TSTP Solution File: GRP213-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP213-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 : Fri Sep 16 22:26:48 EDT 2022
% Result : Unsatisfiable 211.93s 134.64s
% Output : Proof 212.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP213-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 15:48:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 211.93/134.64 % SZS status Unsatisfiable
% 211.93/134.64 % SZS output start Proof
% 211.93/134.64 tff(sk_c8_type, type, (
% 211.93/134.64 sk_c8: $i)).
% 211.93/134.64 tff(multiply_type, type, (
% 211.93/134.64 multiply: ( $i * $i ) > $i)).
% 211.93/134.64 tff(sk_c3_type, type, (
% 211.93/134.64 sk_c3: $i)).
% 211.93/134.64 tff(sk_c2_type, type, (
% 211.93/134.64 sk_c2: $i)).
% 211.93/134.64 tff(sk_c6_type, type, (
% 211.93/134.64 sk_c6: $i)).
% 211.93/134.64 tff(identity_type, type, (
% 211.93/134.64 identity: $i)).
% 211.93/134.64 tff(sk_c1_type, type, (
% 211.93/134.64 sk_c1: $i)).
% 211.93/134.64 tff(inverse_type, type, (
% 211.93/134.64 inverse: $i > $i)).
% 211.93/134.64 tff(sk_c7_type, type, (
% 211.93/134.64 sk_c7: $i)).
% 211.93/134.64 tff(sk_c5_type, type, (
% 211.93/134.64 sk_c5: $i)).
% 211.93/134.64 tff(sk_c4_type, type, (
% 211.93/134.64 sk_c4: $i)).
% 211.93/134.64 tff(1,plain,
% 211.93/134.64 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 211.93/134.64 inference(bind,[status(th)],[])).
% 211.93/134.64 tff(2,plain,
% 211.93/134.64 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 211.93/134.64 inference(quant_intro,[status(thm)],[1])).
% 211.93/134.64 tff(3,plain,
% 211.93/134.64 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 211.93/134.64 inference(rewrite,[status(thm)],[])).
% 211.93/134.64 tff(4,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 211.93/134.64 tff(5,plain,
% 211.93/134.64 (![X: $i] : (multiply(identity, X) = X)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[4, 3])).
% 211.93/134.64 tff(6,plain,(
% 211.93/134.64 ![X: $i] : (multiply(identity, X) = X)),
% 211.93/134.64 inference(skolemize,[status(sab)],[5])).
% 211.93/134.64 tff(7,plain,
% 211.93/134.64 (![X: $i] : (multiply(identity, X) = X)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[6, 2])).
% 211.93/134.64 tff(8,plain,
% 211.93/134.64 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = multiply(sk_c6, multiply(sk_c2, sk_c3)))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(9,plain,
% 211.93/134.64 (multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = multiply(sk_c6, multiply(sk_c2, sk_c3))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[8, 7])).
% 211.93/134.64 tff(10,plain,
% 211.93/134.64 ((multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8) <=> (multiply(sk_c6, multiply(sk_c2, sk_c3)) = sk_c8)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[9])).
% 211.93/134.64 tff(11,plain,
% 211.93/134.64 ((multiply(sk_c6, multiply(sk_c2, sk_c3)) = sk_c8) <=> (multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8)),
% 211.93/134.64 inference(symmetry,[status(thm)],[10])).
% 211.93/134.64 tff(12,plain,
% 211.93/134.64 (^[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))))),
% 211.93/134.64 inference(bind,[status(th)],[])).
% 211.93/134.64 tff(13,plain,
% 211.93/134.64 (![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)))),
% 211.93/134.64 inference(quant_intro,[status(thm)],[12])).
% 211.93/134.64 tff(14,plain,
% 211.93/134.64 (![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)))),
% 211.93/134.64 inference(rewrite,[status(thm)],[])).
% 211.93/134.64 tff(15,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')).
% 211.93/134.64 tff(16,plain,
% 211.93/134.64 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[15, 14])).
% 211.93/134.64 tff(17,plain,(
% 211.93/134.64 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 211.93/134.64 inference(skolemize,[status(sab)],[16])).
% 211.93/134.64 tff(18,plain,
% 211.93/134.64 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[17, 13])).
% 211.93/134.64 tff(19,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c2), sk_c3) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(20,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), sk_c2), sk_c3) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[19, 18])).
% 211.93/134.64 tff(21,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(multiply(inverse(sk_c8), sk_c2), sk_c3)),
% 211.93/134.64 inference(symmetry,[status(thm)],[20])).
% 211.93/134.64 tff(22,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[21])).
% 211.93/134.64 tff(23,plain,
% 211.93/134.64 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1)),
% 211.93/134.64 inference(symmetry,[status(thm)],[22])).
% 211.93/134.64 tff(24,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(25,plain,
% 211.93/134.64 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[24, 18])).
% 211.93/134.64 tff(26,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1)),
% 211.93/134.64 inference(symmetry,[status(thm)],[25])).
% 211.93/134.64 tff(27,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(28,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[27, 18])).
% 211.93/134.64 tff(29,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))),
% 211.93/134.64 inference(symmetry,[status(thm)],[28])).
% 211.93/134.64 tff(30,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c3), sk_c1) = multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(31,plain,
% 211.93/134.64 (multiply(multiply(sk_c2, sk_c3), sk_c1) = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[30, 18])).
% 211.93/134.64 tff(32,assumption,(~(inverse(sk_c8) = sk_c7)), introduced(assumption)).
% 211.93/134.64 tff(33,plain,
% 211.93/134.64 (((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c8) = sk_c7)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c8) = sk_c7))),
% 211.93/134.64 inference(rewrite,[status(thm)],[])).
% 211.93/134.64 tff(34,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_1')).
% 211.93/134.64 tff(35,plain,
% 211.93/134.64 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[34, 33])).
% 211.93/134.64 tff(36,plain,
% 211.93/134.64 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[35, 33])).
% 211.93/134.64 tff(37,plain,
% 211.93/134.64 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[36, 33])).
% 211.93/134.64 tff(38,plain,
% 211.93/134.64 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[37, 33])).
% 211.93/134.64 tff(39,plain,
% 211.93/134.64 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[38, 33])).
% 211.93/134.64 tff(40,plain,
% 211.93/134.64 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[39, 33])).
% 211.93/134.64 tff(41,plain,
% 211.93/134.64 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[40, 33])).
% 211.93/134.64 tff(42,plain,
% 211.93/134.64 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[41, 33])).
% 211.93/134.64 tff(43,plain,
% 211.93/134.64 (multiply(sk_c1, sk_c8) = sk_c7),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[42, 32])).
% 211.93/134.64 tff(44,plain,
% 211.93/134.64 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c3) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c3) = sk_c8))),
% 211.93/134.64 inference(rewrite,[status(thm)],[])).
% 211.93/134.64 tff(45,plain,
% 211.93/134.64 (((multiply(sk_c2, sk_c3) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c3) = sk_c8))),
% 211.93/134.64 inference(rewrite,[status(thm)],[])).
% 211.93/134.64 tff(46,axiom,((multiply(sk_c2, sk_c3) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_13')).
% 211.93/134.64 tff(47,plain,
% 211.93/134.64 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c3) = sk_c8)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[46, 45])).
% 211.93/134.64 tff(48,plain,
% 211.93/134.64 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c2, sk_c3) = sk_c8)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[47, 44])).
% 211.93/134.64 tff(49,plain,
% 211.93/134.64 (multiply(sk_c2, sk_c3) = sk_c8),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[48, 32])).
% 211.93/134.64 tff(50,plain,
% 211.93/134.64 (multiply(sk_c1, multiply(sk_c2, sk_c3)) = multiply(sk_c1, sk_c8)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[49])).
% 211.93/134.64 tff(51,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c2), sk_c3) = multiply(sk_c1, multiply(sk_c2, sk_c3)))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(52,plain,
% 211.93/134.64 (multiply(multiply(sk_c1, sk_c2), sk_c3) = multiply(sk_c1, multiply(sk_c2, sk_c3))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[51, 18])).
% 211.93/134.64 tff(53,plain,
% 211.93/134.64 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(54,plain,
% 211.93/134.64 (multiply(identity, sk_c3) = sk_c3),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[53, 7])).
% 211.93/134.64 tff(55,plain,
% 211.93/134.64 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(56,plain,
% 211.93/134.64 (multiply(identity, sk_c1) = sk_c1),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[55, 7])).
% 211.93/134.64 tff(57,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(inverse(sk_c8), sk_c8)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[49])).
% 211.93/134.64 tff(58,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.64 inference(symmetry,[status(thm)],[57])).
% 211.93/134.64 tff(59,plain,
% 211.93/134.64 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 211.93/134.64 inference(bind,[status(th)],[])).
% 211.93/134.64 tff(60,plain,
% 211.93/134.64 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 211.93/134.64 inference(quant_intro,[status(thm)],[59])).
% 211.93/134.64 tff(61,plain,
% 211.93/134.64 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 211.93/134.64 inference(rewrite,[status(thm)],[])).
% 211.93/134.64 tff(62,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 211.93/134.64 tff(63,plain,
% 211.93/134.64 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[62, 61])).
% 211.93/134.64 tff(64,plain,(
% 211.93/134.64 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 211.93/134.64 inference(skolemize,[status(sab)],[63])).
% 211.93/134.64 tff(65,plain,
% 211.93/134.64 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[64, 60])).
% 211.93/134.64 tff(66,plain,
% 211.93/134.64 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c8), sk_c8) = identity)),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(67,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), sk_c8) = identity),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[66, 65])).
% 211.93/134.64 tff(68,plain,
% 211.93/134.64 (identity = multiply(inverse(sk_c8), sk_c8)),
% 211.93/134.64 inference(symmetry,[status(thm)],[67])).
% 211.93/134.64 tff(69,plain,
% 211.93/134.64 (identity = multiply(multiply(inverse(sk_c8), sk_c2), sk_c3)),
% 211.93/134.64 inference(transitivity,[status(thm)],[68, 58, 21])).
% 211.93/134.64 tff(70,plain,
% 211.93/134.64 (multiply(identity, sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[69])).
% 211.93/134.64 tff(71,plain,
% 211.93/134.64 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1) = multiply(identity, sk_c1)),
% 211.93/134.64 inference(symmetry,[status(thm)],[70])).
% 211.93/134.64 tff(72,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)) = sk_c1),
% 211.93/134.64 inference(transitivity,[status(thm)],[26, 71, 56])).
% 211.93/134.64 tff(73,plain,
% 211.93/134.64 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c2) = multiply(sk_c1, sk_c2)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[72])).
% 211.93/134.64 tff(74,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c2) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(75,plain,
% 211.93/134.64 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c2) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[74, 18])).
% 211.93/134.64 tff(76,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c2)),
% 211.93/134.64 inference(symmetry,[status(thm)],[75])).
% 211.93/134.64 tff(77,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)) = multiply(sk_c1, sk_c2)),
% 211.93/134.64 inference(transitivity,[status(thm)],[76, 73])).
% 211.93/134.64 tff(78,plain,
% 211.93/134.64 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)), multiply(identity, sk_c3)) = multiply(multiply(sk_c1, sk_c2), sk_c3)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[77, 54])).
% 211.93/134.64 tff(79,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)), identity), sk_c3) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)), multiply(identity, sk_c3)))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(80,plain,
% 211.93/134.64 (multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)), identity), sk_c3) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)), multiply(identity, sk_c3))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[79, 18])).
% 211.93/134.64 tff(81,plain,
% 211.93/134.64 (((inverse(sk_c2) = sk_c3) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c2) = sk_c3) | (inverse(sk_c8) = sk_c7))),
% 211.93/134.64 inference(rewrite,[status(thm)],[])).
% 211.93/134.64 tff(82,axiom,((inverse(sk_c2) = sk_c3) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 211.93/134.64 tff(83,plain,
% 211.93/134.64 ((inverse(sk_c2) = sk_c3) | (inverse(sk_c8) = sk_c7)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[82, 81])).
% 211.93/134.64 tff(84,plain,
% 211.93/134.64 (inverse(sk_c2) = sk_c3),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[83, 32])).
% 211.93/134.64 tff(85,plain,
% 211.93/134.64 (sk_c3 = inverse(sk_c2)),
% 211.93/134.64 inference(symmetry,[status(thm)],[84])).
% 211.93/134.64 tff(86,plain,
% 211.93/134.64 (multiply(sk_c3, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[85])).
% 211.93/134.64 tff(87,plain,
% 211.93/134.64 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c3, sk_c2)),
% 211.93/134.64 inference(symmetry,[status(thm)],[86])).
% 211.93/134.64 tff(88,plain,
% 211.93/134.64 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(89,plain,
% 211.93/134.64 (multiply(inverse(sk_c2), sk_c2) = identity),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[88, 65])).
% 211.93/134.64 tff(90,plain,
% 211.93/134.64 (identity = multiply(inverse(sk_c2), sk_c2)),
% 211.93/134.64 inference(symmetry,[status(thm)],[89])).
% 211.93/134.64 tff(91,plain,
% 211.93/134.64 (identity = multiply(sk_c3, sk_c2)),
% 211.93/134.64 inference(transitivity,[status(thm)],[90, 87])).
% 211.93/134.64 tff(92,plain,
% 211.93/134.64 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c2) = sk_c2)),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(93,plain,
% 211.93/134.64 (multiply(identity, sk_c2) = sk_c2),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[92, 7])).
% 211.93/134.64 tff(94,plain,
% 211.93/134.64 (sk_c2 = multiply(identity, sk_c2)),
% 211.93/134.64 inference(symmetry,[status(thm)],[93])).
% 211.93/134.64 tff(95,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), sk_c2) = multiply(inverse(sk_c8), multiply(identity, sk_c2))),
% 211.93/134.64 inference(monotonicity,[status(thm)],[94])).
% 211.93/134.64 tff(96,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), multiply(identity, sk_c2)) = multiply(inverse(sk_c8), sk_c2)),
% 211.93/134.64 inference(symmetry,[status(thm)],[95])).
% 211.93/134.64 tff(97,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), identity), sk_c2) = multiply(inverse(sk_c8), multiply(identity, sk_c2)))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(98,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), identity), sk_c2) = multiply(inverse(sk_c8), multiply(identity, sk_c2))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[97, 18])).
% 211.93/134.64 tff(99,plain,
% 211.93/134.64 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7))),
% 211.93/134.64 inference(rewrite,[status(thm)],[])).
% 211.93/134.64 tff(100,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_7')).
% 211.93/134.64 tff(101,plain,
% 211.93/134.64 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 211.93/134.64 inference(modus_ponens,[status(thm)],[100, 99])).
% 211.93/134.64 tff(102,plain,
% 211.93/134.64 (inverse(sk_c1) = sk_c8),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[101, 32])).
% 211.93/134.64 tff(103,plain,
% 211.93/134.64 (sk_c8 = inverse(sk_c1)),
% 211.93/134.64 inference(symmetry,[status(thm)],[102])).
% 211.93/134.64 tff(104,plain,
% 211.93/134.64 (multiply(sk_c2, sk_c3) = inverse(sk_c1)),
% 211.93/134.64 inference(transitivity,[status(thm)],[49, 103])).
% 211.93/134.64 tff(105,plain,
% 211.93/134.64 (multiply(multiply(sk_c2, sk_c3), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[104])).
% 211.93/134.64 tff(106,plain,
% 211.93/134.64 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c2, sk_c3), sk_c1)),
% 211.93/134.64 inference(symmetry,[status(thm)],[105])).
% 211.93/134.64 tff(107,plain,
% 211.93/134.64 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(108,plain,
% 211.93/134.64 (multiply(inverse(sk_c1), sk_c1) = identity),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[107, 65])).
% 211.93/134.64 tff(109,plain,
% 211.93/134.64 (identity = multiply(inverse(sk_c1), sk_c1)),
% 211.93/134.64 inference(symmetry,[status(thm)],[108])).
% 211.93/134.64 tff(110,plain,
% 211.93/134.64 (identity = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 211.93/134.64 inference(transitivity,[status(thm)],[109, 106, 31])).
% 211.93/134.64 tff(111,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), identity) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.64 inference(monotonicity,[status(thm)],[110])).
% 211.93/134.64 tff(112,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), identity) = sk_c1),
% 211.93/134.64 inference(transitivity,[status(thm)],[111, 29, 26, 71, 56])).
% 211.93/134.64 tff(113,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), identity), sk_c2) = multiply(sk_c1, sk_c2)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[112])).
% 211.93/134.64 tff(114,plain,
% 211.93/134.64 (multiply(sk_c1, sk_c2) = multiply(multiply(inverse(sk_c8), identity), sk_c2)),
% 211.93/134.64 inference(symmetry,[status(thm)],[113])).
% 211.93/134.64 tff(115,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)) = multiply(inverse(sk_c8), sk_c2)),
% 211.93/134.64 inference(transitivity,[status(thm)],[76, 73, 114, 98, 96])).
% 211.93/134.64 tff(116,plain,
% 211.93/134.64 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)), identity) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c2))),
% 211.93/134.64 inference(monotonicity,[status(thm)],[115, 91])).
% 211.93/134.64 tff(117,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c2)) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)), identity)),
% 211.93/134.64 inference(symmetry,[status(thm)],[116])).
% 211.93/134.64 tff(118,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c2) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c2)))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(119,plain,
% 211.93/134.64 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c2) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c2))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[118, 18])).
% 211.93/134.64 tff(120,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), sk_c2), sk_c3) = identity),
% 211.93/134.64 inference(transitivity,[status(thm)],[20, 57, 67])).
% 211.93/134.64 tff(121,plain,
% 211.93/134.64 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c2) = multiply(identity, sk_c2)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[120])).
% 211.93/134.64 tff(122,plain,
% 211.93/134.64 (multiply(identity, sk_c2) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c2)),
% 211.93/134.64 inference(symmetry,[status(thm)],[121])).
% 211.93/134.64 tff(123,plain,
% 211.93/134.64 (sk_c2 = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)), identity)),
% 211.93/134.64 inference(transitivity,[status(thm)],[94, 122, 119, 117])).
% 211.93/134.64 tff(124,plain,
% 211.93/134.64 (multiply(sk_c2, sk_c3) = multiply(multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(multiply(sk_c3, sk_c1), sk_c2)), identity), sk_c3)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[123])).
% 211.93/134.64 tff(125,plain,
% 211.93/134.64 (sk_c8 = multiply(sk_c2, sk_c3)),
% 211.93/134.64 inference(symmetry,[status(thm)],[49])).
% 211.93/134.64 tff(126,plain,
% 211.93/134.64 (multiply(sk_c2, multiply(sk_c3, sk_c1)) = multiply(multiply(sk_c2, sk_c3), sk_c1)),
% 211.93/134.64 inference(symmetry,[status(thm)],[31])).
% 211.93/134.64 tff(127,plain,
% 211.93/134.64 (multiply(sk_c2, multiply(sk_c3, sk_c1)) = multiply(multiply(inverse(sk_c8), sk_c2), sk_c3)),
% 211.93/134.64 inference(transitivity,[status(thm)],[126, 105, 108, 68, 58, 21])).
% 211.93/134.64 tff(128,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c2), sk_c3))),
% 211.93/134.64 inference(monotonicity,[status(thm)],[127])).
% 211.93/134.64 tff(129,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c2), sk_c3)) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.64 inference(symmetry,[status(thm)],[128])).
% 211.93/134.64 tff(130,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), sk_c3) = multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c2), sk_c3)))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(131,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), sk_c3) = multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c2), sk_c3))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[130, 18])).
% 211.93/134.64 tff(132,plain,
% 211.93/134.64 (sk_c3 = multiply(identity, sk_c3)),
% 211.93/134.64 inference(symmetry,[status(thm)],[54])).
% 211.93/134.64 tff(133,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), sk_c3) = multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), multiply(identity, sk_c3))),
% 211.93/134.64 inference(monotonicity,[status(thm)],[132])).
% 211.93/134.64 tff(134,plain,
% 211.93/134.64 (multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), multiply(identity, sk_c3)) = multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), sk_c3)),
% 211.93/134.64 inference(symmetry,[status(thm)],[133])).
% 211.93/134.64 tff(135,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), identity), sk_c3) = multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), multiply(identity, sk_c3)))),
% 211.93/134.64 inference(quant_inst,[status(thm)],[])).
% 211.93/134.64 tff(136,plain,
% 211.93/134.64 (multiply(multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), identity), sk_c3) = multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), multiply(identity, sk_c3))),
% 211.93/134.64 inference(unit_resolution,[status(thm)],[135, 18])).
% 211.93/134.64 tff(137,plain,
% 211.93/134.64 (multiply(inverse(sk_c8), multiply(multiply(inverse(sk_c8), sk_c2), sk_c3)) = multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), sk_c3)),
% 211.93/134.64 inference(symmetry,[status(thm)],[131])).
% 211.93/134.64 tff(138,plain,
% 211.93/134.64 (sk_c1 = multiply(identity, sk_c1)),
% 211.93/134.64 inference(symmetry,[status(thm)],[56])).
% 211.93/134.64 tff(139,plain,
% 211.93/134.64 (sk_c1 = multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), sk_c3)),
% 211.93/134.64 inference(transitivity,[status(thm)],[138, 70, 25, 28, 128, 137])).
