TSTP Solution File: GRP369-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP369-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 22:27:16 EDT 2022
% Result : Unsatisfiable 2.78s 2.04s
% Output : Proof 2.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP369-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 31 16:34:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 2.78/2.04 % SZS status Unsatisfiable
% 2.78/2.04 % SZS output start Proof
% 2.78/2.04 tff(sk_c5_type, type, (
% 2.78/2.04 sk_c5: $i)).
% 2.78/2.04 tff(multiply_type, type, (
% 2.78/2.04 multiply: ( $i * $i ) > $i)).
% 2.78/2.04 tff(sk_c9_type, type, (
% 2.78/2.04 sk_c9: $i)).
% 2.78/2.04 tff(sk_c8_type, type, (
% 2.78/2.04 sk_c8: $i)).
% 2.78/2.04 tff(sk_c4_type, type, (
% 2.78/2.04 sk_c4: $i)).
% 2.78/2.04 tff(sk_c3_type, type, (
% 2.78/2.04 sk_c3: $i)).
% 2.78/2.04 tff(sk_c7_type, type, (
% 2.78/2.04 sk_c7: $i)).
% 2.78/2.04 tff(inverse_type, type, (
% 2.78/2.04 inverse: $i > $i)).
% 2.78/2.04 tff(identity_type, type, (
% 2.78/2.04 identity: $i)).
% 2.78/2.04 tff(sk_c6_type, type, (
% 2.78/2.04 sk_c6: $i)).
% 2.78/2.04 tff(sk_c1_type, type, (
% 2.78/2.04 sk_c1: $i)).
% 2.78/2.04 tff(sk_c2_type, type, (
% 2.78/2.04 sk_c2: $i)).
% 2.78/2.04 tff(1,plain,
% 2.78/2.04 (^[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))))),
% 2.78/2.04 inference(bind,[status(th)],[])).
% 2.78/2.04 tff(2,plain,
% 2.78/2.04 (![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)))),
% 2.78/2.04 inference(quant_intro,[status(thm)],[1])).
% 2.78/2.04 tff(3,plain,
% 2.78/2.04 (![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)))),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(4,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')).
% 2.78/2.04 tff(5,plain,
% 2.78/2.04 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[4, 3])).
% 2.78/2.04 tff(6,plain,(
% 2.78/2.04 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.78/2.04 inference(skolemize,[status(sab)],[5])).
% 2.78/2.04 tff(7,plain,
% 2.78/2.04 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[6, 2])).
% 2.78/2.04 tff(8,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c3, sk_c4)), sk_c8) = multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(9,plain,
% 2.78/2.04 (multiply(multiply(sk_c4, multiply(sk_c3, sk_c4)), sk_c8) = multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[8, 7])).
% 2.78/2.04 tff(10,plain,
% 2.78/2.04 ((sk_c7 = inverse(sk_c5)) <=> (inverse(sk_c5) = sk_c7)),
% 2.78/2.04 inference(commutativity,[status(thm)],[])).
% 2.78/2.04 tff(11,assumption,(~(inverse(sk_c5) = sk_c8)), introduced(assumption)).
% 2.78/2.04 tff(12,plain,
% 2.78/2.04 (((inverse(sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8))),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(13,axiom,((inverse(sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_40')).
% 2.78/2.04 tff(14,plain,
% 2.78/2.04 ((inverse(sk_c3) = sk_c7) | (inverse(sk_c5) = sk_c8)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[13, 12])).
% 2.78/2.04 tff(15,plain,
% 2.78/2.04 (inverse(sk_c3) = sk_c7),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[14, 11])).
% 2.78/2.04 tff(16,plain,
% 2.78/2.04 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 2.78/2.04 inference(bind,[status(th)],[])).
% 2.78/2.04 tff(17,plain,
% 2.78/2.04 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 2.78/2.04 inference(quant_intro,[status(thm)],[16])).
% 2.78/2.04 tff(18,plain,
% 2.78/2.04 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(19,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 2.78/2.04 tff(20,plain,
% 2.78/2.04 (![X: $i] : (multiply(identity, X) = X)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[19, 18])).
% 2.78/2.04 tff(21,plain,(
% 2.78/2.04 ![X: $i] : (multiply(identity, X) = X)),
% 2.78/2.04 inference(skolemize,[status(sab)],[20])).
% 2.78/2.04 tff(22,plain,
% 2.78/2.04 (![X: $i] : (multiply(identity, X) = X)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[21, 17])).
% 2.78/2.04 tff(23,plain,
% 2.78/2.04 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(24,plain,
% 2.78/2.04 (multiply(identity, sk_c3) = sk_c3),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[23, 22])).
% 2.78/2.04 tff(25,plain,
% 2.78/2.04 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(26,plain,
% 2.78/2.04 (multiply(identity, sk_c7) = sk_c7),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[25, 22])).
% 2.78/2.04 tff(27,plain,
% 2.78/2.04 (sk_c7 = inverse(sk_c3)),
% 2.78/2.04 inference(symmetry,[status(thm)],[15])).
% 2.78/2.04 tff(28,plain,
% 2.78/2.04 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[27])).
% 2.78/2.04 tff(29,plain,
% 2.78/2.04 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 2.78/2.04 inference(symmetry,[status(thm)],[28])).
% 2.78/2.04 tff(30,plain,
% 2.78/2.04 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 2.78/2.04 inference(bind,[status(th)],[])).
% 2.78/2.04 tff(31,plain,
% 2.78/2.04 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.78/2.04 inference(quant_intro,[status(thm)],[30])).
% 2.78/2.04 tff(32,plain,
% 2.78/2.04 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(33,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 2.78/2.04 tff(34,plain,
% 2.78/2.04 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[33, 32])).
% 2.78/2.04 tff(35,plain,(
% 2.78/2.04 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.78/2.04 inference(skolemize,[status(sab)],[34])).
% 2.78/2.04 tff(36,plain,
% 2.78/2.04 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[35, 31])).
% 2.78/2.04 tff(37,plain,
% 2.78/2.04 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(38,plain,
% 2.78/2.04 (multiply(inverse(sk_c3), sk_c3) = identity),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[37, 36])).
% 2.78/2.04 tff(39,plain,
% 2.78/2.04 (identity = multiply(inverse(sk_c3), sk_c3)),
% 2.78/2.04 inference(symmetry,[status(thm)],[38])).
% 2.78/2.04 tff(40,plain,
% 2.78/2.04 (identity = multiply(sk_c7, sk_c3)),
% 2.78/2.04 inference(transitivity,[status(thm)],[39, 29])).
% 2.78/2.04 tff(41,plain,
% 2.78/2.04 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[40])).
% 2.78/2.04 tff(42,plain,
% 2.78/2.04 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 2.78/2.04 inference(symmetry,[status(thm)],[41])).
% 2.78/2.04 tff(43,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(44,plain,
% 2.78/2.04 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[43, 7])).
% 2.78/2.04 tff(45,plain,
% 2.78/2.04 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 2.78/2.04 inference(symmetry,[status(thm)],[44])).
% 2.78/2.04 tff(46,plain,
% 2.78/2.04 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c8), sk_c8) = identity)),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(47,plain,
% 2.78/2.04 (multiply(inverse(sk_c8), sk_c8) = identity),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[46, 36])).
% 2.78/2.04 tff(48,assumption,(~(multiply(sk_c3, sk_c7) = sk_c9)), introduced(assumption)).
