52 inference(symmetry,[status(thm)],[146])).
% 19.34/19.52 tff(148,plain,
% 19.34/19.52 (multiply(sk_c2, multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c2)))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[147])).
% 19.34/19.52 tff(149,plain,
% 19.34/19.52 (multiply(sk_c2, multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c2)),
% 19.34/19.52 inference(transitivity,[status(thm)],[148, 145, 142, 138, 135, 132])).
% 19.34/19.52 tff(150,plain,
% 19.34/19.52 (multiply(multiply(sk_c2, multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c2), sk_c7)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[149])).
% 19.34/19.52 tff(151,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7) = multiply(sk_c2, multiply(multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1))), sk_c7)))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(152,plain,
% 19.34/19.52 (multiply(multiply(sk_c2, multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7) = multiply(sk_c2, multiply(multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1))), sk_c7))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[151, 52])).
% 19.34/19.52 tff(153,plain,
% 19.34/19.52 (multiply(sk_c2, multiply(multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1))), sk_c7)) = multiply(multiply(sk_c2, multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7)),
% 19.34/19.52 inference(symmetry,[status(thm)],[152])).
% 19.34/19.52 tff(154,plain,
% 19.34/19.52 (multiply(multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1))), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c2)), sk_c7)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[147])).
% 19.34/19.52 tff(155,plain,
% 19.34/19.52 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c2)), sk_c7) = multiply(multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1))), sk_c7)),
% 19.34/19.52 inference(symmetry,[status(thm)],[154])).
% 19.34/19.52 tff(156,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c2, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(157,plain,
% 19.34/19.52 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[156, 52])).
% 19.34/19.52 tff(158,plain,
% 19.34/19.52 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c2)), sk_c7)),
% 19.34/19.52 inference(symmetry,[status(thm)],[157])).
% 19.34/19.52 tff(159,plain,
% 19.34/19.52 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)) = multiply(multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1))), sk_c7)),
% 19.34/19.52 inference(transitivity,[status(thm)],[158, 155])).
% 19.34/19.52 tff(160,plain,
% 19.34/19.52 (multiply(multiply(sk_c2, sk_c1), sk_c2) = multiply(identity, sk_c2)),
% 19.34/19.52 inference(symmetry,[status(thm)],[101])).
% 19.34/19.52 tff(161,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c1), sk_c2) = multiply(inverse(sk_c8), multiply(sk_c1, sk_c2)))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(162,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c8), sk_c1), sk_c2) = multiply(inverse(sk_c8), multiply(sk_c1, sk_c2))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[161, 52])).
% 19.34/19.52 tff(163,plain,
% 19.34/19.52 (multiply(inverse(sk_c8), multiply(sk_c1, sk_c2)) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c2)),
% 19.34/19.52 inference(symmetry,[status(thm)],[162])).
% 19.34/19.52 tff(164,plain,
% 19.34/19.52 (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c1, sk_c2))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[82])).
% 19.34/19.52 tff(165,plain,
% 19.34/19.52 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c8), sk_c8) = identity)),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(166,plain,
% 19.34/19.52 (multiply(inverse(sk_c8), sk_c8) = identity),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[165, 96])).
% 19.34/19.52 tff(167,plain,
% 19.34/19.52 (identity = multiply(inverse(sk_c8), sk_c8)),
% 19.34/19.52 inference(symmetry,[status(thm)],[166])).
% 19.34/19.52 tff(168,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c1) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c2)),
% 19.34/19.52 inference(transitivity,[status(thm)],[88, 98, 167, 164, 163])).
% 19.34/19.52 tff(169,plain,
% 19.34/19.52 (multiply(multiply(sk_c2, sk_c1), sk_c2) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c2), sk_c2)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[168])).
% 19.34/19.52 tff(170,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c2), sk_c2) = multiply(multiply(sk_c2, sk_c1), sk_c2)),
% 19.34/19.52 inference(symmetry,[status(thm)],[169])).
% 19.34/19.52 tff(171,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c2), sk_c2) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, sk_c2)))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(172,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c2), sk_c2) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, sk_c2))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[171, 52])).
% 19.34/19.52 tff(173,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, sk_c2)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), sk_c2), sk_c2)),
% 19.34/19.52 inference(symmetry,[status(thm)],[172])).
% 19.34/19.52 tff(174,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c2) = multiply(inverse(sk_c1), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[87, 103])).
% 19.34/19.52 tff(175,plain,
% 19.34/19.52 (multiply(inverse(sk_c1), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))) = multiply(sk_c2, sk_c2)),
% 19.34/19.52 inference(symmetry,[status(thm)],[174])).
% 19.34/19.52 tff(176,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)) = multiply(inverse(sk_c1), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(177,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)) = multiply(inverse(sk_c1), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[176, 52])).
% 19.34/19.52 tff(178,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)) = multiply(sk_c2, sk_c2)),
% 19.34/19.52 inference(transitivity,[status(thm)],[177, 175])).
% 19.34/19.52 tff(179,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, sk_c2))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[178])).
% 19.34/19.52 tff(180,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))) = sk_c2),
% 19.34/19.52 inference(transitivity,[status(thm)],[179, 173, 170, 160, 44])).
% 19.34/19.52 tff(181,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))) = multiply(sk_c2, multiply(multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1))), sk_c7))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[180, 159])).
% 19.34/19.52 tff(182,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(183,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[182, 52])).
% 19.34/19.52 tff(184,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))),
% 19.34/19.52 inference(symmetry,[status(thm)],[183])).
% 19.34/19.52 tff(185,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c2), sk_c7) = multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(186,plain,
% 19.34/19.52 (multiply(multiply(sk_c2, sk_c2), sk_c7) = multiply(sk_c2, multiply(sk_c2, sk_c7))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[185, 52])).
% 19.34/19.52 tff(187,plain,
% 19.34/19.52 (multiply(sk_c2, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, sk_c2), sk_c7)),
% 19.34/19.52 inference(symmetry,[status(thm)],[186])).
% 19.34/19.52 tff(188,plain,
% 19.34/19.52 (multiply(sk_c2, multiply(sk_c2, sk_c7)) = multiply(sk_c2, sk_c8)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[120])).
% 19.34/19.52 tff(189,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c2, sk_c7))),
% 19.34/19.52 inference(symmetry,[status(thm)],[188])).
% 19.34/19.52 tff(190,plain,
% 19.34/19.52 (multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c2, sk_c2), sk_c7)),
% 19.34/19.52 inference(transitivity,[status(thm)],[72, 189, 187])).
% 19.34/19.52 tff(191,plain,
% 19.34/19.52 (multiply(sk_c7, multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[190])).
% 19.34/19.52 tff(192,plain,
% 19.34/19.52 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)) = multiply(sk_c7, multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)))),
% 19.34/19.52 inference(symmetry,[status(thm)],[191])).
% 19.34/19.52 tff(193,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))) = multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[192])).
% 19.34/19.52 tff(194,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)))) = multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))),
% 19.34/19.52 inference(symmetry,[status(thm)],[193])).
% 19.34/19.52 tff(195,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))) = multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)))))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(196,plain,
% 19.34/19.52 (multiply(multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))) = multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[195, 52])).
% 19.34/19.52 tff(197,plain,
% 19.34/19.52 (multiply(sk_c2, multiply(sk_c1, sk_c2)) = multiply(multiply(sk_c2, sk_c1), sk_c2)),
% 19.34/19.52 inference(symmetry,[status(thm)],[86])).
% 19.34/19.52 tff(198,plain,
% 19.34/19.52 (multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)) = sk_c2),
% 19.34/19.52 inference(transitivity,[status(thm)],[72, 83, 197, 160, 44])).
% 19.34/19.52 tff(199,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7) = multiply(multiply(sk_c2, sk_c2), sk_c7)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[178])).
% 19.34/19.52 tff(200,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7) = sk_c2),
% 19.34/19.52 inference(transitivity,[status(thm)],[199, 186, 188, 83, 197, 160, 44])).
% 19.34/19.52 tff(201,plain,
% 19.34/19.52 (multiply(multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))) = multiply(sk_c2, sk_c2)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[200, 198])).
% 19.34/19.52 tff(202,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c2) = multiply(multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)))),
% 19.34/19.52 inference(symmetry,[status(thm)],[201])).
% 19.34/19.52 tff(203,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c2) = multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))),
% 19.34/19.52 inference(transitivity,[status(thm)],[202, 196, 194])).
% 19.34/19.52 tff(204,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, sk_c2)) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7))))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[203])).
% 19.34/19.52 tff(205,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c1), sk_c3), sk_c7) = multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(206,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c1), sk_c3), sk_c7) = multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[205, 52])).
% 19.34/19.52 tff(207,plain,
% 19.34/19.52 (multiply(inverse(sk_c1), sk_c3) = multiply(sk_c2, sk_c3)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[71])).
% 19.34/19.52 tff(208,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c3) = multiply(inverse(sk_c1), sk_c3)),
% 19.34/19.52 inference(symmetry,[status(thm)],[207])).
% 19.34/19.52 tff(209,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), sk_c8) = multiply(sk_c2, sk_c8)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[198])).
% 19.34/19.52 tff(210,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c8) = multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), sk_c8)),
% 19.34/19.52 inference(symmetry,[status(thm)],[209])).
% 19.34/19.52 tff(211,plain,
% 19.34/19.52 (sk_c2 = multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), sk_c8)),
% 19.34/19.52 inference(transitivity,[status(thm)],[102, 101, 86, 84, 210])).
% 19.34/19.52 tff(212,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c3) = multiply(multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), sk_c8), sk_c3)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[211])).
% 19.34/19.52 tff(213,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), sk_c8), sk_c3) = multiply(sk_c2, sk_c3)),
% 19.34/19.52 inference(symmetry,[status(thm)],[212])).
% 19.34/19.52 tff(214,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), sk_c8), sk_c3) = multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), multiply(sk_c8, sk_c3)))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(215,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), sk_c8), sk_c3) = multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), multiply(sk_c8, sk_c3))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[214, 52])).
% 19.34/19.52 tff(216,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), multiply(sk_c8, sk_c3)) = multiply(multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), sk_c8), sk_c3)),
% 19.34/19.52 inference(symmetry,[status(thm)],[215])).
% 19.34/19.52 tff(217,plain,
% 19.34/19.52 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(218,plain,
% 19.34/19.52 (multiply(inverse(sk_c3), sk_c3) = identity),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[217, 96])).
% 19.34/19.52 tff(219,plain,
% 19.34/19.52 (sk_c8 = inverse(sk_c3)),
% 19.34/19.52 inference(symmetry,[status(thm)],[59])).
% 19.34/19.52 tff(220,plain,
% 19.34/19.52 (multiply(sk_c8, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[219])).
% 19.34/19.52 tff(221,plain,
% 19.34/19.52 (multiply(sk_c8, sk_c3) = multiply(sk_c2, sk_c1)),
% 19.34/19.52 inference(transitivity,[status(thm)],[220, 218, 99, 89])).
% 19.34/19.52 tff(222,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), multiply(sk_c8, sk_c3)) = multiply(sk_c2, multiply(sk_c2, sk_c1))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[198, 221])).
% 19.34/19.52 tff(223,plain,
% 19.34/19.52 (multiply(sk_c2, multiply(sk_c2, sk_c1)) = multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)), multiply(sk_c8, sk_c3))),
% 19.34/19.52 inference(symmetry,[status(thm)],[222])).
% 19.34/19.52 tff(224,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c7) = multiply(sk_c2, sk_c7)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[180])).
% 19.34/19.52 tff(225,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c7) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7)))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(226,plain,
% 19.34/19.52 (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c7) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7))),
% 19.34/19.52 inference(unit_resolution,[status(thm)],[225, 52])).
% 19.34/19.52 tff(227,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c7)),
% 19.34/19.52 inference(symmetry,[status(thm)],[226])).
% 19.34/19.52 tff(228,plain,
% 19.34/19.52 (multiply(multiply(sk_c2, sk_c2), sk_c7) = multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7)),
% 19.34/19.52 inference(symmetry,[status(thm)],[199])).
% 19.34/19.52 tff(229,plain,
% 19.34/19.52 (sk_c2 = multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7)),
% 19.34/19.52 inference(transitivity,[status(thm)],[102, 101, 86, 84, 189, 187, 228])).
% 19.34/19.52 tff(230,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c8), sk_c1), sk_c2) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7))),
% 19.34/19.52 inference(monotonicity,[status(thm)],[229])).
% 19.34/19.52 tff(231,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c1) = sk_c8),
% 19.34/19.52 inference(transitivity,[status(thm)],[88, 98, 167, 164, 163, 230, 227, 224, 120])).
% 19.34/19.52 tff(232,plain,
% 19.34/19.52 (multiply(sk_c2, multiply(sk_c2, sk_c1)) = multiply(sk_c2, sk_c8)),
% 19.34/19.52 inference(monotonicity,[status(thm)],[231])).
% 19.34/19.52 tff(233,plain,
% 19.34/19.52 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c2, sk_c1))),
% 19.34/19.52 inference(symmetry,[status(thm)],[232])).
% 19.34/19.52 tff(234,plain,
% 19.34/19.52 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, sk_c2))),
% 19.34/19.52 inference(symmetry,[status(thm)],[204])).
% 19.34/19.52 tff(235,plain,
% 19.34/19.52 (multiply(sk_c2, multiply(multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1))), sk_c7)) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c2), sk_c7)))),
% 19.34/19.52 inference(symmetry,[status(thm)],[181])).
% 19.34/19.52 tff(236,plain,
% 19.34/19.52 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c2), sk_c7) = multiply(multiply(sk_c2, multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7)),
% 19.34/19.52 inference(symmetry,[status(thm)],[150])).
% 19.34/19.52 tff(237,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c2), sk_c7)),
% 19.34/19.52 inference(symmetry,[status(thm)],[130])).
% 19.34/19.52 tff(238,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, sk_c7))),
% 19.34/19.52 inference(symmetry,[status(thm)],[128])).
% 19.34/19.52 tff(239,plain,
% 19.34/19.52 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)) = multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))))),
% 19.34/19.52 inference(quant_inst,[status(thm)],[])).
% 19.34/19.52 tff(240,plain,
% 19.34/19.52 (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)) = multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)))),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[239, 52])).
% 19.34/19.53 tff(241,plain,
% 19.34/19.53 (multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))),
% 19.34/19.53 inference(symmetry,[status(thm)],[240])).
% 19.34/19.53 tff(242,plain,
% 19.34/19.53 (multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))) = multiply(inverse(sk_c1), sk_c3)),
% 19.34/19.53 inference(transitivity,[status(thm)],[241, 238, 237, 236, 152, 235, 183, 234, 173, 170, 86, 84, 233, 223, 216, 213, 208])).
% 19.34/19.53 tff(243,plain,
% 19.34/19.53 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c7) = multiply(multiply(inverse(sk_c1), sk_c3), sk_c7)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[242])).
% 19.34/19.53 tff(244,plain,
% 19.34/19.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c7) = multiply(sk_c1, multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7)))),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(245,plain,
% 19.34/19.53 (multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c7) = multiply(sk_c1, multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7))),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[244, 52])).
% 19.34/19.53 tff(246,plain,
% 19.34/19.53 (multiply(sk_c1, multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7)) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c7)),
% 19.34/19.53 inference(symmetry,[status(thm)],[245])).
% 19.34/19.53 tff(247,plain,
% 19.34/19.53 (multiply(sk_c1, sk_c2) = multiply(sk_c1, multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[229])).
% 19.34/19.53 tff(248,plain,
% 19.34/19.53 (identity = multiply(multiply(sk_c1, sk_c2), sk_c2)),
% 19.34/19.53 inference(transitivity,[status(thm)],[167, 164, 163, 230, 227, 224, 120, 82, 247, 246, 243, 206, 72, 83, 197, 169, 172, 204, 184, 181, 153, 150, 130, 128, 113, 109, 107])).
% 19.34/19.53 tff(249,plain,
% 19.34/19.53 (multiply(identity, sk_c3) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[248])).
% 19.34/19.53 tff(250,plain,
% 19.34/19.53 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3) = multiply(identity, sk_c3)),
% 19.34/19.53 inference(symmetry,[status(thm)],[249])).
% 19.34/19.53 tff(251,plain,
% 19.34/19.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)))),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(252,plain,
% 19.34/19.53 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3))),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[251, 52])).
% 19.34/19.53 tff(253,plain,
% 19.34/19.53 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3)),
% 19.34/19.53 inference(symmetry,[status(thm)],[252])).
% 19.34/19.53 tff(254,plain,
% 19.34/19.53 (sk_c8 = multiply(sk_c2, sk_c7)),
% 19.34/19.53 inference(symmetry,[status(thm)],[120])).
% 19.34/19.53 tff(255,plain,
% 19.34/19.53 (multiply(sk_c1, sk_c2) = multiply(sk_c2, sk_c7)),
% 19.34/19.53 inference(transitivity,[status(thm)],[81, 254])).
% 19.34/19.53 tff(256,plain,
% 19.34/19.53 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c3))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[255])).
% 19.34/19.53 tff(257,plain,
% 19.34/19.53 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3))),
% 19.34/19.53 inference(symmetry,[status(thm)],[256])).
% 19.34/19.53 tff(258,plain,
% 19.34/19.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c3)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c3))))),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(259,plain,
% 19.34/19.53 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c3)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c3)))),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[258, 52])).
% 19.34/19.53 tff(260,plain,
% 19.34/19.53 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c3))),
% 19.34/19.53 inference(symmetry,[status(thm)],[259])).
% 19.34/19.53 tff(261,plain,
% 19.34/19.53 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, sk_c2)) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)))),
% 19.34/19.53 inference(symmetry,[status(thm)],[179])).
% 19.34/19.53 tff(262,plain,
% 19.34/19.53 (sk_c2 = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)))),
% 19.34/19.53 inference(transitivity,[status(thm)],[102, 101, 169, 172, 261])).
% 19.34/19.53 tff(263,plain,
% 19.34/19.53 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c3))) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), multiply(sk_c7, multiply(sk_c2, sk_c3)))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[262])).
% 19.34/19.53 tff(264,plain,
% 19.34/19.53 (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), multiply(sk_c7, multiply(sk_c2, sk_c3))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c3)))),
% 19.34/19.53 inference(symmetry,[status(thm)],[263])).
% 19.34/19.53 tff(265,plain,
% 19.34/19.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), multiply(sk_c7, multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c2, sk_c3)))))),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(266,plain,
% 19.34/19.53 (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), multiply(sk_c7, multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c2, sk_c3))))),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[265, 52])).
% 19.34/19.53 tff(267,plain,
% 19.34/19.53 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c2, sk_c3)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), multiply(sk_c7, multiply(sk_c2, sk_c3)))),
% 19.34/19.53 inference(symmetry,[status(thm)],[266])).
% 19.34/19.53 tff(268,plain,
% 19.34/19.53 (multiply(multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c2, sk_c3)) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[200])).
% 19.34/19.53 tff(269,plain,
% 19.34/19.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c2, sk_c3))))),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(270,plain,
% 19.34/19.53 (multiply(multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c2, sk_c3)))),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[269, 52])).
% 19.34/19.53 tff(271,plain,
% 19.34/19.53 (multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c2, sk_c3))) = multiply(multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c2, sk_c3))),
% 19.34/19.53 inference(symmetry,[status(thm)],[270])).
% 19.34/19.53 tff(272,plain,
% 19.34/19.53 (multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c2, sk_c3))) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.34/19.53 inference(transitivity,[status(thm)],[271, 268])).
% 19.34/19.53 tff(273,plain,
% 19.34/19.53 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c2, sk_c3)))) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, multiply(sk_c2, sk_c3)))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[272])).
% 19.34/19.53 tff(274,plain,
% 19.34/19.53 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c2, sk_c3))))),
% 19.34/19.53 inference(symmetry,[status(thm)],[273])).
% 19.34/19.53 tff(275,plain,
% 19.34/19.53 (multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c3) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[178])).
% 19.34/19.53 tff(276,plain,
% 19.34/19.53 (multiply(multiply(sk_c2, sk_c2), sk_c3) = multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c3)),
% 19.34/19.53 inference(symmetry,[status(thm)],[275])).
% 19.34/19.53 tff(277,plain,
% 19.34/19.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c2), sk_c3) = multiply(sk_c2, multiply(sk_c2, sk_c3)))),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(278,plain,
% 19.34/19.53 (multiply(multiply(sk_c2, sk_c2), sk_c3) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[277, 52])).
% 19.34/19.53 tff(279,plain,
% 19.34/19.53 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.34/19.53 inference(symmetry,[status(thm)],[278])).
% 19.34/19.53 tff(280,plain,
% 19.34/19.53 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c3)),
% 19.34/19.53 inference(transitivity,[status(thm)],[279, 276])).
% 19.34/19.53 tff(281,plain,
% 19.34/19.53 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c3))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[280])).
% 19.34/19.53 tff(282,plain,
% 19.34/19.53 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c3)) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, multiply(sk_c2, sk_c3)))),
% 19.34/19.53 inference(symmetry,[status(thm)],[281])).
% 19.34/19.53 tff(283,plain,
% 19.34/19.53 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c3) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c3)))),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(284,plain,
% 19.34/19.53 (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c3) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c3))),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[283, 52])).
% 19.34/19.53 tff(285,plain,
% 19.34/19.53 (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c3) = multiply(sk_c2, sk_c3)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[180])).
% 19.34/19.53 tff(286,plain,
% 19.34/19.53 (multiply(sk_c2, sk_c3) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c3)),
% 19.34/19.53 inference(symmetry,[status(thm)],[285])).
% 19.34/19.53 tff(287,plain,
% 19.34/19.53 (sk_c2 = sk_c3),
% 19.34/19.53 inference(transitivity,[status(thm)],[102, 101, 86, 84, 233, 223, 216, 213, 286, 284, 282, 274, 267, 264, 260, 257, 253, 250, 61])).
% 19.34/19.53 tff(288,plain,
% 19.34/19.53 (inverse(sk_c2) = inverse(sk_c3)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[287])).
% 19.34/19.53 tff(289,plain,
% 19.34/19.53 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, inverse(sk_c2)) = inverse(sk_c2))),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(290,plain,
% 19.34/19.53 (multiply(identity, inverse(sk_c2)) = inverse(sk_c2)),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[289, 42])).
% 19.34/19.53 tff(291,plain,
% 19.34/19.53 (multiply(inverse(sk_c8), multiply(sk_c1, sk_c2)) = multiply(inverse(sk_c8), sk_c8)),
% 19.34/19.53 inference(symmetry,[status(thm)],[164])).
% 19.34/19.53 tff(292,plain,
% 19.34/19.53 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7)) = multiply(multiply(inverse(sk_c8), sk_c1), sk_c2)),
% 19.34/19.53 inference(symmetry,[status(thm)],[230])).
% 19.34/19.53 tff(293,plain,
% 19.34/19.53 (multiply(sk_c2, sk_c7) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c7)),
% 19.34/19.53 inference(symmetry,[status(thm)],[224])).
% 19.34/19.53 tff(294,plain,
% 19.34/19.53 (multiply(sk_c1, multiply(multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)), sk_c7)) = multiply(sk_c1, sk_c2)),
% 19.34/19.53 inference(symmetry,[status(thm)],[247])).
% 19.34/19.53 tff(295,plain,
% 19.34/19.53 (multiply(multiply(inverse(sk_c1), sk_c3), sk_c7) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c7)),
% 19.34/19.53 inference(symmetry,[status(thm)],[243])).
% 19.34/19.53 tff(296,plain,
% 19.34/19.53 (multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)) = multiply(multiply(inverse(sk_c1), sk_c3), sk_c7)),
% 19.34/19.53 inference(symmetry,[status(thm)],[206])).
% 19.34/19.53 tff(297,plain,
% 19.34/19.53 (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)) = identity),
% 19.34/19.53 inference(transitivity,[status(thm)],[238, 237, 236, 152, 235, 183, 234, 173, 170, 86, 84, 73, 296, 295, 245, 294, 81, 254, 293, 226, 292, 162, 291, 166])).
% 19.34/19.53 tff(298,plain,
% 19.34/19.53 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)), inverse(sk_c2)) = multiply(identity, inverse(sk_c2))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[297])).
% 19.34/19.53 tff(299,plain,
% 19.34/19.53 (sk_c8 = sk_c2),
% 19.34/19.53 inference(transitivity,[status(thm)],[82, 247, 246, 243, 206, 72, 83, 197, 160, 44])).
% 19.34/19.53 tff(300,plain,
% 19.34/19.53 (inverse(sk_c8) = inverse(sk_c2)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[299])).
% 19.34/19.53 tff(301,plain,
% 19.34/19.53 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)), inverse(sk_c8)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)), inverse(sk_c2))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[300])).
% 19.34/19.53 tff(302,plain,
% 19.34/19.53 (identity = multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))),
% 19.34/19.53 inference(transitivity,[status(thm)],[167, 164, 163, 230, 227, 224, 120, 82, 247, 246, 243, 206, 72, 83, 197, 169, 172, 204, 184, 181, 153, 150, 130, 128])).
% 19.34/19.53 tff(303,plain,
% 19.34/19.53 (multiply(identity, inverse(sk_c8)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)), inverse(sk_c8))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[302])).
% 19.34/19.53 tff(304,plain,
% 19.34/19.53 (sk_c8 = identity),
% 19.34/19.53 inference(transitivity,[status(thm)],[254, 293, 226, 292, 162, 291, 166])).
% 19.34/19.53 tff(305,plain,
% 19.34/19.53 (multiply(sk_c8, inverse(sk_c8)) = multiply(identity, inverse(sk_c8))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[304])).
% 19.34/19.53 tff(306,plain,
% 19.34/19.53 (multiply(sk_c8, inverse(sk_c8)) = sk_c8),
% 19.34/19.53 inference(transitivity,[status(thm)],[305, 303, 301, 298, 290, 288, 59])).
% 19.34/19.53 tff(307,plain,
% 19.34/19.53 (identity = multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7)))),
% 19.34/19.53 inference(transitivity,[status(thm)],[167, 164, 163, 230, 227, 224, 120, 82, 247, 246, 243, 206, 72, 83, 197, 169, 172, 204, 184, 181, 153, 150, 130, 128, 240])).
% 19.34/19.53 tff(308,plain,
% 19.34/19.53 (multiply(identity, sk_c7) = multiply(multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), multiply(sk_c3, sk_c7))), sk_c7)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[307])).
% 19.34/19.53 tff(309,plain,
% 19.34/19.53 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(310,plain,
% 19.34/19.53 (multiply(identity, sk_c7) = sk_c7),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[309, 42])).
% 19.34/19.53 tff(311,plain,
% 19.34/19.53 (sk_c7 = multiply(identity, sk_c7)),
% 19.34/19.53 inference(symmetry,[status(thm)],[310])).
% 19.34/19.53 tff(312,plain,
% 19.34/19.53 (sk_c7 = sk_c8),
% 19.34/19.53 inference(transitivity,[status(thm)],[311, 308, 245, 294, 81])).
% 19.34/19.53 tff(313,plain,
% 19.34/19.53 (multiply(identity, inverse(sk_c8)) = multiply(sk_c8, inverse(sk_c8))),
% 19.34/19.53 inference(symmetry,[status(thm)],[305])).
% 19.34/19.53 tff(314,plain,
% 19.34/19.53 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)), inverse(sk_c8)) = multiply(identity, inverse(sk_c8))),
% 19.34/19.53 inference(symmetry,[status(thm)],[303])).
% 19.34/19.53 tff(315,plain,
% 19.34/19.53 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)), inverse(sk_c2)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)), inverse(sk_c8))),
% 19.34/19.53 inference(symmetry,[status(thm)],[301])).
% 19.34/19.53 tff(316,plain,
% 19.34/19.53 (multiply(identity, inverse(sk_c2)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)), inverse(sk_c2))),
% 19.34/19.53 inference(symmetry,[status(thm)],[298])).
% 19.34/19.53 tff(317,plain,
% 19.34/19.53 (inverse(sk_c2) = multiply(identity, inverse(sk_c2))),
% 19.34/19.53 inference(symmetry,[status(thm)],[290])).
% 19.34/19.53 tff(318,plain,
% 19.34/19.53 (inverse(sk_c8) = multiply(sk_c8, inverse(sk_c8))),
% 19.34/19.53 inference(transitivity,[status(thm)],[300, 317, 316, 315, 314, 313])).
% 19.34/19.53 tff(319,plain,
% 19.34/19.53 ((inverse(sk_c8) = sk_c7) <=> (multiply(sk_c8, inverse(sk_c8)) = sk_c8)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[318, 312])).
% 19.34/19.53 tff(320,plain,
% 19.34/19.53 ((~(inverse(sk_c8) = sk_c7)) <=> (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[319])).
% 19.34/19.53 tff(321,plain,
% 19.34/19.53 (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)),
% 19.34/19.53 inference(modus_ponens,[status(thm)],[55, 320])).
% 19.34/19.53 tff(322,plain,
% 19.34/19.53 ($false),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[321, 306])).
% 19.34/19.53 tff(323,plain,(inverse(sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 19.34/19.53 tff(324,plain,
% 19.34/19.53 (sk_c7 = inverse(sk_c8)),
% 19.34/19.53 inference(symmetry,[status(thm)],[323])).
% 19.34/19.53 tff(325,assumption,(~(inverse(sk_c3) = sk_c8)), introduced(assumption)).
% 19.34/19.53 tff(326,plain,
% 19.34/19.53 (((inverse(sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 19.34/19.53 inference(rewrite,[status(thm)],[])).
% 19.34/19.53 tff(327,axiom,((inverse(sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_22')).
% 19.34/19.53 tff(328,plain,
% 19.34/19.53 ((inverse(sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 19.34/19.53 inference(modus_ponens,[status(thm)],[327, 326])).
% 19.34/19.53 tff(329,plain,
% 19.34/19.53 (multiply(sk_c8, sk_c6) = sk_c7),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[328, 325])).
% 19.34/19.53 tff(330,plain,
% 19.34/19.53 (((inverse(sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 19.34/19.53 inference(rewrite,[status(thm)],[])).
% 19.34/19.53 tff(331,axiom,((inverse(sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_23')).
% 19.34/19.53 tff(332,plain,
% 19.34/19.53 ((inverse(sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 19.34/19.53 inference(modus_ponens,[status(thm)],[331, 330])).
% 19.34/19.53 tff(333,plain,
% 19.34/19.53 (multiply(sk_c5, sk_c8) = sk_c6),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[332, 325])).
% 19.34/19.53 tff(334,plain,
% 19.34/19.53 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[333])).
% 19.34/19.53 tff(335,plain,
% 19.34/19.53 ((~![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)))),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(336,plain,
% 19.34/19.53 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[335, 52])).
% 19.34/19.53 tff(337,plain,
% 19.34/19.53 (((inverse(sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 19.34/19.53 inference(rewrite,[status(thm)],[])).
% 19.34/19.53 tff(338,axiom,((inverse(sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_24')).
% 19.34/19.53 tff(339,plain,
% 19.34/19.53 ((inverse(sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 19.34/19.53 inference(modus_ponens,[status(thm)],[338, 337])).
% 19.34/19.53 tff(340,plain,
% 19.34/19.53 (inverse(sk_c5) = sk_c8),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[339, 325])).
% 19.34/19.53 tff(341,plain,
% 19.34/19.53 (sk_c8 = inverse(sk_c5)),
% 19.34/19.53 inference(symmetry,[status(thm)],[340])).
% 19.34/19.53 tff(342,plain,
% 19.34/19.53 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[341])).
% 19.34/19.53 tff(343,plain,
% 19.34/19.53 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 19.34/19.53 inference(symmetry,[status(thm)],[342])).
% 19.34/19.53 tff(344,plain,
% 19.34/19.53 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(345,plain,
% 19.34/19.53 (multiply(inverse(sk_c5), sk_c5) = identity),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[344, 96])).
% 19.34/19.53 tff(346,plain,
% 19.34/19.53 (identity = multiply(inverse(sk_c5), sk_c5)),
% 19.34/19.53 inference(symmetry,[status(thm)],[345])).
% 19.34/19.53 tff(347,plain,
% 19.34/19.53 (identity = multiply(sk_c8, sk_c5)),
% 19.34/19.53 inference(transitivity,[status(thm)],[346, 343])).
% 19.34/19.53 tff(348,plain,
% 19.34/19.53 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[347])).
% 19.34/19.53 tff(349,plain,
% 19.34/19.53 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 19.34/19.53 inference(quant_inst,[status(thm)],[])).
% 19.34/19.53 tff(350,plain,
% 19.34/19.53 (multiply(identity, sk_c8) = sk_c8),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[349, 42])).
% 19.34/19.53 tff(351,plain,
% 19.34/19.53 (sk_c8 = multiply(identity, sk_c8)),
% 19.34/19.53 inference(symmetry,[status(thm)],[350])).
% 19.34/19.53 tff(352,plain,
% 19.34/19.53 (sk_c8 = inverse(sk_c8)),
% 19.34/19.53 inference(transitivity,[status(thm)],[351, 348, 336, 334, 329, 324])).
% 19.34/19.53 tff(353,plain,
% 19.34/19.53 (multiply(sk_c8, sk_c7) = multiply(inverse(sk_c8), sk_c7)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[352])).
% 19.34/19.53 tff(354,plain,
% 19.34/19.53 (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c8, sk_c7)),
% 19.34/19.53 inference(symmetry,[status(thm)],[353])).
% 19.34/19.53 tff(355,plain,
% 19.34/19.53 ((multiply(inverse(sk_c8), sk_c7) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[354])).
% 19.34/19.53 tff(356,plain,
% 19.34/19.53 ((multiply(sk_c8, sk_c7) = sk_c8) <=> (multiply(inverse(sk_c8), sk_c7) = sk_c8)),
% 19.34/19.53 inference(symmetry,[status(thm)],[355])).
% 19.34/19.53 tff(357,plain,
% 19.34/19.53 (((inverse(sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 19.34/19.53 inference(rewrite,[status(thm)],[])).
% 19.34/19.53 tff(358,axiom,((inverse(sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_20')).
% 19.34/19.53 tff(359,plain,
% 19.34/19.53 ((inverse(sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 19.34/19.53 inference(modus_ponens,[status(thm)],[358, 357])).
% 19.34/19.53 tff(360,plain,
% 19.34/19.53 (inverse(sk_c4) = sk_c8),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[359, 325])).
% 19.34/19.53 tff(361,plain,
% 19.34/19.53 (multiply(inverse(sk_c4), sk_c7) = multiply(sk_c8, sk_c7)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[360])).
% 19.34/19.53 tff(362,plain,
% 19.34/19.53 ((multiply(inverse(sk_c4), sk_c7) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[361])).
% 19.34/19.53 tff(363,plain,
% 19.34/19.53 ((multiply(inverse(sk_c4), sk_c7) = sk_c8) <=> (multiply(inverse(sk_c8), sk_c7) = sk_c8)),
% 19.34/19.53 inference(transitivity,[status(thm)],[362, 356])).
% 19.34/19.53 tff(364,plain,
% 19.34/19.53 ((~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) <=> (~(multiply(inverse(sk_c8), sk_c7) = sk_c8))),
% 19.34/19.53 inference(monotonicity,[status(thm)],[363])).
% 19.34/19.53 tff(365,plain,
% 19.34/19.53 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7),
% 19.34/19.53 inference(transitivity,[status(thm)],[334, 329])).
% 19.34/19.53 tff(366,plain,
% 19.34/19.53 (((inverse(sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 19.34/19.53 inference(rewrite,[status(thm)],[])).
% 19.34/19.53 tff(367,axiom,((inverse(sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_21')).
% 19.34/19.53 tff(368,plain,
% 19.34/19.53 ((inverse(sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 19.34/19.53 inference(modus_ponens,[status(thm)],[367, 366])).
% 19.34/19.53 tff(369,plain,
% 19.34/19.53 (multiply(sk_c4, sk_c7) = sk_c8),
% 19.34/19.53 inference(unit_resolution,[status(thm)],[368, 325])).
% 19.34/19.53 tff(370,plain,
% 19.34/19.53 (sk_c8 = sk_c7),
% 19.34/19.53 inference(transitivity,[status(thm)],[351, 348, 336, 334, 329])).
% 19.34/19.53 tff(371,plain,
% 19.34/19.53 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c7)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[370])).
% 19.34/19.53 tff(372,plain,
% 19.34/19.53 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c8)),
% 19.34/19.53 inference(monotonicity,[status(thm)],[360])).
% 19.34/19.53 tff(373,plain,
% 19.34/19.53 (multiply(sk_c4, inverse(sk_c4)) = sk_c8),
% 19.34/19.53 inference(transitivity,[status(thm)],[372, 371, 369])).
% 19.34/19.53 tff(374,plain,
% 19.34/19.53 (^[X6: $i, X4: $i, X3: $i, X1: $i] : refl(((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))))),
% 19.34/19.53 inference(bind,[status(th)],[])).
% 19.34/19.53 tff(375,plain,
% 19.34/19.53 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.53 inference(quant_intro,[status(thm)],[374])).
% 19.34/19.53 tff(376,plain,
% 19.34/19.53 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.53 inference(rewrite,[status(thm)],[])).
% 19.34/19.53 tff(377,plain,
% 19.34/19.53 (^[X6: $i, X4: $i, X3: $i, X1: $i] : rewrite(((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))))),
% 19.34/19.53 inference(bind,[status(th)],[])).
% 19.34/19.53 tff(378,plain,
% 19.34/19.53 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.54 inference(quant_intro,[status(thm)],[377])).
% 19.34/19.54 tff(379,plain,
% 19.34/19.54 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.54 inference(elim_unused_vars,[status(thm)],[])).
% 19.34/19.54 tff(380,plain,
% 19.34/19.54 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.54 inference(destructive_equality_resolution,[status(thm)],[])).
% 19.34/19.54 tff(381,plain,
% 19.34/19.54 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.54 inference(transitivity,[status(thm)],[380, 379])).
% 19.34/19.54 tff(382,plain,
% 19.34/19.54 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.54 inference(transitivity,[status(thm)],[381, 378])).
% 19.34/19.54 tff(383,plain,
% 19.34/19.54 (^[X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) <=> ((~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), ((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) <=> (((~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X5, sk_c7) = sk_c8))))), rewrite((((~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X5, sk_c7) = sk_c8))) <=> ((~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), ((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) <=> ((~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), (((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) <=> (((~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X6) = sk_c8))))), rewrite((((~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X6) = sk_c8))) <=> ((~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), (((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) <=> ((~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), ((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) <=> (((~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))))), rewrite((((~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) <=> ((~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), ((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) <=> ((~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), (((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) <=> (((~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))))), rewrite((((~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), (((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), ((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), ((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), (((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), (((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), ((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), ((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), (((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X3, sk_c8) = X2))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(multiply(X3, sk_c8) = X2))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), (((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))))), ((((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X3) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8))) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))), ((((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))))),
% 19.34/19.54 inference(bind,[status(th)],[])).
% 19.34/19.54 tff(384,plain,
% 19.34/19.54 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X5, sk_c7) = sk_c8)) | (~(inverse(X4) = X5)) | (~(multiply(X4, X5) = sk_c8)))),
% 19.34/19.54 inference(quant_intro,[status(thm)],[383])).
% 19.34/19.54 tff(385,plain,
% 19.34/19.54 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.54 inference(transitivity,[status(thm)],[384, 382])).
% 19.34/19.54 tff(386,axiom,(![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(X4, X5) = sk_c8)) | (~(inverse(X4) = X5))) | (~(multiply(X5, sk_c7) = sk_c8))) | (~(inverse(X6) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X2) = sk_c7))) | (~(multiply(X3, sk_c8) = X2))) | (~(inverse(X3) = sk_c8)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_31')).
% 19.34/19.54 tff(387,plain,
% 19.34/19.54 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.54 inference(modus_ponens,[status(thm)],[386, 385])).
% 19.34/19.54 tff(388,plain,
% 19.34/19.54 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.54 inference(modus_ponens,[status(thm)],[387, 376])).
% 19.34/19.54 tff(389,plain,(
% 19.34/19.54 ![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.54 inference(skolemize,[status(sab)],[388])).
% 19.34/19.54 tff(390,plain,
% 19.34/19.54 (![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))),
% 19.34/19.54 inference(modus_ponens,[status(thm)],[389, 375])).
% 19.34/19.54 tff(391,plain,
% 19.34/19.54 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)))),
% 19.34/19.54 inference(rewrite,[status(thm)],[])).
% 19.34/19.54 tff(392,plain,
% 19.34/19.54 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)))),
% 19.34/19.54 inference(rewrite,[status(thm)],[])).
% 19.34/19.54 tff(393,plain,
% 19.34/19.54 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7))))),
% 19.34/19.54 inference(monotonicity,[status(thm)],[392])).
% 19.34/19.54 tff(394,plain,
% 19.34/19.54 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)))),
% 19.34/19.55 inference(transitivity,[status(thm)],[393, 391])).
% 19.34/19.55 tff(395,plain,
% 19.34/19.55 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)))),
% 19.34/19.55 inference(quant_inst,[status(thm)],[])).
% 19.34/19.55 tff(396,plain,
% 19.34/19.55 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7))),
% 19.34/19.55 inference(modus_ponens,[status(thm)],[395, 394])).
% 19.34/19.55 tff(397,plain,
% 19.34/19.55 ((~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7))),
% 19.34/19.55 inference(unit_resolution,[status(thm)],[396, 323, 360, 369, 340, 390])).
% 19.34/19.55 tff(398,plain,
% 19.34/19.55 (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)),
% 19.34/19.55 inference(unit_resolution,[status(thm)],[397, 373, 365])).
% 19.34/19.55 tff(399,plain,
% 19.34/19.55 (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)),
% 19.34/19.55 inference(modus_ponens,[status(thm)],[398, 364])).
% 19.34/19.55 tff(400,plain,
% 19.34/19.55 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 19.34/19.55 inference(symmetry,[status(thm)],[348])).
% 19.34/19.55 tff(401,plain,
% 19.34/19.55 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 19.34/19.55 inference(symmetry,[status(thm)],[336])).
% 19.34/19.55 tff(402,plain,
% 19.34/19.55 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 19.34/19.55 inference(symmetry,[status(thm)],[334])).
% 19.34/19.55 tff(403,plain,
% 19.34/19.55 (multiply(multiply(identity, sk_c8), sk_c6) = multiply(sk_c8, sk_c6)),
% 19.34/19.55 inference(monotonicity,[status(thm)],[350])).
% 19.34/19.55 tff(404,plain,
% 19.34/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c8), sk_c6) = multiply(identity, multiply(sk_c8, sk_c6)))),
% 19.34/19.55 inference(quant_inst,[status(thm)],[])).
% 19.34/19.55 tff(405,plain,
% 19.34/19.55 (multiply(multiply(identity, sk_c8), sk_c6) = multiply(identity, multiply(sk_c8, sk_c6))),
% 19.34/19.55 inference(unit_resolution,[status(thm)],[404, 52])).
% 19.34/19.55 tff(406,plain,
% 19.34/19.55 (multiply(identity, multiply(sk_c8, sk_c6)) = multiply(multiply(identity, sk_c8), sk_c6)),
% 19.34/19.55 inference(symmetry,[status(thm)],[405])).
% 19.34/19.55 tff(407,plain,
% 19.34/19.55 (sk_c8 = multiply(sk_c8, sk_c6)),
% 19.34/19.55 inference(transitivity,[status(thm)],[351, 348, 336, 334])).
% 19.34/19.55 tff(408,plain,
% 19.34/19.55 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 19.34/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(409,plain,
% 19.38/19.55 (multiply(inverse(sk_c4), sk_c4) = identity),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[408, 96])).
% 19.38/19.55 tff(410,plain,
% 19.38/19.55 (sk_c8 = inverse(sk_c4)),
% 19.38/19.55 inference(symmetry,[status(thm)],[360])).
% 19.38/19.55 tff(411,plain,
% 19.38/19.55 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 19.38/19.55 inference(monotonicity,[status(thm)],[410])).
% 19.38/19.55 tff(412,plain,
% 19.38/19.55 (multiply(sk_c8, sk_c4) = identity),
% 19.38/19.55 inference(transitivity,[status(thm)],[411, 409])).
% 19.38/19.55 tff(413,plain,
% 19.38/19.55 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(identity, multiply(sk_c8, sk_c6))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[412, 407])).
% 19.38/19.55 tff(414,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(415,plain,
% 19.38/19.55 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[414, 52])).
% 19.38/19.55 tff(416,plain,
% 19.38/19.55 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 19.38/19.55 inference(symmetry,[status(thm)],[415])).
% 19.38/19.55 tff(417,plain,
% 19.38/19.55 (sk_c7 = multiply(sk_c8, sk_c6)),
% 19.38/19.55 inference(symmetry,[status(thm)],[329])).
% 19.38/19.55 tff(418,plain,
% 19.38/19.55 (sk_c7 = sk_c8),
% 19.38/19.55 inference(transitivity,[status(thm)],[417, 402, 401, 400, 350])).
% 19.38/19.55 tff(419,plain,
% 19.38/19.55 (multiply(sk_c7, multiply(sk_c4, sk_c8)) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[418])).
% 19.38/19.55 tff(420,plain,
% 19.38/19.55 (multiply(sk_c4, sk_c7) = multiply(sk_c4, sk_c8)),
% 19.38/19.55 inference(symmetry,[status(thm)],[371])).
% 19.38/19.55 tff(421,plain,
% 19.38/19.55 (sk_c8 = multiply(sk_c4, sk_c7)),
% 19.38/19.55 inference(symmetry,[status(thm)],[369])).
% 19.38/19.55 tff(422,plain,
% 19.38/19.55 (sk_c7 = multiply(sk_c4, sk_c8)),
% 19.38/19.55 inference(transitivity,[status(thm)],[417, 402, 401, 400, 350, 421, 420])).
% 19.38/19.55 tff(423,plain,
% 19.38/19.55 (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c8))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[323, 422])).
% 19.38/19.55 tff(424,plain,
% 19.38/19.55 (multiply(inverse(sk_c8), sk_c7) = sk_c8),
% 19.38/19.55 inference(transitivity,[status(thm)],[423, 419, 416, 413, 406, 403, 402, 401, 400, 350])).
% 19.38/19.55 tff(425,plain,
% 19.38/19.55 ($false),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[424, 399])).
% 19.38/19.55 tff(426,plain,(inverse(sk_c3) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 19.38/19.55 tff(427,plain,
% 19.38/19.55 (sk_c8 = inverse(sk_c3)),
% 19.38/19.55 inference(symmetry,[status(thm)],[426])).
% 19.38/19.55 tff(428,plain,
% 19.38/19.55 (((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 19.38/19.55 inference(rewrite,[status(thm)],[])).
% 19.38/19.55 tff(429,axiom,((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_16')).
% 19.38/19.55 tff(430,plain,
% 19.38/19.55 ((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 19.38/19.55 inference(modus_ponens,[status(thm)],[429, 428])).
% 19.38/19.55 tff(431,plain,
% 19.38/19.55 (multiply(sk_c2, sk_c7) = sk_c8),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[430, 15])).
% 19.38/19.55 tff(432,plain,
% 19.38/19.55 (multiply(sk_c2, inverse(sk_c8)) = multiply(sk_c2, sk_c7)),
% 19.38/19.55 inference(monotonicity,[status(thm)],[323])).
% 19.38/19.55 tff(433,plain,
% 19.38/19.55 (multiply(sk_c2, inverse(sk_c8)) = inverse(sk_c3)),
% 19.38/19.55 inference(transitivity,[status(thm)],[432, 431, 427])).
% 19.38/19.55 tff(434,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 19.38/19.55 inference(monotonicity,[status(thm)],[433])).
% 19.38/19.55 tff(435,plain,
% 19.38/19.55 (multiply(inverse(sk_c3), sk_c3) = multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3)),
% 19.38/19.55 inference(symmetry,[status(thm)],[434])).
% 19.38/19.55 tff(436,plain,
% 19.38/19.55 (identity = multiply(inverse(sk_c3), sk_c3)),
% 19.38/19.55 inference(symmetry,[status(thm)],[218])).
% 19.38/19.55 tff(437,plain,
% 19.38/19.55 (identity = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.55 inference(transitivity,[status(thm)],[436, 435, 54])).
% 19.38/19.55 tff(438,plain,
% 19.38/19.55 (multiply(identity, sk_c2) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[437, 45])).
% 19.38/19.55 tff(439,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(identity, sk_c2)),
% 19.38/19.55 inference(symmetry,[status(thm)],[438])).
% 19.38/19.55 tff(440,plain,
% 19.38/19.55 (multiply(sk_c2, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 19.38/19.55 inference(monotonicity,[status(thm)],[45])).
% 19.38/19.55 tff(441,plain,
% 19.38/19.55 (multiply(sk_c2, sk_c1) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.55 inference(transitivity,[status(thm)],[440, 98, 436, 435, 54])).
% 19.38/19.55 tff(442,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, sk_c1), sk_c2) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[441, 45])).
% 19.38/19.55 tff(443,plain,
% 19.38/19.55 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c1, sk_c2))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[32])).
% 19.38/19.55 tff(444,plain,
% 19.38/19.55 (multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)) = sk_c2),
% 19.38/19.55 inference(transitivity,[status(thm)],[24, 443, 197, 442, 439, 44])).
% 19.38/19.55 tff(445,plain,
% 19.38/19.55 (multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c1, sk_c2), sk_c2)),
% 19.38/19.55 inference(monotonicity,[status(thm)],[26, 444])).
% 19.38/19.55 tff(446,plain,
% 19.38/19.55 (multiply(multiply(sk_c1, sk_c2), sk_c2) = multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)))),
% 19.38/19.55 inference(symmetry,[status(thm)],[445])).
% 19.38/19.55 tff(447,plain,
% 19.38/19.55 (sk_c8 = multiply(sk_c2, sk_c7)),
% 19.38/19.55 inference(symmetry,[status(thm)],[431])).
% 19.38/19.55 tff(448,plain,
% 19.38/19.55 (multiply(sk_c1, sk_c2) = multiply(sk_c2, sk_c7)),
% 19.38/19.55 inference(transitivity,[status(thm)],[31, 447])).
% 19.38/19.55 tff(449,plain,
% 19.38/19.55 (multiply(multiply(sk_c1, sk_c2), sk_c2) = multiply(multiply(sk_c2, sk_c7), sk_c2)),
% 19.38/19.55 inference(monotonicity,[status(thm)],[448])).
% 19.38/19.55 tff(450,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, sk_c7), sk_c2) = multiply(multiply(sk_c1, sk_c2), sk_c2)),
% 19.38/19.55 inference(symmetry,[status(thm)],[449])).
% 19.38/19.55 tff(451,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), sk_c2) = multiply(sk_c2, multiply(sk_c7, sk_c2)))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(452,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, sk_c7), sk_c2) = multiply(sk_c2, multiply(sk_c7, sk_c2))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[451, 52])).
% 19.38/19.55 tff(453,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c2, sk_c7), sk_c2)),
% 19.38/19.55 inference(symmetry,[status(thm)],[452])).
% 19.38/19.55 tff(454,plain,
% 19.38/19.55 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(455,plain,
% 19.38/19.55 (multiply(identity, multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c3, inverse(sk_c1))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[454, 42])).
% 19.38/19.55 tff(456,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(457,plain,
% 19.38/19.55 (multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[456, 52])).
% 19.38/19.55 tff(458,plain,
% 19.38/19.55 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.38/19.55 inference(symmetry,[status(thm)],[457])).
% 19.38/19.55 tff(459,plain,
% 19.38/19.55 (multiply(sk_c2, sk_c7) = multiply(sk_c2, inverse(sk_c8))),
% 19.38/19.55 inference(symmetry,[status(thm)],[432])).
% 19.38/19.55 tff(460,plain,
% 19.38/19.55 (sk_c8 = multiply(sk_c2, inverse(sk_c8))),
% 19.38/19.55 inference(transitivity,[status(thm)],[447, 459])).
% 19.38/19.55 tff(461,plain,
% 19.38/19.55 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[323, 460])).
% 19.38/19.55 tff(462,plain,
% 19.38/19.55 (identity = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.38/19.55 inference(transitivity,[status(thm)],[167, 461, 458])).
% 19.38/19.55 tff(463,plain,
% 19.38/19.55 (multiply(identity, multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[462])).
% 19.38/19.55 tff(464,plain,
% 19.38/19.55 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1))) = multiply(identity, multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.55 inference(symmetry,[status(thm)],[463])).
% 19.38/19.55 tff(465,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3), inverse(sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(466,plain,
% 19.38/19.55 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3), inverse(sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[465, 52])).
% 19.38/19.55 tff(467,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(468,plain,
% 19.38/19.55 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[467, 52])).
% 19.38/19.55 tff(469,plain,
% 19.38/19.55 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3), inverse(sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[468])).
% 19.38/19.55 tff(470,plain,
% 19.38/19.55 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3), inverse(sk_c1))),
% 19.38/19.55 inference(symmetry,[status(thm)],[469])).
% 19.38/19.55 tff(471,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(472,plain,
% 19.38/19.55 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[471, 52])).
% 19.38/19.55 tff(473,plain,
% 19.38/19.55 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.55 inference(symmetry,[status(thm)],[472])).
% 19.38/19.55 tff(474,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)) = multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(475,plain,
% 19.38/19.55 (multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)) = multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[474, 52])).
% 19.38/19.55 tff(476,plain,
% 19.38/19.55 (multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))),
% 19.38/19.55 inference(symmetry,[status(thm)],[475])).
% 19.38/19.55 tff(477,plain,
% 19.38/19.55 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[476])).
% 19.38/19.55 tff(478,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(479,plain,
% 19.38/19.55 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[478, 52])).
% 19.38/19.55 tff(480,plain,
% 19.38/19.55 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.55 inference(symmetry,[status(thm)],[479])).
% 19.38/19.55 tff(481,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[476])).
% 19.38/19.55 tff(482,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.55 inference(symmetry,[status(thm)],[481])).
% 19.38/19.55 tff(483,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(484,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[483, 52])).
% 19.38/19.55 tff(485,plain,
% 19.38/19.55 (sk_c2 = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.55 inference(transitivity,[status(thm)],[102, 438, 484, 482])).
% 19.38/19.55 tff(486,plain,
% 19.38/19.55 (multiply(sk_c7, sk_c2) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[485])).
% 19.38/19.55 tff(487,plain,
% 19.38/19.55 (multiply(sk_c7, sk_c2) = multiply(sk_c3, inverse(sk_c1))),
% 19.38/19.55 inference(transitivity,[status(thm)],[486, 480, 477, 473, 470, 466, 464, 455])).
% 19.38/19.55 tff(488,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(sk_c7, sk_c2)) = multiply(sk_c2, multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[487])).
% 19.38/19.55 tff(489,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c2, multiply(sk_c7, sk_c2))),
% 19.38/19.55 inference(symmetry,[status(thm)],[488])).
% 19.38/19.55 tff(490,plain,
% 19.38/19.55 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3), inverse(sk_c1))),
% 19.38/19.55 inference(symmetry,[status(thm)],[466])).
% 19.38/19.55 tff(491,plain,
% 19.38/19.55 (multiply(sk_c3, inverse(sk_c1)) = multiply(identity, multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.55 inference(symmetry,[status(thm)],[455])).
% 19.38/19.55 tff(492,plain,
% 19.38/19.55 (multiply(sk_c3, inverse(sk_c1)) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.38/19.55 inference(transitivity,[status(thm)],[491, 463, 490, 469, 472])).
% 19.38/19.55 tff(493,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.55 inference(symmetry,[status(thm)],[484])).
% 19.38/19.55 tff(494,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = sk_c2),
% 19.38/19.55 inference(transitivity,[status(thm)],[481, 493, 439, 44])).
% 19.38/19.55 tff(495,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8) = multiply(sk_c2, sk_c8)),
% 19.38/19.55 inference(monotonicity,[status(thm)],[494])).
% 19.38/19.55 tff(496,plain,
% 19.38/19.55 (multiply(sk_c2, sk_c8) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8)),
% 19.38/19.55 inference(symmetry,[status(thm)],[495])).
% 19.38/19.55 tff(497,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(sk_c1, sk_c2)) = multiply(sk_c2, sk_c8)),
% 19.38/19.55 inference(symmetry,[status(thm)],[443])).
% 19.38/19.55 tff(498,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(sk_c2, sk_c1), sk_c2)),
% 19.38/19.55 inference(symmetry,[status(thm)],[442])).
% 19.38/19.55 tff(499,plain,
% 19.38/19.55 (sk_c2 = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8)),
% 19.38/19.55 inference(transitivity,[status(thm)],[102, 438, 498, 86, 497, 496])).
% 19.38/19.55 tff(500,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[499, 492])).
% 19.38/19.55 tff(501,plain,
% 19.38/19.55 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(sk_c2, multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.55 inference(symmetry,[status(thm)],[500])).
% 19.38/19.55 tff(502,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(503,plain,
% 19.38/19.55 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[502, 52])).
% 19.38/19.55 tff(504,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))),
% 19.38/19.55 inference(symmetry,[status(thm)],[503])).
% 19.38/19.55 tff(505,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(506,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[505, 52])).
% 19.38/19.55 tff(507,plain,
% 19.38/19.55 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(sk_c3, inverse(sk_c1))),
% 19.38/19.55 inference(transitivity,[status(thm)],[473, 470, 466, 464, 455])).
% 19.38/19.55 tff(508,plain,
% 19.38/19.55 (multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[460, 507])).
% 19.38/19.55 tff(509,plain,
% 19.38/19.55 (multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = sk_c2),
% 19.38/19.55 inference(transitivity,[status(thm)],[508, 506, 481, 493, 439, 44])).
% 19.38/19.55 tff(510,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))) = multiply(sk_c2, sk_c2)),
% 19.38/19.55 inference(monotonicity,[status(thm)],[494, 509])).
% 19.38/19.55 tff(511,plain,
% 19.38/19.55 (multiply(sk_c2, sk_c2) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))))),
% 19.38/19.55 inference(symmetry,[status(thm)],[510])).
% 19.38/19.55 tff(512,plain,
% 19.38/19.55 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c2, sk_c2)) = multiply(sk_c2, sk_c2))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(513,plain,
% 19.38/19.55 (multiply(identity, multiply(sk_c2, sk_c2)) = multiply(sk_c2, sk_c2)),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[512, 42])).
% 19.38/19.55 tff(514,plain,
% 19.38/19.55 (multiply(inverse(sk_c1), inverse(sk_c1)) = multiply(sk_c2, sk_c2)),
% 19.38/19.55 inference(monotonicity,[status(thm)],[23, 23])).
% 19.38/19.55 tff(515,plain,
% 19.38/19.55 (multiply(sk_c2, sk_c2) = multiply(inverse(sk_c1), inverse(sk_c1))),
% 19.38/19.55 inference(symmetry,[status(thm)],[514])).
% 19.38/19.55 tff(516,plain,
% 19.38/19.55 (multiply(identity, multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[437, 515])).
% 19.38/19.55 tff(517,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(identity, multiply(sk_c2, sk_c2))),
% 19.38/19.55 inference(symmetry,[status(thm)],[516])).
% 19.38/19.55 tff(518,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, sk_c1), multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[441, 515])).
% 19.38/19.55 tff(519,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c1), multiply(sk_c2, sk_c2)) = multiply(sk_c2, multiply(sk_c1, multiply(sk_c2, sk_c2))))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(520,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, sk_c1), multiply(sk_c2, sk_c2)) = multiply(sk_c2, multiply(sk_c1, multiply(sk_c2, sk_c2)))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[519, 52])).