% 211.93/134.64 tff(140,plain,
% 211.93/134.64 (multiply(sk_c1, sk_c2) = multiply(multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), sk_c3), sk_c2)),
% 211.93/134.64 inference(monotonicity,[status(thm)],[139])).
% 211.93/134.64 tff(141,plain,
% 211.93/134.64 (multiply(multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), sk_c3), sk_c2) = multiply(sk_c1, sk_c2)),
% 211.93/134.64 inference(symmetry,[status(thm)],[140])).
% 211.93/134.64 tff(142,plain,
% 211.93/134.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), sk_c3), sk_c2) = multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), multiply(sk_c3, sk_c2)))),
% 211.93/134.65 inference(quant_inst,[status(thm)],[])).
% 211.93/134.65 tff(143,plain,
% 211.93/134.65 (multiply(multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), sk_c3), sk_c2) = multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), multiply(sk_c3, sk_c2))),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[142, 18])).
% 211.93/134.65 tff(144,plain,
% 211.93/134.65 (multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), multiply(sk_c3, sk_c2)) = multiply(multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), sk_c3), sk_c2)),
% 211.93/134.65 inference(symmetry,[status(thm)],[143])).
% 211.93/134.65 tff(145,plain,
% 211.93/134.65 (multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), identity) = multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), multiply(sk_c3, sk_c2))),
% 211.93/134.65 inference(monotonicity,[status(thm)],[91])).
% 211.93/134.65 tff(146,plain,
% 211.93/134.65 (multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), identity) = multiply(sk_c1, sk_c2)),
% 211.93/134.65 inference(transitivity,[status(thm)],[145, 144, 141])).
% 211.93/134.65 tff(147,plain,
% 211.93/134.65 (multiply(multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), identity), sk_c3) = multiply(multiply(sk_c1, sk_c2), sk_c3)),
% 211.93/134.65 inference(monotonicity,[status(thm)],[146])).
% 211.93/134.65 tff(148,plain,
% 211.93/134.65 (multiply(multiply(sk_c1, sk_c2), sk_c3) = multiply(multiply(multiply(inverse(sk_c8), multiply(inverse(sk_c8), sk_c2)), identity), sk_c3)),
% 211.93/134.65 inference(symmetry,[status(thm)],[147])).
% 211.93/134.65 tff(149,plain,
% 211.93/134.65 (sk_c8 = sk_c1),
% 211.93/134.65 inference(transitivity,[status(thm)],[125, 124, 80, 78, 148, 136, 134, 131, 129, 29, 26, 71, 56])).
% 211.93/134.65 tff(150,plain,
% 211.93/134.65 (inverse(sk_c8) = inverse(sk_c1)),
% 211.93/134.65 inference(monotonicity,[status(thm)],[149])).
% 211.93/134.65 tff(151,plain,
% 211.93/134.65 (inverse(sk_c8) = sk_c7),
% 211.93/134.65 inference(transitivity,[status(thm)],[150, 102, 125, 124, 80, 78, 52, 50, 43])).
% 211.93/134.65 tff(152,plain,
% 211.93/134.65 ($false),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[32, 151])).
% 211.93/134.65 tff(153,plain,(inverse(sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 211.93/134.65 tff(154,plain,
% 211.93/134.65 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 211.93/134.65 inference(quant_inst,[status(thm)],[])).
% 211.93/134.65 tff(155,plain,
% 211.93/134.65 (multiply(identity, sk_c8) = sk_c8),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[154, 7])).
% 211.93/134.65 tff(156,assumption,(~(multiply(sk_c1, sk_c8) = sk_c7)), introduced(assumption)).
% 211.93/134.65 tff(157,plain,
% 211.93/134.65 (((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 211.93/134.65 inference(rewrite,[status(thm)],[])).
% 211.93/134.65 tff(158,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_4')).
% 211.93/134.65 tff(159,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[158, 157])).
% 211.93/134.65 tff(160,plain,
% 211.93/134.65 (multiply(sk_c8, sk_c6) = sk_c7),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[159, 156])).
% 211.93/134.65 tff(161,plain,
% 211.93/134.65 (((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 211.93/134.65 inference(rewrite,[status(thm)],[])).
% 211.93/134.65 tff(162,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 211.93/134.65 tff(163,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[162, 161])).
% 211.93/134.65 tff(164,plain,
% 211.93/134.65 (multiply(sk_c5, sk_c8) = sk_c6),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[163, 156])).
% 211.93/134.65 tff(165,plain,
% 211.93/134.65 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 211.93/134.65 inference(monotonicity,[status(thm)],[164])).
% 211.93/134.65 tff(166,plain,
% 211.93/134.65 ((~![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)))),
% 211.93/134.65 inference(quant_inst,[status(thm)],[])).
% 211.93/134.65 tff(167,plain,
% 211.93/134.65 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[166, 18])).
% 211.93/134.65 tff(168,plain,
% 211.93/134.65 (((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8))),
% 211.93/134.65 inference(rewrite,[status(thm)],[])).
% 211.93/134.65 tff(169,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 211.93/134.65 tff(170,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[169, 168])).
% 211.93/134.65 tff(171,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[170, 168])).
% 211.93/134.65 tff(172,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[171, 168])).
% 211.93/134.65 tff(173,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[172, 168])).
% 211.93/134.65 tff(174,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[173, 168])).
% 211.93/134.65 tff(175,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[174, 168])).
% 211.93/134.65 tff(176,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[175, 168])).
% 211.93/134.65 tff(177,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[176, 168])).
% 211.93/134.65 tff(178,plain,
% 211.93/134.65 (inverse(sk_c5) = sk_c8),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[177, 156])).
% 211.93/134.65 tff(179,plain,
% 211.93/134.65 (sk_c8 = inverse(sk_c5)),
% 211.93/134.65 inference(symmetry,[status(thm)],[178])).
% 211.93/134.65 tff(180,plain,
% 211.93/134.65 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 211.93/134.65 inference(monotonicity,[status(thm)],[179])).
% 211.93/134.65 tff(181,plain,
% 211.93/134.65 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 211.93/134.65 inference(symmetry,[status(thm)],[180])).
% 211.93/134.65 tff(182,plain,
% 211.93/134.65 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 211.93/134.65 inference(quant_inst,[status(thm)],[])).
% 211.93/134.65 tff(183,plain,
% 211.93/134.65 (multiply(inverse(sk_c5), sk_c5) = identity),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[182, 65])).
% 211.93/134.65 tff(184,plain,
% 211.93/134.65 (identity = multiply(inverse(sk_c5), sk_c5)),
% 211.93/134.65 inference(symmetry,[status(thm)],[183])).
% 211.93/134.65 tff(185,plain,
% 211.93/134.65 (identity = multiply(sk_c8, sk_c5)),
% 211.93/134.65 inference(transitivity,[status(thm)],[184, 181])).
% 211.93/134.65 tff(186,plain,
% 211.93/134.65 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 211.93/134.65 inference(monotonicity,[status(thm)],[185])).
% 211.93/134.65 tff(187,plain,
% 211.93/134.65 (sk_c8 = multiply(identity, sk_c8)),
% 211.93/134.65 inference(symmetry,[status(thm)],[155])).
% 211.93/134.65 tff(188,plain,
% 211.93/134.65 (sk_c8 = sk_c7),
% 211.93/134.65 inference(transitivity,[status(thm)],[187, 186, 167, 165, 160])).
% 211.93/134.65 tff(189,plain,
% 211.93/134.65 ((multiply(sk_c4, sk_c8) = sk_c8) <=> (multiply(sk_c4, sk_c8) = sk_c7)),
% 211.93/134.65 inference(monotonicity,[status(thm)],[188])).
% 211.93/134.65 tff(190,plain,
% 211.93/134.65 ((multiply(sk_c4, sk_c8) = sk_c7) <=> (multiply(sk_c4, sk_c8) = sk_c8)),
% 211.93/134.65 inference(symmetry,[status(thm)],[189])).
% 211.93/134.65 tff(191,plain,
% 211.93/134.65 (((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 211.93/134.65 inference(rewrite,[status(thm)],[])).
% 211.93/134.65 tff(192,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_3')).
% 211.93/134.65 tff(193,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[192, 191])).
% 211.93/134.65 tff(194,plain,
% 211.93/134.65 (multiply(sk_c4, sk_c7) = sk_c8),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[193, 156])).
% 211.93/134.65 tff(195,plain,
% 211.93/134.65 (multiply(sk_c4, sk_c8) = multiply(sk_c4, sk_c7)),
% 211.93/134.65 inference(monotonicity,[status(thm)],[188])).
% 211.93/134.65 tff(196,plain,
% 211.93/134.65 (multiply(sk_c4, sk_c8) = sk_c7),
% 211.93/134.65 inference(transitivity,[status(thm)],[195, 194, 187, 186, 167, 165, 160])).
% 211.93/134.65 tff(197,plain,
% 211.93/134.65 (multiply(sk_c4, sk_c8) = sk_c8),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[196, 190])).
% 211.93/134.65 tff(198,plain,
% 211.93/134.65 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 211.93/134.65 inference(symmetry,[status(thm)],[186])).
% 211.93/134.65 tff(199,plain,
% 211.93/134.65 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 211.93/134.65 inference(symmetry,[status(thm)],[167])).
% 211.93/134.65 tff(200,plain,
% 211.93/134.65 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 211.93/134.65 inference(symmetry,[status(thm)],[165])).
% 211.93/134.65 tff(201,plain,
% 211.93/134.65 (sk_c7 = multiply(sk_c8, sk_c6)),
% 211.93/134.65 inference(symmetry,[status(thm)],[160])).
% 211.93/134.65 tff(202,plain,
% 211.93/134.65 (inverse(sk_c8) = sk_c8),
% 211.93/134.65 inference(transitivity,[status(thm)],[153, 201, 200, 199, 198, 155])).
% 211.93/134.65 tff(203,plain,
% 211.93/134.65 (sk_c7 = inverse(sk_c8)),
% 211.93/134.65 inference(symmetry,[status(thm)],[153])).
% 211.93/134.65 tff(204,plain,
% 211.93/134.65 (sk_c8 = inverse(sk_c8)),
% 211.93/134.65 inference(transitivity,[status(thm)],[187, 186, 167, 165, 160, 203])).
% 211.93/134.65 tff(205,plain,
% 211.93/134.65 (multiply(sk_c8, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 211.93/134.65 inference(monotonicity,[status(thm)],[204])).
% 211.93/134.65 tff(206,plain,
% 211.93/134.65 (multiply(sk_c8, sk_c8) = multiply(sk_c8, sk_c5)),
% 211.93/134.65 inference(transitivity,[status(thm)],[205, 67, 184, 181])).
% 211.93/134.65 tff(207,plain,
% 211.93/134.65 ((multiply(sk_c8, sk_c8) = sk_c7) <=> (multiply(sk_c8, sk_c5) = sk_c7)),
% 211.93/134.65 inference(monotonicity,[status(thm)],[206])).
% 211.93/134.65 tff(208,plain,
% 211.93/134.65 ((multiply(sk_c8, sk_c5) = sk_c7) <=> (multiply(sk_c8, sk_c8) = sk_c7)),
% 211.93/134.65 inference(symmetry,[status(thm)],[207])).
% 211.93/134.65 tff(209,plain,
% 211.93/134.65 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 211.93/134.65 inference(quant_inst,[status(thm)],[])).
% 211.93/134.65 tff(210,plain,
% 211.93/134.65 (multiply(inverse(sk_c4), sk_c4) = identity),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[209, 65])).
% 211.93/134.65 tff(211,plain,
% 211.93/134.65 (((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8))),
% 211.93/134.65 inference(rewrite,[status(thm)],[])).
% 211.93/134.65 tff(212,axiom,((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 211.93/134.65 tff(213,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[212, 211])).
% 211.93/134.65 tff(214,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[213, 211])).
% 211.93/134.65 tff(215,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[214, 211])).
% 211.93/134.65 tff(216,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[215, 211])).
% 211.93/134.65 tff(217,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[216, 211])).
% 211.93/134.65 tff(218,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[217, 211])).
% 211.93/134.65 tff(219,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[218, 211])).
% 211.93/134.65 tff(220,plain,
% 211.93/134.65 ((multiply(sk_c1, sk_c8) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[219, 211])).
% 211.93/134.65 tff(221,plain,
% 211.93/134.65 (inverse(sk_c4) = sk_c8),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[220, 156])).
% 211.93/134.65 tff(222,plain,
% 211.93/134.65 (sk_c8 = inverse(sk_c4)),
% 211.93/134.65 inference(symmetry,[status(thm)],[221])).
% 211.93/134.65 tff(223,plain,
% 211.93/134.65 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 211.93/134.65 inference(monotonicity,[status(thm)],[222])).
% 211.93/134.65 tff(224,plain,
% 211.93/134.65 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 211.93/134.65 inference(transitivity,[status(thm)],[223, 210, 184, 181])).
% 211.93/134.65 tff(225,plain,
% 211.93/134.65 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 211.93/134.65 inference(monotonicity,[status(thm)],[224])).
% 211.93/134.65 tff(226,plain,
% 211.93/134.65 ((~![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)))),
% 211.93/134.65 inference(quant_inst,[status(thm)],[])).
% 211.93/134.65 tff(227,plain,
% 211.93/134.65 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 211.93/134.65 inference(unit_resolution,[status(thm)],[226, 18])).
% 211.93/134.65 tff(228,plain,
% 211.93/134.65 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 211.93/134.65 inference(symmetry,[status(thm)],[227])).
% 211.93/134.65 tff(229,plain,
% 211.93/134.65 (sk_c7 = sk_c8),
% 211.93/134.65 inference(transitivity,[status(thm)],[201, 200, 199, 198, 155])).
% 211.93/134.65 tff(230,plain,
% 211.93/134.65 (multiply(sk_c7, multiply(sk_c4, sk_c8)) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 211.93/134.65 inference(monotonicity,[status(thm)],[229])).
% 211.93/134.65 tff(231,plain,
% 211.93/134.65 (multiply(sk_c4, sk_c7) = multiply(sk_c4, sk_c8)),
% 211.93/134.65 inference(symmetry,[status(thm)],[195])).
% 211.93/134.65 tff(232,plain,
% 211.93/134.65 (sk_c8 = multiply(sk_c4, sk_c7)),
% 211.93/134.65 inference(symmetry,[status(thm)],[194])).
% 211.93/134.65 tff(233,plain,
% 211.93/134.65 (sk_c8 = multiply(sk_c4, sk_c8)),
% 211.93/134.65 inference(transitivity,[status(thm)],[232, 231])).
% 211.93/134.65 tff(234,plain,
% 211.93/134.65 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c4, sk_c8))),
% 211.93/134.65 inference(monotonicity,[status(thm)],[153, 233])).
% 211.93/134.65 tff(235,plain,
% 211.93/134.65 (multiply(sk_c8, sk_c5) = sk_c7),
% 211.93/134.65 inference(transitivity,[status(thm)],[180, 183, 68, 234, 230, 228, 225, 167, 165, 160])).
% 211.93/134.65 tff(236,plain,
% 211.93/134.65 (multiply(sk_c8, sk_c8) = sk_c7),
% 211.93/134.65 inference(modus_ponens,[status(thm)],[235, 208])).
% 211.93/134.65 tff(237,plain,
% 211.93/134.65 (^[X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) <=> ((~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))),
% 211.93/134.65 inference(bind,[status(th)],[])).
% 211.93/134.65 tff(238,plain,
% 211.93/134.65 (![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) <=> ![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 211.93/134.65 inference(quant_intro,[status(thm)],[237])).
% 211.93/134.65 tff(239,plain,
% 211.93/134.65 (![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) <=> ![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 211.93/134.65 inference(rewrite,[status(thm)],[])).
% 211.93/134.65 tff(240,plain,
% 211.93/134.65 (^[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(rewrite(((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) <=> ((~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), ((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) <=> (((~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(X5, X6) = sk_c8))))), rewrite((((~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(X5, X6) = sk_c8))) <=> ((~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), ((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) <=> ((~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), (((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) <=> (((~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X5) = X6))))), rewrite((((~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X5) = X6))) <=> ((~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), (((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) <=> ((~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), ((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(inverse(sk_c8) = sk_c7))) <=> (((~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))))), rewrite((((~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), ((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(inverse(sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), (((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), (((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), ((((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(inverse(sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c8))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(X1, sk_c7) = sk_c8))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), ((((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), (((((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(multiply(sk_c8, X2) = sk_c7))))), rewrite((((~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), (((((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), ((((((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = 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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), ((((((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))))), (((((((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))), (((((((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))))),
% 211.93/134.66 inference(bind,[status(th)],[])).
% 211.93/134.66 tff(241,plain,
% 211.93/134.66 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((((((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 211.93/134.66 inference(quant_intro,[status(thm)],[240])).
% 211.93/134.66 tff(242,axiom,(![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((((((((((~(multiply(X4, sk_c8) = sk_c7)) | (~(inverse(X4) = sk_c8))) | (~(multiply(X5, X6) = sk_c8))) | (~(inverse(X5) = X6))) | (~(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_25')).
% 211.93/134.66 tff(243,plain,
% 211.93/134.66 (![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 211.93/134.66 inference(modus_ponens,[status(thm)],[242, 241])).
% 211.93/134.66 tff(244,plain,
% 211.93/134.66 (![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 211.93/134.66 inference(modus_ponens,[status(thm)],[243, 239])).
% 211.93/134.66 tff(245,plain,(
% 211.93/134.66 ![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 211.93/134.66 inference(skolemize,[status(sab)],[244])).
% 211.93/134.66 tff(246,plain,
% 211.93/134.66 (![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))),
% 211.93/134.66 inference(modus_ponens,[status(thm)],[245, 238])).
% 211.93/134.66 tff(247,plain,
% 211.93/134.66 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = 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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c8)))),
% 211.93/134.66 inference(rewrite,[status(thm)],[])).
% 211.93/134.66 tff(248,plain,
% 211.93/134.66 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c8)))),
% 211.93/134.66 inference(rewrite,[status(thm)],[])).
% 211.93/134.66 tff(249,plain,
% 211.93/134.66 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c8))))),
% 211.93/134.66 inference(monotonicity,[status(thm)],[248])).
% 211.93/134.66 tff(250,plain,
% 211.93/134.66 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c8)))),
% 211.93/134.66 inference(transitivity,[status(thm)],[249, 247])).
% 211.93/134.66 tff(251,plain,
% 211.93/134.66 ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c7)))),
% 211.93/134.66 inference(quant_inst,[status(thm)],[])).
% 211.93/134.66 tff(252,plain,
% 211.93/134.66 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c4, sk_c8) = sk_c8))),
% 211.93/134.66 inference(modus_ponens,[status(thm)],[251, 250])).
% 211.93/134.66 tff(253,plain,
% 211.93/134.66 ((~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c8))),
% 211.93/134.66 inference(unit_resolution,[status(thm)],[252, 153, 221, 194, 160, 164, 178, 246])).
% 211.93/134.66 tff(254,plain,
% 211.93/134.66 ($false),
% 211.93/134.66 inference(unit_resolution,[status(thm)],[253, 236, 202, 197])).
% 211.93/134.66 tff(255,plain,(multiply(sk_c1, sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 211.93/134.66 tff(256,assumption,(~(inverse(sk_c5) = sk_c8)), introduced(assumption)).
% 211.93/134.66 tff(257,plain,
% 211.93/134.66 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8))),
% 211.93/134.66 inference(rewrite,[status(thm)],[])).
% 211.93/134.66 tff(258,plain,
% 211.93/134.66 (((multiply(sk_c2, sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8))),
% 211.93/134.66 inference(rewrite,[status(thm)],[])).
% 211.93/134.66 tff(259,axiom,((multiply(sk_c2, sk_c3) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_18')).
% 211.93/134.66 tff(260,plain,
% 211.93/134.66 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8)),
% 211.93/134.66 inference(modus_ponens,[status(thm)],[259, 258])).
% 211.93/134.66 tff(261,plain,
% 211.93/134.66 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8)),
% 211.93/134.66 inference(modus_ponens,[status(thm)],[260, 257])).
% 211.93/134.66 tff(262,plain,
% 211.93/134.66 (multiply(sk_c2, sk_c3) = sk_c8),
% 211.93/134.66 inference(unit_resolution,[status(thm)],[261, 256])).
% 211.93/134.66 tff(263,plain,
% 211.93/134.66 (sk_c8 = multiply(sk_c2, sk_c3)),
% 211.93/134.66 inference(symmetry,[status(thm)],[262])).
% 211.93/134.66 tff(264,plain,
% 211.93/134.66 (multiply(sk_c1, sk_c8) = multiply(sk_c1, multiply(sk_c2, sk_c3))),
% 211.93/134.66 inference(monotonicity,[status(thm)],[263])).
% 211.93/134.66 tff(265,plain,
% 211.93/134.66 (multiply(sk_c1, multiply(sk_c2, sk_c3)) = multiply(sk_c1, sk_c8)),
% 211.93/134.66 inference(symmetry,[status(thm)],[264])).
% 211.93/134.66 tff(266,plain,
% 211.93/134.66 (multiply(sk_c3, multiply(sk_c2, sk_c3)) = multiply(sk_c3, sk_c8)),
% 211.93/134.66 inference(monotonicity,[status(thm)],[262])).