% 2.78/2.04 tff(49,plain,
% 2.78/2.04 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c9)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c9))),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(50,plain,
% 2.78/2.04 (((multiply(sk_c3, sk_c7) = sk_c9) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c9))),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(51,axiom,((multiply(sk_c3, sk_c7) = sk_c9) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_29')).
% 2.78/2.04 tff(52,plain,
% 2.78/2.04 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c9)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[51, 50])).
% 2.78/2.04 tff(53,plain,
% 2.78/2.04 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c3, sk_c7) = sk_c9)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[52, 49])).
% 2.78/2.04 tff(54,plain,
% 2.78/2.04 (inverse(sk_c8) = sk_c7),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[53, 48])).
% 2.78/2.04 tff(55,plain,
% 2.78/2.04 (sk_c7 = inverse(sk_c8)),
% 2.78/2.04 inference(symmetry,[status(thm)],[54])).
% 2.78/2.04 tff(56,plain,
% 2.78/2.04 (((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(57,axiom,((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_30')).
% 2.78/2.04 tff(58,plain,
% 2.78/2.04 ((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[57, 56])).
% 2.78/2.04 tff(59,plain,
% 2.78/2.04 (multiply(sk_c4, sk_c8) = sk_c7),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[58, 48])).
% 2.78/2.04 tff(60,plain,
% 2.78/2.04 (multiply(sk_c4, sk_c8) = inverse(sk_c8)),
% 2.78/2.04 inference(transitivity,[status(thm)],[59, 55])).
% 2.78/2.04 tff(61,plain,
% 2.78/2.04 (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[60])).
% 2.78/2.04 tff(62,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(sk_c4, multiply(sk_c8, sk_c8)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(63,plain,
% 2.78/2.04 (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(sk_c4, multiply(sk_c8, sk_c8))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[62, 7])).
% 2.78/2.04 tff(64,plain,
% 2.78/2.04 (multiply(sk_c4, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c4, sk_c8), sk_c8)),
% 2.78/2.04 inference(symmetry,[status(thm)],[63])).
% 2.78/2.04 tff(65,plain,
% 2.78/2.04 (((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9)) <=> ((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9))),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(66,axiom,((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_32')).
% 2.78/2.04 tff(67,plain,
% 2.78/2.04 ((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[66, 65])).
% 2.78/2.04 tff(68,plain,
% 2.78/2.04 (multiply(sk_c5, sk_c8) = sk_c9),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[67, 48])).
% 2.78/2.04 tff(69,plain,
% 2.78/2.04 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c9)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c9))),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(70,plain,
% 2.78/2.04 (((multiply(sk_c3, sk_c7) = sk_c9) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c9))),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(71,axiom,((multiply(sk_c3, sk_c7) = sk_c9) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_31')).
% 2.78/2.04 tff(72,plain,
% 2.78/2.04 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c9)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[71, 70])).
% 2.78/2.04 tff(73,plain,
% 2.78/2.04 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c9)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[72, 69])).
% 2.78/2.04 tff(74,plain,
% 2.78/2.04 (inverse(sk_c4) = sk_c8),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[73, 48])).
% 2.78/2.04 tff(75,plain,
% 2.78/2.04 (((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c6, sk_c9) = sk_c7)) <=> ((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c6, sk_c9) = sk_c7))),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(76,axiom,((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c6, sk_c9) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_34')).
% 2.78/2.04 tff(77,plain,
% 2.78/2.04 ((multiply(sk_c3, sk_c7) = sk_c9) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[76, 75])).
% 2.78/2.04 tff(78,plain,
% 2.78/2.04 (multiply(sk_c6, sk_c9) = sk_c7),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[77, 48])).
% 2.78/2.04 tff(79,plain,
% 2.78/2.04 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c9)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c9))),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(80,plain,
% 2.78/2.04 (((multiply(sk_c3, sk_c7) = sk_c9) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c9))),
% 2.78/2.04 inference(rewrite,[status(thm)],[])).
% 2.78/2.04 tff(81,axiom,((multiply(sk_c3, sk_c7) = sk_c9) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_33')).
% 2.78/2.04 tff(82,plain,
% 2.78/2.04 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c9)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[81, 80])).
% 2.78/2.04 tff(83,plain,
% 2.78/2.04 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c3, sk_c7) = sk_c9)),
% 2.78/2.04 inference(modus_ponens,[status(thm)],[82, 79])).
% 2.78/2.04 tff(84,plain,
% 2.78/2.04 (inverse(sk_c5) = sk_c8),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[83, 48])).
% 2.78/2.04 tff(85,plain,
% 2.78/2.04 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(86,plain,
% 2.78/2.04 (multiply(identity, sk_c8) = sk_c8),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[85, 22])).
% 2.78/2.04 tff(87,plain,
% 2.78/2.04 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c5), sk_c5) = identity)),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(88,plain,
% 2.78/2.04 (multiply(inverse(sk_c5), sk_c5) = identity),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[87, 36])).
% 2.78/2.04 tff(89,assumption,(inverse(sk_c5) = sk_c8), introduced(assumption)).
% 2.78/2.04 tff(90,plain,
% 2.78/2.04 (sk_c8 = inverse(sk_c5)),
% 2.78/2.04 inference(symmetry,[status(thm)],[89])).
% 2.78/2.04 tff(91,plain,
% 2.78/2.04 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[90])).
% 2.78/2.04 tff(92,plain,
% 2.78/2.04 (multiply(sk_c8, sk_c5) = identity),
% 2.78/2.04 inference(transitivity,[status(thm)],[91, 88])).
% 2.78/2.04 tff(93,plain,
% 2.78/2.04 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[92])).
% 2.78/2.04 tff(94,plain,
% 2.78/2.04 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 2.78/2.04 inference(symmetry,[status(thm)],[91])).
% 2.78/2.04 tff(95,plain,
% 2.78/2.04 (identity = multiply(inverse(sk_c5), sk_c5)),
% 2.78/2.04 inference(symmetry,[status(thm)],[88])).
% 2.78/2.04 tff(96,assumption,(inverse(sk_c8) = sk_c7), introduced(assumption)).
% 2.78/2.04 tff(97,plain,
% 2.78/2.04 (sk_c7 = inverse(sk_c8)),
% 2.78/2.04 inference(symmetry,[status(thm)],[96])).
% 2.78/2.04 tff(98,plain,
% 2.78/2.04 (multiply(sk_c7, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[97])).
% 2.78/2.04 tff(99,plain,
% 2.78/2.04 (multiply(sk_c7, sk_c8) = multiply(sk_c8, sk_c5)),
% 2.78/2.04 inference(transitivity,[status(thm)],[98, 47, 95, 94])).
% 2.78/2.04 tff(100,plain,
% 2.78/2.04 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[99])).
% 2.78/2.04 tff(101,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(102,plain,
% 2.78/2.04 (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[101, 7])).
% 2.78/2.04 tff(103,plain,
% 2.78/2.04 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 2.78/2.04 inference(symmetry,[status(thm)],[102])).
% 2.78/2.04 tff(104,assumption,(multiply(sk_c6, sk_c9) = sk_c7), introduced(assumption)).
% 2.78/2.04 tff(105,assumption,(multiply(sk_c5, sk_c8) = sk_c9), introduced(assumption)).
% 2.78/2.04 tff(106,plain,
% 2.78/2.04 (sk_c9 = multiply(sk_c5, sk_c8)),
% 2.78/2.04 inference(symmetry,[status(thm)],[105])).