% 19.38/19.55 tff(521,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(sk_c1, multiply(sk_c2, sk_c2))) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c2, sk_c2))),
% 19.38/19.55 inference(symmetry,[status(thm)],[520])).
% 19.38/19.55 tff(522,plain,
% 19.38/19.55 (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), multiply(sk_c3, sk_c7))),
% 19.38/19.55 inference(monotonicity,[status(thm)],[133])).
% 19.38/19.55 tff(523,plain,
% 19.38/19.55 (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)) = multiply(sk_c1, multiply(sk_c2, sk_c2))),
% 19.38/19.55 inference(transitivity,[status(thm)],[522, 109, 445, 125])).
% 19.38/19.55 tff(524,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(sk_c2, sk_c7)) = multiply(sk_c2, sk_c8)),
% 19.38/19.55 inference(monotonicity,[status(thm)],[431])).
% 19.38/19.55 tff(525,plain,
% 19.38/19.55 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.55 inference(quant_inst,[status(thm)],[])).
% 19.38/19.55 tff(526,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.55 inference(unit_resolution,[status(thm)],[525, 52])).
% 19.38/19.55 tff(527,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.55 inference(symmetry,[status(thm)],[526])).
% 19.38/19.55 tff(528,plain,
% 19.38/19.55 (multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c2, sk_c2)),
% 19.38/19.55 inference(transitivity,[status(thm)],[527, 517, 513])).
% 19.38/19.55 tff(529,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7) = multiply(multiply(sk_c2, sk_c2), sk_c7)),
% 19.38/19.55 inference(monotonicity,[status(thm)],[528])).
% 19.38/19.55 tff(530,plain,
% 19.38/19.55 (multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7) = sk_c2),
% 19.38/19.55 inference(transitivity,[status(thm)],[529, 186, 524, 443, 197, 442, 439, 44])).
% 19.38/19.55 tff(531,plain,
% 19.38/19.55 (multiply(multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7), multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))) = multiply(sk_c2, multiply(sk_c1, multiply(sk_c2, sk_c2)))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[530, 523])).
% 19.38/19.56 tff(532,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7), multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(533,plain,
% 19.38/19.56 (multiply(multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7), multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[532, 52])).
% 19.38/19.56 tff(534,plain,
% 19.38/19.56 (multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))) = multiply(multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7), multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))),
% 19.38/19.56 inference(symmetry,[status(thm)],[533])).
% 19.38/19.56 tff(535,plain,
% 19.38/19.56 (multiply(sk_c8, sk_c2) = multiply(multiply(sk_c1, sk_c2), sk_c2)),
% 19.38/19.56 inference(monotonicity,[status(thm)],[32])).
% 19.38/19.56 tff(536,plain,
% 19.38/19.56 (multiply(multiply(sk_c1, sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 19.38/19.56 inference(symmetry,[status(thm)],[535])).
% 19.38/19.56 tff(537,plain,
% 19.38/19.56 (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)) = multiply(sk_c8, sk_c2)),
% 19.38/19.56 inference(transitivity,[status(thm)],[522, 109, 445, 536])).
% 19.38/19.56 tff(538,plain,
% 19.38/19.56 (multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))) = multiply(sk_c7, multiply(sk_c8, sk_c2))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[537])).
% 19.38/19.56 tff(539,plain,
% 19.38/19.56 (multiply(sk_c7, multiply(sk_c8, sk_c2)) = multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))),
% 19.38/19.56 inference(symmetry,[status(thm)],[538])).
% 19.38/19.56 tff(540,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c2) = multiply(sk_c7, multiply(sk_c8, sk_c2)))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(541,plain,
% 19.38/19.56 (multiply(multiply(sk_c7, sk_c8), sk_c2) = multiply(sk_c7, multiply(sk_c8, sk_c2))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[540, 52])).
% 19.38/19.56 tff(542,plain,
% 19.38/19.56 (multiply(sk_c7, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 19.38/19.56 inference(monotonicity,[status(thm)],[324])).
% 19.38/19.56 tff(543,plain,
% 19.38/19.56 (multiply(sk_c7, sk_c8) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.56 inference(transitivity,[status(thm)],[542, 166, 436, 435, 54])).
% 19.38/19.56 tff(544,plain,
% 19.38/19.56 (multiply(multiply(sk_c7, sk_c8), sk_c2) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[543, 45])).
% 19.38/19.56 tff(545,plain,
% 19.38/19.56 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(sk_c7, sk_c8), sk_c2)),
% 19.38/19.56 inference(symmetry,[status(thm)],[544])).
% 19.38/19.56 tff(546,plain,
% 19.38/19.56 (inverse(sk_c1) = multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))),
% 19.38/19.56 inference(transitivity,[status(thm)],[23, 102, 438, 545, 541, 539])).
% 19.38/19.56 tff(547,plain,
% 19.38/19.56 (multiply(sk_c2, sk_c2) = multiply(identity, multiply(sk_c2, sk_c2))),
% 19.38/19.56 inference(symmetry,[status(thm)],[513])).
% 19.38/19.56 tff(548,plain,
% 19.38/19.56 (multiply(inverse(sk_c1), inverse(sk_c1)) = multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(transitivity,[status(thm)],[514, 547, 516, 526])).
% 19.38/19.56 tff(549,plain,
% 19.38/19.56 (multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)) = multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[548, 546])).
% 19.38/19.56 tff(550,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)) = multiply(inverse(sk_c1), multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(551,plain,
% 19.38/19.56 (multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)) = multiply(inverse(sk_c1), multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[550, 52])).
% 19.38/19.56 tff(552,plain,
% 19.38/19.56 (multiply(inverse(sk_c1), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))),
% 19.38/19.56 inference(symmetry,[status(thm)],[551])).
% 19.38/19.56 tff(553,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(554,plain,
% 19.38/19.56 (multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[553, 52])).
% 19.38/19.56 tff(555,plain,
% 19.38/19.56 (multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.56 inference(symmetry,[status(thm)],[554])).
% 19.38/19.56 tff(556,plain,
% 19.38/19.56 (multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[555])).
% 19.38/19.56 tff(557,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(558,plain,
% 19.38/19.56 (multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[557, 52])).
% 19.38/19.56 tff(559,plain,
% 19.38/19.56 (multiply(sk_c1, sk_c2) = multiply(sk_c2, inverse(sk_c8))),
% 19.38/19.56 inference(transitivity,[status(thm)],[31, 447, 459])).
% 19.38/19.56 tff(560,plain,
% 19.38/19.56 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[559])).
% 19.38/19.56 tff(561,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c1, multiply(sk_c2, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(562,plain,
% 19.38/19.56 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c1, multiply(sk_c2, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[561, 52])).
% 19.38/19.56 tff(563,plain,
% 19.38/19.56 (multiply(sk_c1, multiply(sk_c2, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(symmetry,[status(thm)],[562])).
% 19.38/19.56 tff(564,plain,
% 19.38/19.56 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(565,plain,
% 19.38/19.56 (multiply(identity, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[564, 42])).
% 19.38/19.56 tff(566,plain,
% 19.38/19.56 (multiply(identity, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[462])).
% 19.38/19.56 tff(567,plain,
% 19.38/19.56 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(identity, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(symmetry,[status(thm)],[566])).
% 19.38/19.56 tff(568,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(569,plain,
% 19.38/19.56 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[568, 52])).
% 19.38/19.56 tff(570,plain,
% 19.38/19.56 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(symmetry,[status(thm)],[569])).
% 19.38/19.56 tff(571,plain,
% 19.38/19.56 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[555])).
% 19.38/19.56 tff(572,plain,
% 19.38/19.56 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.56 inference(symmetry,[status(thm)],[571])).
% 19.38/19.56 tff(573,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c7, multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(574,plain,
% 19.38/19.56 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c7, multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[573, 52])).
% 19.38/19.56 tff(575,plain,
% 19.38/19.56 (multiply(sk_c7, multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(symmetry,[status(thm)],[574])).
% 19.38/19.56 tff(576,plain,
% 19.38/19.56 (multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(sk_c7, multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[548])).
% 19.38/19.56 tff(577,plain,
% 19.38/19.56 (multiply(sk_c7, multiply(sk_c2, sk_c2)) = multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[515])).
% 19.38/19.56 tff(578,plain,
% 19.38/19.56 (multiply(sk_c7, multiply(sk_c2, sk_c2)) = multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.56 inference(transitivity,[status(thm)],[577, 576, 575, 572, 570, 567, 565])).
% 19.38/19.56 tff(579,plain,
% 19.38/19.56 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c2))) = multiply(sk_c2, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[578])).
% 19.38/19.56 tff(580,plain,
% 19.38/19.56 (multiply(sk_c1, inverse(sk_c1)) = multiply(sk_c2, sk_c7)),
% 19.38/19.56 inference(transitivity,[status(thm)],[26, 31, 447])).
% 19.38/19.56 tff(581,plain,
% 19.38/19.56 (multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c2))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[580, 514])).
% 19.38/19.56 tff(582,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), inverse(sk_c1)) = multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(583,plain,
% 19.38/19.56 (multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), inverse(sk_c1)) = multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[582, 52])).
% 19.38/19.56 tff(584,plain,
% 19.38/19.56 (multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))) = multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), inverse(sk_c1))),
% 19.38/19.56 inference(symmetry,[status(thm)],[583])).
% 19.38/19.56 tff(585,plain,
% 19.38/19.56 (multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))) = multiply(sk_c2, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(transitivity,[status(thm)],[584, 134, 137, 581, 144, 579])).
% 19.38/19.56 tff(586,plain,
% 19.38/19.56 (multiply(sk_c1, multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)))) = multiply(sk_c1, multiply(sk_c2, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[585])).
% 19.38/19.56 tff(587,plain,
% 19.38/19.56 (multiply(sk_c1, multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)))) = multiply(inverse(sk_c1), inverse(sk_c1))),
% 19.38/19.56 inference(transitivity,[status(thm)],[586, 563, 560, 558, 556, 527, 517, 513, 515])).
% 19.38/19.56 tff(588,plain,
% 19.38/19.56 (multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = inverse(sk_c1)),
% 19.38/19.56 inference(transitivity,[status(thm)],[481, 493, 439, 44, 45])).
% 19.38/19.56 tff(589,plain,
% 19.38/19.56 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))))) = multiply(inverse(sk_c1), multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[588, 587])).
% 19.38/19.56 tff(590,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1), multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(591,plain,
% 19.38/19.56 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1), multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)))))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[590, 52])).
% 19.38/19.56 tff(592,plain,
% 19.38/19.56 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 19.38/19.56 inference(monotonicity,[status(thm)],[588])).
% 19.38/19.56 tff(593,plain,
% 19.38/19.56 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)),
% 19.38/19.56 inference(symmetry,[status(thm)],[592])).
% 19.38/19.56 tff(594,plain,
% 19.38/19.56 (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)),
% 19.38/19.56 inference(transitivity,[status(thm)],[542, 166, 99, 593])).
% 19.38/19.56 tff(595,plain,
% 19.38/19.56 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)))) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1), multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[594])).
% 19.38/19.56 tff(596,plain,
% 19.38/19.56 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.56 inference(symmetry,[status(thm)],[581])).
% 19.38/19.56 tff(597,plain,
% 19.38/19.56 (multiply(sk_c2, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c2)))),
% 19.38/19.56 inference(symmetry,[status(thm)],[579])).
% 19.38/19.56 tff(598,plain,
% 19.38/19.56 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.56 inference(transitivity,[status(thm)],[572, 570, 567, 565])).
% 19.38/19.56 tff(599,plain,
% 19.38/19.56 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(sk_c2, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[494, 598])).
% 19.38/19.56 tff(600,plain,
% 19.38/19.56 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)))),
% 19.38/19.56 inference(transitivity,[status(thm)],[599, 597, 145, 596, 138, 135, 583])).
% 19.38/19.56 tff(601,plain,
% 19.38/19.56 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 19.38/19.56 inference(symmetry,[status(thm)],[542])).
% 19.38/19.56 tff(602,plain,
% 19.38/19.56 (identity = multiply(sk_c7, sk_c8)),
% 19.38/19.56 inference(transitivity,[status(thm)],[167, 601])).
% 19.38/19.56 tff(603,plain,
% 19.38/19.56 (multiply(identity, multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[602, 600])).
% 19.38/19.56 tff(604,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(identity, multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(605,plain,
% 19.38/19.56 (multiply(multiply(identity, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(identity, multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[604, 52])).
% 19.38/19.56 tff(606,plain,
% 19.38/19.56 (multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(identity, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(symmetry,[status(thm)],[565])).
% 19.38/19.56 tff(607,plain,
% 19.38/19.56 (multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(transitivity,[status(thm)],[606, 566, 569, 571])).
% 19.38/19.56 tff(608,plain,
% 19.38/19.56 (multiply(identity, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[437, 588])).
% 19.38/19.56 tff(609,plain,
% 19.38/19.56 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(identity, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.56 inference(symmetry,[status(thm)],[608])).
% 19.38/19.56 tff(610,plain,
% 19.38/19.56 (sk_c2 = multiply(identity, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.56 inference(transitivity,[status(thm)],[102, 438, 609])).
% 19.38/19.56 tff(611,plain,
% 19.38/19.56 (multiply(sk_c2, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(multiply(identity, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[610, 607])).
% 19.38/19.56 tff(612,plain,
% 19.38/19.56 (multiply(sk_c3, sk_c7) = multiply(sk_c1, inverse(sk_c1))),
% 19.38/19.56 inference(transitivity,[status(thm)],[19, 32, 27])).
% 19.38/19.56 tff(613,plain,
% 19.38/19.56 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[612, 515])).
% 19.38/19.56 tff(614,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), multiply(sk_c2, sk_c2)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c2, sk_c2))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(615,plain,
% 19.38/19.56 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c2, sk_c2)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c2, sk_c2)))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[614, 52])).
% 19.38/19.56 tff(616,plain,
% 19.38/19.56 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c2, sk_c2))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c2, sk_c2))),
% 19.38/19.56 inference(symmetry,[status(thm)],[615])).
% 19.38/19.56 tff(617,plain,
% 19.38/19.56 (multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(sk_c7, multiply(sk_c2, sk_c2))),
% 19.38/19.56 inference(symmetry,[status(thm)],[577])).
% 19.38/19.56 tff(618,plain,
% 19.38/19.56 (multiply(sk_c7, multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(sk_c7, multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.56 inference(symmetry,[status(thm)],[576])).
% 19.38/19.56 tff(619,plain,
% 19.38/19.56 (multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(sk_c7, multiply(sk_c2, sk_c2))),
% 19.38/19.56 inference(transitivity,[status(thm)],[606, 566, 569, 571, 574, 618, 617])).
% 19.38/19.56 tff(620,plain,
% 19.38/19.56 (multiply(sk_c3, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c2, sk_c2)))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[619])).
% 19.38/19.56 tff(621,plain,
% 19.38/19.56 (multiply(identity, sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.38/19.56 inference(monotonicity,[status(thm)],[462])).
% 19.38/19.56 tff(622,plain,
% 19.38/19.56 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(identity, sk_c3)),
% 19.38/19.56 inference(symmetry,[status(thm)],[621])).
% 19.38/19.56 tff(623,plain,
% 19.38/19.56 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.38/19.56 inference(symmetry,[status(thm)],[468])).
% 19.38/19.56 tff(624,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(625,plain,
% 19.38/19.56 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[624, 52])).
% 19.38/19.56 tff(626,plain,
% 19.38/19.56 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.56 inference(symmetry,[status(thm)],[625])).
% 19.38/19.56 tff(627,plain,
% 19.38/19.56 (multiply(sk_c7, multiply(sk_c7, sk_c8)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[543])).
% 19.38/19.56 tff(628,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c8)))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(629,plain,
% 19.38/19.56 (multiply(multiply(sk_c7, sk_c7), sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c8))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[628, 52])).
% 19.38/19.56 tff(630,plain,
% 19.38/19.56 (multiply(sk_c7, sk_c7) = multiply(inverse(sk_c8), sk_c7)),
% 19.38/19.56 inference(monotonicity,[status(thm)],[324])).
% 19.38/19.56 tff(631,plain,
% 19.38/19.56 (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c7, sk_c7)),
% 19.38/19.56 inference(symmetry,[status(thm)],[630])).
% 19.38/19.56 tff(632,plain,
% 19.38/19.56 (multiply(multiply(inverse(sk_c8), sk_c7), sk_c8) = multiply(multiply(sk_c7, sk_c7), sk_c8)),
% 19.38/19.56 inference(monotonicity,[status(thm)],[631])).
% 19.38/19.56 tff(633,plain,
% 19.38/19.56 (multiply(multiply(inverse(sk_c8), sk_c7), sk_c8) = sk_c3),
% 19.38/19.56 inference(transitivity,[status(thm)],[632, 629, 627, 626, 623, 622, 61])).
% 19.38/19.56 tff(634,plain,
% 19.38/19.56 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c8), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(sk_c3, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[633, 598])).
% 19.38/19.56 tff(635,plain,
% 19.38/19.56 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c8), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))))),
% 19.38/19.56 inference(quant_inst,[status(thm)],[])).
% 19.38/19.56 tff(636,plain,
% 19.38/19.56 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c8), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))))),
% 19.38/19.56 inference(unit_resolution,[status(thm)],[635, 52])).
% 19.38/19.56 tff(637,plain,
% 19.38/19.56 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c8), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.56 inference(symmetry,[status(thm)],[636])).
% 19.38/19.56 tff(638,plain,
% 19.38/19.56 (multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.56 inference(monotonicity,[status(thm)],[460, 598])).
% 19.38/19.56 tff(639,plain,
% 19.38/19.56 (multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.57 inference(symmetry,[status(thm)],[638])).
% 19.38/19.57 tff(640,plain,
% 19.38/19.57 (multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.57 inference(symmetry,[status(thm)],[558])).
% 19.38/19.57 tff(641,plain,
% 19.38/19.57 (multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.57 inference(symmetry,[status(thm)],[556])).
% 19.38/19.57 tff(642,plain,
% 19.38/19.57 (multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.57 inference(transitivity,[status(thm)],[641, 640, 639])).
% 19.38/19.57 tff(643,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[630, 642])).
% 19.38/19.57 tff(644,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(645,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[644, 52])).
% 19.38/19.57 tff(646,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.57 inference(symmetry,[status(thm)],[645])).
% 19.38/19.57 tff(647,plain,
% 19.38/19.57 (multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(sk_c7, multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.57 inference(transitivity,[status(thm)],[606, 566, 569, 571, 574])).
% 19.38/19.57 tff(648,plain,
% 19.38/19.57 (multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[323, 647])).
% 19.38/19.57 tff(649,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)), inverse(sk_c1)) = multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(650,plain,
% 19.38/19.57 (multiply(multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)), inverse(sk_c1)) = multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[649, 52])).
% 19.38/19.57 tff(651,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c7, sk_c8), sk_c2)),
% 19.38/19.57 inference(symmetry,[status(thm)],[541])).
% 19.38/19.57 tff(652,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))) = inverse(sk_c1)),
% 19.38/19.57 inference(transitivity,[status(thm)],[538, 651, 544, 439, 44, 45])).
% 19.38/19.57 tff(653,plain,
% 19.38/19.57 (multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)), inverse(sk_c1))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[476, 652])).
% 19.38/19.57 tff(654,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c7), multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(655,plain,
% 19.38/19.57 (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c7), multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[654, 52])).
% 19.38/19.57 tff(656,plain,
% 19.38/19.57 (multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))),
% 19.38/19.57 inference(symmetry,[status(thm)],[522])).
% 19.38/19.57 tff(657,plain,
% 19.38/19.57 (multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))) = multiply(multiply(multiply(sk_c1, inverse(sk_c1)), inverse(sk_c1)), multiply(sk_c3, sk_c7))),
% 19.38/19.57 inference(symmetry,[status(thm)],[109])).
% 19.38/19.57 tff(658,plain,
% 19.38/19.57 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(sk_c2, multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[494, 507])).
% 19.38/19.57 tff(659,plain,
% 19.38/19.57 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))),
% 19.38/19.57 inference(transitivity,[status(thm)],[658, 489, 453, 450, 446, 657, 656])).
% 19.38/19.57 tff(660,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(sk_c7, sk_c2)) = multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[324, 487])).
% 19.38/19.57 tff(661,plain,
% 19.38/19.57 (multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c7, multiply(sk_c7, sk_c2))),
% 19.38/19.57 inference(symmetry,[status(thm)],[660])).
% 19.38/19.57 tff(662,plain,
% 19.38/19.57 (multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c2)), sk_c7)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[661])).
% 19.38/19.57 tff(663,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c2)), sk_c7) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c7)),
% 19.38/19.57 inference(symmetry,[status(thm)],[662])).
% 19.38/19.57 tff(664,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), sk_c7)))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(665,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, multiply(sk_c7, sk_c2)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), sk_c7))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[664, 52])).
% 19.38/19.57 tff(666,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c7, sk_c2)), sk_c7)),
% 19.38/19.57 inference(symmetry,[status(thm)],[665])).
% 19.38/19.57 tff(667,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(inverse(sk_c8), sk_c8)),
% 19.38/19.57 inference(symmetry,[status(thm)],[461])).
% 19.38/19.57 tff(668,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[324])).
% 19.38/19.57 tff(669,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.57 inference(transitivity,[status(thm)],[668, 457, 667, 166, 436, 435, 54])).
% 19.38/19.57 tff(670,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), sk_c7)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[669])).
% 19.38/19.57 tff(671,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), sk_c7))),
% 19.38/19.57 inference(symmetry,[status(thm)],[670])).
% 19.38/19.57 tff(672,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c7)),
% 19.38/19.57 inference(transitivity,[status(thm)],[625, 671, 666, 663])).
% 19.38/19.57 tff(673,plain,
% 19.38/19.57 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))) = multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c7), multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[672, 659])).
% 19.38/19.57 tff(674,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(675,plain,
% 19.38/19.57 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[674, 52])).
% 19.38/19.57 tff(676,plain,
% 19.38/19.57 (multiply(sk_c7, sk_c2) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.38/19.57 inference(transitivity,[status(thm)],[486, 480, 477])).
% 19.38/19.57 tff(677,plain,
% 19.38/19.57 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[588])).
% 19.38/19.57 tff(678,plain,
% 19.38/19.57 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.57 inference(symmetry,[status(thm)],[677])).
% 19.38/19.57 tff(679,plain,
% 19.38/19.57 (multiply(sk_c7, sk_c2) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.57 inference(transitivity,[status(thm)],[486, 480, 477, 473, 678])).
% 19.38/19.57 tff(680,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, sk_c2), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[679, 676])).
% 19.38/19.57 tff(681,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c2), sk_c7), sk_c2) = multiply(multiply(sk_c7, sk_c2), multiply(sk_c7, sk_c2)))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(682,plain,
% 19.38/19.57 (multiply(multiply(multiply(sk_c7, sk_c2), sk_c7), sk_c2) = multiply(multiply(sk_c7, sk_c2), multiply(sk_c7, sk_c2))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[681, 52])).
% 19.38/19.57 tff(683,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 19.38/19.57 inference(symmetry,[status(thm)],[668])).
% 19.38/19.57 tff(684,plain,
% 19.38/19.57 (multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3)),
% 19.38/19.57 inference(symmetry,[status(thm)],[54])).
% 19.38/19.57 tff(685,plain,
% 19.38/19.57 (multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 19.38/19.57 inference(transitivity,[status(thm)],[684, 434, 218, 167, 461, 458, 683])).
% 19.38/19.57 tff(686,plain,
% 19.38/19.57 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), sk_c7), sk_c2)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[685, 23])).
% 19.38/19.57 tff(687,plain,
% 19.38/19.57 (multiply(sk_c3, sk_c7) = multiply(sk_c2, inverse(sk_c8))),
% 19.38/19.57 inference(transitivity,[status(thm)],[19, 447, 459])).
% 19.38/19.57 tff(688,plain,
% 19.38/19.57 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[687])).
% 19.38/19.57 tff(689,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(690,plain,
% 19.38/19.57 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[689, 52])).
% 19.38/19.57 tff(691,plain,
% 19.38/19.57 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c1)))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.57 inference(symmetry,[status(thm)],[690])).
% 19.38/19.57 tff(692,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(sk_c3, inverse(sk_c1))) = multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[324])).
% 19.38/19.57 tff(693,plain,
% 19.38/19.57 (multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c7, multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.57 inference(symmetry,[status(thm)],[692])).
% 19.38/19.57 tff(694,plain,
% 19.38/19.57 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(695,plain,
% 19.38/19.57 (multiply(inverse(sk_c2), sk_c2) = identity),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[694, 96])).
% 19.38/19.57 tff(696,plain,
% 19.38/19.57 (identity = multiply(inverse(sk_c2), sk_c2)),
% 19.38/19.57 inference(symmetry,[status(thm)],[695])).
% 19.38/19.57 tff(697,plain,
% 19.38/19.57 (multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)) = multiply(inverse(sk_c2), sk_c2)),
% 19.38/19.57 inference(transitivity,[status(thm)],[684, 434, 218, 696])).
% 19.38/19.57 tff(698,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(inverse(sk_c2), sk_c2))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[697])).
% 19.38/19.57 tff(699,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(inverse(sk_c2), sk_c2)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.57 inference(symmetry,[status(thm)],[698])).
% 19.38/19.57 tff(700,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2) = multiply(sk_c7, multiply(inverse(sk_c2), sk_c2)))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(701,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2) = multiply(sk_c7, multiply(inverse(sk_c2), sk_c2))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[700, 52])).
% 19.38/19.57 tff(702,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[494])).
% 19.38/19.57 tff(703,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = sk_c3),
% 19.38/19.57 inference(transitivity,[status(thm)],[702, 701, 699, 626, 623, 622, 61])).
% 19.38/19.57 tff(704,plain,
% 19.38/19.57 (multiply(multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[703, 693])).
% 19.38/19.57 tff(705,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(706,plain,
% 19.38/19.57 (multiply(multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[705, 52])).
% 19.38/19.57 tff(707,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.57 inference(symmetry,[status(thm)],[706])).
% 19.38/19.57 tff(708,plain,
% 19.38/19.57 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[494, 476])).
% 19.38/19.57 tff(709,plain,
% 19.38/19.57 (multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.57 inference(symmetry,[status(thm)],[708])).
% 19.38/19.57 tff(710,plain,
% 19.38/19.57 (sk_c2 = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.57 inference(transitivity,[status(thm)],[102, 438, 484, 709])).
% 19.38/19.57 tff(711,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.57 inference(monotonicity,[status(thm)],[710])).
% 19.38/19.57 tff(712,plain,
% 19.38/19.57 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8) = sk_c2),
% 19.38/19.57 inference(transitivity,[status(thm)],[495, 443, 197, 442, 439, 44])).
% 19.38/19.57 tff(713,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8)) = multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[712])).
% 19.38/19.57 tff(714,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c8) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8)))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(715,plain,
% 19.38/19.57 (multiply(multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c8) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[714, 52])).
% 19.38/19.57 tff(716,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.57 inference(symmetry,[status(thm)],[702])).
% 19.38/19.57 tff(717,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(inverse(sk_c2), sk_c2)) = multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)),
% 19.38/19.57 inference(symmetry,[status(thm)],[701])).
% 19.38/19.57 tff(718,plain,
% 19.38/19.57 (sk_c3 = multiply(identity, sk_c3)),
% 19.38/19.57 inference(symmetry,[status(thm)],[61])).
% 19.38/19.57 tff(719,plain,
% 19.38/19.57 (sk_c3 = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.57 inference(transitivity,[status(thm)],[718, 621, 468, 625, 698, 717, 716])).
% 19.38/19.57 tff(720,plain,
% 19.38/19.57 (multiply(sk_c3, sk_c8) = multiply(multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c8)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[719])).
% 19.38/19.57 tff(721,plain,
% 19.38/19.57 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7) = multiply(sk_c2, sk_c7)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[494])).
% 19.38/19.57 tff(722,plain,
% 19.38/19.57 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7) = sk_c8),
% 19.38/19.57 inference(transitivity,[status(thm)],[721, 431])).
% 19.38/19.57 tff(723,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = sk_c3),
% 19.38/19.57 inference(transitivity,[status(thm)],[623, 622, 61])).
% 19.38/19.57 tff(724,plain,
% 19.38/19.57 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7)) = multiply(sk_c3, sk_c8)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[723, 722])).
% 19.38/19.57 tff(725,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c7) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7)))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(726,plain,
% 19.38/19.57 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c7) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[725, 52])).
% 19.38/19.57 tff(727,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c7)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[679, 323])).
% 19.38/19.57 tff(728,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(sk_c1, sk_c2)) = multiply(inverse(sk_c8), sk_c8)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[324, 31])).
% 19.38/19.57 tff(729,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c2) = multiply(sk_c7, multiply(sk_c1, sk_c2)))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(730,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, sk_c1), sk_c2) = multiply(sk_c7, multiply(sk_c1, sk_c2))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[729, 52])).
% 19.38/19.57 tff(731,plain,
% 19.38/19.57 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c8), sk_c1)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[324])).
% 19.38/19.57 tff(732,plain,
% 19.38/19.57 (multiply(inverse(sk_c8), sk_c1) = multiply(sk_c7, sk_c1)),
% 19.38/19.57 inference(symmetry,[status(thm)],[731])).
% 19.38/19.57 tff(733,plain,
% 19.38/19.57 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8)) = multiply(multiply(sk_c7, sk_c1), sk_c2)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[732, 712])).
% 19.38/19.57 tff(734,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c8) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8)))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(735,plain,
% 19.38/19.57 (multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c8) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[734, 52])).
% 19.38/19.57 tff(736,plain,
% 19.38/19.57 (multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c7, sk_c1), sk_c2)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[732, 494])).
% 19.38/19.57 tff(737,plain,
% 19.38/19.57 (multiply(multiply(sk_c7, sk_c1), sk_c2) = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.57 inference(symmetry,[status(thm)],[736])).
% 19.38/19.57 tff(738,plain,
% 19.38/19.57 (multiply(sk_c7, multiply(sk_c1, sk_c2)) = multiply(multiply(sk_c7, sk_c1), sk_c2)),
% 19.38/19.57 inference(symmetry,[status(thm)],[730])).
% 19.38/19.57 tff(739,plain,
% 19.38/19.57 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c2))),
% 19.38/19.57 inference(symmetry,[status(thm)],[728])).
% 19.38/19.57 tff(740,plain,
% 19.38/19.57 (identity = multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.57 inference(transitivity,[status(thm)],[167, 739, 738, 737])).
% 19.38/19.57 tff(741,plain,
% 19.38/19.57 (multiply(identity, sk_c8) = multiply(multiply(multiply(inverse(sk_c8), sk_c1), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c8)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[740])).
% 19.38/19.57 tff(742,plain,
% 19.38/19.57 (multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(inverse(sk_c3), sk_c3)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[427, 723])).
% 19.38/19.57 tff(743,plain,
% 19.38/19.57 (multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = identity),
% 19.38/19.57 inference(transitivity,[status(thm)],[742, 218])).
% 19.38/19.57 tff(744,plain,
% 19.38/19.57 (multiply(multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c8) = multiply(identity, sk_c8)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[743])).
% 19.38/19.57 tff(745,plain,
% 19.38/19.57 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c8) = multiply(sk_c8, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c8)))),
% 19.38/19.57 inference(quant_inst,[status(thm)],[])).
% 19.38/19.57 tff(746,plain,
% 19.38/19.57 (multiply(multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c8) = multiply(sk_c8, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c8))),
% 19.38/19.57 inference(unit_resolution,[status(thm)],[745, 52])).
% 19.38/19.57 tff(747,plain,
% 19.38/19.57 (multiply(sk_c8, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c8)) = multiply(multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c8)),
% 19.38/19.57 inference(symmetry,[status(thm)],[746])).
% 19.38/19.57 tff(748,plain,
% 19.38/19.57 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c8) = multiply(sk_c3, sk_c8)),
% 19.38/19.57 inference(monotonicity,[status(thm)],[723])).
% 19.38/19.57 tff(749,plain,
% 19.38/19.57 (multiply(sk_c3, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c8)),
% 19.38/19.58 inference(symmetry,[status(thm)],[748])).
% 19.38/19.58 tff(750,plain,
% 19.38/19.58 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = multiply(sk_c8, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c8))),
% 19.38/19.58 inference(monotonicity,[status(thm)],[749])).
% 19.38/19.58 tff(751,plain,
% 19.38/19.58 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 19.38/19.58 inference(transitivity,[status(thm)],[750, 747, 744, 741, 735, 733, 730, 728, 461, 458, 727, 726, 724, 720, 715, 713, 711, 707, 704, 691, 688, 506, 481, 493, 686, 682, 680, 675, 673, 655, 653, 650, 554, 648, 646, 643, 637, 634, 620, 616, 613, 581, 144, 579, 611, 605, 603, 595, 591, 589, 552, 549, 534, 531, 521, 518, 517, 513, 511, 504, 501, 489, 453, 450, 446, 35])).
% 19.38/19.58 tff(752,plain,
% 19.38/19.58 ((multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7) <=> (multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[751])).
% 19.38/19.58 tff(753,plain,
% 19.38/19.58 ((multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7) <=> (multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)),
% 19.38/19.58 inference(symmetry,[status(thm)],[752])).
% 19.38/19.58 tff(754,plain,
% 19.38/19.58 (multiply(inverse(sk_c2), multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7)) = multiply(inverse(sk_c2), sk_c2)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[530])).
% 19.38/19.58 tff(755,plain,
% 19.38/19.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c2), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))), sk_c7) = multiply(inverse(sk_c2), multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7)))),
% 19.38/19.58 inference(quant_inst,[status(thm)],[])).
% 19.38/19.58 tff(756,plain,
% 19.38/19.58 (multiply(multiply(inverse(sk_c2), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))), sk_c7) = multiply(inverse(sk_c2), multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7))),
% 19.38/19.58 inference(unit_resolution,[status(thm)],[755, 52])).
% 19.38/19.58 tff(757,plain,
% 19.38/19.58 (multiply(inverse(sk_c2), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c2))),
% 19.38/19.58 inference(monotonicity,[status(thm)],[528])).
% 19.38/19.58 tff(758,plain,
% 19.38/19.58 (multiply(inverse(sk_c2), multiply(sk_c2, sk_c2)) = multiply(inverse(sk_c2), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[757])).
% 19.38/19.58 tff(759,plain,
% 19.38/19.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c2), sk_c2), sk_c2) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c2)))),
% 19.38/19.58 inference(quant_inst,[status(thm)],[])).
% 19.38/19.58 tff(760,plain,
% 19.38/19.58 (multiply(multiply(inverse(sk_c2), sk_c2), sk_c2) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c2))),
% 19.38/19.58 inference(unit_resolution,[status(thm)],[759, 52])).
% 19.38/19.58 tff(761,plain,
% 19.38/19.58 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.58 inference(transitivity,[status(thm)],[695, 436, 435, 54])).
% 19.38/19.58 tff(762,plain,
% 19.38/19.58 (multiply(multiply(inverse(sk_c2), sk_c2), sk_c2) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.58 inference(monotonicity,[status(thm)],[761, 45])).
% 19.38/19.58 tff(763,plain,
% 19.38/19.58 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(inverse(sk_c2), sk_c2), sk_c2)),
% 19.38/19.58 inference(symmetry,[status(thm)],[762])).
% 19.38/19.58 tff(764,plain,
% 19.38/19.58 (sk_c2 = multiply(inverse(sk_c2), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.58 inference(transitivity,[status(thm)],[102, 438, 763, 760, 758])).
% 19.38/19.58 tff(765,plain,
% 19.38/19.58 (multiply(sk_c2, sk_c7) = multiply(multiply(inverse(sk_c2), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))), sk_c7)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[764])).
% 19.38/19.58 tff(766,plain,
% 19.38/19.58 (sk_c8 = sk_c2),
% 19.38/19.58 inference(transitivity,[status(thm)],[447, 765, 756, 754, 695, 167, 461, 458, 727, 726, 724, 720, 715, 713, 711, 707, 704, 691, 688, 506, 481, 493, 439, 44])).
% 19.38/19.58 tff(767,plain,
% 19.38/19.58 (inverse(sk_c8) = inverse(sk_c2)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[766])).
% 19.38/19.58 tff(768,plain,
% 19.38/19.58 (inverse(sk_c2) = inverse(sk_c8)),
% 19.38/19.58 inference(symmetry,[status(thm)],[767])).
% 19.38/19.58 tff(769,plain,
% 19.38/19.58 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)),
% 19.38/19.58 inference(symmetry,[status(thm)],[711])).
% 19.38/19.58 tff(770,plain,
% 19.38/19.58 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c1)))) = multiply(multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[704])).
% 19.38/19.58 tff(771,plain,
% 19.38/19.58 (multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.58 inference(symmetry,[status(thm)],[688])).
% 19.38/19.58 tff(772,plain,
% 19.38/19.58 (multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(multiply(sk_c2, inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.58 inference(symmetry,[status(thm)],[506])).
% 19.38/19.58 tff(773,plain,
% 19.38/19.58 (sk_c2 = sk_c3),
% 19.38/19.58 inference(transitivity,[status(thm)],[102, 438, 484, 482, 772, 771, 690, 770, 706, 769, 701, 699, 626, 623, 622, 61])).
% 19.38/19.58 tff(774,plain,
% 19.38/19.58 (inverse(sk_c2) = inverse(sk_c3)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[773])).
% 19.38/19.58 tff(775,plain,
% 19.38/19.58 (inverse(sk_c3) = inverse(sk_c2)),
% 19.38/19.58 inference(symmetry,[status(thm)],[774])).
% 19.38/19.58 tff(776,plain,
% 19.38/19.58 (multiply(multiply(inverse(sk_c2), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))), sk_c7) = multiply(sk_c2, sk_c7)),
% 19.38/19.58 inference(symmetry,[status(thm)],[765])).
% 19.38/19.58 tff(777,plain,
% 19.38/19.58 (multiply(inverse(sk_c2), multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7)) = multiply(multiply(inverse(sk_c2), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))), sk_c7)),
% 19.38/19.58 inference(symmetry,[status(thm)],[756])).
% 19.38/19.58 tff(778,plain,
% 19.38/19.58 (multiply(inverse(sk_c2), sk_c2) = multiply(inverse(sk_c2), multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7))),
% 19.38/19.58 inference(symmetry,[status(thm)],[754])).
% 19.38/19.58 tff(779,plain,
% 19.38/19.58 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c7) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.38/19.58 inference(symmetry,[status(thm)],[727])).
% 19.38/19.58 tff(780,plain,
% 19.38/19.58 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c7)),
% 19.38/19.58 inference(symmetry,[status(thm)],[726])).
% 19.38/19.58 tff(781,plain,
% 19.38/19.58 (multiply(sk_c3, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7))),
% 19.38/19.58 inference(symmetry,[status(thm)],[724])).
% 19.38/19.58 tff(782,plain,
% 19.38/19.58 (multiply(multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c8) = multiply(sk_c3, sk_c8)),
% 19.38/19.58 inference(symmetry,[status(thm)],[720])).
% 19.38/19.58 tff(783,plain,
% 19.38/19.58 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8)) = multiply(multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c8)),
% 19.38/19.58 inference(symmetry,[status(thm)],[715])).
% 19.38/19.58 tff(784,plain,
% 19.38/19.58 (multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c8))),
% 19.38/19.58 inference(symmetry,[status(thm)],[713])).
% 19.38/19.58 tff(785,plain,
% 19.38/19.58 (multiply(multiply(multiply(sk_c7, sk_c2), sk_c7), sk_c2) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.58 inference(symmetry,[status(thm)],[686])).
% 19.38/19.58 tff(786,plain,
% 19.38/19.58 (multiply(multiply(sk_c7, sk_c2), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), sk_c7), sk_c2)),
% 19.38/19.58 inference(symmetry,[status(thm)],[682])).
% 19.38/19.58 tff(787,plain,
% 19.38/19.58 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c7, sk_c2), multiply(sk_c7, sk_c2))),
% 19.38/19.58 inference(symmetry,[status(thm)],[680])).
% 19.38/19.58 tff(788,plain,
% 19.38/19.58 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[675])).
% 19.38/19.58 tff(789,plain,
% 19.38/19.58 (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c7), multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[673])).
% 19.38/19.58 tff(790,plain,
% 19.38/19.58 (multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))) = multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c7), multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))),
% 19.38/19.58 inference(symmetry,[status(thm)],[655])).
% 19.38/19.58 tff(791,plain,
% 19.38/19.58 (multiply(multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)), inverse(sk_c1)) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[653])).
% 19.38/19.58 tff(792,plain,
% 19.38/19.58 (multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)), inverse(sk_c1))),
% 19.38/19.58 inference(symmetry,[status(thm)],[650])).
% 19.38/19.58 tff(793,plain,
% 19.38/19.58 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))) = multiply(inverse(sk_c8), multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[648])).
% 19.38/19.58 tff(794,plain,
% 19.38/19.58 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c8, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[643])).
% 19.38/19.58 tff(795,plain,
% 19.38/19.58 (multiply(sk_c3, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c8), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[634])).
% 19.38/19.58 tff(796,plain,
% 19.38/19.58 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c2, sk_c2))) = multiply(sk_c3, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[620])).
% 19.38/19.58 tff(797,plain,
% 19.38/19.58 (multiply(multiply(sk_c1, inverse(sk_c1)), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c2, sk_c2))),
% 19.38/19.58 inference(symmetry,[status(thm)],[613])).
% 19.38/19.58 tff(798,plain,
% 19.38/19.58 (multiply(multiply(identity, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))) = multiply(sk_c2, multiply(sk_c3, multiply(inverse(sk_c1), inverse(sk_c1))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[611])).
% 19.38/19.58 tff(799,plain,
% 19.38/19.58 (multiply(identity, multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))) = multiply(multiply(identity, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[605])).
% 19.38/19.58 tff(800,plain,
% 19.38/19.58 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)))) = multiply(identity, multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1))))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[603])).
% 19.38/19.58 tff(801,plain,
% 19.38/19.58 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1), multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[595])).
% 19.38/19.58 tff(802,plain,
% 19.38/19.58 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))))) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1), multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[591])).
% 19.38/19.58 tff(803,plain,
% 19.38/19.58 (multiply(inverse(sk_c1), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(sk_c1, multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1)))))),
% 19.38/19.58 inference(symmetry,[status(thm)],[589])).
% 19.38/19.58 tff(804,plain,
% 19.38/19.58 (multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), multiply(sk_c7, multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))) = multiply(multiply(inverse(sk_c1), inverse(sk_c1)), inverse(sk_c1))),
% 19.38/19.58 inference(symmetry,[status(thm)],[549])).
% 19.38/19.58 tff(805,plain,
% 19.38/19.58 (multiply(sk_c2, multiply(sk_c1, multiply(sk_c2, sk_c2))) = multiply(multiply(multiply(sk_c2, multiply(multiply(inverse(sk_c8), sk_c3), multiply(inverse(sk_c1), inverse(sk_c1)))), sk_c7), multiply(multiply(sk_c1, multiply(inverse(sk_c1), inverse(sk_c1))), multiply(sk_c3, sk_c7)))),
% 19.38/19.58 inference(symmetry,[status(thm)],[531])).
% 19.38/19.58 tff(806,plain,
% 19.38/19.58 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), multiply(inverse(sk_c1), inverse(sk_c1))) = multiply(multiply(sk_c2, sk_c1), multiply(sk_c2, sk_c2))),
% 19.38/19.58 inference(symmetry,[status(thm)],[518])).
% 19.38/19.58 tff(807,plain,
% 19.38/19.58 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7),
% 19.38/19.58 inference(transitivity,[status(thm)],[34, 445, 449, 452, 488, 500, 503, 510, 547, 516, 806, 520, 805, 533, 804, 551, 803, 802, 801, 800, 799, 798, 597, 145, 596, 797, 615, 796, 795, 636, 794, 645, 793, 555, 792, 791, 790, 789, 788, 787, 786, 785, 484, 482, 772, 771, 690, 770, 706, 769, 784, 783, 782, 781, 780, 779, 457, 667, 166, 696, 778, 777, 776, 431, 427, 775, 768, 323])).
% 19.38/19.58 tff(808,plain,
% 19.38/19.58 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7),
% 19.38/19.58 inference(modus_ponens,[status(thm)],[807, 753])).
% 19.38/19.58 tff(809,plain,
% 19.38/19.58 (multiply(sk_c1, inverse(sk_c1)) = sk_c8),
% 19.38/19.58 inference(transitivity,[status(thm)],[26, 31])).
% 19.38/19.58 tff(810,plain,
% 19.38/19.58 (multiply(inverse(sk_c1), sk_c7) = multiply(sk_c2, sk_c7)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[23])).
% 19.38/19.58 tff(811,plain,
% 19.38/19.58 (multiply(inverse(sk_c1), sk_c7) = sk_c8),
% 19.38/19.58 inference(transitivity,[status(thm)],[810, 431])).
% 19.38/19.58 tff(812,plain,
% 19.38/19.58 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)))),
% 19.38/19.58 inference(rewrite,[status(thm)],[])).
% 19.38/19.58 tff(813,plain,
% 19.38/19.58 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)))),
% 19.38/19.58 inference(rewrite,[status(thm)],[])).
% 19.38/19.58 tff(814,plain,
% 19.38/19.58 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7))))),
% 19.38/19.58 inference(monotonicity,[status(thm)],[813])).
% 19.38/19.58 tff(815,plain,
% 19.38/19.58 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)))),
% 19.38/19.58 inference(transitivity,[status(thm)],[814, 812])).
% 19.38/19.58 tff(816,plain,
% 19.38/19.58 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)))),
% 19.38/19.58 inference(quant_inst,[status(thm)],[])).
% 19.38/19.58 tff(817,plain,
% 19.38/19.58 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7))),
% 19.38/19.58 inference(modus_ponens,[status(thm)],[816, 815])).
% 19.38/19.58 tff(818,plain,
% 19.38/19.58 ((~(multiply(sk_c1, inverse(sk_c1)) = sk_c8)) | (~(multiply(inverse(sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7))),
% 19.38/19.58 inference(unit_resolution,[status(thm)],[817, 323, 426, 390])).
% 19.38/19.58 tff(819,plain,
% 19.38/19.58 (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)),
% 19.38/19.58 inference(unit_resolution,[status(thm)],[818, 811, 19, 809])).
% 19.38/19.58 tff(820,plain,
% 19.38/19.58 ($false),
% 19.38/19.58 inference(unit_resolution,[status(thm)],[819, 808])).
% 19.38/19.58 tff(821,plain,(multiply(sk_c8, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 19.38/19.58 tff(822,plain,
% 19.38/19.58 (((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 19.38/19.58 inference(rewrite,[status(thm)],[])).
% 19.38/19.58 tff(823,axiom,((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 19.38/19.58 tff(824,plain,
% 19.38/19.58 ((multiply(sk_c2, sk_c7) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 19.38/19.58 inference(modus_ponens,[status(thm)],[823, 822])).
% 19.38/19.58 tff(825,plain,
% 19.38/19.58 (multiply(sk_c5, sk_c8) = sk_c6),
% 19.38/19.58 inference(unit_resolution,[status(thm)],[824, 1])).
% 19.38/19.58 tff(826,plain,
% 19.38/19.58 (sk_c6 = multiply(sk_c5, sk_c8)),
% 19.38/19.58 inference(symmetry,[status(thm)],[825])).
% 19.38/19.58 tff(827,plain,
% 19.38/19.58 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 19.38/19.58 inference(monotonicity,[status(thm)],[826])).
% 19.38/19.58 tff(828,plain,
% 19.38/19.58 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 19.38/19.58 inference(symmetry,[status(thm)],[827])).
% 19.38/19.58 tff(829,plain,
% 19.38/19.58 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8))),
% 19.38/19.58 inference(rewrite,[status(thm)],[])).
% 19.38/19.58 tff(830,plain,
% 19.38/19.58 (((multiply(sk_c2, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8))),
% 19.38/19.58 inference(rewrite,[status(thm)],[])).
% 19.38/19.58 tff(831,axiom,((multiply(sk_c2, sk_c7) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_18')).
% 19.38/19.58 tff(832,plain,
% 19.38/19.58 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)),
% 19.38/19.58 inference(modus_ponens,[status(thm)],[831, 830])).
% 19.38/19.58 tff(833,plain,
% 19.38/19.58 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c7) = sk_c8)),
% 19.38/19.58 inference(modus_ponens,[status(thm)],[832, 829])).
% 19.38/19.58 tff(834,plain,
% 19.38/19.58 (inverse(sk_c5) = sk_c8),
% 19.38/19.58 inference(unit_resolution,[status(thm)],[833, 1])).
% 19.38/19.58 tff(835,plain,
% 19.38/19.58 (sk_c8 = inverse(sk_c5)),
% 19.38/19.58 inference(symmetry,[status(thm)],[834])).
% 19.38/19.58 tff(836,plain,
% 19.38/19.58 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[835])).
% 19.38/19.58 tff(837,plain,
% 19.38/19.58 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 19.38/19.58 inference(symmetry,[status(thm)],[836])).
% 19.38/19.58 tff(838,plain,
% 19.38/19.58 (identity = multiply(sk_c8, sk_c5)),
% 19.38/19.58 inference(transitivity,[status(thm)],[346, 837])).
% 19.38/19.58 tff(839,plain,
% 19.38/19.58 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[838])).
% 19.38/19.58 tff(840,plain,
% 19.38/19.58 (sk_c8 = sk_c7),
% 19.38/19.58 inference(transitivity,[status(thm)],[351, 839, 336, 828, 821])).
% 19.38/19.58 tff(841,plain,
% 19.38/19.58 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c7)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[840])).
% 19.38/19.58 tff(842,plain,
% 19.38/19.58 (multiply(sk_c4, inverse(sk_c4)) = multiply(sk_c4, sk_c8)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[7])).
% 19.38/19.58 tff(843,plain,
% 19.38/19.58 (multiply(sk_c4, inverse(sk_c4)) = sk_c8),
% 19.38/19.58 inference(transitivity,[status(thm)],[842, 841, 14])).
% 19.38/19.58 tff(844,plain,
% 19.38/19.58 (multiply(sk_c8, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[427])).
% 19.38/19.58 tff(845,plain,
% 19.38/19.58 (multiply(sk_c8, sk_c3) = multiply(sk_c8, sk_c5)),
% 19.38/19.58 inference(transitivity,[status(thm)],[844, 218, 346, 837])).
% 19.38/19.58 tff(846,plain,
% 19.38/19.58 (multiply(multiply(sk_c8, sk_c3), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 19.38/19.58 inference(monotonicity,[status(thm)],[845])).
% 19.38/19.58 tff(847,plain,
% 19.38/19.58 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c3), sk_c8) = multiply(sk_c8, multiply(sk_c3, sk_c8)))),
% 19.38/19.58 inference(quant_inst,[status(thm)],[])).
% 19.38/19.58 tff(848,plain,
% 19.38/19.58 (multiply(multiply(sk_c8, sk_c3), sk_c8) = multiply(sk_c8, multiply(sk_c3, sk_c8))),
% 19.38/19.58 inference(unit_resolution,[status(thm)],[847, 52])).
% 19.38/19.58 tff(849,plain,
% 19.38/19.58 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = multiply(multiply(sk_c8, sk_c3), sk_c8)),
% 19.38/19.58 inference(symmetry,[status(thm)],[848])).
% 19.38/19.58 tff(850,plain,
% 19.38/19.58 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7),
% 19.38/19.58 inference(transitivity,[status(thm)],[849, 846, 336, 828, 821])).
% 19.38/19.58 tff(851,plain,
% 19.38/19.58 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))),
% 19.38/19.59 inference(rewrite,[status(thm)],[])).
% 19.38/19.59 tff(852,plain,
% 19.38/19.59 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))),
% 19.38/19.59 inference(rewrite,[status(thm)],[])).
% 19.38/19.59 tff(853,plain,
% 19.38/19.59 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8))))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[852])).
% 19.38/19.59 tff(854,plain,
% 19.38/19.59 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)))),
% 19.38/19.59 inference(transitivity,[status(thm)],[853, 851])).
% 19.38/19.59 tff(855,plain,
% 19.38/19.59 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(856,plain,
% 19.38/19.59 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8))),
% 19.38/19.59 inference(modus_ponens,[status(thm)],[855, 854])).
% 19.38/19.59 tff(857,plain,
% 19.38/19.59 ((~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)) | (~(multiply(sk_c4, inverse(sk_c4)) = sk_c8))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[856, 323, 7, 14, 426, 390])).
% 19.38/19.59 tff(858,plain,
% 19.38/19.59 (~(multiply(inverse(sk_c4), sk_c7) = sk_c8)),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[857, 850, 843])).
% 19.38/19.59 tff(859,plain,
% 19.38/19.59 (~(multiply(sk_c8, sk_c7) = sk_c8)),
% 19.38/19.59 inference(modus_ponens,[status(thm)],[858, 10])).
% 19.38/19.59 tff(860,plain,
% 19.38/19.59 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 19.38/19.59 inference(symmetry,[status(thm)],[839])).
% 19.38/19.59 tff(861,plain,
% 19.38/19.59 (sk_c8 = inverse(sk_c4)),
% 19.38/19.59 inference(symmetry,[status(thm)],[7])).
% 19.38/19.59 tff(862,plain,
% 19.38/19.59 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[861])).
% 19.38/19.59 tff(863,plain,
% 19.38/19.59 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 19.38/19.59 inference(symmetry,[status(thm)],[862])).
% 19.38/19.59 tff(864,plain,
% 19.38/19.59 (identity = multiply(inverse(sk_c4), sk_c4)),
% 19.38/19.59 inference(symmetry,[status(thm)],[409])).
% 19.38/19.59 tff(865,plain,
% 19.38/19.59 (multiply(sk_c8, sk_c5) = multiply(sk_c8, sk_c4)),
% 19.38/19.59 inference(transitivity,[status(thm)],[836, 345, 864, 863])).
% 19.38/19.59 tff(866,plain,
% 19.38/19.59 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[865])).
% 19.38/19.59 tff(867,plain,
% 19.38/19.59 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 19.38/19.59 inference(symmetry,[status(thm)],[866])).
% 19.38/19.59 tff(868,plain,
% 19.38/19.59 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[840])).
% 19.38/19.59 tff(869,plain,
% 19.38/19.59 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 19.38/19.59 inference(symmetry,[status(thm)],[868])).
% 19.38/19.59 tff(870,plain,
% 19.38/19.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c7)))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(871,plain,
% 19.38/19.59 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[870, 52])).
% 19.38/19.59 tff(872,plain,
% 19.38/19.59 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 19.38/19.59 inference(symmetry,[status(thm)],[871])).
% 19.38/19.59 tff(873,plain,
% 19.38/19.59 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(sk_c8, sk_c8)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[14])).
% 19.38/19.59 tff(874,plain,
% 19.38/19.59 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 19.38/19.59 inference(symmetry,[status(thm)],[873])).
% 19.38/19.59 tff(875,plain,
% 19.38/19.59 (sk_c7 = multiply(sk_c8, sk_c6)),
% 19.38/19.59 inference(symmetry,[status(thm)],[821])).
% 19.38/19.59 tff(876,plain,
% 19.38/19.59 (sk_c7 = sk_c8),
% 19.38/19.59 inference(transitivity,[status(thm)],[875, 827, 401, 860, 350])).
% 19.38/19.59 tff(877,plain,
% 19.38/19.59 (multiply(sk_c8, sk_c7) = multiply(sk_c8, sk_c8)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[876])).
% 19.38/19.59 tff(878,plain,
% 19.38/19.59 (multiply(sk_c8, sk_c7) = sk_c8),
% 19.38/19.59 inference(transitivity,[status(thm)],[877, 874, 872, 869, 867, 860, 350])).
% 19.38/19.59 tff(879,plain,
% 19.38/19.59 ($false),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[878, 859])).
% 19.38/19.59 tff(880,plain,(multiply(sk_c2, sk_c7) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 19.38/19.59 tff(881,plain,
% 19.38/19.59 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c2, sk_c7)) = multiply(sk_c2, sk_c7))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(882,plain,
% 19.38/19.59 (multiply(identity, multiply(sk_c2, sk_c7)) = multiply(sk_c2, sk_c7)),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[881, 42])).
% 19.38/19.59 tff(883,plain,
% 19.38/19.59 (sk_c8 = multiply(sk_c2, sk_c7)),
% 19.38/19.59 inference(symmetry,[status(thm)],[880])).
% 19.38/19.59 tff(884,plain,
% 19.38/19.59 (sk_c8 = multiply(sk_c2, inverse(sk_c8))),
% 19.38/19.59 inference(transitivity,[status(thm)],[883, 459])).
% 19.38/19.59 tff(885,plain,
% 19.38/19.59 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[323, 884])).
% 19.38/19.59 tff(886,plain,
% 19.38/19.59 (identity = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.59 inference(transitivity,[status(thm)],[167, 885])).
% 19.38/19.59 tff(887,plain,
% 19.38/19.59 (multiply(identity, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[886])).
% 19.38/19.59 tff(888,plain,
% 19.38/19.59 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)) = multiply(identity, multiply(sk_c2, sk_c7))),
% 19.38/19.59 inference(symmetry,[status(thm)],[887])).
% 19.38/19.59 tff(889,plain,
% 19.38/19.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(890,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[889, 52])).
% 19.38/19.59 tff(891,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.59 inference(symmetry,[status(thm)],[890])).
% 19.38/19.59 tff(892,plain,
% 19.38/19.59 (identity = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.38/19.59 inference(transitivity,[status(thm)],[167, 885, 458])).
% 19.38/19.59 tff(893,plain,
% 19.38/19.59 (multiply(identity, sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[892])).
% 19.38/19.59 tff(894,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(identity, sk_c3)),
% 19.38/19.59 inference(symmetry,[status(thm)],[893])).
% 19.38/19.59 tff(895,plain,
% 19.38/19.59 (multiply(sk_c2, inverse(sk_c8)) = inverse(sk_c3)),
% 19.38/19.59 inference(transitivity,[status(thm)],[432, 880, 427])).
% 19.38/19.59 tff(896,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[895])).
% 19.38/19.59 tff(897,plain,
% 19.38/19.59 (multiply(inverse(sk_c3), sk_c3) = multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3)),
% 19.38/19.59 inference(symmetry,[status(thm)],[896])).
% 19.38/19.59 tff(898,plain,
% 19.38/19.59 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(inverse(sk_c8), sk_c8)),
% 19.38/19.59 inference(symmetry,[status(thm)],[885])).
% 19.38/19.59 tff(899,plain,
% 19.38/19.59 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.59 inference(transitivity,[status(thm)],[898, 166, 436, 897, 54])).
% 19.38/19.59 tff(900,plain,
% 19.38/19.59 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[899])).
% 19.38/19.59 tff(901,plain,
% 19.38/19.59 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = sk_c3),
% 19.38/19.59 inference(transitivity,[status(thm)],[900, 626, 623, 894, 61])).
% 19.38/19.59 tff(902,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(sk_c2, sk_c3), sk_c3)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[901])).
% 19.38/19.59 tff(903,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c3), sk_c3) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.38/19.59 inference(symmetry,[status(thm)],[902])).
% 19.38/19.59 tff(904,plain,
% 19.38/19.59 (sk_c3 = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.59 inference(transitivity,[status(thm)],[718, 893, 468])).
% 19.38/19.59 tff(905,plain,
% 19.38/19.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(906,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[905, 52])).
% 19.38/19.59 tff(907,plain,
% 19.38/19.59 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.59 inference(symmetry,[status(thm)],[906])).