% 211.93/134.66 tff(267,plain,
% 211.93/134.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c2), sk_c3) = multiply(sk_c3, multiply(sk_c2, sk_c3)))),
% 211.93/134.66 inference(quant_inst,[status(thm)],[])).
% 211.93/134.66 tff(268,plain,
% 211.93/134.66 (multiply(multiply(sk_c3, sk_c2), sk_c3) = multiply(sk_c3, multiply(sk_c2, sk_c3))),
% 211.93/134.66 inference(unit_resolution,[status(thm)],[267, 18])).
% 211.93/134.66 tff(269,plain,
% 211.93/134.66 (((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c8))),
% 211.93/134.66 inference(rewrite,[status(thm)],[])).
% 211.93/134.66 tff(270,axiom,((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_24')).
% 211.93/134.66 tff(271,plain,
% 211.93/134.66 ((inverse(sk_c2) = sk_c3) | (inverse(sk_c5) = sk_c8)),
% 211.93/134.66 inference(modus_ponens,[status(thm)],[270, 269])).
% 211.93/134.66 tff(272,plain,
% 211.93/134.66 (inverse(sk_c2) = sk_c3),
% 211.93/134.66 inference(unit_resolution,[status(thm)],[271, 256])).
% 211.93/134.66 tff(273,plain,
% 211.93/134.66 (sk_c3 = inverse(sk_c2)),
% 211.93/134.66 inference(symmetry,[status(thm)],[272])).
% 211.93/134.66 tff(274,plain,
% 211.93/134.66 (multiply(sk_c3, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 211.93/134.66 inference(monotonicity,[status(thm)],[273])).
% 211.93/134.66 tff(275,plain,
% 211.93/134.66 (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c3, sk_c2)),
% 211.93/134.66 inference(symmetry,[status(thm)],[274])).
% 211.93/134.66 tff(276,plain,
% 211.93/134.66 (identity = multiply(sk_c3, sk_c2)),
% 211.93/134.66 inference(transitivity,[status(thm)],[90, 275])).
% 211.93/134.66 tff(277,plain,
% 211.93/134.66 (multiply(identity, sk_c3) = multiply(multiply(sk_c3, sk_c2), sk_c3)),
% 211.93/134.66 inference(monotonicity,[status(thm)],[276])).
% 211.93/134.66 tff(278,plain,
% 211.93/134.66 (sk_c3 = multiply(sk_c3, sk_c8)),
% 211.93/134.66 inference(transitivity,[status(thm)],[132, 277, 268, 266])).
% 211.93/134.66 tff(279,plain,
% 211.93/134.66 (multiply(multiply(sk_c1, sk_c2), sk_c3) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c8))),
% 211.93/134.66 inference(monotonicity,[status(thm)],[278])).
% 211.93/134.66 tff(280,plain,
% 211.93/134.66 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c8)) = multiply(multiply(sk_c1, sk_c2), sk_c3)),
% 211.93/134.66 inference(symmetry,[status(thm)],[279])).
% 211.93/134.66 tff(281,plain,
% 211.93/134.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c8) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c8)))),
% 211.93/134.66 inference(quant_inst,[status(thm)],[])).
% 211.93/134.66 tff(282,plain,
% 211.93/134.66 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c8) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c8))),
% 211.93/134.66 inference(unit_resolution,[status(thm)],[281, 18])).
% 211.93/134.66 tff(283,plain,
% 211.93/134.66 (multiply(multiply(sk_c1, sk_c2), sk_c3) = inverse(sk_c8)),
% 211.93/134.66 inference(transitivity,[status(thm)],[52, 265, 255, 203])).
% 211.93/134.66 tff(284,plain,
% 211.93/134.66 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 211.93/134.66 inference(monotonicity,[status(thm)],[283])).
% 211.93/134.66 tff(285,plain,
% 211.93/134.66 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c8)),
% 211.93/134.66 inference(symmetry,[status(thm)],[284])).
% 211.93/134.66 tff(286,plain,
% 211.93/134.66 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 211.93/134.66 inference(rewrite,[status(thm)],[])).
% 211.93/134.66 tff(287,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 211.93/134.66 tff(288,plain,
% 211.93/134.66 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 211.93/134.66 inference(modus_ponens,[status(thm)],[287, 286])).
% 211.93/134.66 tff(289,plain,
% 211.93/134.66 (inverse(sk_c1) = sk_c8),
% 211.93/134.66 inference(unit_resolution,[status(thm)],[288, 256])).
% 211.93/134.66 tff(290,plain,
% 211.93/134.66 (inverse(sk_c1) = multiply(sk_c2, sk_c3)),
% 211.93/134.66 inference(transitivity,[status(thm)],[289, 263])).
% 211.93/134.66 tff(291,plain,
% 211.93/134.66 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c2, sk_c3), sk_c1)),
% 211.93/134.66 inference(monotonicity,[status(thm)],[290])).
% 211.93/134.66 tff(292,plain,
% 211.93/134.66 (multiply(multiply(sk_c2, sk_c3), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 211.93/134.66 inference(symmetry,[status(thm)],[291])).
% 211.93/134.66 tff(293,plain,
% 211.93/134.66 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(inverse(sk_c8), sk_c8)),
% 211.93/134.66 inference(monotonicity,[status(thm)],[262])).
% 211.93/134.66 tff(294,plain,
% 211.93/134.66 (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.66 inference(symmetry,[status(thm)],[293])).
% 211.93/134.66 tff(295,plain,
% 211.93/134.66 (identity = multiply(multiply(inverse(sk_c8), sk_c2), sk_c3)),
% 211.93/134.66 inference(transitivity,[status(thm)],[68, 294, 21])).
% 211.93/134.66 tff(296,plain,
% 211.93/134.66 (multiply(identity, sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1)),
% 211.93/134.66 inference(monotonicity,[status(thm)],[295])).
% 211.93/134.66 tff(297,plain,
% 211.93/134.66 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1) = multiply(identity, sk_c1)),
% 211.93/134.66 inference(symmetry,[status(thm)],[296])).
% 211.93/134.66 tff(298,plain,
% 211.93/134.66 (multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)) = sk_c1),
% 211.93/134.66 inference(transitivity,[status(thm)],[26, 297, 56])).
% 211.93/134.66 tff(299,plain,
% 211.93/134.66 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.66 inference(monotonicity,[status(thm)],[298])).
% 211.93/134.66 tff(300,plain,
% 211.93/134.66 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.66 inference(symmetry,[status(thm)],[299])).
% 211.93/134.66 tff(301,plain,
% 211.93/134.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))))),
% 211.93/134.66 inference(quant_inst,[status(thm)],[])).
% 211.93/134.66 tff(302,plain,
% 211.93/134.66 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.66 inference(unit_resolution,[status(thm)],[301, 18])).
% 211.93/134.66 tff(303,plain,
% 211.93/134.66 (multiply(sk_c1, sk_c8) = inverse(sk_c8)),
% 211.93/134.66 inference(transitivity,[status(thm)],[255, 203])).
% 211.93/134.66 tff(304,plain,
% 211.93/134.66 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.66 inference(monotonicity,[status(thm)],[303])).
% 211.93/134.66 tff(305,plain,
% 211.93/134.66 (multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.66 inference(symmetry,[status(thm)],[304])).
% 211.93/134.66 tff(306,plain,
% 211.93/134.66 (sk_c1 = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.66 inference(transitivity,[status(thm)],[138, 296, 25, 28, 305, 302, 300])).
% 211.93/134.66 tff(307,plain,
% 211.93/134.66 (multiply(multiply(sk_c2, sk_c3), sk_c1) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))))),
% 211.93/134.66 inference(monotonicity,[status(thm)],[262, 306])).
% 211.93/134.66 tff(308,plain,
% 211.93/134.66 (multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) = multiply(multiply(sk_c2, sk_c3), sk_c1)),
% 211.93/134.66 inference(symmetry,[status(thm)],[307])).
% 211.93/134.66 tff(309,plain,
% 211.93/134.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))))),
% 211.93/134.66 inference(quant_inst,[status(thm)],[])).
% 211.93/134.66 tff(310,plain,
% 211.93/134.66 (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))))),
% 211.93/134.66 inference(unit_resolution,[status(thm)],[309, 18])).
% 211.93/134.66 tff(311,plain,
% 211.93/134.66 (multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c2, sk_c3), sk_c1)),
% 211.93/134.66 inference(monotonicity,[status(thm)],[263, 298])).
% 211.93/134.66 tff(312,plain,
% 211.93/134.66 (multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.66 inference(transitivity,[status(thm)],[311, 292, 108, 68, 294])).
% 211.93/134.66 tff(313,plain,
% 211.93/134.66 (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.66 inference(monotonicity,[status(thm)],[312])).
% 211.93/134.66 tff(314,plain,
% 211.93/134.66 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.66 inference(symmetry,[status(thm)],[313])).
% 211.93/134.66 tff(315,plain,
% 211.93/134.66 (multiply(multiply(sk_c2, sk_c3), sk_c1) = multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 211.93/134.66 inference(symmetry,[status(thm)],[311])).
% 211.93/134.66 tff(316,plain,
% 211.93/134.66 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 211.93/134.66 inference(transitivity,[status(thm)],[293, 67, 109, 291, 315])).
% 211.93/134.66 tff(317,plain,
% 211.93/134.66 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.66 inference(monotonicity,[status(thm)],[316])).
% 211.93/134.66 tff(318,plain,
% 211.93/134.66 (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.66 inference(symmetry,[status(thm)],[317])).
% 211.93/134.66 tff(319,plain,
% 211.93/134.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))))),
% 211.93/134.66 inference(quant_inst,[status(thm)],[])).
% 211.93/134.66 tff(320,plain,
% 211.93/134.66 (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.66 inference(unit_resolution,[status(thm)],[319, 18])).
% 211.93/134.66 tff(321,plain,
% 211.93/134.66 (multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.66 inference(symmetry,[status(thm)],[320])).
% 211.93/134.66 tff(322,plain,
% 211.93/134.66 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c3)) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.66 inference(monotonicity,[status(thm)],[303])).
% 211.93/134.66 tff(323,plain,
% 211.93/134.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c3)) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(324,plain,
% 211.93/134.67 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c3)) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[323, 18])).
% 211.93/134.67 tff(325,plain,
% 211.93/134.67 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.67 inference(symmetry,[status(thm)],[324])).
% 211.93/134.67 tff(326,plain,
% 211.93/134.67 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[298])).
% 211.93/134.67 tff(327,plain,
% 211.93/134.67 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 211.93/134.67 inference(transitivity,[status(thm)],[326, 325, 322, 293, 67, 109, 291, 31])).
% 211.93/134.67 tff(328,plain,
% 211.93/134.67 (multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[327])).
% 211.93/134.67 tff(329,plain,
% 211.93/134.67 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.67 inference(symmetry,[status(thm)],[328])).
% 211.93/134.67 tff(330,plain,
% 211.93/134.67 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.67 inference(transitivity,[status(thm)],[329, 321, 318])).
% 211.93/134.67 tff(331,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[330])).
% 211.93/134.67 tff(332,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.67 inference(symmetry,[status(thm)],[331])).
% 211.93/134.67 tff(333,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3)))))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(334,plain,
% 211.93/134.67 (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[333, 18])).
% 211.93/134.67 tff(335,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[21, 298])).
% 211.93/134.67 tff(336,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = sk_c1),
% 211.93/134.67 inference(transitivity,[status(thm)],[335, 297, 56])).
% 211.93/134.67 tff(337,plain,
% 211.93/134.67 (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[336])).
% 211.93/134.67 tff(338,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(339,plain,
% 211.93/134.67 (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[338, 18])).
% 211.93/134.67 tff(340,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.67 inference(symmetry,[status(thm)],[339])).
% 211.93/134.67 tff(341,plain,
% 211.93/134.67 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.67 inference(symmetry,[status(thm)],[326])).
% 211.93/134.67 tff(342,plain,
% 211.93/134.67 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.67 inference(symmetry,[status(thm)],[322])).
% 211.93/134.67 tff(343,plain,
% 211.93/134.67 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.67 inference(transitivity,[status(thm)],[342, 324, 341])).
% 211.93/134.67 tff(344,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[343])).
% 211.93/134.67 tff(345,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.67 inference(transitivity,[status(thm)],[344, 340, 337, 325, 322])).
% 211.93/134.67 tff(346,plain,
% 211.93/134.67 (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[345])).
% 211.93/134.67 tff(347,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.67 inference(symmetry,[status(thm)],[346])).
% 211.93/134.67 tff(348,plain,
% 211.93/134.67 (sk_c7 = multiply(sk_c1, sk_c8)),
% 211.93/134.67 inference(symmetry,[status(thm)],[255])).
% 211.93/134.67 tff(349,plain,
% 211.93/134.67 (inverse(sk_c8) = multiply(sk_c1, sk_c8)),
% 211.93/134.67 inference(transitivity,[status(thm)],[153, 348])).
% 211.93/134.67 tff(350,plain,
% 211.93/134.67 (multiply(inverse(sk_c8), sk_c2) = multiply(multiply(sk_c1, sk_c8), sk_c2)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[349])).
% 211.93/134.67 tff(351,plain,
% 211.93/134.67 (multiply(multiply(sk_c1, sk_c8), sk_c2) = multiply(inverse(sk_c8), sk_c2)),
% 211.93/134.67 inference(symmetry,[status(thm)],[350])).
% 211.93/134.67 tff(352,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c8), sk_c2) = multiply(sk_c1, multiply(sk_c8, sk_c2)))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(353,plain,
% 211.93/134.67 (multiply(multiply(sk_c1, sk_c8), sk_c2) = multiply(sk_c1, multiply(sk_c8, sk_c2))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[352, 18])).
% 211.93/134.67 tff(354,plain,
% 211.93/134.67 (multiply(sk_c1, multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c1, sk_c8), sk_c2)),
% 211.93/134.67 inference(symmetry,[status(thm)],[353])).
% 211.93/134.67 tff(355,plain,
% 211.93/134.67 (multiply(sk_c1, multiply(sk_c8, sk_c2)) = multiply(inverse(sk_c8), sk_c2)),
% 211.93/134.67 inference(transitivity,[status(thm)],[354, 351])).
% 211.93/134.67 tff(356,plain,
% 211.93/134.67 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3) = multiply(multiply(inverse(sk_c8), sk_c2), sk_c3)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[355])).
% 211.93/134.67 tff(357,plain,
% 211.93/134.67 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3) = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 211.93/134.67 inference(transitivity,[status(thm)],[356, 20, 293, 67, 109, 291, 31])).
% 211.93/134.67 tff(358,plain,
% 211.93/134.67 (multiply(sk_c8, multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3)) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[357])).
% 211.93/134.67 tff(359,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))), sk_c3) = multiply(sk_c8, multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3)))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(360,plain,
% 211.93/134.67 (multiply(multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))), sk_c3) = multiply(sk_c8, multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[359, 18])).
% 211.93/134.67 tff(361,plain,
% 211.93/134.67 (multiply(multiply(sk_c3, sk_c2), sk_c3) = multiply(identity, sk_c3)),
% 211.93/134.67 inference(symmetry,[status(thm)],[277])).
% 211.93/134.67 tff(362,plain,
% 211.93/134.67 (multiply(sk_c3, multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c3, sk_c2), sk_c3)),
% 211.93/134.67 inference(symmetry,[status(thm)],[268])).
% 211.93/134.67 tff(363,plain,
% 211.93/134.67 (multiply(sk_c3, sk_c8) = multiply(sk_c3, multiply(sk_c2, sk_c3))),
% 211.93/134.67 inference(symmetry,[status(thm)],[266])).
% 211.93/134.67 tff(364,plain,
% 211.93/134.67 (multiply(sk_c3, sk_c8) = sk_c3),
% 211.93/134.67 inference(transitivity,[status(thm)],[363, 362, 361, 54])).
% 211.93/134.67 tff(365,plain,
% 211.93/134.67 (multiply(multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))), multiply(sk_c3, sk_c8)) = multiply(multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))), sk_c3)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[364])).
% 211.93/134.67 tff(366,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))), sk_c3), sk_c8) = multiply(multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))), multiply(sk_c3, sk_c8)))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(367,plain,
% 211.93/134.67 (multiply(multiply(multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))), sk_c3), sk_c8) = multiply(multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))), multiply(sk_c3, sk_c8))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[366, 18])).
% 211.93/134.67 tff(368,plain,
% 211.93/134.67 (multiply(sk_c8, multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3)) = multiply(multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))), sk_c3)),
% 211.93/134.67 inference(symmetry,[status(thm)],[360])).
% 211.93/134.67 tff(369,plain,
% 211.93/134.67 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3))),
% 211.93/134.67 inference(symmetry,[status(thm)],[358])).
% 211.93/134.67 tff(370,plain,
% 211.93/134.67 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))), sk_c3)),
% 211.93/134.67 inference(transitivity,[status(thm)],[369, 368])).
% 211.93/134.67 tff(371,plain,
% 211.93/134.67 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(multiply(multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))), sk_c3), sk_c8)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[370])).
% 211.93/134.67 tff(372,plain,
% 211.93/134.67 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = sk_c7),
% 211.93/134.67 inference(transitivity,[status(thm)],[371, 367, 365, 360, 358, 329, 321, 318, 347, 334, 332, 314, 310, 308, 292, 108, 68, 285, 282, 280, 52, 265, 255])).
% 211.93/134.67 tff(373,plain,
% 211.93/134.67 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = identity),
% 211.93/134.67 inference(transitivity,[status(thm)],[293, 67])).
% 211.93/134.67 tff(374,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c8) = multiply(identity, sk_c8)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[373])).
% 211.93/134.67 tff(375,plain,
% 211.93/134.67 (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c8)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[312])).
% 211.93/134.67 tff(376,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(377,plain,
% 211.93/134.67 (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[376, 18])).
% 211.93/134.67 tff(378,plain,
% 211.93/134.67 (multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)) = multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8)),
% 211.93/134.67 inference(symmetry,[status(thm)],[377])).
% 211.93/134.67 tff(379,plain,
% 211.93/134.67 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8) = multiply(sk_c1, sk_c8)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[298])).
% 211.93/134.67 tff(380,plain,
% 211.93/134.67 (multiply(sk_c1, sk_c8) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)),
% 211.93/134.67 inference(symmetry,[status(thm)],[379])).
% 211.93/134.67 tff(381,plain,
% 211.93/134.67 (sk_c7 = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)),
% 211.93/134.67 inference(transitivity,[status(thm)],[348, 380])).
% 211.93/134.67 tff(382,plain,
% 211.93/134.67 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[381])).
% 211.93/134.67 tff(383,plain,
% 211.93/134.67 (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c1, sk_c8)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[336])).
% 211.93/134.67 tff(384,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(385,plain,
% 211.93/134.67 (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[384, 18])).
% 211.93/134.67 tff(386,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)) = multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8)),
% 211.93/134.67 inference(symmetry,[status(thm)],[385])).
% 211.93/134.67 tff(387,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c7) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[381])).
% 211.93/134.67 tff(388,plain,
% 211.93/134.67 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c7) = sk_c7),
% 211.93/134.67 inference(transitivity,[status(thm)],[387, 386, 383, 255])).
% 211.93/134.67 tff(389,plain,
% 211.93/134.67 (multiply(sk_c8, multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c7)) = multiply(sk_c8, sk_c7)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[388])).
% 211.93/134.67 tff(390,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), sk_c7) = multiply(sk_c8, multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c7)))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(391,plain,
% 211.93/134.67 (multiply(multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), sk_c7) = multiply(sk_c8, multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c7))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[390, 18])).
% 211.93/134.67 tff(392,plain,
% 211.93/134.67 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8) = sk_c7),
% 211.93/134.67 inference(transitivity,[status(thm)],[379, 255])).
% 211.93/134.67 tff(393,plain,
% 211.93/134.67 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 211.93/134.67 inference(transitivity,[status(thm)],[293, 67, 109, 291, 31])).
% 211.93/134.67 tff(394,plain,
% 211.93/134.67 (multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[393])).
% 211.93/134.67 tff(395,plain,
% 211.93/134.67 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))),
% 211.93/134.67 inference(symmetry,[status(thm)],[394])).
% 211.93/134.67 tff(396,plain,
% 211.93/134.67 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)) = multiply(multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), sk_c7)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[395, 392])).
% 211.93/134.67 tff(397,plain,
% 211.93/134.67 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[381])).
% 211.93/134.67 tff(398,plain,
% 211.93/134.67 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = sk_c8),
% 211.93/134.67 inference(transitivity,[status(thm)],[397, 396, 391, 389, 382, 378, 375, 374, 155])).
% 211.93/134.67 tff(399,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), multiply(sk_c3, sk_c1)) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(400,plain,
% 211.93/134.67 (multiply(multiply(sk_c8, sk_c2), multiply(sk_c3, sk_c1)) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[399, 18])).
% 211.93/134.67 tff(401,plain,
% 211.93/134.67 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c3, sk_c1)) = multiply(sk_c3, sk_c1))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(402,plain,
% 211.93/134.67 (multiply(identity, multiply(sk_c3, sk_c1)) = multiply(sk_c3, sk_c1)),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[401, 7])).