% 2.78/2.04 tff(107,plain,
% 2.78/2.04 (multiply(sk_c6, sk_c9) = multiply(sk_c6, multiply(sk_c5, sk_c8))),
% 2.78/2.04 inference(monotonicity,[status(thm)],[106])).
% 2.78/2.04 tff(108,plain,
% 2.78/2.04 (multiply(sk_c6, multiply(sk_c5, sk_c8)) = multiply(sk_c6, sk_c9)),
% 2.78/2.04 inference(symmetry,[status(thm)],[107])).
% 2.78/2.04 tff(109,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c5), sk_c8) = multiply(sk_c6, multiply(sk_c5, sk_c8)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(110,plain,
% 2.78/2.04 (multiply(multiply(sk_c6, sk_c5), sk_c8) = multiply(sk_c6, multiply(sk_c5, sk_c8))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[109, 7])).
% 2.78/2.04 tff(111,plain,
% 2.78/2.04 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 2.78/2.04 inference(monotonicity,[status(thm)],[106])).
% 2.78/2.04 tff(112,plain,
% 2.78/2.04 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c9)),
% 2.78/2.04 inference(symmetry,[status(thm)],[111])).
% 2.78/2.04 tff(113,plain,
% 2.78/2.04 ((~![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)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(114,plain,
% 2.78/2.04 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[113, 7])).
% 2.78/2.04 tff(115,plain,
% 2.78/2.04 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.78/2.04 inference(symmetry,[status(thm)],[93])).
% 2.78/2.04 tff(116,plain,
% 2.78/2.04 (sk_c8 = multiply(identity, sk_c8)),
% 2.78/2.04 inference(symmetry,[status(thm)],[86])).
% 2.78/2.04 tff(117,plain,
% 2.78/2.04 (sk_c8 = multiply(sk_c8, sk_c9)),
% 2.78/2.04 inference(transitivity,[status(thm)],[116, 115, 114, 112])).
% 2.78/2.04 tff(118,plain,
% 2.78/2.04 (multiply(multiply(sk_c6, sk_c5), sk_c8) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c9))),
% 2.78/2.04 inference(monotonicity,[status(thm)],[117])).
% 2.78/2.04 tff(119,plain,
% 2.78/2.04 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c6, sk_c5), sk_c8)),
% 2.78/2.04 inference(symmetry,[status(thm)],[118])).
% 2.78/2.04 tff(120,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c9) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c9)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(121,plain,
% 2.78/2.04 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c9) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c9))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[120, 7])).
% 2.78/2.04 tff(122,plain,
% 2.78/2.04 (multiply(multiply(sk_c6, sk_c5), sk_c8) = sk_c7),
% 2.78/2.04 inference(transitivity,[status(thm)],[110, 108, 104])).
% 2.78/2.04 tff(123,plain,
% 2.78/2.04 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c9) = multiply(sk_c7, sk_c9)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[122])).
% 2.78/2.04 tff(124,plain,
% 2.78/2.04 (multiply(sk_c7, sk_c9) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c9)),
% 2.78/2.04 inference(symmetry,[status(thm)],[123])).
% 2.78/2.04 tff(125,plain,
% 2.78/2.04 (multiply(sk_c7, sk_c9) = multiply(sk_c7, multiply(sk_c5, sk_c8))),
% 2.78/2.04 inference(monotonicity,[status(thm)],[106])).
% 2.78/2.04 tff(126,plain,
% 2.78/2.04 (multiply(sk_c7, multiply(sk_c5, sk_c8)) = multiply(sk_c7, sk_c9)),
% 2.78/2.04 inference(symmetry,[status(thm)],[125])).
% 2.78/2.04 tff(127,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c5), sk_c8) = multiply(sk_c7, multiply(sk_c5, sk_c8)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(128,plain,
% 2.78/2.04 (multiply(multiply(sk_c7, sk_c5), sk_c8) = multiply(sk_c7, multiply(sk_c5, sk_c8))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[127, 7])).
% 2.78/2.04 tff(129,plain,
% 2.78/2.04 (multiply(sk_c6, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c6, sk_c5), sk_c8)),
% 2.78/2.04 inference(symmetry,[status(thm)],[110])).
% 2.78/2.04 tff(130,plain,
% 2.78/2.04 (sk_c7 = multiply(sk_c6, sk_c9)),
% 2.78/2.04 inference(symmetry,[status(thm)],[104])).
% 2.78/2.04 tff(131,plain,
% 2.78/2.04 (sk_c7 = multiply(multiply(sk_c6, sk_c5), sk_c8)),
% 2.78/2.04 inference(transitivity,[status(thm)],[130, 107, 129])).
% 2.78/2.04 tff(132,plain,
% 2.78/2.04 (multiply(sk_c7, sk_c5) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c5)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[131])).
% 2.78/2.04 tff(133,plain,
% 2.78/2.04 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c5) = multiply(sk_c7, sk_c5)),
% 2.78/2.04 inference(symmetry,[status(thm)],[132])).
% 2.78/2.04 tff(134,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c5) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(135,plain,
% 2.78/2.04 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c5) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[134, 7])).
% 2.78/2.04 tff(136,plain,
% 2.78/2.04 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c5)),
% 2.78/2.04 inference(symmetry,[status(thm)],[135])).
% 2.78/2.04 tff(137,plain,
% 2.78/2.04 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)) = multiply(sk_c7, sk_c5)),
% 2.78/2.04 inference(transitivity,[status(thm)],[136, 133])).
% 2.78/2.04 tff(138,plain,
% 2.78/2.04 (multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), sk_c8) = multiply(multiply(sk_c7, sk_c5), sk_c8)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[137])).
% 2.78/2.04 tff(139,plain,
% 2.78/2.04 (multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), sk_c8) = sk_c7),
% 2.78/2.04 inference(transitivity,[status(thm)],[138, 128, 126, 124, 121, 119, 110, 108, 104])).
% 2.78/2.04 tff(140,plain,
% 2.78/2.04 (multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), sk_c8), multiply(sk_c8, sk_c8)) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 2.78/2.04 inference(monotonicity,[status(thm)],[139])).
% 2.78/2.04 tff(141,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), sk_c8), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c8, multiply(sk_c8, sk_c8))))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(142,plain,
% 2.78/2.04 (multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), sk_c8), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c8, multiply(sk_c8, sk_c8)))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[141, 7])).
% 2.78/2.04 tff(143,plain,
% 2.78/2.04 (multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c8, multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), sk_c8), multiply(sk_c8, sk_c8))),
% 2.78/2.04 inference(symmetry,[status(thm)],[142])).
% 2.78/2.04 tff(144,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(sk_c8, multiply(sk_c8, sk_c8)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(145,plain,
% 2.78/2.04 (multiply(multiply(sk_c8, sk_c8), sk_c8) = multiply(sk_c8, multiply(sk_c8, sk_c8))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[144, 7])).
% 2.78/2.04 tff(146,plain,
% 2.78/2.04 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(147,plain,
% 2.78/2.04 (multiply(inverse(sk_c4), sk_c4) = identity),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[146, 36])).
% 2.78/2.04 tff(148,assumption,(inverse(sk_c4) = sk_c8), introduced(assumption)).
% 2.78/2.04 tff(149,plain,
% 2.78/2.04 (sk_c8 = inverse(sk_c4)),
% 2.78/2.04 inference(symmetry,[status(thm)],[148])).
% 2.78/2.04 tff(150,plain,
% 2.78/2.04 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[149])).
% 2.78/2.04 tff(151,plain,
% 2.78/2.04 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 2.78/2.04 inference(transitivity,[status(thm)],[150, 147, 95, 94])).