% 19.38/19.59 tff(908,plain,
% 19.38/19.59 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(sk_c2, sk_c3)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[901])).
% 19.38/19.59 tff(909,plain,
% 19.38/19.59 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.38/19.59 inference(symmetry,[status(thm)],[908])).
% 19.38/19.59 tff(910,plain,
% 19.38/19.59 (multiply(sk_c2, sk_c3) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.59 inference(transitivity,[status(thm)],[909, 907])).
% 19.38/19.59 tff(911,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c3), sk_c3) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[910, 904])).
% 19.38/19.59 tff(912,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c2, sk_c3), sk_c3)),
% 19.38/19.59 inference(symmetry,[status(thm)],[911])).
% 19.38/19.59 tff(913,plain,
% 19.38/19.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(914,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[913, 52])).
% 19.38/19.59 tff(915,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.59 inference(symmetry,[status(thm)],[914])).
% 19.38/19.59 tff(916,plain,
% 19.38/19.59 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = sk_c3),
% 19.38/19.59 inference(transitivity,[status(thm)],[623, 894, 61])).
% 19.38/19.59 tff(917,plain,
% 19.38/19.59 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[458, 916])).
% 19.38/19.59 tff(918,plain,
% 19.38/19.59 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = sk_c3),
% 19.38/19.59 inference(transitivity,[status(thm)],[917, 894, 61])).
% 19.38/19.59 tff(919,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[459, 918])).
% 19.38/19.59 tff(920,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.38/19.59 inference(symmetry,[status(thm)],[919])).
% 19.38/19.59 tff(921,plain,
% 19.38/19.59 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.59 inference(transitivity,[status(thm)],[898, 166, 436, 897, 920, 915, 912, 903, 891])).
% 19.38/19.59 tff(922,plain,
% 19.38/19.59 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[921])).
% 19.38/19.59 tff(923,plain,
% 19.38/19.59 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))),
% 19.38/19.59 inference(symmetry,[status(thm)],[922])).
% 19.38/19.59 tff(924,plain,
% 19.38/19.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(925,plain,
% 19.38/19.59 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[924, 52])).
% 19.38/19.59 tff(926,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7))),
% 19.38/19.59 inference(symmetry,[status(thm)],[925])).
% 19.38/19.59 tff(927,plain,
% 19.38/19.59 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)) = multiply(sk_c2, sk_c7)),
% 19.38/19.59 inference(transitivity,[status(thm)],[888, 882])).
% 19.38/19.59 tff(928,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c2, sk_c7))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[927])).
% 19.38/19.59 tff(929,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))),
% 19.38/19.59 inference(symmetry,[status(thm)],[928])).
% 19.38/19.59 tff(930,plain,
% 19.38/19.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, sk_c7))))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(931,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[930, 52])).
% 19.38/19.59 tff(932,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c2, sk_c7))),
% 19.38/19.59 inference(symmetry,[status(thm)],[931])).
% 19.38/19.59 tff(933,plain,
% 19.38/19.59 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[459])).
% 19.38/19.59 tff(934,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[933])).
% 19.38/19.59 tff(935,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 19.38/19.59 inference(symmetry,[status(thm)],[934])).
% 19.38/19.59 tff(936,plain,
% 19.38/19.59 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(inverse(sk_c2), sk_c2)),
% 19.38/19.59 inference(transitivity,[status(thm)],[898, 166, 696])).
% 19.38/19.59 tff(937,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), sk_c2))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[936])).
% 19.38/19.59 tff(938,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), sk_c2)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.59 inference(symmetry,[status(thm)],[937])).
% 19.38/19.59 tff(939,plain,
% 19.38/19.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), sk_c2) = multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), sk_c2)))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(940,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), sk_c2) = multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), sk_c2))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[939, 52])).
% 19.38/19.59 tff(941,plain,
% 19.38/19.59 (multiply(multiply(sk_c8, sk_c6), sk_c2) = multiply(sk_c7, sk_c2)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[821])).
% 19.38/19.59 tff(942,plain,
% 19.38/19.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c6), sk_c2) = multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(943,plain,
% 19.38/19.59 (multiply(multiply(sk_c8, sk_c6), sk_c2) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[942, 52])).
% 19.38/19.59 tff(944,plain,
% 19.38/19.59 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c8, sk_c6), sk_c2)),
% 19.38/19.59 inference(symmetry,[status(thm)],[943])).
% 19.38/19.59 tff(945,plain,
% 19.38/19.59 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(sk_c7, sk_c2)),
% 19.38/19.59 inference(transitivity,[status(thm)],[944, 941])).
% 19.38/19.59 tff(946,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, sk_c2))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[945])).
% 19.38/19.59 tff(947,plain,
% 19.38/19.59 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.59 inference(symmetry,[status(thm)],[946])).
% 19.38/19.59 tff(948,plain,
% 19.38/19.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), sk_c2) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, sk_c2)))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(949,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), sk_c2) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, sk_c2))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[948, 52])).
% 19.38/19.59 tff(950,plain,
% 19.38/19.59 (multiply(identity, sk_c2) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[886])).
% 19.38/19.59 tff(951,plain,
% 19.38/19.59 (sk_c2 = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.38/19.59 inference(transitivity,[status(thm)],[102, 950])).
% 19.38/19.59 tff(952,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[951])).
% 19.38/19.59 tff(953,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), sk_c2)),
% 19.38/19.59 inference(symmetry,[status(thm)],[952])).
% 19.38/19.59 tff(954,plain,
% 19.38/19.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(955,plain,
% 19.38/19.59 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[954, 52])).
% 19.38/19.59 tff(956,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.59 inference(transitivity,[status(thm)],[890, 902, 911, 914, 919, 896, 218, 167, 885])).
% 19.38/19.59 tff(957,plain,
% 19.38/19.59 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.38/19.59 inference(monotonicity,[status(thm)],[956])).
% 19.38/19.59 tff(958,plain,
% 19.38/19.59 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.38/19.59 inference(symmetry,[status(thm)],[957])).
% 19.38/19.59 tff(959,plain,
% 19.38/19.59 (sk_c2 = multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.59 inference(transitivity,[status(thm)],[102, 950, 958, 955, 953, 949, 947])).
% 19.38/19.59 tff(960,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.38/19.59 inference(monotonicity,[status(thm)],[959])).
% 19.38/19.59 tff(961,plain,
% 19.38/19.59 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), sk_c2)),
% 19.38/19.59 inference(symmetry,[status(thm)],[960])).
% 19.38/19.59 tff(962,plain,
% 19.38/19.59 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.38/19.59 inference(quant_inst,[status(thm)],[])).
% 19.38/19.59 tff(963,plain,
% 19.38/19.59 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.38/19.59 inference(unit_resolution,[status(thm)],[962, 52])).
% 19.38/19.59 tff(964,plain,
% 19.38/19.59 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.38/19.59 inference(transitivity,[status(thm)],[695, 167, 885, 458])).
% 19.38/19.59 tff(965,plain,
% 19.38/19.59 (multiply(multiply(inverse(sk_c2), sk_c2), sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[964])).
% 19.38/19.60 tff(966,plain,
% 19.38/19.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c2), sk_c2), sk_c3) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(967,plain,
% 19.38/19.60 (multiply(multiply(inverse(sk_c2), sk_c2), sk_c3) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[966, 52])).
% 19.38/19.60 tff(968,plain,
% 19.38/19.60 (multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)) = multiply(multiply(inverse(sk_c2), sk_c2), sk_c3)),
% 19.38/19.60 inference(symmetry,[status(thm)],[967])).
% 19.38/19.60 tff(969,plain,
% 19.38/19.60 (multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)) = sk_c3),
% 19.38/19.60 inference(transitivity,[status(thm)],[968, 965, 894, 61])).
% 19.38/19.60 tff(970,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c2, sk_c3), sk_c3)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[969])).
% 19.38/19.60 tff(971,plain,
% 19.38/19.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(972,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)))),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[971, 52])).
% 19.38/19.60 tff(973,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.60 inference(transitivity,[status(thm)],[972, 970, 911, 914, 919, 896, 218, 167, 885])).
% 19.38/19.60 tff(974,plain,
% 19.38/19.60 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[973])).
% 19.38/19.60 tff(975,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.60 inference(symmetry,[status(thm)],[974])).
% 19.38/19.60 tff(976,plain,
% 19.38/19.60 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = identity),
% 19.38/19.60 inference(transitivity,[status(thm)],[898, 166])).
% 19.38/19.60 tff(977,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(identity, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[976])).
% 19.38/19.60 tff(978,plain,
% 19.38/19.60 (multiply(identity, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.60 inference(symmetry,[status(thm)],[977])).
% 19.38/19.60 tff(979,plain,
% 19.38/19.60 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(980,plain,
% 19.38/19.60 (multiply(identity, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[979, 42])).
% 19.38/19.60 tff(981,plain,
% 19.38/19.60 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(identity, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.60 inference(symmetry,[status(thm)],[980])).
% 19.38/19.60 tff(982,plain,
% 19.38/19.60 (multiply(sk_c7, sk_c2) = multiply(multiply(sk_c8, sk_c6), sk_c2)),
% 19.38/19.60 inference(symmetry,[status(thm)],[941])).
% 19.38/19.60 tff(983,plain,
% 19.38/19.60 (multiply(sk_c7, sk_c2) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[951])).
% 19.38/19.60 tff(984,plain,
% 19.38/19.60 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(sk_c7, sk_c2)),
% 19.38/19.60 inference(symmetry,[status(thm)],[983])).
% 19.38/19.60 tff(985,plain,
% 19.38/19.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(986,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[985, 52])).
% 19.38/19.60 tff(987,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(sk_c3, sk_c2)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[901])).
% 19.38/19.60 tff(988,plain,
% 19.38/19.60 (multiply(sk_c3, sk_c2) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.38/19.60 inference(symmetry,[status(thm)],[987])).
% 19.38/19.60 tff(989,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(sk_c3, sk_c2)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[918])).
% 19.38/19.60 tff(990,plain,
% 19.38/19.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(991,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[990, 52])).
% 19.38/19.60 tff(992,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)) = multiply(multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2)),
% 19.38/19.60 inference(symmetry,[status(thm)],[991])).
% 19.38/19.60 tff(993,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2) = multiply(sk_c3, sk_c2)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[916])).
% 19.38/19.60 tff(994,plain,
% 19.38/19.60 (multiply(sk_c3, sk_c2) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)),
% 19.38/19.60 inference(symmetry,[status(thm)],[993])).
% 19.38/19.60 tff(995,plain,
% 19.38/19.60 (multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)) = identity),
% 19.38/19.60 inference(transitivity,[status(thm)],[684, 896, 218])).
% 19.38/19.60 tff(996,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(identity, inverse(sk_c1))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[995])).
% 19.38/19.60 tff(997,plain,
% 19.38/19.60 (multiply(identity, inverse(sk_c1)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.60 inference(symmetry,[status(thm)],[996])).
% 19.38/19.60 tff(998,plain,
% 19.38/19.60 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, inverse(sk_c1)) = inverse(sk_c1))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(999,plain,
% 19.38/19.60 (multiply(identity, inverse(sk_c1)) = inverse(sk_c1)),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[998, 42])).
% 19.38/19.60 tff(1000,plain,
% 19.38/19.60 (inverse(sk_c1) = multiply(identity, inverse(sk_c1))),
% 19.38/19.60 inference(symmetry,[status(thm)],[999])).
% 19.38/19.60 tff(1001,plain,
% 19.38/19.60 (inverse(sk_c1) = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.60 inference(transitivity,[status(thm)],[1000, 997, 484, 482])).
% 19.38/19.60 tff(1002,plain,
% 19.38/19.60 (multiply(sk_c7, inverse(sk_c1)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1001])).
% 19.38/19.60 tff(1003,plain,
% 19.38/19.60 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(sk_c7, inverse(sk_c1))),
% 19.38/19.60 inference(symmetry,[status(thm)],[1002])).
% 19.38/19.60 tff(1004,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.60 inference(symmetry,[status(thm)],[477])).
% 19.38/19.60 tff(1005,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(sk_c7, inverse(sk_c1))),
% 19.38/19.60 inference(transitivity,[status(thm)],[1004, 479, 1003])).
% 19.38/19.60 tff(1006,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1) = multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1005])).
% 19.38/19.60 tff(1007,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1006])).
% 19.38/19.60 tff(1008,plain,
% 19.38/19.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1) = multiply(sk_c7, multiply(inverse(sk_c1), sk_c1)))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(1009,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1) = multiply(sk_c7, multiply(inverse(sk_c1), sk_c1))),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[1008, 52])).
% 19.38/19.60 tff(1010,plain,
% 19.38/19.60 (multiply(sk_c7, multiply(inverse(sk_c1), sk_c1)) = multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1009])).
% 19.38/19.60 tff(1011,plain,
% 19.38/19.60 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.60 inference(transitivity,[status(thm)],[98, 436, 897, 54])).
% 19.38/19.60 tff(1012,plain,
% 19.38/19.60 (multiply(sk_c7, multiply(inverse(sk_c1), sk_c1)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1011])).
% 19.38/19.60 tff(1013,plain,
% 19.38/19.60 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(inverse(sk_c1), sk_c1))),
% 19.38/19.60 inference(symmetry,[status(thm)],[1012])).
% 19.38/19.60 tff(1014,plain,
% 19.38/19.60 (sk_c3 = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)),
% 19.38/19.60 inference(transitivity,[status(thm)],[718, 893, 468, 625, 1013, 1010, 1007])).
% 19.38/19.60 tff(1015,plain,
% 19.38/19.60 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1014])).
% 19.38/19.60 tff(1016,plain,
% 19.38/19.60 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)) = multiply(sk_c2, sk_c3)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1015])).
% 19.38/19.60 tff(1017,plain,
% 19.38/19.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(1018,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1))),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[1017, 52])).
% 19.38/19.60 tff(1019,plain,
% 19.38/19.60 (multiply(identity, multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[892])).
% 19.38/19.60 tff(1020,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1))) = multiply(identity, multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.60 inference(symmetry,[status(thm)],[1019])).
% 19.38/19.60 tff(1021,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3), inverse(sk_c1))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[623])).
% 19.38/19.60 tff(1022,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(sk_c3, inverse(sk_c1))),
% 19.38/19.60 inference(transitivity,[status(thm)],[473, 1021, 466, 1020, 455])).
% 19.38/19.60 tff(1023,plain,
% 19.38/19.60 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(sk_c2, multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1022])).
% 19.38/19.60 tff(1024,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1023])).
% 19.38/19.60 tff(1025,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1024])).
% 19.38/19.60 tff(1026,plain,
% 19.38/19.60 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c2, sk_c3)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[916])).
% 19.38/19.60 tff(1027,plain,
% 19.38/19.60 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.60 inference(symmetry,[status(thm)],[1026])).
% 19.38/19.60 tff(1028,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1027])).
% 19.38/19.60 tff(1029,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.60 inference(symmetry,[status(thm)],[1028])).
% 19.38/19.60 tff(1030,plain,
% 19.38/19.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(1031,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))))),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[1030, 52])).
% 19.38/19.60 tff(1032,plain,
% 19.38/19.60 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.60 inference(symmetry,[status(thm)],[1031])).
% 19.38/19.60 tff(1033,plain,
% 19.38/19.60 (multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = inverse(sk_c1)),
% 19.38/19.60 inference(transitivity,[status(thm)],[481, 493, 996, 999])).
% 19.38/19.60 tff(1034,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1033])).
% 19.38/19.60 tff(1035,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(sk_c3, inverse(sk_c1))),
% 19.38/19.60 inference(transitivity,[status(thm)],[1034, 1021, 466, 1020, 455])).
% 19.38/19.60 tff(1036,plain,
% 19.38/19.60 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))) = multiply(sk_c2, multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1035])).
% 19.38/19.60 tff(1037,plain,
% 19.38/19.60 (multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))))),
% 19.38/19.60 inference(symmetry,[status(thm)],[1036])).
% 19.38/19.60 tff(1038,plain,
% 19.38/19.60 (multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.60 inference(transitivity,[status(thm)],[1037, 1032, 1029])).
% 19.38/19.60 tff(1039,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1) = multiply(multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1038])).
% 19.38/19.60 tff(1040,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1039])).
% 19.38/19.60 tff(1041,plain,
% 19.38/19.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(1042,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1))),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[1041, 52])).
% 19.38/19.60 tff(1043,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)) = multiply(multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1042])).
% 19.38/19.60 tff(1044,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1033])).
% 19.38/19.60 tff(1045,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.60 inference(transitivity,[status(thm)],[1044, 98, 167, 885])).
% 19.38/19.60 tff(1046,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1045])).
% 19.38/19.60 tff(1047,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1))),
% 19.38/19.60 inference(symmetry,[status(thm)],[1046])).
% 19.38/19.60 tff(1048,plain,
% 19.38/19.60 (multiply(sk_c2, sk_c7) = multiply(identity, multiply(sk_c2, sk_c7))),
% 19.38/19.60 inference(symmetry,[status(thm)],[882])).
% 19.38/19.60 tff(1049,plain,
% 19.38/19.60 (sk_c8 = multiply(sk_c2, sk_c3)),
% 19.38/19.60 inference(transitivity,[status(thm)],[883, 1048, 887, 922, 925, 928, 931, 934, 1047, 1043, 1040, 1025, 1018, 1016])).
% 19.38/19.60 tff(1050,plain,
% 19.38/19.60 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1049, 1049])).
% 19.38/19.60 tff(1051,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3)) = multiply(sk_c8, sk_c8)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1050])).
% 19.38/19.60 tff(1052,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.60 inference(symmetry,[status(thm)],[963])).
% 19.38/19.60 tff(1053,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = multiply(identity, sk_c2)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[976])).
% 19.38/19.60 tff(1054,plain,
% 19.38/19.60 (multiply(identity, sk_c2) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1053])).
% 19.38/19.60 tff(1055,plain,
% 19.38/19.60 (sk_c2 = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.38/19.60 inference(transitivity,[status(thm)],[102, 1054])).
% 19.38/19.60 tff(1056,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1055])).
% 19.38/19.60 tff(1057,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), sk_c2)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1056])).
% 19.38/19.60 tff(1058,plain,
% 19.38/19.60 (sk_c2 = multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.60 inference(transitivity,[status(thm)],[102, 1054, 958, 955, 1057, 949, 947])).
% 19.38/19.60 tff(1059,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1058])).
% 19.38/19.60 tff(1060,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), sk_c2)),
% 19.38/19.60 inference(symmetry,[status(thm)],[940])).
% 19.38/19.60 tff(1061,plain,
% 19.38/19.60 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1018])).
% 19.38/19.60 tff(1062,plain,
% 19.38/19.60 (multiply(sk_c2, sk_c3) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.38/19.60 inference(transitivity,[status(thm)],[1015, 1061, 1024, 1039, 1042, 1046, 937, 1060, 1059, 1052, 974, 977, 980])).
% 19.38/19.60 tff(1063,plain,
% 19.38/19.60 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1062, 1062])).
% 19.38/19.60 tff(1064,plain,
% 19.38/19.60 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3))),
% 19.38/19.60 inference(symmetry,[status(thm)],[1063])).
% 19.38/19.60 tff(1065,plain,
% 19.38/19.60 (sk_c8 = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.38/19.60 inference(transitivity,[status(thm)],[883, 1048, 887, 922, 925, 928, 931, 934, 937, 1060, 1059, 1052, 974, 977, 980])).
% 19.38/19.60 tff(1066,plain,
% 19.38/19.60 (multiply(sk_c7, sk_c2) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1055])).
% 19.38/19.60 tff(1067,plain,
% 19.38/19.60 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(sk_c7, sk_c2)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1066])).
% 19.38/19.60 tff(1068,plain,
% 19.38/19.60 (multiply(sk_c3, sk_c2) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.38/19.60 inference(transitivity,[status(thm)],[988, 986, 1067, 982, 943])).
% 19.38/19.60 tff(1069,plain,
% 19.38/19.60 (multiply(multiply(sk_c3, sk_c2), sk_c8) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1068, 1065])).
% 19.38/19.60 tff(1070,plain,
% 19.38/19.60 (multiply(multiply(sk_c3, sk_c2), sk_c8) = multiply(sk_c8, sk_c8)),
% 19.38/19.60 inference(transitivity,[status(thm)],[1069, 1064, 1051])).
% 19.38/19.60 tff(1071,plain,
% 19.38/19.60 (multiply(sk_c8, multiply(multiply(sk_c3, sk_c2), sk_c8)) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1070])).
% 19.38/19.60 tff(1072,plain,
% 19.38/19.60 ((multiply(sk_c8, multiply(multiply(sk_c3, sk_c2), sk_c8)) = sk_c7) <=> (multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1071])).
% 19.38/19.60 tff(1073,plain,
% 19.38/19.60 ((multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7) <=> (multiply(sk_c8, multiply(multiply(sk_c3, sk_c2), sk_c8)) = sk_c7)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1072])).
% 19.38/19.60 tff(1074,plain,
% 19.38/19.60 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(1075,plain,
% 19.38/19.60 (multiply(identity, sk_c1) = sk_c1),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[1074, 42])).
% 19.38/19.60 tff(1076,plain,
% 19.38/19.60 (multiply(identity, sk_c1) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c1)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[886])).
% 19.38/19.60 tff(1077,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c1) = multiply(identity, sk_c1)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1076])).
% 19.38/19.60 tff(1078,plain,
% 19.38/19.60 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c1) = sk_c1),
% 19.38/19.60 inference(transitivity,[status(thm)],[1077, 1075])).
% 19.38/19.60 tff(1079,plain,
% 19.38/19.60 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c1)) = multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1)),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1005, 1078])).
% 19.38/19.60 tff(1080,plain,
% 19.38/19.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c1) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c1)))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(1081,plain,
% 19.38/19.60 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c1) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c1))),
% 19.38/19.60 inference(unit_resolution,[status(thm)],[1080, 52])).
% 19.38/19.60 tff(1082,plain,
% 19.38/19.60 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c8, sk_c6))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[875])).
% 19.38/19.60 tff(1083,plain,
% 19.38/19.60 (multiply(sk_c1, multiply(sk_c8, sk_c6)) = multiply(sk_c1, sk_c7)),
% 19.38/19.60 inference(symmetry,[status(thm)],[1082])).
% 19.38/19.60 tff(1084,plain,
% 19.38/19.60 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c1, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.60 inference(monotonicity,[status(thm)],[1083])).
% 19.38/19.60 tff(1085,plain,
% 19.38/19.60 (multiply(multiply(sk_c1, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.60 inference(symmetry,[status(thm)],[1084])).
% 19.38/19.60 tff(1086,plain,
% 19.38/19.60 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.38/19.60 inference(quant_inst,[status(thm)],[])).
% 19.38/19.60 tff(1087,plain,
% 19.38/19.60 (multiply(multiply(sk_c1, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1086, 52])).
% 19.38/19.61 tff(1088,plain,
% 19.38/19.61 (multiply(sk_c1, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(sk_c1, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1087])).
% 19.38/19.61 tff(1089,plain,
% 19.38/19.61 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.61 inference(symmetry,[status(thm)],[900])).
% 19.38/19.61 tff(1090,plain,
% 19.38/19.61 (sk_c3 = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.61 inference(transitivity,[status(thm)],[718, 893, 468, 625, 1089])).
% 19.38/19.61 tff(1091,plain,
% 19.38/19.61 (multiply(sk_c1, sk_c3) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1090])).
% 19.38/19.61 tff(1092,plain,
% 19.38/19.61 (multiply(sk_c1, sk_c3) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.61 inference(transitivity,[status(thm)],[1091, 1088, 1085])).
% 19.38/19.61 tff(1093,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, sk_c3), sk_c2) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1092])).
% 19.38/19.61 tff(1094,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(sk_c1, sk_c3), sk_c2)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1093])).
% 19.38/19.61 tff(1095,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1096,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1095, 52])).
% 19.38/19.61 tff(1097,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1096])).
% 19.38/19.61 tff(1098,plain,
% 19.38/19.61 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = sk_c2),
% 19.38/19.61 inference(transitivity,[status(thm)],[1053, 44])).
% 19.38/19.61 tff(1099,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), sk_c2)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1098])).
% 19.38/19.61 tff(1100,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), sk_c2) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1099])).
% 19.38/19.61 tff(1101,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), sk_c2) = multiply(multiply(sk_c1, sk_c7), sk_c2)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1083])).
% 19.38/19.61 tff(1102,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), sk_c2)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1101])).
% 19.38/19.61 tff(1103,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(sk_c1, multiply(sk_c7, sk_c2)))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1104,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(sk_c1, multiply(sk_c7, sk_c2))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1103, 52])).
% 19.38/19.61 tff(1105,plain,
% 19.38/19.61 (multiply(sk_c1, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c1, sk_c7), sk_c2)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1104])).
% 19.38/19.61 tff(1106,plain,
% 19.38/19.61 (multiply(sk_c7, sk_c2) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.38/19.61 inference(transitivity,[status(thm)],[982, 943])).
% 19.38/19.61 tff(1107,plain,
% 19.38/19.61 (multiply(sk_c1, multiply(sk_c7, sk_c2)) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1106])).
% 19.38/19.61 tff(1108,plain,
% 19.38/19.61 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c1, multiply(sk_c7, sk_c2))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1107])).
% 19.38/19.61 tff(1109,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2))))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1110,plain,
% 19.38/19.61 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1109, 52])).
% 19.38/19.61 tff(1111,plain,
% 19.38/19.61 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[880])).
% 19.38/19.61 tff(1112,plain,
% 19.38/19.61 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1111])).
% 19.38/19.61 tff(1113,plain,
% 19.38/19.61 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(transitivity,[status(thm)],[1112, 1110])).
% 19.38/19.61 tff(1114,plain,
% 19.38/19.61 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c1, multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2))))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1113])).
% 19.38/19.61 tff(1115,plain,
% 19.38/19.61 (multiply(sk_c1, multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2)))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1114])).
% 19.38/19.61 tff(1116,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(sk_c1, multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2)))))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1117,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(sk_c1, multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2))))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1116, 52])).
% 19.38/19.61 tff(1118,plain,
% 19.38/19.61 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.61 inference(transitivity,[status(thm)],[695, 436, 897, 54])).
% 19.38/19.61 tff(1119,plain,
% 19.38/19.61 (multiply(sk_c7, multiply(inverse(sk_c2), sk_c2)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1118])).
% 19.38/19.61 tff(1120,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.38/19.61 inference(symmetry,[status(thm)],[955])).
% 19.38/19.61 tff(1121,plain,
% 19.38/19.61 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), sk_c2)),
% 19.38/19.61 inference(symmetry,[status(thm)],[949])).
% 19.38/19.61 tff(1122,plain,
% 19.38/19.61 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))) = sk_c2),
% 19.38/19.61 inference(transitivity,[status(thm)],[946, 1121, 1056, 1120, 957, 1053, 44])).
% 19.38/19.61 tff(1123,plain,
% 19.38/19.61 (multiply(multiply(sk_c2, sk_c7), sk_c6) = multiply(sk_c8, sk_c6)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[880])).
% 19.38/19.61 tff(1124,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), sk_c6) = multiply(sk_c2, multiply(sk_c7, sk_c6)))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1125,plain,
% 19.38/19.61 (multiply(multiply(sk_c2, sk_c7), sk_c6) = multiply(sk_c2, multiply(sk_c7, sk_c6))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1124, 52])).
% 19.38/19.61 tff(1126,plain,
% 19.38/19.61 (multiply(sk_c2, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c2, sk_c7), sk_c6)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1125])).
% 19.38/19.61 tff(1127,plain,
% 19.38/19.61 (multiply(sk_c2, multiply(sk_c7, sk_c6)) = sk_c7),
% 19.38/19.61 inference(transitivity,[status(thm)],[1126, 1123, 821])).
% 19.38/19.61 tff(1128,plain,
% 19.38/19.61 (multiply(multiply(sk_c2, multiply(sk_c7, sk_c6)), inverse(sk_c2)) = multiply(sk_c7, inverse(sk_c2))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1127])).
% 19.38/19.61 tff(1129,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c7, sk_c6)), inverse(sk_c2)) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1130,plain,
% 19.38/19.61 (multiply(multiply(sk_c2, multiply(sk_c7, sk_c6)), inverse(sk_c2)) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1129, 52])).
% 19.38/19.61 tff(1131,plain,
% 19.38/19.61 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))) = multiply(multiply(sk_c2, multiply(sk_c7, sk_c6)), inverse(sk_c2))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1130])).
% 19.38/19.61 tff(1132,plain,
% 19.38/19.61 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))) = multiply(sk_c7, inverse(sk_c2))),
% 19.38/19.61 inference(transitivity,[status(thm)],[1131, 1128])).
% 19.38/19.61 tff(1133,plain,
% 19.38/19.61 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1132, 1122])).
% 19.38/19.61 tff(1134,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1135,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1134, 52])).
% 19.38/19.61 tff(1136,plain,
% 19.38/19.61 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1132])).
% 19.38/19.61 tff(1137,plain,
% 19.38/19.61 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1136])).
% 19.38/19.61 tff(1138,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(sk_c7, multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1139,plain,
% 19.38/19.61 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(sk_c7, multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1138, 52])).
% 19.38/19.61 tff(1140,plain,
% 19.38/19.61 (multiply(sk_c7, multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1139])).
% 19.38/19.61 tff(1141,plain,
% 19.38/19.61 (multiply(sk_c7, multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))) = multiply(inverse(sk_c8), sk_c3)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[324, 969])).
% 19.38/19.61 tff(1142,plain,
% 19.38/19.61 (multiply(inverse(sk_c8), sk_c3) = multiply(sk_c7, multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1141])).
% 19.38/19.61 tff(1143,plain,
% 19.38/19.61 (multiply(sk_c8, sk_c6) = inverse(sk_c8)),
% 19.38/19.61 inference(transitivity,[status(thm)],[821, 324])).
% 19.38/19.61 tff(1144,plain,
% 19.38/19.61 (multiply(multiply(sk_c8, sk_c6), sk_c3) = multiply(inverse(sk_c8), sk_c3)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1143])).
% 19.38/19.61 tff(1145,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c6), sk_c3) = multiply(sk_c8, multiply(sk_c6, sk_c3)))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1146,plain,
% 19.38/19.61 (multiply(multiply(sk_c8, sk_c6), sk_c3) = multiply(sk_c8, multiply(sk_c6, sk_c3))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1145, 52])).
% 19.38/19.61 tff(1147,plain,
% 19.38/19.61 (multiply(sk_c8, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c8, sk_c6), sk_c3)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1146])).
% 19.38/19.61 tff(1148,plain,
% 19.38/19.61 (multiply(sk_c8, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))),
% 19.38/19.61 inference(transitivity,[status(thm)],[1147, 1144, 1142, 1140, 1137])).
% 19.38/19.61 tff(1149,plain,
% 19.38/19.61 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1148])).
% 19.38/19.61 tff(1150,plain,
% 19.38/19.61 (multiply(inverse(sk_c8), sk_c3) = multiply(multiply(sk_c8, sk_c6), sk_c3)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1144])).
% 19.38/19.61 tff(1151,plain,
% 19.38/19.61 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(inverse(sk_c8), sk_c3)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[324, 901])).
% 19.38/19.61 tff(1152,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1153,plain,
% 19.38/19.61 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1152, 52])).
% 19.38/19.61 tff(1154,plain,
% 19.38/19.61 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[631])).
% 19.38/19.61 tff(1155,plain,
% 19.38/19.61 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c8, multiply(sk_c6, sk_c3))),
% 19.38/19.61 inference(transitivity,[status(thm)],[1154, 1153, 1151, 1150, 1146])).
% 19.38/19.61 tff(1156,plain,
% 19.38/19.61 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1155])).
% 19.38/19.61 tff(1157,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1158,plain,
% 19.38/19.61 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1157, 52])).
% 19.38/19.61 tff(1159,plain,
% 19.38/19.61 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1158])).
% 19.38/19.61 tff(1160,plain,
% 19.38/19.61 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(transitivity,[status(thm)],[981, 978])).
% 19.38/19.61 tff(1161,plain,
% 19.38/19.61 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[630, 1160])).
% 19.38/19.61 tff(1162,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1163,plain,
% 19.38/19.61 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1162, 52])).
% 19.38/19.61 tff(1164,plain,
% 19.38/19.61 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1163])).
% 19.38/19.61 tff(1165,plain,
% 19.38/19.61 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1112])).
% 19.38/19.61 tff(1166,plain,
% 19.38/19.61 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1165])).
% 19.38/19.61 tff(1167,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2)) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1168,plain,
% 19.38/19.61 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2)) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1167, 52])).
% 19.38/19.61 tff(1169,plain,
% 19.38/19.61 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 19.38/19.61 inference(symmetry,[status(thm)],[933])).
% 19.38/19.61 tff(1170,plain,
% 19.38/19.61 (identity = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 19.38/19.61 inference(transitivity,[status(thm)],[167, 885, 1169])).
% 19.38/19.61 tff(1171,plain,
% 19.38/19.61 (multiply(identity, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1170])).
% 19.38/19.61 tff(1172,plain,
% 19.38/19.61 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, sk_c2)) = multiply(sk_c6, sk_c2))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1173,plain,
% 19.38/19.61 (multiply(identity, multiply(sk_c6, sk_c2)) = multiply(sk_c6, sk_c2)),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1172, 42])).
% 19.38/19.61 tff(1174,plain,
% 19.38/19.61 (multiply(sk_c6, sk_c2) = multiply(identity, multiply(sk_c6, sk_c2))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1173])).
% 19.38/19.61 tff(1175,plain,
% 19.38/19.61 (multiply(sk_c6, sk_c2) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(transitivity,[status(thm)],[1174, 1171, 1168, 1166])).
% 19.38/19.61 tff(1176,plain,
% 19.38/19.61 (multiply(sk_c7, multiply(sk_c6, sk_c2)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1175])).
% 19.38/19.61 tff(1177,plain,
% 19.38/19.61 (multiply(sk_c7, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.61 inference(transitivity,[status(thm)],[1176, 1164, 1161, 1159, 1156, 1149, 1135, 1133, 701, 1119, 626])).
% 19.38/19.61 tff(1178,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1177])).
% 19.38/19.61 tff(1179,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1178])).
% 19.38/19.61 tff(1180,plain,
% 19.38/19.61 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[886])).
% 19.38/19.61 tff(1181,plain,
% 19.38/19.61 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7) = multiply(identity, sk_c7)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1180])).
% 19.38/19.61 tff(1182,plain,
% 19.38/19.61 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7) = multiply(multiply(inverse(sk_c2), sk_c2), sk_c7)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[936])).
% 19.38/19.61 tff(1183,plain,
% 19.38/19.61 (multiply(multiply(inverse(sk_c2), sk_c2), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1182])).
% 19.38/19.61 tff(1184,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c2), sk_c2), sk_c7) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c7)))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1185,plain,
% 19.38/19.61 (multiply(multiply(inverse(sk_c2), sk_c2), sk_c7) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c7))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1184, 52])).
% 19.38/19.61 tff(1186,plain,
% 19.38/19.61 (multiply(inverse(sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(inverse(sk_c2), sk_c2), sk_c7)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1185])).
% 19.38/19.61 tff(1187,plain,
% 19.38/19.61 (multiply(sk_c2, sk_c7) = multiply(sk_c2, sk_c3)),
% 19.38/19.61 inference(transitivity,[status(thm)],[1048, 887, 922, 925, 928, 931, 934, 1047, 1043, 1040, 1025, 1018, 1016])).
% 19.38/19.61 tff(1188,plain,
% 19.38/19.61 (multiply(inverse(sk_c2), multiply(sk_c2, sk_c7)) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1187])).
% 19.38/19.61 tff(1189,plain,
% 19.38/19.61 (multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c7))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1188])).
% 19.38/19.61 tff(1190,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(inverse(sk_c2), sk_c2), sk_c3)),
% 19.38/19.61 inference(symmetry,[status(thm)],[965])).
% 19.38/19.61 tff(1191,plain,
% 19.38/19.61 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = sk_c7),
% 19.38/19.61 inference(transitivity,[status(thm)],[623, 1190, 967, 1189, 1186, 1183, 1181, 310])).
% 19.38/19.61 tff(1192,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), sk_c2) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1193,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), sk_c2) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1192, 52])).
% 19.38/19.61 tff(1194,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), sk_c2)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1193])).
% 19.38/19.61 tff(1195,plain,
% 19.38/19.61 (multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2) = sk_c3),
% 19.38/19.61 inference(transitivity,[status(thm)],[701, 1119, 626, 623, 894, 61])).
% 19.38/19.61 tff(1196,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[126, 1195])).
% 19.38/19.61 tff(1197,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1196])).
% 19.38/19.61 tff(1198,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), sk_c2)),
% 19.38/19.61 inference(transitivity,[status(thm)],[253, 1197, 1194])).
% 19.38/19.61 tff(1199,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7) = multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7)),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1198])).
% 19.38/19.61 tff(1200,plain,
% 19.38/19.61 (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1199])).
% 19.38/19.61 tff(1201,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1202,plain,
% 19.38/19.61 (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1201, 52])).
% 19.38/19.61 tff(1203,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7)),
% 19.38/19.61 inference(symmetry,[status(thm)],[1202])).
% 19.38/19.61 tff(1204,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2)))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1132])).
% 19.38/19.61 tff(1205,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1204])).
% 19.38/19.61 tff(1206,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3))),
% 19.38/19.61 inference(monotonicity,[status(thm)],[1205, 1187])).
% 19.38/19.61 tff(1207,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1206])).
% 19.38/19.61 tff(1208,plain,
% 19.38/19.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))))),
% 19.38/19.61 inference(quant_inst,[status(thm)],[])).
% 19.38/19.61 tff(1209,plain,
% 19.38/19.61 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)))),
% 19.38/19.61 inference(unit_resolution,[status(thm)],[1208, 52])).
% 19.38/19.61 tff(1210,plain,
% 19.38/19.61 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3))),
% 19.38/19.61 inference(symmetry,[status(thm)],[1209])).
% 19.38/19.62 tff(1211,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c3, sk_c3)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[901, 916])).
% 19.38/19.62 tff(1212,plain,
% 19.38/19.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))))),
% 19.38/19.62 inference(quant_inst,[status(thm)],[])).
% 19.38/19.62 tff(1213,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.38/19.62 inference(unit_resolution,[status(thm)],[1212, 52])).
% 19.38/19.62 tff(1214,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1213])).
% 19.38/19.62 tff(1215,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.62 inference(symmetry,[status(thm)],[917])).
% 19.38/19.62 tff(1216,plain,
% 19.38/19.62 (sk_c3 = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.62 inference(transitivity,[status(thm)],[718, 893, 1215])).
% 19.38/19.62 tff(1217,plain,
% 19.38/19.62 (multiply(inverse(sk_c8), sk_c3) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[323, 1216])).
% 19.38/19.62 tff(1218,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)) = multiply(sk_c3, sk_c3)),
% 19.38/19.62 inference(transitivity,[status(thm)],[1136, 1139, 1141, 1217, 1214, 1211])).
% 19.38/19.62 tff(1219,plain,
% 19.38/19.62 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), multiply(sk_c3, sk_c3))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[126, 1218])).
% 19.38/19.62 tff(1220,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1219])).
% 19.38/19.62 tff(1221,plain,
% 19.38/19.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, multiply(sk_c3, sk_c3))))),
% 19.38/19.62 inference(quant_inst,[status(thm)],[])).
% 19.38/19.62 tff(1222,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, multiply(sk_c3, sk_c3)))),
% 19.38/19.62 inference(unit_resolution,[status(thm)],[1221, 52])).
% 19.38/19.62 tff(1223,plain,
% 19.38/19.62 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, multiply(sk_c3, sk_c3))) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), multiply(sk_c3, sk_c3))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1222])).
% 19.38/19.62 tff(1224,plain,
% 19.38/19.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c3), sk_c3) = multiply(sk_c2, multiply(sk_c3, sk_c3)))),
% 19.38/19.62 inference(quant_inst,[status(thm)],[])).
% 19.38/19.62 tff(1225,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c3), sk_c3) = multiply(sk_c2, multiply(sk_c3, sk_c3))),
% 19.38/19.62 inference(unit_resolution,[status(thm)],[1224, 52])).
% 19.38/19.62 tff(1226,plain,
% 19.38/19.62 (multiply(sk_c2, multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c2, sk_c3), sk_c3)),
% 19.38/19.62 inference(symmetry,[status(thm)],[1225])).
% 19.38/19.62 tff(1227,plain,
% 19.38/19.62 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, multiply(sk_c3, sk_c3))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), sk_c3))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1226])).
% 19.38/19.62 tff(1228,plain,
% 19.38/19.62 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), sk_c3)) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, multiply(sk_c3, sk_c3)))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1227])).
% 19.38/19.62 tff(1229,plain,
% 19.38/19.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), sk_c3)) = multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))))),
% 19.38/19.62 inference(quant_inst,[status(thm)],[])).
% 19.38/19.62 tff(1230,plain,
% 19.38/19.62 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), sk_c3)) = multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))),
% 19.38/19.62 inference(unit_resolution,[status(thm)],[1229, 52])).
% 19.38/19.62 tff(1231,plain,
% 19.38/19.62 (multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), sk_c3))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1230])).
% 19.38/19.62 tff(1232,plain,
% 19.38/19.62 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[945, 324])).
% 19.38/19.62 tff(1233,plain,
% 19.38/19.62 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.62 inference(transitivity,[status(thm)],[1232, 457])).
% 19.38/19.62 tff(1234,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), sk_c2) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1233])).
% 19.38/19.62 tff(1235,plain,
% 19.38/19.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), sk_c2) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, sk_c2)))),
% 19.38/19.62 inference(quant_inst,[status(thm)],[])).
% 19.38/19.62 tff(1236,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), sk_c2) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, sk_c2))),
% 19.38/19.62 inference(unit_resolution,[status(thm)],[1235, 52])).
% 19.38/19.62 tff(1237,plain,
% 19.38/19.62 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), sk_c2)),
% 19.38/19.62 inference(symmetry,[status(thm)],[1236])).
% 19.38/19.62 tff(1238,plain,
% 19.38/19.62 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, sk_c2))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[945])).
% 19.38/19.62 tff(1239,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)) = multiply(sk_c8, sk_c8)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[880, 880])).
% 19.38/19.62 tff(1240,plain,
% 19.38/19.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c7))))),
% 19.38/19.62 inference(quant_inst,[status(thm)],[])).
% 19.38/19.62 tff(1241,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 19.38/19.62 inference(unit_resolution,[status(thm)],[1240, 52])).
% 19.38/19.62 tff(1242,plain,
% 19.38/19.62 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1241])).
% 19.38/19.62 tff(1243,plain,
% 19.38/19.62 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1169])).
% 19.38/19.62 tff(1244,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c3), sk_c3) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.62 inference(transitivity,[status(thm)],[911, 914, 919, 896, 218, 167, 885])).
% 19.38/19.62 tff(1245,plain,
% 19.38/19.62 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1244])).
% 19.38/19.62 tff(1246,plain,
% 19.38/19.62 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)) = sk_c2),
% 19.38/19.62 inference(transitivity,[status(thm)],[1245, 1243, 1242, 1239, 1050, 1063, 1238, 1237, 1234, 1053, 44])).
% 19.38/19.62 tff(1247,plain,
% 19.38/19.62 (multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(sk_c1, sk_c2)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1246])).
% 19.38/19.62 tff(1248,plain,
% 19.38/19.62 (multiply(sk_c1, sk_c2) = multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1247])).
% 19.38/19.62 tff(1249,plain,
% 19.38/19.62 (multiply(sk_c1, sk_c2) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7)),
% 19.38/19.62 inference(transitivity,[status(thm)],[1248, 1231, 1228, 1223, 1220, 1210, 1207, 1203, 1200])).
% 19.38/19.62 tff(1250,plain,
% 19.38/19.62 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), sk_c7)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1249, 1191])).
% 19.38/19.62 tff(1251,plain,
% 19.38/19.62 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), sk_c7) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1250])).
% 19.38/19.62 tff(1252,plain,
% 19.38/19.62 (sk_c7 = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.62 inference(transitivity,[status(thm)],[311, 1180, 1182, 1185, 1188, 968, 965, 468])).
% 19.38/19.62 tff(1253,assumption,(~(multiply(sk_c1, sk_c2) = sk_c8)), introduced(assumption)).
% 19.38/19.62 tff(1254,plain,
% 19.38/19.62 (((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 19.38/19.62 inference(rewrite,[status(thm)],[])).
% 19.38/19.62 tff(1255,axiom,((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_3')).
% 19.38/19.62 tff(1256,plain,
% 19.38/19.62 ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 19.38/19.62 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 19.38/19.62 tff(1257,plain,
% 19.38/19.62 (multiply(sk_c4, sk_c7) = sk_c8),
% 19.38/19.62 inference(unit_resolution,[status(thm)],[1256, 1253])).
% 19.38/19.62 tff(1258,plain,
% 19.38/19.62 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c4, sk_c7)) = multiply(sk_c4, sk_c7))),
% 19.38/19.62 inference(quant_inst,[status(thm)],[])).
% 19.38/19.62 tff(1259,plain,
% 19.38/19.62 (multiply(identity, multiply(sk_c4, sk_c7)) = multiply(sk_c4, sk_c7)),
% 19.38/19.62 inference(unit_resolution,[status(thm)],[1258, 42])).
% 19.38/19.62 tff(1260,plain,
% 19.38/19.62 (multiply(sk_c7, sk_c2) = multiply(multiply(sk_c8, sk_c6), sk_c2)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[875])).
% 19.38/19.62 tff(1261,plain,
% 19.38/19.62 (multiply(sk_c2, inverse(sk_c8)) = sk_c8),
% 19.38/19.62 inference(transitivity,[status(thm)],[432, 880])).
% 19.38/19.62 tff(1262,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(inverse(sk_c8), sk_c8)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[324, 1261])).
% 19.38/19.62 tff(1263,plain,
% 19.38/19.62 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1262])).
% 19.38/19.62 tff(1264,plain,
% 19.38/19.62 (identity = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.62 inference(transitivity,[status(thm)],[167, 1263])).
% 19.38/19.62 tff(1265,plain,
% 19.38/19.62 (multiply(identity, sk_c2) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1264])).
% 19.38/19.62 tff(1266,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = multiply(identity, sk_c2)),
% 19.38/19.62 inference(symmetry,[status(thm)],[1265])).
% 19.38/19.62 tff(1267,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = sk_c2),
% 19.38/19.62 inference(transitivity,[status(thm)],[1266, 44])).
% 19.38/19.62 tff(1268,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(sk_c7, sk_c2)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1267])).
% 19.38/19.62 tff(1269,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.62 inference(transitivity,[status(thm)],[1262, 166, 436, 897, 54])).
% 19.38/19.62 tff(1270,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1269])).
% 19.38/19.62 tff(1271,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1270])).
% 19.38/19.62 tff(1272,plain,
% 19.38/19.62 (identity = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.38/19.62 inference(transitivity,[status(thm)],[167, 1263, 458])).
% 19.38/19.62 tff(1273,plain,
% 19.38/19.62 (multiply(identity, sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1272])).
% 19.38/19.62 tff(1274,plain,
% 19.38/19.62 (sk_c3 = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.62 inference(transitivity,[status(thm)],[718, 1273, 468, 625, 1271])).
% 19.38/19.62 tff(1275,plain,
% 19.38/19.62 (multiply(sk_c3, sk_c2) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1274])).
% 19.38/19.62 tff(1276,plain,
% 19.38/19.62 (multiply(sk_c3, sk_c2) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.38/19.62 inference(transitivity,[status(thm)],[1275, 986, 1268, 1260, 943])).
% 19.38/19.62 tff(1277,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1276])).
% 19.38/19.62 tff(1278,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1277])).
% 19.38/19.62 tff(1279,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = identity),
% 19.38/19.62 inference(transitivity,[status(thm)],[1262, 166])).
% 19.38/19.62 tff(1280,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)) = multiply(identity, multiply(sk_c2, sk_c7))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1279])).
% 19.38/19.62 tff(1281,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(identity, sk_c3)),
% 19.38/19.62 inference(symmetry,[status(thm)],[1273])).
% 19.38/19.62 tff(1282,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = sk_c3),
% 19.38/19.62 inference(transitivity,[status(thm)],[623, 1281, 61])).
% 19.38/19.62 tff(1283,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[458, 1282])).
% 19.38/19.62 tff(1284,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = sk_c3),
% 19.38/19.62 inference(transitivity,[status(thm)],[1283, 1281, 61])).
% 19.38/19.62 tff(1285,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[459, 1284])).
% 19.38/19.62 tff(1286,plain,
% 19.38/19.62 (sk_c3 = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.62 inference(transitivity,[status(thm)],[718, 1273, 468])).
% 19.38/19.62 tff(1287,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = sk_c3),
% 19.38/19.62 inference(transitivity,[status(thm)],[1270, 626, 623, 1281, 61])).
% 19.38/19.62 tff(1288,plain,
% 19.38/19.62 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(sk_c2, sk_c3)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1287])).
% 19.38/19.62 tff(1289,plain,
% 19.38/19.62 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1288])).
% 19.38/19.62 tff(1290,plain,
% 19.38/19.62 (multiply(sk_c2, sk_c3) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.62 inference(transitivity,[status(thm)],[1289, 907])).
% 19.38/19.62 tff(1291,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c3), sk_c3) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1290, 1286])).
% 19.38/19.62 tff(1292,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(sk_c2, sk_c3), sk_c3)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1287])).
% 19.38/19.62 tff(1293,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.62 inference(transitivity,[status(thm)],[890, 1292, 1291, 914, 1285, 896, 218, 167, 1263])).
% 19.38/19.62 tff(1294,plain,
% 19.38/19.62 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1293])).
% 19.38/19.62 tff(1295,plain,
% 19.38/19.62 (multiply(identity, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1280])).
% 19.38/19.62 tff(1296,plain,
% 19.38/19.62 (multiply(sk_c2, sk_c7) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))),
% 19.38/19.62 inference(transitivity,[status(thm)],[1048, 1295])).
% 19.38/19.62 tff(1297,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1296])).
% 19.38/19.62 tff(1298,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1169])).
% 19.38/19.62 tff(1299,plain,
% 19.38/19.62 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.62 inference(transitivity,[status(thm)],[695, 167, 1263])).
% 19.38/19.62 tff(1300,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), sk_c2)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1299])).
% 19.38/19.62 tff(1301,plain,
% 19.38/19.62 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1293])).
% 19.38/19.62 tff(1302,plain,
% 19.38/19.62 (sk_c2 = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.38/19.62 inference(transitivity,[status(thm)],[102, 1265])).
% 19.38/19.62 tff(1303,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1302])).
% 19.38/19.62 tff(1304,plain,
% 19.38/19.62 (multiply(multiply(sk_c8, sk_c6), sk_c2) = multiply(sk_c7, sk_c2)),
% 19.38/19.62 inference(symmetry,[status(thm)],[1260])).
% 19.38/19.62 tff(1305,plain,
% 19.38/19.62 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(sk_c7, sk_c2)),
% 19.38/19.62 inference(transitivity,[status(thm)],[944, 1304])).
% 19.38/19.62 tff(1306,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, sk_c2))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1305])).
% 19.38/19.62 tff(1307,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))) = sk_c2),
% 19.38/19.62 inference(transitivity,[status(thm)],[1306, 1121, 1303, 1120, 1301, 1266, 44])).
% 19.38/19.62 tff(1308,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), sk_c2)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1307])).
% 19.38/19.62 tff(1309,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3))),
% 19.38/19.62 inference(symmetry,[status(thm)],[972])).
% 19.38/19.62 tff(1310,plain,
% 19.38/19.62 (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.38/19.62 inference(transitivity,[status(thm)],[695, 167, 1263, 458])).
% 19.38/19.62 tff(1311,plain,
% 19.38/19.62 (multiply(multiply(inverse(sk_c2), sk_c2), sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1310])).
% 19.38/19.62 tff(1312,plain,
% 19.38/19.62 (multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)) = sk_c3),
% 19.38/19.62 inference(transitivity,[status(thm)],[968, 1311, 1281, 61])).
% 19.38/19.62 tff(1313,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c2, sk_c3), sk_c3)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1312])).
% 19.38/19.62 tff(1314,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c3), sk_c3) = multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1313])).
% 19.38/19.62 tff(1315,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c2, sk_c3), sk_c3)),
% 19.38/19.62 inference(symmetry,[status(thm)],[1291])).
% 19.38/19.62 tff(1316,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1285])).
% 19.38/19.62 tff(1317,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3))),
% 19.38/19.62 inference(transitivity,[status(thm)],[1262, 166, 436, 897, 1316, 915, 1315, 1314, 1309])).
% 19.38/19.62 tff(1318,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1317])).
% 19.38/19.62 tff(1319,plain,
% 19.38/19.62 (multiply(identity, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1264])).
% 19.38/19.62 tff(1320,plain,
% 19.38/19.62 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = sk_c8),
% 19.38/19.62 inference(transitivity,[status(thm)],[981, 1319, 1318, 963, 1308, 940, 1300, 1298, 932, 1297, 926, 1294, 1280, 882, 880])).
% 19.38/19.62 tff(1321,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c3, sk_c8)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1282, 1320])).
% 19.38/19.62 tff(1322,plain,
% 19.38/19.62 (multiply(sk_c3, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1321])).
% 19.38/19.62 tff(1323,plain,
% 19.38/19.62 (multiply(sk_c3, sk_c8) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1274, 883])).
% 19.38/19.62 tff(1324,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7)) = multiply(sk_c3, sk_c8)),
% 19.38/19.62 inference(symmetry,[status(thm)],[1323])).
% 19.38/19.62 tff(1325,plain,
% 19.38/19.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))))),
% 19.38/19.62 inference(quant_inst,[status(thm)],[])).
% 19.38/19.62 tff(1326,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))),
% 19.38/19.62 inference(unit_resolution,[status(thm)],[1325, 52])).
% 19.38/19.62 tff(1327,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1326])).
% 19.38/19.62 tff(1328,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)) = multiply(sk_c2, inverse(sk_c8))),
% 19.38/19.62 inference(transitivity,[status(thm)],[1280, 882, 459])).
% 19.38/19.62 tff(1329,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1328])).
% 19.38/19.62 tff(1330,plain,
% 19.38/19.62 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1329])).
% 19.38/19.62 tff(1331,plain,
% 19.38/19.62 (identity = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2))),
% 19.38/19.62 inference(transitivity,[status(thm)],[167, 1263, 1330, 1327, 1324, 1322, 1278])).
% 19.38/19.62 tff(1332,plain,
% 19.38/19.62 (multiply(identity, multiply(sk_c4, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)), multiply(sk_c4, sk_c7))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1331])).
% 19.38/19.62 tff(1333,plain,
% 19.38/19.62 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)), multiply(sk_c4, sk_c7)) = multiply(identity, multiply(sk_c4, sk_c7))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1332])).
% 19.38/19.62 tff(1334,plain,
% 19.38/19.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)), multiply(sk_c4, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7))))),
% 19.38/19.62 inference(quant_inst,[status(thm)],[])).
% 19.38/19.62 tff(1335,plain,
% 19.38/19.62 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)), multiply(sk_c4, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7)))),
% 19.38/19.62 inference(unit_resolution,[status(thm)],[1334, 52])).
% 19.38/19.62 tff(1336,plain,
% 19.38/19.62 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7))) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)), multiply(sk_c4, sk_c7))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1335])).
% 19.38/19.62 tff(1337,plain,
% 19.38/19.62 ((sk_c8 = inverse(sk_c8)) <=> (inverse(sk_c8) = sk_c8)),
% 19.38/19.62 inference(commutativity,[status(thm)],[])).
% 19.38/19.62 tff(1338,plain,
% 19.38/19.62 (multiply(identity, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1264])).
% 19.38/19.62 tff(1339,plain,
% 19.38/19.62 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)) = multiply(identity, multiply(sk_c2, sk_c7))),
% 19.38/19.62 inference(symmetry,[status(thm)],[1338])).
% 19.38/19.62 tff(1340,plain,
% 19.38/19.62 (inverse(sk_c3) = multiply(sk_c2, inverse(sk_c8))),
% 19.38/19.62 inference(transitivity,[status(thm)],[426, 883, 459])).
% 19.38/19.62 tff(1341,plain,
% 19.38/19.62 (multiply(inverse(sk_c3), sk_c3) = multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3)),
% 19.38/19.62 inference(monotonicity,[status(thm)],[1340])).
% 19.38/19.62 tff(1342,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 19.38/19.62 inference(symmetry,[status(thm)],[1341])).
% 19.38/19.62 tff(1343,plain,
% 19.38/19.62 (multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[459, 1282])).
% 19.38/19.63 tff(1344,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1343, 1342, 218, 167, 1263])).
% 19.38/19.63 tff(1345,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1344])).
% 19.38/19.63 tff(1346,plain,
% 19.38/19.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, sk_c7))))),
% 19.38/19.63 inference(quant_inst,[status(thm)],[])).
% 19.38/19.63 tff(1347,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, sk_c7)))),
% 19.38/19.63 inference(unit_resolution,[status(thm)],[1346, 52])).
% 19.38/19.63 tff(1348,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, sk_c7), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, sk_c7))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1347])).
% 19.38/19.63 tff(1349,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, sk_c7)) = multiply(sk_c3, sk_c8)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1282, 880])).
% 19.38/19.63 tff(1350,plain,
% 19.38/19.63 (multiply(sk_c3, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, sk_c7))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1349])).
% 19.38/19.63 tff(1351,plain,
% 19.38/19.63 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, sk_c7)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[883, 1350])).
% 19.38/19.63 tff(1352,plain,
% 19.38/19.63 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c8),
% 19.38/19.63 inference(transitivity,[status(thm)],[1351, 1348, 1345, 1339, 882, 880])).
% 19.38/19.63 tff(1353,plain,
% 19.38/19.63 ((multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7) <=> (sk_c8 = inverse(sk_c8))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1352, 324])).
% 19.38/19.63 tff(1354,plain,
% 19.38/19.63 ((multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7) <=> (inverse(sk_c8) = sk_c8)),
% 19.38/19.63 inference(transitivity,[status(thm)],[1353, 1337])).
% 19.38/19.63 tff(1355,plain,
% 19.38/19.63 ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)),
% 19.38/19.63 inference(symmetry,[status(thm)],[1354])).
% 19.38/19.63 tff(1356,plain,
% 19.38/19.63 (multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)) = identity),
% 19.38/19.63 inference(transitivity,[status(thm)],[684, 1342, 218])).
% 19.38/19.63 tff(1357,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(identity, inverse(sk_c1))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1356])).
% 19.38/19.63 tff(1358,plain,
% 19.38/19.63 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1232, 457, 1262, 166, 436, 1341, 54])).
% 19.38/19.63 tff(1359,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), inverse(sk_c1)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1358])).
% 19.38/19.63 tff(1360,plain,
% 19.38/19.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), inverse(sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, inverse(sk_c1))))),
% 19.38/19.63 inference(quant_inst,[status(thm)],[])).
% 19.38/19.63 tff(1361,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), inverse(sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, inverse(sk_c1)))),
% 19.38/19.63 inference(unit_resolution,[status(thm)],[1360, 52])).
% 19.38/19.63 tff(1362,plain,
% 19.38/19.63 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, inverse(sk_c1))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), inverse(sk_c1))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1361])).
% 19.38/19.63 tff(1363,plain,
% 19.38/19.63 (multiply(identity, inverse(sk_c1)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1357])).
% 19.38/19.63 tff(1364,plain,
% 19.38/19.63 (inverse(sk_c1) = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1000, 1363, 484, 482])).
% 19.38/19.63 tff(1365,plain,
% 19.38/19.63 (multiply(sk_c7, inverse(sk_c1)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1364])).