% 211.93/134.67 tff(403,plain,
% 211.93/134.67 (multiply(identity, multiply(sk_c3, sk_c1)) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c3, sk_c1))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[276])).
% 211.93/134.67 tff(404,plain,
% 211.93/134.67 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c3, sk_c1)) = multiply(identity, multiply(sk_c3, sk_c1))),
% 211.93/134.67 inference(symmetry,[status(thm)],[403])).
% 211.93/134.67 tff(405,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c2), multiply(sk_c3, sk_c1)) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(406,plain,
% 211.93/134.67 (multiply(multiply(sk_c3, sk_c2), multiply(sk_c3, sk_c1)) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[405, 18])).
% 211.93/134.67 tff(407,plain,
% 211.93/134.67 (multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c3, sk_c2), multiply(sk_c3, sk_c1))),
% 211.93/134.67 inference(symmetry,[status(thm)],[406])).
% 211.93/134.67 tff(408,plain,
% 211.93/134.67 (multiply(sk_c3, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[327])).
% 211.93/134.67 tff(409,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c3, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(410,plain,
% 211.93/134.67 (multiply(multiply(sk_c3, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c3, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[409, 18])).
% 211.93/134.67 tff(411,plain,
% 211.93/134.67 (multiply(sk_c3, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(sk_c3, sk_c1)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[298])).
% 211.93/134.67 tff(412,plain,
% 211.93/134.67 (multiply(sk_c3, sk_c1) = multiply(sk_c3, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 211.93/134.67 inference(symmetry,[status(thm)],[411])).
% 211.93/134.67 tff(413,plain,
% 211.93/134.67 (multiply(multiply(sk_c3, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c3, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[412])).
% 211.93/134.67 tff(414,plain,
% 211.93/134.67 (multiply(multiply(sk_c3, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c3, sk_c1)),
% 211.93/134.67 inference(transitivity,[status(thm)],[413, 410, 408, 407, 404, 402])).
% 211.93/134.67 tff(415,plain,
% 211.93/134.67 (multiply(sk_c8, sk_c2) = multiply(multiply(sk_c2, sk_c3), sk_c2)),
% 211.93/134.67 inference(monotonicity,[status(thm)],[263])).
% 211.93/134.67 tff(416,plain,
% 211.93/134.67 (multiply(multiply(sk_c2, sk_c3), sk_c2) = multiply(sk_c8, sk_c2)),
% 211.93/134.67 inference(symmetry,[status(thm)],[415])).
% 211.93/134.67 tff(417,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c3), sk_c2) = multiply(sk_c2, multiply(sk_c3, sk_c2)))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(418,plain,
% 211.93/134.67 (multiply(multiply(sk_c2, sk_c3), sk_c2) = multiply(sk_c2, multiply(sk_c3, sk_c2))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[417, 18])).
% 211.93/134.67 tff(419,plain,
% 211.93/134.67 (multiply(sk_c2, multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c2, sk_c3), sk_c2)),
% 211.93/134.67 inference(symmetry,[status(thm)],[418])).
% 211.93/134.67 tff(420,plain,
% 211.93/134.67 (multiply(sk_c2, multiply(sk_c3, sk_c2)) = multiply(sk_c8, sk_c2)),
% 211.93/134.67 inference(transitivity,[status(thm)],[419, 416])).
% 211.93/134.67 tff(421,plain,
% 211.93/134.67 (multiply(multiply(sk_c2, multiply(sk_c3, sk_c2)), multiply(multiply(sk_c3, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(multiply(sk_c8, sk_c2), multiply(sk_c3, sk_c1))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[420, 414])).
% 211.93/134.67 tff(422,plain,
% 211.93/134.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c2, multiply(sk_c3, sk_c2)), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c2, multiply(sk_c3, sk_c2)), multiply(multiply(sk_c3, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3)))))),
% 211.93/134.67 inference(quant_inst,[status(thm)],[])).
% 211.93/134.67 tff(423,plain,
% 211.93/134.67 (multiply(multiply(multiply(sk_c2, multiply(sk_c3, sk_c2)), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c2, multiply(sk_c3, sk_c2)), multiply(multiply(sk_c3, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.67 inference(unit_resolution,[status(thm)],[422, 18])).
% 211.93/134.67 tff(424,plain,
% 211.93/134.67 (multiply(multiply(sk_c2, multiply(sk_c3, sk_c2)), multiply(sk_c3, sk_c1)) = multiply(multiply(sk_c8, sk_c2), multiply(sk_c3, sk_c1))),
% 211.93/134.67 inference(monotonicity,[status(thm)],[420])).
% 211.93/134.68 tff(425,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, sk_c2), multiply(sk_c3, sk_c1)) = multiply(multiply(sk_c2, multiply(sk_c3, sk_c2)), multiply(sk_c3, sk_c1))),
% 211.93/134.68 inference(symmetry,[status(thm)],[424])).
% 211.93/134.68 tff(426,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c8, sk_c2), multiply(sk_c3, sk_c1))),
% 211.93/134.68 inference(symmetry,[status(thm)],[400])).
% 211.93/134.68 tff(427,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c2, multiply(sk_c3, sk_c2)), multiply(sk_c3, sk_c1))),
% 211.93/134.68 inference(transitivity,[status(thm)],[426, 425])).
% 211.93/134.68 tff(428,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(multiply(sk_c2, multiply(sk_c3, sk_c2)), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[427])).
% 211.93/134.68 tff(429,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[394])).
% 211.93/134.68 tff(430,plain,
% 211.93/134.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c8, multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3)))))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(431,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c8, multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[430, 18])).
% 211.93/134.68 tff(432,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[431])).
% 211.93/134.68 tff(433,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c8, multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[330])).
% 211.93/134.68 tff(434,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c7),
% 211.93/134.68 inference(transitivity,[status(thm)],[433, 432, 429, 428, 423, 421, 400, 329, 321, 318, 347, 334, 332, 314, 310, 308, 292, 108, 68, 285, 282, 280, 52, 265, 255])).
% 211.93/134.68 tff(435,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.68 inference(transitivity,[status(thm)],[371, 367, 365, 360, 358])).
% 211.93/134.68 tff(436,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, sk_c1)) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[355])).
% 211.93/134.68 tff(437,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, sk_c1)) = sk_c1),
% 211.93/134.68 inference(transitivity,[status(thm)],[436, 26, 297, 56])).
% 211.93/134.68 tff(438,plain,
% 211.93/134.68 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[437])).
% 211.93/134.68 tff(439,plain,
% 211.93/134.68 ((~![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_c2)), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(multiply(sk_c3, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3)))))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(440,plain,
% 211.93/134.68 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(multiply(sk_c3, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[439, 18])).
% 211.93/134.68 tff(441,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(multiply(sk_c3, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[440])).
% 211.93/134.68 tff(442,plain,
% 211.93/134.68 (multiply(multiply(sk_c3, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c3, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[413])).
% 211.93/134.68 tff(443,plain,
% 211.93/134.68 (multiply(sk_c3, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(multiply(sk_c3, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[410])).
% 211.93/134.68 tff(444,plain,
% 211.93/134.68 (multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c3, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.68 inference(symmetry,[status(thm)],[408])).
% 211.93/134.68 tff(445,plain,
% 211.93/134.68 (multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c3, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(transitivity,[status(thm)],[444, 443, 442])).
% 211.93/134.68 tff(446,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(multiply(sk_c3, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[445])).
% 211.93/134.68 tff(447,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(transitivity,[status(thm)],[446, 441, 438])).
% 211.93/134.68 tff(448,plain,
% 211.93/134.68 ((multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8) <=> (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))) = sk_c8)),
% 211.93/134.68 inference(monotonicity,[status(thm)],[447])).
% 211.93/134.68 tff(449,plain,
% 211.93/134.68 ((multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))) = sk_c8) <=> (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)),
% 211.93/134.68 inference(symmetry,[status(thm)],[448])).
% 211.93/134.68 tff(450,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(transitivity,[status(thm)],[329, 321, 318, 347, 334, 332, 314, 310, 308, 292, 108, 68, 294, 342, 324])).
% 211.93/134.68 tff(451,plain,
% 211.93/134.68 ((multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = sk_c8) <=> (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))) = sk_c8)),
% 211.93/134.68 inference(monotonicity,[status(thm)],[450])).
% 211.93/134.68 tff(452,plain,
% 211.93/134.68 ((multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = sk_c8) <=> (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)),
% 211.93/134.68 inference(transitivity,[status(thm)],[451, 449])).
% 211.93/134.68 tff(453,plain,
% 211.93/134.68 (multiply(sk_c2, sk_c3) = multiply(sk_c2, multiply(sk_c3, sk_c8))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[278])).
% 211.93/134.68 tff(454,plain,
% 211.93/134.68 (multiply(sk_c2, multiply(sk_c3, sk_c8)) = multiply(sk_c2, sk_c3)),
% 211.93/134.68 inference(symmetry,[status(thm)],[453])).
% 211.93/134.68 tff(455,plain,
% 211.93/134.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(sk_c2, multiply(sk_c3, sk_c8)))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(456,plain,
% 211.93/134.68 (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(sk_c2, multiply(sk_c3, sk_c8))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[455, 18])).
% 211.93/134.68 tff(457,plain,
% 211.93/134.68 (multiply(multiply(sk_c2, sk_c3), sk_c8) = multiply(sk_c8, sk_c8)),
% 211.93/134.68 inference(monotonicity,[status(thm)],[262])).
% 211.93/134.68 tff(458,plain,
% 211.93/134.68 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c2, sk_c3), sk_c8)),
% 211.93/134.68 inference(symmetry,[status(thm)],[457])).
% 211.93/134.68 tff(459,plain,
% 211.93/134.68 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c3))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[263])).
% 211.93/134.68 tff(460,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c2, sk_c3)) = multiply(sk_c8, sk_c8)),
% 211.93/134.68 inference(symmetry,[status(thm)],[459])).
% 211.93/134.68 tff(461,plain,
% 211.93/134.68 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(462,plain,
% 211.93/134.68 (multiply(identity, multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c8, multiply(sk_c2, sk_c3))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[461, 7])).
% 211.93/134.68 tff(463,plain,
% 211.93/134.68 (identity = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.68 inference(transitivity,[status(thm)],[68, 294])).
% 211.93/134.68 tff(464,plain,
% 211.93/134.68 (multiply(identity, multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[463])).
% 211.93/134.68 tff(465,plain,
% 211.93/134.68 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(identity, multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[464])).
% 211.93/134.68 tff(466,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = sk_c8),
% 211.93/134.68 inference(transitivity,[status(thm)],[329, 321, 318, 465, 462, 460, 458, 456, 454, 262])).
% 211.93/134.68 tff(467,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8),
% 211.93/134.68 inference(modus_ponens,[status(thm)],[466, 452])).
% 211.93/134.68 tff(468,plain,
% 211.93/134.68 (multiply(identity, sk_c2) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2)),
% 211.93/134.68 inference(monotonicity,[status(thm)],[463])).
% 211.93/134.68 tff(469,plain,
% 211.93/134.68 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2) = multiply(identity, sk_c2)),
% 211.93/134.68 inference(symmetry,[status(thm)],[468])).
% 211.93/134.68 tff(470,plain,
% 211.93/134.68 (multiply(sk_c7, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[203, 393])).
% 211.93/134.68 tff(471,plain,
% 211.93/134.68 (multiply(sk_c7, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = sk_c1),
% 211.93/134.68 inference(transitivity,[status(thm)],[470, 29, 26, 297, 56])).
% 211.93/134.68 tff(472,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))) = multiply(multiply(sk_c2, sk_c3), sk_c1)),
% 211.93/134.68 inference(monotonicity,[status(thm)],[263, 471])).
% 211.93/134.68 tff(473,plain,
% 211.93/134.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(474,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(sk_c8, multiply(sk_c7, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[473, 18])).
% 211.93/134.68 tff(475,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.68 inference(transitivity,[status(thm)],[474, 472, 292, 108, 68, 294])).
% 211.93/134.68 tff(476,plain,
% 211.93/134.68 (multiply(multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), sk_c2) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2)),
% 211.93/134.68 inference(monotonicity,[status(thm)],[475])).
% 211.93/134.68 tff(477,plain,
% 211.93/134.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), sk_c2) = multiply(multiply(sk_c8, sk_c7), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2)))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(478,plain,
% 211.93/134.68 (multiply(multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), sk_c2) = multiply(multiply(sk_c8, sk_c7), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[477, 18])).
% 211.93/134.68 tff(479,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, sk_c7), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2)) = multiply(multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), sk_c2)),
% 211.93/134.68 inference(symmetry,[status(thm)],[478])).
% 211.93/134.68 tff(480,plain,
% 211.93/134.68 (sk_c2 = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2)),
% 211.93/134.68 inference(transitivity,[status(thm)],[94, 468])).
% 211.93/134.68 tff(481,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, sk_c7), sk_c2) = multiply(multiply(sk_c8, sk_c7), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[480])).
% 211.93/134.68 tff(482,plain,
% 211.93/134.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), sk_c2) = multiply(sk_c8, multiply(sk_c7, sk_c2)))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(483,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, sk_c7), sk_c2) = multiply(sk_c8, multiply(sk_c7, sk_c2))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[482, 18])).
% 211.93/134.68 tff(484,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c8, sk_c7), sk_c2)),
% 211.93/134.68 inference(symmetry,[status(thm)],[483])).
% 211.93/134.68 tff(485,plain,
% 211.93/134.68 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c8), sk_c2)),
% 211.93/134.68 inference(monotonicity,[status(thm)],[203])).
% 211.93/134.68 tff(486,plain,
% 211.93/134.68 (multiply(inverse(sk_c8), sk_c2) = multiply(sk_c7, sk_c2)),
% 211.93/134.68 inference(symmetry,[status(thm)],[485])).
% 211.93/134.68 tff(487,plain,
% 211.93/134.68 (multiply(sk_c1, multiply(sk_c8, sk_c2)) = multiply(sk_c7, sk_c2)),
% 211.93/134.68 inference(transitivity,[status(thm)],[354, 351, 486])).
% 211.93/134.68 tff(488,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c8, multiply(sk_c7, sk_c2))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[487])).
% 211.93/134.68 tff(489,plain,
% 211.93/134.68 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c2, multiply(sk_c3, sk_c2))) = multiply(sk_c1, multiply(sk_c8, sk_c2))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[298, 420])).
% 211.93/134.68 tff(490,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c2, multiply(sk_c3, sk_c2)))) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2)))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[489])).
% 211.93/134.68 tff(491,plain,
% 211.93/134.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c2, multiply(sk_c3, sk_c2))) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c2, multiply(sk_c3, sk_c2)))))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(492,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c2, multiply(sk_c3, sk_c2))) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c2, multiply(sk_c3, sk_c2))))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[491, 18])).
% 211.93/134.68 tff(493,plain,
% 211.93/134.68 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c2, multiply(sk_c3, sk_c2))) = multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c2, multiply(sk_c3, sk_c2)))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[316])).
% 211.93/134.68 tff(494,plain,
% 211.93/134.68 (multiply(identity, multiply(sk_c2, multiply(sk_c3, sk_c2))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c2, multiply(sk_c3, sk_c2)))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[463])).
% 211.93/134.68 tff(495,plain,
% 211.93/134.68 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c2, multiply(sk_c3, sk_c2))) = multiply(sk_c2, multiply(sk_c3, sk_c2)))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(496,plain,
% 211.93/134.68 (multiply(identity, multiply(sk_c2, multiply(sk_c3, sk_c2))) = multiply(sk_c2, multiply(sk_c3, sk_c2))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[495, 7])).
% 211.93/134.68 tff(497,plain,
% 211.93/134.68 (multiply(sk_c2, multiply(sk_c3, sk_c2)) = multiply(identity, multiply(sk_c2, multiply(sk_c3, sk_c2)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[496])).
% 211.93/134.68 tff(498,plain,
% 211.93/134.68 (multiply(sk_c8, sk_c2) = sk_c2),
% 211.93/134.68 inference(transitivity,[status(thm)],[415, 418, 497, 494, 493, 492, 490, 488, 484, 481, 479, 476, 469, 93])).
% 211.93/134.68 tff(499,plain,
% 211.93/134.68 (inverse(multiply(sk_c8, sk_c2)) = inverse(sk_c2)),
% 211.93/134.68 inference(monotonicity,[status(thm)],[498])).
% 211.93/134.68 tff(500,plain,
% 211.93/134.68 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c2, multiply(sk_c3, sk_c2))) = multiply(identity, multiply(sk_c2, multiply(sk_c3, sk_c2)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[494])).
% 211.93/134.68 tff(501,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c2, multiply(sk_c3, sk_c2))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c2, multiply(sk_c3, sk_c2)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[493])).
% 211.93/134.68 tff(502,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c2, multiply(sk_c3, sk_c2)))) = multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c2, multiply(sk_c3, sk_c2)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[492])).
% 211.93/134.68 tff(503,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c2, multiply(sk_c3, sk_c2))))),
% 211.93/134.68 inference(symmetry,[status(thm)],[490])).
% 211.93/134.68 tff(504,plain,
% 211.93/134.68 (multiply(sk_c8, multiply(sk_c7, sk_c2)) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, sk_c2)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[488])).
% 211.93/134.68 tff(505,plain,
% 211.93/134.68 (multiply(multiply(sk_c8, sk_c7), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2)) = multiply(multiply(sk_c8, sk_c7), sk_c2)),
% 211.93/134.68 inference(symmetry,[status(thm)],[481])).
% 211.93/134.68 tff(506,plain,
% 211.93/134.68 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2) = multiply(multiply(multiply(sk_c8, sk_c7), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), sk_c2)),
% 211.93/134.68 inference(symmetry,[status(thm)],[476])).
% 211.93/134.68 tff(507,plain,
% 211.93/134.68 (multiply(multiply(inverse(sk_c8), sk_c2), sk_c3) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3)),
% 211.93/134.68 inference(symmetry,[status(thm)],[356])).
% 211.93/134.68 tff(508,plain,
% 211.93/134.68 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3)),
% 211.93/134.68 inference(transitivity,[status(thm)],[21, 507])).
% 211.93/134.68 tff(509,plain,
% 211.93/134.68 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3), sk_c2)),
% 211.93/134.68 inference(monotonicity,[status(thm)],[508])).
% 211.93/134.68 tff(510,plain,
% 211.93/134.68 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3), sk_c2) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c2)),
% 211.93/134.68 inference(symmetry,[status(thm)],[509])).
% 211.93/134.68 tff(511,plain,
% 211.93/134.68 ((~![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_c2)), sk_c3), sk_c2) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, sk_c2)))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(512,plain,
% 211.93/134.68 (multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3), sk_c2) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, sk_c2))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[511, 18])).
% 211.93/134.68 tff(513,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, sk_c2)) = multiply(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), sk_c3), sk_c2)),
% 211.93/134.68 inference(symmetry,[status(thm)],[512])).
% 211.93/134.68 tff(514,plain,
% 211.93/134.68 (multiply(sk_c3, sk_c2) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.68 inference(transitivity,[status(thm)],[274, 89, 68, 294])).
% 211.93/134.68 tff(515,plain,
% 211.93/134.68 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(sk_c3, sk_c2)),
% 211.93/134.68 inference(transitivity,[status(thm)],[293, 67, 90, 275])).
% 211.93/134.68 tff(516,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, sk_c2), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c2))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[515])).
% 211.93/134.68 tff(517,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c1, sk_c2), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[516])).
% 211.93/134.68 tff(518,plain,
% 211.93/134.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c2) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c2)))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(519,plain,
% 211.93/134.68 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c2) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c2))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[518, 18])).
% 211.93/134.68 tff(520,plain,
% 211.93/134.68 (multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c2) = multiply(inverse(sk_c8), sk_c2)),
% 211.93/134.68 inference(monotonicity,[status(thm)],[283])).
% 211.93/134.68 tff(521,plain,
% 211.93/134.68 (multiply(inverse(sk_c8), sk_c2) = multiply(multiply(multiply(sk_c1, sk_c2), sk_c3), sk_c2)),
% 211.93/134.68 inference(symmetry,[status(thm)],[520])).
% 211.93/134.68 tff(522,plain,
% 211.93/134.68 (multiply(sk_c1, multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c1, sk_c2), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(transitivity,[status(thm)],[354, 351, 521, 519, 517])).
% 211.93/134.68 tff(523,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, sk_c2)) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[522, 514])).
% 211.93/134.68 tff(524,plain,
% 211.93/134.68 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, sk_c2))),
% 211.93/134.68 inference(symmetry,[status(thm)],[523])).
% 211.93/134.68 tff(525,plain,
% 211.93/134.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, sk_c2), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))))),
% 211.93/134.68 inference(quant_inst,[status(thm)],[])).
% 211.93/134.68 tff(526,plain,
% 211.93/134.68 (multiply(multiply(multiply(sk_c1, sk_c2), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))))),
% 211.93/134.68 inference(unit_resolution,[status(thm)],[525, 18])).
% 211.93/134.68 tff(527,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))) = multiply(multiply(multiply(sk_c1, sk_c2), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))),
% 211.93/134.68 inference(symmetry,[status(thm)],[526])).
% 211.93/134.68 tff(528,plain,
% 211.93/134.68 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(sk_c3, sk_c2)),
% 211.93/134.68 inference(transitivity,[status(thm)],[344, 340, 337, 325, 322, 293, 67, 90, 275])).