% 2.78/2.04 tff(152,plain,
% 2.78/2.04 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5))),
% 2.78/2.04 inference(monotonicity,[status(thm)],[151])).
% 2.78/2.04 tff(153,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c4) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c4)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(154,plain,
% 2.78/2.04 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c4) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c4))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[153, 7])).
% 2.78/2.04 tff(155,plain,
% 2.78/2.04 (multiply(sk_c7, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c6, sk_c5), sk_c8)),
% 2.78/2.04 inference(transitivity,[status(thm)],[126, 124, 121, 119])).
% 2.78/2.04 tff(156,plain,
% 2.78/2.04 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), sk_c4) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c4)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[155])).
% 2.78/2.04 tff(157,plain,
% 2.78/2.04 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), sk_c4) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5))),
% 2.78/2.04 inference(transitivity,[status(thm)],[156, 154, 152])).
% 2.78/2.04 tff(158,plain,
% 2.78/2.04 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), sk_c4), multiply(multiply(sk_c8, sk_c8), sk_c8)) = multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c8, multiply(sk_c8, sk_c8)))),
% 2.78/2.04 inference(monotonicity,[status(thm)],[157, 145])).
% 2.78/2.04 tff(159,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), sk_c4), multiply(multiply(sk_c8, sk_c8), sk_c8)) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), multiply(sk_c4, multiply(multiply(sk_c8, sk_c8), sk_c8))))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(160,plain,
% 2.78/2.04 (multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), sk_c4), multiply(multiply(sk_c8, sk_c8), sk_c8)) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), multiply(sk_c4, multiply(multiply(sk_c8, sk_c8), sk_c8)))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[159, 7])).
% 2.78/2.04 tff(161,plain,
% 2.78/2.04 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), multiply(sk_c4, multiply(multiply(sk_c8, sk_c8), sk_c8))) = multiply(multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), sk_c4), multiply(multiply(sk_c8, sk_c8), sk_c8))),
% 2.78/2.04 inference(symmetry,[status(thm)],[160])).
% 2.78/2.04 tff(162,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c8, sk_c8)), sk_c8) = multiply(sk_c4, multiply(multiply(sk_c8, sk_c8), sk_c8)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(163,plain,
% 2.78/2.04 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c8)), sk_c8) = multiply(sk_c4, multiply(multiply(sk_c8, sk_c8), sk_c8))),
% 2.78/2.04 inference(unit_resolution,[status(thm)],[162, 7])).
% 2.78/2.04 tff(164,assumption,(multiply(sk_c4, sk_c8) = sk_c7), introduced(assumption)).
% 2.78/2.04 tff(165,plain,
% 2.78/2.04 (multiply(sk_c4, sk_c8) = inverse(sk_c8)),
% 2.78/2.04 inference(transitivity,[status(thm)],[164, 97])).
% 2.78/2.04 tff(166,plain,
% 2.78/2.04 (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[165])).
% 2.78/2.04 tff(167,plain,
% 2.78/2.04 (multiply(sk_c4, multiply(sk_c8, sk_c8)) = multiply(sk_c8, sk_c5)),
% 2.78/2.04 inference(transitivity,[status(thm)],[64, 166, 47, 95, 94])).
% 2.78/2.04 tff(168,plain,
% 2.78/2.04 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c8)), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[167])).
% 2.78/2.04 tff(169,plain,
% 2.78/2.04 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c8)), sk_c8)),
% 2.78/2.04 inference(symmetry,[status(thm)],[168])).
% 2.78/2.04 tff(170,plain,
% 2.78/2.04 (sk_c8 = multiply(sk_c4, multiply(multiply(sk_c8, sk_c8), sk_c8))),
% 2.78/2.04 inference(transitivity,[status(thm)],[116, 115, 169, 163])).
% 2.78/2.04 tff(171,plain,
% 2.78/2.04 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c9)) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c9)),
% 2.78/2.04 inference(symmetry,[status(thm)],[121])).
% 2.78/2.04 tff(172,plain,
% 2.78/2.04 (inverse(sk_c8) = multiply(sk_c7, multiply(sk_c5, sk_c8))),
% 2.78/2.04 inference(transitivity,[status(thm)],[96, 130, 107, 129, 118, 171, 123, 125])).
% 2.78/2.04 tff(173,plain,
% 2.78/2.04 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), multiply(sk_c4, multiply(multiply(sk_c8, sk_c8), sk_c8)))),
% 2.78/2.04 inference(monotonicity,[status(thm)],[172, 170])).
% 2.78/2.04 tff(174,plain,
% 2.78/2.04 (multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), sk_c8) = inverse(sk_c8)),
% 2.78/2.04 inference(transitivity,[status(thm)],[138, 128, 126, 124, 121, 119, 110, 108, 104, 97])).
% 2.78/2.04 tff(175,plain,
% 2.78/2.04 (multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.78/2.04 inference(monotonicity,[status(thm)],[174])).
% 2.78/2.04 tff(176,plain,
% 2.78/2.04 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), sk_c8), sk_c8) = multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c8, sk_c8)))),
% 2.78/2.04 inference(quant_inst,[status(thm)],[])).
% 2.78/2.04 tff(177,plain,
% 2.78/2.05 (multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), sk_c8), sk_c8) = multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c8, sk_c8))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[176, 7])).
% 2.78/2.05 tff(178,plain,
% 2.78/2.05 (multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), sk_c8), sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[177])).
% 2.78/2.05 tff(179,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[99])).
% 2.78/2.05 tff(180,plain,
% 2.78/2.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c5), sk_c7), sk_c8) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c7, sk_c8)))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(181,plain,
% 2.78/2.05 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c7), sk_c8) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c7, sk_c8))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[180, 7])).
% 2.78/2.05 tff(182,plain,
% 2.78/2.05 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[151])).
% 2.78/2.05 tff(183,plain,
% 2.78/2.05 ((~![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)))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(184,plain,
% 2.78/2.05 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[183, 7])).
% 2.78/2.05 tff(185,plain,
% 2.78/2.05 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[184])).
% 2.78/2.05 tff(186,plain,
% 2.78/2.05 (sk_c7 = multiply(sk_c4, sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[164])).
% 2.78/2.05 tff(187,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[186])).
% 2.78/2.05 tff(188,plain,
% 2.78/2.05 (multiply(sk_c7, multiply(sk_c5, sk_c8)) = sk_c7),
% 2.78/2.05 inference(transitivity,[status(thm)],[126, 124, 121, 119, 110, 108, 104])).
% 2.78/2.05 tff(189,plain,
% 2.78/2.05 (multiply(sk_c8, multiply(sk_c7, multiply(sk_c5, sk_c8))) = multiply(sk_c8, sk_c7)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[188])).
% 2.78/2.05 tff(190,plain,
% 2.78/2.05 (multiply(sk_c8, multiply(sk_c7, multiply(sk_c5, sk_c8))) = sk_c8),
% 2.78/2.05 inference(transitivity,[status(thm)],[189, 187, 185, 182, 93, 86])).
% 2.78/2.05 tff(191,plain,
% 2.78/2.05 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c7), multiply(sk_c8, multiply(sk_c7, multiply(sk_c5, sk_c8)))) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c7), sk_c8)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[190])).