% 19.38/19.63 tff(1366,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(sk_c7, inverse(sk_c1))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1365])).
% 19.38/19.63 tff(1367,plain,
% 19.38/19.63 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(sk_c7, inverse(sk_c1))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1004, 479, 1366])).
% 19.38/19.63 tff(1368,plain,
% 19.38/19.63 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(identity, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1279])).
% 19.38/19.63 tff(1369,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1262, 166, 436, 1341, 54])).
% 19.38/19.63 tff(1370,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1369])).
% 19.38/19.63 tff(1371,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = sk_c3),
% 19.38/19.63 inference(transitivity,[status(thm)],[1370, 626, 623, 1281, 61])).
% 19.38/19.63 tff(1372,plain,
% 19.38/19.63 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(sk_c2, sk_c3)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1371])).
% 19.38/19.63 tff(1373,plain,
% 19.38/19.63 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1372])).
% 19.38/19.63 tff(1374,plain,
% 19.38/19.63 (multiply(sk_c2, sk_c3) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1373, 907])).
% 19.38/19.63 tff(1375,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, sk_c3), sk_c3) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1374, 1286])).
% 19.38/19.63 tff(1376,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.63 inference(transitivity,[status(thm)],[972, 1313, 1375, 914, 1285, 1342, 218, 167, 1263])).
% 19.38/19.63 tff(1377,plain,
% 19.38/19.63 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1376])).
% 19.38/19.63 tff(1378,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), sk_c2)),
% 19.38/19.63 inference(symmetry,[status(thm)],[1303])).
% 19.38/19.63 tff(1379,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(sk_c2, sk_c3), sk_c3)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1371])).
% 19.38/19.63 tff(1380,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.63 inference(transitivity,[status(thm)],[890, 1379, 1375, 914, 1285, 1342, 218, 167, 1263])).
% 19.38/19.63 tff(1381,plain,
% 19.38/19.63 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1380])).
% 19.38/19.63 tff(1382,plain,
% 19.38/19.63 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.38/19.63 inference(symmetry,[status(thm)],[1381])).
% 19.38/19.63 tff(1383,plain,
% 19.38/19.63 (sk_c2 = multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.63 inference(transitivity,[status(thm)],[102, 1265, 1382, 955, 1378, 949, 947])).
% 19.38/19.63 tff(1384,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1383])).
% 19.38/19.63 tff(1385,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(inverse(sk_c2), sk_c2)),
% 19.38/19.63 inference(transitivity,[status(thm)],[1262, 166, 696])).
% 19.38/19.63 tff(1386,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), sk_c2))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1385])).
% 19.38/19.63 tff(1387,plain,
% 19.38/19.63 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)) = multiply(sk_c2, sk_c7)),
% 19.38/19.63 inference(transitivity,[status(thm)],[1339, 882])).
% 19.38/19.63 tff(1388,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c2, sk_c7))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1387])).
% 19.38/19.63 tff(1389,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, sk_c3), sk_c3) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1379])).
% 19.38/19.63 tff(1390,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c2, sk_c3), sk_c3)),
% 19.38/19.63 inference(symmetry,[status(thm)],[1375])).
% 19.38/19.63 tff(1391,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1262, 166, 436, 1341, 1316, 915, 1390, 1389, 891])).
% 19.38/19.63 tff(1392,plain,
% 19.38/19.63 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1391])).
% 19.38/19.63 tff(1393,assumption,(~(inverse(sk_c4) = sk_c8)), introduced(assumption)).
% 19.38/19.63 tff(1394,plain,
% 19.38/19.63 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 19.38/19.63 inference(rewrite,[status(thm)],[])).
% 19.38/19.63 tff(1395,plain,
% 19.38/19.63 (((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8))),
% 19.38/19.63 inference(rewrite,[status(thm)],[])).
% 19.38/19.63 tff(1396,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_26')).
% 19.38/19.63 tff(1397,plain,
% 19.38/19.63 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 19.38/19.63 inference(modus_ponens,[status(thm)],[1396, 1395])).
% 19.38/19.63 tff(1398,plain,
% 19.38/19.63 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c8)),
% 19.38/19.63 inference(modus_ponens,[status(thm)],[1397, 1394])).
% 19.38/19.63 tff(1399,plain,
% 19.38/19.63 (multiply(sk_c3, sk_c7) = sk_c8),
% 19.38/19.63 inference(unit_resolution,[status(thm)],[1398, 1393])).
% 19.38/19.63 tff(1400,plain,
% 19.38/19.63 (multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)) = multiply(inverse(sk_c2), sk_c2)),
% 19.38/19.63 inference(transitivity,[status(thm)],[684, 1342, 218, 696])).
% 19.38/19.63 tff(1401,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(inverse(sk_c2), sk_c2))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1400])).
% 19.38/19.63 tff(1402,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(inverse(sk_c2), sk_c2)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1401])).
% 19.38/19.63 tff(1403,plain,
% 19.38/19.63 (multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2) = sk_c3),
% 19.38/19.63 inference(transitivity,[status(thm)],[701, 1402, 626, 623, 1281, 61])).
% 19.38/19.63 tff(1404,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2), sk_c7) = multiply(sk_c3, sk_c7)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1403])).
% 19.38/19.63 tff(1405,plain,
% 19.38/19.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2), sk_c7) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c7)))),
% 19.38/19.63 inference(quant_inst,[status(thm)],[])).
% 19.38/19.63 tff(1406,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2), sk_c7) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c7))),
% 19.38/19.63 inference(unit_resolution,[status(thm)],[1405, 52])).
% 19.38/19.63 tff(1407,plain,
% 19.38/19.63 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2), sk_c7)),
% 19.38/19.63 inference(symmetry,[status(thm)],[1406])).
% 19.38/19.63 tff(1408,plain,
% 19.38/19.63 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1392])).
% 19.38/19.63 tff(1409,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1388])).
% 19.38/19.63 tff(1410,plain,
% 19.38/19.63 (multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = inverse(sk_c1)),
% 19.38/19.63 inference(transitivity,[status(thm)],[481, 493, 1357, 999])).
% 19.38/19.63 tff(1411,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1410])).
% 19.38/19.63 tff(1412,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1411, 98, 167, 1263])).
% 19.38/19.63 tff(1413,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1412])).
% 19.38/19.63 tff(1414,plain,
% 19.38/19.63 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c2, sk_c3)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1282])).
% 19.38/19.63 tff(1415,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1414])).
% 19.38/19.63 tff(1416,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1364])).
% 19.38/19.63 tff(1417,plain,
% 19.38/19.63 (multiply(identity, multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1272])).
% 19.38/19.63 tff(1418,plain,
% 19.38/19.63 (multiply(sk_c3, inverse(sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.63 inference(transitivity,[status(thm)],[491, 1417, 490, 469, 1416])).
% 19.38/19.63 tff(1419,plain,
% 19.38/19.63 (multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1418])).
% 19.38/19.63 tff(1420,plain,
% 19.38/19.63 (multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1419, 1032, 1415])).
% 19.38/19.63 tff(1421,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1) = multiply(multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1420])).
% 19.38/19.63 tff(1422,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1))) = multiply(identity, multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1417])).
% 19.38/19.63 tff(1423,plain,
% 19.38/19.63 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(sk_c3, inverse(sk_c1))),
% 19.38/19.63 inference(transitivity,[status(thm)],[473, 470, 466, 1422, 455])).
% 19.38/19.63 tff(1424,plain,
% 19.38/19.63 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(sk_c2, multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1423])).
% 19.38/19.63 tff(1425,plain,
% 19.38/19.63 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1424])).
% 19.38/19.63 tff(1426,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1) = multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1367])).
% 19.38/19.63 tff(1427,plain,
% 19.38/19.63 (multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)),
% 19.38/19.63 inference(symmetry,[status(thm)],[1426])).
% 19.38/19.63 tff(1428,plain,
% 19.38/19.63 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.38/19.63 inference(transitivity,[status(thm)],[98, 436, 1341, 54])).
% 19.38/19.63 tff(1429,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(inverse(sk_c1), sk_c1)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1428])).
% 19.38/19.63 tff(1430,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(inverse(sk_c1), sk_c1))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1429])).
% 19.38/19.63 tff(1431,plain,
% 19.38/19.63 (sk_c3 = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)),
% 19.38/19.63 inference(transitivity,[status(thm)],[718, 1273, 468, 625, 1430, 1010, 1427])).
% 19.38/19.63 tff(1432,plain,
% 19.38/19.63 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1431])).
% 19.38/19.63 tff(1433,plain,
% 19.38/19.63 (multiply(sk_c2, sk_c3) = multiply(sk_c2, sk_c7)),
% 19.38/19.63 inference(transitivity,[status(thm)],[1432, 1061, 1425, 1421, 1042, 1413, 935, 932, 1409, 926, 1408, 1339, 882])).
% 19.38/19.63 tff(1434,plain,
% 19.38/19.63 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c7))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1433])).
% 19.38/19.63 tff(1435,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(inverse(sk_c2), sk_c2), sk_c3)),
% 19.38/19.63 inference(symmetry,[status(thm)],[1311])).
% 19.38/19.63 tff(1436,plain,
% 19.38/19.63 (sk_c3 = multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))),
% 19.38/19.63 inference(transitivity,[status(thm)],[718, 1273, 1435, 967])).
% 19.38/19.63 tff(1437,plain,
% 19.38/19.63 (multiply(inverse(sk_c8), sk_c3) = multiply(sk_c7, multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[323, 1436])).
% 19.38/19.63 tff(1438,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(inverse(sk_c8), sk_c3)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[324, 1284])).
% 19.38/19.63 tff(1439,plain,
% 19.38/19.63 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1370])).
% 19.38/19.63 tff(1440,plain,
% 19.38/19.63 (sk_c3 = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.63 inference(transitivity,[status(thm)],[718, 1273, 468, 625, 1439])).
% 19.38/19.63 tff(1441,plain,
% 19.38/19.63 (multiply(sk_c3, sk_c3) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1440, 1286])).
% 19.38/19.63 tff(1442,plain,
% 19.38/19.63 (multiply(sk_c3, sk_c3) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1441, 1213, 1438, 1437, 1140, 1434, 1407, 1404, 1399, 883, 1048, 1338, 1392, 925, 1388, 931, 934, 1386, 1060, 1384, 1052, 1377, 1368, 980])).
% 19.38/19.63 tff(1443,plain,
% 19.38/19.63 (multiply(multiply(sk_c3, sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, inverse(sk_c1)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1442, 1367])).
% 19.38/19.63 tff(1444,plain,
% 19.38/19.63 (multiply(sk_c3, inverse(sk_c1)) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.38/19.63 inference(transitivity,[status(thm)],[491, 1417, 490, 469, 472])).
% 19.38/19.63 tff(1445,plain,
% 19.38/19.63 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c3, sk_c3)),
% 19.38/19.63 inference(symmetry,[status(thm)],[1441])).
% 19.38/19.63 tff(1446,plain,
% 19.38/19.63 (multiply(inverse(sk_c8), sk_c3) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1438])).
% 19.38/19.63 tff(1447,plain,
% 19.38/19.63 (multiply(sk_c8, multiply(sk_c6, sk_c3)) = multiply(sk_c3, sk_c3)),
% 19.38/19.63 inference(transitivity,[status(thm)],[1147, 1144, 1446, 1214, 1445])).
% 19.38/19.63 tff(1448,plain,
% 19.38/19.63 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(sk_c3, sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1447, 1444])).
% 19.38/19.63 tff(1449,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1416])).
% 19.38/19.63 tff(1450,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(sk_c3, inverse(sk_c1))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1449, 470, 466, 1422, 455])).
% 19.38/19.63 tff(1451,plain,
% 19.38/19.63 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1)))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1450])).
% 19.38/19.63 tff(1452,plain,
% 19.38/19.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))))),
% 19.38/19.63 inference(quant_inst,[status(thm)],[])).
% 19.38/19.63 tff(1453,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))))),
% 19.38/19.63 inference(unit_resolution,[status(thm)],[1452, 52])).
% 19.38/19.63 tff(1454,plain,
% 19.38/19.63 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1282])).
% 19.38/19.63 tff(1455,plain,
% 19.38/19.63 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.38/19.63 inference(symmetry,[status(thm)],[1454])).
% 19.38/19.63 tff(1456,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1455])).
% 19.38/19.63 tff(1457,plain,
% 19.38/19.63 (((inverse(sk_c1) = sk_c2) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c2) | (inverse(sk_c4) = sk_c8))),
% 19.38/19.63 inference(rewrite,[status(thm)],[])).
% 19.38/19.63 tff(1458,axiom,((inverse(sk_c1) = sk_c2) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_8')).
% 19.38/19.63 tff(1459,plain,
% 19.38/19.63 ((inverse(sk_c1) = sk_c2) | (inverse(sk_c4) = sk_c8)),
% 19.38/19.63 inference(modus_ponens,[status(thm)],[1458, 1457])).
% 19.38/19.63 tff(1460,plain,
% 19.38/19.63 (inverse(sk_c1) = sk_c2),
% 19.38/19.63 inference(unit_resolution,[status(thm)],[1459, 1393])).
% 19.38/19.63 tff(1461,plain,
% 19.38/19.63 (sk_c2 = inverse(sk_c1)),
% 19.38/19.63 inference(symmetry,[status(thm)],[1460])).
% 19.38/19.63 tff(1462,plain,
% 19.38/19.63 (sk_c2 = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.38/19.63 inference(transitivity,[status(thm)],[1461, 1000, 1363, 484, 482])).
% 19.38/19.63 tff(1463,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1462])).
% 19.38/19.63 tff(1464,plain,
% 19.38/19.63 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)),
% 19.38/19.63 inference(monotonicity,[status(thm)],[1371])).
% 19.38/19.63 tff(1465,plain,
% 19.38/19.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.38/19.63 inference(quant_inst,[status(thm)],[])).
% 19.38/19.63 tff(1466,plain,
% 19.38/19.63 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.38/19.63 inference(unit_resolution,[status(thm)],[1465, 52])).
% 19.38/19.63 tff(1467,plain,
% 19.38/19.64 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c7) = multiply(multiply(sk_c3, sk_c3), sk_c7)),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1447])).
% 19.38/19.64 tff(1468,plain,
% 19.38/19.64 (multiply(multiply(sk_c3, sk_c3), sk_c7) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c7)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1467])).
% 19.38/19.64 tff(1469,plain,
% 19.38/19.64 (multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1468])).
% 19.38/19.64 tff(1470,plain,
% 19.38/19.64 (multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)),
% 19.38/19.64 inference(transitivity,[status(thm)],[1469, 1466, 1464])).
% 19.38/19.64 tff(1471,plain,
% 19.38/19.64 (multiply(multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2)),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1470])).
% 19.38/19.64 tff(1472,plain,
% 19.38/19.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)))),
% 19.38/19.64 inference(quant_inst,[status(thm)],[])).
% 19.38/19.64 tff(1473,plain,
% 19.38/19.64 (multiply(multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.64 inference(unit_resolution,[status(thm)],[1472, 52])).
% 19.38/19.64 tff(1474,plain,
% 19.38/19.64 (multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1473])).
% 19.38/19.64 tff(1475,plain,
% 19.38/19.64 (multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), sk_c2) = multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1302])).
% 19.38/19.64 tff(1476,plain,
% 19.38/19.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), sk_c2) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c7, sk_c2)))),
% 19.38/19.64 inference(quant_inst,[status(thm)],[])).
% 19.38/19.64 tff(1477,plain,
% 19.38/19.64 (multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), sk_c2) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c7, sk_c2))),
% 19.38/19.64 inference(unit_resolution,[status(thm)],[1476, 52])).
% 19.38/19.64 tff(1478,plain,
% 19.38/19.64 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), sk_c2)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1477])).
% 19.38/19.64 tff(1479,plain,
% 19.38/19.64 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c7, sk_c2))),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1447, 945])).
% 19.38/19.64 tff(1480,plain,
% 19.38/19.64 (multiply(sk_c7, multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))) = multiply(inverse(sk_c8), sk_c3)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1437])).
% 19.38/19.64 tff(1481,plain,
% 19.38/19.64 (multiply(sk_c8, sk_c6) = multiply(multiply(sk_c2, sk_c7), sk_c6)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1123])).
% 19.38/19.64 tff(1482,plain,
% 19.38/19.64 (sk_c7 = multiply(sk_c2, multiply(sk_c7, sk_c6))),
% 19.38/19.64 inference(transitivity,[status(thm)],[875, 1481, 1125])).
% 19.38/19.64 tff(1483,plain,
% 19.38/19.64 (multiply(sk_c7, inverse(sk_c2)) = multiply(multiply(sk_c2, multiply(sk_c7, sk_c6)), inverse(sk_c2))),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1482])).
% 19.38/19.64 tff(1484,plain,
% 19.38/19.64 (multiply(multiply(sk_c2, multiply(sk_c7, sk_c6)), inverse(sk_c2)) = multiply(sk_c7, inverse(sk_c2))),
% 19.38/19.64 inference(symmetry,[status(thm)],[1483])).
% 19.38/19.64 tff(1485,plain,
% 19.38/19.64 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))) = multiply(sk_c7, inverse(sk_c2))),
% 19.38/19.64 inference(transitivity,[status(thm)],[1131, 1484])).
% 19.38/19.64 tff(1486,plain,
% 19.38/19.64 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3))),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1485])).
% 19.38/19.64 tff(1487,plain,
% 19.38/19.64 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)) = multiply(sk_c8, multiply(sk_c6, sk_c3))),
% 19.38/19.64 inference(transitivity,[status(thm)],[1486, 1139, 1480, 1150, 1146])).
% 19.38/19.64 tff(1488,plain,
% 19.38/19.64 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1487])).
% 19.38/19.64 tff(1489,plain,
% 19.38/19.64 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.64 inference(symmetry,[status(thm)],[1135])).
% 19.38/19.64 tff(1490,plain,
% 19.38/19.64 (multiply(sk_c7, inverse(sk_c2)) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))),
% 19.38/19.64 inference(transitivity,[status(thm)],[1483, 1130])).
% 19.38/19.64 tff(1491,plain,
% 19.38/19.64 (multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1490, 1383])).
% 19.38/19.64 tff(1492,plain,
% 19.38/19.64 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)) = multiply(sk_c2, sk_c3)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1432])).
% 19.38/19.64 tff(1493,plain,
% 19.38/19.64 (multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1425])).
% 19.38/19.64 tff(1494,plain,
% 19.38/19.64 (multiply(multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1421])).
% 19.38/19.64 tff(1495,plain,
% 19.38/19.64 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1))),
% 19.38/19.64 inference(symmetry,[status(thm)],[1413])).
% 19.38/19.64 tff(1496,plain,
% 19.38/19.64 (multiply(sk_c2, sk_c7) = multiply(sk_c2, sk_c3)),
% 19.38/19.64 inference(transitivity,[status(thm)],[1048, 1338, 1392, 925, 1388, 931, 934, 1495, 1043, 1494, 1493, 1018, 1492])).
% 19.38/19.64 tff(1497,plain,
% 19.38/19.64 (multiply(inverse(sk_c2), multiply(sk_c2, sk_c7)) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1496])).
% 19.38/19.64 tff(1498,plain,
% 19.38/19.64 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7) = multiply(multiply(inverse(sk_c2), sk_c2), sk_c7)),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1385])).
% 19.38/19.64 tff(1499,plain,
% 19.38/19.64 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7)),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1264])).
% 19.38/19.64 tff(1500,plain,
% 19.38/19.64 (inverse(sk_c8) = inverse(sk_c1)),
% 19.38/19.64 inference(transitivity,[status(thm)],[323, 311, 1499, 1498, 1185, 1497, 968, 1311, 468, 625, 1401, 717, 1491, 1489, 1488, 1479, 1478, 1475, 1474, 1471, 1463, 1456, 1453, 1451, 1448, 1443, 1362, 1359, 1357, 999])).
% 19.38/19.64 tff(1501,plain,
% 19.38/19.64 ((inverse(sk_c8) = sk_c8) <=> (inverse(sk_c1) = sk_c8)),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1500])).
% 19.38/19.64 tff(1502,plain,
% 19.38/19.64 ((inverse(sk_c1) = sk_c8) <=> (inverse(sk_c8) = sk_c8)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1501])).
% 19.38/19.64 tff(1503,plain,
% 19.38/19.64 ((inverse(sk_c1) = sk_c8) <=> (multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)),
% 19.38/19.64 inference(transitivity,[status(thm)],[1502, 1355])).
% 19.38/19.64 tff(1504,plain,
% 19.38/19.64 (multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), sk_c2)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.38/19.64 inference(symmetry,[status(thm)],[1386])).
% 19.38/19.64 tff(1505,plain,
% 19.38/19.64 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), sk_c2)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1384])).
% 19.38/19.64 tff(1506,plain,
% 19.38/19.64 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.64 inference(symmetry,[status(thm)],[1377])).
% 19.38/19.64 tff(1507,plain,
% 19.38/19.64 (multiply(identity, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.38/19.64 inference(symmetry,[status(thm)],[1368])).
% 19.38/19.64 tff(1508,plain,
% 19.38/19.64 (multiply(sk_c7, sk_c2) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1302])).
% 19.38/19.64 tff(1509,plain,
% 19.38/19.64 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(sk_c7, sk_c2)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1508])).
% 19.38/19.64 tff(1510,plain,
% 19.38/19.64 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(sk_c3, sk_c2)),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1371])).
% 19.38/19.64 tff(1511,plain,
% 19.38/19.64 (multiply(sk_c3, sk_c2) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1510])).
% 19.38/19.64 tff(1512,plain,
% 19.38/19.64 (multiply(sk_c3, sk_c2) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), sk_c2)),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1431])).
% 19.38/19.64 tff(1513,plain,
% 19.38/19.64 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), sk_c2) = multiply(sk_c3, sk_c2)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1512])).
% 19.38/19.64 tff(1514,plain,
% 19.38/19.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), sk_c2) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2)))),
% 19.38/19.64 inference(quant_inst,[status(thm)],[])).
% 19.38/19.64 tff(1515,plain,
% 19.38/19.64 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), sk_c2) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2))),
% 19.38/19.64 inference(unit_resolution,[status(thm)],[1514, 52])).
% 19.38/19.64 tff(1516,plain,
% 19.38/19.64 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), sk_c2)),
% 19.38/19.64 inference(symmetry,[status(thm)],[1515])).
% 19.38/19.64 tff(1517,plain,
% 19.38/19.64 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.38/19.64 inference(transitivity,[status(thm)],[1004, 479])).
% 19.38/19.64 tff(1518,plain,
% 19.38/19.64 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))))),
% 19.38/19.64 inference(monotonicity,[status(thm)],[1166, 1517])).
% 19.38/19.64 tff(1519,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1518])).
% 19.48/19.64 tff(1520,plain,
% 19.48/19.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))))),
% 19.48/19.64 inference(quant_inst,[status(thm)],[])).
% 19.48/19.64 tff(1521,plain,
% 19.48/19.64 (multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))))),
% 19.48/19.64 inference(unit_resolution,[status(thm)],[1520, 52])).
% 19.48/19.64 tff(1522,plain,
% 19.48/19.64 (multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.48/19.64 inference(monotonicity,[status(thm)],[1358])).
% 19.48/19.64 tff(1523,plain,
% 19.48/19.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7)))),
% 19.48/19.64 inference(quant_inst,[status(thm)],[])).
% 19.48/19.64 tff(1524,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7))),
% 19.48/19.64 inference(unit_resolution,[status(thm)],[1523, 52])).
% 19.48/19.64 tff(1525,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.48/19.64 inference(transitivity,[status(thm)],[1524, 1522, 626])).
% 19.48/19.64 tff(1526,plain,
% 19.48/19.64 (multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.48/19.64 inference(monotonicity,[status(thm)],[1525, 1410])).
% 19.48/19.64 tff(1527,plain,
% 19.48/19.64 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1526])).
% 19.48/19.64 tff(1528,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))),
% 19.48/19.64 inference(transitivity,[status(thm)],[473, 1527, 1521, 1519])).
% 19.48/19.64 tff(1529,plain,
% 19.48/19.64 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2)) = multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), multiply(sk_c1, sk_c2))),
% 19.48/19.64 inference(monotonicity,[status(thm)],[1528])).
% 19.48/19.64 tff(1530,plain,
% 19.48/19.64 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), multiply(sk_c1, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1529])).
% 19.48/19.64 tff(1531,plain,
% 19.48/19.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), multiply(sk_c1, sk_c2)) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2))))),
% 19.48/19.64 inference(quant_inst,[status(thm)],[])).
% 19.48/19.64 tff(1532,plain,
% 19.48/19.64 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), multiply(sk_c1, sk_c2)) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2)))),
% 19.48/19.64 inference(unit_resolution,[status(thm)],[1531, 52])).
% 19.48/19.64 tff(1533,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2))) = multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), multiply(sk_c1, sk_c2))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1532])).
% 19.48/19.64 tff(1534,plain,
% 19.48/19.64 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2)) = multiply(sk_c2, sk_c3)),
% 19.48/19.64 inference(transitivity,[status(thm)],[1516, 1513, 1511, 986, 1509, 982, 943, 981, 1507, 1506, 963, 1505, 940, 1504, 1495, 1043, 1494, 1493, 1018, 1492])).
% 19.48/19.64 tff(1535,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c3))),
% 19.48/19.64 inference(monotonicity,[status(thm)],[1534])).
% 19.48/19.64 tff(1536,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2)))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1535])).
% 19.48/19.64 tff(1537,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7))),
% 19.48/19.64 inference(monotonicity,[status(thm)],[1166, 1433])).
% 19.48/19.64 tff(1538,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c3))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1537])).
% 19.48/19.64 tff(1539,plain,
% 19.48/19.64 (multiply(multiply(inverse(sk_c8), sk_c7), sk_c2) = multiply(multiply(sk_c7, sk_c7), sk_c2)),
% 19.48/19.64 inference(monotonicity,[status(thm)],[631])).
% 19.48/19.64 tff(1540,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, sk_c7), sk_c2) = multiply(multiply(inverse(sk_c8), sk_c7), sk_c2)),
% 19.48/19.64 inference(symmetry,[status(thm)],[1539])).
% 19.48/19.64 tff(1541,plain,
% 19.48/19.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c2) = multiply(sk_c7, multiply(sk_c7, sk_c2)))),
% 19.48/19.64 inference(quant_inst,[status(thm)],[])).
% 19.48/19.64 tff(1542,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, sk_c7), sk_c2) = multiply(sk_c7, multiply(sk_c7, sk_c2))),
% 19.48/19.64 inference(unit_resolution,[status(thm)],[1541, 52])).
% 19.48/19.64 tff(1543,plain,
% 19.48/19.64 (multiply(sk_c7, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c7, sk_c7), sk_c2)),
% 19.48/19.64 inference(symmetry,[status(thm)],[1542])).
% 19.48/19.64 tff(1544,plain,
% 19.48/19.64 (multiply(sk_c7, multiply(sk_c7, sk_c2)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.64 inference(monotonicity,[status(thm)],[1106])).
% 19.48/19.64 tff(1545,plain,
% 19.48/19.64 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(sk_c7, sk_c2))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1544])).
% 19.48/19.64 tff(1546,plain,
% 19.48/19.64 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(inverse(sk_c8), sk_c7), sk_c2)),
% 19.48/19.64 inference(transitivity,[status(thm)],[1545, 1543, 1540])).
% 19.48/19.64 tff(1547,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c2, sk_c7))),
% 19.48/19.64 inference(monotonicity,[status(thm)],[1546])).
% 19.48/19.64 tff(1548,plain,
% 19.48/19.64 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1547])).
% 19.48/19.64 tff(1549,plain,
% 19.48/19.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c7))))),
% 19.48/19.64 inference(quant_inst,[status(thm)],[])).
% 19.48/19.64 tff(1550,plain,
% 19.48/19.64 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.48/19.64 inference(unit_resolution,[status(thm)],[1549, 52])).
% 19.48/19.64 tff(1551,plain,
% 19.48/19.64 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c2, sk_c7))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1550])).
% 19.48/19.64 tff(1552,plain,
% 19.48/19.64 (multiply(sk_c2, multiply(sk_c8, sk_c6)) = multiply(sk_c2, sk_c7)),
% 19.48/19.64 inference(monotonicity,[status(thm)],[821])).
% 19.48/19.64 tff(1553,plain,
% 19.48/19.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c8), sk_c6) = multiply(sk_c2, multiply(sk_c8, sk_c6)))),
% 19.48/19.64 inference(quant_inst,[status(thm)],[])).
% 19.48/19.64 tff(1554,plain,
% 19.48/19.64 (multiply(multiply(sk_c2, sk_c8), sk_c6) = multiply(sk_c2, multiply(sk_c8, sk_c6))),
% 19.48/19.64 inference(unit_resolution,[status(thm)],[1553, 52])).
% 19.48/19.64 tff(1555,plain,
% 19.48/19.64 (multiply(multiply(sk_c2, sk_c8), sk_c6) = sk_c8),
% 19.48/19.64 inference(transitivity,[status(thm)],[1554, 1552, 880])).
% 19.48/19.64 tff(1556,plain,
% 19.48/19.64 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)) = multiply(sk_c2, sk_c8)),
% 19.48/19.64 inference(monotonicity,[status(thm)],[1555])).
% 19.48/19.64 tff(1557,plain,
% 19.48/19.64 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1556])).
% 19.48/19.64 tff(1558,plain,
% 19.48/19.64 (multiply(sk_c2, multiply(sk_c2, sk_c7)) = multiply(sk_c2, sk_c8)),
% 19.48/19.64 inference(monotonicity,[status(thm)],[880])).
% 19.48/19.64 tff(1559,plain,
% 19.48/19.64 (multiply(sk_c2, multiply(sk_c2, sk_c7)) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))),
% 19.48/19.64 inference(transitivity,[status(thm)],[1558, 1557])).
% 19.48/19.64 tff(1560,plain,
% 19.48/19.64 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c7))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.64 inference(monotonicity,[status(thm)],[1559])).
% 19.48/19.64 tff(1561,plain,
% 19.48/19.64 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1560])).
% 19.48/19.64 tff(1562,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3))),
% 19.48/19.64 inference(symmetry,[status(thm)],[1434])).
% 19.48/19.64 tff(1563,plain,
% 19.48/19.64 (multiply(sk_c3, sk_c7) = multiply(multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2), sk_c7)),
% 19.48/19.64 inference(symmetry,[status(thm)],[1404])).
% 19.48/19.64 tff(1564,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c7) = multiply(sk_c3, sk_c7)),
% 19.48/19.64 inference(monotonicity,[status(thm)],[1371])).
% 19.48/19.64 tff(1565,plain,
% 19.48/19.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7)))),
% 19.48/19.64 inference(quant_inst,[status(thm)],[])).
% 19.48/19.64 tff(1566,plain,
% 19.48/19.64 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7))),
% 19.48/19.64 inference(unit_resolution,[status(thm)],[1565, 52])).
% 19.48/19.64 tff(1567,plain,
% 19.48/19.64 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c7)),
% 19.48/19.64 inference(symmetry,[status(thm)],[1566])).
% 19.48/19.64 tff(1568,plain,
% 19.48/19.64 (sk_c7 = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7)),
% 19.48/19.65 inference(transitivity,[status(thm)],[311, 1499])).
% 19.48/19.65 tff(1569,plain,
% 19.48/19.65 (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[323, 1568])).
% 19.48/19.65 tff(1570,plain,
% 19.48/19.65 (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c3, sk_c3)),
% 19.48/19.65 inference(transitivity,[status(thm)],[1569, 1567, 1564, 1563, 1406, 1562, 1139, 1480, 1446, 1214, 1445])).
% 19.48/19.65 tff(1571,plain,
% 19.48/19.65 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1570])).
% 19.48/19.65 tff(1572,plain,
% 19.48/19.65 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1571])).
% 19.48/19.65 tff(1573,plain,
% 19.48/19.65 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.48/19.65 inference(symmetry,[status(thm)],[986])).
% 19.48/19.65 tff(1574,plain,
% 19.48/19.65 (multiply(sk_c3, sk_c3) = multiply(sk_c3, sk_c2)),
% 19.48/19.65 inference(transitivity,[status(thm)],[1441, 1213, 1438, 1437, 1140, 1434, 1407, 1404, 1399, 883, 1048, 1338, 1392, 925, 1388, 931, 934, 1386, 1060, 1384, 1052, 1377, 1368, 980, 944, 941, 1508, 1573, 1510])).
% 19.48/19.65 tff(1575,plain,
% 19.48/19.65 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1574])).
% 19.48/19.65 tff(1576,plain,
% 19.48/19.65 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1575])).
% 19.48/19.65 tff(1577,plain,
% 19.48/19.65 (multiply(sk_c3, sk_c2) = multiply(sk_c2, sk_c3)),
% 19.48/19.65 inference(transitivity,[status(thm)],[1511, 986, 1509, 982, 943, 981, 1507, 1506, 963, 1505, 940, 1504, 1495, 1043, 1494, 1493, 1018, 1492])).
% 19.48/19.65 tff(1578,plain,
% 19.48/19.65 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1577])).
% 19.48/19.65 tff(1579,plain,
% 19.48/19.65 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1578])).
% 19.48/19.65 tff(1580,plain,
% 19.48/19.65 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7) = sk_c3),
% 19.48/19.65 inference(transitivity,[status(thm)],[1524, 1522, 626, 623, 1281, 61])).
% 19.48/19.65 tff(1581,plain,
% 19.48/19.65 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1580])).
% 19.48/19.65 tff(1582,plain,
% 19.48/19.65 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1581])).
% 19.48/19.65 tff(1583,plain,
% 19.48/19.65 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1582])).
% 19.48/19.65 tff(1584,plain,
% 19.48/19.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))))),
% 19.48/19.65 inference(quant_inst,[status(thm)],[])).
% 19.48/19.65 tff(1585,plain,
% 19.48/19.65 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)))),
% 19.48/19.65 inference(unit_resolution,[status(thm)],[1584, 52])).
% 19.48/19.65 tff(1586,plain,
% 19.48/19.65 (multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1585])).
% 19.48/19.65 tff(1587,plain,
% 19.48/19.65 (multiply(sk_c8, multiply(sk_c6, sk_c3)) = multiply(inverse(sk_c8), sk_c3)),
% 19.48/19.65 inference(transitivity,[status(thm)],[1147, 1144])).
% 19.48/19.65 tff(1588,plain,
% 19.48/19.65 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1587])).
% 19.48/19.65 tff(1589,plain,
% 19.48/19.65 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.48/19.65 inference(transitivity,[status(thm)],[1588, 684, 1342, 218, 167, 1263, 458])).
% 19.48/19.65 tff(1590,plain,
% 19.48/19.65 (multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))), sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1589])).
% 19.48/19.65 tff(1591,plain,
% 19.48/19.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))), sk_c3) = multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)))),
% 19.48/19.65 inference(quant_inst,[status(thm)],[])).
% 19.48/19.65 tff(1592,plain,
% 19.48/19.65 (multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))), sk_c3) = multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))),
% 19.48/19.65 inference(unit_resolution,[status(thm)],[1591, 52])).
% 19.48/19.65 tff(1593,plain,
% 19.48/19.65 (multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))), sk_c3)),
% 19.48/19.65 inference(symmetry,[status(thm)],[1592])).
% 19.48/19.65 tff(1594,plain,
% 19.48/19.65 (multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = sk_c3),
% 19.48/19.65 inference(transitivity,[status(thm)],[1593, 1590, 1281, 61])).
% 19.48/19.65 tff(1595,plain,
% 19.48/19.65 (multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))) = multiply(sk_c2, sk_c3)),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1594])).
% 19.48/19.65 tff(1596,plain,
% 19.48/19.65 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1595])).
% 19.48/19.65 tff(1597,plain,
% 19.48/19.65 (multiply(sk_c2, sk_c3) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))),
% 19.48/19.65 inference(transitivity,[status(thm)],[1596, 1586, 1583])).
% 19.48/19.65 tff(1598,plain,
% 19.48/19.65 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1597])).
% 19.48/19.65 tff(1599,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1598])).
% 19.48/19.65 tff(1600,plain,
% 19.48/19.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.48/19.65 inference(quant_inst,[status(thm)],[])).
% 19.48/19.65 tff(1601,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.48/19.65 inference(unit_resolution,[status(thm)],[1600, 52])).
% 19.48/19.65 tff(1602,plain,
% 19.48/19.65 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1601])).
% 19.48/19.65 tff(1603,plain,
% 19.48/19.65 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)) = multiply(sk_c2, inverse(sk_c8))),
% 19.48/19.65 inference(transitivity,[status(thm)],[1339, 882, 459])).
% 19.48/19.65 tff(1604,plain,
% 19.48/19.65 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1603])).
% 19.48/19.65 tff(1605,plain,
% 19.48/19.65 (multiply(sk_c3, sk_c8) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1440, 883])).
% 19.48/19.65 tff(1606,plain,
% 19.48/19.65 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)),
% 19.48/19.65 inference(symmetry,[status(thm)],[1491])).
% 19.48/19.65 tff(1607,plain,
% 19.48/19.65 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1488])).
% 19.48/19.65 tff(1608,plain,
% 19.48/19.65 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(inverse(sk_c8), sk_c3)),
% 19.48/19.65 inference(monotonicity,[status(thm)],[324, 1371])).
% 19.48/19.65 tff(1609,plain,
% 19.48/19.65 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c8, multiply(sk_c6, sk_c3))),
% 19.48/19.65 inference(transitivity,[status(thm)],[1154, 1153, 1608, 1150, 1146])).
% 19.48/19.65 tff(1610,plain,
% 19.48/19.65 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1609])).
% 19.48/19.65 tff(1611,plain,
% 19.48/19.65 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(transitivity,[status(thm)],[981, 1507])).
% 19.48/19.65 tff(1612,plain,
% 19.48/19.65 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[630, 1611])).
% 19.48/19.65 tff(1613,plain,
% 19.48/19.65 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1169])).
% 19.48/19.65 tff(1614,plain,
% 19.48/19.65 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(transitivity,[status(thm)],[1613, 1168, 1166])).
% 19.48/19.65 tff(1615,plain,
% 19.48/19.65 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1614])).
% 19.48/19.65 tff(1616,plain,
% 19.48/19.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2))))),
% 19.48/19.65 inference(quant_inst,[status(thm)],[])).
% 19.48/19.65 tff(1617,plain,
% 19.48/19.65 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(unit_resolution,[status(thm)],[1616, 52])).
% 19.48/19.65 tff(1618,plain,
% 19.48/19.65 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.65 inference(transitivity,[status(thm)],[625, 1439])).
% 19.48/19.65 tff(1619,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1618])).
% 19.48/19.65 tff(1620,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(sk_c7, inverse(sk_c1))),
% 19.48/19.65 inference(transitivity,[status(thm)],[1449, 472, 1004, 479, 1366])).
% 19.48/19.65 tff(1621,plain,
% 19.48/19.65 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1)),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1620])).
% 19.48/19.65 tff(1622,plain,
% 19.48/19.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)))),
% 19.48/19.65 inference(quant_inst,[status(thm)],[])).
% 19.48/19.65 tff(1623,plain,
% 19.48/19.65 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1))),
% 19.48/19.65 inference(unit_resolution,[status(thm)],[1622, 52])).
% 19.48/19.65 tff(1624,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1)),
% 19.48/19.65 inference(symmetry,[status(thm)],[1623])).
% 19.48/19.65 tff(1625,plain,
% 19.48/19.65 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)),
% 19.48/19.65 inference(symmetry,[status(thm)],[1411])).
% 19.48/19.65 tff(1626,plain,
% 19.48/19.65 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)),
% 19.48/19.65 inference(transitivity,[status(thm)],[1262, 166, 99, 1625])).
% 19.48/19.65 tff(1627,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1626])).
% 19.48/19.65 tff(1628,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.48/19.65 inference(transitivity,[status(thm)],[1627, 1624, 1621, 1009, 1429, 626])).
% 19.48/19.65 tff(1629,plain,
% 19.48/19.65 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c6, sk_c2))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1628])).
% 19.48/19.65 tff(1630,plain,
% 19.48/19.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2))))),
% 19.48/19.65 inference(quant_inst,[status(thm)],[])).
% 19.48/19.65 tff(1631,plain,
% 19.48/19.65 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(unit_resolution,[status(thm)],[1630, 52])).
% 19.48/19.65 tff(1632,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1631])).
% 19.48/19.65 tff(1633,plain,
% 19.48/19.65 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1613])).
% 19.48/19.65 tff(1634,plain,
% 19.48/19.65 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1168])).
% 19.48/19.65 tff(1635,plain,
% 19.48/19.65 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2))),
% 19.48/19.65 inference(transitivity,[status(thm)],[1165, 1634, 1633])).
% 19.48/19.65 tff(1636,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1635])).
% 19.48/19.65 tff(1637,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = sk_c3),
% 19.48/19.65 inference(transitivity,[status(thm)],[1636, 1632, 1629, 1619, 1617, 1615, 1164, 1612, 1159, 1610, 1607, 1135, 1606, 701, 1402, 626, 623, 1281, 61])).
% 19.48/19.65 tff(1638,plain,
% 19.48/19.65 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, sk_c7)) = multiply(sk_c3, sk_c8)),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1637, 880])).
% 19.48/19.65 tff(1639,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1636])).
% 19.48/19.65 tff(1640,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1629])).
% 19.48/19.65 tff(1641,plain,
% 19.48/19.65 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c6, sk_c2))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1619])).
% 19.48/19.65 tff(1642,plain,
% 19.48/19.65 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1617])).
% 19.48/19.65 tff(1643,plain,
% 19.48/19.65 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1615])).
% 19.48/19.65 tff(1644,plain,
% 19.48/19.65 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1612])).
% 19.48/19.65 tff(1645,plain,
% 19.48/19.65 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1610])).
% 19.48/19.65 tff(1646,plain,
% 19.48/19.65 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.65 inference(transitivity,[status(thm)],[1645, 1158, 1644, 1163, 1643, 1642, 1641, 1640, 1631, 1639])).
% 19.48/19.65 tff(1647,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, sk_c7))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1646])).
% 19.48/19.65 tff(1648,plain,
% 19.48/19.65 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1479])).
% 19.48/19.65 tff(1649,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), sk_c2)),
% 19.48/19.65 inference(symmetry,[status(thm)],[1475])).
% 19.48/19.65 tff(1650,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2) = multiply(multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.48/19.65 inference(symmetry,[status(thm)],[1471])).
% 19.48/19.65 tff(1651,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.65 inference(transitivity,[status(thm)],[1650, 1473, 1649, 1477, 1648])).
% 19.48/19.65 tff(1652,plain,
% 19.48/19.65 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1651])).
% 19.48/19.65 tff(1653,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2)),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1581])).
% 19.48/19.65 tff(1654,plain,
% 19.48/19.65 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2), multiply(sk_c2, sk_c7))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1653])).
% 19.48/19.65 tff(1655,plain,
% 19.48/19.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(sk_c2, sk_c7))))),
% 19.48/19.65 inference(quant_inst,[status(thm)],[])).
% 19.48/19.65 tff(1656,plain,
% 19.48/19.65 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.48/19.65 inference(unit_resolution,[status(thm)],[1655, 52])).
% 19.48/19.65 tff(1657,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), sk_c2), multiply(sk_c2, sk_c7))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1656])).
% 19.48/19.65 tff(1658,plain,
% 19.48/19.65 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c2, sk_c7))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1558])).
% 19.48/19.65 tff(1659,plain,
% 19.48/19.65 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)) = multiply(sk_c2, multiply(sk_c2, sk_c7))),
% 19.48/19.65 inference(transitivity,[status(thm)],[1556, 1658])).
% 19.48/19.65 tff(1660,plain,
% 19.48/19.65 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))),
% 19.48/19.65 inference(symmetry,[status(thm)],[1581])).
% 19.48/19.65 tff(1661,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1660, 1659])).
% 19.48/19.65 tff(1662,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.65 inference(monotonicity,[status(thm)],[1581])).
% 19.48/19.65 tff(1663,plain,
% 19.48/19.65 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.48/19.66 inference(transitivity,[status(thm)],[1662, 1661, 1657, 1654, 1652, 1647, 1638, 1605, 1326, 1604])).
% 19.48/19.66 tff(1664,plain,
% 19.48/19.66 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1663])).
% 19.48/19.66 tff(1665,plain,
% 19.48/19.66 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1664])).
% 19.48/19.66 tff(1666,plain,
% 19.48/19.66 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), sk_c2))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1385])).
% 19.48/19.66 tff(1667,plain,
% 19.48/19.66 (multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), sk_c2)) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1666])).
% 19.48/19.66 tff(1668,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), sk_c2) = multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), sk_c2)))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1669,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), sk_c2) = multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), sk_c2))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1668, 52])).
% 19.48/19.66 tff(1670,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1383])).
% 19.48/19.66 tff(1671,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), sk_c2)),
% 19.48/19.66 inference(symmetry,[status(thm)],[1670])).
% 19.48/19.66 tff(1672,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1673,plain,
% 19.48/19.66 (multiply(multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1672, 52])).
% 19.48/19.66 tff(1674,plain,
% 19.48/19.66 (multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1312])).
% 19.48/19.66 tff(1675,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1676,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1675, 52])).
% 19.48/19.66 tff(1677,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.48/19.66 inference(transitivity,[status(thm)],[1676, 1674, 278])).
% 19.48/19.66 tff(1678,plain,
% 19.48/19.66 (multiply(multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1677])).
% 19.48/19.66 tff(1679,plain,
% 19.48/19.66 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1678])).
% 19.48/19.66 tff(1680,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1681,plain,
% 19.48/19.66 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1680, 52])).
% 19.48/19.66 tff(1682,plain,
% 19.48/19.66 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1681])).
% 19.48/19.66 tff(1683,plain,
% 19.48/19.66 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))) = sk_c2),
% 19.48/19.66 inference(transitivity,[status(thm)],[946, 1121, 1303, 1120, 1381, 1266, 44])).
% 19.48/19.66 tff(1684,plain,
% 19.48/19.66 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(sk_c2, sk_c2)),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1683])).
% 19.48/19.66 tff(1685,plain,
% 19.48/19.66 (multiply(sk_c2, sk_c2) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1684])).
% 19.48/19.66 tff(1686,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1687,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1686, 52])).
% 19.48/19.66 tff(1688,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1689,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1688, 52])).
% 19.48/19.66 tff(1690,plain,
% 19.48/19.66 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7)),
% 19.48/19.66 inference(symmetry,[status(thm)],[1689])).
% 19.48/19.66 tff(1691,plain,
% 19.48/19.66 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3)),
% 19.48/19.66 inference(monotonicity,[status(thm)],[126, 1580])).
% 19.48/19.66 tff(1692,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1691])).
% 19.48/19.66 tff(1693,plain,
% 19.48/19.66 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7)),
% 19.48/19.66 inference(transitivity,[status(thm)],[253, 1692, 1690])).
% 19.48/19.66 tff(1694,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1693])).
% 19.48/19.66 tff(1695,plain,
% 19.48/19.66 (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1694])).
% 19.48/19.66 tff(1696,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1697,plain,
% 19.48/19.66 (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1696, 52])).
% 19.48/19.66 tff(1698,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1697])).
% 19.48/19.66 tff(1699,plain,
% 19.48/19.66 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.48/19.66 inference(transitivity,[status(thm)],[1370, 626])).
% 19.48/19.66 tff(1700,plain,
% 19.48/19.66 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3)),
% 19.48/19.66 inference(monotonicity,[status(thm)],[126, 1371])).
% 19.48/19.66 tff(1701,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1702,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1701, 52])).
% 19.48/19.66 tff(1703,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7) = multiply(sk_c1, multiply(multiply(sk_c2, sk_c2), sk_c7)))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1704,plain,
% 19.48/19.66 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7) = multiply(sk_c1, multiply(multiply(sk_c2, sk_c2), sk_c7))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1703, 52])).
% 19.48/19.66 tff(1705,plain,
% 19.48/19.66 (multiply(sk_c1, multiply(multiply(sk_c2, sk_c2), sk_c7)) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7)),
% 19.48/19.66 inference(symmetry,[status(thm)],[1704])).
% 19.48/19.66 tff(1706,plain,
% 19.48/19.66 (multiply(multiply(sk_c2, sk_c2), sk_c7) = multiply(sk_c2, sk_c8)),
% 19.48/19.66 inference(transitivity,[status(thm)],[186, 1558])).
% 19.48/19.66 tff(1707,plain,
% 19.48/19.66 (multiply(sk_c1, multiply(multiply(sk_c2, sk_c2), sk_c7)) = multiply(sk_c1, multiply(sk_c2, sk_c8))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1706])).
% 19.48/19.66 tff(1708,plain,
% 19.48/19.66 (multiply(sk_c1, multiply(sk_c2, sk_c8)) = multiply(sk_c1, multiply(multiply(sk_c2, sk_c2), sk_c7))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1707])).
% 19.48/19.66 tff(1709,plain,
% 19.48/19.66 (multiply(sk_c1, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7)),
% 19.48/19.66 inference(transitivity,[status(thm)],[1708, 1705])).
% 19.48/19.66 tff(1710,plain,
% 19.48/19.66 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c8)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1709])).
% 19.48/19.66 tff(1711,plain,
% 19.48/19.66 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c8)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3))),
% 19.48/19.66 inference(transitivity,[status(thm)],[1710, 1702, 1700, 252])).
% 19.48/19.66 tff(1712,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c8)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1711])).
% 19.48/19.66 tff(1713,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c8)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c8)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1714,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c8)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c8)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1713, 52])).
% 19.48/19.66 tff(1715,plain,
% 19.48/19.66 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c8)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c8)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1714])).
% 19.48/19.66 tff(1716,plain,
% 19.48/19.66 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7) = multiply(sk_c1, multiply(sk_c2, sk_c8))),
% 19.48/19.66 inference(transitivity,[status(thm)],[1704, 1707])).
% 19.48/19.66 tff(1717,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c8)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1716, 1611])).
% 19.48/19.66 tff(1718,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1719,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1718, 52])).
% 19.48/19.66 tff(1720,plain,
% 19.48/19.66 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1719])).
% 19.48/19.66 tff(1721,plain,
% 19.48/19.66 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(transitivity,[status(thm)],[1720, 1717, 1715, 1712])).
% 19.48/19.66 tff(1722,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1721, 1699])).
% 19.48/19.66 tff(1723,plain,
% 19.48/19.66 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1722])).
% 19.48/19.66 tff(1724,plain,
% 19.48/19.66 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.66 inference(transitivity,[status(thm)],[625, 1401, 717, 1491, 1489, 1488, 1645, 1158, 1644, 1163, 1643, 1642, 1641, 1640, 1631, 1639])).
% 19.48/19.66 tff(1725,plain,
% 19.48/19.66 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1724])).
% 19.48/19.66 tff(1726,plain,
% 19.48/19.66 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1725])).
% 19.48/19.66 tff(1727,plain,
% 19.48/19.66 (identity = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 19.48/19.66 inference(transitivity,[status(thm)],[167, 1263, 1169])).
% 19.48/19.66 tff(1728,plain,
% 19.48/19.66 (multiply(identity, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1727])).
% 19.48/19.66 tff(1729,plain,
% 19.48/19.66 (multiply(sk_c6, sk_c2) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(transitivity,[status(thm)],[1174, 1728, 1168, 1166])).
% 19.48/19.66 tff(1730,plain,
% 19.48/19.66 (multiply(sk_c7, multiply(sk_c6, sk_c2)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1729])).
% 19.48/19.66 tff(1731,plain,
% 19.48/19.66 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(sk_c7, multiply(sk_c6, sk_c2))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1730])).
% 19.48/19.66 tff(1732,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(sk_c7, multiply(sk_c6, sk_c2))),
% 19.48/19.66 inference(transitivity,[status(thm)],[1636, 1632, 1629, 1619, 1617, 1615, 1731])).
% 19.48/19.66 tff(1733,plain,
% 19.48/19.66 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1732])).
% 19.48/19.66 tff(1734,plain,
% 19.48/19.66 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1733])).
% 19.48/19.66 tff(1735,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2)))))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1736,plain,
% 19.48/19.66 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2))))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1735, 52])).
% 19.48/19.66 tff(1737,plain,
% 19.48/19.66 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1736])).
% 19.48/19.66 tff(1738,plain,
% 19.48/19.66 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))),
% 19.48/19.66 inference(symmetry,[status(thm)],[1110])).
% 19.48/19.66 tff(1739,plain,
% 19.48/19.66 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.48/19.66 inference(transitivity,[status(thm)],[1738, 1111])).
% 19.48/19.66 tff(1740,plain,
% 19.48/19.66 (multiply(sk_c7, multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2)))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[1739])).
% 19.48/19.66 tff(1741,plain,
% 19.48/19.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2)))))),
% 19.48/19.66 inference(quant_inst,[status(thm)],[])).
% 19.48/19.66 tff(1742,plain,
% 19.48/19.66 (multiply(multiply(sk_c7, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2))))),
% 19.48/19.66 inference(unit_resolution,[status(thm)],[1741, 52])).
% 19.48/19.66 tff(1743,plain,
% 19.48/19.66 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.48/19.66 inference(monotonicity,[status(thm)],[945])).
% 19.48/19.67 tff(1744,plain,
% 19.48/19.67 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.67 inference(transitivity,[status(thm)],[1743, 1742, 1740])).
% 19.48/19.67 tff(1745,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1744])).
% 19.48/19.67 tff(1746,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2))))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1745])).
% 19.48/19.67 tff(1747,plain,
% 19.48/19.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.67 inference(quant_inst,[status(thm)],[])).
% 19.48/19.67 tff(1748,plain,
% 19.48/19.67 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.67 inference(unit_resolution,[status(thm)],[1747, 52])).
% 19.48/19.67 tff(1749,plain,
% 19.48/19.67 (((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 19.48/19.67 inference(rewrite,[status(thm)],[])).
% 19.48/19.67 tff(1750,axiom,((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 19.48/19.67 tff(1751,plain,
% 19.48/19.67 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 19.48/19.67 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 19.48/19.67 tff(1752,plain,
% 19.48/19.67 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 19.48/19.67 inference(modus_ponens,[status(thm)],[1751, 1749])).
% 19.48/19.67 tff(1753,plain,
% 19.48/19.67 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 19.48/19.67 inference(modus_ponens,[status(thm)],[1752, 1749])).
% 19.48/19.67 tff(1754,plain,
% 19.48/19.67 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 19.48/19.67 inference(modus_ponens,[status(thm)],[1753, 1749])).
% 19.48/19.67 tff(1755,plain,
% 19.48/19.67 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 19.48/19.67 inference(modus_ponens,[status(thm)],[1754, 1749])).
% 19.48/19.67 tff(1756,plain,
% 19.48/19.67 (multiply(sk_c1, sk_c2) = sk_c8),
% 19.48/19.67 inference(unit_resolution,[status(thm)],[1755, 1393])).
% 19.48/19.67 tff(1757,plain,
% 19.48/19.67 (multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7)),
% 19.48/19.67 inference(symmetry,[status(thm)],[1232])).
% 19.48/19.67 tff(1758,plain,
% 19.48/19.67 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7)),
% 19.48/19.67 inference(transitivity,[status(thm)],[458, 1757])).
% 19.48/19.67 tff(1759,plain,
% 19.48/19.67 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), sk_c2)),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1758])).
% 19.48/19.67 tff(1760,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), sk_c2) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.48/19.67 inference(symmetry,[status(thm)],[1759])).
% 19.48/19.67 tff(1761,plain,
% 19.48/19.67 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1106])).
% 19.48/19.67 tff(1762,plain,
% 19.48/19.67 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, sk_c2))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1761])).
% 19.48/19.67 tff(1763,plain,
% 19.48/19.67 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(sk_c2, sk_c3)),
% 19.48/19.67 inference(transitivity,[status(thm)],[981, 1507, 1506, 963, 1505, 940, 1504, 1495, 1043, 1494, 1493, 1018, 1492])).
% 19.48/19.67 tff(1764,plain,
% 19.48/19.67 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1763, 1763])).
% 19.48/19.67 tff(1765,plain,
% 19.48/19.67 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1764])).
% 19.48/19.67 tff(1766,plain,
% 19.48/19.67 (multiply(sk_c2, sk_c3) = sk_c8),
% 19.48/19.67 inference(transitivity,[status(thm)],[1432, 1061, 1425, 1421, 1042, 1413, 935, 932, 1409, 926, 1408, 1339, 882, 880])).
% 19.48/19.67 tff(1767,plain,
% 19.48/19.67 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3)) = multiply(sk_c8, sk_c8)),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1766, 1766])).
% 19.48/19.67 tff(1768,plain,
% 19.48/19.67 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1767])).
% 19.48/19.67 tff(1769,plain,
% 19.48/19.67 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[883, 883])).
% 19.48/19.67 tff(1770,plain,
% 19.48/19.67 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)) = multiply(sk_c8, sk_c8)),
% 19.48/19.67 inference(symmetry,[status(thm)],[1769])).
% 19.48/19.67 tff(1771,plain,
% 19.48/19.67 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c7))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[933])).
% 19.48/19.67 tff(1772,plain,
% 19.48/19.67 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1771])).
% 19.48/19.67 tff(1773,plain,
% 19.48/19.67 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(sk_c2, sk_c3), sk_c3)),
% 19.48/19.67 inference(transitivity,[status(thm)],[1262, 166, 436, 1341, 1316, 915, 1390])).
% 19.48/19.67 tff(1774,plain,
% 19.48/19.67 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1773])).
% 19.48/19.67 tff(1775,plain,
% 19.48/19.67 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1774])).
% 19.48/19.67 tff(1776,plain,
% 19.48/19.67 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)) = sk_c2),
% 19.48/19.67 inference(transitivity,[status(thm)],[1775, 1772, 1242, 1770, 1768, 1765, 1762, 1237, 1760, 1266, 44])).
% 19.48/19.67 tff(1777,plain,
% 19.48/19.67 (multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(sk_c1, sk_c2)),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1776])).
% 19.48/19.67 tff(1778,plain,
% 19.48/19.67 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)) = multiply(sk_c3, sk_c3)),
% 19.48/19.67 inference(transitivity,[status(thm)],[1486, 1139, 1480, 1446, 1214, 1445])).
% 19.48/19.67 tff(1779,plain,
% 19.48/19.67 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), multiply(sk_c3, sk_c3))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[126, 1778])).
% 19.48/19.67 tff(1780,plain,
% 19.48/19.67 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2)))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1485])).
% 19.48/19.67 tff(1781,plain,
% 19.48/19.67 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1780])).
% 19.48/19.67 tff(1782,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1781, 1496])).
% 19.48/19.67 tff(1783,plain,
% 19.48/19.67 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3)),
% 19.48/19.67 inference(monotonicity,[status(thm)],[126, 1403])).
% 19.48/19.67 tff(1784,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1783])).
% 19.48/19.67 tff(1785,plain,
% 19.48/19.67 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), sk_c2)),
% 19.48/19.67 inference(transitivity,[status(thm)],[253, 1784, 1194])).
% 19.48/19.67 tff(1786,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7) = multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7)),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1785])).
% 19.48/19.67 tff(1787,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.48/19.67 inference(transitivity,[status(thm)],[1786, 1202, 1782, 1209, 1779, 1222, 1227, 1230, 1777, 1756, 883, 1048, 1338, 1392, 925, 1388, 931, 934, 1386, 1060, 1384, 1052, 1377, 1368, 980])).
% 19.48/19.67 tff(1788,plain,
% 19.48/19.67 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1787])).
% 19.48/19.67 tff(1789,plain,
% 19.48/19.67 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1788])).