% 211.93/134.68 tff(529,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, sk_c2), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))) = multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c2))),
% 211.93/134.68 inference(monotonicity,[status(thm)],[528])).
% 211.93/134.68 tff(530,plain,
% 211.93/134.68 (multiply(multiply(sk_c1, sk_c2), multiply(sk_c3, sk_c2)) = multiply(multiply(sk_c1, sk_c2), multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))))),
% 211.93/134.69 inference(symmetry,[status(thm)],[529])).
% 211.93/134.69 tff(531,plain,
% 211.93/134.69 (multiply(sk_c1, multiply(sk_c8, sk_c2)) = multiply(sk_c8, sk_c2)),
% 211.93/134.69 inference(transitivity,[status(thm)],[354, 351, 521, 519, 530, 527, 524, 513, 510, 506, 478, 505, 483, 504, 503, 502, 501, 500, 496, 419, 416])).
% 211.93/134.69 tff(532,plain,
% 211.93/134.69 (inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = inverse(multiply(sk_c8, sk_c2))),
% 211.93/134.69 inference(monotonicity,[status(thm)],[531])).
% 211.93/134.69 tff(533,plain,
% 211.93/134.69 (inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = inverse(sk_c2)),
% 211.93/134.69 inference(transitivity,[status(thm)],[532, 499])).
% 211.93/134.69 tff(534,plain,
% 211.93/134.69 ((inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) <=> (inverse(sk_c2) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.69 inference(monotonicity,[status(thm)],[533])).
% 211.93/134.69 tff(535,plain,
% 211.93/134.69 ((inverse(sk_c2) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) <=> (inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.69 inference(symmetry,[status(thm)],[534])).
% 211.93/134.69 tff(536,plain,
% 211.93/134.69 (multiply(sk_c3, multiply(sk_c2, sk_c3)) = sk_c3),
% 211.93/134.69 inference(transitivity,[status(thm)],[362, 361, 54])).
% 211.93/134.69 tff(537,plain,
% 211.93/134.69 (multiply(multiply(sk_c3, multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.69 inference(monotonicity,[status(thm)],[536, 393])).
% 211.93/134.69 tff(538,plain,
% 211.93/134.69 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.69 inference(transitivity,[status(thm)],[329, 321, 318, 347, 334, 332, 314, 310, 308, 292, 108, 68, 294])).
% 211.93/134.69 tff(539,plain,
% 211.93/134.69 (multiply(multiply(sk_c3, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c3, multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))),
% 211.93/134.69 inference(monotonicity,[status(thm)],[538])).
% 211.93/134.69 tff(540,plain,
% 211.93/134.69 (multiply(sk_c8, multiply(sk_c2, sk_c3)) = multiply(identity, multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.69 inference(symmetry,[status(thm)],[462])).
% 211.93/134.69 tff(541,plain,
% 211.93/134.69 (multiply(sk_c2, multiply(sk_c3, sk_c8)) = multiply(multiply(sk_c2, sk_c3), sk_c8)),
% 211.93/134.69 inference(symmetry,[status(thm)],[456])).
% 211.93/134.69 tff(542,plain,
% 211.93/134.69 (sk_c8 = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.69 inference(transitivity,[status(thm)],[263, 453, 541, 457, 459, 540, 464, 317, 320, 328])).
% 211.93/134.69 tff(543,plain,
% 211.93/134.69 (multiply(multiply(sk_c3, multiply(sk_c2, sk_c3)), sk_c8) = multiply(multiply(sk_c3, multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.69 inference(monotonicity,[status(thm)],[542])).
% 211.93/134.69 tff(544,plain,
% 211.93/134.69 (sk_c3 = multiply(sk_c3, multiply(sk_c2, sk_c3))),
% 211.93/134.69 inference(transitivity,[status(thm)],[132, 277, 268])).
% 211.93/134.69 tff(545,plain,
% 211.93/134.69 (multiply(sk_c3, sk_c8) = multiply(multiply(sk_c3, multiply(sk_c2, sk_c3)), sk_c8)),
% 211.93/134.69 inference(monotonicity,[status(thm)],[544])).
% 211.93/134.69 tff(546,plain,
% 211.93/134.69 (inverse(sk_c2) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.69 inference(transitivity,[status(thm)],[272, 132, 277, 268, 266, 545, 543, 539, 537])).
% 211.93/134.69 tff(547,plain,
% 211.93/134.69 (inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.69 inference(modus_ponens,[status(thm)],[546, 535])).
% 211.93/134.69 tff(548,plain,
% 211.93/134.69 ((inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8) <=> (inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.69 inference(monotonicity,[status(thm)],[542])).
% 211.93/134.69 tff(549,plain,
% 211.93/134.69 ((inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) <=> (inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)),
% 211.93/134.69 inference(symmetry,[status(thm)],[548])).
% 211.93/134.69 tff(550,plain,
% 211.93/134.69 (sk_c1 = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))),
% 211.93/134.69 inference(transitivity,[status(thm)],[138, 296, 25])).
% 211.93/134.69 tff(551,plain,
% 211.93/134.69 (multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) = multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.69 inference(symmetry,[status(thm)],[310])).
% 211.93/134.69 tff(552,plain,
% 211.93/134.69 (multiply(multiply(inverse(sk_c8), sk_c2), sk_c3) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 211.93/134.69 inference(transitivity,[status(thm)],[20, 293, 67, 109, 291, 307, 551, 313])).
% 211.93/134.69 tff(553,plain,
% 211.93/134.69 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1) = multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 211.93/134.69 inference(monotonicity,[status(thm)],[552, 550])).
% 211.93/134.69 tff(554,plain,
% 211.93/134.69 (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1)),
% 211.93/134.69 inference(symmetry,[status(thm)],[553])).
% 211.93/134.69 tff(555,plain,
% 211.93/134.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))))),
% 211.93/134.69 inference(quant_inst,[status(thm)],[])).
% 211.93/134.69 tff(556,plain,
% 211.93/134.69 (multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))))),
% 211.93/134.69 inference(unit_resolution,[status(thm)],[555, 18])).
% 211.93/134.69 tff(557,plain,
% 211.93/134.69 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))) = multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 211.93/134.69 inference(symmetry,[status(thm)],[556])).
% 211.93/134.69 tff(558,plain,
% 211.93/134.69 (multiply(sk_c8, multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c2, sk_c3), sk_c1)),
% 211.93/134.69 inference(monotonicity,[status(thm)],[263, 336])).
% 211.93/134.69 tff(559,plain,
% 211.93/134.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))))),
% 211.93/134.69 inference(quant_inst,[status(thm)],[])).
% 211.93/134.69 tff(560,plain,
% 211.93/134.69 (multiply(multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))))),
% 211.93/134.69 inference(unit_resolution,[status(thm)],[559, 18])).
% 211.93/134.69 tff(561,plain,
% 211.93/134.69 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c8, multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 211.93/134.69 inference(monotonicity,[status(thm)],[395])).
% 211.93/134.69 tff(562,plain,
% 211.93/134.69 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 211.93/134.69 inference(transitivity,[status(thm)],[561, 560, 558, 292, 108, 68, 294])).
% 211.93/134.69 tff(563,plain,
% 211.93/134.69 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))),
% 211.93/134.69 inference(monotonicity,[status(thm)],[562])).
% 211.93/134.69 tff(564,plain,
% 211.93/134.69 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))))),
% 211.93/134.69 inference(symmetry,[status(thm)],[563])).
% 211.93/134.69 tff(565,plain,
% 211.93/134.69 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))),
% 211.93/134.69 inference(symmetry,[status(thm)],[344])).
% 211.93/134.69 tff(566,plain,
% 211.93/134.69 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 211.93/134.69 inference(symmetry,[status(thm)],[337])).
% 211.93/134.69 tff(567,plain,
% 211.93/134.69 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = sk_c1),
% 211.93/134.69 inference(transitivity,[status(thm)],[329, 321, 318, 347, 334, 332, 314, 310, 308, 292, 108, 68, 294, 342, 324, 566, 339, 565, 564, 557, 554, 297, 56])).
% 211.93/134.69 tff(568,plain,
% 211.93/134.69 (inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = inverse(sk_c1)),
% 211.93/134.69 inference(monotonicity,[status(thm)],[567])).
% 211.93/134.69 tff(569,plain,
% 211.93/134.69 (inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 211.93/134.69 inference(transitivity,[status(thm)],[568, 289, 263, 453, 541, 457, 459, 540, 464, 317, 320, 328])).
% 211.93/134.69 tff(570,plain,
% 211.93/134.69 (inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8),
% 211.93/134.69 inference(modus_ponens,[status(thm)],[569, 549])).
% 211.93/134.69 tff(571,plain,
% 211.93/134.69 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = sk_c7)))),
% 211.93/134.69 inference(rewrite,[status(thm)],[])).
% 211.93/134.69 tff(572,plain,
% 211.93/134.69 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = sk_c7)))),
% 211.93/134.69 inference(rewrite,[status(thm)],[])).
% 211.93/134.69 tff(573,plain,
% 211.93/134.69 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = sk_c7))))),
% 211.93/134.69 inference(monotonicity,[status(thm)],[572])).
% 211.93/134.69 tff(574,plain,
% 211.93/134.69 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = sk_c7)))),
% 211.93/134.69 inference(transitivity,[status(thm)],[573, 571])).
% 211.93/134.69 tff(575,plain,
% 211.93/134.69 ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = sk_c7)))),
% 211.93/134.70 inference(quant_inst,[status(thm)],[])).
% 211.93/134.70 tff(576,plain,
% 211.93/134.70 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(inverse(multiply(sk_c1, multiply(sk_c8, sk_c2))) = multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(multiply(sk_c1, multiply(sk_c8, sk_c2)), multiply(sk_c3, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = sk_c7)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), sk_c8) = sk_c7))),
% 211.93/134.70 inference(modus_ponens,[status(thm)],[575, 574])).
% 211.93/134.70 tff(577,plain,
% 211.93/134.70 ($false),
% 211.93/134.70 inference(unit_resolution,[status(thm)],[576, 153, 246, 570, 547, 467, 435, 434, 398, 372])).
% 211.93/134.70 tff(578,plain,(inverse(sk_c5) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 211.93/134.70 tff(579,plain,
% 211.93/134.70 (sk_c8 = inverse(sk_c5)),
% 211.93/134.70 inference(symmetry,[status(thm)],[578])).
% 211.93/134.70 tff(580,plain,
% 211.93/134.70 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 211.93/134.70 inference(monotonicity,[status(thm)],[579])).
% 211.93/134.70 tff(581,plain,
% 211.93/134.70 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 211.93/134.70 inference(symmetry,[status(thm)],[580])).
% 211.93/134.70 tff(582,plain,
% 211.93/134.70 (identity = multiply(sk_c8, sk_c5)),
% 211.93/134.70 inference(transitivity,[status(thm)],[184, 581])).
% 211.93/134.70 tff(583,plain,
% 211.93/134.70 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 211.93/134.70 inference(monotonicity,[status(thm)],[582])).
% 211.93/134.70 tff(584,plain,
% 211.93/134.70 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 211.93/134.70 inference(symmetry,[status(thm)],[583])).
% 211.93/134.70 tff(585,assumption,(~(inverse(sk_c1) = sk_c8)), introduced(assumption)).
% 211.93/134.70 tff(586,plain,
% 211.93/134.70 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 211.93/134.70 inference(rewrite,[status(thm)],[])).
% 211.93/134.70 tff(587,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 211.93/134.70 tff(588,plain,
% 211.93/134.70 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 211.93/134.70 inference(modus_ponens,[status(thm)],[587, 586])).
% 211.93/134.70 tff(589,plain,
% 211.93/134.70 (multiply(sk_c5, sk_c8) = sk_c6),
% 211.93/134.70 inference(unit_resolution,[status(thm)],[588, 585])).
% 211.93/134.70 tff(590,plain,
% 211.93/134.70 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c6)),
% 211.93/134.70 inference(monotonicity,[status(thm)],[589])).
% 211.93/134.70 tff(591,plain,
% 211.93/134.70 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 211.93/134.70 inference(symmetry,[status(thm)],[590])).
% 211.93/134.70 tff(592,plain,
% 211.93/134.70 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 211.93/134.70 inference(rewrite,[status(thm)],[])).
% 211.93/134.70 tff(593,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_10')).
% 211.93/134.70 tff(594,plain,
% 211.93/134.70 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 211.93/134.70 inference(modus_ponens,[status(thm)],[593, 592])).
% 211.93/134.70 tff(595,plain,
% 211.93/134.70 (multiply(sk_c8, sk_c6) = sk_c7),
% 211.93/134.70 inference(unit_resolution,[status(thm)],[594, 585])).
% 211.93/134.70 tff(596,plain,
% 211.93/134.70 (sk_c7 = multiply(sk_c8, sk_c6)),
% 211.93/134.70 inference(symmetry,[status(thm)],[595])).
% 211.93/134.70 tff(597,plain,
% 211.93/134.70 (sk_c7 = sk_c8),
% 211.93/134.70 inference(transitivity,[status(thm)],[596, 591, 199, 584, 155])).
% 211.93/134.70 tff(598,plain,
% 211.93/134.70 (inverse(sk_c7) = inverse(sk_c8)),
% 211.93/134.70 inference(monotonicity,[status(thm)],[597])).
% 211.93/134.70 tff(599,plain,
% 211.93/134.70 (inverse(sk_c7) = sk_c7),
% 211.93/134.70 inference(transitivity,[status(thm)],[598, 153])).
% 211.93/134.70 tff(600,plain,
% 211.93/134.70 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 211.93/134.70 inference(quant_inst,[status(thm)],[])).
% 211.93/134.70 tff(601,plain,
% 211.93/134.70 (multiply(identity, sk_c7) = sk_c7),
% 211.93/134.70 inference(unit_resolution,[status(thm)],[600, 7])).
% 211.93/134.70 tff(602,plain,
% 211.93/134.70 (((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 211.93/134.70 inference(rewrite,[status(thm)],[])).
% 211.93/134.70 tff(603,axiom,((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_8')).
% 211.93/134.70 tff(604,plain,
% 211.93/134.70 ((inverse(sk_c1) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 211.93/134.70 inference(modus_ponens,[status(thm)],[603, 602])).
% 211.93/134.70 tff(605,plain,
% 211.93/134.70 (inverse(sk_c4) = sk_c8),
% 211.93/134.70 inference(unit_resolution,[status(thm)],[604, 585])).
% 211.93/134.70 tff(606,plain,
% 211.93/134.70 (sk_c8 = inverse(sk_c4)),
% 211.93/134.70 inference(symmetry,[status(thm)],[605])).
% 211.93/134.70 tff(607,plain,
% 211.93/134.70 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 211.93/134.70 inference(monotonicity,[status(thm)],[606])).
% 211.93/134.70 tff(608,plain,
% 211.93/134.70 (multiply(sk_c8, sk_c4) = identity),
% 211.93/134.70 inference(transitivity,[status(thm)],[607, 210])).
% 211.93/134.70 tff(609,plain,
% 211.93/134.70 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(identity, sk_c7)),
% 211.93/134.70 inference(monotonicity,[status(thm)],[608])).
% 211.93/134.70 tff(610,plain,
% 211.93/134.70 ((~![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)))),
% 211.93/134.70 inference(quant_inst,[status(thm)],[])).
% 211.93/134.70 tff(611,plain,
% 211.93/134.70 (multiply(multiply(sk_c8, sk_c4), sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 211.93/134.70 inference(unit_resolution,[status(thm)],[610, 18])).
% 211.93/134.70 tff(612,plain,
% 211.93/134.70 (multiply(sk_c8, multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c8, sk_c4), sk_c7)),
% 211.93/134.70 inference(symmetry,[status(thm)],[611])).
% 211.93/134.70 tff(613,plain,
% 211.93/134.70 (((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 211.93/134.70 inference(rewrite,[status(thm)],[])).
% 211.93/134.70 tff(614,axiom,((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_9')).
% 211.93/134.70 tff(615,plain,
% 211.93/134.70 ((inverse(sk_c1) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 211.93/134.70 inference(modus_ponens,[status(thm)],[614, 613])).
% 211.93/134.70 tff(616,plain,
% 211.93/134.70 (multiply(sk_c4, sk_c7) = sk_c8),
% 211.93/134.70 inference(unit_resolution,[status(thm)],[615, 585])).
% 211.93/134.70 tff(617,plain,
% 211.93/134.70 (sk_c8 = multiply(sk_c4, sk_c7)),
% 211.93/134.70 inference(symmetry,[status(thm)],[616])).
% 211.93/134.70 tff(618,plain,
% 211.93/134.70 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c7))),
% 211.93/134.70 inference(monotonicity,[status(thm)],[617])).
% 211.93/134.70 tff(619,plain,
% 211.93/134.70 (multiply(sk_c7, sk_c7) = multiply(sk_c8, sk_c8)),
% 211.93/134.70 inference(monotonicity,[status(thm)],[597, 597])).
% 211.93/134.70 tff(620,plain,
% 211.93/134.70 (sk_c8 = sk_c7),
% 211.93/134.70 inference(transitivity,[status(thm)],[187, 583, 167, 590, 595])).
% 211.93/134.70 tff(621,plain,
% 211.93/134.70 (multiply(sk_c8, sk_c7) = multiply(sk_c7, sk_c7)),
% 211.93/134.70 inference(monotonicity,[status(thm)],[620])).
% 211.93/134.70 tff(622,plain,
% 211.93/134.70 (multiply(sk_c8, sk_c7) = sk_c7),
% 211.93/134.70 inference(transitivity,[status(thm)],[621, 619, 618, 612, 609, 601])).
% 211.93/134.70 tff(623,plain,
% 211.93/134.70 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, sk_c7)),
% 211.93/134.70 inference(monotonicity,[status(thm)],[153, 620])).
% 211.93/134.70 tff(624,plain,
% 211.93/134.70 (multiply(sk_c7, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 212.04/134.70 inference(monotonicity,[status(thm)],[203])).
% 212.04/134.70 tff(625,plain,
% 212.04/134.70 (multiply(sk_c7, sk_c8) = sk_c7),
% 212.04/134.70 inference(transitivity,[status(thm)],[624, 623, 619, 618, 612, 609, 601])).
% 212.04/134.70 tff(626,plain,
% 212.04/134.70 (multiply(sk_c7, sk_c7) = sk_c8),
% 212.04/134.70 inference(transitivity,[status(thm)],[619, 618, 612, 609, 601, 596, 591, 199, 584, 155])).
% 212.04/134.70 tff(627,plain,
% 212.04/134.70 (inverse(sk_c7) = sk_c8),
% 212.04/134.70 inference(transitivity,[status(thm)],[598, 153, 596, 591, 199, 584, 155])).
% 212.04/134.70 tff(628,plain,
% 212.04/134.70 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)))),
% 212.04/134.70 inference(rewrite,[status(thm)],[])).
% 212.04/134.70 tff(629,plain,
% 212.04/134.70 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)))),
% 212.04/134.70 inference(rewrite,[status(thm)],[])).
% 212.04/134.70 tff(630,plain,
% 212.04/134.70 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(inverse(sk_c7) = sk_c7))))),
% 212.04/134.70 inference(monotonicity,[status(thm)],[629])).
% 212.04/134.70 tff(631,plain,
% 212.04/134.70 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(inverse(sk_c7) = sk_c7)))),
% 212.04/134.70 inference(transitivity,[status(thm)],[630, 628])).
% 212.04/134.70 tff(632,plain,
% 212.04/134.70 ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c7)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)))),
% 212.04/134.70 inference(quant_inst,[status(thm)],[])).
% 212.04/134.70 tff(633,plain,
% 212.04/134.70 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c7) = sk_c8)) | (~(multiply(sk_c7, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(inverse(sk_c7) = sk_c7))),
% 212.04/134.70 inference(modus_ponens,[status(thm)],[632, 631])).
% 212.04/134.70 tff(634,plain,
% 212.04/134.70 ($false),
% 212.04/134.70 inference(unit_resolution,[status(thm)],[633, 153, 246, 627, 626, 625, 622, 599])).
% 212.04/134.70 tff(635,plain,(inverse(sk_c1) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 212.04/134.70 tff(636,plain,
% 212.04/134.70 (sk_c8 = inverse(sk_c1)),
% 212.04/134.70 inference(symmetry,[status(thm)],[635])).
% 212.04/134.70 tff(637,plain,
% 212.04/134.70 (multiply(sk_c8, sk_c5) = identity),
% 212.04/134.70 inference(transitivity,[status(thm)],[580, 183])).
% 212.04/134.70 tff(638,plain,
% 212.04/134.70 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 212.04/134.70 inference(monotonicity,[status(thm)],[637])).
% 212.04/134.70 tff(639,assumption,(~(multiply(sk_c2, sk_c3) = sk_c8)), introduced(assumption)).
% 212.04/134.70 tff(640,plain,
% 212.04/134.70 (((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)) <=> ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6))),
% 212.04/134.70 inference(rewrite,[status(thm)],[])).
% 212.04/134.70 tff(641,axiom,((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 212.04/134.70 tff(642,plain,
% 212.04/134.70 ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c6)),
% 212.04/134.70 inference(modus_ponens,[status(thm)],[641, 640])).