% 2.78/2.05 tff(192,plain,
% 2.78/2.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c5), sk_c7), sk_c8), multiply(sk_c7, multiply(sk_c5, sk_c8))) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c7), multiply(sk_c8, multiply(sk_c7, multiply(sk_c5, sk_c8)))))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(193,plain,
% 2.78/2.05 (multiply(multiply(multiply(multiply(sk_c6, sk_c5), sk_c7), sk_c8), multiply(sk_c7, multiply(sk_c5, sk_c8))) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c7), multiply(sk_c8, multiply(sk_c7, multiply(sk_c5, sk_c8))))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[192, 7])).
% 2.78/2.05 tff(194,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c7, sk_c8)) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c7), sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[181])).
% 2.78/2.05 tff(195,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c7, sk_c8))),
% 2.78/2.05 inference(symmetry,[status(thm)],[179])).
% 2.78/2.05 tff(196,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c7), sk_c8)),
% 2.78/2.05 inference(transitivity,[status(thm)],[195, 194])).
% 2.78/2.05 tff(197,plain,
% 2.78/2.05 (multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c8))) = multiply(multiply(multiply(multiply(sk_c6, sk_c5), sk_c7), sk_c8), multiply(sk_c7, multiply(sk_c5, sk_c8)))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[196])).
% 2.78/2.05 tff(198,plain,
% 2.78/2.05 (multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c8))) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5))),
% 2.78/2.05 inference(transitivity,[status(thm)],[197, 193, 191, 181, 179])).
% 2.78/2.05 tff(199,plain,
% 2.78/2.05 (multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c8))), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c8, sk_c8))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[198])).
% 2.78/2.05 tff(200,plain,
% 2.78/2.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c8))), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), multiply(sk_c8, sk_c8))))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(201,plain,
% 2.78/2.05 (multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c8))), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), multiply(sk_c8, sk_c8)))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[200, 7])).
% 2.78/2.05 tff(202,plain,
% 2.78/2.05 (multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), multiply(sk_c8, sk_c8))) = multiply(multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(sk_c7, multiply(sk_c5, sk_c8))), multiply(sk_c8, sk_c8))),
% 2.78/2.05 inference(symmetry,[status(thm)],[201])).
% 2.78/2.05 tff(203,plain,
% 2.78/2.05 (multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), multiply(sk_c8, sk_c8)) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[188])).
% 2.78/2.05 tff(204,plain,
% 2.78/2.05 (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), multiply(sk_c8, sk_c8))),
% 2.78/2.05 inference(symmetry,[status(thm)],[203])).
% 2.78/2.05 tff(205,plain,
% 2.78/2.05 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[100])).
% 2.78/2.05 tff(206,plain,
% 2.78/2.05 (sk_c8 = multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), multiply(sk_c8, sk_c8))),
% 2.78/2.05 inference(transitivity,[status(thm)],[116, 115, 205, 102, 204])).
% 2.78/2.05 tff(207,plain,
% 2.78/2.05 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5))),
% 2.78/2.05 inference(transitivity,[status(thm)],[132, 135])).
% 2.78/2.05 tff(208,plain,
% 2.78/2.05 (multiply(multiply(sk_c7, sk_c5), sk_c8) = multiply(multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)), multiply(multiply(sk_c7, multiply(sk_c5, sk_c8)), multiply(sk_c8, sk_c8)))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[207, 206])).
% 2.78/2.05 tff(209,plain,
% 2.78/2.05 (multiply(sk_c7, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c7, sk_c5), sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[128])).
% 2.78/2.05 tff(210,plain,
% 2.78/2.05 (multiply(sk_c7, sk_c9) = sk_c8),
% 2.78/2.05 inference(transitivity,[status(thm)],[125, 209, 208, 202, 199, 178, 175, 173, 161, 158, 143, 140, 103, 100, 93, 86])).
% 2.78/2.05 tff(211,assumption,(~(multiply(sk_c7, sk_c9) = sk_c8)), introduced(assumption)).
% 2.78/2.05 tff(212,plain,
% 2.78/2.05 ($false),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[211, 210])).
% 2.78/2.05 tff(213,plain,((multiply(sk_c7, sk_c9) = sk_c8) | (~(inverse(sk_c5) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c9))), inference(lemma,lemma(discharge,[]))).
% 2.78/2.05 tff(214,plain,
% 2.78/2.05 (multiply(sk_c7, sk_c9) = sk_c8),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[213, 84, 54, 78, 74, 59, 68])).
% 2.78/2.05 tff(215,plain,
% 2.78/2.05 (multiply(sk_c6, multiply(sk_c5, sk_c8)) = multiply(sk_c6, sk_c9)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[68])).
% 2.78/2.05 tff(216,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), sk_c8) = sk_c7),
% 2.78/2.05 inference(transitivity,[status(thm)],[110, 215, 78])).
% 2.78/2.05 tff(217,plain,
% 2.78/2.05 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c9) = multiply(sk_c7, sk_c9)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[216])).
% 2.78/2.05 tff(218,plain,
% 2.78/2.05 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, sk_c9)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[68])).
% 2.78/2.05 tff(219,plain,
% 2.78/2.05 (sk_c8 = inverse(sk_c5)),
% 2.78/2.05 inference(symmetry,[status(thm)],[84])).
% 2.78/2.05 tff(220,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[219])).
% 2.78/2.05 tff(221,plain,
% 2.78/2.05 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 2.78/2.05 inference(symmetry,[status(thm)],[220])).
% 2.78/2.05 tff(222,plain,
% 2.78/2.05 (sk_c8 = inverse(sk_c4)),
% 2.78/2.05 inference(symmetry,[status(thm)],[74])).
% 2.78/2.05 tff(223,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[222])).
% 2.78/2.05 tff(224,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 2.78/2.05 inference(transitivity,[status(thm)],[223, 147, 95, 221])).
% 2.78/2.05 tff(225,plain,
% 2.78/2.05 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[224])).
% 2.78/2.05 tff(226,plain,
% 2.78/2.05 (sk_c7 = multiply(sk_c4, sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[59])).
% 2.78/2.05 tff(227,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[226])).
% 2.78/2.05 tff(228,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c7) = multiply(sk_c8, sk_c9)),
% 2.78/2.05 inference(transitivity,[status(thm)],[227, 185, 225, 114, 218])).
% 2.78/2.05 tff(229,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c9))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[228])).
% 2.78/2.05 tff(230,plain,
% 2.78/2.05 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c7)),
% 2.78/2.05 inference(symmetry,[status(thm)],[227])).
% 2.78/2.05 tff(231,plain,
% 2.78/2.05 (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[225])).
% 2.78/2.05 tff(232,plain,
% 2.78/2.05 (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[114])).
% 2.78/2.05 tff(233,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 2.78/2.05 inference(symmetry,[status(thm)],[218])).
% 2.78/2.05 tff(234,plain,
% 2.78/2.05 (multiply(sk_c6, sk_c9) = multiply(sk_c6, multiply(sk_c5, sk_c8))),
% 2.78/2.05 inference(symmetry,[status(thm)],[215])).
% 2.78/2.05 tff(235,plain,
% 2.78/2.05 (sk_c7 = multiply(sk_c6, sk_c9)),
% 2.78/2.05 inference(symmetry,[status(thm)],[78])).
% 2.78/2.05 tff(236,plain,
% 2.78/2.05 (sk_c7 = multiply(multiply(sk_c6, sk_c5), sk_c8)),
% 2.78/2.05 inference(transitivity,[status(thm)],[235, 234, 129])).
% 2.78/2.05 tff(237,plain,
% 2.78/2.05 (multiply(sk_c7, sk_c7) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c7)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[236])).