% 19.48/19.67 tff(1790,plain,
% 19.48/19.67 (sk_c2 = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.67 inference(transitivity,[status(thm)],[102, 1265, 1759, 1236, 1761, 1789, 1748, 1746, 1737, 1734, 1726, 1723, 1698, 1695, 1687])).
% 19.48/19.67 tff(1791,plain,
% 19.48/19.67 (sk_c2 = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))),
% 19.48/19.67 inference(transitivity,[status(thm)],[102, 1265, 1759, 1236, 1761, 1764, 1767, 1769, 1241, 1771, 1774])).
% 19.48/19.67 tff(1792,plain,
% 19.48/19.67 (multiply(sk_c2, sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)), multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1791, 1790])).
% 19.48/19.67 tff(1793,plain,
% 19.48/19.67 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)), multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))) = multiply(sk_c2, sk_c2)),
% 19.48/19.67 inference(symmetry,[status(thm)],[1792])).
% 19.48/19.67 tff(1794,plain,
% 19.48/19.67 (multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c1, multiply(sk_c2, sk_c8))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1556])).
% 19.48/19.67 tff(1795,plain,
% 19.48/19.67 (multiply(sk_c1, multiply(sk_c2, sk_c8)) = multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1794])).
% 19.48/19.67 tff(1796,plain,
% 19.48/19.67 (multiply(sk_c1, multiply(sk_c2, sk_c8)) = multiply(sk_c1, multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1658])).
% 19.48/19.67 tff(1797,plain,
% 19.48/19.67 (multiply(sk_c1, multiply(sk_c2, multiply(sk_c2, sk_c7))) = multiply(sk_c1, multiply(sk_c2, sk_c8))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1796])).
% 19.48/19.67 tff(1798,plain,
% 19.48/19.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c7)) = multiply(sk_c1, multiply(sk_c2, multiply(sk_c2, sk_c7))))),
% 19.48/19.67 inference(quant_inst,[status(thm)],[])).
% 19.48/19.67 tff(1799,plain,
% 19.48/19.67 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c7)) = multiply(sk_c1, multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.48/19.67 inference(unit_resolution,[status(thm)],[1798, 52])).
% 19.48/19.67 tff(1800,plain,
% 19.48/19.67 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1496])).
% 19.48/19.67 tff(1801,plain,
% 19.48/19.67 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c7))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1800])).
% 19.48/19.67 tff(1802,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1283])).
% 19.48/19.67 tff(1803,plain,
% 19.48/19.67 (sk_c3 = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.48/19.67 inference(transitivity,[status(thm)],[718, 1273, 1802])).
% 19.48/19.67 tff(1804,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[125, 1803])).
% 19.48/19.67 tff(1805,plain,
% 19.48/19.67 (multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c2), sk_c3)),
% 19.48/19.67 inference(symmetry,[status(thm)],[1804])).
% 19.48/19.67 tff(1806,plain,
% 19.48/19.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))))),
% 19.48/19.67 inference(quant_inst,[status(thm)],[])).
% 19.48/19.67 tff(1807,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.48/19.67 inference(unit_resolution,[status(thm)],[1806, 52])).
% 19.48/19.67 tff(1808,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1627])).
% 19.48/19.67 tff(1809,plain,
% 19.48/19.67 (multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1)),
% 19.48/19.67 inference(symmetry,[status(thm)],[1621])).
% 19.48/19.67 tff(1810,plain,
% 19.48/19.67 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.67 inference(transitivity,[status(thm)],[625, 1430, 1010, 1809, 1623, 1808])).
% 19.48/19.67 tff(1811,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1810])).
% 19.48/19.67 tff(1812,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1811])).
% 19.48/19.67 tff(1813,plain,
% 19.48/19.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.48/19.67 inference(quant_inst,[status(thm)],[])).
% 19.48/19.67 tff(1814,plain,
% 19.48/19.67 (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.67 inference(unit_resolution,[status(thm)],[1813, 52])).
% 19.48/19.67 tff(1815,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3))),
% 19.48/19.67 inference(transitivity,[status(thm)],[1807, 1805, 252])).
% 19.48/19.67 tff(1816,plain,
% 19.48/19.67 (multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1815])).
% 19.48/19.67 tff(1817,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(multiply(sk_c1, multiply(sk_c2, sk_c2)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1816])).
% 19.48/19.67 tff(1818,plain,
% 19.48/19.67 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1687])).
% 19.48/19.67 tff(1819,plain,
% 19.48/19.67 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.67 inference(transitivity,[status(thm)],[1818, 1817, 1814, 1812, 1807, 1805, 252, 1801, 1799, 1797, 1795])).
% 19.48/19.67 tff(1820,plain,
% 19.48/19.67 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)) = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.48/19.67 inference(transitivity,[status(thm)],[1775, 1772, 1242, 1770, 1768, 1765, 1762, 1237, 1760, 1266, 44, 1461, 1000, 1363, 484, 482])).
% 19.48/19.67 tff(1821,plain,
% 19.48/19.67 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)), multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1820, 1819])).
% 19.48/19.67 tff(1822,plain,
% 19.48/19.67 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)), multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1821])).
% 19.48/19.67 tff(1823,plain,
% 19.48/19.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.48/19.67 inference(quant_inst,[status(thm)],[])).
% 19.48/19.67 tff(1824,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.48/19.67 inference(unit_resolution,[status(thm)],[1823, 52])).
% 19.48/19.67 tff(1825,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1412])).
% 19.48/19.67 tff(1826,plain,
% 19.48/19.67 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1825])).
% 19.48/19.67 tff(1827,plain,
% 19.48/19.67 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1279])).
% 19.48/19.67 tff(1828,plain,
% 19.48/19.67 (multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1827])).
% 19.48/19.67 tff(1829,plain,
% 19.48/19.67 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.67 inference(quant_inst,[status(thm)],[])).
% 19.48/19.67 tff(1830,plain,
% 19.48/19.67 (multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))),
% 19.48/19.67 inference(unit_resolution,[status(thm)],[1829, 42])).
% 19.48/19.67 tff(1831,plain,
% 19.48/19.67 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)) = multiply(identity, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.67 inference(symmetry,[status(thm)],[1830])).
% 19.48/19.67 tff(1832,plain,
% 19.48/19.67 (sk_c8 = multiply(sk_c2, sk_c3)),
% 19.48/19.67 inference(transitivity,[status(thm)],[883, 1048, 1338, 1392, 925, 1388, 931, 934, 1495, 1043, 1494, 1493, 1018, 1492])).
% 19.48/19.67 tff(1833,plain,
% 19.48/19.67 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1832])).
% 19.48/19.67 tff(1834,plain,
% 19.48/19.67 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(sk_c2, sk_c8)),
% 19.48/19.67 inference(symmetry,[status(thm)],[1833])).
% 19.48/19.67 tff(1835,plain,
% 19.48/19.67 (multiply(multiply(sk_c2, sk_c2), sk_c3) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.48/19.67 inference(monotonicity,[status(thm)],[1803])).
% 19.48/19.67 tff(1836,plain,
% 19.48/19.67 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.48/19.67 inference(symmetry,[status(thm)],[1835])).
% 19.48/19.67 tff(1837,plain,
% 19.48/19.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))))),
% 19.48/19.67 inference(quant_inst,[status(thm)],[])).
% 19.48/19.67 tff(1838,plain,
% 19.48/19.67 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1837, 52])).
% 19.48/19.68 tff(1839,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1810])).
% 19.48/19.68 tff(1840,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1839])).
% 19.48/19.68 tff(1841,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1842,plain,
% 19.48/19.68 (multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1841, 52])).
% 19.48/19.68 tff(1843,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.48/19.68 inference(transitivity,[status(thm)],[1838, 1836, 278])).
% 19.48/19.68 tff(1844,plain,
% 19.48/19.68 (multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1843])).
% 19.48/19.68 tff(1845,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1844])).
% 19.48/19.68 tff(1846,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1847,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1846, 52])).
% 19.48/19.68 tff(1848,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7)),
% 19.48/19.68 inference(symmetry,[status(thm)],[1847])).
% 19.48/19.68 tff(1849,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1580])).
% 19.48/19.68 tff(1850,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), sk_c3) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1849])).
% 19.48/19.68 tff(1851,plain,
% 19.48/19.68 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7)),
% 19.48/19.68 inference(transitivity,[status(thm)],[279, 1850, 1848])).
% 19.48/19.68 tff(1852,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1851])).
% 19.48/19.68 tff(1853,plain,
% 19.48/19.68 (multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1852])).
% 19.48/19.68 tff(1854,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1855,plain,
% 19.48/19.68 (multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1854, 52])).
% 19.48/19.68 tff(1856,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1855])).
% 19.48/19.68 tff(1857,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1371])).
% 19.48/19.68 tff(1858,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1859,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1858, 52])).
% 19.48/19.68 tff(1860,plain,
% 19.48/19.68 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)) = multiply(multiply(sk_c2, sk_c2), sk_c7)),
% 19.48/19.68 inference(transitivity,[status(thm)],[1556, 1658, 187])).
% 19.48/19.68 tff(1861,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1860])).
% 19.48/19.68 tff(1862,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.48/19.68 inference(transitivity,[status(thm)],[1861, 1859, 1857, 278])).
% 19.48/19.68 tff(1863,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1862])).
% 19.48/19.68 tff(1864,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1865,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1864, 52])).
% 19.48/19.68 tff(1866,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1865])).
% 19.48/19.68 tff(1867,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), sk_c7) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))),
% 19.48/19.68 inference(transitivity,[status(thm)],[186, 1558, 1557])).
% 19.48/19.68 tff(1868,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1867, 1611])).
% 19.48/19.68 tff(1869,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1870,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1869, 52])).
% 19.48/19.68 tff(1871,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1870])).
% 19.48/19.68 tff(1872,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.68 inference(transitivity,[status(thm)],[1871, 1868, 1866, 1863])).
% 19.48/19.68 tff(1873,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1872, 1699])).
% 19.48/19.68 tff(1874,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1873])).
% 19.48/19.68 tff(1875,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1724])).
% 19.48/19.68 tff(1876,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1875])).
% 19.48/19.68 tff(1877,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1732])).
% 19.48/19.68 tff(1878,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1877])).
% 19.48/19.68 tff(1879,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2)))))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1880,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2))))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1879, 52])).
% 19.48/19.68 tff(1881,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1880])).
% 19.48/19.68 tff(1882,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1744])).
% 19.48/19.68 tff(1883,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2))))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1882])).
% 19.48/19.68 tff(1884,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1885,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1884, 52])).
% 19.48/19.68 tff(1886,plain,
% 19.48/19.68 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(sk_c3, sk_c2)),
% 19.48/19.68 inference(transitivity,[status(thm)],[944, 941, 1508, 1573, 1510])).
% 19.48/19.68 tff(1887,plain,
% 19.48/19.68 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c3, sk_c3))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1226])).
% 19.48/19.68 tff(1888,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c2), multiply(sk_c3, sk_c3)) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c3, sk_c3))))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1889,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c3, sk_c3)) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c3, sk_c3)))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1888, 52])).
% 19.48/19.68 tff(1890,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c3, sk_c3))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1778])).
% 19.48/19.68 tff(1891,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1892,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1891, 52])).
% 19.48/19.68 tff(1893,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2)))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1485])).
% 19.48/19.68 tff(1894,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1893])).
% 19.48/19.68 tff(1895,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1894, 1496])).
% 19.48/19.68 tff(1896,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1897,plain,
% 19.48/19.68 (multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1896, 52])).
% 19.48/19.68 tff(1898,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), sk_c2) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1899,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), sk_c2) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1898, 52])).
% 19.48/19.68 tff(1900,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), sk_c2)),
% 19.48/19.68 inference(symmetry,[status(thm)],[1899])).
% 19.48/19.68 tff(1901,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1403])).
% 19.48/19.68 tff(1902,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, sk_c2), sk_c3) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1901])).
% 19.48/19.68 tff(1903,plain,
% 19.48/19.68 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), sk_c2)),
% 19.48/19.68 inference(transitivity,[status(thm)],[279, 1902, 1900])).
% 19.48/19.68 tff(1904,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7)),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1903])).
% 19.48/19.68 tff(1905,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7) = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.48/19.68 inference(transitivity,[status(thm)],[1904, 1897, 1895, 1892, 1890, 1889, 1887, 1775, 1772, 1242, 1770, 1768, 1765, 1762, 1237, 1760, 1266, 44, 1461, 1000, 1363, 484, 482])).
% 19.48/19.68 tff(1906,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c3, sk_c2))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1905, 1886])).
% 19.48/19.68 tff(1907,plain,
% 19.48/19.68 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c3, sk_c2)) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1906])).
% 19.48/19.68 tff(1908,plain,
% 19.48/19.68 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1581])).
% 19.48/19.68 tff(1909,plain,
% 19.48/19.68 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1908])).
% 19.48/19.68 tff(1910,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1911,plain,
% 19.48/19.68 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1910, 52])).
% 19.48/19.68 tff(1912,plain,
% 19.48/19.68 (multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1911])).
% 19.48/19.68 tff(1913,plain,
% 19.48/19.68 (multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))) = multiply(sk_c1, sk_c3)),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1594])).
% 19.48/19.68 tff(1914,plain,
% 19.48/19.68 (multiply(sk_c1, sk_c3) = multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1913])).
% 19.48/19.68 tff(1915,plain,
% 19.48/19.68 (multiply(sk_c1, sk_c3) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))),
% 19.48/19.68 inference(transitivity,[status(thm)],[1914, 1912, 1909])).
% 19.48/19.68 tff(1916,plain,
% 19.48/19.68 (multiply(multiply(sk_c1, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.68 inference(monotonicity,[status(thm)],[1915])).
% 19.48/19.68 tff(1917,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c1, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1916])).
% 19.48/19.68 tff(1918,plain,
% 19.48/19.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.48/19.68 inference(quant_inst,[status(thm)],[])).
% 19.48/19.68 tff(1919,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.48/19.68 inference(unit_resolution,[status(thm)],[1918, 52])).
% 19.48/19.68 tff(1920,plain,
% 19.48/19.68 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.68 inference(symmetry,[status(thm)],[1919])).
% 19.48/19.68 tff(1921,plain,
% 19.48/19.68 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, sk_c3), sk_c3)),
% 19.48/19.69 inference(transitivity,[status(thm)],[1662, 1661, 1657, 1654, 1652, 1647, 1638, 1605, 1326, 1604, 1262, 166, 436, 1341, 1316, 915, 1390])).
% 19.48/19.69 tff(1922,plain,
% 19.48/19.69 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), sk_c3))),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1921])).
% 19.48/19.69 tff(1923,plain,
% 19.48/19.69 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c2, sk_c3), sk_c3)) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.48/19.69 inference(symmetry,[status(thm)],[1922])).
% 19.48/19.69 tff(1924,plain,
% 19.48/19.69 (multiply(sk_c1, sk_c2) = multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))),
% 19.48/19.69 inference(symmetry,[status(thm)],[1777])).
% 19.48/19.69 tff(1925,plain,
% 19.48/19.69 (sk_c8 = multiply(sk_c1, sk_c2)),
% 19.48/19.69 inference(symmetry,[status(thm)],[1756])).
% 19.48/19.69 tff(1926,plain,
% 19.48/19.69 (multiply(sk_c3, sk_c2) = multiply(multiply(sk_c1, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.69 inference(transitivity,[status(thm)],[1511, 986, 1509, 982, 943, 981, 1507, 1506, 963, 1505, 940, 1504, 935, 932, 1409, 926, 1408, 1339, 882, 880, 1925, 1924, 1231, 1923, 1920, 1917])).
% 19.48/19.69 tff(1927,plain,
% 19.48/19.69 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c1, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1926])).
% 19.48/19.69 tff(1928,plain,
% 19.48/19.69 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c1, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c3, sk_c2))),
% 19.48/19.69 inference(symmetry,[status(thm)],[1927])).
% 19.48/19.69 tff(1929,plain,
% 19.48/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c1, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.48/19.69 inference(quant_inst,[status(thm)],[])).
% 19.48/19.69 tff(1930,plain,
% 19.48/19.69 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c1, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.48/19.69 inference(unit_resolution,[status(thm)],[1929, 52])).
% 19.48/19.69 tff(1931,plain,
% 19.48/19.69 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.48/19.69 inference(transitivity,[status(thm)],[98, 167, 1263, 458])).
% 19.48/19.69 tff(1932,plain,
% 19.48/19.69 (multiply(multiply(inverse(sk_c1), sk_c1), sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1931])).
% 19.48/19.69 tff(1933,plain,
% 19.48/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c1), sk_c1), sk_c3) = multiply(inverse(sk_c1), multiply(sk_c1, sk_c3)))),
% 19.48/19.69 inference(quant_inst,[status(thm)],[])).
% 19.48/19.69 tff(1934,plain,
% 19.48/19.69 (multiply(multiply(inverse(sk_c1), sk_c1), sk_c3) = multiply(inverse(sk_c1), multiply(sk_c1, sk_c3))),
% 19.48/19.69 inference(unit_resolution,[status(thm)],[1933, 52])).
% 19.48/19.69 tff(1935,plain,
% 19.48/19.69 (multiply(inverse(sk_c1), multiply(sk_c1, sk_c3)) = multiply(multiply(inverse(sk_c1), sk_c1), sk_c3)),
% 19.48/19.69 inference(symmetry,[status(thm)],[1934])).
% 19.48/19.69 tff(1936,plain,
% 19.48/19.69 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3)) = multiply(inverse(sk_c1), multiply(sk_c1, sk_c3))),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1410])).
% 19.48/19.69 tff(1937,plain,
% 19.48/19.69 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3)) = sk_c3),
% 19.48/19.69 inference(transitivity,[status(thm)],[1936, 1935, 1932, 1281, 61])).
% 19.48/19.69 tff(1938,plain,
% 19.48/19.69 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c3, multiply(sk_c2, sk_c8))),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1937, 1556])).
% 19.48/19.69 tff(1939,plain,
% 19.48/19.69 (multiply(sk_c3, multiply(sk_c2, sk_c8)) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.48/19.69 inference(symmetry,[status(thm)],[1938])).
% 19.48/19.69 tff(1940,plain,
% 19.48/19.69 (multiply(sk_c3, multiply(sk_c2, sk_c8)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1286, 1658])).
% 19.48/19.69 tff(1941,plain,
% 19.48/19.69 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, sk_c7))) = multiply(sk_c3, multiply(sk_c2, sk_c8))),
% 19.48/19.69 inference(symmetry,[status(thm)],[1940])).
% 19.48/19.69 tff(1942,plain,
% 19.48/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, sk_c7))))),
% 19.48/19.69 inference(quant_inst,[status(thm)],[])).
% 19.48/19.69 tff(1943,plain,
% 19.48/19.69 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.48/19.69 inference(unit_resolution,[status(thm)],[1942, 52])).
% 19.48/19.69 tff(1944,plain,
% 19.48/19.69 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2) = multiply(sk_c3, sk_c2)),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1282])).
% 19.48/19.69 tff(1945,plain,
% 19.48/19.69 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c7))),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1944])).
% 19.48/19.69 tff(1946,plain,
% 19.48/19.69 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, sk_c7))),
% 19.48/19.69 inference(symmetry,[status(thm)],[1945])).
% 19.48/19.69 tff(1947,plain,
% 19.48/19.69 (multiply(sk_c2, sk_c7) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.48/19.69 inference(transitivity,[status(thm)],[1048, 1338, 1392, 925, 1388, 931, 934, 1386, 1060, 1384, 1052, 1377, 1368, 980])).
% 19.48/19.69 tff(1948,plain,
% 19.48/19.69 (multiply(sk_c3, sk_c2) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.48/19.69 inference(transitivity,[status(thm)],[1511, 986, 1509, 982, 943])).
% 19.48/19.69 tff(1949,plain,
% 19.48/19.69 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1948, 1947])).
% 19.48/19.69 tff(1950,plain,
% 19.48/19.69 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c7))),
% 19.48/19.69 inference(symmetry,[status(thm)],[1949])).
% 19.48/19.69 tff(1951,plain,
% 19.48/19.69 (inverse(sk_c1) = sk_c8),
% 19.48/19.69 inference(transitivity,[status(thm)],[1460, 102, 1265, 1759, 1236, 1761, 1950, 1946, 1943, 1941, 1939, 1930, 1928, 1907, 1885, 1883, 1881, 1878, 1876, 1874, 1856, 1853, 1845, 1842, 1840, 1838, 1836, 278, 1834, 1557, 1831, 1828, 1826, 1824, 1822, 1793, 1685, 1682, 1679, 1673, 1671, 1669, 1667, 1665, 1602, 1599, 1579, 1576, 1572, 1561, 1551, 1548, 1538, 1536, 1533, 1530, 1516, 1513, 1511, 986, 1509, 982, 943, 981, 1507, 1506, 963, 1505, 940, 1504, 935, 932, 1409, 926, 1408, 1339, 882, 880])).
% 19.48/19.69 tff(1952,plain,
% 19.48/19.69 (multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7),
% 19.48/19.69 inference(modus_ponens,[status(thm)],[1951, 1503])).
% 19.48/19.69 tff(1953,plain,
% 19.48/19.69 (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c3, sk_c7)),
% 19.48/19.69 inference(transitivity,[status(thm)],[1569, 1567, 1564])).
% 19.48/19.69 tff(1954,plain,
% 19.48/19.69 ((multiply(inverse(sk_c8), sk_c7) = sk_c8) <=> (multiply(sk_c3, sk_c7) = sk_c8)),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1953])).
% 19.48/19.69 tff(1955,plain,
% 19.48/19.69 ((multiply(sk_c3, sk_c7) = sk_c8) <=> (multiply(inverse(sk_c8), sk_c7) = sk_c8)),
% 19.48/19.69 inference(symmetry,[status(thm)],[1954])).
% 19.48/19.69 tff(1956,plain,
% 19.48/19.69 (multiply(inverse(sk_c8), sk_c7) = sk_c8),
% 19.48/19.69 inference(modus_ponens,[status(thm)],[1399, 1955])).
% 19.48/19.69 tff(1957,plain,
% 19.48/19.69 (multiply(sk_c8, inverse(sk_c8)) = multiply(sk_c8, sk_c7)),
% 19.48/19.69 inference(monotonicity,[status(thm)],[323])).
% 19.48/19.69 tff(1958,plain,
% 19.48/19.69 ((multiply(sk_c8, inverse(sk_c8)) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1957])).
% 19.48/19.69 tff(1959,plain,
% 19.48/19.69 ((multiply(sk_c8, sk_c7) = sk_c8) <=> (multiply(sk_c8, inverse(sk_c8)) = sk_c8)),
% 19.48/19.69 inference(symmetry,[status(thm)],[1958])).
% 19.48/19.69 tff(1960,plain,
% 19.48/19.69 (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c2, sk_c7), sk_c7)),
% 19.48/19.69 inference(monotonicity,[status(thm)],[883])).
% 19.48/19.69 tff(1961,plain,
% 19.48/19.69 (multiply(multiply(sk_c2, sk_c7), sk_c7) = multiply(sk_c8, sk_c7)),
% 19.48/19.69 inference(symmetry,[status(thm)],[1960])).
% 19.48/19.69 tff(1962,plain,
% 19.48/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), sk_c7) = multiply(sk_c2, multiply(sk_c7, sk_c7)))),
% 19.48/19.69 inference(quant_inst,[status(thm)],[])).
% 19.48/19.69 tff(1963,plain,
% 19.48/19.69 (multiply(multiply(sk_c2, sk_c7), sk_c7) = multiply(sk_c2, multiply(sk_c7, sk_c7))),
% 19.48/19.69 inference(unit_resolution,[status(thm)],[1962, 52])).
% 19.48/19.69 tff(1964,plain,
% 19.48/19.69 (multiply(sk_c2, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c2, sk_c7), sk_c7)),
% 19.48/19.69 inference(symmetry,[status(thm)],[1963])).
% 19.48/19.69 tff(1965,plain,
% 19.48/19.69 (multiply(sk_c2, multiply(sk_c7, sk_c7)) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c7))),
% 19.48/19.69 inference(monotonicity,[status(thm)],[630])).
% 19.48/19.69 tff(1966,plain,
% 19.48/19.69 (multiply(sk_c2, multiply(inverse(sk_c8), sk_c7)) = multiply(sk_c2, multiply(sk_c7, sk_c7))),
% 19.48/19.69 inference(symmetry,[status(thm)],[1965])).
% 19.48/19.69 tff(1967,plain,
% 19.48/19.69 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7) = multiply(sk_c3, sk_c7)),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1282])).
% 19.48/19.69 tff(1968,plain,
% 19.48/19.69 (multiply(sk_c3, sk_c7) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7)),
% 19.48/19.69 inference(symmetry,[status(thm)],[1967])).
% 19.48/19.69 tff(1969,plain,
% 19.48/19.69 (multiply(inverse(sk_c8), sk_c7) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7)),
% 19.48/19.69 inference(transitivity,[status(thm)],[1569, 1567, 1564, 1968])).
% 19.48/19.69 tff(1970,plain,
% 19.48/19.69 (multiply(sk_c2, multiply(inverse(sk_c8), sk_c7)) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7))),
% 19.48/19.69 inference(monotonicity,[status(thm)],[1969])).
% 19.48/19.69 tff(1971,plain,
% 19.48/19.69 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7)) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c7))),
% 19.48/19.69 inference(symmetry,[status(thm)],[1970])).
% 19.48/19.69 tff(1972,plain,
% 19.48/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c7) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7)))),
% 19.48/19.69 inference(quant_inst,[status(thm)],[])).
% 19.48/19.69 tff(1973,plain,
% 19.48/19.69 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c7) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7))),
% 19.53/19.69 inference(unit_resolution,[status(thm)],[1972, 52])).
% 19.53/19.69 tff(1974,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c7) = multiply(multiply(sk_c2, sk_c3), sk_c7)),
% 19.53/19.69 inference(monotonicity,[status(thm)],[1414])).
% 19.53/19.69 tff(1975,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, sk_c3), sk_c7) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c7)),
% 19.53/19.69 inference(symmetry,[status(thm)],[1974])).
% 19.53/19.69 tff(1976,plain,
% 19.53/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2) = multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)))),
% 19.53/19.69 inference(quant_inst,[status(thm)],[])).
% 19.53/19.69 tff(1977,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2) = multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2))),
% 19.53/19.69 inference(unit_resolution,[status(thm)],[1976, 52])).
% 19.53/19.69 tff(1978,plain,
% 19.53/19.69 (multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)) = multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2)),
% 19.53/19.69 inference(symmetry,[status(thm)],[1977])).
% 19.53/19.69 tff(1979,plain,
% 19.53/19.69 (multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)) = multiply(sk_c2, sk_c3)),
% 19.53/19.69 inference(monotonicity,[status(thm)],[1403])).
% 19.53/19.69 tff(1980,plain,
% 19.53/19.69 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2))),
% 19.53/19.69 inference(symmetry,[status(thm)],[1979])).
% 19.53/19.69 tff(1981,plain,
% 19.53/19.69 (multiply(sk_c2, sk_c3) = multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2)),
% 19.53/19.69 inference(transitivity,[status(thm)],[1980, 1978])).
% 19.53/19.69 tff(1982,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, sk_c3), sk_c7) = multiply(multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7)),
% 19.53/19.69 inference(monotonicity,[status(thm)],[1981])).
% 19.53/19.69 tff(1983,plain,
% 19.53/19.69 (multiply(multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7) = multiply(multiply(sk_c2, sk_c3), sk_c7)),
% 19.53/19.69 inference(symmetry,[status(thm)],[1982])).
% 19.53/19.69 tff(1984,plain,
% 19.53/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7) = multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)))),
% 19.53/19.69 inference(quant_inst,[status(thm)],[])).
% 19.53/19.69 tff(1985,plain,
% 19.53/19.69 (multiply(multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7) = multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7))),
% 19.53/19.69 inference(unit_resolution,[status(thm)],[1984, 52])).
% 19.53/19.69 tff(1986,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7)),
% 19.53/19.69 inference(symmetry,[status(thm)],[1985])).
% 19.53/19.69 tff(1987,plain,
% 19.53/19.69 (multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))) = multiply(sk_c2, multiply(sk_c7, inverse(sk_c2)))),
% 19.53/19.69 inference(monotonicity,[status(thm)],[1485])).
% 19.53/19.69 tff(1988,plain,
% 19.53/19.69 (multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))) = multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))))),
% 19.53/19.69 inference(symmetry,[status(thm)],[1987])).
% 19.53/19.69 tff(1989,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3))),
% 19.53/19.69 inference(monotonicity,[status(thm)],[1988, 1496])).
% 19.53/19.69 tff(1990,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7))),
% 19.53/19.69 inference(symmetry,[status(thm)],[1989])).
% 19.53/19.69 tff(1991,plain,
% 19.53/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3)) = multiply(sk_c2, multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))))),
% 19.53/19.69 inference(quant_inst,[status(thm)],[])).
% 19.53/19.69 tff(1992,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3)) = multiply(sk_c2, multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)))),
% 19.53/19.69 inference(unit_resolution,[status(thm)],[1991, 52])).
% 19.53/19.69 tff(1993,plain,
% 19.53/19.69 (multiply(sk_c2, multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3))),
% 19.53/19.69 inference(symmetry,[status(thm)],[1992])).
% 19.53/19.69 tff(1994,plain,
% 19.53/19.69 (multiply(sk_c2, multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))) = multiply(sk_c2, multiply(sk_c3, sk_c3))),
% 19.53/19.69 inference(monotonicity,[status(thm)],[1778])).
% 19.53/19.69 tff(1995,plain,
% 19.53/19.69 (multiply(sk_c2, multiply(sk_c3, sk_c3)) = multiply(sk_c2, multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)))),
% 19.53/19.69 inference(symmetry,[status(thm)],[1994])).
% 19.53/19.69 tff(1996,plain,
% 19.53/19.69 (multiply(sk_c3, inverse(sk_c3)) = multiply(sk_c3, sk_c8)),
% 19.53/19.69 inference(monotonicity,[status(thm)],[426])).
% 19.53/19.69 tff(1997,plain,
% 19.53/19.69 (multiply(sk_c3, inverse(sk_c3)) = multiply(sk_c8, sk_c7)),
% 19.53/19.69 inference(transitivity,[status(thm)],[1996, 1605, 1326, 1604, 1262, 166, 436, 1341, 1316, 915, 1390, 1225, 1995, 1993, 1990, 1986, 1983, 1975, 1973, 1971, 1966, 1964, 1961])).
% 19.53/19.69 tff(1998,plain,
% 19.53/19.69 ((multiply(sk_c3, inverse(sk_c3)) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 19.53/19.69 inference(monotonicity,[status(thm)],[1997])).
% 19.53/19.69 tff(1999,plain,
% 19.53/19.69 (multiply(sk_c3, sk_c8) = multiply(sk_c3, inverse(sk_c3))),
% 19.53/19.69 inference(symmetry,[status(thm)],[1996])).
% 19.53/19.69 tff(2000,plain,
% 19.53/19.69 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7)) = multiply(sk_c3, sk_c8)),
% 19.53/19.69 inference(symmetry,[status(thm)],[1605])).
% 19.53/19.69 tff(2001,plain,
% 19.53/19.69 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))),
% 19.53/19.69 inference(symmetry,[status(thm)],[1604])).
% 19.53/19.69 tff(2002,plain,
% 19.53/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c7), sk_c3), sk_c3) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3)))),
% 19.53/19.69 inference(quant_inst,[status(thm)],[])).
% 19.53/19.69 tff(2003,plain,
% 19.53/19.69 (multiply(multiply(multiply(sk_c2, sk_c7), sk_c3), sk_c3) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3))),
% 19.53/19.69 inference(unit_resolution,[status(thm)],[2002, 52])).
% 19.53/19.69 tff(2004,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, sk_c7), sk_c3) = multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3)),
% 19.53/19.69 inference(monotonicity,[status(thm)],[459])).
% 19.53/19.69 tff(2005,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, sk_c7), sk_c3) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.53/19.69 inference(transitivity,[status(thm)],[2004, 1342, 218, 167, 1263, 458])).
% 19.53/19.69 tff(2006,plain,
% 19.53/19.69 (multiply(multiply(multiply(sk_c2, sk_c7), sk_c3), sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.53/19.69 inference(monotonicity,[status(thm)],[2005])).
% 19.53/19.69 tff(2007,plain,
% 19.53/19.69 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(multiply(sk_c2, sk_c7), sk_c3), sk_c3)),
% 19.53/19.69 inference(symmetry,[status(thm)],[2006])).
% 19.53/19.69 tff(2008,plain,
% 19.53/19.69 (sk_c3 = multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3))),
% 19.53/19.69 inference(transitivity,[status(thm)],[718, 1273, 2007, 2003])).
% 19.53/19.69 tff(2009,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3)))),
% 19.53/19.69 inference(monotonicity,[status(thm)],[432, 2008])).
% 19.53/19.69 tff(2010,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3))) = multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3)),
% 19.53/19.69 inference(symmetry,[status(thm)],[2009])).
% 19.53/19.69 tff(2011,plain,
% 19.53/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3))))),
% 19.53/19.69 inference(quant_inst,[status(thm)],[])).
% 19.53/19.69 tff(2012,plain,
% 19.53/19.69 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3)))),
% 19.53/19.69 inference(unit_resolution,[status(thm)],[2011, 52])).
% 19.53/19.69 tff(2013,plain,
% 19.53/19.69 (multiply(sk_c3, sk_c3) = multiply(sk_c3, sk_c7)),
% 19.53/19.69 inference(transitivity,[status(thm)],[1441, 1213, 1438, 1437, 1140, 1434, 1407, 1404])).
% 19.53/19.69 tff(2014,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)) = inverse(sk_c1)),
% 19.53/19.69 inference(transitivity,[status(thm)],[1770, 1768, 1765, 1762, 1237, 1760, 1266, 44, 1461])).
% 19.53/19.69 tff(2015,plain,
% 19.53/19.69 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)), multiply(sk_c3, sk_c3)) = multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))),
% 19.53/19.69 inference(monotonicity,[status(thm)],[2014, 2013])).
% 19.53/19.69 tff(2016,plain,
% 19.53/19.69 (multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)), multiply(sk_c3, sk_c3))),
% 19.53/19.69 inference(symmetry,[status(thm)],[2015])).
% 19.53/19.69 tff(2017,plain,
% 19.53/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c8), sk_c6) = multiply(sk_c3, multiply(sk_c8, sk_c6)))),
% 19.53/19.69 inference(quant_inst,[status(thm)],[])).
% 19.53/19.69 tff(2018,plain,
% 19.53/19.69 (multiply(multiply(sk_c3, sk_c8), sk_c6) = multiply(sk_c3, multiply(sk_c8, sk_c6))),
% 19.53/19.69 inference(unit_resolution,[status(thm)],[2017, 52])).
% 19.53/19.69 tff(2019,plain,
% 19.53/19.69 (multiply(sk_c3, multiply(sk_c8, sk_c6)) = multiply(multiply(sk_c3, sk_c8), sk_c6)),
% 19.53/19.69 inference(symmetry,[status(thm)],[2018])).
% 19.53/19.69 tff(2020,plain,
% 19.53/19.69 (multiply(sk_c3, multiply(sk_c8, sk_c6)) = multiply(sk_c3, sk_c7)),
% 19.53/19.69 inference(monotonicity,[status(thm)],[821])).
% 19.53/19.69 tff(2021,plain,
% 19.53/19.69 (multiply(sk_c3, sk_c7) = multiply(sk_c3, multiply(sk_c8, sk_c6))),
% 19.53/19.69 inference(symmetry,[status(thm)],[2020])).
% 19.53/19.69 tff(2022,plain,
% 19.53/19.69 (multiply(sk_c3, sk_c7) = multiply(multiply(sk_c3, sk_c8), sk_c6)),
% 19.53/19.69 inference(transitivity,[status(thm)],[2021, 2019])).
% 19.53/19.69 tff(2023,plain,
% 19.53/19.69 (multiply(inverse(sk_c1), multiply(sk_c3, sk_c7)) = multiply(inverse(sk_c1), multiply(multiply(sk_c3, sk_c8), sk_c6))),
% 19.53/19.69 inference(monotonicity,[status(thm)],[2022])).
% 19.53/19.69 tff(2024,plain,
% 19.53/19.69 (multiply(inverse(sk_c1), multiply(multiply(sk_c3, sk_c8), sk_c6)) = multiply(inverse(sk_c1), multiply(sk_c3, sk_c7))),
% 19.53/19.69 inference(symmetry,[status(thm)],[2023])).
% 19.53/19.69 tff(2025,plain,
% 19.53/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c8)), sk_c6) = multiply(inverse(sk_c1), multiply(multiply(sk_c3, sk_c8), sk_c6)))),
% 19.53/19.69 inference(quant_inst,[status(thm)],[])).
% 19.53/19.69 tff(2026,plain,
% 19.53/19.69 (multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c8)), sk_c6) = multiply(inverse(sk_c1), multiply(multiply(sk_c3, sk_c8), sk_c6))),
% 19.53/19.69 inference(unit_resolution,[status(thm)],[2025, 52])).
% 19.53/19.69 tff(2027,plain,
% 19.53/19.69 (multiply(sk_c3, sk_c2) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)),
% 19.53/19.69 inference(symmetry,[status(thm)],[1944])).
% 19.53/19.69 tff(2028,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, sk_c7), sk_c6) = sk_c7),
% 19.53/19.69 inference(transitivity,[status(thm)],[1123, 821])).
% 19.53/19.69 tff(2029,plain,
% 19.53/19.69 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), sk_c6)) = multiply(inverse(sk_c8), sk_c7)),
% 19.53/19.69 inference(monotonicity,[status(thm)],[324, 2028])).
% 19.53/19.69 tff(2030,plain,
% 19.53/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), sk_c6) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), sk_c6)))),
% 19.53/19.69 inference(quant_inst,[status(thm)],[])).
% 19.53/19.69 tff(2031,plain,
% 19.53/19.69 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), sk_c6) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), sk_c6))),
% 19.53/19.69 inference(unit_resolution,[status(thm)],[2030, 52])).
% 19.53/19.69 tff(2032,plain,
% 19.53/19.69 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), sk_c6)),
% 19.53/19.69 inference(monotonicity,[status(thm)],[1727])).
% 19.53/19.69 tff(2033,plain,
% 19.53/19.69 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 19.53/19.69 inference(quant_inst,[status(thm)],[])).
% 19.53/19.69 tff(2034,plain,
% 19.53/19.69 (multiply(identity, sk_c6) = sk_c6),
% 19.53/19.69 inference(unit_resolution,[status(thm)],[2033, 42])).
% 19.53/19.69 tff(2035,plain,
% 19.53/19.69 (sk_c6 = multiply(identity, sk_c6)),
% 19.53/19.69 inference(symmetry,[status(thm)],[2034])).
% 19.53/19.69 tff(2036,plain,
% 19.53/19.69 (sk_c6 = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)),
% 19.53/19.69 inference(transitivity,[status(thm)],[2035, 2032, 2031, 2029, 1569, 1567, 1564, 1399, 883, 1048, 1338, 1392, 925, 1388, 931, 934, 1386, 1060, 1384, 1052, 1377, 1368, 980, 944, 941, 1508, 1573, 1510, 2027])).
% 19.53/19.69 tff(2037,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.69 inference(monotonicity,[status(thm)],[933])).
% 19.53/19.69 tff(2038,plain,
% 19.53/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, sk_c7))))),
% 19.53/19.69 inference(quant_inst,[status(thm)],[])).
% 19.53/19.69 tff(2039,plain,
% 19.53/19.69 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 19.53/19.69 inference(unit_resolution,[status(thm)],[2038, 52])).
% 19.53/19.69 tff(2040,plain,
% 19.53/19.69 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7) = multiply(inverse(sk_c1), sk_c7)),
% 19.53/19.69 inference(monotonicity,[status(thm)],[1410])).
% 19.53/19.69 tff(2041,plain,
% 19.53/19.69 (multiply(inverse(sk_c1), sk_c7) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7)),
% 19.53/19.69 inference(symmetry,[status(thm)],[2040])).
% 19.53/19.69 tff(2042,plain,
% 19.53/19.69 (multiply(multiply(inverse(sk_c1), sk_c7), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7), multiply(sk_c2, sk_c7))),
% 19.53/19.69 inference(monotonicity,[status(thm)],[2041])).
% 19.53/19.69 tff(2043,plain,
% 19.53/19.69 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(multiply(inverse(sk_c1), sk_c7), multiply(sk_c2, sk_c7))),
% 19.53/19.69 inference(monotonicity,[status(thm)],[2040, 1387])).
% 19.53/19.69 tff(2044,plain,
% 19.53/19.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))))),
% 19.53/19.69 inference(quant_inst,[status(thm)],[])).
% 19.53/19.69 tff(2045,plain,
% 19.53/19.69 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))))),
% 19.53/19.70 inference(unit_resolution,[status(thm)],[2044, 52])).
% 19.53/19.70 tff(2046,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))),
% 19.53/19.70 inference(symmetry,[status(thm)],[2045])).
% 19.53/19.70 tff(2047,plain,
% 19.53/19.70 (multiply(sk_c3, sk_c8) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))),
% 19.53/19.70 inference(transitivity,[status(thm)],[1605, 1326])).
% 19.53/19.70 tff(2048,plain,
% 19.53/19.70 (multiply(inverse(sk_c1), multiply(sk_c3, sk_c8)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))))),
% 19.53/19.70 inference(monotonicity,[status(thm)],[1364, 2047])).
% 19.53/19.70 tff(2049,plain,
% 19.53/19.70 (multiply(inverse(sk_c1), multiply(sk_c3, sk_c8)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.70 inference(transitivity,[status(thm)],[2048, 2046, 2043, 2042, 2039, 2037])).
% 19.53/19.70 tff(2050,plain,
% 19.53/19.70 (multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c8)), sk_c6) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2049, 2036])).
% 19.53/19.70 tff(2051,plain,
% 19.53/19.70 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)) = multiply(multiply(inverse(sk_c1), multiply(sk_c3, sk_c8)), sk_c6)),
% 19.53/19.70 inference(symmetry,[status(thm)],[2050])).
% 19.53/19.70 tff(2052,plain,
% 19.53/19.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)))),
% 19.53/19.70 inference(quant_inst,[status(thm)],[])).
% 19.53/19.70 tff(2053,plain,
% 19.53/19.70 (multiply(multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.53/19.70 inference(unit_resolution,[status(thm)],[2052, 52])).
% 19.53/19.70 tff(2054,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(inverse(sk_c1), sk_c3)),
% 19.53/19.70 inference(monotonicity,[status(thm)],[1410, 1282])).
% 19.53/19.70 tff(2055,plain,
% 19.53/19.70 (multiply(inverse(sk_c1), sk_c3) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.70 inference(symmetry,[status(thm)],[2054])).
% 19.53/19.70 tff(2056,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(inverse(sk_c1), sk_c3)),
% 19.53/19.70 inference(monotonicity,[status(thm)],[1410, 1284])).
% 19.53/19.70 tff(2057,plain,
% 19.53/19.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))))),
% 19.53/19.70 inference(quant_inst,[status(thm)],[])).
% 19.53/19.70 tff(2058,plain,
% 19.53/19.70 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.53/19.70 inference(unit_resolution,[status(thm)],[2057, 52])).
% 19.53/19.70 tff(2059,plain,
% 19.53/19.70 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.70 inference(transitivity,[status(thm)],[2058, 2056, 2055])).
% 19.53/19.70 tff(2060,plain,
% 19.53/19.70 (multiply(multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2)),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2059])).
% 19.53/19.70 tff(2061,plain,
% 19.53/19.70 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2)),
% 19.53/19.70 inference(symmetry,[status(thm)],[2060])).
% 19.53/19.70 tff(2062,plain,
% 19.53/19.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)))),
% 19.53/19.70 inference(quant_inst,[status(thm)],[])).
% 19.53/19.70 tff(2063,plain,
% 19.53/19.70 (multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.53/19.70 inference(unit_resolution,[status(thm)],[2062, 52])).
% 19.53/19.70 tff(2064,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)) = multiply(multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2)),
% 19.53/19.70 inference(symmetry,[status(thm)],[2063])).
% 19.53/19.70 tff(2065,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c3, sk_c2))),
% 19.53/19.70 inference(monotonicity,[status(thm)],[1944])).
% 19.53/19.70 tff(2066,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.53/19.70 inference(symmetry,[status(thm)],[2065])).
% 19.53/19.70 tff(2067,plain,
% 19.53/19.70 (inverse(sk_c1) = multiply(sk_c3, inverse(sk_c3))),
% 19.53/19.70 inference(transitivity,[status(thm)],[1460, 102, 1265, 1759, 1236, 1761, 1950, 1946, 1943, 1941, 1939, 1930, 1928, 2066, 2064, 2061, 2053, 2051, 2026, 2024, 2016, 2012, 2010, 1342, 218, 167, 1263, 2001, 1327, 2000, 1999])).
% 19.53/19.70 tff(2068,plain,
% 19.53/19.70 ((inverse(sk_c1) = sk_c8) <=> (multiply(sk_c3, inverse(sk_c3)) = sk_c8)),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2067])).
% 19.53/19.70 tff(2069,plain,
% 19.53/19.70 ((inverse(sk_c1) = sk_c8) <=> (multiply(sk_c8, inverse(sk_c8)) = sk_c8)),
% 19.53/19.70 inference(transitivity,[status(thm)],[2068, 1998, 1959])).
% 19.53/19.70 tff(2070,plain,
% 19.53/19.70 (multiply(sk_c8, inverse(sk_c8)) = sk_c8),
% 19.53/19.70 inference(modus_ponens,[status(thm)],[1951, 2069])).
% 19.53/19.70 tff(2071,plain,
% 19.53/19.70 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))),
% 19.53/19.70 inference(rewrite,[status(thm)],[])).
% 19.53/19.70 tff(2072,plain,
% 19.53/19.70 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))),
% 19.53/19.70 inference(rewrite,[status(thm)],[])).
% 19.53/19.70 tff(2073,plain,
% 19.53/19.70 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8))))),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2072])).
% 19.53/19.70 tff(2074,plain,
% 19.53/19.70 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))),
% 19.53/19.70 inference(transitivity,[status(thm)],[2073, 2071])).
% 19.53/19.70 tff(2075,plain,
% 19.53/19.70 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))),
% 19.53/19.70 inference(quant_inst,[status(thm)],[])).
% 19.53/19.70 tff(2076,plain,
% 19.53/19.70 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8))),
% 19.53/19.70 inference(modus_ponens,[status(thm)],[2075, 2074])).
% 19.53/19.70 tff(2077,plain,
% 19.53/19.70 ((~(multiply(sk_c3, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c3, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8))),
% 19.53/19.70 inference(unit_resolution,[status(thm)],[2076, 323, 426, 390])).
% 19.53/19.70 tff(2078,plain,
% 19.53/19.70 ($false),
% 19.53/19.70 inference(unit_resolution,[status(thm)],[2077, 2070, 1956, 1399, 1952])).
% 19.53/19.70 tff(2079,plain,(inverse(sk_c4) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 19.53/19.70 tff(2080,plain,
% 19.53/19.70 (sk_c8 = inverse(sk_c4)),
% 19.53/19.70 inference(symmetry,[status(thm)],[2079])).
% 19.53/19.70 tff(2081,plain,
% 19.53/19.70 (multiply(sk_c3, sk_c2) = inverse(sk_c4)),
% 19.53/19.70 inference(transitivity,[status(thm)],[1275, 986, 1268, 1260, 943, 981, 1319, 1318, 963, 1308, 940, 1300, 1298, 932, 1297, 926, 1294, 1280, 882, 880, 2080])).
% 19.53/19.70 tff(2082,plain,
% 19.53/19.70 (multiply(multiply(sk_c3, sk_c2), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2081])).
% 19.53/19.70 tff(2083,plain,
% 19.53/19.70 (multiply(multiply(sk_c3, sk_c2), sk_c4) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.53/19.70 inference(transitivity,[status(thm)],[2082, 409, 167, 1263, 458])).
% 19.53/19.70 tff(2084,plain,
% 19.53/19.70 (multiply(multiply(multiply(sk_c3, sk_c2), sk_c4), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2083, 1282])).
% 19.53/19.70 tff(2085,plain,
% 19.53/19.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c2), sk_c4), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))))),
% 19.53/19.70 inference(quant_inst,[status(thm)],[])).
% 19.53/19.70 tff(2086,plain,
% 19.53/19.70 (multiply(multiply(multiply(sk_c3, sk_c2), sk_c4), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.53/19.70 inference(unit_resolution,[status(thm)],[2085, 52])).
% 19.53/19.70 tff(2087,plain,
% 19.53/19.70 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(multiply(sk_c3, sk_c2), sk_c4), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.70 inference(symmetry,[status(thm)],[2086])).
% 19.53/19.70 tff(2088,plain,
% 19.53/19.70 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7) = multiply(identity, sk_c7)),
% 19.53/19.70 inference(symmetry,[status(thm)],[1499])).
% 19.53/19.70 tff(2089,plain,
% 19.53/19.70 (multiply(multiply(inverse(sk_c2), sk_c2), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7)),
% 19.53/19.70 inference(symmetry,[status(thm)],[1498])).
% 19.53/19.70 tff(2090,plain,
% 19.53/19.70 (identity = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.53/19.70 inference(transitivity,[status(thm)],[436, 897, 54])).
% 19.53/19.70 tff(2091,plain,
% 19.53/19.70 (multiply(identity, inverse(sk_c1)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2090])).
% 19.53/19.70 tff(2092,plain,
% 19.53/19.70 (inverse(sk_c1) = multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.53/19.70 inference(transitivity,[status(thm)],[1000, 2091, 484, 482])).
% 19.53/19.70 tff(2093,plain,
% 19.53/19.70 (multiply(sk_c7, inverse(sk_c1)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2092])).
% 19.53/19.70 tff(2094,plain,
% 19.53/19.70 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(sk_c7, inverse(sk_c1))),
% 19.53/19.70 inference(symmetry,[status(thm)],[2093])).
% 19.53/19.70 tff(2095,plain,
% 19.53/19.70 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(sk_c7, inverse(sk_c1))),
% 19.53/19.70 inference(transitivity,[status(thm)],[1004, 479, 2094])).
% 19.53/19.70 tff(2096,plain,
% 19.53/19.70 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1) = multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1)),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2095])).
% 19.53/19.70 tff(2097,plain,
% 19.53/19.70 (multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)),
% 19.53/19.70 inference(symmetry,[status(thm)],[2096])).
% 19.53/19.70 tff(2098,plain,
% 19.53/19.70 (sk_c3 = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)),
% 19.53/19.70 inference(transitivity,[status(thm)],[718, 1273, 468, 625, 1013, 1010, 2097])).
% 19.53/19.70 tff(2099,plain,
% 19.53/19.70 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1))),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2098])).
% 19.53/19.70 tff(2100,plain,
% 19.53/19.70 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)) = multiply(sk_c2, sk_c3)),
% 19.53/19.70 inference(symmetry,[status(thm)],[2099])).
% 19.53/19.70 tff(2101,plain,
% 19.53/19.70 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))) = multiply(sk_c3, inverse(sk_c1))),
% 19.53/19.70 inference(transitivity,[status(thm)],[473, 1021, 466, 1422, 455])).
% 19.53/19.70 tff(2102,plain,
% 19.53/19.70 (multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(sk_c2, multiply(sk_c3, inverse(sk_c1)))),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2101])).
% 19.53/19.70 tff(2103,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1)),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2102])).
% 19.53/19.70 tff(2104,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1)),
% 19.53/19.70 inference(symmetry,[status(thm)],[2103])).
% 19.53/19.70 tff(2105,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(identity, inverse(sk_c1))),
% 19.53/19.70 inference(symmetry,[status(thm)],[2091])).
% 19.53/19.70 tff(2106,plain,
% 19.53/19.70 (multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = inverse(sk_c1)),
% 19.53/19.70 inference(transitivity,[status(thm)],[481, 493, 2105, 999])).
% 19.53/19.70 tff(2107,plain,
% 19.53/19.70 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2106])).
% 19.53/19.70 tff(2108,plain,
% 19.53/19.70 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.53/19.70 inference(symmetry,[status(thm)],[2107])).
% 19.53/19.70 tff(2109,plain,
% 19.53/19.70 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3), inverse(sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.53/19.70 inference(symmetry,[status(thm)],[1021])).
% 19.53/19.70 tff(2110,plain,
% 19.53/19.70 (multiply(sk_c3, inverse(sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.53/19.70 inference(transitivity,[status(thm)],[491, 1417, 490, 2109, 2108])).
% 19.53/19.70 tff(2111,plain,
% 19.53/19.70 (multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))))),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2110])).
% 19.53/19.70 tff(2112,plain,
% 19.53/19.70 (multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.53/19.70 inference(transitivity,[status(thm)],[2111, 1032, 1415])).
% 19.53/19.70 tff(2113,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1) = multiply(multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1)),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2112])).
% 19.53/19.70 tff(2114,plain,
% 19.53/19.70 (multiply(multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(sk_c2, multiply(sk_c3, inverse(sk_c1))), sk_c1)),
% 19.53/19.70 inference(symmetry,[status(thm)],[2113])).
% 19.53/19.70 tff(2115,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 19.53/19.70 inference(monotonicity,[status(thm)],[2106])).
% 19.53/19.70 tff(2116,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.53/19.70 inference(transitivity,[status(thm)],[2115, 98, 167, 1263])).
% 19.53/19.70 tff(2117,plain,
% 19.53/19.70 (multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2116])).
% 19.53/19.71 tff(2118,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2117])).
% 19.53/19.71 tff(2119,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.71 inference(symmetry,[status(thm)],[1298])).
% 19.53/19.71 tff(2120,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c2, sk_c7))),
% 19.53/19.71 inference(symmetry,[status(thm)],[1297])).
% 19.53/19.71 tff(2121,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7))),
% 19.53/19.71 inference(symmetry,[status(thm)],[1294])).
% 19.53/19.71 tff(2122,plain,
% 19.53/19.71 (multiply(sk_c2, sk_c7) = multiply(sk_c2, sk_c3)),
% 19.53/19.71 inference(transitivity,[status(thm)],[1048, 1295, 2121, 925, 2120, 931, 2119, 2118, 1043, 2114, 2104, 1018, 2100])).
% 19.53/19.71 tff(2123,plain,
% 19.53/19.71 (multiply(inverse(sk_c2), multiply(sk_c2, sk_c7)) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2122])).
% 19.53/19.71 tff(2124,plain,
% 19.53/19.71 (multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)) = multiply(inverse(sk_c2), multiply(sk_c2, sk_c7))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2123])).
% 19.53/19.71 tff(2125,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = sk_c7),
% 19.53/19.71 inference(transitivity,[status(thm)],[623, 1435, 967, 2124, 1186, 2089, 2088, 310])).
% 19.53/19.71 tff(2126,plain,
% 19.53/19.71 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c4, sk_c7)),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2125])).
% 19.53/19.71 tff(2127,plain,
% 19.53/19.71 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2126])).
% 19.53/19.71 tff(2128,plain,
% 19.53/19.71 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2127])).
% 19.53/19.71 tff(2129,plain,
% 19.53/19.71 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7)) = sk_c3),
% 19.53/19.71 inference(transitivity,[status(thm)],[2128, 2087, 2084, 1281, 61])).
% 19.53/19.71 tff(2130,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7))) = multiply(sk_c3, sk_c3)),
% 19.53/19.71 inference(monotonicity,[status(thm)],[1282, 2129])).
% 19.53/19.71 tff(2131,plain,
% 19.53/19.71 (multiply(sk_c3, sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2130])).
% 19.53/19.71 tff(2132,plain,
% 19.53/19.71 (multiply(sk_c3, sk_c3) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[1274, 1286])).
% 19.53/19.71 tff(2133,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c3, sk_c3)),
% 19.53/19.71 inference(symmetry,[status(thm)],[2132])).
% 19.53/19.71 tff(2134,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c7), sk_c3) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.53/19.71 inference(transitivity,[status(thm)],[2004, 896, 218, 167, 1263, 458])).
% 19.53/19.71 tff(2135,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c2, sk_c7), sk_c3), sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2134])).
% 19.53/19.71 tff(2136,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(multiply(sk_c2, sk_c7), sk_c3), sk_c3)),
% 19.53/19.71 inference(symmetry,[status(thm)],[2135])).
% 19.53/19.71 tff(2137,plain,
% 19.53/19.71 (sk_c3 = multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3))),
% 19.53/19.71 inference(transitivity,[status(thm)],[718, 1273, 2136, 2003])).
% 19.53/19.71 tff(2138,plain,
% 19.53/19.71 (multiply(inverse(sk_c8), sk_c3) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[323, 2137])).
% 19.53/19.71 tff(2139,plain,
% 19.53/19.71 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3))) = multiply(inverse(sk_c8), sk_c3)),
% 19.53/19.71 inference(symmetry,[status(thm)],[2138])).
% 19.53/19.71 tff(2140,plain,
% 19.53/19.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c3, sk_c3)) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3))))),
% 19.53/19.71 inference(quant_inst,[status(thm)],[])).
% 19.53/19.71 tff(2141,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c3, sk_c3)) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3)))),
% 19.53/19.71 inference(unit_resolution,[status(thm)],[2140, 52])).
% 19.53/19.71 tff(2142,plain,
% 19.53/19.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))), sk_c5) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5)))),
% 19.53/19.71 inference(quant_inst,[status(thm)],[])).
% 19.53/19.71 tff(2143,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))), sk_c5) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5))),
% 19.53/19.71 inference(unit_resolution,[status(thm)],[2142, 52])).
% 19.53/19.71 tff(2144,plain,
% 19.53/19.71 (((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 19.53/19.71 inference(rewrite,[status(thm)],[])).
% 19.53/19.71 tff(2145,axiom,((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 19.53/19.71 tff(2146,plain,
% 19.53/19.71 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 19.53/19.71 inference(modus_ponens,[status(thm)],[2145, 2144])).
% 19.53/19.71 tff(2147,plain,
% 19.53/19.71 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 19.53/19.71 inference(modus_ponens,[status(thm)],[2146, 2144])).
% 19.53/19.71 tff(2148,plain,
% 19.53/19.71 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 19.53/19.71 inference(modus_ponens,[status(thm)],[2147, 2144])).
% 19.53/19.71 tff(2149,plain,
% 19.53/19.71 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 19.53/19.71 inference(modus_ponens,[status(thm)],[2148, 2144])).
% 19.53/19.71 tff(2150,plain,
% 19.53/19.71 ((multiply(sk_c1, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 19.53/19.71 inference(modus_ponens,[status(thm)],[2149, 2144])).
% 19.53/19.71 tff(2151,plain,
% 19.53/19.71 (inverse(sk_c5) = sk_c8),
% 19.53/19.71 inference(unit_resolution,[status(thm)],[2150, 1253])).
% 19.53/19.71 tff(2152,plain,
% 19.53/19.71 (sk_c8 = inverse(sk_c5)),
% 19.53/19.71 inference(symmetry,[status(thm)],[2151])).
% 19.53/19.71 tff(2153,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1) = sk_c3),
% 19.53/19.71 inference(transitivity,[status(thm)],[2096, 1009, 1012, 626, 623, 1281, 61])).
% 19.53/19.71 tff(2154,plain,
% 19.53/19.71 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), sk_c2) = multiply(sk_c3, sk_c2)),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2153])).
% 19.53/19.71 tff(2155,plain,
% 19.53/19.71 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[1305, 324])).
% 19.53/19.71 tff(2156,plain,
% 19.53/19.71 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.53/19.71 inference(transitivity,[status(thm)],[2155, 457, 1262, 166, 436, 897, 54])).