% 212.04/134.70 tff(643,plain,
% 212.04/134.70 (multiply(sk_c5, sk_c8) = sk_c6),
% 212.04/134.70 inference(unit_resolution,[status(thm)],[642, 639])).
% 212.04/134.70 tff(644,plain,
% 212.04/134.70 (sk_c6 = multiply(sk_c5, sk_c8)),
% 212.04/134.70 inference(symmetry,[status(thm)],[643])).
% 212.04/134.70 tff(645,plain,
% 212.04/134.70 (multiply(sk_c8, sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 212.04/134.70 inference(monotonicity,[status(thm)],[644])).
% 212.04/134.70 tff(646,assumption,(~(multiply(sk_c8, sk_c6) = sk_c7)), introduced(assumption)).
% 212.04/134.70 tff(647,plain,
% 212.04/134.70 (((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 212.04/134.70 inference(rewrite,[status(thm)],[])).
% 212.04/134.70 tff(648,axiom,((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_16')).
% 212.04/134.70 tff(649,plain,
% 212.04/134.70 ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 212.04/134.70 inference(modus_ponens,[status(thm)],[648, 647])).
% 212.04/134.70 tff(650,plain,
% 212.04/134.70 (multiply(sk_c2, sk_c3) = sk_c8),
% 212.04/134.70 inference(unit_resolution,[status(thm)],[649, 646])).
% 212.04/134.70 tff(651,plain,
% 212.04/134.70 (multiply(sk_c2, sk_c3) = inverse(sk_c1)),
% 212.04/134.70 inference(transitivity,[status(thm)],[650, 636])).
% 212.04/134.70 tff(652,plain,
% 212.04/134.70 (multiply(multiply(sk_c2, sk_c3), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 212.04/134.70 inference(monotonicity,[status(thm)],[651])).
% 212.04/134.70 tff(653,plain,
% 212.04/134.70 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c2, sk_c3), sk_c1)),
% 212.04/134.70 inference(symmetry,[status(thm)],[652])).
% 212.04/134.70 tff(654,plain,
% 212.04/134.70 (sk_c8 = multiply(sk_c2, sk_c3)),
% 212.04/134.70 inference(symmetry,[status(thm)],[650])).
% 212.04/134.70 tff(655,plain,
% 212.04/134.70 (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 212.04/134.70 inference(monotonicity,[status(thm)],[654])).
% 212.04/134.70 tff(656,plain,
% 212.04/134.70 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(inverse(sk_c8), sk_c8)),
% 212.04/134.70 inference(symmetry,[status(thm)],[655])).
% 212.04/134.70 tff(657,plain,
% 212.04/134.70 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c3))),
% 212.04/134.70 inference(monotonicity,[status(thm)],[349])).
% 212.04/134.70 tff(658,plain,
% 212.04/134.70 (multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, sk_c3)) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 212.04/134.70 inference(symmetry,[status(thm)],[657])).
% 212.04/134.70 tff(659,plain,
% 212.04/134.70 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 212.04/134.70 inference(transitivity,[status(thm)],[325, 658, 656, 67, 109, 653, 31])).
% 212.04/134.70 tff(660,plain,
% 212.04/134.70 (multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.70 inference(monotonicity,[status(thm)],[203, 659])).
% 212.04/134.70 tff(661,plain,
% 212.04/134.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))))),
% 212.04/134.70 inference(quant_inst,[status(thm)],[])).
% 212.04/134.70 tff(662,plain,
% 212.04/134.70 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 212.04/134.70 inference(unit_resolution,[status(thm)],[661, 18])).
% 212.04/134.70 tff(663,plain,
% 212.04/134.70 (multiply(sk_c8, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 212.04/134.70 inference(monotonicity,[status(thm)],[636])).
% 212.04/134.70 tff(664,plain,
% 212.04/134.70 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c8, sk_c1)),
% 212.04/134.70 inference(symmetry,[status(thm)],[663])).
% 212.04/134.70 tff(665,plain,
% 212.04/134.70 (identity = multiply(sk_c8, sk_c1)),
% 212.04/134.70 inference(transitivity,[status(thm)],[109, 664])).
% 212.04/134.70 tff(666,plain,
% 212.04/134.70 (multiply(identity, multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c8, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 212.04/134.70 inference(monotonicity,[status(thm)],[665])).
% 212.04/134.70 tff(667,plain,
% 212.04/134.70 (multiply(multiply(sk_c8, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(identity, multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 212.04/134.70 inference(symmetry,[status(thm)],[666])).
% 212.04/134.70 tff(668,plain,
% 212.04/134.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))))),
% 212.04/134.70 inference(quant_inst,[status(thm)],[])).
% 212.04/134.70 tff(669,plain,
% 212.04/134.70 (multiply(multiply(sk_c8, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 212.04/134.70 inference(unit_resolution,[status(thm)],[668, 18])).
% 212.04/134.70 tff(670,plain,
% 212.04/134.70 (multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(multiply(sk_c8, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 212.04/134.70 inference(symmetry,[status(thm)],[669])).
% 212.04/134.70 tff(671,plain,
% 212.04/134.70 (multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.70 inference(monotonicity,[status(thm)],[659])).
% 212.04/134.70 tff(672,plain,
% 212.04/134.70 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 212.04/134.70 inference(symmetry,[status(thm)],[671])).
% 212.04/134.70 tff(673,plain,
% 212.04/134.70 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(sk_c2, sk_c3))),
% 212.04/134.70 inference(transitivity,[status(thm)],[672, 670, 667, 462])).
% 212.04/134.70 tff(674,plain,
% 212.04/134.70 (identity = multiply(multiply(inverse(sk_c8), sk_c2), sk_c3)),
% 212.04/134.70 inference(transitivity,[status(thm)],[68, 655, 21])).
% 212.04/134.70 tff(675,plain,
% 212.04/134.70 (multiply(identity, sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1)),
% 212.04/134.70 inference(monotonicity,[status(thm)],[674])).
% 212.04/134.70 tff(676,plain,
% 212.04/134.70 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1) = multiply(identity, sk_c1)),
% 212.04/134.70 inference(symmetry,[status(thm)],[675])).
% 212.04/134.70 tff(677,plain,
% 212.04/134.70 (multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)) = sk_c1),
% 212.04/134.70 inference(transitivity,[status(thm)],[26, 676, 56])).
% 212.04/134.70 tff(678,plain,
% 212.04/134.70 (multiply(sk_c7, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(sk_c7, sk_c1)),
% 212.04/134.70 inference(monotonicity,[status(thm)],[677])).
% 212.04/134.70 tff(679,plain,
% 212.04/134.70 (multiply(multiply(sk_c7, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 212.04/134.70 inference(monotonicity,[status(thm)],[678, 673])).
% 212.04/134.70 tff(680,plain,
% 212.04/134.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))))),
% 212.04/134.70 inference(quant_inst,[status(thm)],[])).
% 212.04/134.70 tff(681,plain,
% 212.04/134.70 (multiply(multiply(sk_c7, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))))),
% 212.04/134.70 inference(unit_resolution,[status(thm)],[680, 18])).
% 212.04/134.70 tff(682,plain,
% 212.04/134.70 (multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) = multiply(multiply(sk_c7, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 212.04/134.70 inference(symmetry,[status(thm)],[681])).
% 212.04/134.70 tff(683,plain,
% 212.04/134.70 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 212.04/134.70 inference(monotonicity,[status(thm)],[677])).
% 212.04/134.70 tff(684,plain,
% 212.04/134.70 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 212.04/134.70 inference(symmetry,[status(thm)],[683])).
% 212.04/134.70 tff(685,plain,
% 212.04/134.70 (sk_c1 = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 212.04/134.70 inference(transitivity,[status(thm)],[138, 675, 25, 28, 305, 302, 684])).
% 212.04/134.70 tff(686,plain,
% 212.04/134.70 (multiply(sk_c7, sk_c1) = multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))))),
% 212.04/134.70 inference(monotonicity,[status(thm)],[685])).
% 212.04/134.70 tff(687,plain,
% 212.04/134.70 (identity = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 212.04/134.70 inference(transitivity,[status(thm)],[109, 653, 31])).
% 212.04/134.70 tff(688,plain,
% 212.04/134.71 (multiply(sk_c7, identity) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[203, 687])).
% 212.04/134.71 tff(689,plain,
% 212.04/134.71 (multiply(sk_c7, identity) = sk_c1),
% 212.04/134.71 inference(transitivity,[status(thm)],[688, 29, 26, 676, 56])).
% 212.04/134.71 tff(690,plain,
% 212.04/134.71 (multiply(sk_c7, multiply(sk_c7, identity)) = multiply(sk_c7, sk_c1)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[689])).
% 212.04/134.71 tff(691,plain,
% 212.04/134.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), identity) = multiply(sk_c7, multiply(sk_c7, identity)))),
% 212.04/134.71 inference(quant_inst,[status(thm)],[])).
% 212.04/134.71 tff(692,plain,
% 212.04/134.71 (multiply(multiply(sk_c7, sk_c7), identity) = multiply(sk_c7, multiply(sk_c7, identity))),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[691, 18])).
% 212.04/134.71 tff(693,plain,
% 212.04/134.71 (multiply(identity, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[674, 677])).
% 212.04/134.71 tff(694,plain,
% 212.04/134.71 (multiply(identity, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = sk_c1),
% 212.04/134.71 inference(transitivity,[status(thm)],[693, 676, 56])).
% 212.04/134.71 tff(695,plain,
% 212.04/134.71 (multiply(sk_c8, multiply(identity, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))) = multiply(inverse(sk_c1), sk_c1)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[636, 694])).
% 212.04/134.71 tff(696,plain,
% 212.04/134.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, identity), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(identity, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))))),
% 212.04/134.71 inference(quant_inst,[status(thm)],[])).
% 212.04/134.71 tff(697,plain,
% 212.04/134.71 (multiply(multiply(sk_c8, identity), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(identity, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))))),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[696, 18])).
% 212.04/134.71 tff(698,plain,
% 212.04/134.71 (multiply(sk_c8, identity) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[687])).
% 212.04/134.71 tff(699,plain,
% 212.04/134.71 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c8, identity)),
% 212.04/134.71 inference(symmetry,[status(thm)],[698])).
% 212.04/134.71 tff(700,plain,
% 212.04/134.71 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c8, identity), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[699])).
% 212.04/134.71 tff(701,plain,
% 212.04/134.71 (sk_c1 = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))),
% 212.04/134.71 inference(transitivity,[status(thm)],[138, 675, 25])).
% 212.04/134.71 tff(702,plain,
% 212.04/134.71 (multiply(sk_c8, multiply(sk_c2, sk_c3)) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.71 inference(transitivity,[status(thm)],[540, 666, 669, 671])).
% 212.04/134.71 tff(703,plain,
% 212.04/134.71 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c3)), sk_c1) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[702, 701])).
% 212.04/134.71 tff(704,plain,
% 212.04/134.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c2, sk_c3)), sk_c1) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c3), sk_c1)))),
% 212.04/134.71 inference(quant_inst,[status(thm)],[])).
% 212.04/134.71 tff(705,plain,
% 212.04/134.71 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c3)), sk_c1) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c3), sk_c1))),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[704, 18])).
% 212.04/134.71 tff(706,plain,
% 212.04/134.71 (multiply(sk_c8, multiply(multiply(sk_c2, sk_c3), sk_c1)) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c3)), sk_c1)),
% 212.04/134.71 inference(symmetry,[status(thm)],[705])).
% 212.04/134.71 tff(707,plain,
% 212.04/134.71 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(multiply(sk_c2, sk_c3), sk_c1))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[126])).
% 212.04/134.71 tff(708,plain,
% 212.04/134.71 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c3))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[654])).
% 212.04/134.71 tff(709,plain,
% 212.04/134.71 (multiply(sk_c8, sk_c8) = identity),
% 212.04/134.71 inference(transitivity,[status(thm)],[708, 540, 666, 669, 671, 707, 706, 703, 700, 697, 695, 108])).
% 212.04/134.71 tff(710,plain,
% 212.04/134.71 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, sk_c7), identity)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[709])).
% 212.04/134.71 tff(711,plain,
% 212.04/134.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), sk_c8) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, sk_c8)))),
% 212.04/134.71 inference(quant_inst,[status(thm)],[])).
% 212.04/134.71 tff(712,plain,
% 212.04/134.71 (multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), sk_c8) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, sk_c8))),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[711, 18])).
% 212.04/134.71 tff(713,plain,
% 212.04/134.71 ((~![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)))),
% 212.04/134.71 inference(quant_inst,[status(thm)],[])).
% 212.04/134.71 tff(714,plain,
% 212.04/134.71 (multiply(multiply(sk_c7, sk_c7), sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c8))),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[713, 18])).
% 212.04/134.71 tff(715,plain,
% 212.04/134.71 (multiply(sk_c7, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c7, sk_c7), sk_c8)),
% 212.04/134.71 inference(symmetry,[status(thm)],[714])).
% 212.04/134.71 tff(716,plain,
% 212.04/134.71 (multiply(sk_c7, sk_c8) = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 212.04/134.71 inference(transitivity,[status(thm)],[624, 67, 109, 653, 31])).
% 212.04/134.71 tff(717,plain,
% 212.04/134.71 (multiply(sk_c7, multiply(sk_c7, sk_c8)) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[203, 716])).
% 212.04/134.71 tff(718,plain,
% 212.04/134.71 (multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c7, multiply(sk_c7, sk_c8))),
% 212.04/134.71 inference(symmetry,[status(thm)],[717])).
% 212.04/134.71 tff(719,plain,
% 212.04/134.71 (sk_c1 = multiply(multiply(sk_c7, sk_c7), sk_c8)),
% 212.04/134.71 inference(transitivity,[status(thm)],[138, 675, 25, 28, 718, 715])).
% 212.04/134.71 tff(720,plain,
% 212.04/134.71 (multiply(sk_c1, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), sk_c8)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[719])).
% 212.04/134.71 tff(721,plain,
% 212.04/134.71 (inverse(sk_c8) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1)),
% 212.04/134.71 inference(transitivity,[status(thm)],[153, 348, 720, 712, 710, 692, 690, 686, 682, 679, 662, 660, 29, 26, 23])).
% 212.04/134.71 tff(722,plain,
% 212.04/134.71 ((inverse(sk_c8) = sk_c8) <=> (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[721])).
% 212.04/134.71 tff(723,plain,
% 212.04/134.71 (multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8) = multiply(sk_c1, sk_c8)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[694])).
% 212.04/134.71 tff(724,plain,
% 212.04/134.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8) = multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)))),
% 212.04/134.71 inference(quant_inst,[status(thm)],[])).
% 212.04/134.71 tff(725,plain,
% 212.04/134.71 (multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8) = multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8))),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[724, 18])).
% 212.04/134.71 tff(726,plain,
% 212.04/134.71 (multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)) = multiply(multiply(identity, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8)),
% 212.04/134.71 inference(symmetry,[status(thm)],[725])).
% 212.04/134.71 tff(727,plain,
% 212.04/134.71 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8) = multiply(sk_c1, sk_c8)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[677])).
% 212.04/134.71 tff(728,plain,
% 212.04/134.71 (multiply(sk_c1, sk_c8) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)),
% 212.04/134.71 inference(symmetry,[status(thm)],[727])).
% 212.04/134.71 tff(729,plain,
% 212.04/134.71 (sk_c7 = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)),
% 212.04/134.71 inference(transitivity,[status(thm)],[348, 728])).
% 212.04/134.71 tff(730,plain,
% 212.04/134.71 (multiply(identity, sk_c7) = multiply(identity, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[729])).
% 212.04/134.71 tff(731,plain,
% 212.04/134.71 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[702])).
% 212.04/134.71 tff(732,plain,
% 212.04/134.71 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 212.04/134.71 inference(symmetry,[status(thm)],[731])).
% 212.04/134.71 tff(733,plain,
% 212.04/134.71 (sk_c1 = identity),
% 212.04/134.71 inference(transitivity,[status(thm)],[138, 675, 25, 28, 305, 302, 732, 325, 658, 656, 67])).
% 212.04/134.71 tff(734,plain,
% 212.04/134.71 (multiply(sk_c1, sk_c7) = multiply(identity, sk_c7)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[733])).
% 212.04/134.71 tff(735,plain,
% 212.04/134.71 (multiply(sk_c1, sk_c7) = inverse(sk_c8)),
% 212.04/134.71 inference(transitivity,[status(thm)],[734, 730, 726, 723, 255, 203])).
% 212.04/134.71 tff(736,plain,
% 212.04/134.71 ((multiply(sk_c1, sk_c7) = sk_c8) <=> (inverse(sk_c8) = sk_c8)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[735])).
% 212.04/134.71 tff(737,plain,
% 212.04/134.71 (multiply(sk_c8, sk_c5) = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 212.04/134.71 inference(transitivity,[status(thm)],[580, 183, 109, 653, 31])).
% 212.04/134.71 tff(738,plain,
% 212.04/134.71 (multiply(sk_c7, multiply(sk_c8, sk_c5)) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[203, 737])).
% 212.04/134.71 tff(739,plain,
% 212.04/134.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c5) = multiply(sk_c7, multiply(sk_c8, sk_c5)))),
% 212.04/134.71 inference(quant_inst,[status(thm)],[])).
% 212.04/134.71 tff(740,plain,
% 212.04/134.71 (multiply(multiply(sk_c7, sk_c8), sk_c5) = multiply(sk_c7, multiply(sk_c8, sk_c5))),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[739, 18])).
% 212.04/134.71 tff(741,plain,
% 212.04/134.71 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, sk_c8)),
% 212.04/134.71 inference(symmetry,[status(thm)],[624])).
% 212.04/134.71 tff(742,plain,
% 212.04/134.71 (identity = multiply(sk_c7, sk_c8)),
% 212.04/134.71 inference(transitivity,[status(thm)],[68, 741])).
% 212.04/134.71 tff(743,plain,
% 212.04/134.71 (multiply(identity, sk_c5) = multiply(multiply(sk_c7, sk_c8), sk_c5)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[742])).
% 212.04/134.71 tff(744,plain,
% 212.04/134.71 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 212.04/134.71 inference(quant_inst,[status(thm)],[])).
% 212.04/134.71 tff(745,plain,
% 212.04/134.71 (multiply(identity, sk_c5) = sk_c5),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[744, 7])).
% 212.04/134.71 tff(746,plain,
% 212.04/134.71 (sk_c5 = multiply(identity, sk_c5)),
% 212.04/134.71 inference(symmetry,[status(thm)],[745])).
% 212.04/134.71 tff(747,plain,
% 212.04/134.71 (sk_c5 = sk_c1),
% 212.04/134.71 inference(transitivity,[status(thm)],[746, 743, 740, 738, 29, 26, 676, 56])).
% 212.04/134.71 tff(748,plain,
% 212.04/134.71 (multiply(sk_c5, sk_c7) = multiply(sk_c1, sk_c7)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[747])).
% 212.04/134.71 tff(749,plain,
% 212.04/134.71 ((multiply(sk_c5, sk_c7) = sk_c8) <=> (multiply(sk_c1, sk_c7) = sk_c8)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[748])).
% 212.04/134.71 tff(750,plain,
% 212.04/134.71 ((multiply(sk_c5, sk_c7) = sk_c8) <=> (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8)),
% 212.04/134.71 inference(transitivity,[status(thm)],[749, 736, 722])).
% 212.04/134.71 tff(751,plain,
% 212.04/134.71 ((~(multiply(sk_c5, sk_c7) = sk_c8)) <=> (~(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[750])).
% 212.04/134.71 tff(752,plain,
% 212.04/134.71 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c1, sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.71 inference(symmetry,[status(thm)],[302])).
% 212.04/134.71 tff(753,plain,
% 212.04/134.71 (identity = sk_c1),
% 212.04/134.71 inference(transitivity,[status(thm)],[68, 655, 657, 324, 731, 752, 304, 29, 26, 676, 56])).
% 212.04/134.71 tff(754,plain,
% 212.04/134.71 (multiply(identity, sk_c8) = multiply(sk_c1, sk_c8)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[753])).
% 212.04/134.71 tff(755,plain,
% 212.04/134.71 (multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(inverse(sk_c1), sk_c1)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[636, 677])).
% 212.04/134.71 tff(756,plain,
% 212.04/134.71 (multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = identity),
% 212.04/134.71 inference(transitivity,[status(thm)],[755, 108])).
% 212.04/134.71 tff(757,plain,
% 212.04/134.71 (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8) = multiply(identity, sk_c8)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[756])).
% 212.04/134.71 tff(758,plain,
% 212.04/134.71 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[729])).
% 212.04/134.71 tff(759,plain,
% 212.04/134.71 (multiply(sk_c8, sk_c7) = sk_c7),
% 212.04/134.71 inference(transitivity,[status(thm)],[758, 378, 757, 754, 255])).
% 212.04/134.71 tff(760,plain,
% 212.04/134.71 (multiply(sk_c5, sk_c8) = multiply(sk_c1, sk_c8)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[747])).
% 212.04/134.71 tff(761,plain,
% 212.04/134.71 (multiply(sk_c5, sk_c8) = sk_c7),
% 212.04/134.71 inference(transitivity,[status(thm)],[760, 255])).