% 2.78/2.05 tff(238,plain,
% 2.78/2.05 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c7) = multiply(sk_c7, sk_c7)),
% 2.78/2.05 inference(symmetry,[status(thm)],[237])).
% 2.78/2.05 tff(239,plain,
% 2.78/2.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c7) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c7)))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(240,plain,
% 2.78/2.05 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c7) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c7))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[239, 7])).
% 2.78/2.05 tff(241,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c7)),
% 2.78/2.05 inference(symmetry,[status(thm)],[240])).
% 2.78/2.05 tff(242,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c7))),
% 2.78/2.05 inference(symmetry,[status(thm)],[229])).
% 2.78/2.05 tff(243,plain,
% 2.78/2.05 (multiply(sk_c7, sk_c9) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c9)),
% 2.78/2.05 inference(symmetry,[status(thm)],[217])).
% 2.78/2.05 tff(244,plain,
% 2.78/2.05 (sk_c8 = multiply(sk_c7, sk_c9)),
% 2.78/2.05 inference(symmetry,[status(thm)],[214])).
% 2.78/2.05 tff(245,plain,
% 2.78/2.05 (sk_c8 = multiply(sk_c7, sk_c7)),
% 2.78/2.05 inference(transitivity,[status(thm)],[244, 243, 121, 242, 241, 238])).
% 2.78/2.05 tff(246,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c9) = multiply(multiply(sk_c7, sk_c7), sk_c9)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[245])).
% 2.78/2.05 tff(247,plain,
% 2.78/2.05 (multiply(multiply(sk_c7, sk_c7), sk_c9) = multiply(sk_c8, sk_c9)),
% 2.78/2.05 inference(symmetry,[status(thm)],[246])).
% 2.78/2.05 tff(248,plain,
% 2.78/2.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c9) = multiply(sk_c7, multiply(sk_c7, sk_c9)))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(249,plain,
% 2.78/2.05 (multiply(multiply(sk_c7, sk_c7), sk_c9) = multiply(sk_c7, multiply(sk_c7, sk_c9))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[248, 7])).
% 2.78/2.05 tff(250,plain,
% 2.78/2.05 (multiply(sk_c7, multiply(sk_c7, sk_c9)) = multiply(multiply(sk_c7, sk_c7), sk_c9)),
% 2.78/2.05 inference(symmetry,[status(thm)],[249])).
% 2.78/2.05 tff(251,plain,
% 2.78/2.05 (multiply(sk_c7, multiply(sk_c7, sk_c9)) = multiply(inverse(sk_c8), sk_c8)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[55, 214])).
% 2.78/2.05 tff(252,plain,
% 2.78/2.05 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c9))),
% 2.78/2.05 inference(symmetry,[status(thm)],[251])).
% 2.78/2.05 tff(253,plain,
% 2.78/2.05 (identity = multiply(inverse(sk_c8), sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[47])).
% 2.78/2.05 tff(254,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c5) = multiply(sk_c8, sk_c7)),
% 2.78/2.05 inference(transitivity,[status(thm)],[220, 88, 253, 252, 250, 247, 233, 232, 231, 184, 230])).
% 2.78/2.05 tff(255,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c7))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[254])).
% 2.78/2.05 tff(256,plain,
% 2.78/2.05 (multiply(sk_c7, sk_c5) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c5)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[236])).
% 2.78/2.05 tff(257,plain,
% 2.78/2.05 (multiply(sk_c7, sk_c5) = sk_c8),
% 2.78/2.05 inference(transitivity,[status(thm)],[256, 135, 255, 229, 171, 217, 214])).
% 2.78/2.05 tff(258,plain,
% 2.78/2.05 (multiply(multiply(sk_c7, sk_c5), sk_c8) = multiply(sk_c8, sk_c8)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[257])).
% 2.78/2.05 tff(259,plain,
% 2.78/2.05 (sk_c9 = multiply(sk_c5, sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[68])).
% 2.78/2.05 tff(260,plain,
% 2.78/2.05 (multiply(sk_c7, sk_c9) = multiply(sk_c7, multiply(sk_c5, sk_c8))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[259])).
% 2.78/2.05 tff(261,plain,
% 2.78/2.05 (sk_c8 = multiply(sk_c8, sk_c8)),
% 2.78/2.05 inference(transitivity,[status(thm)],[244, 260, 209, 258])).
% 2.78/2.05 tff(262,plain,
% 2.78/2.05 (multiply(sk_c4, sk_c8) = multiply(sk_c4, multiply(sk_c8, sk_c8))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[261])).
% 2.78/2.05 tff(263,plain,
% 2.78/2.05 (multiply(sk_c6, sk_c9) = identity),
% 2.78/2.05 inference(transitivity,[status(thm)],[78, 226, 262, 64, 61, 47])).
% 2.78/2.05 tff(264,plain,
% 2.78/2.05 (multiply(sk_c7, multiply(sk_c5, sk_c8)) = multiply(sk_c7, sk_c9)),
% 2.78/2.05 inference(symmetry,[status(thm)],[260])).
% 2.78/2.05 tff(265,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c7, sk_c5), sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[258])).
% 2.78/2.05 tff(266,plain,
% 2.78/2.05 (multiply(sk_c8, multiply(sk_c7, sk_c9)) = multiply(sk_c8, sk_c8)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[214])).
% 2.78/2.05 tff(267,plain,
% 2.78/2.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), sk_c9) = multiply(sk_c8, multiply(sk_c7, sk_c9)))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(268,plain,
% 2.78/2.05 (multiply(multiply(sk_c8, sk_c7), sk_c9) = multiply(sk_c8, multiply(sk_c7, sk_c9))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[267, 7])).
% 2.78/2.05 tff(269,plain,
% 2.78/2.05 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c6), sk_c6) = identity)),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(270,plain,
% 2.78/2.05 (multiply(inverse(sk_c6), sk_c6) = identity),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[269, 36])).
% 2.78/2.05 tff(271,plain,
% 2.78/2.05 (((inverse(sk_c6) = sk_c9) | (multiply(sk_c3, sk_c7) = sk_c9)) <=> ((inverse(sk_c6) = sk_c9) | (multiply(sk_c3, sk_c7) = sk_c9))),
% 2.78/2.05 inference(rewrite,[status(thm)],[])).
% 2.78/2.05 tff(272,plain,
% 2.78/2.05 (((multiply(sk_c3, sk_c7) = sk_c9) | (inverse(sk_c6) = sk_c9)) <=> ((inverse(sk_c6) = sk_c9) | (multiply(sk_c3, sk_c7) = sk_c9))),
% 2.78/2.05 inference(rewrite,[status(thm)],[])).
% 2.78/2.05 tff(273,axiom,((multiply(sk_c3, sk_c7) = sk_c9) | (inverse(sk_c6) = sk_c9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_35')).
% 2.78/2.05 tff(274,plain,
% 2.78/2.05 ((inverse(sk_c6) = sk_c9) | (multiply(sk_c3, sk_c7) = sk_c9)),
% 2.78/2.05 inference(modus_ponens,[status(thm)],[273, 272])).
% 2.78/2.05 tff(275,plain,
% 2.78/2.05 ((inverse(sk_c6) = sk_c9) | (multiply(sk_c3, sk_c7) = sk_c9)),
% 2.78/2.05 inference(modus_ponens,[status(thm)],[274, 271])).
% 2.78/2.05 tff(276,plain,
% 2.78/2.05 (inverse(sk_c6) = sk_c9),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[275, 48])).
% 2.78/2.05 tff(277,plain,
% 2.78/2.05 (sk_c9 = inverse(sk_c6)),
% 2.78/2.05 inference(symmetry,[status(thm)],[276])).