% 19.53/19.71 tff(2157,plain,
% 19.53/19.71 (multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2156])).
% 19.53/19.71 tff(2158,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.53/19.71 inference(transitivity,[status(thm)],[1524, 2157, 626])).
% 19.53/19.71 tff(2159,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2158, 2106])).
% 19.53/19.71 tff(2160,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))) = multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.53/19.71 inference(symmetry,[status(thm)],[1521])).
% 19.53/19.71 tff(2161,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.53/19.71 inference(transitivity,[status(thm)],[1518, 2160, 2159, 472])).
% 19.53/19.71 tff(2162,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), multiply(sk_c1, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2161])).
% 19.53/19.71 tff(2163,plain,
% 19.53/19.71 (multiply(sk_c3, sk_c2) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), sk_c2)),
% 19.53/19.71 inference(symmetry,[status(thm)],[2154])).
% 19.53/19.71 tff(2164,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(sk_c3, sk_c2)),
% 19.53/19.71 inference(symmetry,[status(thm)],[1275])).
% 19.53/19.71 tff(2165,plain,
% 19.53/19.71 (multiply(sk_c7, sk_c2) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.53/19.71 inference(symmetry,[status(thm)],[1268])).
% 19.53/19.71 tff(2166,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(identity, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[1319])).
% 19.53/19.71 tff(2167,plain,
% 19.53/19.71 (multiply(multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[1318])).
% 19.53/19.71 tff(2168,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.71 inference(symmetry,[status(thm)],[1308])).
% 19.53/19.71 tff(2169,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c3), multiply(inverse(sk_c2), sk_c2))),
% 19.53/19.71 inference(symmetry,[status(thm)],[1300])).
% 19.53/19.71 tff(2170,plain,
% 19.53/19.71 (multiply(sk_c2, sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2))),
% 19.53/19.71 inference(transitivity,[status(thm)],[2099, 1061, 2103, 2113, 1042, 2117, 2169, 1060, 2168, 1052, 2167, 2166, 980, 944, 1304, 2165, 1573, 2164, 2163, 1515])).
% 19.53/19.71 tff(2171,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2170])).
% 19.53/19.71 tff(2172,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c3))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[1165, 2122])).
% 19.53/19.71 tff(2173,plain,
% 19.53/19.71 (multiply(sk_c7, sk_c2) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.53/19.71 inference(transitivity,[status(thm)],[1260, 943])).
% 19.53/19.71 tff(2174,plain,
% 19.53/19.71 (multiply(sk_c7, multiply(sk_c7, sk_c2)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2173])).
% 19.53/19.71 tff(2175,plain,
% 19.53/19.71 (multiply(multiply(inverse(sk_c8), sk_c7), sk_c2) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.71 inference(transitivity,[status(thm)],[1539, 1542, 2174])).
% 19.53/19.71 tff(2176,plain,
% 19.53/19.71 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2175])).
% 19.53/19.71 tff(2177,plain,
% 19.53/19.71 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[1659])).
% 19.53/19.71 tff(2178,plain,
% 19.53/19.71 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7)) = multiply(inverse(sk_c8), sk_c7)),
% 19.53/19.71 inference(symmetry,[status(thm)],[1569])).
% 19.53/19.71 tff(2179,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c7) = multiply(sk_c3, sk_c7)),
% 19.53/19.71 inference(monotonicity,[status(thm)],[1287])).
% 19.53/19.71 tff(2180,plain,
% 19.53/19.71 (multiply(sk_c3, sk_c7) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c7)),
% 19.53/19.71 inference(symmetry,[status(thm)],[2179])).
% 19.53/19.71 tff(2181,plain,
% 19.53/19.71 (multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)) = multiply(inverse(sk_c2), sk_c2)),
% 19.53/19.71 inference(transitivity,[status(thm)],[684, 896, 218, 696])).
% 19.53/19.71 tff(2182,plain,
% 19.53/19.71 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(inverse(sk_c2), sk_c2))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2181])).
% 19.53/19.71 tff(2183,plain,
% 19.53/19.71 (sk_c3 = multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)),
% 19.53/19.71 inference(transitivity,[status(thm)],[718, 1273, 468, 625, 2182, 717])).
% 19.53/19.71 tff(2184,plain,
% 19.53/19.71 (multiply(sk_c3, sk_c7) = multiply(multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2), sk_c7)),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2183])).
% 19.53/19.71 tff(2185,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2), sk_c7) = multiply(sk_c3, sk_c7)),
% 19.53/19.71 inference(symmetry,[status(thm)],[2184])).
% 19.53/19.71 tff(2186,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2122])).
% 19.53/19.71 tff(2187,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c7))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2186])).
% 19.53/19.71 tff(2188,plain,
% 19.53/19.71 (multiply(sk_c7, multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))) = multiply(inverse(sk_c8), sk_c3)),
% 19.53/19.71 inference(monotonicity,[status(thm)],[324, 1312])).
% 19.53/19.71 tff(2189,plain,
% 19.53/19.71 (multiply(inverse(sk_c8), sk_c3) = multiply(sk_c7, multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2188])).
% 19.53/19.71 tff(2190,plain,
% 19.53/19.71 (multiply(sk_c3, sk_c3) = multiply(inverse(sk_c8), sk_c7)),
% 19.53/19.71 inference(transitivity,[status(thm)],[2132, 1213, 1438, 2189, 1140, 2187, 1407, 2185, 2180, 1566, 2178])).
% 19.53/19.71 tff(2191,plain,
% 19.53/19.71 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2190])).
% 19.53/19.71 tff(2192,plain,
% 19.53/19.71 (multiply(sk_c4, sk_c7) = multiply(identity, multiply(sk_c4, sk_c7))),
% 19.53/19.71 inference(symmetry,[status(thm)],[1259])).
% 19.53/19.71 tff(2193,plain,
% 19.53/19.71 (sk_c8 = multiply(sk_c4, sk_c7)),
% 19.53/19.71 inference(symmetry,[status(thm)],[1257])).
% 19.53/19.71 tff(2194,plain,
% 19.53/19.71 (multiply(sk_c3, sk_c2) = multiply(sk_c3, sk_c3)),
% 19.53/19.71 inference(transitivity,[status(thm)],[1275, 986, 1268, 1260, 943, 981, 1319, 1318, 963, 1308, 940, 1300, 1298, 932, 1297, 926, 1294, 1280, 882, 880, 2193, 2192, 1332, 1335, 2130])).
% 19.53/19.71 tff(2195,plain,
% 19.53/19.71 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2194])).
% 19.53/19.71 tff(2196,plain,
% 19.53/19.71 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[1944])).
% 19.53/19.71 tff(2197,plain,
% 19.53/19.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.53/19.71 inference(quant_inst,[status(thm)],[])).
% 19.53/19.71 tff(2198,plain,
% 19.53/19.71 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.53/19.71 inference(unit_resolution,[status(thm)],[2197, 52])).
% 19.53/19.71 tff(2199,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2198])).
% 19.53/19.71 tff(2200,plain,
% 19.53/19.71 (multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c2, multiply(sk_c2, sk_c8))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[1556])).
% 19.53/19.71 tff(2201,plain,
% 19.53/19.71 (multiply(sk_c2, multiply(sk_c2, sk_c8)) = multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2200])).
% 19.53/19.71 tff(2202,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2201])).
% 19.53/19.71 tff(2203,plain,
% 19.53/19.71 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.53/19.71 inference(transitivity,[status(thm)],[933, 1262, 166, 436, 897, 54])).
% 19.53/19.71 tff(2204,plain,
% 19.53/19.71 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c7))) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2203])).
% 19.53/19.71 tff(2205,plain,
% 19.53/19.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c7))))),
% 19.53/19.71 inference(quant_inst,[status(thm)],[])).
% 19.53/19.71 tff(2206,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 19.53/19.71 inference(unit_resolution,[status(thm)],[2205, 52])).
% 19.53/19.71 tff(2207,plain,
% 19.53/19.71 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c7))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[631])).
% 19.53/19.71 tff(2208,plain,
% 19.53/19.71 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.53/19.71 inference(transitivity,[status(thm)],[2207, 2206, 2204, 626])).
% 19.53/19.71 tff(2209,plain,
% 19.53/19.71 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, sk_c7)), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2208])).
% 19.53/19.71 tff(2210,plain,
% 19.53/19.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, sk_c7)), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c8)))))),
% 19.53/19.71 inference(quant_inst,[status(thm)],[])).
% 19.53/19.71 tff(2211,plain,
% 19.53/19.71 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, sk_c7)), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c8))))),
% 19.53/19.71 inference(unit_resolution,[status(thm)],[2210, 52])).
% 19.53/19.71 tff(2212,plain,
% 19.53/19.71 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c8)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, sk_c7)), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2211])).
% 19.53/19.71 tff(2213,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2122])).
% 19.53/19.71 tff(2214,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2213])).
% 19.53/19.71 tff(2215,plain,
% 19.53/19.71 (multiply(sk_c2, sk_c3) = multiply(sk_c3, sk_c2)),
% 19.53/19.71 inference(transitivity,[status(thm)],[2099, 1061, 2103, 2113, 1042, 2117, 2169, 1060, 2168, 1052, 2167, 2166, 980, 944, 1304, 2165, 1573, 2164])).
% 19.53/19.71 tff(2216,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2215])).
% 19.53/19.71 tff(2217,plain,
% 19.53/19.71 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2216])).
% 19.53/19.71 tff(2218,plain,
% 19.53/19.71 (multiply(sk_c2, multiply(sk_c2, sk_c8)) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[1658])).
% 19.53/19.71 tff(2219,plain,
% 19.53/19.71 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, sk_c7))) = multiply(sk_c2, multiply(sk_c2, sk_c8))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2218])).
% 19.53/19.71 tff(2220,plain,
% 19.53/19.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7)) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, sk_c7))))),
% 19.53/19.71 inference(quant_inst,[status(thm)],[])).
% 19.53/19.71 tff(2221,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7)) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.53/19.71 inference(unit_resolution,[status(thm)],[2220, 52])).
% 19.53/19.71 tff(2222,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c3))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2122])).
% 19.53/19.71 tff(2223,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2222])).
% 19.53/19.71 tff(2224,plain,
% 19.53/19.71 (multiply(sk_c2, sk_c3) = multiply(sk_c2, sk_c7)),
% 19.53/19.71 inference(transitivity,[status(thm)],[2099, 1061, 2103, 2113, 1042, 2117, 1298, 932, 1297, 926, 1294, 1280, 882])).
% 19.53/19.71 tff(2225,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[1306])).
% 19.53/19.71 tff(2226,plain,
% 19.53/19.71 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = multiply(multiply(multiply(multiply(sk_c2, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.53/19.71 inference(symmetry,[status(thm)],[1301])).
% 19.53/19.71 tff(2227,plain,
% 19.53/19.71 (sk_c2 = multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.71 inference(transitivity,[status(thm)],[102, 1265, 2226, 955, 1378, 949, 2225])).
% 19.53/19.71 tff(2228,plain,
% 19.53/19.71 (multiply(sk_c2, sk_c2) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2227])).
% 19.53/19.71 tff(2229,plain,
% 19.53/19.71 (multiply(sk_c2, sk_c2) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.71 inference(transitivity,[status(thm)],[2228, 1682])).
% 19.53/19.71 tff(2230,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2229, 2224])).
% 19.53/19.71 tff(2231,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c3))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2230])).
% 19.53/19.71 tff(2232,plain,
% 19.53/19.71 (multiply(sk_c2, sk_c7) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.53/19.71 inference(transitivity,[status(thm)],[1048, 1295, 2121, 925, 2120, 931, 2119, 2169, 1060, 2168, 1052, 2167, 2166, 980])).
% 19.53/19.71 tff(2233,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[2232])).
% 19.53/19.71 tff(2234,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2233])).
% 19.53/19.71 tff(2235,plain,
% 19.53/19.71 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.71 inference(transitivity,[status(thm)],[981, 1319])).
% 19.53/19.71 tff(2236,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.71 inference(monotonicity,[status(thm)],[1867, 2235])).
% 19.53/19.71 tff(2237,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.71 inference(symmetry,[status(thm)],[2236])).
% 19.53/19.71 tff(2238,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.53/19.71 inference(monotonicity,[status(thm)],[1287])).
% 19.53/19.71 tff(2239,plain,
% 19.53/19.71 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.53/19.71 inference(transitivity,[status(thm)],[1861, 1859, 2238, 278])).
% 19.53/19.71 tff(2240,plain,
% 19.53/19.71 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2239])).
% 19.53/19.72 tff(2241,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2240])).
% 19.53/19.72 tff(2242,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.72 inference(transitivity,[status(thm)],[2241, 1865, 2237, 1870])).
% 19.53/19.72 tff(2243,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, sk_c2))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2242, 1305])).
% 19.53/19.72 tff(2244,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2243])).
% 19.53/19.72 tff(2245,plain,
% 19.53/19.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, sk_c2)))),
% 19.53/19.72 inference(quant_inst,[status(thm)],[])).
% 19.53/19.72 tff(2246,plain,
% 19.53/19.72 (multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, sk_c2))),
% 19.53/19.72 inference(unit_resolution,[status(thm)],[2245, 52])).
% 19.53/19.72 tff(2247,plain,
% 19.53/19.72 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7) = sk_c3),
% 19.53/19.72 inference(transitivity,[status(thm)],[1524, 2157, 626, 623, 1281, 61])).
% 19.53/19.72 tff(2248,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2247])).
% 19.53/19.72 tff(2249,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.53/19.72 inference(transitivity,[status(thm)],[1847, 2248, 278])).
% 19.53/19.72 tff(2250,plain,
% 19.53/19.72 (multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), sk_c2) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c2)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2249])).
% 19.53/19.72 tff(2251,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c2) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), sk_c2)),
% 19.53/19.72 inference(symmetry,[status(thm)],[2250])).
% 19.53/19.72 tff(2252,plain,
% 19.53/19.72 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)),
% 19.53/19.72 inference(symmetry,[status(thm)],[2115])).
% 19.53/19.72 tff(2253,plain,
% 19.53/19.72 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)),
% 19.53/19.72 inference(transitivity,[status(thm)],[1262, 166, 99, 2252])).
% 19.53/19.72 tff(2254,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2253])).
% 19.53/19.72 tff(2255,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2254])).
% 19.53/19.72 tff(2256,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(sk_c7, inverse(sk_c1))),
% 19.53/19.72 inference(transitivity,[status(thm)],[2107, 472, 1004, 479, 2094])).
% 19.53/19.72 tff(2257,plain,
% 19.53/19.72 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2256])).
% 19.53/19.72 tff(2258,plain,
% 19.53/19.72 (multiply(multiply(sk_c7, inverse(sk_c1)), sk_c1) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1)),
% 19.53/19.72 inference(symmetry,[status(thm)],[2257])).
% 19.53/19.72 tff(2259,plain,
% 19.53/19.72 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.72 inference(transitivity,[status(thm)],[625, 1013, 1010, 2258, 1623, 2255])).
% 19.53/19.72 tff(2260,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2259])).
% 19.53/19.72 tff(2261,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2260])).
% 19.53/19.72 tff(2262,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.53/19.72 inference(transitivity,[status(thm)],[1845, 1842, 2261, 1838, 1836, 278])).
% 19.53/19.72 tff(2263,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c2)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2262])).
% 19.53/19.72 tff(2264,plain,
% 19.53/19.72 (multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7)),
% 19.53/19.72 inference(symmetry,[status(thm)],[2155])).
% 19.53/19.72 tff(2265,plain,
% 19.53/19.72 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7)),
% 19.53/19.72 inference(transitivity,[status(thm)],[458, 2264])).
% 19.53/19.72 tff(2266,plain,
% 19.53/19.72 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), sk_c2)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2265])).
% 19.53/19.72 tff(2267,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), sk_c2) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)),
% 19.53/19.72 inference(symmetry,[status(thm)],[2266])).
% 19.53/19.72 tff(2268,plain,
% 19.53/19.72 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2173])).
% 19.53/19.72 tff(2269,plain,
% 19.53/19.72 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, sk_c2))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2268])).
% 19.53/19.72 tff(2270,plain,
% 19.53/19.72 (multiply(sk_c2, sk_c3) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.53/19.72 inference(transitivity,[status(thm)],[2099, 1061, 2103, 2113, 1042, 2117, 2169, 1060, 2168, 1052, 2167, 2166, 980])).
% 19.53/19.72 tff(2271,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2270, 2270])).
% 19.53/19.72 tff(2272,plain,
% 19.53/19.72 (sk_c8 = multiply(sk_c2, sk_c3)),
% 19.53/19.72 inference(transitivity,[status(thm)],[883, 1048, 1295, 2121, 925, 2120, 931, 2119, 2118, 1043, 2114, 2104, 1018, 2100])).
% 19.53/19.72 tff(2273,plain,
% 19.53/19.72 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2272, 2272])).
% 19.53/19.72 tff(2274,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, sk_c3), sk_c3) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.53/19.72 inference(transitivity,[status(thm)],[1291, 914, 1285, 896, 218, 167, 1263])).
% 19.53/19.72 tff(2275,plain,
% 19.53/19.72 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2274])).
% 19.53/19.72 tff(2276,plain,
% 19.53/19.72 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)) = sk_c2),
% 19.53/19.72 inference(transitivity,[status(thm)],[2275, 1243, 1242, 1239, 2273, 2271, 2269, 1237, 2267, 1266, 44])).
% 19.53/19.72 tff(2277,plain,
% 19.53/19.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.53/19.72 inference(quant_inst,[status(thm)],[])).
% 19.53/19.72 tff(2278,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.53/19.72 inference(unit_resolution,[status(thm)],[2277, 52])).
% 19.53/19.72 tff(2279,plain,
% 19.53/19.72 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2278])).
% 19.53/19.72 tff(2280,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2279, 2276])).
% 19.53/19.72 tff(2281,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(sk_c2, multiply(sk_c2, sk_c8))),
% 19.53/19.72 inference(transitivity,[status(thm)],[2280, 2263, 2251, 2246, 2244, 2234, 2231, 2223, 2221, 2219])).
% 19.53/19.72 tff(2282,plain,
% 19.53/19.72 (multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2281])).
% 19.53/19.72 tff(2283,plain,
% 19.53/19.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))))),
% 19.53/19.72 inference(quant_inst,[status(thm)],[])).
% 19.53/19.72 tff(2284,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))))),
% 19.53/19.72 inference(unit_resolution,[status(thm)],[2283, 52])).
% 19.53/19.72 tff(2285,plain,
% 19.53/19.72 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2275])).
% 19.53/19.72 tff(2286,plain,
% 19.53/19.72 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c7))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.72 inference(symmetry,[status(thm)],[1243])).
% 19.53/19.72 tff(2287,plain,
% 19.53/19.72 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7))),
% 19.53/19.72 inference(symmetry,[status(thm)],[1239])).
% 19.53/19.72 tff(2288,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3)) = multiply(sk_c8, sk_c8)),
% 19.53/19.72 inference(symmetry,[status(thm)],[2273])).
% 19.53/19.72 tff(2289,plain,
% 19.53/19.72 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2271])).
% 19.53/19.72 tff(2290,plain,
% 19.53/19.72 (sk_c2 = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))),
% 19.53/19.72 inference(transitivity,[status(thm)],[102, 1265, 2266, 1236, 2268, 2289, 2288, 2287, 1241, 2286, 2285])).
% 19.53/19.72 tff(2291,plain,
% 19.53/19.72 (multiply(sk_c2, sk_c8) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2272])).
% 19.53/19.72 tff(2292,plain,
% 19.53/19.72 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(sk_c2, sk_c8)),
% 19.53/19.72 inference(symmetry,[status(thm)],[2291])).
% 19.53/19.72 tff(2293,plain,
% 19.53/19.72 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))),
% 19.53/19.72 inference(transitivity,[status(thm)],[2279, 1845, 1842, 2261, 1838, 1836, 278, 2292, 1557])).
% 19.53/19.72 tff(2294,plain,
% 19.53/19.72 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2293])).
% 19.53/19.72 tff(2295,plain,
% 19.53/19.72 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2294])).
% 19.53/19.72 tff(2296,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2215])).
% 19.53/19.72 tff(2297,plain,
% 19.53/19.72 (multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.53/19.72 inference(transitivity,[status(thm)],[1588, 684, 896, 218, 167, 1263, 458])).
% 19.53/19.72 tff(2298,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))), sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2297])).
% 19.53/19.72 tff(2299,plain,
% 19.53/19.72 (multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = sk_c3),
% 19.53/19.72 inference(transitivity,[status(thm)],[1593, 2298, 1281, 61])).
% 19.53/19.72 tff(2300,plain,
% 19.53/19.72 (multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))) = multiply(sk_c2, sk_c3)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2299])).
% 19.53/19.72 tff(2301,plain,
% 19.53/19.72 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2247])).
% 19.53/19.72 tff(2302,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2301])).
% 19.53/19.72 tff(2303,plain,
% 19.53/19.72 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))) = multiply(sk_c2, sk_c3)),
% 19.53/19.72 inference(transitivity,[status(thm)],[2302, 1585, 2300])).
% 19.53/19.72 tff(2304,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2303])).
% 19.53/19.72 tff(2305,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2301])).
% 19.53/19.72 tff(2306,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2305])).
% 19.53/19.72 tff(2307,plain,
% 19.53/19.72 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2301])).
% 19.53/19.72 tff(2308,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2307, 1659])).
% 19.53/19.72 tff(2309,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2308])).
% 19.53/19.72 tff(2310,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2301])).
% 19.53/19.72 tff(2311,plain,
% 19.53/19.72 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2), multiply(sk_c2, sk_c7))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2310])).
% 19.53/19.72 tff(2312,plain,
% 19.53/19.72 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), sk_c2), multiply(sk_c2, sk_c7))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2311])).
% 19.53/19.72 tff(2313,plain,
% 19.53/19.72 (multiply(sk_c8, multiply(sk_c6, sk_c3)) = multiply(sk_c3, sk_c3)),
% 19.53/19.72 inference(transitivity,[status(thm)],[1147, 1144, 1446, 1214, 2133])).
% 19.53/19.72 tff(2314,plain,
% 19.53/19.72 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c7, sk_c2))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2313, 1305])).
% 19.53/19.72 tff(2315,plain,
% 19.53/19.72 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2314])).
% 19.53/19.72 tff(2316,plain,
% 19.53/19.72 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[1287])).
% 19.53/19.72 tff(2317,plain,
% 19.53/19.72 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c7) = multiply(multiply(sk_c3, sk_c3), sk_c7)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2313])).
% 19.53/19.72 tff(2318,plain,
% 19.53/19.72 (multiply(multiply(sk_c3, sk_c3), sk_c7) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c7)),
% 19.53/19.72 inference(symmetry,[status(thm)],[2317])).
% 19.53/19.72 tff(2319,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2318])).
% 19.53/19.72 tff(2320,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)),
% 19.53/19.72 inference(transitivity,[status(thm)],[2319, 1466, 2316])).
% 19.53/19.72 tff(2321,plain,
% 19.53/19.72 (multiply(multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2)),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2320])).
% 19.53/19.72 tff(2322,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2) = multiply(multiply(multiply(multiply(sk_c3, sk_c3), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.53/19.72 inference(symmetry,[status(thm)],[2321])).
% 19.53/19.72 tff(2323,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.72 inference(transitivity,[status(thm)],[2322, 1473, 1649, 1477, 2315])).
% 19.53/19.72 tff(2324,plain,
% 19.53/19.72 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2323])).
% 19.53/19.72 tff(2325,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2), multiply(sk_c2, sk_c7))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2324])).
% 19.53/19.72 tff(2326,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.53/19.72 inference(transitivity,[status(thm)],[2254, 1624, 2257, 1009, 1012, 626])).
% 19.53/19.72 tff(2327,plain,
% 19.53/19.72 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c6, sk_c2))),
% 19.53/19.72 inference(monotonicity,[status(thm)],[2326])).
% 19.53/19.72 tff(2328,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2))),
% 19.53/19.72 inference(symmetry,[status(thm)],[2327])).
% 19.53/19.72 tff(2329,plain,
% 19.53/19.72 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.72 inference(transitivity,[status(thm)],[625, 1271])).
% 19.53/19.72 tff(2330,plain,
% 19.53/19.72 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2329])).
% 19.53/19.73 tff(2331,plain,
% 19.53/19.73 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c6, sk_c2))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2330])).
% 19.53/19.73 tff(2332,plain,
% 19.53/19.73 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[630, 2235])).
% 19.53/19.73 tff(2333,plain,
% 19.53/19.73 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2332])).
% 19.53/19.73 tff(2334,plain,
% 19.53/19.73 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(inverse(sk_c8), sk_c3)),
% 19.53/19.73 inference(monotonicity,[status(thm)],[324, 1287])).
% 19.53/19.73 tff(2335,plain,
% 19.53/19.73 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c8, multiply(sk_c6, sk_c3))),
% 19.53/19.73 inference(transitivity,[status(thm)],[1154, 1153, 2334, 1150, 1146])).
% 19.53/19.73 tff(2336,plain,
% 19.53/19.73 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2335])).
% 19.53/19.73 tff(2337,plain,
% 19.53/19.73 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2336])).
% 19.53/19.73 tff(2338,plain,
% 19.53/19.73 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(transitivity,[status(thm)],[2337, 1158, 2333, 1163, 1643, 1642, 2331, 2328, 1631, 1639])).
% 19.53/19.73 tff(2339,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, sk_c7))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2338])).
% 19.53/19.73 tff(2340,plain,
% 19.53/19.73 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2339])).
% 19.53/19.73 tff(2341,plain,
% 19.53/19.73 (multiply(sk_c7, multiply(inverse(sk_c2), sk_c2)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2182])).
% 19.53/19.73 tff(2342,plain,
% 19.53/19.73 (multiply(sk_c7, inverse(sk_c2)) = multiply(multiply(sk_c2, multiply(sk_c7, sk_c6)), inverse(sk_c2))),
% 19.53/19.73 inference(symmetry,[status(thm)],[1128])).
% 19.53/19.73 tff(2343,plain,
% 19.53/19.73 (multiply(sk_c7, inverse(sk_c2)) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))),
% 19.53/19.73 inference(transitivity,[status(thm)],[2342, 1130])).
% 19.53/19.73 tff(2344,plain,
% 19.53/19.73 (multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2343, 2227])).
% 19.53/19.73 tff(2345,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)),
% 19.53/19.73 inference(symmetry,[status(thm)],[2344])).
% 19.53/19.73 tff(2346,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)) = multiply(sk_c8, multiply(sk_c6, sk_c3))),
% 19.53/19.73 inference(transitivity,[status(thm)],[1136, 1139, 2188, 1150, 1146])).
% 19.53/19.73 tff(2347,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2346])).
% 19.53/19.73 tff(2348,plain,
% 19.53/19.73 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2347])).
% 19.53/19.73 tff(2349,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = sk_c3),
% 19.53/19.73 inference(transitivity,[status(thm)],[1636, 1632, 2327, 2330, 1617, 1615, 1164, 2332, 1159, 2336, 2348, 1135, 2345, 701, 2341, 626, 623, 1281, 61])).
% 19.53/19.73 tff(2350,plain,
% 19.53/19.73 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, sk_c7)) = multiply(sk_c3, sk_c8)),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2349, 880])).
% 19.53/19.73 tff(2351,plain,
% 19.53/19.73 (multiply(sk_c3, sk_c8) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, sk_c7))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2350])).
% 19.53/19.73 tff(2352,plain,
% 19.53/19.73 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.73 inference(transitivity,[status(thm)],[1330, 1327, 1324, 2351, 2340, 2325, 2312, 1656, 2309, 2306])).
% 19.53/19.73 tff(2353,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2352])).
% 19.53/19.73 tff(2354,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), sk_c2)) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[1299])).
% 19.53/19.73 tff(2355,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), sk_c2)),
% 19.53/19.73 inference(monotonicity,[status(thm)],[1307])).
% 19.53/19.73 tff(2356,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), multiply(sk_c2, sk_c3))) = multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3))),
% 19.53/19.73 inference(symmetry,[status(thm)],[1676])).
% 19.53/19.73 tff(2357,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c2), sk_c3) = multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), multiply(sk_c2, sk_c3)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[1674])).
% 19.53/19.73 tff(2358,plain,
% 19.53/19.73 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3))),
% 19.53/19.73 inference(transitivity,[status(thm)],[279, 2357, 2356])).
% 19.53/19.73 tff(2359,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2358])).
% 19.53/19.73 tff(2360,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.53/19.73 inference(transitivity,[status(thm)],[2359, 1673, 2355, 1669, 2354, 2353, 1602, 2304, 2296, 2295])).
% 19.53/19.73 tff(2361,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c2) = multiply(multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2360, 2290])).
% 19.53/19.73 tff(2362,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c2), sk_c2) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c2)),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2229])).
% 19.53/19.73 tff(2363,plain,
% 19.53/19.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c2), sk_c2) = multiply(sk_c2, multiply(sk_c2, sk_c2)))),
% 19.53/19.73 inference(quant_inst,[status(thm)],[])).
% 19.53/19.73 tff(2364,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c2), sk_c2) = multiply(sk_c2, multiply(sk_c2, sk_c2))),
% 19.53/19.73 inference(unit_resolution,[status(thm)],[2363, 52])).
% 19.53/19.73 tff(2365,plain,
% 19.53/19.73 (multiply(sk_c2, multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c2, sk_c2), sk_c2)),
% 19.53/19.73 inference(symmetry,[status(thm)],[2364])).
% 19.53/19.73 tff(2366,plain,
% 19.53/19.73 (multiply(sk_c2, multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.53/19.73 inference(transitivity,[status(thm)],[2365, 2362, 2361, 2284, 2282, 2217, 2214])).
% 19.53/19.73 tff(2367,plain,
% 19.53/19.73 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(sk_c2, sk_c2))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, multiply(sk_c2, sk_c8))))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2190, 2366])).
% 19.53/19.73 tff(2368,plain,
% 19.53/19.73 (multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, sk_c2), sk_c2)) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(sk_c2, sk_c2)))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2194, 2364])).
% 19.53/19.73 tff(2369,plain,
% 19.53/19.73 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(sk_c2, sk_c2)),
% 19.53/19.73 inference(symmetry,[status(thm)],[2228])).
% 19.53/19.73 tff(2370,plain,
% 19.53/19.73 (multiply(multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2359])).
% 19.53/19.73 tff(2371,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[1673])).
% 19.53/19.73 tff(2372,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2355])).
% 19.53/19.73 tff(2373,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c2), inverse(sk_c2)), sk_c2)),
% 19.53/19.73 inference(symmetry,[status(thm)],[1669])).
% 19.53/19.73 tff(2374,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, sk_c2), multiply(inverse(sk_c2), sk_c2))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2354])).
% 19.53/19.73 tff(2375,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2353])).
% 19.53/19.73 tff(2376,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2304])).
% 19.53/19.73 tff(2377,plain,
% 19.53/19.73 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2296])).
% 19.53/19.73 tff(2378,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(sk_c2, sk_c2)),
% 19.53/19.73 inference(transitivity,[status(thm)],[2199, 2196, 2377, 2376, 1601, 2375, 2374, 2373, 2372, 2371, 2370, 1681, 2369])).
% 19.53/19.73 tff(2379,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))) = multiply(sk_c2, multiply(sk_c2, sk_c2))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2276, 2378])).
% 19.53/19.73 tff(2380,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))) = multiply(multiply(sk_c2, sk_c2), sk_c2)),
% 19.53/19.73 inference(transitivity,[status(thm)],[2379, 2365])).
% 19.53/19.73 tff(2381,plain,
% 19.53/19.73 (multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))) = multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, sk_c2), sk_c2))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2380])).
% 19.53/19.73 tff(2382,plain,
% 19.53/19.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))) = multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))))),
% 19.53/19.73 inference(quant_inst,[status(thm)],[])).
% 19.53/19.73 tff(2383,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))) = multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))))),
% 19.53/19.73 inference(unit_resolution,[status(thm)],[2382, 52])).
% 19.53/19.73 tff(2384,plain,
% 19.53/19.73 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2196])).
% 19.53/19.73 tff(2385,plain,
% 19.53/19.73 (multiply(sk_c2, sk_c2) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.53/19.73 inference(transitivity,[status(thm)],[2228, 1682, 2359, 1673, 2355, 1669, 2354, 2353, 1602, 2304, 2296, 2384, 2198])).
% 19.53/19.73 tff(2386,plain,
% 19.53/19.73 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)) = multiply(sk_c8, sk_c8)),
% 19.53/19.73 inference(transitivity,[status(thm)],[2275, 1243, 1242, 1239])).
% 19.53/19.73 tff(2387,plain,
% 19.53/19.73 (multiply(sk_c3, sk_c2) = sk_c8),
% 19.53/19.73 inference(transitivity,[status(thm)],[1275, 986, 1268, 1260, 943, 981, 1319, 1318, 963, 1308, 940, 1300, 1298, 932, 1297, 926, 1294, 1280, 882, 880])).
% 19.53/19.73 tff(2388,plain,
% 19.53/19.73 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2387, 2386])).
% 19.53/19.73 tff(2389,plain,
% 19.53/19.73 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2388])).
% 19.53/19.73 tff(2390,plain,
% 19.53/19.73 (multiply(sk_c8, sk_c8) = sk_c2),
% 19.53/19.73 inference(transitivity,[status(thm)],[2273, 2271, 2269, 1237, 2267, 1266, 44])).
% 19.53/19.73 tff(2391,plain,
% 19.53/19.73 (sk_c8 = multiply(sk_c3, sk_c2)),
% 19.53/19.73 inference(transitivity,[status(thm)],[883, 1048, 1295, 2121, 925, 2120, 931, 2119, 2169, 1060, 2168, 1052, 2167, 2166, 980, 944, 1304, 2165, 1573, 2164])).
% 19.53/19.73 tff(2392,plain,
% 19.53/19.73 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c3, sk_c2), sk_c2)),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2391, 2390])).
% 19.53/19.73 tff(2393,plain,
% 19.53/19.73 (multiply(multiply(sk_c3, sk_c2), sk_c2) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2392])).
% 19.53/19.73 tff(2394,plain,
% 19.53/19.73 (multiply(sk_c3, sk_c2) = multiply(sk_c2, sk_c3)),
% 19.53/19.73 inference(transitivity,[status(thm)],[1275, 986, 1268, 1260, 943, 981, 1319, 1318, 963, 1308, 940, 1300, 2118, 1043, 2114, 2104, 1018, 2100])).
% 19.53/19.73 tff(2395,plain,
% 19.53/19.73 (multiply(multiply(sk_c3, sk_c2), sk_c2) = multiply(multiply(sk_c2, sk_c3), sk_c2)),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2394])).
% 19.53/19.73 tff(2396,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c3), sk_c2) = multiply(multiply(sk_c3, sk_c2), sk_c2)),
% 19.53/19.73 inference(symmetry,[status(thm)],[2395])).
% 19.53/19.73 tff(2397,plain,
% 19.53/19.73 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[1414])).
% 19.53/19.73 tff(2398,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c3), sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2)),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2397])).
% 19.53/19.73 tff(2399,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(sk_c2, sk_c3), sk_c2)),
% 19.53/19.73 inference(symmetry,[status(thm)],[2398])).
% 19.53/19.73 tff(2400,plain,
% 19.53/19.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)))),
% 19.53/19.73 inference(quant_inst,[status(thm)],[])).
% 19.53/19.73 tff(2401,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.53/19.73 inference(unit_resolution,[status(thm)],[2400, 52])).
% 19.53/19.73 tff(2402,plain,
% 19.53/19.73 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2)),
% 19.53/19.73 inference(symmetry,[status(thm)],[2401])).
% 19.53/19.73 tff(2403,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[1166])).
% 19.53/19.73 tff(2404,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2403])).
% 19.53/19.73 tff(2405,plain,
% 19.53/19.73 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2)) = multiply(identity, multiply(sk_c6, sk_c2))),
% 19.53/19.73 inference(symmetry,[status(thm)],[1728])).
% 19.53/19.73 tff(2406,plain,
% 19.53/19.73 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c6, sk_c2)),
% 19.53/19.73 inference(transitivity,[status(thm)],[1165, 1634, 2405, 1173])).
% 19.53/19.73 tff(2407,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c6, sk_c2))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2406])).
% 19.53/19.73 tff(2408,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2407])).
% 19.53/19.73 tff(2409,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[1290])).
% 19.53/19.73 tff(2410,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c6, sk_c2))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2409])).
% 19.53/19.73 tff(2411,plain,
% 19.53/19.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(quant_inst,[status(thm)],[])).
% 19.53/19.73 tff(2412,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(unit_resolution,[status(thm)],[2411, 52])).
% 19.53/19.73 tff(2413,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2412])).
% 19.53/19.73 tff(2414,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[1614])).
% 19.53/19.73 tff(2415,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2414])).
% 19.53/19.73 tff(2416,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[880, 2406])).
% 19.53/19.73 tff(2417,plain,
% 19.53/19.73 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2416])).
% 19.53/19.73 tff(2418,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(transitivity,[status(thm)],[1944, 1275, 986, 1268, 1260, 943, 2417, 2415, 2413, 2410, 2408, 2404])).
% 19.53/19.73 tff(2419,plain,
% 19.53/19.73 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2418])).
% 19.53/19.73 tff(2420,plain,
% 19.53/19.73 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2419])).
% 19.53/19.73 tff(2421,plain,
% 19.53/19.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))))),
% 19.53/19.73 inference(quant_inst,[status(thm)],[])).
% 19.53/19.73 tff(2422,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))))),
% 19.53/19.73 inference(unit_resolution,[status(thm)],[2421, 52])).
% 19.53/19.73 tff(2423,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[1166])).
% 19.53/19.73 tff(2424,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(symmetry,[status(thm)],[2423])).
% 19.53/19.73 tff(2425,plain,
% 19.53/19.73 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[1305])).
% 19.53/19.73 tff(2426,plain,
% 19.53/19.73 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(transitivity,[status(thm)],[2425, 1742, 1740])).
% 19.53/19.73 tff(2427,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2426])).
% 19.53/19.73 tff(2428,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(sk_c7, multiply(sk_c6, sk_c2))),
% 19.53/19.73 inference(transitivity,[status(thm)],[1636, 1632, 2327, 2330, 1617, 1615, 1731])).
% 19.53/19.73 tff(2429,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2428])).
% 19.53/19.73 tff(2430,plain,
% 19.53/19.73 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.73 inference(transitivity,[status(thm)],[625, 2182, 717, 2344, 1489, 2347, 2337, 1158, 2333, 1163, 1643, 1642, 2331, 2328, 1631, 1639])).
% 19.53/19.73 tff(2431,plain,
% 19.53/19.73 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.53/19.73 inference(monotonicity,[status(thm)],[2430])).
% 19.53/19.73 tff(2432,plain,
% 19.53/19.73 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.53/19.73 inference(transitivity,[status(thm)],[1270, 626])).
% 19.53/19.73 tff(2433,plain,
% 19.53/19.73 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.74 inference(transitivity,[status(thm)],[1871, 2236, 1866, 2240])).
% 19.53/19.74 tff(2434,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2433, 2432])).
% 19.53/19.74 tff(2435,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, sk_c2), sk_c3) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2248])).
% 19.53/19.74 tff(2436,plain,
% 19.53/19.74 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7)),
% 19.53/19.74 inference(transitivity,[status(thm)],[279, 2435, 1848])).
% 19.53/19.74 tff(2437,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2436])).
% 19.53/19.74 tff(2438,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.74 inference(symmetry,[status(thm)],[1842])).
% 19.53/19.74 tff(2439,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.74 inference(symmetry,[status(thm)],[1838])).
% 19.53/19.74 tff(2440,plain,
% 19.53/19.74 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))),
% 19.53/19.74 inference(transitivity,[status(thm)],[279, 1835, 2439, 2260, 2438, 1844, 2437, 1855, 2434, 2431, 2429, 1880, 2427, 2424, 2422, 2420, 2402, 2399, 2396, 2393, 2389])).
% 19.53/19.74 tff(2441,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c2, sk_c2)) = multiply(multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2440, 2385])).
% 19.53/19.74 tff(2442,plain,
% 19.53/19.74 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))) = multiply(sk_c2, sk_c2)),
% 19.53/19.74 inference(transitivity,[status(thm)],[2294, 2377, 2376, 1601, 2375, 2374, 2373, 2372, 2371, 2370, 1681, 2369])).
% 19.53/19.74 tff(2443,plain,
% 19.53/19.74 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(sk_c2, multiply(sk_c2, sk_c3))),
% 19.53/19.74 inference(transitivity,[status(thm)],[2279, 1845, 1842, 2261, 1838, 1836, 278])).
% 19.53/19.74 tff(2444,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c2, sk_c2))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2443, 2442])).
% 19.53/19.74 tff(2445,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2446,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2445, 52])).
% 19.53/19.74 tff(2447,plain,
% 19.53/19.74 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.53/19.74 inference(transitivity,[status(thm)],[1556, 2291, 279, 1835, 2439, 2260, 2438, 1844, 2278])).
% 19.53/19.74 tff(2448,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2)) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2279, 1276])).
% 19.53/19.74 tff(2449,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2448])).
% 19.53/19.74 tff(2450,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2262])).
% 19.53/19.74 tff(2451,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2450])).
% 19.53/19.74 tff(2452,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2))),
% 19.53/19.74 inference(transitivity,[status(thm)],[2451, 2449])).
% 19.53/19.74 tff(2453,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2452, 2447])).
% 19.53/19.74 tff(2454,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2229])).
% 19.53/19.74 tff(2455,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), sk_c6) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2456,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), sk_c6) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2455, 52])).
% 19.53/19.74 tff(2457,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), sk_c6)) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2456])).
% 19.53/19.74 tff(2458,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8))), sk_c6) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), sk_c6)))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2459,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8))), sk_c6) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), sk_c6))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2458, 52])).
% 19.53/19.74 tff(2460,plain,
% 19.53/19.74 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), sk_c6) = multiply(identity, sk_c6)),
% 19.53/19.74 inference(symmetry,[status(thm)],[2032])).
% 19.53/19.74 tff(2461,plain,
% 19.53/19.74 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), sk_c6)) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), sk_c6)),
% 19.53/19.74 inference(symmetry,[status(thm)],[2031])).
% 19.53/19.74 tff(2462,plain,
% 19.53/19.74 (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), sk_c6))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2029])).
% 19.53/19.74 tff(2463,plain,
% 19.53/19.74 (multiply(sk_c3, sk_c2) = sk_c6),
% 19.53/19.74 inference(transitivity,[status(thm)],[1275, 986, 1268, 1260, 943, 981, 1319, 1318, 963, 1308, 940, 1300, 1298, 932, 1297, 926, 1294, 1280, 882, 880, 2193, 2192, 1332, 1335, 2130, 2132, 1213, 1438, 2189, 1140, 2187, 1407, 2185, 2180, 1566, 2178, 2462, 2461, 2460, 2034])).
% 19.53/19.74 tff(2464,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2229])).
% 19.53/19.74 tff(2465,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2464])).
% 19.53/19.74 tff(2466,plain,
% 19.53/19.74 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(sk_c3, sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8))), sk_c6)),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2465, 2463])).
% 19.53/19.74 tff(2467,plain,
% 19.53/19.74 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[933])).
% 19.53/19.74 tff(2468,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7))))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2469,plain,
% 19.53/19.74 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c2, sk_c7)) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2468, 52])).
% 19.53/19.74 tff(2470,plain,
% 19.53/19.74 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c2, sk_c7))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2469])).
% 19.53/19.74 tff(2471,plain,
% 19.53/19.74 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7))),
% 19.53/19.74 inference(transitivity,[status(thm)],[2275, 1243, 1242])).
% 19.53/19.74 tff(2472,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2473,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2472, 52])).
% 19.53/19.74 tff(2474,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)),
% 19.53/19.74 inference(transitivity,[status(thm)],[2473, 2301])).
% 19.53/19.74 tff(2475,plain,
% 19.53/19.74 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2)),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2474])).
% 19.53/19.74 tff(2476,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, sk_c2)))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2477,plain,
% 19.53/19.74 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, sk_c2))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2476, 52])).
% 19.53/19.74 tff(2478,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), sk_c2)),
% 19.53/19.74 inference(symmetry,[status(thm)],[2477])).
% 19.53/19.74 tff(2479,plain,
% 19.53/19.74 (multiply(sk_c2, sk_c7) = multiply(sk_c7, sk_c2)),
% 19.53/19.74 inference(transitivity,[status(thm)],[1048, 1295, 2121, 925, 2120, 931, 2119, 2169, 1060, 2168, 1052, 2167, 2166, 980, 944, 1304])).
% 19.53/19.74 tff(2480,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, sk_c2))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2479])).
% 19.53/19.74 tff(2481,plain,
% 19.53/19.74 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2335, 1166])).
% 19.53/19.74 tff(2482,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2483,plain,
% 19.53/19.74 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2482, 52])).
% 19.53/19.74 tff(2484,plain,
% 19.53/19.74 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2483])).
% 19.53/19.74 tff(2485,plain,
% 19.53/19.74 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[1166])).
% 19.53/19.74 tff(2486,plain,
% 19.53/19.74 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2485])).
% 19.53/19.74 tff(2487,plain,
% 19.53/19.74 (multiply(identity, multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[1264, 1166])).
% 19.53/19.74 tff(2488,plain,
% 19.53/19.74 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2489,plain,
% 19.53/19.74 (multiply(identity, multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2488, 42])).
% 19.53/19.74 tff(2490,plain,
% 19.53/19.74 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))) = multiply(identity, multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2489])).
% 19.53/19.74 tff(2491,plain,
% 19.53/19.74 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.53/19.74 inference(transitivity,[status(thm)],[1165, 2490, 2487, 2486])).
% 19.53/19.74 tff(2492,plain,
% 19.53/19.74 (sk_c6 = multiply(inverse(sk_c8), sk_c7)),
% 19.53/19.74 inference(transitivity,[status(thm)],[2035, 2032, 2031, 2029])).
% 19.53/19.74 tff(2493,plain,
% 19.53/19.74 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2492, 2491])).
% 19.53/19.74 tff(2494,plain,
% 19.53/19.74 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.74 inference(transitivity,[status(thm)],[2493, 2484, 2481])).
% 19.53/19.74 tff(2495,plain,
% 19.53/19.74 (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, sk_c7))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2494])).
% 19.53/19.74 tff(2496,plain,
% 19.53/19.74 (multiply(sk_c6, multiply(sk_c6, sk_c2)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[1729])).
% 19.53/19.74 tff(2497,plain,
% 19.53/19.74 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c2)), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, sk_c7))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2496])).
% 19.53/19.74 tff(2498,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), sk_c2) = multiply(sk_c6, multiply(sk_c6, sk_c2)))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2499,plain,
% 19.53/19.74 (multiply(multiply(sk_c6, sk_c6), sk_c2) = multiply(sk_c6, multiply(sk_c6, sk_c2))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2498, 52])).
% 19.53/19.74 tff(2500,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c6, sk_c6), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c2)), multiply(sk_c2, sk_c7))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2499])).
% 19.53/19.74 tff(2501,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c6), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, multiply(sk_c2, sk_c7))))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2502,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c6, sk_c6), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2501, 52])).
% 19.53/19.74 tff(2503,plain,
% 19.53/19.74 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c6, sk_c6), sk_c2), multiply(sk_c2, sk_c7))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2502])).
% 19.53/19.74 tff(2504,plain,
% 19.53/19.74 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[1659])).
% 19.53/19.74 tff(2505,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c3, sk_c3)),
% 19.53/19.74 inference(monotonicity,[status(thm)],[1282, 1282])).
% 19.53/19.74 tff(2506,plain,
% 19.53/19.74 (multiply(sk_c3, sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2505])).
% 19.53/19.74 tff(2507,plain,
% 19.53/19.74 (sk_c6 = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.53/19.74 inference(transitivity,[status(thm)],[2035, 2032, 2031, 2029, 1569, 1567, 2179, 2184, 1406, 2186, 1139, 2188, 1446, 1214, 2133, 2506])).
% 19.53/19.74 tff(2508,plain,
% 19.53/19.74 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c3, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2313, 2253])).
% 19.53/19.74 tff(2509,plain,
% 19.53/19.74 (multiply(multiply(sk_c3, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2508])).
% 19.53/19.74 tff(2510,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(sk_c3, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2511,plain,
% 19.53/19.74 (multiply(multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(sk_c3, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2510, 52])).
% 19.53/19.74 tff(2512,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))), multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), multiply(sk_c3, inverse(sk_c1)))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[2297])).
% 19.53/19.74 tff(2513,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))), multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1)))))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2514,plain,
% 19.53/19.74 (multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))), multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1))))),
% 19.53/19.74 inference(unit_resolution,[status(thm)],[2513, 52])).
% 19.53/19.74 tff(2515,plain,
% 19.53/19.74 (multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1)))) = multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))), multiply(sk_c3, inverse(sk_c1)))),
% 19.53/19.74 inference(symmetry,[status(thm)],[2514])).
% 19.53/19.74 tff(2516,plain,
% 19.53/19.74 (multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1)))) = multiply(sk_c3, inverse(sk_c1))),
% 19.53/19.74 inference(transitivity,[status(thm)],[2515, 2512, 1422, 455])).
% 19.53/19.74 tff(2517,plain,
% 19.53/19.74 (multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1))))) = multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))),
% 19.53/19.74 inference(monotonicity,[status(thm)],[324, 2516])).
% 19.53/19.74 tff(2518,plain,
% 19.53/19.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1)))) = multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1))))))),
% 19.53/19.74 inference(quant_inst,[status(thm)],[])).
% 19.53/19.74 tff(2519,plain,
% 19.53/19.74 (multiply(multiply(sk_c7, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1)))) = multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1)))))),
% 19.53/19.75 inference(unit_resolution,[status(thm)],[2518, 52])).
% 19.53/19.75 tff(2520,plain,
% 19.53/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1)))),
% 19.53/19.75 inference(monotonicity,[status(thm)],[2101])).
% 19.53/19.75 tff(2521,plain,
% 19.53/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c3, inverse(sk_c1))))),
% 19.53/19.75 inference(monotonicity,[status(thm)],[1305, 2520])).
% 19.53/19.75 tff(2522,plain,
% 19.53/19.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))))),
% 19.53/19.75 inference(quant_inst,[status(thm)],[])).
% 19.53/19.75 tff(2523,plain,
% 19.53/19.75 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))))),
% 19.53/19.75 inference(unit_resolution,[status(thm)],[2522, 52])).
% 19.53/19.75 tff(2524,plain,
% 19.53/19.75 (multiply(sk_c3, inverse(sk_c1)) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.53/19.75 inference(transitivity,[status(thm)],[491, 1417, 490, 2109, 472])).
% 19.58/19.75 tff(2525,plain,
% 19.58/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.58/19.75 inference(monotonicity,[status(thm)],[1305, 1587])).
% 19.58/19.75 tff(2526,plain,
% 19.58/19.75 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3)))),
% 19.58/19.75 inference(symmetry,[status(thm)],[2525])).
% 19.58/19.75 tff(2527,plain,
% 19.58/19.75 (sk_c3 = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3)))),
% 19.58/19.75 inference(transitivity,[status(thm)],[718, 1273, 468, 2526])).
% 19.58/19.75 tff(2528,plain,
% 19.58/19.75 (multiply(sk_c3, multiply(sk_c3, inverse(sk_c1))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))),
% 19.58/19.75 inference(monotonicity,[status(thm)],[2527, 2524])).
% 19.58/19.75 tff(2529,plain,
% 19.58/19.75 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(sk_c3, inverse(sk_c1))),
% 19.58/19.75 inference(transitivity,[status(thm)],[2107, 1021, 466, 1422, 455])).
% 19.58/19.75 tff(2530,plain,
% 19.58/19.75 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))) = multiply(sk_c3, multiply(sk_c3, inverse(sk_c1)))),
% 19.58/19.75 inference(monotonicity,[status(thm)],[1282, 2529])).
% 19.58/19.75 tff(2531,plain,
% 19.58/19.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))))),
% 19.58/19.75 inference(quant_inst,[status(thm)],[])).
% 19.58/19.75 tff(2532,plain,
% 19.58/19.75 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))))),
% 19.58/19.75 inference(unit_resolution,[status(thm)],[2531, 52])).
% 19.58/19.75 tff(2533,plain,
% 19.58/19.75 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.58/19.75 inference(monotonicity,[status(thm)],[2506])).
% 19.58/19.75 tff(2534,plain,
% 19.58/19.75 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))),
% 19.58/19.75 inference(transitivity,[status(thm)],[2533, 2532, 2530, 2528, 2523, 2521, 2519, 2517])).
% 19.58/19.75 tff(2535,plain,
% 19.58/19.75 (multiply(multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c1)),
% 19.58/19.75 inference(monotonicity,[status(thm)],[2534])).
% 19.58/19.75 tff(2536,plain,
% 19.58/19.75 (multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c1) = multiply(multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1)),
% 19.58/19.75 inference(symmetry,[status(thm)],[2535])).
% 19.58/19.75 tff(2537,plain,
% 19.58/19.75 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))),
% 19.58/19.75 inference(monotonicity,[status(thm)],[324, 2101])).
% 19.58/19.75 tff(2538,plain,
% 19.58/19.75 (multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))))),
% 19.58/19.75 inference(symmetry,[status(thm)],[2537])).
% 19.58/19.75 tff(2539,plain,
% 19.58/19.75 (multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c1) = multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1)),
% 19.58/19.75 inference(monotonicity,[status(thm)],[2538])).
% 19.58/19.75 tff(2540,plain,
% 19.58/19.75 (multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), sk_c1)),
% 19.58/19.75 inference(symmetry,[status(thm)],[2539])).
% 19.58/19.75 tff(2541,plain,
% 19.58/19.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(sk_c7, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)))),
% 19.58/19.75 inference(quant_inst,[status(thm)],[])).
% 19.58/19.75 tff(2542,plain,
% 19.58/19.75 (multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(sk_c7, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1))),
% 19.58/19.75 inference(unit_resolution,[status(thm)],[2541, 52])).
% 19.58/19.75 tff(2543,plain,
% 19.58/19.75 (multiply(sk_c7, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)) = multiply(multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1)),
% 19.58/19.75 inference(symmetry,[status(thm)],[2542])).
% 19.58/19.75 tff(2544,plain,
% 19.58/19.75 (multiply(sk_c7, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)) = multiply(inverse(sk_c8), sk_c3)),
% 19.58/19.75 inference(monotonicity,[status(thm)],[324, 2153])).
% 19.58/19.75 tff(2545,plain,
% 19.58/19.75 (multiply(inverse(sk_c8), sk_c3) = multiply(sk_c7, multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1))),
% 19.58/19.75 inference(symmetry,[status(thm)],[2544])).
% 19.58/19.75 tff(2546,plain,
% 19.58/19.75 (sk_c6 = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.58/19.75 inference(transitivity,[status(thm)],[2035, 2032, 2031, 2029, 1569, 1567, 2179, 2184, 1406, 2186, 1139, 2188, 2545, 2543, 2540, 2536, 2511, 2509])).
% 19.58/19.75 tff(2547,plain,
% 19.58/19.75 (multiply(sk_c6, sk_c6) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.58/19.75 inference(monotonicity,[status(thm)],[2546, 2507])).
% 19.58/19.75 tff(2548,plain,
% 19.58/19.75 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(sk_c6, sk_c6)),
% 19.58/19.75 inference(symmetry,[status(thm)],[2547])).
% 19.58/19.75 tff(2549,plain,
% 19.58/19.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))))),
% 19.58/19.75 inference(quant_inst,[status(thm)],[])).
% 19.58/19.75 tff(2550,plain,
% 19.58/19.75 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.58/19.75 inference(unit_resolution,[status(thm)],[2549, 52])).
% 19.58/19.75 tff(2551,plain,
% 19.58/19.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))))),
% 19.58/19.75 inference(quant_inst,[status(thm)],[])).
% 19.58/19.75 tff(2552,plain,
% 19.58/19.75 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.58/19.75 inference(unit_resolution,[status(thm)],[2551, 52])).
% 19.58/19.75 tff(2553,plain,
% 19.58/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.58/19.75 inference(symmetry,[status(thm)],[2552])).
% 19.58/19.75 tff(2554,plain,
% 19.58/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)),
% 19.58/19.75 inference(monotonicity,[status(thm)],[1284])).
% 19.58/19.75 tff(2555,plain,
% 19.58/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.58/19.75 inference(symmetry,[status(thm)],[2554])).
% 19.58/19.75 tff(2556,plain,
% 19.58/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.58/19.75 inference(transitivity,[status(thm)],[2555, 2553])).
% 19.58/19.75 tff(2557,plain,
% 19.58/19.75 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.58/19.75 inference(monotonicity,[status(thm)],[2556])).
% 19.58/19.75 tff(2558,plain,
% 19.58/19.75 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3)) = multiply(inverse(sk_c1), multiply(sk_c1, sk_c3))),
% 19.58/19.75 inference(monotonicity,[status(thm)],[2106])).
% 19.58/19.75 tff(2559,plain,
% 19.58/19.75 (multiply(inverse(sk_c1), multiply(sk_c1, sk_c3)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3))),
% 19.58/19.75 inference(symmetry,[status(thm)],[2558])).
% 19.58/19.75 tff(2560,plain,
% 19.58/19.75 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(inverse(sk_c1), sk_c1), sk_c3)),
% 19.58/19.75 inference(symmetry,[status(thm)],[1932])).
% 19.58/19.75 tff(2561,plain,
% 19.58/19.75 (sk_c3 = multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3))),
% 19.58/19.75 inference(transitivity,[status(thm)],[718, 1273, 2560, 1934, 2559])).
% 19.58/19.75 tff(2562,plain,
% 19.58/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3)))),
% 19.58/19.75 inference(monotonicity,[status(thm)],[2561])).
% 19.58/19.75 tff(2563,plain,
% 19.58/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)),
% 19.58/19.75 inference(symmetry,[status(thm)],[2562])).
% 19.58/19.75 tff(2564,plain,
% 19.58/19.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(sk_c1, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3))))),
% 19.58/19.75 inference(quant_inst,[status(thm)],[])).
% 19.58/19.75 tff(2565,plain,
% 19.58/19.75 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(sk_c1, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3)))),
% 19.58/19.75 inference(unit_resolution,[status(thm)],[2564, 52])).
% 19.58/19.75 tff(2566,plain,
% 19.58/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))),
% 19.58/19.75 inference(monotonicity,[status(thm)],[1587, 2106])).
% 19.58/19.75 tff(2567,plain,
% 19.58/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))),
% 19.58/19.75 inference(transitivity,[status(thm)],[2566, 475])).
% 19.58/19.75 tff(2568,plain,
% 19.58/19.75 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(sk_c1, sk_c3)) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, sk_c3))),
% 19.58/19.75 inference(monotonicity,[status(thm)],[2567])).
% 19.58/19.75 tff(2569,plain,
% 19.58/19.75 (multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, sk_c3)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(sk_c1, sk_c3))),
% 19.58/19.75 inference(symmetry,[status(thm)],[2568])).
% 19.58/19.75 tff(2570,plain,
% 19.58/19.75 (multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)) = multiply(sk_c1, sk_c3)),
% 19.58/19.75 inference(monotonicity,[status(thm)],[2247])).
% 19.59/19.75 tff(2571,plain,
% 19.59/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.59/19.75 inference(monotonicity,[status(thm)],[1305, 476])).
% 19.59/19.75 tff(2572,plain,
% 19.59/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(sk_c3, inverse(sk_c1))),
% 19.59/19.75 inference(transitivity,[status(thm)],[2571, 473, 1021, 466, 1422, 455])).