% 212.04/134.71 tff(762,plain,
% 212.04/134.71 (((inverse(sk_c2) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7))),
% 212.04/134.71 inference(rewrite,[status(thm)],[])).
% 212.04/134.71 tff(763,axiom,((inverse(sk_c2) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_22')).
% 212.04/134.71 tff(764,plain,
% 212.04/134.71 ((inverse(sk_c2) = sk_c3) | (multiply(sk_c8, sk_c6) = sk_c7)),
% 212.04/134.71 inference(modus_ponens,[status(thm)],[763, 762])).
% 212.04/134.71 tff(765,plain,
% 212.04/134.71 (inverse(sk_c2) = sk_c3),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[764, 646])).
% 212.04/134.71 tff(766,plain,
% 212.04/134.71 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c2) = sk_c3)) | (~(multiply(sk_c2, sk_c3) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c2) = sk_c3)) | (~(multiply(sk_c2, sk_c3) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)))),
% 212.04/134.71 inference(rewrite,[status(thm)],[])).
% 212.04/134.71 tff(767,plain,
% 212.04/134.71 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c2) = sk_c3)) | (~(multiply(sk_c2, sk_c3) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c2) = sk_c3)) | (~(multiply(sk_c2, sk_c3) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)))),
% 212.04/134.71 inference(rewrite,[status(thm)],[])).
% 212.04/134.71 tff(768,plain,
% 212.04/134.71 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c2) = sk_c3)) | (~(multiply(sk_c2, sk_c3) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c2) = sk_c3)) | (~(multiply(sk_c2, sk_c3) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7))))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[767])).
% 212.04/134.71 tff(769,plain,
% 212.04/134.71 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c2) = sk_c3)) | (~(multiply(sk_c2, sk_c3) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c2) = sk_c3)) | (~(multiply(sk_c2, sk_c3) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)))),
% 212.04/134.71 inference(transitivity,[status(thm)],[768, 766])).
% 212.04/134.71 tff(770,plain,
% 212.04/134.71 ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c2) = sk_c3)) | (~(multiply(sk_c2, sk_c3) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)))),
% 212.04/134.71 inference(quant_inst,[status(thm)],[])).
% 212.04/134.71 tff(771,plain,
% 212.04/134.71 ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c2) = sk_c3)) | (~(multiply(sk_c2, sk_c3) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7))),
% 212.04/134.71 inference(modus_ponens,[status(thm)],[770, 769])).
% 212.04/134.71 tff(772,plain,
% 212.04/134.71 ((~(multiply(sk_c5, sk_c7) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c7))),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[771, 153, 578, 650, 765, 246])).
% 212.04/134.71 tff(773,plain,
% 212.04/134.71 (~(multiply(sk_c5, sk_c7) = sk_c8)),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[772, 761, 759])).
% 212.04/134.71 tff(774,plain,
% 212.04/134.71 (~(multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8)),
% 212.04/134.71 inference(modus_ponens,[status(thm)],[773, 751])).
% 212.04/134.71 tff(775,plain,
% 212.04/134.71 (multiply(sk_c1, sk_c8) = multiply(identity, sk_c8)),
% 212.04/134.71 inference(symmetry,[status(thm)],[754])).
% 212.04/134.71 tff(776,plain,
% 212.04/134.71 (multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), sk_c8) = multiply(sk_c1, sk_c8)),
% 212.04/134.71 inference(symmetry,[status(thm)],[720])).
% 212.04/134.71 tff(777,plain,
% 212.04/134.71 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), sk_c8)),
% 212.04/134.71 inference(symmetry,[status(thm)],[712])).
% 212.04/134.71 tff(778,plain,
% 212.04/134.71 (multiply(multiply(sk_c7, sk_c7), identity) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, sk_c8))),
% 212.04/134.71 inference(symmetry,[status(thm)],[710])).
% 212.04/134.71 tff(779,plain,
% 212.04/134.71 (multiply(sk_c7, multiply(sk_c7, identity)) = multiply(multiply(sk_c7, sk_c7), identity)),
% 212.04/134.71 inference(symmetry,[status(thm)],[692])).
% 212.04/134.71 tff(780,plain,
% 212.04/134.71 (multiply(sk_c7, sk_c1) = multiply(sk_c7, multiply(sk_c7, identity))),
% 212.04/134.71 inference(symmetry,[status(thm)],[690])).
% 212.04/134.71 tff(781,plain,
% 212.04/134.71 (multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) = multiply(sk_c7, sk_c1)),
% 212.04/134.71 inference(symmetry,[status(thm)],[686])).
% 212.04/134.71 tff(782,plain,
% 212.04/134.71 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c7, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 212.04/134.71 inference(symmetry,[status(thm)],[679])).
% 212.04/134.71 tff(783,plain,
% 212.04/134.71 (multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 212.04/134.71 inference(symmetry,[status(thm)],[662])).
% 212.04/134.71 tff(784,plain,
% 212.04/134.71 (multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 212.04/134.71 inference(symmetry,[status(thm)],[660])).
% 212.04/134.71 tff(785,plain,
% 212.04/134.71 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8),
% 212.04/134.71 inference(transitivity,[status(thm)],[22, 25, 28, 784, 783, 782, 681, 781, 780, 779, 778, 777, 776, 775, 155])).
% 212.04/134.71 tff(786,plain,
% 212.04/134.71 ($false),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[785, 774])).
% 212.04/134.71 tff(787,plain,(multiply(sk_c8, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 212.04/134.71 tff(788,plain,
% 212.04/134.71 (sk_c7 = multiply(sk_c8, sk_c6)),
% 212.04/134.71 inference(symmetry,[status(thm)],[787])).
% 212.04/134.71 tff(789,plain,
% 212.04/134.71 (inverse(sk_c8) = sk_c8),
% 212.04/134.71 inference(transitivity,[status(thm)],[153, 788, 645, 199, 638, 155])).
% 212.04/134.71 tff(790,plain,
% 212.04/134.71 ((multiply(sk_c1, sk_c8) = sk_c8) <=> (inverse(sk_c8) = sk_c8)),
% 212.04/134.71 inference(monotonicity,[status(thm)],[303])).
% 212.04/134.71 tff(791,plain,
% 212.04/134.71 ((~(multiply(sk_c1, sk_c8) = sk_c8)) <=> (~(inverse(sk_c8) = sk_c8))),
% 212.04/134.71 inference(monotonicity,[status(thm)],[790])).
% 212.04/134.71 tff(792,plain,
% 212.04/134.71 (((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)) <=> ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8))),
% 212.04/134.71 inference(rewrite,[status(thm)],[])).
% 212.04/134.71 tff(793,axiom,((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_15')).
% 212.04/134.71 tff(794,plain,
% 212.04/134.71 ((multiply(sk_c2, sk_c3) = sk_c8) | (multiply(sk_c4, sk_c7) = sk_c8)),
% 212.04/134.71 inference(modus_ponens,[status(thm)],[793, 792])).
% 212.04/134.71 tff(795,plain,
% 212.04/134.71 (multiply(sk_c4, sk_c7) = sk_c8),
% 212.04/134.71 inference(unit_resolution,[status(thm)],[794, 639])).
% 212.04/134.71 tff(796,plain,
% 212.04/134.71 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8))),
% 212.04/134.71 inference(rewrite,[status(thm)],[])).
% 212.04/134.71 tff(797,plain,
% 212.04/134.71 (((multiply(sk_c2, sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8))),
% 212.04/134.71 inference(rewrite,[status(thm)],[])).
% 212.04/134.71 tff(798,axiom,((multiply(sk_c2, sk_c3) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_14')).
% 212.04/134.72 tff(799,plain,
% 212.04/134.72 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8)),
% 212.04/134.72 inference(modus_ponens,[status(thm)],[798, 797])).
% 212.04/134.72 tff(800,plain,
% 212.04/134.72 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c3) = sk_c8)),
% 212.04/134.72 inference(modus_ponens,[status(thm)],[799, 796])).
% 212.04/134.72 tff(801,plain,
% 212.04/134.72 (inverse(sk_c4) = sk_c8),
% 212.04/134.72 inference(unit_resolution,[status(thm)],[800, 639])).
% 212.04/134.72 tff(802,plain,
% 212.04/134.72 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)))),
% 212.04/134.72 inference(rewrite,[status(thm)],[])).
% 212.04/134.72 tff(803,plain,
% 212.04/134.72 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)))),
% 212.04/134.72 inference(rewrite,[status(thm)],[])).
% 212.04/134.72 tff(804,plain,
% 212.04/134.72 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6))))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[803])).
% 212.04/134.72 tff(805,plain,
% 212.04/134.72 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)))),
% 212.04/134.72 inference(transitivity,[status(thm)],[804, 802])).
% 212.04/134.72 tff(806,plain,
% 212.04/134.72 ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c8)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)))),
% 212.04/134.72 inference(quant_inst,[status(thm)],[])).
% 212.04/134.72 tff(807,plain,
% 212.04/134.72 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c1, sk_c8) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6))),
% 212.04/134.72 inference(modus_ponens,[status(thm)],[806, 805])).
% 212.04/134.72 tff(808,plain,
% 212.04/134.72 (~(multiply(sk_c1, sk_c8) = sk_c8)),
% 212.04/134.72 inference(unit_resolution,[status(thm)],[807, 255, 153, 801, 795, 787, 643, 578, 635, 246])).
% 212.04/134.72 tff(809,plain,
% 212.04/134.72 (~(inverse(sk_c8) = sk_c8)),
% 212.04/134.72 inference(modus_ponens,[status(thm)],[808, 791])).
% 212.04/134.72 tff(810,plain,
% 212.04/134.72 ($false),
% 212.04/134.72 inference(unit_resolution,[status(thm)],[809, 789])).
% 212.04/134.72 tff(811,plain,(multiply(sk_c2, sk_c3) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 212.04/134.72 tff(812,plain,
% 212.04/134.72 (multiply(sk_c2, sk_c3) = inverse(sk_c1)),
% 212.04/134.72 inference(transitivity,[status(thm)],[811, 636])).
% 212.04/134.72 tff(813,plain,
% 212.04/134.72 (multiply(multiply(sk_c2, sk_c3), sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[812])).
% 212.04/134.72 tff(814,plain,
% 212.04/134.72 (multiply(inverse(sk_c1), sk_c1) = multiply(multiply(sk_c2, sk_c3), sk_c1)),
% 212.04/134.72 inference(symmetry,[status(thm)],[813])).
% 212.04/134.72 tff(815,plain,
% 212.04/134.72 (sk_c8 = multiply(sk_c2, sk_c3)),
% 212.04/134.72 inference(symmetry,[status(thm)],[811])).
% 212.04/134.72 tff(816,plain,
% 212.04/134.72 (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[815])).
% 212.04/134.72 tff(817,plain,
% 212.04/134.72 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = multiply(inverse(sk_c8), sk_c8)),
% 212.04/134.72 inference(symmetry,[status(thm)],[816])).
% 212.04/134.72 tff(818,plain,
% 212.04/134.72 (multiply(sk_c8, sk_c6) = inverse(sk_c8)),
% 212.04/134.72 inference(transitivity,[status(thm)],[787, 203])).
% 212.04/134.72 tff(819,plain,
% 212.04/134.72 (multiply(multiply(sk_c8, sk_c6), multiply(sk_c2, sk_c3)) = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[818])).
% 212.04/134.72 tff(820,plain,
% 212.04/134.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c6), multiply(sk_c2, sk_c3)) = multiply(sk_c8, multiply(sk_c6, multiply(sk_c2, sk_c3))))),
% 212.04/134.72 inference(quant_inst,[status(thm)],[])).
% 212.04/134.72 tff(821,plain,
% 212.04/134.72 (multiply(multiply(sk_c8, sk_c6), multiply(sk_c2, sk_c3)) = multiply(sk_c8, multiply(sk_c6, multiply(sk_c2, sk_c3)))),
% 212.04/134.72 inference(unit_resolution,[status(thm)],[820, 18])).
% 212.04/134.72 tff(822,plain,
% 212.04/134.72 (multiply(sk_c8, multiply(sk_c6, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c8, sk_c6), multiply(sk_c2, sk_c3))),
% 212.04/134.72 inference(symmetry,[status(thm)],[821])).
% 212.04/134.72 tff(823,plain,
% 212.04/134.72 (multiply(sk_c8, multiply(sk_c6, multiply(sk_c2, sk_c3))) = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 212.04/134.72 inference(transitivity,[status(thm)],[822, 819, 817, 67, 109, 814, 31])).
% 212.04/134.72 tff(824,plain,
% 212.04/134.72 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, multiply(sk_c2, sk_c3)))) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[203, 823])).
% 212.04/134.72 tff(825,plain,
% 212.04/134.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), multiply(sk_c6, multiply(sk_c2, sk_c3))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, multiply(sk_c2, sk_c3)))))),
% 212.04/134.72 inference(quant_inst,[status(thm)],[])).
% 212.04/134.72 tff(826,plain,
% 212.04/134.72 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c6, multiply(sk_c2, sk_c3))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, multiply(sk_c2, sk_c3))))),
% 212.04/134.72 inference(unit_resolution,[status(thm)],[825, 18])).
% 212.04/134.72 tff(827,plain,
% 212.04/134.72 (multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c6, multiply(sk_c2, sk_c3)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[742])).
% 212.04/134.72 tff(828,plain,
% 212.04/134.72 (multiply(sk_c6, multiply(sk_c2, sk_c3)) = multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3)))),
% 212.04/134.72 inference(symmetry,[status(thm)],[9])).
% 212.04/134.72 tff(829,plain,
% 212.04/134.72 (multiply(sk_c6, multiply(sk_c2, sk_c3)) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1)),
% 212.04/134.72 inference(transitivity,[status(thm)],[828, 827, 826, 824, 29, 26, 23])).
% 212.04/134.72 tff(830,plain,
% 212.04/134.72 ((multiply(sk_c6, multiply(sk_c2, sk_c3)) = sk_c8) <=> (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[829])).
% 212.04/134.72 tff(831,plain,
% 212.04/134.72 ((multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8) <=> (multiply(sk_c6, multiply(sk_c2, sk_c3)) = sk_c8)),
% 212.04/134.72 inference(symmetry,[status(thm)],[830])).
% 212.04/134.72 tff(832,plain,
% 212.04/134.72 ((multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8) <=> (multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8)),
% 212.04/134.72 inference(transitivity,[status(thm)],[831, 11])).
% 212.04/134.72 tff(833,plain,
% 212.04/134.72 (identity = multiply(multiply(inverse(sk_c8), sk_c2), sk_c3)),
% 212.04/134.72 inference(transitivity,[status(thm)],[68, 816, 21])).
% 212.04/134.72 tff(834,plain,
% 212.04/134.72 (multiply(identity, sk_c1) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[833])).
% 212.04/134.72 tff(835,plain,
% 212.04/134.72 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), sk_c3), sk_c1) = multiply(identity, sk_c1)),
% 212.04/134.72 inference(symmetry,[status(thm)],[834])).
% 212.04/134.72 tff(836,plain,
% 212.04/134.72 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 212.04/134.72 inference(transitivity,[status(thm)],[325, 658, 817, 67, 109, 814, 31])).
% 212.04/134.72 tff(837,plain,
% 212.04/134.72 (multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[836])).
% 212.04/134.72 tff(838,plain,
% 212.04/134.72 (multiply(sk_c8, multiply(sk_c2, sk_c3)) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.72 inference(transitivity,[status(thm)],[540, 666, 669, 837])).
% 212.04/134.72 tff(839,plain,
% 212.04/134.72 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[838])).
% 212.04/134.72 tff(840,plain,
% 212.04/134.72 (identity = sk_c1),
% 212.04/134.72 inference(transitivity,[status(thm)],[68, 816, 657, 324, 839, 752, 304, 29, 26, 835, 56])).
% 212.04/134.72 tff(841,plain,
% 212.04/134.72 (multiply(identity, sk_c8) = multiply(sk_c1, sk_c8)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[840])).
% 212.04/134.72 tff(842,plain,
% 212.04/134.72 (multiply(sk_c1, sk_c8) = multiply(identity, sk_c8)),
% 212.04/134.72 inference(symmetry,[status(thm)],[841])).
% 212.04/134.72 tff(843,plain,
% 212.04/134.72 (multiply(sk_c7, sk_c8) = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 212.04/134.72 inference(transitivity,[status(thm)],[624, 67, 109, 814, 31])).
% 212.04/134.72 tff(844,plain,
% 212.04/134.72 (multiply(sk_c7, multiply(sk_c7, sk_c8)) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[203, 843])).
% 212.04/134.72 tff(845,plain,
% 212.04/134.72 (multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c7, multiply(sk_c7, sk_c8))),
% 212.04/134.72 inference(symmetry,[status(thm)],[844])).
% 212.04/134.72 tff(846,plain,
% 212.04/134.72 (sk_c1 = multiply(multiply(sk_c7, sk_c7), sk_c8)),
% 212.04/134.72 inference(transitivity,[status(thm)],[138, 834, 25, 28, 845, 715])).
% 212.04/134.72 tff(847,plain,
% 212.04/134.72 (multiply(sk_c1, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), sk_c8)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[846])).
% 212.04/134.72 tff(848,plain,
% 212.04/134.72 (multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), sk_c8) = multiply(sk_c1, sk_c8)),
% 212.04/134.72 inference(symmetry,[status(thm)],[847])).
% 212.04/134.72 tff(849,plain,
% 212.04/134.72 (multiply(sk_c8, multiply(identity, sk_c5)) = multiply(inverse(sk_c5), sk_c5)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[579, 745])).
% 212.04/134.72 tff(850,plain,
% 212.04/134.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, identity), sk_c5) = multiply(sk_c8, multiply(identity, sk_c5)))),
% 212.04/134.72 inference(quant_inst,[status(thm)],[])).
% 212.04/134.72 tff(851,plain,
% 212.04/134.72 (multiply(multiply(sk_c8, identity), sk_c5) = multiply(sk_c8, multiply(identity, sk_c5))),
% 212.04/134.72 inference(unit_resolution,[status(thm)],[850, 18])).
% 212.04/134.72 tff(852,plain,
% 212.04/134.72 (multiply(multiply(sk_c7, sk_c8), sk_c5) = multiply(identity, sk_c5)),
% 212.04/134.72 inference(symmetry,[status(thm)],[743])).
% 212.04/134.72 tff(853,plain,
% 212.04/134.72 (multiply(sk_c7, multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c7, sk_c8), sk_c5)),
% 212.04/134.72 inference(symmetry,[status(thm)],[740])).
% 212.04/134.72 tff(854,plain,
% 212.04/134.72 (multiply(sk_c8, sk_c5) = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 212.04/134.72 inference(transitivity,[status(thm)],[580, 183, 109, 814, 31])).
% 212.04/134.72 tff(855,plain,
% 212.04/134.72 (multiply(sk_c7, multiply(sk_c8, sk_c5)) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[203, 854])).
% 212.04/134.72 tff(856,plain,
% 212.04/134.72 (multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c7, multiply(sk_c8, sk_c5))),
% 212.04/134.72 inference(symmetry,[status(thm)],[855])).
% 212.04/134.72 tff(857,plain,
% 212.04/134.72 (multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)) = sk_c5),
% 212.04/134.72 inference(transitivity,[status(thm)],[28, 856, 853, 852, 745])).
% 212.04/134.72 tff(858,plain,
% 212.04/134.72 (identity = multiply(sk_c2, multiply(sk_c3, sk_c1))),
% 212.04/134.72 inference(transitivity,[status(thm)],[109, 814, 31])).
% 212.04/134.72 tff(859,plain,
% 212.04/134.72 (multiply(sk_c8, identity) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[858])).
% 212.04/134.72 tff(860,plain,
% 212.04/134.72 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c8, identity)),
% 212.04/134.72 inference(symmetry,[status(thm)],[859])).
% 212.04/134.72 tff(861,plain,
% 212.04/134.72 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c8, identity), sk_c5)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[860, 857])).
% 212.04/134.72 tff(862,plain,
% 212.04/134.72 (sk_c1 = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))),
% 212.04/134.72 inference(transitivity,[status(thm)],[138, 834, 25])).
% 212.04/134.72 tff(863,plain,
% 212.04/134.72 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c3)), sk_c1) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[838, 862])).
% 212.04/134.72 tff(864,plain,
% 212.04/134.72 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c3))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[815])).
% 212.04/134.72 tff(865,plain,
% 212.04/134.72 (multiply(sk_c8, sk_c8) = identity),
% 212.04/134.72 inference(transitivity,[status(thm)],[864, 540, 666, 669, 837, 707, 706, 863, 861, 851, 849, 183])).
% 212.04/134.72 tff(866,plain,
% 212.04/134.72 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, sk_c7), identity)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[865])).
% 212.04/134.72 tff(867,plain,
% 212.04/134.72 (multiply(multiply(sk_c7, sk_c7), identity) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, sk_c8))),
% 212.04/134.72 inference(symmetry,[status(thm)],[866])).
% 212.04/134.72 tff(868,plain,
% 212.04/134.72 (multiply(sk_c7, identity) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[203, 858])).
% 212.04/134.72 tff(869,plain,
% 212.04/134.72 (multiply(sk_c7, identity) = sk_c1),
% 212.04/134.72 inference(transitivity,[status(thm)],[868, 29, 26, 835, 56])).