% 2.78/2.05 tff(278,plain,
% 2.78/2.05 (multiply(sk_c9, sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[277])).
% 2.78/2.05 tff(279,plain,
% 2.78/2.05 (multiply(sk_c9, sk_c6) = multiply(sk_c8, sk_c7)),
% 2.78/2.05 inference(transitivity,[status(thm)],[278, 270, 253, 252, 250, 247, 233, 232, 231, 184, 230])).
% 2.78/2.05 tff(280,plain,
% 2.78/2.05 (multiply(multiply(sk_c9, sk_c6), sk_c9) = multiply(multiply(sk_c8, sk_c7), sk_c9)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[279])).
% 2.78/2.05 tff(281,plain,
% 2.78/2.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c6), sk_c9) = multiply(sk_c9, multiply(sk_c6, sk_c9)))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(282,plain,
% 2.78/2.05 (multiply(multiply(sk_c9, sk_c6), sk_c9) = multiply(sk_c9, multiply(sk_c6, sk_c9))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[281, 7])).
% 2.78/2.05 tff(283,plain,
% 2.78/2.05 (multiply(sk_c9, multiply(sk_c6, sk_c9)) = multiply(multiply(sk_c9, sk_c6), sk_c9)),
% 2.78/2.05 inference(symmetry,[status(thm)],[282])).
% 2.78/2.05 tff(284,plain,
% 2.78/2.05 (multiply(sk_c9, sk_c7) = multiply(sk_c9, multiply(sk_c6, sk_c9))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[235])).
% 2.78/2.05 tff(285,plain,
% 2.78/2.05 (multiply(sk_c4, multiply(sk_c8, sk_c8)) = multiply(sk_c4, sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[262])).
% 2.78/2.05 tff(286,plain,
% 2.78/2.05 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c4, sk_c8), sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[61])).
% 2.78/2.05 tff(287,plain,
% 2.78/2.05 (identity = sk_c7),
% 2.78/2.05 inference(transitivity,[status(thm)],[253, 286, 63, 285, 59])).
% 2.78/2.05 tff(288,plain,
% 2.78/2.05 (multiply(sk_c9, identity) = multiply(sk_c9, sk_c7)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[287])).
% 2.78/2.05 tff(289,plain,
% 2.78/2.05 (multiply(sk_c9, identity) = sk_c8),
% 2.78/2.05 inference(transitivity,[status(thm)],[288, 284, 283, 280, 268, 266, 265, 128, 264, 214])).
% 2.78/2.05 tff(290,plain,
% 2.78/2.05 ((multiply(sk_c4, sk_c8) = sk_c9) <=> (inverse(sk_c8) = sk_c9)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[60])).
% 2.78/2.05 tff(291,plain,
% 2.78/2.05 ((inverse(sk_c8) = sk_c9) <=> (multiply(sk_c4, sk_c8) = sk_c9)),
% 2.78/2.05 inference(symmetry,[status(thm)],[290])).
% 2.78/2.05 tff(292,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c7) = inverse(sk_c8)),
% 2.78/2.05 inference(transitivity,[status(thm)],[227, 185, 225, 114, 218, 246, 249, 251, 286, 63, 285, 59, 55])).
% 2.78/2.05 tff(293,plain,
% 2.78/2.05 ((multiply(sk_c8, sk_c7) = sk_c9) <=> (inverse(sk_c8) = sk_c9)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[292])).
% 2.78/2.05 tff(294,plain,
% 2.78/2.05 ((multiply(sk_c8, sk_c7) = sk_c9) <=> (multiply(sk_c4, sk_c8) = sk_c9)),
% 2.78/2.05 inference(transitivity,[status(thm)],[293, 291])).
% 2.78/2.05 tff(295,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c6) = multiply(multiply(sk_c7, sk_c9), sk_c6)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[244])).
% 2.78/2.05 tff(296,plain,
% 2.78/2.05 (multiply(multiply(sk_c7, sk_c9), sk_c6) = multiply(sk_c8, sk_c6)),
% 2.78/2.05 inference(symmetry,[status(thm)],[295])).
% 2.78/2.05 tff(297,plain,
% 2.78/2.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c9), sk_c6) = multiply(sk_c7, multiply(sk_c9, sk_c6)))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(298,plain,
% 2.78/2.05 (multiply(multiply(sk_c7, sk_c9), sk_c6) = multiply(sk_c7, multiply(sk_c9, sk_c6))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[297, 7])).
% 2.78/2.05 tff(299,plain,
% 2.78/2.05 (multiply(sk_c7, multiply(sk_c9, sk_c6)) = multiply(multiply(sk_c7, sk_c9), sk_c6)),
% 2.78/2.05 inference(symmetry,[status(thm)],[298])).
% 2.78/2.05 tff(300,plain,
% 2.78/2.05 (multiply(inverse(sk_c6), sk_c6) = multiply(sk_c9, sk_c6)),
% 2.78/2.05 inference(symmetry,[status(thm)],[278])).
% 2.78/2.05 tff(301,plain,
% 2.78/2.05 (identity = multiply(inverse(sk_c6), sk_c6)),
% 2.78/2.05 inference(symmetry,[status(thm)],[270])).
% 2.78/2.05 tff(302,plain,
% 2.78/2.05 (multiply(sk_c7, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[55])).
% 2.78/2.05 tff(303,plain,
% 2.78/2.05 (multiply(sk_c7, sk_c8) = multiply(sk_c9, sk_c6)),
% 2.78/2.05 inference(transitivity,[status(thm)],[302, 47, 301, 300])).
% 2.78/2.05 tff(304,plain,
% 2.78/2.05 (multiply(sk_c7, multiply(sk_c7, sk_c8)) = multiply(sk_c7, multiply(sk_c9, sk_c6))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[303])).
% 2.78/2.05 tff(305,plain,
% 2.78/2.05 ((~![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)))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(306,plain,
% 2.78/2.05 (multiply(multiply(sk_c7, sk_c7), sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c8))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[305, 7])).
% 2.78/2.05 tff(307,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c7, sk_c7), sk_c8)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[245])).
% 2.78/2.05 tff(308,plain,
% 2.78/2.05 (sk_c8 = multiply(sk_c8, sk_c6)),
% 2.78/2.05 inference(transitivity,[status(thm)],[244, 260, 209, 258, 307, 306, 304, 299, 296])).
% 2.78/2.05 tff(309,plain,
% 2.78/2.05 (multiply(sk_c5, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c6))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[308])).
% 2.78/2.05 tff(310,plain,
% 2.78/2.05 (multiply(sk_c5, multiply(sk_c8, sk_c6)) = multiply(sk_c5, sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[309])).
% 2.78/2.05 tff(311,plain,
% 2.78/2.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c6) = multiply(sk_c5, multiply(sk_c8, sk_c6)))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(312,plain,
% 2.78/2.05 (multiply(multiply(sk_c5, sk_c8), sk_c6) = multiply(sk_c5, multiply(sk_c8, sk_c6))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[311, 7])).
% 2.78/2.05 tff(313,plain,
% 2.78/2.05 (multiply(sk_c5, sk_c8) = inverse(sk_c6)),
% 2.78/2.05 inference(transitivity,[status(thm)],[68, 277])).
% 2.78/2.05 tff(314,plain,
% 2.78/2.05 (multiply(multiply(sk_c5, sk_c8), sk_c6) = multiply(inverse(sk_c6), sk_c6)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[313])).