% 19.59/19.75 tff(2573,plain,
% 19.59/19.75 (multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))),
% 19.59/19.75 inference(monotonicity,[status(thm)],[324, 2572])).
% 19.59/19.75 tff(2574,plain,
% 19.59/19.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))))),
% 19.59/19.75 inference(quant_inst,[status(thm)],[])).
% 19.59/19.75 tff(2575,plain,
% 19.59/19.75 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.59/19.75 inference(unit_resolution,[status(thm)],[2574, 52])).
% 19.59/19.75 tff(2576,plain,
% 19.59/19.75 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))),
% 19.59/19.75 inference(monotonicity,[status(thm)],[1166])).
% 19.59/19.75 tff(2577,plain,
% 19.59/19.75 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))) = multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))),
% 19.59/19.75 inference(transitivity,[status(thm)],[2576, 2575, 2573])).
% 19.59/19.75 tff(2578,plain,
% 19.59/19.75 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, sk_c3))),
% 19.59/19.75 inference(monotonicity,[status(thm)],[2577, 2570])).
% 19.59/19.75 tff(2579,plain,
% 19.59/19.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))))),
% 19.59/19.75 inference(quant_inst,[status(thm)],[])).
% 19.59/19.75 tff(2580,plain,
% 19.59/19.75 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))))),
% 19.59/19.75 inference(unit_resolution,[status(thm)],[2579, 52])).
% 19.59/19.75 tff(2581,plain,
% 19.59/19.75 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))) = multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))),
% 19.59/19.75 inference(symmetry,[status(thm)],[2580])).
% 19.59/19.75 tff(2582,plain,
% 19.59/19.75 (multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, sk_c3))),
% 19.59/19.75 inference(monotonicity,[status(thm)],[2570])).
% 19.59/19.75 tff(2583,plain,
% 19.59/19.75 (multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, sk_c3)) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))),
% 19.59/19.75 inference(symmetry,[status(thm)],[2582])).
% 19.59/19.75 tff(2584,plain,
% 19.59/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), multiply(sk_c1, sk_c3))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), multiply(sk_c1, sk_c3))),
% 19.59/19.75 inference(symmetry,[status(thm)],[2565])).
% 19.59/19.75 tff(2585,plain,
% 19.59/19.75 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3) = multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)))),
% 19.59/19.75 inference(transitivity,[status(thm)],[2562, 2584, 2568, 2583])).
% 19.59/19.75 tff(2586,plain,
% 19.59/19.75 (multiply(sk_c6, sk_c2) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))),
% 19.59/19.75 inference(transitivity,[status(thm)],[1174, 1728, 1168])).
% 19.59/19.75 tff(2587,plain,
% 19.59/19.75 (multiply(multiply(sk_c6, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))), multiply(sk_c1, multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7))))),
% 19.59/19.75 inference(monotonicity,[status(thm)],[2586, 2585])).
% 19.59/19.75 tff(2588,plain,
% 19.59/19.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))))),
% 19.59/19.75 inference(quant_inst,[status(thm)],[])).
% 19.59/19.75 tff(2589,plain,
% 19.59/19.75 (multiply(multiply(sk_c6, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)) = multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)))),
% 19.59/19.75 inference(unit_resolution,[status(thm)],[2588, 52])).
% 19.59/19.75 tff(2590,plain,
% 19.59/19.75 (multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))) = multiply(multiply(sk_c6, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))),
% 19.59/19.75 inference(symmetry,[status(thm)],[2589])).
% 19.59/19.75 tff(2591,plain,
% 19.59/19.75 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c3))), sk_c3)),
% 19.59/19.75 inference(symmetry,[status(thm)],[2298])).
% 19.59/19.75 tff(2592,plain,
% 19.59/19.75 (sk_c3 = multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3))),
% 19.59/19.75 inference(transitivity,[status(thm)],[718, 1273, 2591, 1592])).
% 19.59/19.75 tff(2593,plain,
% 19.59/19.75 (multiply(sk_c6, sk_c3) = multiply(sk_c6, multiply(sk_c2, multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)))),
% 19.59/19.75 inference(monotonicity,[status(thm)],[2592])).
% 19.59/19.75 tff(2594,plain,
% 19.59/19.75 (multiply(sk_c6, sk_c3) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3)),
% 19.59/19.75 inference(transitivity,[status(thm)],[2593, 2590, 2587, 2581, 2578, 2569, 2565, 2563])).
% 19.59/19.75 tff(2595,plain,
% 19.59/19.75 (multiply(multiply(sk_c6, sk_c3), sk_c3) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.75 inference(monotonicity,[status(thm)],[2594, 1286])).
% 19.59/19.75 tff(2596,plain,
% 19.59/19.75 (multiply(multiply(sk_c6, sk_c3), sk_c3) = multiply(sk_c6, sk_c6)),
% 19.59/19.75 inference(transitivity,[status(thm)],[2595, 2557, 2550, 2548])).
% 19.59/19.75 tff(2597,plain,
% 19.59/19.75 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.75 inference(monotonicity,[status(thm)],[2596])).
% 19.59/19.75 tff(2598,plain,
% 19.59/19.75 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c6, sk_c3), sk_c3)),
% 19.59/19.75 inference(symmetry,[status(thm)],[2595])).
% 19.59/19.75 tff(2599,plain,
% 19.59/19.75 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2598, 2293])).
% 19.59/19.76 tff(2600,plain,
% 19.59/19.76 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))) = sk_c7),
% 19.59/19.76 inference(transitivity,[status(thm)],[2599, 2597, 2504, 2503, 2500, 2497, 2495, 2480, 2478, 2475, 2322, 1473, 1649, 1477, 2315, 2348, 1135, 2345, 701, 2341, 626, 623, 1435, 967, 2124, 1186, 2089, 2088, 310])).
% 19.59/19.76 tff(2601,plain,
% 19.59/19.76 (multiply(multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2600, 2471])).
% 19.59/19.76 tff(2602,plain,
% 19.59/19.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))))),
% 19.59/19.76 inference(quant_inst,[status(thm)],[])).
% 19.59/19.76 tff(2603,plain,
% 19.59/19.76 (multiply(multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))))),
% 19.59/19.76 inference(unit_resolution,[status(thm)],[2602, 52])).
% 19.59/19.76 tff(2604,plain,
% 19.59/19.76 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))) = multiply(multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2603])).
% 19.59/19.76 tff(2605,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2280])).
% 19.59/19.76 tff(2606,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c2) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.59/19.76 inference(symmetry,[status(thm)],[2263])).
% 19.59/19.76 tff(2607,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), sk_c2)),
% 19.59/19.76 inference(symmetry,[status(thm)],[2246])).
% 19.59/19.76 tff(2608,plain,
% 19.59/19.76 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c2, sk_c7))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2221])).
% 19.59/19.76 tff(2609,plain,
% 19.59/19.76 (multiply(sk_c2, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))),
% 19.59/19.76 inference(transitivity,[status(thm)],[2218, 2608, 2222, 2230, 2233, 2243, 2607, 2250, 2606, 2605])).
% 19.59/19.76 tff(2610,plain,
% 19.59/19.76 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2474])).
% 19.59/19.76 tff(2611,plain,
% 19.59/19.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))))),
% 19.59/19.76 inference(quant_inst,[status(thm)],[])).
% 19.59/19.76 tff(2612,plain,
% 19.59/19.76 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.59/19.76 inference(unit_resolution,[status(thm)],[2611, 52])).
% 19.59/19.76 tff(2613,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2612])).
% 19.59/19.76 tff(2614,plain,
% 19.59/19.76 (multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(inverse(sk_c8), sk_c3)),
% 19.59/19.76 inference(monotonicity,[status(thm)],[324, 1282])).
% 19.59/19.76 tff(2615,plain,
% 19.59/19.76 (multiply(inverse(sk_c8), sk_c3) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2614])).
% 19.59/19.76 tff(2616,plain,
% 19.59/19.76 (multiply(sk_c8, multiply(sk_c6, sk_c3)) = multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.76 inference(transitivity,[status(thm)],[1147, 1144, 2615])).
% 19.59/19.76 tff(2617,plain,
% 19.59/19.76 (multiply(sk_c6, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.59/19.76 inference(transitivity,[status(thm)],[2496, 2493, 2484, 2481])).
% 19.59/19.76 tff(2618,plain,
% 19.59/19.76 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2617, 2616])).
% 19.59/19.76 tff(2619,plain,
% 19.59/19.76 (multiply(sk_c3, sk_c3) = multiply(sk_c8, multiply(sk_c6, sk_c3))),
% 19.59/19.76 inference(transitivity,[status(thm)],[2132, 1213, 1438, 1150, 1146])).
% 19.59/19.76 tff(2620,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c6, sk_c6), sk_c2), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2499, 2619])).
% 19.59/19.76 tff(2621,plain,
% 19.59/19.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c6), sk_c2), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, multiply(sk_c3, sk_c3))))),
% 19.59/19.76 inference(quant_inst,[status(thm)],[])).
% 19.59/19.76 tff(2622,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c6, sk_c6), sk_c2), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, multiply(sk_c3, sk_c3)))),
% 19.59/19.76 inference(unit_resolution,[status(thm)],[2621, 52])).
% 19.59/19.76 tff(2623,plain,
% 19.59/19.76 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, multiply(sk_c3, sk_c3))) = multiply(multiply(multiply(sk_c6, sk_c6), sk_c2), multiply(sk_c3, sk_c3))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2622])).
% 19.59/19.76 tff(2624,plain,
% 19.59/19.76 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(sk_c2, multiply(sk_c3, sk_c3))),
% 19.59/19.76 inference(transitivity,[status(thm)],[1262, 166, 436, 897, 1316, 915, 1315, 1225])).
% 19.59/19.76 tff(2625,plain,
% 19.59/19.76 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, multiply(sk_c3, sk_c3)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2624])).
% 19.59/19.76 tff(2626,plain,
% 19.59/19.76 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.76 inference(transitivity,[status(thm)],[2625, 2623, 2620, 2618, 2613, 2610])).
% 19.59/19.76 tff(2627,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2626, 2609])).
% 19.59/19.76 tff(2628,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.76 inference(symmetry,[status(thm)],[1861])).
% 19.59/19.76 tff(2629,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.76 inference(symmetry,[status(thm)],[1859])).
% 19.59/19.76 tff(2630,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, sk_c2), sk_c3) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2238])).
% 19.59/19.76 tff(2631,plain,
% 19.59/19.76 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.76 inference(transitivity,[status(thm)],[279, 2630, 2629, 2628])).
% 19.59/19.76 tff(2632,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c2) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2631])).
% 19.59/19.76 tff(2633,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c2)),
% 19.59/19.76 inference(symmetry,[status(thm)],[2632])).
% 19.59/19.76 tff(2634,plain,
% 19.59/19.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)))),
% 19.59/19.76 inference(quant_inst,[status(thm)],[])).
% 19.59/19.76 tff(2635,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.59/19.76 inference(unit_resolution,[status(thm)],[2634, 52])).
% 19.59/19.76 tff(2636,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c2)),
% 19.59/19.76 inference(symmetry,[status(thm)],[2635])).
% 19.59/19.76 tff(2637,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), sk_c2)),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1267])).
% 19.59/19.76 tff(2638,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2637])).
% 19.59/19.76 tff(2639,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), sk_c2) = multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), sk_c2)),
% 19.59/19.76 inference(monotonicity,[status(thm)],[1860])).
% 19.59/19.76 tff(2640,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)), sk_c2)),
% 19.59/19.76 inference(symmetry,[status(thm)],[2639])).
% 19.59/19.76 tff(2641,plain,
% 19.59/19.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), sk_c2) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, sk_c2)))),
% 19.59/19.76 inference(quant_inst,[status(thm)],[])).
% 19.59/19.76 tff(2642,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), sk_c2) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, sk_c2))),
% 19.59/19.76 inference(unit_resolution,[status(thm)],[2641, 52])).
% 19.59/19.76 tff(2643,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c2), sk_c7), sk_c2)),
% 19.59/19.76 inference(symmetry,[status(thm)],[2642])).
% 19.59/19.76 tff(2644,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2173])).
% 19.59/19.76 tff(2645,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, sk_c2))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2644])).
% 19.59/19.76 tff(2646,plain,
% 19.59/19.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.59/19.76 inference(quant_inst,[status(thm)],[])).
% 19.59/19.76 tff(2647,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.59/19.76 inference(unit_resolution,[status(thm)],[2646, 52])).
% 19.59/19.76 tff(2648,plain,
% 19.59/19.76 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2647])).
% 19.59/19.76 tff(2649,plain,
% 19.59/19.76 (multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(sk_c2, multiply(sk_c2, sk_c8))),
% 19.59/19.76 inference(transitivity,[status(thm)],[2648, 2645, 2643, 2640, 2638, 2636, 2633, 2251, 2246, 2244, 2234, 2231, 2223, 2221, 2219])).
% 19.59/19.76 tff(2650,plain,
% 19.59/19.76 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c2, multiply(sk_c3, sk_c3))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2625])).
% 19.59/19.76 tff(2651,plain,
% 19.59/19.76 (multiply(multiply(sk_c6, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3))) = multiply(multiply(multiply(sk_c6, sk_c6), sk_c2), multiply(sk_c3, sk_c3))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2620])).
% 19.59/19.76 tff(2652,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c7, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(sk_c6, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2618])).
% 19.59/19.76 tff(2653,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c7), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2610])).
% 19.59/19.76 tff(2654,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.76 inference(transitivity,[status(thm)],[2653, 2612, 2652, 2651, 2622, 2650])).
% 19.59/19.76 tff(2655,plain,
% 19.59/19.76 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(multiply(sk_c6, sk_c6), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2654, 2649])).
% 19.59/19.76 tff(2656,plain,
% 19.59/19.76 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(sk_c3, sk_c2)),
% 19.59/19.76 inference(transitivity,[status(thm)],[2655, 2627, 2604, 2601, 2470, 2467, 2121, 925, 2120, 931, 2119, 2169, 1060, 2168, 1052, 2167, 2166, 980, 944, 1304, 2165, 1573, 2164])).
% 19.59/19.76 tff(2657,plain,
% 19.59/19.76 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(sk_c3, sk_c2))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2656])).
% 19.59/19.76 tff(2658,plain,
% 19.59/19.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))))))),
% 19.59/19.76 inference(quant_inst,[status(thm)],[])).
% 19.59/19.76 tff(2659,plain,
% 19.59/19.76 (multiply(multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))))),
% 19.59/19.76 inference(unit_resolution,[status(thm)],[2658, 52])).
% 19.59/19.76 tff(2660,plain,
% 19.59/19.76 (multiply(sk_c2, multiply(sk_c2, sk_c8)) = multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.59/19.76 inference(transitivity,[status(thm)],[2218, 2608, 2222, 2230, 2233, 2243, 2607, 2250, 2632, 2635, 2637, 2639, 2642, 2644, 2647])).
% 19.59/19.76 tff(2661,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c6, sk_c6)),
% 19.59/19.76 inference(transitivity,[status(thm)],[2557, 2550, 2548])).
% 19.59/19.76 tff(2662,plain,
% 19.59/19.76 (multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(sk_c6, sk_c6))),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2465, 2661])).
% 19.59/19.76 tff(2663,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2662])).
% 19.59/19.76 tff(2664,plain,
% 19.59/19.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), multiply(sk_c6, sk_c6))))),
% 19.59/19.76 inference(quant_inst,[status(thm)],[])).
% 19.59/19.76 tff(2665,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(sk_c6, sk_c6)) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), multiply(sk_c6, sk_c6)))),
% 19.59/19.76 inference(unit_resolution,[status(thm)],[2664, 52])).
% 19.59/19.76 tff(2666,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), multiply(sk_c6, sk_c6))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(sk_c6, sk_c6))),
% 19.59/19.76 inference(symmetry,[status(thm)],[2665])).
% 19.59/19.76 tff(2667,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), sk_c6) = multiply(sk_c2, sk_c8)),
% 19.59/19.76 inference(transitivity,[status(thm)],[2456, 1556])).
% 19.59/19.76 tff(2668,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), sk_c6), sk_c6) = multiply(multiply(sk_c2, sk_c8), sk_c6)),
% 19.59/19.76 inference(monotonicity,[status(thm)],[2667])).
% 19.59/19.76 tff(2669,plain,
% 19.59/19.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), sk_c6), sk_c6) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), multiply(sk_c6, sk_c6)))),
% 19.59/19.76 inference(quant_inst,[status(thm)],[])).
% 19.59/19.76 tff(2670,plain,
% 19.59/19.76 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), sk_c6), sk_c6) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), multiply(sk_c6, sk_c6))),
% 19.59/19.76 inference(unit_resolution,[status(thm)],[2669, 52])).
% 19.59/19.76 tff(2671,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), multiply(sk_c6, sk_c6)) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), sk_c6), sk_c6)),
% 19.59/19.76 inference(symmetry,[status(thm)],[2670])).
% 19.59/19.76 tff(2672,plain,
% 19.59/19.76 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), multiply(sk_c6, sk_c6)) = multiply(sk_c2, sk_c7)),
% 19.59/19.76 inference(transitivity,[status(thm)],[2671, 2668, 1554, 1552])).
% 19.59/19.77 tff(2673,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), multiply(sk_c6, sk_c6))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2672])).
% 19.59/19.77 tff(2674,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(sk_c2, sk_c8)), multiply(sk_c6, sk_c6)))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2673])).
% 19.59/19.77 tff(2675,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.59/19.77 inference(transitivity,[status(thm)],[2645, 2643, 2640, 2638, 2636, 2633, 2251, 2246, 2244, 2234, 2231, 2223, 2674, 2666, 2663])).
% 19.59/19.77 tff(2676,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8))), multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2675, 2660])).
% 19.59/19.77 tff(2677,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2648, 2649])).
% 19.59/19.77 tff(2678,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = inverse(sk_c5)),
% 19.59/19.77 inference(transitivity,[status(thm)],[2677, 2676, 2659, 2657, 2466, 2459, 2457, 2454, 2453, 2446, 2444, 2441, 2383, 2381, 2368, 2367, 2212, 2209, 2202, 2199, 2196, 2195, 2191, 2177, 1551, 2176, 2172, 2171, 1533, 2162, 1516, 2154, 1275, 986, 1268, 1260, 943, 981, 1319, 1318, 963, 1308, 940, 1300, 1298, 932, 1297, 926, 1294, 1280, 882, 880, 2152])).
% 19.59/19.77 tff(2679,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2678])).
% 19.59/19.77 tff(2680,plain,
% 19.59/19.77 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2))))), sk_c5)),
% 19.59/19.77 inference(symmetry,[status(thm)],[2679])).
% 19.59/19.77 tff(2681,plain,
% 19.59/19.77 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5))),
% 19.59/19.77 inference(transitivity,[status(thm)],[933, 1262, 166, 346, 2680, 2143])).
% 19.59/19.77 tff(2682,plain,
% 19.59/19.77 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c3, sk_c3)) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5)), multiply(sk_c3, sk_c3))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2681])).
% 19.59/19.77 tff(2683,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5)), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c3, sk_c3))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2682])).
% 19.59/19.77 tff(2684,plain,
% 19.59/19.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5)), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5), multiply(sk_c3, sk_c3))))),
% 19.59/19.77 inference(quant_inst,[status(thm)],[])).
% 19.59/19.77 tff(2685,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5)), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5), multiply(sk_c3, sk_c3)))),
% 19.59/19.77 inference(unit_resolution,[status(thm)],[2684, 52])).
% 19.59/19.77 tff(2686,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5), multiply(sk_c3, sk_c3))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5)), multiply(sk_c3, sk_c3))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2685])).
% 19.59/19.77 tff(2687,plain,
% 19.59/19.77 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(identity, multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2487])).
% 19.59/19.77 tff(2688,plain,
% 19.59/19.77 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2265, 1165])).
% 19.59/19.77 tff(2689,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2688])).
% 19.59/19.77 tff(2690,plain,
% 19.59/19.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))))),
% 19.59/19.77 inference(quant_inst,[status(thm)],[])).
% 19.59/19.77 tff(2691,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))))),
% 19.59/19.77 inference(unit_resolution,[status(thm)],[2690, 52])).
% 19.59/19.77 tff(2692,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2691])).
% 19.59/19.77 tff(2693,plain,
% 19.59/19.77 (multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1166])).
% 19.59/19.77 tff(2694,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2693])).
% 19.59/19.77 tff(2695,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2694])).
% 19.59/19.77 tff(2696,plain,
% 19.59/19.77 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.59/19.77 inference(transitivity,[status(thm)],[1643, 1642, 2331, 2328, 1631, 1639])).
% 19.59/19.77 tff(2697,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2696])).
% 19.59/19.77 tff(2698,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2697])).
% 19.59/19.77 tff(2699,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.59/19.77 inference(transitivity,[status(thm)],[1636, 1632, 2327, 2330, 1617, 1615, 1164, 2332, 1159, 2336, 2348, 1135, 2345, 701, 2341, 626])).
% 19.59/19.77 tff(2700,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2699])).
% 19.59/19.77 tff(2701,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2700])).
% 19.59/19.77 tff(2702,plain,
% 19.59/19.77 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)),
% 19.59/19.77 inference(transitivity,[status(thm)],[625, 1013, 1010, 2097])).
% 19.59/19.77 tff(2703,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2702])).
% 19.59/19.77 tff(2704,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2703])).
% 19.59/19.77 tff(2705,plain,
% 19.59/19.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)))),
% 19.59/19.77 inference(quant_inst,[status(thm)],[])).
% 19.59/19.77 tff(2706,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1))),
% 19.59/19.77 inference(unit_resolution,[status(thm)],[2705, 52])).
% 19.59/19.77 tff(2707,plain,
% 19.59/19.77 (multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7)),
% 19.59/19.77 inference(transitivity,[status(thm)],[684, 896, 218, 167, 1263, 458, 2264])).
% 19.59/19.77 tff(2708,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), inverse(sk_c1))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2707])).
% 19.59/19.77 tff(2709,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), inverse(sk_c1)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2708])).
% 19.59/19.77 tff(2710,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, inverse(sk_c1)))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2095])).
% 19.59/19.77 tff(2711,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = inverse(sk_c1)),
% 19.59/19.77 inference(transitivity,[status(thm)],[2710, 1362, 2709, 2105, 999])).
% 19.59/19.77 tff(2712,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2711])).
% 19.59/19.77 tff(2713,plain,
% 19.59/19.77 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1)),
% 19.59/19.77 inference(symmetry,[status(thm)],[2712])).
% 19.59/19.77 tff(2714,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3)) = multiply(multiply(multiply(sk_c2, sk_c7), sk_c3), sk_c3)),
% 19.59/19.77 inference(symmetry,[status(thm)],[2003])).
% 19.59/19.77 tff(2715,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3)) = sk_c3),
% 19.59/19.77 inference(transitivity,[status(thm)],[2714, 2135, 1281, 61])).
% 19.59/19.77 tff(2716,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3))) = multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3)),
% 19.59/19.77 inference(monotonicity,[status(thm)],[459, 2715])).
% 19.59/19.77 tff(2717,plain,
% 19.59/19.77 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(sk_c3, sk_c3)),
% 19.59/19.77 inference(transitivity,[status(thm)],[981, 1319, 1318, 963, 1308, 940, 1300, 1298, 932, 1297, 926, 1294, 1280, 882, 880, 2193, 2192, 1332, 1335, 2130])).
% 19.59/19.77 tff(2718,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)) = multiply(sk_c3, sk_c3)),
% 19.59/19.77 inference(transitivity,[status(thm)],[1136, 1139, 2188, 1446, 1214, 2133])).
% 19.59/19.77 tff(2719,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c3, sk_c3))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2718])).
% 19.59/19.77 tff(2720,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2)))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[1132])).
% 19.59/19.77 tff(2721,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2720])).
% 19.59/19.77 tff(2722,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2721, 2122])).
% 19.59/19.77 tff(2723,plain,
% 19.59/19.77 (multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2) = sk_c3),
% 19.59/19.77 inference(transitivity,[status(thm)],[701, 2341, 626, 623, 1281, 61])).
% 19.59/19.77 tff(2724,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2723])).
% 19.59/19.77 tff(2725,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c2), sk_c3) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2724])).
% 19.59/19.77 tff(2726,plain,
% 19.59/19.77 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), sk_c2)),
% 19.59/19.77 inference(transitivity,[status(thm)],[279, 2725, 1900])).
% 19.59/19.77 tff(2727,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7)),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2726])).
% 19.59/19.77 tff(2728,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7))),
% 19.59/19.77 inference(transitivity,[status(thm)],[2727, 1897, 2722, 1892, 2719, 1889, 1887, 2275, 1243, 1242])).
% 19.59/19.77 tff(2729,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)), multiply(sk_c3, sk_c3))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2728, 2717])).
% 19.59/19.77 tff(2730,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.77 inference(symmetry,[status(thm)],[1885])).
% 19.59/19.77 tff(2731,plain,
% 19.59/19.77 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3))) = sk_c3),
% 19.59/19.77 inference(transitivity,[status(thm)],[2525, 623, 1281, 61])).
% 19.59/19.77 tff(2732,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3)))) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2731])).
% 19.59/19.77 tff(2733,plain,
% 19.59/19.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c8, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3)))))),
% 19.59/19.77 inference(quant_inst,[status(thm)],[])).
% 19.59/19.77 tff(2734,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c8, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c3))))),
% 19.59/19.77 inference(unit_resolution,[status(thm)],[2733, 52])).
% 19.59/19.77 tff(2735,plain,
% 19.59/19.77 (((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 19.59/19.77 inference(rewrite,[status(thm)],[])).
% 19.59/19.77 tff(2736,axiom,((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 19.59/19.77 tff(2737,plain,
% 19.59/19.77 ((multiply(sk_c1, sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 19.59/19.77 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 19.59/19.77 tff(2738,plain,
% 19.59/19.77 (multiply(sk_c5, sk_c8) = sk_c6),
% 19.59/19.77 inference(unit_resolution,[status(thm)],[2737, 1253])).
% 19.59/19.77 tff(2739,plain,
% 19.59/19.77 (multiply(sk_c3, sk_c3) = sk_c8),
% 19.59/19.77 inference(transitivity,[status(thm)],[2131, 1336, 1333, 1259, 1257])).
% 19.59/19.77 tff(2740,plain,
% 19.59/19.77 (multiply(sk_c5, multiply(sk_c3, sk_c3)) = multiply(sk_c5, sk_c8)),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2739])).
% 19.59/19.77 tff(2741,plain,
% 19.59/19.77 (multiply(sk_c5, multiply(sk_c3, sk_c3)) = multiply(sk_c8, multiply(sk_c6, sk_c3))),
% 19.59/19.77 inference(transitivity,[status(thm)],[2740, 2738, 2035, 2032, 2031, 2029, 1569, 1567, 2179, 2184, 1406, 2186, 1139, 2188, 1150, 1146])).
% 19.59/19.77 tff(2742,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c5, multiply(sk_c3, sk_c3))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c8, multiply(sk_c6, sk_c3)))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2648, 2741])).
% 19.59/19.77 tff(2743,plain,
% 19.59/19.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c5, multiply(sk_c3, sk_c3))))),
% 19.59/19.77 inference(quant_inst,[status(thm)],[])).
% 19.59/19.77 tff(2744,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5), multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c5, multiply(sk_c3, sk_c3)))),
% 19.59/19.77 inference(unit_resolution,[status(thm)],[2743, 52])).
% 19.59/19.77 tff(2745,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5), multiply(sk_c3, sk_c3)) = multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))),
% 19.59/19.77 inference(transitivity,[status(thm)],[2744, 2742, 2734, 2732, 1835, 2439, 2260, 2438, 1844, 2437, 1855, 2434, 2431, 2429, 1880, 2427, 2730, 2729, 2012, 2716, 896, 218, 99, 2713, 2706, 2704, 2701, 2698, 2695, 2692, 2689, 2687, 2489])).
% 19.59/19.77 tff(2746,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5), multiply(sk_c3, sk_c3))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2648, 2745])).
% 19.59/19.77 tff(2747,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(multiply(multiply(sk_c2, multiply(sk_c2, multiply(sk_c8, multiply(sk_c6, sk_c2)))), sk_c5), multiply(sk_c3, sk_c3)))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2746])).
% 19.59/19.77 tff(2748,plain,
% 19.59/19.77 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))) = multiply(sk_c6, sk_c2)),
% 19.59/19.77 inference(transitivity,[status(thm)],[1634, 2405, 1173])).
% 19.59/19.77 tff(2749,plain,
% 19.59/19.77 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7))),
% 19.59/19.77 inference(transitivity,[status(thm)],[2645, 2643, 2640, 2638, 2636, 2633, 2251, 2246, 2244, 2234, 2231, 2223])).
% 19.59/19.77 tff(2750,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2))),
% 19.59/19.77 inference(monotonicity,[status(thm)],[2749, 2748])).
% 19.59/19.77 tff(2751,plain,
% 19.59/19.77 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.59/19.77 inference(symmetry,[status(thm)],[2750])).
% 19.59/19.77 tff(2752,plain,
% 19.59/19.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(2753,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[2752, 52])).
% 19.59/19.78 tff(2754,plain,
% 19.59/19.78 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2753])).
% 19.59/19.78 tff(2755,plain,
% 19.59/19.78 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1111])).
% 19.59/19.78 tff(2756,plain,
% 19.59/19.78 (multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2755])).
% 19.59/19.78 tff(2757,plain,
% 19.59/19.78 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2294, 2377, 2376, 1601, 2375, 2374, 2373, 2372, 2371, 2370])).
% 19.59/19.78 tff(2758,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c3, sk_c2)) = multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2757, 1276])).
% 19.59/19.78 tff(2759,plain,
% 19.59/19.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(2760,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2)))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[2759, 52])).
% 19.59/19.78 tff(2761,plain,
% 19.59/19.78 (multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2))) = multiply(multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c3, sk_c2))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2760])).
% 19.59/19.78 tff(2762,plain,
% 19.59/19.78 (multiply(sk_c2, sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2228, 1682, 2451, 2449])).
% 19.59/19.78 tff(2763,plain,
% 19.59/19.78 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c2)) = multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2762])).
% 19.59/19.78 tff(2764,plain,
% 19.59/19.78 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1414])).
% 19.59/19.78 tff(2765,plain,
% 19.59/19.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(2766,plain,
% 19.59/19.78 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[2765, 52])).
% 19.59/19.78 tff(2767,plain,
% 19.59/19.78 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2766])).
% 19.59/19.78 tff(2768,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c3, multiply(sk_c2, sk_c8))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1282, 1556])).
% 19.59/19.78 tff(2769,plain,
% 19.59/19.78 (multiply(sk_c3, multiply(sk_c2, sk_c8)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2768])).
% 19.59/19.78 tff(2770,plain,
% 19.59/19.78 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c3, multiply(sk_c2, sk_c8))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1287, 1556])).
% 19.59/19.78 tff(2771,plain,
% 19.59/19.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(2772,plain,
% 19.59/19.78 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[2771, 52])).
% 19.59/19.78 tff(2773,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2772])).
% 19.59/19.78 tff(2774,plain,
% 19.59/19.78 (multiply(sk_c2, sk_c8) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(transitivity,[status(thm)],[1557, 1831, 1828])).
% 19.59/19.78 tff(2775,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(sk_c2, sk_c8)) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2774])).
% 19.59/19.78 tff(2776,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(sk_c2, sk_c8)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2775, 2773, 2770, 2769])).
% 19.59/19.78 tff(2777,plain,
% 19.59/19.78 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c8))) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2776])).
% 19.59/19.78 tff(2778,plain,
% 19.59/19.78 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c8))) = multiply(sk_c2, sk_c2)),
% 19.59/19.78 inference(transitivity,[status(thm)],[2777, 2767, 2764, 2376, 1601, 2375, 2374, 2373, 2372, 2371, 2370, 1681, 2369])).
% 19.59/19.78 tff(2779,plain,
% 19.59/19.78 (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c3, sk_c2)),
% 19.59/19.78 inference(transitivity,[status(thm)],[1569, 1567, 2179, 2184, 1406, 2186, 1139, 2188, 1446, 1214, 2133, 2131, 1336, 1333, 1259, 1257, 883, 1048, 1295, 2121, 925, 2120, 931, 2119, 2169, 1060, 2168, 1052, 2167, 2166, 980, 944, 1304, 2165, 1573, 2164])).
% 19.59/19.78 tff(2780,plain,
% 19.59/19.78 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c8)))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c2))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2779, 2778])).
% 19.59/19.78 tff(2781,plain,
% 19.59/19.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c7, multiply(sk_c2, sk_c8))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c8)))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(2782,plain,
% 19.59/19.78 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c7, multiply(sk_c2, sk_c8))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c8))))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[2781, 52])).
% 19.59/19.78 tff(2783,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c7, multiply(sk_c2, sk_c8))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1556])).
% 19.59/19.78 tff(2784,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(sk_c7, sk_c2))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2174])).
% 19.59/19.78 tff(2785,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(inverse(sk_c8), sk_c7), sk_c2)),
% 19.59/19.78 inference(transitivity,[status(thm)],[2784, 1543, 1540])).
% 19.59/19.78 tff(2786,plain,
% 19.59/19.78 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c7, multiply(sk_c2, sk_c8)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2785, 2783])).
% 19.59/19.78 tff(2787,plain,
% 19.59/19.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(2788,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[2787, 52])).
% 19.59/19.78 tff(2789,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)),
% 19.59/19.78 inference(symmetry,[status(thm)],[1524])).
% 19.59/19.78 tff(2790,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2157])).
% 19.59/19.78 tff(2791,plain,
% 19.59/19.78 (sk_c3 = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7)),
% 19.59/19.78 inference(transitivity,[status(thm)],[718, 1273, 468, 625, 2790, 2789])).
% 19.59/19.78 tff(2792,plain,
% 19.59/19.78 (multiply(sk_c3, multiply(sk_c2, sk_c8)) = multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2791, 1557])).
% 19.59/19.78 tff(2793,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, sk_c7))) = multiply(sk_c3, multiply(sk_c2, sk_c8))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[1282, 1558])).
% 19.59/19.78 tff(2794,plain,
% 19.59/19.78 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, sk_c7))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2027])).
% 19.59/19.78 tff(2795,plain,
% 19.59/19.78 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(sk_c2, sk_c7)),
% 19.59/19.78 inference(transitivity,[status(thm)],[981, 1319, 1318, 963, 1308, 940, 1300, 1298, 932, 1297, 926, 1294, 1280, 882])).
% 19.59/19.78 tff(2796,plain,
% 19.59/19.78 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(sk_c3, sk_c2)),
% 19.59/19.78 inference(transitivity,[status(thm)],[944, 1304, 2165, 1573, 2164])).
% 19.59/19.78 tff(2797,plain,
% 19.59/19.78 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c7))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2796, 2795])).
% 19.59/19.78 tff(2798,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2505, 2131, 1336, 1333, 1259, 1257, 883, 1048, 1295, 2121, 925, 2120, 931, 2119, 2169, 1060, 2168, 1052, 2167, 2166, 980])).
% 19.59/19.78 tff(2799,plain,
% 19.59/19.78 (multiply(multiply(sk_c3, sk_c3), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)) = multiply(multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1)),
% 19.59/19.78 inference(symmetry,[status(thm)],[2511])).
% 19.59/19.78 tff(2800,plain,
% 19.59/19.78 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2508, 2799, 2535, 2539, 2542, 2544, 1446, 1214, 2133, 2131, 1336, 1333, 1259, 1257, 883, 1048, 1295, 2121, 925, 2120, 931, 2119, 2169, 1060, 2168, 1052, 2167, 2166, 980])).
% 19.59/19.78 tff(2801,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2800, 2798])).
% 19.59/19.78 tff(2802,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.78 inference(transitivity,[status(thm)],[1944, 1275, 986, 1268, 1260, 943, 981, 1319, 1318, 963, 1308, 940, 1300, 1298, 932, 1297, 926, 1294, 1280, 882, 880, 2193, 2192, 1332, 1335, 2130, 2506])).
% 19.59/19.78 tff(2803,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2802])).
% 19.59/19.78 tff(2804,plain,
% 19.59/19.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(2805,plain,
% 19.59/19.78 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[2804, 52])).
% 19.59/19.78 tff(2806,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2)),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2556])).
% 19.59/19.78 tff(2807,plain,
% 19.59/19.78 (sk_c7 = sk_c8),
% 19.59/19.78 inference(transitivity,[status(thm)],[311, 1499, 1498, 1185, 2123, 968, 1311, 468, 625, 2182, 717, 2344, 1489, 2347, 2314, 1478, 1475, 1474, 2321, 2806, 2805, 2803, 2801, 2797, 2794, 1943, 2793, 2792, 2788, 2786, 2782, 2780, 2763, 2761, 2758, 2243, 2607, 2250, 2632, 2635, 2637, 2639, 2642, 2644, 2756, 2754, 2751, 2747, 2686, 2683, 2141, 2139, 1446, 1214, 2133, 2131, 1336, 1333, 1259, 1257])).
% 19.59/19.78 tff(2808,plain,
% 19.59/19.78 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))) = multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2422])).
% 19.59/19.78 tff(2809,plain,
% 19.59/19.78 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(sk_c3, inverse(sk_c3))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2392, 2395, 2398, 2401, 2419, 2808, 2423, 2730, 2729, 2012, 2716, 896, 218, 167, 1263, 1330, 1327, 1324, 1999])).
% 19.59/19.78 tff(2810,plain,
% 19.59/19.78 ((multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7) <=> (multiply(sk_c3, inverse(sk_c3)) = sk_c8)),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2809, 2807])).
% 19.59/19.78 tff(2811,plain,
% 19.59/19.78 ((multiply(sk_c3, inverse(sk_c3)) = sk_c8) <=> (multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)),
% 19.59/19.78 inference(symmetry,[status(thm)],[2810])).
% 19.59/19.78 tff(2812,plain,
% 19.59/19.78 ((~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)) <=> (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2811])).
% 19.59/19.78 tff(2813,plain,
% 19.59/19.78 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2155, 457])).
% 19.59/19.78 tff(2814,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2813])).
% 19.59/19.78 tff(2815,plain,
% 19.59/19.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(2816,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[2815, 52])).
% 19.59/19.78 tff(2817,plain,
% 19.59/19.78 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2816])).
% 19.59/19.78 tff(2818,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(sk_c2, sk_c8)) = multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2783])).
% 19.59/19.78 tff(2819,plain,
% 19.59/19.78 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c2, sk_c8))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2818])).
% 19.59/19.78 tff(2820,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(sk_c7, multiply(sk_c2, sk_c8))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2775])).
% 19.59/19.78 tff(2821,plain,
% 19.59/19.78 (multiply(sk_c3, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2770])).
% 19.59/19.78 tff(2822,plain,
% 19.59/19.78 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c3, multiply(sk_c2, sk_c8))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2349, 1556])).
% 19.59/19.78 tff(2823,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.59/19.78 inference(transitivity,[status(thm)],[1730, 1643, 1642, 2331, 2328, 1631, 1639])).
% 19.59/19.78 tff(2824,plain,
% 19.59/19.78 (multiply(multiply(sk_c7, multiply(sk_c6, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2823])).
% 19.59/19.78 tff(2825,plain,
% 19.59/19.78 (multiply(multiply(sk_c7, multiply(sk_c6, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c7, multiply(sk_c2, sk_c8))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2824, 2822, 2821, 2772, 2820])).
% 19.59/19.78 tff(2826,plain,
% 19.59/19.78 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c6, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c2, sk_c8)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2825])).
% 19.59/19.78 tff(2827,plain,
% 19.59/19.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c6, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(2828,plain,
% 19.59/19.78 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, multiply(sk_c6, sk_c2)), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[2827, 52])).
% 19.59/19.78 tff(2829,plain,
% 19.59/19.78 (multiply(multiply(sk_c7, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2425])).
% 19.59/19.78 tff(2830,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[1742])).
% 19.59/19.78 tff(2831,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c7, multiply(sk_c2, multiply(sk_c7, multiply(sk_c6, sk_c2))))),
% 19.59/19.78 inference(symmetry,[status(thm)],[1740])).
% 19.59/19.78 tff(2832,plain,
% 19.59/19.78 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2831, 2830, 2829])).
% 19.59/19.78 tff(2833,plain,
% 19.59/19.78 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2832])).
% 19.59/19.78 tff(2834,plain,
% 19.59/19.78 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2175])).
% 19.59/19.78 tff(2835,plain,
% 19.59/19.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))))),
% 19.59/19.78 inference(quant_inst,[status(thm)],[])).
% 19.59/19.78 tff(2836,plain,
% 19.59/19.78 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.59/19.78 inference(unit_resolution,[status(thm)],[2835, 52])).
% 19.59/19.78 tff(2837,plain,
% 19.59/19.78 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.78 inference(symmetry,[status(thm)],[2836])).
% 19.59/19.78 tff(2838,plain,
% 19.59/19.78 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(sk_c2, sk_c8))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2190, 2201])).
% 19.59/19.78 tff(2839,plain,
% 19.59/19.78 (inverse(multiply(sk_c3, sk_c3)) = inverse(sk_c8)),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2739])).
% 19.59/19.78 tff(2840,plain,
% 19.59/19.78 (inverse(multiply(sk_c3, sk_c3)) = multiply(sk_c2, multiply(sk_c2, sk_c8))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2839, 323, 311, 1499, 1498, 1185, 2123, 968, 1311, 468, 625, 2182, 717, 2344, 1489, 2347, 2314, 1478, 1475, 1474, 2321, 2806, 2805, 2803, 2801, 2797, 2794, 1943, 2793, 2792, 2788, 2786, 2782, 2780, 2763, 2761, 2758, 2234, 2231, 2223, 2221, 2219])).
% 19.59/19.78 tff(2841,plain,
% 19.59/19.78 (multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2840])).
% 19.59/19.78 tff(2842,plain,
% 19.59/19.78 (multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = multiply(sk_c3, inverse(sk_c3))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2841, 2838, 2837, 2834, 2833, 2828, 2826, 2819, 2817, 2814, 1827, 1830, 1556, 2291, 279, 1835, 2439, 2260, 2438, 1844, 2437, 1855, 2434, 2431, 2429, 1880, 2427, 2730, 2729, 2012, 2716, 896, 218, 167, 1263, 1330, 1327, 1324, 1999])).
% 19.59/19.78 tff(2843,plain,
% 19.59/19.78 ((multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8) <=> (multiply(sk_c3, inverse(sk_c3)) = sk_c8)),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2842])).
% 19.59/19.78 tff(2844,plain,
% 19.59/19.78 ((~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) <=> (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8))),
% 19.59/19.78 inference(monotonicity,[status(thm)],[2843])).
% 19.59/19.78 tff(2845,plain,
% 19.59/19.78 (sk_c7 = multiply(sk_c2, multiply(sk_c2, sk_c8))),
% 19.59/19.78 inference(transitivity,[status(thm)],[311, 1499, 1498, 1185, 2123, 968, 1311, 468, 625, 2182, 717, 2344, 1489, 2347, 2314, 1478, 1475, 1474, 2321, 2806, 2805, 2803, 2801, 2797, 2794, 1943, 2793, 2792, 2788, 2786, 2782, 2780, 2763, 2761, 2758, 2234, 2231, 2223, 2221, 2219])).
% 19.59/19.78 tff(2846,plain,
% 19.59/19.78 (inverse(multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.78 inference(transitivity,[status(thm)],[2839, 323, 311, 1499, 1498, 1185, 2123, 968, 1311, 468, 625, 2182, 717, 2344, 1489, 2347, 2314, 1478, 1475, 1474, 2321, 2806, 2805, 2803, 2801, 2797, 2794, 1943, 2793, 2792, 2788, 2786, 2782, 2780, 2763, 2761, 2758, 2243, 2607, 2250, 2632, 2635, 2637, 2639, 2642, 2644])).
% 19.59/19.79 tff(2847,plain,
% 19.59/19.79 (multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, multiply(sk_c2, sk_c8)))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2846, 2845])).
% 19.59/19.79 tff(2848,plain,
% 19.59/19.79 (multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8),
% 19.59/19.79 inference(transitivity,[status(thm)],[2847, 2676, 2659, 2657, 2466, 2459, 2457, 2454, 2453, 2446, 2444, 2441, 2383, 2381, 2368, 2367, 2212, 2209, 2202, 2199, 2196, 2195, 2191, 2177, 1551, 2176, 2172, 2171, 1533, 2162, 1516, 2154, 1275, 986, 1268, 1260, 943, 981, 1319, 1318, 963, 1308, 940, 1300, 1298, 932, 1297, 926, 1294, 1280, 882, 880])).
% 19.59/19.79 tff(2849,plain,
% 19.59/19.79 (multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), sk_c3), sk_c2)),
% 19.59/19.79 inference(symmetry,[status(thm)],[2806])).
% 19.59/19.79 tff(2850,plain,
% 19.59/19.79 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)) = multiply(multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2)),
% 19.59/19.79 inference(symmetry,[status(thm)],[2805])).
% 19.59/19.79 tff(2851,plain,
% 19.59/19.79 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2803])).
% 19.59/19.79 tff(2852,plain,
% 19.59/19.79 (multiply(sk_c5, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.79 inference(transitivity,[status(thm)],[2738, 2035, 2032, 2031, 2029, 1569, 1567, 2179, 2184, 1406, 2186, 1139, 2188, 1446, 1214, 2133, 2506])).
% 19.59/19.79 tff(2853,plain,
% 19.59/19.79 (sk_c8 = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.79 inference(transitivity,[status(thm)],[2193, 2192, 1332, 1335, 2130, 2132, 1213, 1438, 2545, 2543, 2540, 2536, 2511, 2509])).
% 19.59/19.79 tff(2854,plain,
% 19.59/19.79 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2853, 2852])).
% 19.59/19.79 tff(2855,plain,
% 19.59/19.79 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7),
% 19.59/19.79 inference(transitivity,[status(thm)],[2854, 2851, 2850, 2849, 2322, 1473, 1649, 1477, 2315, 2348, 1135, 2345, 701, 2341, 626, 623, 1435, 967, 2124, 1186, 2089, 2088, 310])).
% 19.59/19.79 tff(2856,plain,
% 19.59/19.79 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) | (~(multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) | (~(multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8)))),
% 19.59/19.79 inference(rewrite,[status(thm)],[])).
% 19.59/19.79 tff(2857,plain,
% 19.59/19.79 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) | (~(multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8)))),
% 19.59/19.79 inference(rewrite,[status(thm)],[])).
% 19.59/19.79 tff(2858,plain,
% 19.59/19.79 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) | (~(multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8))))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2857])).
% 19.59/19.79 tff(2859,plain,
% 19.59/19.79 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) | (~(multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8)))),
% 19.59/19.79 inference(transitivity,[status(thm)],[2858, 2856])).
% 19.59/19.79 tff(2860,plain,
% 19.59/19.79 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8)))),
% 19.59/19.79 inference(quant_inst,[status(thm)],[])).
% 19.59/19.79 tff(2861,plain,
% 19.59/19.79 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) | (~(multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8))),
% 19.59/19.79 inference(modus_ponens,[status(thm)],[2860, 2859])).
% 19.59/19.79 tff(2862,plain,
% 19.59/19.79 ((~(multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c7)) | (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)) | (~(multiply(inverse(multiply(sk_c3, sk_c3)), sk_c7) = sk_c8))),
% 19.59/19.79 inference(unit_resolution,[status(thm)],[2861, 323, 2079, 1257, 2151, 390])).
% 19.59/19.79 tff(2863,plain,
% 19.59/19.79 (~(multiply(multiply(sk_c3, sk_c3), inverse(multiply(sk_c3, sk_c3))) = sk_c8)),
% 19.59/19.79 inference(unit_resolution,[status(thm)],[2862, 2855, 2848])).
% 19.59/19.79 tff(2864,plain,
% 19.59/19.79 (~(multiply(sk_c3, inverse(sk_c3)) = sk_c8)),
% 19.59/19.79 inference(modus_ponens,[status(thm)],[2863, 2844])).
% 19.59/19.79 tff(2865,plain,
% 19.59/19.79 (~(multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)),
% 19.59/19.79 inference(modus_ponens,[status(thm)],[2864, 2812])).
% 19.59/19.79 tff(2866,plain,
% 19.59/19.79 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2801])).
% 19.59/19.79 tff(2867,plain,
% 19.59/19.79 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2797])).
% 19.59/19.79 tff(2868,plain,
% 19.59/19.79 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c7))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2794])).
% 19.59/19.79 tff(2869,plain,
% 19.59/19.79 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2), multiply(sk_c2, sk_c7))),
% 19.59/19.79 inference(symmetry,[status(thm)],[1943])).
% 19.59/19.79 tff(2870,plain,
% 19.59/19.79 (multiply(sk_c3, multiply(sk_c2, sk_c8)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c2, multiply(sk_c2, sk_c7)))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2793])).
% 19.59/19.79 tff(2871,plain,
% 19.59/19.79 (multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(sk_c3, multiply(sk_c2, sk_c8))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2792])).
% 19.59/19.79 tff(2872,plain,
% 19.59/19.79 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))) = multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2788])).
% 19.59/19.79 tff(2873,plain,
% 19.59/19.79 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c7, multiply(sk_c2, sk_c8))) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c7, multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2786])).
% 19.59/19.79 tff(2874,plain,
% 19.59/19.79 (multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c8)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c7, multiply(sk_c2, sk_c8)))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2782])).
% 19.59/19.79 tff(2875,plain,
% 19.59/19.79 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c2)) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(sk_c7, multiply(sk_c2, sk_c8))))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2780])).
% 19.59/19.79 tff(2876,plain,
% 19.59/19.79 (multiply(multiply(sk_c3, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))), multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, sk_c2))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2763])).
% 19.59/19.79 tff(2877,plain,
% 19.59/19.79 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))), multiply(sk_c3, sk_c2))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2758])).
% 19.59/19.79 tff(2878,plain,
% 19.59/19.79 (multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3))) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c3, sk_c3))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2141])).
% 19.59/19.79 tff(2879,plain,
% 19.59/19.79 (multiply(sk_c5, multiply(sk_c3, sk_c3)) = inverse(sk_c5)),
% 19.59/19.79 inference(transitivity,[status(thm)],[2740, 2738, 2035, 2032, 2031, 2029, 1569, 1567, 2179, 2184, 1406, 2186, 1139, 2188, 1446, 1214, 2133, 2131, 1336, 1333, 1259, 1257, 2152])).
% 19.59/19.79 tff(2880,plain,
% 19.59/19.79 (multiply(multiply(sk_c5, multiply(sk_c3, sk_c3)), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2879])).
% 19.59/19.79 tff(2881,plain,
% 19.59/19.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c3, sk_c3)), sk_c5) = multiply(sk_c5, multiply(multiply(sk_c3, sk_c3), sk_c5)))),
% 19.59/19.79 inference(quant_inst,[status(thm)],[])).
% 19.59/19.79 tff(2882,plain,
% 19.59/19.79 (multiply(multiply(sk_c5, multiply(sk_c3, sk_c3)), sk_c5) = multiply(sk_c5, multiply(multiply(sk_c3, sk_c3), sk_c5))),
% 19.59/19.79 inference(unit_resolution,[status(thm)],[2881, 52])).
% 19.59/19.79 tff(2883,plain,
% 19.59/19.79 (multiply(sk_c5, multiply(multiply(sk_c3, sk_c3), sk_c5)) = multiply(multiply(sk_c5, multiply(sk_c3, sk_c3)), sk_c5)),
% 19.59/19.79 inference(symmetry,[status(thm)],[2882])).
% 19.59/19.79 tff(2884,plain,
% 19.59/19.79 (multiply(sk_c3, sk_c3) = inverse(sk_c5)),
% 19.59/19.79 inference(transitivity,[status(thm)],[2131, 1336, 1333, 1259, 1257, 2152])).
% 19.59/19.79 tff(2885,plain,
% 19.59/19.79 (multiply(multiply(sk_c3, sk_c3), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2884])).
% 19.59/19.79 tff(2886,plain,
% 19.59/19.79 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(sk_c3, sk_c3), sk_c5)),
% 19.59/19.79 inference(symmetry,[status(thm)],[2885])).
% 19.59/19.79 tff(2887,plain,
% 19.59/19.79 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(sk_c3, sk_c3), sk_c5)),
% 19.59/19.79 inference(transitivity,[status(thm)],[1262, 166, 346, 2886])).
% 19.59/19.79 tff(2888,plain,
% 19.59/19.79 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c5, multiply(multiply(sk_c3, sk_c3), sk_c5))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2887])).
% 19.59/19.79 tff(2889,plain,
% 19.59/19.79 (multiply(sk_c5, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.59/19.79 inference(transitivity,[status(thm)],[2888, 2883, 2880, 345, 167, 1263])).
% 19.59/19.79 tff(2890,plain,
% 19.59/19.79 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c5, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c3)), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2619, 2889])).
% 19.59/19.79 tff(2891,plain,
% 19.59/19.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c3), sk_c5), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c5, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))))),
% 19.59/19.79 inference(quant_inst,[status(thm)],[])).
% 19.59/19.79 tff(2892,plain,
% 19.59/19.79 (multiply(multiply(multiply(sk_c3, sk_c3), sk_c5), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c5, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))))),
% 19.59/19.79 inference(unit_resolution,[status(thm)],[2891, 52])).
% 19.59/19.79 tff(2893,plain,
% 19.59/19.79 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c3, sk_c3), sk_c5), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2887])).
% 19.59/19.79 tff(2894,plain,
% 19.59/19.79 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2116])).
% 19.59/19.79 tff(2895,plain,
% 19.59/19.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1)))),
% 19.59/19.79 inference(quant_inst,[status(thm)],[])).
% 19.59/19.79 tff(2896,plain,
% 19.59/19.79 (multiply(multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))), sk_c1))),
% 19.59/19.79 inference(unit_resolution,[status(thm)],[2895, 52])).
% 19.59/19.79 tff(2897,plain,
% 19.59/19.79 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[1269, 2106])).
% 19.59/19.79 tff(2898,plain,
% 19.59/19.79 (multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2897])).
% 19.59/19.79 tff(2899,plain,
% 19.59/19.79 (inverse(sk_c1) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1)))))),
% 19.59/19.79 inference(transitivity,[status(thm)],[1000, 2091, 2898])).
% 19.59/19.79 tff(2900,plain,
% 19.59/19.79 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))), sk_c1)),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2899])).
% 19.59/19.79 tff(2901,plain,
% 19.59/19.79 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7),
% 19.59/19.79 inference(transitivity,[status(thm)],[2392, 2395, 2398, 2401, 2419, 2808, 2423, 2730, 2729, 2012, 2716, 896, 218, 99, 2900, 2896, 2894, 2893, 2892, 2890, 2508, 2799, 2535, 2539, 2542, 2544, 2138, 2878, 2682, 2685, 2746, 2750, 2753, 2755, 2645, 2643, 2640, 2638, 2636, 2633, 2251, 2246, 2244, 2877, 2760, 2876, 2875, 2874, 2873, 2872, 2871, 2870, 2869, 2868, 2867, 2866, 2851, 2850, 2849, 2322, 1473, 1649, 1477, 2315, 2348, 1135, 2345, 701, 2341, 626, 623, 1435, 967, 2124, 1186, 2089, 2088, 310])).
% 19.59/19.79 tff(2902,plain,
% 19.59/19.79 ($false),
% 19.59/19.79 inference(unit_resolution,[status(thm)],[2901, 2865])).
% 19.59/19.79 tff(2903,plain,(multiply(sk_c1, sk_c2) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 19.59/19.79 tff(2904,plain,
% 19.59/19.79 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.59/19.79 inference(transitivity,[status(thm)],[1199, 1202, 1206, 1209, 1219, 1222, 1227, 1230, 1247, 2903, 883, 1048, 887, 922, 925, 928, 931, 934, 937, 1060, 1059, 1052, 974, 977, 980])).
% 19.59/19.79 tff(2905,plain,
% 19.59/19.79 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), sk_c7) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2904, 1252])).
% 19.59/19.79 tff(2906,plain,
% 19.59/19.79 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), sk_c7)),
% 19.59/19.79 inference(symmetry,[status(thm)],[2905])).
% 19.59/19.79 tff(2907,plain,
% 19.59/19.79 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)),
% 19.59/19.79 inference(transitivity,[status(thm)],[625, 1013, 1010, 1007])).
% 19.59/19.79 tff(2908,plain,
% 19.59/19.79 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2907])).
% 19.59/19.79 tff(2909,plain,
% 19.59/19.79 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.79 inference(symmetry,[status(thm)],[2908])).
% 19.59/19.79 tff(2910,plain,
% 19.59/19.79 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))),
% 19.59/19.79 inference(transitivity,[status(thm)],[1232, 457, 898, 166, 436, 897, 54])).
% 19.59/19.79 tff(2911,plain,
% 19.59/19.79 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), inverse(sk_c1)) = multiply(multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2910])).
% 19.59/19.79 tff(2912,plain,
% 19.59/19.79 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, inverse(sk_c1)))),
% 19.59/19.79 inference(monotonicity,[status(thm)],[1005])).
% 19.59/19.79 tff(2913,plain,
% 19.59/19.79 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = inverse(sk_c1)),
% 19.59/19.79 inference(transitivity,[status(thm)],[2912, 1362, 2911, 996, 999])).
% 19.59/19.79 tff(2914,plain,
% 19.59/19.79 (multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 19.59/19.79 inference(monotonicity,[status(thm)],[2913])).
% 19.59/19.79 tff(2915,plain,
% 19.59/19.79 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), sk_c1)),
% 19.59/19.79 inference(symmetry,[status(thm)],[2914])).
% 19.59/19.79 tff(2916,plain,
% 19.59/19.79 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(sk_c1, sk_c3), sk_c2)),
% 19.59/19.80 inference(transitivity,[status(thm)],[898, 166, 99, 2915, 2706, 2909, 2906, 1251, 1179, 1117, 1115, 1108, 1105, 1102, 1100, 1097, 1094])).
% 19.59/19.80 tff(2917,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(multiply(sk_c1, sk_c3), sk_c2))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2916])).
% 19.59/19.80 tff(2918,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(multiply(sk_c1, sk_c3), sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2917])).
% 19.59/19.80 tff(2919,plain,
% 19.59/19.80 (multiply(sk_c1, multiply(sk_c2, sk_c7)) = multiply(sk_c1, sk_c8)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[880])).
% 19.59/19.80 tff(2920,plain,
% 19.59/19.80 (multiply(sk_c1, sk_c8) = multiply(sk_c1, multiply(sk_c2, sk_c7))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2919])).
% 19.59/19.80 tff(2921,plain,
% 19.59/19.80 (multiply(sk_c1, sk_c8) = multiply(sk_c1, multiply(sk_c2, sk_c3))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1049])).
% 19.59/19.80 tff(2922,plain,
% 19.59/19.80 (multiply(sk_c1, multiply(sk_c2, sk_c3)) = multiply(sk_c1, sk_c8)),
% 19.59/19.80 inference(symmetry,[status(thm)],[2921])).
% 19.59/19.80 tff(2923,plain,
% 19.59/19.80 (multiply(sk_c2, sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)),
% 19.59/19.80 inference(transitivity,[status(thm)],[1015, 1061, 1024, 1039, 1042, 1046, 937, 1060, 1059, 1052, 974, 977, 980, 944, 941, 1066, 1573, 987, 994])).
% 19.59/19.80 tff(2924,plain,
% 19.59/19.80 (multiply(sk_c1, multiply(sk_c2, sk_c3)) = multiply(sk_c1, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2923])).