% 212.04/134.72 tff(870,plain,
% 212.04/134.72 (multiply(sk_c7, multiply(sk_c7, identity)) = multiply(sk_c7, sk_c1)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[869])).
% 212.04/134.72 tff(871,plain,
% 212.04/134.72 (multiply(sk_c7, sk_c1) = multiply(sk_c7, multiply(sk_c7, identity))),
% 212.04/134.72 inference(symmetry,[status(thm)],[870])).
% 212.04/134.72 tff(872,plain,
% 212.04/134.72 (multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)) = sk_c1),
% 212.04/134.72 inference(transitivity,[status(thm)],[26, 835, 56])).
% 212.04/134.72 tff(873,plain,
% 212.04/134.72 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[872])).
% 212.04/134.72 tff(874,plain,
% 212.04/134.72 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 212.04/134.72 inference(symmetry,[status(thm)],[873])).
% 212.04/134.72 tff(875,plain,
% 212.04/134.72 (sk_c1 = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 212.04/134.72 inference(transitivity,[status(thm)],[138, 834, 25, 28, 305, 302, 874])).
% 212.04/134.72 tff(876,plain,
% 212.04/134.72 (multiply(sk_c7, sk_c1) = multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[875])).
% 212.04/134.72 tff(877,plain,
% 212.04/134.72 (multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))) = multiply(sk_c7, sk_c1)),
% 212.04/134.72 inference(symmetry,[status(thm)],[876])).
% 212.04/134.72 tff(878,plain,
% 212.04/134.72 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 212.04/134.72 inference(symmetry,[status(thm)],[837])).
% 212.04/134.72 tff(879,plain,
% 212.04/134.72 (multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c8, multiply(sk_c2, sk_c3))),
% 212.04/134.72 inference(transitivity,[status(thm)],[878, 670, 667, 462])).
% 212.04/134.72 tff(880,plain,
% 212.04/134.72 (multiply(sk_c7, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(sk_c7, sk_c1)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[872])).
% 212.04/134.72 tff(881,plain,
% 212.04/134.72 (multiply(multiply(sk_c7, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[880, 879])).
% 212.04/134.72 tff(882,plain,
% 212.04/134.72 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c8, multiply(sk_c2, sk_c3))) = multiply(multiply(sk_c7, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))))),
% 212.04/134.72 inference(symmetry,[status(thm)],[881])).
% 212.04/134.72 tff(883,plain,
% 212.04/134.72 (multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))) = multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[203, 836])).
% 212.04/134.72 tff(884,plain,
% 212.04/134.72 (multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c7, multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3))))),
% 212.04/134.72 inference(symmetry,[status(thm)],[883])).
% 212.04/134.72 tff(885,plain,
% 212.04/134.72 (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8),
% 212.04/134.72 inference(transitivity,[status(thm)],[22, 25, 28, 884, 783, 882, 681, 877, 871, 779, 867, 777, 848, 842, 155])).
% 212.04/134.72 tff(886,plain,
% 212.04/134.72 (multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8),
% 212.04/134.72 inference(modus_ponens,[status(thm)],[885, 832])).
% 212.04/134.72 tff(887,plain,
% 212.04/134.72 (multiply(sk_c6, multiply(sk_c2, sk_c3)) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))),
% 212.04/134.72 inference(transitivity,[status(thm)],[828, 827, 826, 824, 29])).
% 212.04/134.72 tff(888,plain,
% 212.04/134.72 ((inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3))) <=> (inverse(identity) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[887])).
% 212.04/134.72 tff(889,plain,
% 212.04/134.72 ((inverse(identity) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) <=> (inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))),
% 212.04/134.72 inference(symmetry,[status(thm)],[888])).
% 212.04/134.72 tff(890,plain,
% 212.04/134.72 (identity = multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))),
% 212.04/134.72 inference(transitivity,[status(thm)],[68, 816])).
% 212.04/134.72 tff(891,plain,
% 212.04/134.72 (inverse(identity) = inverse(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[890])).
% 212.04/134.72 tff(892,plain,
% 212.04/134.72 ((inverse(identity) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) <=> (inverse(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = sk_c1)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[891, 872])).
% 212.04/134.72 tff(893,plain,
% 212.04/134.72 ((inverse(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = sk_c1) <=> (inverse(identity) = multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 212.04/134.72 inference(symmetry,[status(thm)],[892])).
% 212.04/134.72 tff(894,plain,
% 212.04/134.72 ((sk_c8 = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1)) <=> (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8)),
% 212.04/134.72 inference(commutativity,[status(thm)],[])).
% 212.04/134.72 tff(895,plain,
% 212.04/134.72 (sk_c1 = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1)),
% 212.04/134.72 inference(transitivity,[status(thm)],[138, 834, 23])).
% 212.04/134.72 tff(896,plain,
% 212.04/134.72 (multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)) = sk_c1),
% 212.04/134.72 inference(transitivity,[status(thm)],[657, 324, 839, 752, 304, 29, 26, 835, 56])).
% 212.04/134.72 tff(897,plain,
% 212.04/134.72 (inverse(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = inverse(sk_c1)),
% 212.04/134.72 inference(monotonicity,[status(thm)],[896])).
% 212.04/134.72 tff(898,plain,
% 212.04/134.72 (inverse(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = sk_c8),
% 212.04/134.72 inference(transitivity,[status(thm)],[897, 635])).
% 212.04/134.72 tff(899,plain,
% 212.04/134.72 ((inverse(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = sk_c1) <=> (sk_c8 = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1))),
% 212.04/134.72 inference(monotonicity,[status(thm)],[898, 895])).
% 212.04/134.72 tff(900,plain,
% 212.04/134.72 ((inverse(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = sk_c1) <=> (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8)),
% 212.04/134.72 inference(transitivity,[status(thm)],[899, 894])).
% 212.04/134.72 tff(901,plain,
% 212.04/134.72 ((multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8) <=> (inverse(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3))) = sk_c1)),
% 212.04/134.72 inference(symmetry,[status(thm)],[900])).
% 212.04/134.72 tff(902,plain,
% 212.04/134.72 ((multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8) <=> (inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))),
% 212.04/134.72 inference(transitivity,[status(thm)],[901, 893, 889])).
% 212.04/134.72 tff(903,plain,
% 212.04/134.72 (inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3))),
% 212.04/134.72 inference(modus_ponens,[status(thm)],[885, 902])).
% 212.04/134.72 tff(904,plain,
% 212.04/134.72 (sk_c5 = sk_c1),
% 212.04/134.72 inference(transitivity,[status(thm)],[746, 743, 740, 855, 29, 26, 835, 56])).
% 212.04/134.73 tff(905,plain,
% 212.04/134.73 (multiply(sk_c5, sk_c8) = multiply(sk_c1, sk_c8)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[904])).
% 212.04/134.73 tff(906,plain,
% 212.04/134.73 (multiply(sk_c5, sk_c8) = sk_c7),
% 212.04/134.73 inference(transitivity,[status(thm)],[905, 255])).
% 212.04/134.73 tff(907,plain,
% 212.04/134.73 (multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(inverse(sk_c1), sk_c1)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[636, 872])).
% 212.04/134.73 tff(908,plain,
% 212.04/134.73 (multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = identity),
% 212.04/134.73 inference(transitivity,[status(thm)],[907, 108])).
% 212.04/134.73 tff(909,plain,
% 212.04/134.73 (multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8) = multiply(identity, sk_c8)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[908])).
% 212.04/134.73 tff(910,plain,
% 212.04/134.73 (multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8) = multiply(sk_c1, sk_c8)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[872])).
% 212.04/134.73 tff(911,plain,
% 212.04/134.73 (multiply(sk_c1, sk_c8) = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)),
% 212.04/134.73 inference(symmetry,[status(thm)],[910])).
% 212.04/134.73 tff(912,plain,
% 212.04/134.73 (sk_c7 = multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)),
% 212.04/134.73 inference(transitivity,[status(thm)],[348, 911])).
% 212.04/134.73 tff(913,plain,
% 212.04/134.73 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8))),
% 212.04/134.73 inference(monotonicity,[status(thm)],[912])).
% 212.04/134.73 tff(914,plain,
% 212.04/134.73 (multiply(sk_c8, sk_c7) = inverse(sk_c8)),
% 212.04/134.73 inference(transitivity,[status(thm)],[913, 378, 909, 841, 255, 203])).
% 212.04/134.73 tff(915,plain,
% 212.04/134.73 ((multiply(sk_c8, sk_c7) = sk_c8) <=> (inverse(sk_c8) = sk_c8)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[914])).
% 212.04/134.73 tff(916,plain,
% 212.04/134.73 ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 212.04/134.73 inference(symmetry,[status(thm)],[915])).
% 212.04/134.73 tff(917,plain,
% 212.04/134.73 (inverse(sk_c8) = multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1)),
% 212.04/134.73 inference(transitivity,[status(thm)],[153, 348, 847, 712, 866, 692, 870, 876, 682, 881, 662, 883, 29, 26, 23])).
% 212.04/134.73 tff(918,plain,
% 212.04/134.73 ((inverse(sk_c8) = sk_c8) <=> (multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[917])).
% 212.04/134.73 tff(919,plain,
% 212.04/134.73 ((multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8) <=> (inverse(sk_c8) = sk_c8)),
% 212.04/134.73 inference(symmetry,[status(thm)],[918])).
% 212.04/134.73 tff(920,plain,
% 212.04/134.73 ((multiply(multiply(inverse(sk_c8), multiply(sk_c2, sk_c3)), sk_c1) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 212.04/134.73 inference(transitivity,[status(thm)],[919, 916])).
% 212.04/134.73 tff(921,plain,
% 212.04/134.73 (multiply(sk_c8, sk_c7) = sk_c8),
% 212.04/134.73 inference(modus_ponens,[status(thm)],[885, 920])).
% 212.04/134.73 tff(922,plain,
% 212.04/134.73 ((multiply(sk_c5, sk_c8) = sk_c6) <=> (multiply(sk_c1, sk_c8) = sk_c6)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[905])).
% 212.04/134.73 tff(923,plain,
% 212.04/134.73 ((multiply(sk_c1, sk_c8) = sk_c6) <=> (multiply(sk_c5, sk_c8) = sk_c6)),
% 212.04/134.73 inference(symmetry,[status(thm)],[922])).
% 212.04/134.73 tff(924,plain,
% 212.04/134.73 (multiply(sk_c8, sk_c8) = multiply(sk_c1, sk_c8)),
% 212.04/134.73 inference(transitivity,[status(thm)],[864, 540, 666, 669, 837, 707, 706, 863, 861, 851, 849, 183, 68, 816, 657, 324, 839, 752, 304, 884, 783, 882, 681, 877, 871, 779, 867, 777, 848])).
% 212.04/134.73 tff(925,plain,
% 212.04/134.73 ((multiply(sk_c8, sk_c8) = sk_c6) <=> (multiply(sk_c1, sk_c8) = sk_c6)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[924])).
% 212.04/134.73 tff(926,plain,
% 212.04/134.73 ((multiply(sk_c8, sk_c8) = sk_c6) <=> (multiply(sk_c5, sk_c8) = sk_c6)),
% 212.04/134.73 inference(transitivity,[status(thm)],[925, 923])).
% 212.04/134.73 tff(927,plain,
% 212.04/134.73 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 212.04/134.73 inference(quant_inst,[status(thm)],[])).
% 212.04/134.73 tff(928,plain,
% 212.04/134.73 (multiply(identity, sk_c6) = sk_c6),
% 212.04/134.73 inference(unit_resolution,[status(thm)],[927, 7])).
% 212.04/134.73 tff(929,plain,
% 212.04/134.73 (multiply(multiply(sk_c7, sk_c8), multiply(sk_c6, multiply(sk_c2, sk_c3))) = multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3)))),
% 212.04/134.73 inference(symmetry,[status(thm)],[827])).
% 212.04/134.73 tff(930,plain,
% 212.04/134.73 (multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, multiply(sk_c2, sk_c3)))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c6, multiply(sk_c2, sk_c3)))),
% 212.04/134.73 inference(symmetry,[status(thm)],[826])).
% 212.04/134.73 tff(931,plain,
% 212.04/134.73 (multiply(inverse(sk_c8), multiply(sk_c2, multiply(sk_c3, sk_c1))) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c6, multiply(sk_c2, sk_c3))))),
% 212.04/134.73 inference(symmetry,[status(thm)],[824])).
% 212.04/134.73 tff(932,plain,
% 212.04/134.73 (identity = multiply(sk_c6, multiply(sk_c2, sk_c3))),
% 212.04/134.73 inference(transitivity,[status(thm)],[68, 816, 657, 324, 839, 752, 304, 931, 930, 929, 9])).
% 212.04/134.73 tff(933,plain,
% 212.04/134.73 (multiply(identity, sk_c6) = multiply(multiply(sk_c6, multiply(sk_c2, sk_c3)), sk_c6)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[932])).
% 212.04/134.73 tff(934,plain,
% 212.04/134.73 (multiply(multiply(sk_c6, multiply(sk_c2, sk_c3)), sk_c6) = multiply(identity, sk_c6)),
% 212.04/134.73 inference(symmetry,[status(thm)],[933])).
% 212.04/134.73 tff(935,plain,
% 212.04/134.73 (multiply(sk_c8, multiply(multiply(sk_c2, sk_c3), sk_c1)) = multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))),
% 212.04/134.73 inference(symmetry,[status(thm)],[707])).
% 212.04/134.73 tff(936,plain,
% 212.04/134.73 (multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c3)), sk_c1)),
% 212.04/134.73 inference(symmetry,[status(thm)],[863])).
% 212.04/134.73 tff(937,plain,
% 212.04/134.73 (multiply(multiply(sk_c8, identity), sk_c5) = multiply(multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1))), multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)))),
% 212.04/134.73 inference(symmetry,[status(thm)],[861])).
% 212.04/134.73 tff(938,plain,
% 212.04/134.73 (multiply(sk_c8, multiply(identity, sk_c5)) = multiply(multiply(sk_c8, identity), sk_c5)),
% 212.04/134.73 inference(symmetry,[status(thm)],[851])).
% 212.04/134.73 tff(939,plain,
% 212.04/134.73 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, multiply(identity, sk_c5))),
% 212.04/134.73 inference(symmetry,[status(thm)],[849])).
% 212.04/134.73 tff(940,plain,
% 212.04/134.73 (multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, multiply(sk_c3, sk_c1)))) = multiply(sk_c1, multiply(sk_c8, multiply(sk_c2, sk_c3)))),
% 212.04/134.73 inference(symmetry,[status(thm)],[839])).
% 212.04/134.73 tff(941,plain,
% 212.04/134.73 (multiply(sk_c6, multiply(sk_c2, sk_c3)) = multiply(sk_c8, multiply(sk_c2, sk_c3))),
% 212.04/134.73 inference(transitivity,[status(thm)],[828, 827, 826, 824, 305, 302, 940, 325, 658, 817, 67, 184, 939, 938, 937, 936, 705, 935, 878, 670, 667, 462])).
% 212.04/134.73 tff(942,plain,
% 212.04/134.73 (multiply(multiply(sk_c6, multiply(sk_c2, sk_c3)), sk_c6) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c3)), sk_c6)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[941])).
% 212.04/134.73 tff(943,plain,
% 212.04/134.73 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c3)), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c2, sk_c3)), sk_c6)),
% 212.04/134.73 inference(symmetry,[status(thm)],[942])).
% 212.04/134.73 tff(944,plain,
% 212.04/134.73 (multiply(sk_c8, multiply(sk_c2, sk_c3)) = multiply(sk_c8, sk_c8)),
% 212.04/134.73 inference(symmetry,[status(thm)],[864])).
% 212.04/134.73 tff(945,plain,
% 212.04/134.73 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c3)), sk_c6) = multiply(multiply(sk_c8, sk_c8), sk_c6)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[944])).
% 212.04/134.73 tff(946,plain,
% 212.04/134.73 (multiply(multiply(sk_c8, sk_c8), sk_c6) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c3)), sk_c6)),
% 212.04/134.73 inference(symmetry,[status(thm)],[945])).
% 212.04/134.73 tff(947,plain,
% 212.04/134.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), sk_c6) = multiply(sk_c8, multiply(sk_c8, sk_c6)))),
% 212.04/134.73 inference(quant_inst,[status(thm)],[])).
% 212.04/134.73 tff(948,plain,
% 212.04/134.73 (multiply(multiply(sk_c8, sk_c8), sk_c6) = multiply(sk_c8, multiply(sk_c8, sk_c6))),
% 212.04/134.73 inference(unit_resolution,[status(thm)],[947, 18])).
% 212.04/134.73 tff(949,plain,
% 212.04/134.73 (multiply(sk_c8, multiply(sk_c8, sk_c6)) = multiply(multiply(sk_c8, sk_c8), sk_c6)),
% 212.04/134.73 inference(symmetry,[status(thm)],[948])).
% 212.04/134.73 tff(950,plain,
% 212.04/134.73 (multiply(sk_c8, multiply(sk_c8, sk_c6)) = multiply(sk_c8, sk_c7)),
% 212.04/134.73 inference(monotonicity,[status(thm)],[787])).
% 212.04/134.73 tff(951,plain,
% 212.04/134.73 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c8, sk_c6))),
% 212.04/134.73 inference(symmetry,[status(thm)],[950])).
% 212.04/134.73 tff(952,plain,
% 212.04/134.73 (multiply(sk_c8, multiply(multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1)), sk_c8)) = multiply(sk_c8, sk_c7)),
% 212.04/134.73 inference(symmetry,[status(thm)],[913])).
% 212.04/134.73 tff(953,plain,
% 212.04/134.73 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, multiply(multiply(inverse(sk_c8), sk_c2), multiply(sk_c3, sk_c1))), sk_c8)),
% 212.04/134.73 inference(symmetry,[status(thm)],[909])).
% 212.04/134.73 tff(954,plain,
% 212.04/134.73 (multiply(sk_c8, sk_c8) = sk_c6),
% 212.04/134.73 inference(transitivity,[status(thm)],[864, 540, 666, 669, 837, 707, 706, 863, 861, 851, 849, 183, 68, 816, 657, 324, 839, 752, 304, 884, 783, 882, 681, 877, 871, 779, 867, 777, 848, 842, 953, 377, 952, 951, 949, 946, 943, 934, 928])).
% 212.04/134.73 tff(955,plain,
% 212.04/134.73 (multiply(sk_c5, sk_c8) = sk_c6),
% 212.04/134.73 inference(modus_ponens,[status(thm)],[954, 926])).
% 212.04/134.73 tff(956,plain,
% 212.04/134.73 (inverse(sk_c8) = sk_c8),
% 212.04/134.73 inference(modus_ponens,[status(thm)],[885, 919])).
% 212.04/134.73 tff(957,plain,
% 212.04/134.73 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))) | (~(multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = 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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))) | (~(multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8)))),
% 212.04/134.73 inference(rewrite,[status(thm)],[])).
% 212.04/134.73 tff(958,plain,
% 212.04/134.73 (((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))) | (~(multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7))) <=> ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))) | (~(multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8)))),
% 212.04/134.73 inference(rewrite,[status(thm)],[])).
% 212.04/134.73 tff(959,plain,
% 212.04/134.73 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))) | (~(multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))) | (~(multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8))))),
% 212.04/134.73 inference(monotonicity,[status(thm)],[958])).
% 212.04/134.73 tff(960,plain,
% 212.04/134.73 (((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))) | (~(multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)))) <=> ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))) | (~(multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8)))),
% 212.04/134.73 inference(transitivity,[status(thm)],[959, 957])).
% 212.04/134.73 tff(961,plain,
% 212.04/134.73 ((~![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)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(inverse(sk_c8) = sk_c8)) | (~(inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))) | (~(multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)))),
% 212.04/134.73 inference(quant_inst,[status(thm)],[])).
% 212.04/134.73 tff(962,plain,
% 212.04/134.73 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c8)) | (~(multiply(X3, sk_c8) = X2)) | (~(multiply(sk_c8, X2) = sk_c7)) | (~(multiply(X1, sk_c7) = sk_c8)) | (~(inverse(X1) = sk_c8)) | (~(inverse(X5) = X6)) | (~(multiply(X5, X6) = sk_c8)) | (~(inverse(X4) = sk_c8)) | (~(multiply(X4, sk_c8) = sk_c7)))) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(sk_c8, sk_c6) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))) | (~(multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8))),
% 212.04/134.73 inference(modus_ponens,[status(thm)],[961, 960])).
% 212.04/134.73 tff(963,plain,
% 212.04/134.73 ((~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c7) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c6)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(inverse(identity) = multiply(sk_c6, multiply(sk_c2, sk_c3)))) | (~(multiply(identity, multiply(sk_c6, multiply(sk_c2, sk_c3))) = sk_c8))),
% 212.04/134.74 inference(unit_resolution,[status(thm)],[962, 153, 787, 578, 246])).
% 212.04/134.74 tff(964,plain,
% 212.04/134.74 ($false),
% 212.04/134.74 inference(unit_resolution,[status(thm)],[963, 956, 955, 921, 906, 903, 886])).
% 212.04/134.74 % SZS output end Proof
%------------------------------------------------------------------------------