% 19.59/19.80 tff(2925,plain,
% 19.59/19.80 (multiply(sk_c1, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)) = multiply(sk_c1, multiply(sk_c2, sk_c3))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2924])).
% 19.59/19.80 tff(2926,plain,
% 19.59/19.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(sk_c1, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)))),
% 19.59/19.80 inference(quant_inst,[status(thm)],[])).
% 19.59/19.80 tff(2927,plain,
% 19.59/19.80 (multiply(multiply(sk_c1, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(sk_c1, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.59/19.80 inference(unit_resolution,[status(thm)],[2926, 52])).
% 19.59/19.80 tff(2928,plain,
% 19.59/19.80 (multiply(sk_c1, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c1, sk_c3)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[916])).
% 19.59/19.80 tff(2929,plain,
% 19.59/19.80 (multiply(multiply(sk_c1, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2) = multiply(multiply(sk_c1, sk_c3), sk_c2)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2928])).
% 19.59/19.80 tff(2930,plain,
% 19.59/19.80 (multiply(multiply(sk_c1, sk_c3), sk_c2) = multiply(multiply(sk_c1, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2)),
% 19.59/19.80 inference(symmetry,[status(thm)],[2929])).
% 19.59/19.80 tff(2931,plain,
% 19.59/19.80 (multiply(multiply(sk_c1, sk_c3), sk_c2) = multiply(sk_c1, multiply(sk_c2, sk_c7))),
% 19.59/19.80 inference(transitivity,[status(thm)],[2930, 2927, 2925, 2922, 2920])).
% 19.59/19.80 tff(2932,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(multiply(sk_c1, sk_c3), sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, multiply(sk_c2, sk_c7)))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2931])).
% 19.59/19.80 tff(2933,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(multiply(sk_c1, sk_c3), sk_c2))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2932])).
% 19.59/19.80 tff(2934,plain,
% 19.59/19.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, multiply(sk_c2, sk_c7))))),
% 19.59/19.80 inference(quant_inst,[status(thm)],[])).
% 19.59/19.80 tff(2935,plain,
% 19.59/19.80 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, multiply(sk_c2, sk_c7)))),
% 19.59/19.80 inference(unit_resolution,[status(thm)],[2934, 52])).
% 19.59/19.80 tff(2936,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1) = sk_c3),
% 19.59/19.80 inference(transitivity,[status(thm)],[1006, 1009, 1012, 626, 623, 894, 61])).
% 19.59/19.80 tff(2937,plain,
% 19.59/19.80 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), multiply(sk_c2, sk_c7)) = multiply(sk_c3, sk_c8)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2936, 880])).
% 19.59/19.80 tff(2938,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c8) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), multiply(sk_c2, sk_c7))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2937])).
% 19.59/19.80 tff(2939,plain,
% 19.59/19.80 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7)) = multiply(sk_c3, sk_c8)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[901, 880])).
% 19.59/19.80 tff(2940,plain,
% 19.59/19.80 (multiply(sk_c2, inverse(sk_c8)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))),
% 19.59/19.80 inference(transitivity,[status(thm)],[432, 1048, 887])).
% 19.59/19.80 tff(2941,plain,
% 19.59/19.80 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2940])).
% 19.59/19.80 tff(2942,plain,
% 19.59/19.80 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.80 inference(transitivity,[status(thm)],[2941, 1327, 2939, 2938, 2935, 2933, 2918])).
% 19.59/19.80 tff(2943,plain,
% 19.59/19.80 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c1) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c1)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2942])).
% 19.59/19.80 tff(2944,plain,
% 19.59/19.80 (sk_c1 = multiply(identity, sk_c1)),
% 19.59/19.80 inference(symmetry,[status(thm)],[1075])).
% 19.59/19.80 tff(2945,plain,
% 19.59/19.80 (sk_c1 = sk_c3),
% 19.59/19.80 inference(transitivity,[status(thm)],[2944, 1076, 2943, 1081, 1079, 1009, 1012, 626, 623, 894, 61])).
% 19.59/19.80 tff(2946,plain,
% 19.59/19.80 (inverse(sk_c1) = inverse(sk_c3)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2945])).
% 19.59/19.80 tff(2947,assumption,(inverse(sk_c1) = sk_c2), introduced(assumption)).
% 19.59/19.80 tff(2948,plain,
% 19.59/19.80 (sk_c2 = inverse(sk_c1)),
% 19.59/19.80 inference(symmetry,[status(thm)],[2947])).
% 19.59/19.80 tff(2949,plain,
% 19.59/19.80 (multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c7, multiply(inverse(sk_c2), sk_c2))),
% 19.59/19.80 inference(symmetry,[status(thm)],[1119])).
% 19.59/19.80 tff(2950,plain,
% 19.59/19.80 (sk_c3 = multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)),
% 19.59/19.80 inference(transitivity,[status(thm)],[718, 893, 468, 625, 2949, 717])).
% 19.59/19.80 tff(2951,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c7) = multiply(multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2), sk_c7)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2950])).
% 19.59/19.80 tff(2952,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2), sk_c7) = multiply(sk_c3, sk_c7)),
% 19.59/19.80 inference(symmetry,[status(thm)],[2951])).
% 19.59/19.80 tff(2953,plain,
% 19.59/19.80 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1187])).
% 19.59/19.80 tff(2954,plain,
% 19.59/19.80 (multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c7, inverse(sk_c2)), multiply(sk_c2, sk_c7))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2953])).
% 19.59/19.80 tff(2955,plain,
% 19.59/19.80 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(inverse(sk_c8), sk_c3)),
% 19.59/19.80 inference(symmetry,[status(thm)],[1217])).
% 19.59/19.80 tff(2956,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c3) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.80 inference(symmetry,[status(thm)],[1211])).
% 19.59/19.80 tff(2957,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(multiply(sk_c2, sk_c3), inverse(sk_c2)), sk_c2)),
% 19.59/19.80 inference(symmetry,[status(thm)],[1059])).
% 19.59/19.80 tff(2958,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c2) = inverse(sk_c4)),
% 19.59/19.80 inference(transitivity,[status(thm)],[988, 986, 1067, 982, 943, 981, 978, 975, 963, 2957, 940, 938, 935, 932, 929, 926, 923, 888, 882, 880, 2080])).
% 19.59/19.80 tff(2959,plain,
% 19.59/19.80 (multiply(multiply(sk_c3, sk_c2), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2958])).
% 19.59/19.80 tff(2960,plain,
% 19.59/19.80 (multiply(multiply(sk_c3, sk_c2), sk_c4) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.59/19.80 inference(transitivity,[status(thm)],[2959, 409, 167, 885, 458])).
% 19.59/19.80 tff(2961,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c3, sk_c2), sk_c4), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2960, 916])).
% 19.59/19.80 tff(2962,plain,
% 19.59/19.80 (multiply(sk_c4, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(sk_c4, sk_c7)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1191])).
% 19.59/19.80 tff(2963,plain,
% 19.59/19.80 (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2962])).
% 19.59/19.80 tff(2964,plain,
% 19.59/19.80 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2963])).
% 19.59/19.80 tff(2965,plain,
% 19.59/19.80 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7)) = sk_c3),
% 19.59/19.80 inference(transitivity,[status(thm)],[2964, 2087, 2961, 894, 61])).
% 19.59/19.80 tff(2966,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7))) = multiply(sk_c3, sk_c3)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[916, 2965])).
% 19.59/19.80 tff(2967,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1068])).
% 19.59/19.80 tff(2968,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2967])).
% 19.59/19.80 tff(2969,plain,
% 19.59/19.80 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = sk_c8),
% 19.59/19.80 inference(transitivity,[status(thm)],[981, 978, 975, 963, 2957, 940, 938, 935, 932, 929, 926, 923, 888, 882, 880])).
% 19.59/19.80 tff(2970,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c3, sk_c8)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[916, 2969])).
% 19.59/19.80 tff(2971,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2970])).
% 19.59/19.80 tff(2972,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c8) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1090, 883])).
% 19.59/19.80 tff(2973,plain,
% 19.59/19.80 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7)) = multiply(sk_c3, sk_c8)),
% 19.59/19.80 inference(symmetry,[status(thm)],[2972])).
% 19.59/19.80 tff(2974,plain,
% 19.59/19.80 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)) = multiply(sk_c2, inverse(sk_c8))),
% 19.59/19.80 inference(transitivity,[status(thm)],[888, 882, 459])).
% 19.59/19.80 tff(2975,plain,
% 19.59/19.80 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2974])).
% 19.59/19.80 tff(2976,plain,
% 19.59/19.80 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7)))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2975])).
% 19.59/19.80 tff(2977,plain,
% 19.59/19.80 (identity = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2))),
% 19.59/19.80 inference(transitivity,[status(thm)],[167, 885, 2976, 1327, 2973, 2971, 2968])).
% 19.59/19.80 tff(2978,plain,
% 19.59/19.80 (multiply(identity, multiply(sk_c4, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)), multiply(sk_c4, sk_c7))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2977])).
% 19.59/19.80 tff(2979,plain,
% 19.59/19.80 (multiply(sk_c4, sk_c7) = multiply(sk_c3, sk_c7)),
% 19.59/19.80 inference(transitivity,[status(thm)],[2192, 2978, 1335, 2966, 2956, 1213, 2955, 1142, 1140, 2954, 1407, 2952])).
% 19.59/19.80 tff(2980,plain,
% 19.59/19.80 ((multiply(sk_c4, sk_c7) = sk_c8) <=> (multiply(sk_c3, sk_c7) = sk_c8)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2979])).
% 19.59/19.80 tff(2981,plain,
% 19.59/19.80 ((multiply(sk_c3, sk_c7) = sk_c8) <=> (multiply(sk_c4, sk_c7) = sk_c8)),
% 19.59/19.80 inference(symmetry,[status(thm)],[2980])).
% 19.59/19.80 tff(2982,assumption,(~(multiply(sk_c4, sk_c7) = sk_c8)), introduced(assumption)).
% 19.59/19.80 tff(2983,plain,
% 19.59/19.80 (((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 19.59/19.80 inference(rewrite,[status(thm)],[])).
% 19.59/19.80 tff(2984,axiom,((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_27')).
% 19.59/19.80 tff(2985,plain,
% 19.59/19.80 ((multiply(sk_c3, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 19.59/19.80 inference(modus_ponens,[status(thm)],[2984, 2983])).
% 19.59/19.80 tff(2986,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c7) = sk_c8),
% 19.59/19.80 inference(unit_resolution,[status(thm)],[2985, 2982])).
% 19.59/19.80 tff(2987,plain,
% 19.59/19.80 (multiply(sk_c4, sk_c7) = sk_c8),
% 19.59/19.80 inference(modus_ponens,[status(thm)],[2986, 2981])).
% 19.59/19.80 tff(2988,plain,
% 19.59/19.80 ($false),
% 19.59/19.80 inference(unit_resolution,[status(thm)],[2982, 2987])).
% 19.59/19.80 tff(2989,plain,(multiply(sk_c4, sk_c7) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 19.59/19.80 tff(2990,plain,
% 19.59/19.80 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(sk_c2, sk_c7))) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2941])).
% 19.59/19.80 tff(2991,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c8) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c2, sk_c7))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2939])).
% 19.59/19.80 tff(2992,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[904, 1065])).
% 19.59/19.80 tff(2993,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c3, sk_c8)),
% 19.59/19.80 inference(symmetry,[status(thm)],[2992])).
% 19.59/19.80 tff(2994,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)) = identity),
% 19.59/19.80 inference(transitivity,[status(thm)],[2967, 2993, 2991, 1326, 2990, 898, 166])).
% 19.59/19.80 tff(2995,plain,
% 19.59/19.80 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)), multiply(sk_c4, sk_c7)) = multiply(identity, multiply(sk_c4, sk_c7))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2994])).
% 19.59/19.80 tff(2996,plain,
% 19.59/19.80 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2964])).
% 19.59/19.80 tff(2997,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(multiply(sk_c3, sk_c2), sk_c4), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2961])).
% 19.59/19.80 tff(2998,plain,
% 19.59/19.80 (sk_c3 = multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7))),
% 19.59/19.80 inference(transitivity,[status(thm)],[718, 893, 2997, 2086, 2996])).
% 19.59/19.80 tff(2999,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7)))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[904, 2998])).
% 19.59/19.80 tff(3000,plain,
% 19.59/19.80 (multiply(inverse(sk_c8), sk_c3) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.59/19.80 inference(transitivity,[status(thm)],[1217, 1214, 1211, 2999, 1336, 2995, 1259, 2989, 883, 1048, 887, 922, 925, 928, 931, 934, 937, 1060, 1059, 1052, 974, 977, 980])).
% 19.59/19.80 tff(3001,plain,
% 19.59/19.80 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1106, 3000])).
% 19.59/19.80 tff(3002,plain,
% 19.59/19.80 (sk_c7 = sk_c8),
% 19.59/19.80 inference(transitivity,[status(thm)],[311, 1180, 1182, 1185, 1188, 968, 965, 468, 3001, 1238, 1237, 1234, 1053, 44, 2948, 2946, 426])).
% 19.59/19.80 tff(3003,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c7), sk_c3) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.59/19.80 inference(transitivity,[status(thm)],[2004, 896, 218, 167, 885, 458])).
% 19.59/19.80 tff(3004,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c2, sk_c7), sk_c3), sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3003])).
% 19.59/19.80 tff(3005,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3)) = sk_c3),
% 19.59/19.80 inference(transitivity,[status(thm)],[2714, 3004, 894, 61])).
% 19.59/19.80 tff(3006,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c7), multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, sk_c3))) = multiply(multiply(sk_c2, inverse(sk_c8)), sk_c3)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[459, 3005])).
% 19.59/19.80 tff(3007,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7))) = multiply(sk_c3, sk_c3)),
% 19.59/19.80 inference(symmetry,[status(thm)],[2999])).
% 19.59/19.80 tff(3008,plain,
% 19.59/19.80 (multiply(identity, multiply(sk_c4, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)), multiply(sk_c4, sk_c7))),
% 19.59/19.80 inference(symmetry,[status(thm)],[2995])).
% 19.59/19.80 tff(3009,plain,
% 19.59/19.80 (sk_c8 = multiply(sk_c4, sk_c7)),
% 19.59/19.80 inference(symmetry,[status(thm)],[2989])).
% 19.59/19.80 tff(3010,plain,
% 19.59/19.80 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(sk_c3, sk_c3)),
% 19.59/19.80 inference(transitivity,[status(thm)],[981, 978, 975, 963, 2957, 940, 938, 935, 932, 929, 926, 923, 888, 882, 880, 3009, 2192, 3008, 1335, 3007])).
% 19.59/19.80 tff(3011,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c2, sk_c2), multiply(sk_c3, sk_c3))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1218])).
% 19.59/19.80 tff(3012,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[2721, 1187])).
% 19.59/19.80 tff(3013,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)) = multiply(multiply(sk_c2, sk_c2), sk_c3)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1195])).
% 19.59/19.80 tff(3014,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c2), sk_c3) = multiply(multiply(sk_c2, sk_c2), multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2))),
% 19.59/19.80 inference(symmetry,[status(thm)],[3013])).
% 19.59/19.80 tff(3015,plain,
% 19.59/19.80 (multiply(sk_c2, multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), sk_c2)),
% 19.59/19.80 inference(transitivity,[status(thm)],[279, 3014, 1900])).
% 19.59/19.80 tff(3016,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7) = multiply(multiply(multiply(multiply(sk_c2, sk_c2), multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3015])).
% 19.59/19.80 tff(3017,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7))),
% 19.59/19.80 inference(transitivity,[status(thm)],[3016, 1897, 3012, 1892, 3011, 1889, 1887, 1245, 1243, 1242])).
% 19.59/19.80 tff(3018,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c2, multiply(sk_c2, sk_c3)), sk_c7), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c2, sk_c7)), multiply(sk_c3, sk_c3))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3017, 3010])).
% 19.59/19.80 tff(3019,plain,
% 19.59/19.80 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), multiply(sk_c6, sk_c2)) = multiply(identity, multiply(sk_c6, sk_c2))),
% 19.59/19.80 inference(symmetry,[status(thm)],[1171])).
% 19.59/19.80 tff(3020,plain,
% 19.59/19.80 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c6, sk_c2)),
% 19.59/19.80 inference(transitivity,[status(thm)],[1165, 1634, 3019, 1173])).
% 19.59/19.80 tff(3021,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c6, sk_c2))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3020])).
% 19.59/19.80 tff(3022,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.59/19.80 inference(symmetry,[status(thm)],[3021])).
% 19.59/19.80 tff(3023,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c6, sk_c2)) = multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[910])).
% 19.59/19.80 tff(3024,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c6, sk_c2))),
% 19.59/19.80 inference(symmetry,[status(thm)],[3023])).
% 19.59/19.80 tff(3025,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[880, 3020])).
% 19.59/19.80 tff(3026,plain,
% 19.59/19.80 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))))),
% 19.59/19.80 inference(symmetry,[status(thm)],[3025])).
% 19.59/19.80 tff(3027,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))))),
% 19.59/19.80 inference(transitivity,[status(thm)],[993, 988, 986, 1067, 982, 943, 3026, 2415, 2413, 3024, 3022, 2404])).
% 19.59/19.80 tff(3028,plain,
% 19.59/19.80 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)) = multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2)))))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3027])).
% 19.59/19.80 tff(3029,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c3), sk_c2) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c2)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1027])).
% 19.59/19.80 tff(3030,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c2) = multiply(sk_c2, sk_c3)),
% 19.59/19.80 inference(transitivity,[status(thm)],[988, 986, 1067, 982, 943, 981, 978, 975, 963, 2957, 940, 938, 1047, 1043, 1040, 1025, 1018, 1016])).
% 19.59/19.80 tff(3031,plain,
% 19.59/19.80 (multiply(multiply(sk_c3, sk_c2), sk_c2) = multiply(multiply(sk_c2, sk_c3), sk_c2)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3030])).
% 19.59/19.80 tff(3032,plain,
% 19.59/19.80 (multiply(sk_c8, sk_c8) = sk_c2),
% 19.59/19.80 inference(transitivity,[status(thm)],[1050, 1063, 1238, 1237, 1234, 1053, 44])).
% 19.59/19.80 tff(3033,plain,
% 19.59/19.80 (sk_c8 = multiply(sk_c3, sk_c2)),
% 19.59/19.80 inference(transitivity,[status(thm)],[883, 1048, 887, 922, 925, 928, 931, 934, 937, 1060, 1059, 1052, 974, 977, 980, 944, 941, 1066, 1573, 987])).
% 19.59/19.80 tff(3034,plain,
% 19.59/19.80 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c3, sk_c2), sk_c2)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3033, 3032])).
% 19.59/19.80 tff(3035,plain,
% 19.59/19.80 (multiply(sk_c8, multiply(sk_c8, sk_c8)) = multiply(sk_c3, inverse(sk_c3))),
% 19.59/19.80 inference(transitivity,[status(thm)],[3034, 3031, 3029, 2401, 3028, 2808, 2423, 2730, 3018, 2012, 3006, 896, 218, 167, 885, 2941, 1327, 2939, 1999])).
% 19.59/19.80 tff(3036,plain,
% 19.59/19.80 ((multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7) <=> (multiply(sk_c3, inverse(sk_c3)) = sk_c8)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3035, 3002])).
% 19.59/19.80 tff(3037,plain,
% 19.59/19.80 ((multiply(sk_c3, inverse(sk_c3)) = sk_c8) <=> (multiply(sk_c8, multiply(sk_c8, sk_c8)) = sk_c7)),
% 19.59/19.80 inference(symmetry,[status(thm)],[3036])).
% 19.59/19.80 tff(3038,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7) = multiply(sk_c3, sk_c7)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[916])).
% 19.59/19.80 tff(3039,plain,
% 19.59/19.80 (multiply(sk_c3, sk_c7) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7)),
% 19.59/19.80 inference(symmetry,[status(thm)],[3038])).
% 19.59/19.80 tff(3040,plain,
% 19.59/19.80 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c7) = multiply(sk_c3, sk_c7)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[901])).
% 19.59/19.80 tff(3041,plain,
% 19.59/19.80 (sk_c7 = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7)),
% 19.59/19.80 inference(transitivity,[status(thm)],[311, 1180])).
% 19.59/19.80 tff(3042,plain,
% 19.59/19.80 (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[323, 3041])).
% 19.59/19.80 tff(3043,plain,
% 19.59/19.80 (multiply(inverse(sk_c8), sk_c7) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7)),
% 19.59/19.80 inference(transitivity,[status(thm)],[3042, 1567, 3040, 3039])).
% 19.59/19.80 tff(3044,plain,
% 19.59/19.80 (multiply(sk_c2, multiply(inverse(sk_c8), sk_c7)) = multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3043])).
% 19.59/19.80 tff(3045,plain,
% 19.59/19.80 (multiply(sk_c2, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c7)) = multiply(sk_c2, multiply(inverse(sk_c8), sk_c7))),
% 19.59/19.80 inference(symmetry,[status(thm)],[3044])).
% 19.59/19.80 tff(3046,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c7) = multiply(multiply(sk_c2, sk_c3), sk_c7)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1026])).
% 19.59/19.80 tff(3047,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c3), sk_c7) = multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))), sk_c7)),
% 19.59/19.80 inference(symmetry,[status(thm)],[3046])).
% 19.59/19.80 tff(3048,plain,
% 19.59/19.80 (multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)) = multiply(sk_c2, sk_c3)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1195])).
% 19.59/19.80 tff(3049,plain,
% 19.59/19.80 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2))),
% 19.59/19.80 inference(symmetry,[status(thm)],[3048])).
% 19.59/19.80 tff(3050,plain,
% 19.59/19.80 (multiply(sk_c2, sk_c3) = multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2)),
% 19.59/19.80 inference(transitivity,[status(thm)],[3049, 1978])).
% 19.59/19.80 tff(3051,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, sk_c3), sk_c7) = multiply(multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3050])).
% 19.59/19.80 tff(3052,plain,
% 19.59/19.80 (multiply(multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), sk_c2), sk_c7) = multiply(multiply(sk_c2, sk_c3), sk_c7)),
% 19.59/19.80 inference(symmetry,[status(thm)],[3051])).
% 19.59/19.80 tff(3053,plain,
% 19.59/19.80 (multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))) = multiply(sk_c2, multiply(sk_c7, inverse(sk_c2)))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1132])).
% 19.59/19.80 tff(3054,plain,
% 19.59/19.80 (multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))) = multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))))),
% 19.59/19.80 inference(symmetry,[status(thm)],[3053])).
% 19.59/19.80 tff(3055,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3054, 1187])).
% 19.59/19.80 tff(3056,plain,
% 19.59/19.80 (multiply(multiply(sk_c2, multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2)))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c2, multiply(sk_c7, inverse(sk_c2))), multiply(sk_c2, sk_c7))),
% 19.59/19.80 inference(symmetry,[status(thm)],[3055])).
% 19.59/19.80 tff(3057,plain,
% 19.59/19.80 (multiply(sk_c2, multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3))) = multiply(sk_c2, multiply(sk_c3, sk_c3))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[1218])).
% 19.59/19.80 tff(3058,plain,
% 19.59/19.80 (multiply(sk_c2, multiply(sk_c3, sk_c3)) = multiply(sk_c2, multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(sk_c2, sk_c3)))),
% 19.59/19.80 inference(symmetry,[status(thm)],[3057])).
% 19.59/19.80 tff(3059,plain,
% 19.59/19.80 (multiply(sk_c3, inverse(sk_c3)) = multiply(sk_c8, sk_c7)),
% 19.59/19.80 inference(transitivity,[status(thm)],[1996, 2991, 1326, 2990, 898, 166, 436, 897, 920, 915, 912, 1225, 3058, 1993, 3056, 1986, 3052, 3047, 1973, 3045, 1966, 1964, 1961])).
% 19.59/19.80 tff(3060,plain,
% 19.59/19.80 ((multiply(sk_c3, inverse(sk_c3)) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3059])).
% 19.59/19.80 tff(3061,plain,
% 19.59/19.80 ((multiply(sk_c8, sk_c7) = sk_c8) <=> (multiply(sk_c3, inverse(sk_c3)) = sk_c8)),
% 19.59/19.80 inference(symmetry,[status(thm)],[3060])).
% 19.59/19.80 tff(3062,plain,
% 19.59/19.80 ((multiply(sk_c8, inverse(sk_c8)) = sk_c8) <=> (multiply(sk_c8, multiply(multiply(sk_c3, sk_c2), sk_c8)) = sk_c7)),
% 19.59/19.80 inference(transitivity,[status(thm)],[1958, 3061, 3037, 1073])).
% 19.59/19.80 tff(3063,plain,
% 19.59/19.80 ((~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) <=> (~(multiply(sk_c8, multiply(multiply(sk_c3, sk_c2), sk_c8)) = sk_c7))),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3062])).
% 19.59/19.80 tff(3064,plain,
% 19.59/19.80 (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c3, sk_c7)),
% 19.59/19.80 inference(transitivity,[status(thm)],[3042, 1567, 3040])).
% 19.59/19.80 tff(3065,plain,
% 19.59/19.80 ((multiply(inverse(sk_c8), sk_c7) = sk_c8) <=> (multiply(sk_c3, sk_c7) = sk_c8)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3064])).
% 19.59/19.80 tff(3066,plain,
% 19.59/19.80 ((multiply(sk_c3, sk_c7) = sk_c8) <=> (multiply(inverse(sk_c8), sk_c7) = sk_c8)),
% 19.59/19.80 inference(symmetry,[status(thm)],[3065])).
% 19.59/19.80 tff(3067,plain,
% 19.59/19.80 (multiply(sk_c4, sk_c7) = multiply(sk_c3, sk_c7)),
% 19.59/19.80 inference(transitivity,[status(thm)],[2192, 3008, 1335, 3007, 2956, 1213, 2955, 1142, 1140, 2954, 1407, 2952])).
% 19.59/19.80 tff(3068,plain,
% 19.59/19.80 ((multiply(sk_c4, sk_c7) = sk_c8) <=> (multiply(sk_c3, sk_c7) = sk_c8)),
% 19.59/19.80 inference(monotonicity,[status(thm)],[3067])).
% 19.59/19.80 tff(3069,plain,
% 19.59/19.80 ((multiply(sk_c4, sk_c7) = sk_c8) <=> (multiply(inverse(sk_c8), sk_c7) = sk_c8)),
% 19.59/19.80 inference(transitivity,[status(thm)],[3068, 3066])).
% 19.59/19.80 tff(3070,plain,
% 19.59/19.80 (multiply(inverse(sk_c8), sk_c7) = sk_c8),
% 19.59/19.80 inference(modus_ponens,[status(thm)],[2989, 3069])).
% 19.59/19.80 tff(3071,plain,
% 19.59/19.80 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.59/19.80 inference(symmetry,[status(thm)],[3001])).
% 19.59/19.80 tff(3072,plain,
% 19.59/19.80 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.80 inference(symmetry,[status(thm)],[1238])).
% 19.59/19.80 tff(3073,plain,
% 19.59/19.80 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = multiply(multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7), sk_c2)),
% 19.59/19.81 inference(symmetry,[status(thm)],[1234])).
% 19.59/19.81 tff(3074,plain,
% 19.59/19.81 (sk_c2 = sk_c3),
% 19.59/19.81 inference(transitivity,[status(thm)],[102, 1054, 3073, 1236, 3072, 3071, 623, 894, 61])).
% 19.59/19.81 tff(3075,plain,
% 19.59/19.81 (inverse(sk_c2) = inverse(sk_c3)),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3074])).
% 19.59/19.81 tff(3076,plain,
% 19.59/19.81 (inverse(sk_c2) = sk_c8),
% 19.59/19.81 inference(transitivity,[status(thm)],[3075, 426])).
% 19.59/19.81 tff(3077,plain,
% 19.59/19.81 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), sk_c2) = multiply(sk_c3, sk_c2)),
% 19.59/19.81 inference(monotonicity,[status(thm)],[2936])).
% 19.59/19.81 tff(3078,plain,
% 19.59/19.81 (multiply(sk_c7, multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), sk_c7)) = multiply(sk_c7, multiply(sk_c2, multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[2910])).
% 19.59/19.81 tff(3079,plain,
% 19.59/19.81 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.59/19.81 inference(transitivity,[status(thm)],[1524, 3078, 626])).
% 19.59/19.81 tff(3080,plain,
% 19.59/19.81 (multiply(multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), sk_c7), multiply(sk_c2, multiply(inverse(sk_c8), multiply(sk_c3, inverse(sk_c1))))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), inverse(sk_c1))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3079, 1033])).
% 19.59/19.81 tff(3081,plain,
% 19.59/19.81 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))) = multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))),
% 19.59/19.81 inference(transitivity,[status(thm)],[1518, 2160, 3080, 472])).
% 19.59/19.81 tff(3082,plain,
% 19.59/19.81 (multiply(multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1)))), multiply(sk_c1, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3081])).
% 19.59/19.81 tff(3083,plain,
% 19.59/19.81 (multiply(sk_c3, sk_c2) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), sk_c1), sk_c2)),
% 19.59/19.81 inference(symmetry,[status(thm)],[3077])).
% 19.59/19.81 tff(3084,plain,
% 19.59/19.81 (multiply(sk_c2, sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2))),
% 19.59/19.81 inference(transitivity,[status(thm)],[1015, 1061, 1024, 1039, 1042, 1046, 937, 1060, 1059, 1052, 974, 977, 980, 944, 941, 1066, 1573, 987, 3083, 1515])).
% 19.59/19.81 tff(3085,plain,
% 19.59/19.81 (multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, sk_c2)))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3084])).
% 19.59/19.81 tff(3086,plain,
% 19.59/19.81 (multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(multiply(sk_c2, sk_c7), multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c3))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[1165, 1187])).
% 19.59/19.81 tff(3087,plain,
% 19.59/19.81 (multiply(multiply(inverse(sk_c8), sk_c7), sk_c2) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.81 inference(transitivity,[status(thm)],[1539, 1542, 1544])).
% 19.59/19.81 tff(3088,plain,
% 19.59/19.81 (multiply(multiply(multiply(inverse(sk_c8), sk_c7), sk_c2), multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, sk_c2))), multiply(sk_c2, sk_c7))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3087])).
% 19.59/19.81 tff(3089,plain,
% 19.59/19.81 (multiply(sk_c7, multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c7)) = multiply(inverse(sk_c8), sk_c7)),
% 19.59/19.81 inference(symmetry,[status(thm)],[3042])).
% 19.59/19.81 tff(3090,plain,
% 19.59/19.81 (multiply(sk_c3, sk_c7) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c7)),
% 19.59/19.81 inference(symmetry,[status(thm)],[3040])).
% 19.59/19.81 tff(3091,plain,
% 19.59/19.81 (multiply(sk_c3, sk_c3) = multiply(inverse(sk_c8), sk_c7)),
% 19.59/19.81 inference(transitivity,[status(thm)],[2956, 1213, 2955, 1142, 1140, 2954, 1407, 2952, 3090, 1566, 3089])).
% 19.59/19.81 tff(3092,plain,
% 19.59/19.81 (multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(inverse(sk_c8), sk_c7), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3091])).
% 19.59/19.81 tff(3093,plain,
% 19.59/19.81 (multiply(sk_c3, sk_c2) = multiply(sk_c3, sk_c3)),
% 19.59/19.81 inference(transitivity,[status(thm)],[988, 986, 1067, 982, 943, 981, 978, 975, 963, 2957, 940, 938, 935, 932, 929, 926, 923, 888, 882, 880, 3009, 2192, 3008, 1335, 3007])).
% 19.59/19.81 tff(3094,plain,
% 19.59/19.81 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c3, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3093])).
% 19.59/19.81 tff(3095,plain,
% 19.59/19.81 (multiply(sk_c2, sk_c3) = multiply(sk_c3, sk_c2)),
% 19.59/19.81 inference(transitivity,[status(thm)],[1015, 1061, 1024, 1039, 1042, 1046, 937, 1060, 1059, 1052, 974, 977, 980, 944, 941, 1066, 1573, 987])).
% 19.59/19.81 tff(3096,plain,
% 19.59/19.81 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3095])).
% 19.59/19.81 tff(3097,plain,
% 19.59/19.81 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, multiply(multiply(sk_c2, sk_c8), sk_c6)))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[1049, 1557])).
% 19.59/19.81 tff(3098,plain,
% 19.59/19.81 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c8),
% 19.59/19.81 inference(transitivity,[status(thm)],[3097, 3096, 3094, 3092, 2177, 1551, 3088, 3086, 3085, 1533, 3082, 1516, 3077, 988, 986, 1067, 982, 943, 981, 978, 975, 963, 2957, 940, 938, 935, 932, 929, 926, 923, 888, 882, 880])).
% 19.59/19.81 tff(3099,plain,
% 19.59/19.81 ((multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7) <=> (sk_c8 = inverse(sk_c8))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3098, 324])).
% 19.59/19.81 tff(3100,plain,
% 19.59/19.81 ((multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7) <=> (inverse(sk_c8) = sk_c8)),
% 19.59/19.81 inference(transitivity,[status(thm)],[3099, 1337])).
% 19.59/19.81 tff(3101,plain,
% 19.59/19.81 ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)),
% 19.59/19.81 inference(symmetry,[status(thm)],[3100])).
% 19.59/19.81 tff(3102,plain,
% 19.59/19.81 (sk_c2 = inverse(sk_c8)),
% 19.59/19.81 inference(transitivity,[status(thm)],[102, 1054, 3073, 1236, 3072, 3071, 623, 1190, 967, 1189, 1186, 1183, 1181, 310, 324])).
% 19.59/19.81 tff(3103,plain,
% 19.59/19.81 (inverse(sk_c1) = sk_c8),
% 19.59/19.81 inference(transitivity,[status(thm)],[2946, 426])).
% 19.59/19.81 tff(3104,plain,
% 19.59/19.81 ((inverse(sk_c1) = sk_c2) <=> (sk_c8 = inverse(sk_c8))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3103, 3102])).
% 19.59/19.81 tff(3105,plain,
% 19.59/19.81 ((inverse(sk_c1) = sk_c2) <=> (inverse(sk_c8) = sk_c8)),
% 19.59/19.81 inference(transitivity,[status(thm)],[3104, 1337])).
% 19.59/19.81 tff(3106,plain,
% 19.59/19.81 ((inverse(sk_c1) = sk_c2) <=> (multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)),
% 19.59/19.81 inference(transitivity,[status(thm)],[3105, 3101])).
% 19.59/19.81 tff(3107,plain,
% 19.59/19.81 (multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7),
% 19.59/19.81 inference(modus_ponens,[status(thm)],[2947, 3106])).
% 19.59/19.81 tff(3108,plain,
% 19.59/19.81 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))),
% 19.59/19.81 inference(rewrite,[status(thm)],[])).
% 19.59/19.81 tff(3109,plain,
% 19.59/19.81 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))),
% 19.59/19.81 inference(rewrite,[status(thm)],[])).
% 19.59/19.81 tff(3110,plain,
% 19.59/19.81 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8))))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3109])).
% 19.59/19.81 tff(3111,plain,
% 19.59/19.81 (((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))),
% 19.59/19.81 inference(transitivity,[status(thm)],[3110, 3108])).
% 19.59/19.81 tff(3112,plain,
% 19.59/19.81 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8)))),
% 19.59/19.81 inference(quant_inst,[status(thm)],[])).
% 19.59/19.81 tff(3113,plain,
% 19.59/19.81 ((~![X6: $i, X4: $i, X3: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c8)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X4, inverse(X4)) = sk_c8)) | (~(inverse(X3) = sk_c8)) | (~(multiply(sk_c8, multiply(X3, sk_c8)) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c8)) | (~(multiply(inverse(X4), sk_c7) = sk_c8)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8))),
% 19.59/19.81 inference(modus_ponens,[status(thm)],[3112, 3111])).
% 19.59/19.81 tff(3114,plain,
% 19.59/19.81 ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8))),
% 19.59/19.81 inference(unit_resolution,[status(thm)],[3113, 390])).
% 19.59/19.81 tff(3115,plain,
% 19.59/19.81 ((~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c8)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8))),
% 19.59/19.81 inference(unit_resolution,[status(thm)],[3114, 323])).
% 19.59/19.81 tff(3116,plain,
% 19.59/19.81 ((~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c2, sk_c8)) = sk_c7)) | (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)) | (~(multiply(inverse(sk_c8), sk_c7) = sk_c8))),
% 19.59/19.81 inference(unit_resolution,[status(thm)],[3115, 880])).
% 19.59/19.81 tff(3117,plain,
% 19.59/19.81 (~(multiply(sk_c8, inverse(sk_c8)) = sk_c8)),
% 19.59/19.81 inference(unit_resolution,[status(thm)],[3116, 3107, 3076, 3070])).
% 19.59/19.81 tff(3118,plain,
% 19.59/19.81 (~(multiply(sk_c8, multiply(multiply(sk_c3, sk_c2), sk_c8)) = sk_c7)),
% 19.59/19.81 inference(modus_ponens,[status(thm)],[3117, 3063])).
% 19.59/19.81 tff(3119,plain,
% 19.59/19.81 ((multiply(sk_c3, inverse(sk_c3)) = sk_c8) <=> (multiply(sk_c8, multiply(multiply(sk_c3, sk_c2), sk_c8)) = sk_c7)),
% 19.59/19.81 inference(transitivity,[status(thm)],[3037, 1073])).
% 19.59/19.81 tff(3120,plain,
% 19.59/19.81 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.59/19.81 inference(transitivity,[status(thm)],[3001, 1238, 1237, 1234, 1053, 44, 2948, 2946, 426, 883, 1048, 887, 922, 925, 928, 931, 934, 937, 1060, 1059, 1052, 974, 977, 980])).
% 19.59/19.81 tff(3121,plain,
% 19.59/19.81 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3120])).
% 19.59/19.81 tff(3122,plain,
% 19.59/19.81 (multiply(sk_c3, inverse(sk_c3)) = sk_c8),
% 19.59/19.81 inference(transitivity,[status(thm)],[1996, 2992, 3121, 1238, 1237, 1234, 1053, 44, 2948, 2946, 426])).
% 19.59/19.81 tff(3123,plain,
% 19.59/19.81 (multiply(sk_c8, multiply(multiply(sk_c3, sk_c2), sk_c8)) = sk_c7),
% 19.59/19.81 inference(modus_ponens,[status(thm)],[3122, 3119])).
% 19.59/19.81 tff(3124,plain,
% 19.59/19.81 ($false),
% 19.59/19.81 inference(unit_resolution,[status(thm)],[3123, 3118])).
% 19.59/19.81 tff(3125,plain,(~(inverse(sk_c1) = sk_c2)), inference(lemma,lemma(discharge,[]))).
% 19.59/19.81 tff(3126,plain,
% 19.59/19.81 (((inverse(sk_c1) = sk_c2) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c1) = sk_c2) | (inverse(sk_c5) = sk_c8))),
% 19.59/19.81 inference(rewrite,[status(thm)],[])).
% 19.59/19.81 tff(3127,axiom,((inverse(sk_c1) = sk_c2) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 19.59/19.81 tff(3128,plain,
% 19.59/19.81 ((inverse(sk_c1) = sk_c2) | (inverse(sk_c5) = sk_c8)),
% 19.59/19.81 inference(modus_ponens,[status(thm)],[3127, 3126])).
% 19.59/19.81 tff(3129,plain,
% 19.59/19.81 (inverse(sk_c5) = sk_c8),
% 19.59/19.81 inference(unit_resolution,[status(thm)],[3128, 3125])).
% 19.59/19.81 tff(3130,plain,
% 19.59/19.81 (sk_c8 = inverse(sk_c5)),
% 19.59/19.81 inference(symmetry,[status(thm)],[3129])).
% 19.59/19.81 tff(3131,plain,
% 19.59/19.81 (multiply(sk_c3, sk_c2) = inverse(sk_c5)),
% 19.59/19.81 inference(transitivity,[status(thm)],[988, 986, 984, 982, 943, 981, 978, 975, 963, 961, 940, 938, 935, 932, 929, 926, 923, 888, 882, 880, 3130])).
% 19.59/19.81 tff(3132,plain,
% 19.59/19.81 (multiply(multiply(sk_c3, sk_c2), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3131])).
% 19.59/19.81 tff(3133,plain,
% 19.59/19.81 (multiply(multiply(sk_c3, sk_c2), sk_c5) = multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))),
% 19.59/19.81 inference(transitivity,[status(thm)],[3132, 345, 167, 885])).
% 19.59/19.81 tff(3134,plain,
% 19.59/19.81 (multiply(multiply(multiply(sk_c3, sk_c2), sk_c5), multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3133, 994])).
% 19.59/19.81 tff(3135,plain,
% 19.59/19.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c2), sk_c5), multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c5, multiply(sk_c3, sk_c2))))),
% 19.59/19.81 inference(quant_inst,[status(thm)],[])).
% 19.59/19.81 tff(3136,plain,
% 19.59/19.81 (multiply(multiply(multiply(sk_c3, sk_c2), sk_c5), multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c5, multiply(sk_c3, sk_c2)))),
% 19.59/19.81 inference(unit_resolution,[status(thm)],[3135, 52])).
% 19.59/19.81 tff(3137,plain,
% 19.59/19.81 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c5, multiply(sk_c3, sk_c2))) = multiply(multiply(multiply(sk_c3, sk_c2), sk_c5), multiply(sk_c3, sk_c2))),
% 19.59/19.81 inference(symmetry,[status(thm)],[3136])).
% 19.59/19.81 tff(3138,plain,
% 19.59/19.81 (multiply(sk_c3, sk_c2) = sk_c8),
% 19.59/19.81 inference(transitivity,[status(thm)],[988, 986, 984, 982, 943, 981, 978, 975, 963, 961, 940, 938, 935, 932, 929, 926, 923, 888, 882, 880])).
% 19.59/19.81 tff(3139,plain,
% 19.59/19.81 (multiply(sk_c5, multiply(sk_c3, sk_c2)) = multiply(sk_c5, sk_c8)),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3138])).
% 19.59/19.81 tff(3140,plain,
% 19.59/19.81 (multiply(sk_c5, sk_c8) = multiply(sk_c5, multiply(sk_c3, sk_c2))),
% 19.59/19.81 inference(symmetry,[status(thm)],[3139])).
% 19.59/19.81 tff(3141,plain,
% 19.59/19.81 (((inverse(sk_c1) = sk_c2) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c1) = sk_c2) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 19.59/19.81 inference(rewrite,[status(thm)],[])).
% 19.59/19.81 tff(3142,axiom,((inverse(sk_c1) = sk_c2) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 19.59/19.81 tff(3143,plain,
% 19.59/19.81 ((inverse(sk_c1) = sk_c2) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 19.59/19.81 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 19.59/19.81 tff(3144,plain,
% 19.59/19.81 (multiply(sk_c5, sk_c8) = sk_c6),
% 19.59/19.81 inference(unit_resolution,[status(thm)],[3143, 3125])).
% 19.59/19.81 tff(3145,plain,
% 19.59/19.81 (sk_c6 = multiply(sk_c5, sk_c8)),
% 19.59/19.81 inference(symmetry,[status(thm)],[3144])).
% 19.59/19.81 tff(3146,plain,
% 19.59/19.81 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), sk_c6)),
% 19.59/19.81 inference(monotonicity,[status(thm)],[1170])).
% 19.59/19.81 tff(3147,plain,
% 19.59/19.81 (multiply(multiply(sk_c7, multiply(sk_c2, sk_c7)), sk_c6) = multiply(identity, sk_c6)),
% 19.59/19.81 inference(symmetry,[status(thm)],[3146])).
% 19.59/19.81 tff(3148,plain,
% 19.59/19.81 (multiply(sk_c3, sk_c2) = inverse(sk_c4)),
% 19.59/19.81 inference(transitivity,[status(thm)],[988, 986, 984, 982, 943, 981, 978, 975, 963, 961, 940, 938, 935, 932, 929, 926, 923, 888, 882, 880, 2080])).
% 19.59/19.81 tff(3149,plain,
% 19.59/19.81 (multiply(multiply(sk_c3, sk_c2), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3148])).
% 19.59/19.81 tff(3150,plain,
% 19.59/19.81 (multiply(multiply(sk_c3, sk_c2), sk_c4) = multiply(multiply(sk_c7, sk_c2), inverse(sk_c8))),
% 19.59/19.81 inference(transitivity,[status(thm)],[3149, 409, 167, 885, 458])).
% 19.59/19.81 tff(3151,plain,
% 19.59/19.81 (multiply(multiply(multiply(sk_c3, sk_c2), sk_c4), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3)),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3150, 916])).
% 19.59/19.81 tff(3152,plain,
% 19.59/19.81 (multiply(multiply(multiply(sk_c7, sk_c2), inverse(sk_c8)), sk_c3) = multiply(multiply(multiply(sk_c3, sk_c2), sk_c4), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.81 inference(symmetry,[status(thm)],[3151])).
% 19.59/19.81 tff(3153,plain,
% 19.59/19.81 (sk_c3 = multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7))),
% 19.59/19.81 inference(transitivity,[status(thm)],[718, 893, 3152, 2086, 2996])).
% 19.59/19.81 tff(3154,plain,
% 19.59/19.81 (multiply(sk_c3, sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7)))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[904, 3153])).
% 19.59/19.81 tff(3155,plain,
% 19.59/19.81 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(multiply(sk_c3, sk_c2), multiply(sk_c4, sk_c7))) = multiply(sk_c3, sk_c3)),
% 19.59/19.81 inference(symmetry,[status(thm)],[3154])).
% 19.59/19.81 tff(3156,plain,
% 19.59/19.81 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = sk_c8),
% 19.59/19.81 inference(transitivity,[status(thm)],[981, 978, 975, 963, 961, 940, 938, 935, 932, 929, 926, 923, 888, 882, 880])).
% 19.59/19.81 tff(3157,plain,
% 19.59/19.81 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(sk_c3, sk_c8)),
% 19.59/19.81 inference(monotonicity,[status(thm)],[916, 3156])).
% 19.59/19.81 tff(3158,plain,
% 19.59/19.81 (multiply(sk_c3, sk_c2) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.59/19.81 inference(transitivity,[status(thm)],[988, 986, 984, 982, 943])).
% 19.59/19.81 tff(3159,plain,
% 19.59/19.81 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3158])).
% 19.59/19.81 tff(3160,plain,
% 19.59/19.81 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)) = identity),
% 19.59/19.81 inference(transitivity,[status(thm)],[3159, 3157, 2972, 1326, 2975, 898, 166])).
% 19.59/19.81 tff(3161,plain,
% 19.59/19.81 (multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)), multiply(sk_c4, sk_c7)) = multiply(identity, multiply(sk_c4, sk_c7))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3160])).
% 19.59/19.81 tff(3162,plain,
% 19.59/19.81 (multiply(identity, multiply(sk_c4, sk_c7)) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), multiply(sk_c3, sk_c2)), multiply(sk_c4, sk_c7))),
% 19.59/19.81 inference(symmetry,[status(thm)],[3161])).
% 19.59/19.81 tff(3163,plain,
% 19.59/19.81 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(sk_c5, multiply(sk_c3, sk_c2))),
% 19.59/19.81 inference(transitivity,[status(thm)],[981, 978, 975, 963, 961, 940, 938, 935, 932, 929, 926, 923, 888, 882, 880, 3009, 2192, 3162, 1335, 3155, 2956, 1213, 2955, 1142, 1140, 2954, 1407, 2952, 3090, 1566, 3089, 2462, 2461, 3147, 2034, 3145, 3140])).
% 19.59/19.81 tff(3164,plain,
% 19.59/19.81 (multiply(sk_c8, multiply(sk_c6, sk_c2)) = multiply(sk_c3, sk_c2)),
% 19.59/19.81 inference(transitivity,[status(thm)],[944, 941, 983, 1573, 987])).
% 19.59/19.81 tff(3165,plain,
% 19.59/19.81 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c5, multiply(sk_c3, sk_c2)))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[3164, 3163])).
% 19.59/19.81 tff(3166,plain,
% 19.59/19.81 (multiply(inverse(sk_c8), sk_c3) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.59/19.81 inference(transitivity,[status(thm)],[1217, 1214, 1211, 3154, 1336, 3161, 1259, 2989, 883, 1048, 887, 922, 925, 928, 931, 934, 937, 1060, 960, 1052, 974, 977, 980])).
% 19.59/19.81 tff(3167,plain,
% 19.59/19.81 (multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.81 inference(monotonicity,[status(thm)],[1106, 3166])).
% 19.59/19.81 tff(3168,plain,
% 19.59/19.81 (inverse(sk_c8) = sk_c8),
% 19.59/19.81 inference(transitivity,[status(thm)],[323, 311, 1180, 1182, 1185, 1188, 968, 965, 468, 3167, 3165, 3137, 3134, 992, 989, 988, 986, 984, 982, 943, 981, 978, 975, 963, 961, 940, 938, 935, 932, 929, 926, 923, 888, 882, 880])).
% 19.59/19.82 tff(3169,plain,
% 19.59/19.82 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.59/19.82 inference(symmetry,[status(thm)],[3167])).
% 19.59/19.82 tff(3170,plain,
% 19.59/19.82 (sk_c2 = inverse(sk_c8)),
% 19.59/19.82 inference(transitivity,[status(thm)],[102, 950, 1759, 1236, 1761, 3169, 623, 1190, 967, 1189, 1186, 1183, 1181, 310, 324])).
% 19.59/19.82 tff(3171,plain,
% 19.59/19.82 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = multiply(identity, sk_c2)),
% 19.59/19.82 inference(symmetry,[status(thm)],[950])).
% 19.59/19.82 tff(3172,plain,
% 19.59/19.82 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2) = sk_c2),
% 19.59/19.82 inference(transitivity,[status(thm)],[3171, 44])).
% 19.59/19.82 tff(3173,plain,
% 19.59/19.82 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), sk_c2)),
% 19.59/19.82 inference(monotonicity,[status(thm)],[3172])).
% 19.59/19.82 tff(3174,plain,
% 19.59/19.82 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), sk_c2) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c6)), multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c2))),
% 19.59/19.82 inference(symmetry,[status(thm)],[3173])).
% 19.59/19.82 tff(3175,plain,
% 19.59/19.82 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2))) = sk_c2),
% 19.59/19.82 inference(transitivity,[status(thm)],[946, 1121, 952, 1120, 957, 3171, 44])).
% 19.59/19.82 tff(3176,plain,
% 19.59/19.82 (multiply(multiply(sk_c2, multiply(multiply(sk_c7, sk_c6), inverse(sk_c2))), multiply(multiply(sk_c2, sk_c3), multiply(sk_c8, multiply(sk_c6, sk_c2)))) = multiply(multiply(sk_c7, inverse(sk_c2)), sk_c2)),
% 19.59/19.82 inference(monotonicity,[status(thm)],[1132, 3175])).
% 19.59/19.82 tff(3177,plain,
% 19.59/19.82 (multiply(sk_c7, multiply(sk_c6, sk_c2)) = multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))),
% 19.59/19.82 inference(transitivity,[status(thm)],[1176, 1164, 1161, 1159, 1156, 1149, 1135, 3176, 701, 1119, 626])).
% 19.59/19.82 tff(3178,plain,
% 19.59/19.82 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.82 inference(monotonicity,[status(thm)],[3177])).
% 19.59/19.82 tff(3179,plain,
% 19.59/19.82 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c7, multiply(sk_c6, sk_c2)))),
% 19.59/19.82 inference(symmetry,[status(thm)],[3178])).
% 19.59/19.82 tff(3180,plain,
% 19.59/19.82 (multiply(sk_c2, sk_c3) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.59/19.82 inference(transitivity,[status(thm)],[1015, 1061, 1024, 1039, 1042, 1046, 937, 1060, 960, 1052, 974, 977, 980])).
% 19.59/19.82 tff(3181,plain,
% 19.59/19.82 (multiply(multiply(sk_c2, sk_c3), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(sk_c8, multiply(sk_c6, sk_c2)))),
% 19.59/19.82 inference(monotonicity,[status(thm)],[3180, 3180])).
% 19.59/19.82 tff(3182,plain,
% 19.59/19.82 (multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)) = sk_c2),
% 19.59/19.82 inference(transitivity,[status(thm)],[1245, 1243, 1242, 1239, 1050, 3181, 1762, 1237, 1760, 3171, 44])).
% 19.59/19.82 tff(3183,plain,
% 19.59/19.82 (multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3))) = multiply(sk_c1, sk_c2)),
% 19.59/19.82 inference(monotonicity,[status(thm)],[3182])).
% 19.59/19.82 tff(3184,plain,
% 19.59/19.82 (multiply(sk_c1, sk_c2) = multiply(sk_c1, multiply(sk_c2, multiply(multiply(sk_c2, sk_c3), sk_c3)))),
% 19.59/19.82 inference(symmetry,[status(thm)],[3183])).
% 19.59/19.82 tff(3185,plain,
% 19.59/19.82 (multiply(sk_c1, sk_c2) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7)),
% 19.59/19.82 inference(transitivity,[status(thm)],[3184, 1231, 1228, 1223, 1220, 1210, 1207, 1203, 1200])).
% 19.59/19.82 tff(3186,plain,
% 19.59/19.82 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), sk_c7)),
% 19.59/19.82 inference(monotonicity,[status(thm)],[3185, 1191])).
% 19.59/19.82 tff(3187,plain,
% 19.59/19.82 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), sk_c7) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.82 inference(symmetry,[status(thm)],[3186])).
% 19.59/19.82 tff(3188,plain,
% 19.59/19.82 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7) = multiply(sk_c8, multiply(sk_c6, sk_c2))),
% 19.59/19.82 inference(transitivity,[status(thm)],[1199, 1202, 1206, 1209, 1219, 1222, 1227, 1230, 3183, 2903, 883, 1048, 887, 922, 925, 928, 931, 934, 937, 1060, 960, 1052, 974, 977, 980])).
% 19.59/19.82 tff(3189,plain,
% 19.59/19.82 (multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), sk_c7) = multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)))),
% 19.59/19.82 inference(monotonicity,[status(thm)],[3188, 1252])).
% 19.59/19.82 tff(3190,plain,
% 19.59/19.82 (multiply(multiply(sk_c8, multiply(sk_c6, sk_c2)), multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3))) = multiply(multiply(multiply(multiply(sk_c1, sk_c2), multiply(sk_c2, sk_c3)), sk_c7), sk_c7)),
% 19.59/19.82 inference(symmetry,[status(thm)],[3189])).
% 19.59/19.82 tff(3191,plain,
% 19.59/19.82 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(sk_c1, sk_c3), sk_c2)),
% 19.59/19.82 inference(transitivity,[status(thm)],[898, 166, 99, 2915, 2706, 2909, 3190, 3187, 3179, 1117, 1115, 1108, 1105, 1102, 3174, 1097, 1094])).
% 19.59/19.82 tff(3192,plain,
% 19.59/19.82 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(multiply(sk_c1, sk_c3), sk_c2))),
% 19.59/19.82 inference(monotonicity,[status(thm)],[3191])).
% 19.59/19.82 tff(3193,plain,
% 19.59/19.82 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(multiply(sk_c1, sk_c3), sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.82 inference(symmetry,[status(thm)],[3192])).
% 19.59/19.82 tff(3194,plain,
% 19.59/19.82 (multiply(sk_c2, sk_c3) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)),
% 19.59/19.82 inference(transitivity,[status(thm)],[1015, 1061, 1024, 1039, 1042, 1046, 937, 1060, 960, 1052, 974, 977, 980, 944, 941, 983, 1573, 987, 994])).
% 19.59/19.82 tff(3195,plain,
% 19.59/19.82 (multiply(sk_c1, multiply(sk_c2, sk_c3)) = multiply(sk_c1, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2))),
% 19.59/19.82 inference(monotonicity,[status(thm)],[3194])).
% 19.59/19.82 tff(3196,plain,
% 19.59/19.82 (multiply(sk_c1, multiply(multiply(multiply(sk_c7, sk_c2), multiply(inverse(sk_c8), sk_c3)), sk_c2)) = multiply(sk_c1, multiply(sk_c2, sk_c3))),
% 19.59/19.82 inference(symmetry,[status(thm)],[3195])).
% 19.59/19.82 tff(3197,plain,
% 19.59/19.82 (multiply(multiply(sk_c1, sk_c3), sk_c2) = multiply(sk_c1, multiply(sk_c2, sk_c7))),
% 19.59/19.82 inference(transitivity,[status(thm)],[2930, 2927, 3196, 2922, 2920])).
% 19.59/19.82 tff(3198,plain,
% 19.59/19.82 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(multiply(sk_c1, sk_c3), sk_c2)) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, multiply(sk_c2, sk_c7)))),
% 19.59/19.82 inference(monotonicity,[status(thm)],[3197])).
% 19.59/19.82 tff(3199,plain,
% 19.59/19.82 (multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c1, multiply(sk_c2, sk_c7))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(multiply(sk_c1, sk_c3), sk_c2))),
% 19.59/19.82 inference(symmetry,[status(thm)],[3198])).
% 19.59/19.82 tff(3200,plain,
% 19.59/19.82 (multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))) = multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))))),
% 19.59/19.82 inference(transitivity,[status(thm)],[2976, 1327, 2973, 2938, 2935, 3199, 3193])).
% 19.59/19.82 tff(3201,plain,
% 19.59/19.82 (multiply(multiply(sk_c7, multiply(sk_c2, inverse(sk_c8))), sk_c1) = multiply(multiply(multiply(multiply(sk_c7, sk_c2), multiply(multiply(inverse(sk_c8), sk_c3), inverse(sk_c1))), multiply(sk_c7, multiply(sk_c2, inverse(sk_c8)))), sk_c1)),
% 19.65/19.85 inference(monotonicity,[status(thm)],[3200])).
% 19.65/19.85 tff(3202,plain,
% 19.65/19.85 (sk_c1 = sk_c3),
% 19.65/19.85 inference(transitivity,[status(thm)],[2944, 1076, 3201, 1081, 1079, 1009, 1012, 626, 623, 894, 61])).
% 19.65/19.85 tff(3203,plain,
% 19.65/19.85 (inverse(sk_c1) = inverse(sk_c3)),
% 19.65/19.85 inference(monotonicity,[status(thm)],[3202])).
% 19.65/19.85 tff(3204,plain,
% 19.65/19.85 (inverse(sk_c1) = sk_c8),
% 19.65/19.85 inference(transitivity,[status(thm)],[3203, 426])).
% 19.65/19.85 tff(3205,plain,
% 19.65/19.85 ((inverse(sk_c1) = sk_c2) <=> (sk_c8 = inverse(sk_c8))),
% 19.65/19.85 inference(monotonicity,[status(thm)],[3204, 3170])).
% 19.65/19.85 tff(3206,plain,
% 19.65/19.85 ((inverse(sk_c1) = sk_c2) <=> (inverse(sk_c8) = sk_c8)),
% 19.65/19.85 inference(transitivity,[status(thm)],[3205, 1337])).
% 19.65/19.85 tff(3207,plain,
% 19.65/19.85 ((~(inverse(sk_c1) = sk_c2)) <=> (~(inverse(sk_c8) = sk_c8))),
% 19.65/19.85 inference(monotonicity,[status(thm)],[3206])).
% 19.65/19.85 tff(3208,plain,
% 19.65/19.85 (~(inverse(sk_c8) = sk_c8)),
% 19.65/19.85 inference(modus_ponens,[status(thm)],[3125, 3207])).
% 19.65/19.85 tff(3209,plain,
% 19.65/19.85 ($false),
% 19.65/19.85 inference(unit_resolution,[status(thm)],[3208, 3168])).
% 19.65/19.85 % SZS output end Proof
% 19.65/19.85 % E exiting
%------------------------------------------------------------------------------