% 2.78/2.05 tff(315,plain,
% 2.78/2.05 (multiply(inverse(sk_c6), sk_c6) = multiply(multiply(sk_c5, sk_c8), sk_c6)),
% 2.78/2.05 inference(symmetry,[status(thm)],[314])).
% 2.78/2.05 tff(316,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c7) = sk_c9),
% 2.78/2.05 inference(transitivity,[status(thm)],[227, 185, 225, 114, 218, 246, 249, 251, 47, 301, 315, 312, 310, 68])).
% 2.78/2.05 tff(317,plain,
% 2.78/2.05 (multiply(sk_c4, sk_c8) = sk_c9),
% 2.78/2.05 inference(modus_ponens,[status(thm)],[316, 294])).
% 2.78/2.05 tff(318,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), sk_c8) = inverse(sk_c8)),
% 2.78/2.05 inference(transitivity,[status(thm)],[110, 215, 78, 55])).
% 2.78/2.05 tff(319,plain,
% 2.78/2.05 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.78/2.05 inference(monotonicity,[status(thm)],[318])).
% 2.78/2.05 tff(320,plain,
% 2.78/2.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c8) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c8)))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(321,plain,
% 2.78/2.05 (multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c8) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c8))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[320, 7])).
% 2.78/2.05 tff(322,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c8)) = multiply(multiply(multiply(sk_c6, sk_c5), sk_c8), sk_c8)),
% 2.78/2.05 inference(symmetry,[status(thm)],[321])).
% 2.78/2.05 tff(323,plain,
% 2.78/2.05 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c6, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 2.78/2.05 inference(quant_inst,[status(thm)],[])).
% 2.78/2.05 tff(324,plain,
% 2.78/2.05 (multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c6, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 2.78/2.05 inference(unit_resolution,[status(thm)],[323, 7])).
% 2.78/2.05 tff(325,plain,
% 2.78/2.05 (multiply(sk_c6, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c6, sk_c5), multiply(sk_c8, sk_c8))),
% 2.78/2.05 inference(symmetry,[status(thm)],[324])).
% 2.78/2.05 tff(326,plain,
% 2.78/2.05 (multiply(sk_c8, sk_c8) = multiply(sk_c8, sk_c6)),
% 2.78/2.05 inference(transitivity,[status(thm)],[307, 306, 304, 299, 296])).
% 2.78/2.05 tff(327,plain,
% 2.78/2.05 (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(sk_c5, multiply(sk_c8, sk_c6))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[326])).
% 2.78/2.05 tff(328,plain,
% 2.78/2.05 (multiply(sk_c5, multiply(sk_c8, sk_c6)) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 2.78/2.05 inference(symmetry,[status(thm)],[327])).
% 2.78/2.05 tff(329,plain,
% 2.78/2.05 (sk_c7 = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 2.78/2.05 inference(transitivity,[status(thm)],[226, 262, 64, 61, 47, 301, 315, 312, 328])).
% 2.78/2.05 tff(330,plain,
% 2.78/2.05 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[329])).
% 2.78/2.05 tff(331,plain,
% 2.78/2.05 (multiply(sk_c6, sk_c7) = sk_c9),
% 2.78/2.05 inference(transitivity,[status(thm)],[330, 325, 322, 319, 47, 301, 315, 312, 310, 68])).
% 2.78/2.05 tff(332,plain,
% 2.78/2.05 ((sk_c9 = inverse(sk_c8)) <=> (inverse(sk_c8) = sk_c9)),
% 2.78/2.05 inference(commutativity,[status(thm)],[])).
% 2.78/2.05 tff(333,plain,
% 2.78/2.05 ((inverse(sk_c6) = sk_c7) <=> (sk_c9 = inverse(sk_c8))),
% 2.78/2.05 inference(monotonicity,[status(thm)],[276, 55])).
% 2.78/2.05 tff(334,plain,
% 2.78/2.05 ((inverse(sk_c6) = sk_c7) <=> (inverse(sk_c8) = sk_c9)),
% 2.78/2.05 inference(transitivity,[status(thm)],[333, 332])).
% 2.78/2.05 tff(335,plain,
% 2.78/2.05 ((inverse(sk_c8) = sk_c9) <=> (inverse(sk_c6) = sk_c7)),
% 2.78/2.05 inference(symmetry,[status(thm)],[334])).
% 2.78/2.05 tff(336,plain,
% 2.78/2.05 ((multiply(sk_c8, sk_c7) = sk_c9) <=> (inverse(sk_c6) = sk_c7)),
% 2.78/2.05 inference(transitivity,[status(thm)],[293, 335])).
% 2.78/2.05 tff(337,plain,
% 2.78/2.05 (inverse(sk_c6) = sk_c7),
% 2.78/2.05 inference(modus_ponens,[status(thm)],[316, 336])).
% 2.78/2.05 tff(338,plain,
% 2.78/2.05 (^[X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))))),
% 2.78/2.05 inference(bind,[status(th)],[])).
% 2.78/2.05 tff(339,plain,
% 2.78/2.05 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))),
% 2.78/2.05 inference(quant_intro,[status(thm)],[338])).
% 2.78/2.05 tff(340,plain,
% 2.78/2.05 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))),
% 2.78/2.06 inference(rewrite,[status(thm)],[])).
% 2.78/2.06 tff(341,plain,
% 2.78/2.06 (^[X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))), (((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) <=> (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(X5) = sk_c9))))), rewrite((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(X5) = sk_c9))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))), (((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))))), ((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) <=> (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c9))))), rewrite((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X6, sk_c7) = sk_c9))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))), ((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))))), (((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(X6) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(X6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))), (((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))))), ((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(sk_c8) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))), ((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))))), (((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X1, sk_c8) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X1, sk_c8) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))), (((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))))), ((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(X1) = sk_c8))))), rewrite((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))), ((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))))), (((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) <=> (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))))), rewrite((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))), (((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))))), ((((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) <=> (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(X2) = sk_c8))))), rewrite((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(X2) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))), ((((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))))), (((((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))), (((((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))))), ((((((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) | (~(inverse(X3) = sk_c9))) <=> (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(X3) = sk_c9))))), rewrite((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(inverse(X3) = sk_c9))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))), ((((((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) | (~(inverse(X3) = sk_c9))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))))),
% 2.78/2.06 inference(bind,[status(th)],[])).
% 2.78/2.06 tff(342,plain,
% 2.78/2.06 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) | (~(inverse(X3) = sk_c9))) <=> ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))),
% 2.78/2.06 inference(quant_intro,[status(thm)],[341])).
% 2.78/2.06 tff(343,axiom,(![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(multiply(sk_c9, X4) = sk_c8))) | (~(multiply(X5, sk_c9) = X4))) | (~(inverse(X5) = sk_c9))) | (~(multiply(X6, sk_c7) = sk_c9))) | (~(inverse(X6) = sk_c7))) | (~(inverse(sk_c8) = sk_c7))) | (~(multiply(X1, sk_c8) = sk_c7))) | (~(inverse(X1) = sk_c8))) | (~(multiply(X2, sk_c8) = sk_c9))) | (~(inverse(X2) = sk_c8))) | (~(multiply(X3, sk_c9) = sk_c7))) | (~(inverse(X3) = sk_c9)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_43')).
% 2.78/2.06 tff(344,plain,
% 2.78/2.06 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))),
% 2.78/2.06 inference(modus_ponens,[status(thm)],[343, 342])).
% 2.78/2.06 tff(345,plain,
% 2.78/2.06 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))),
% 2.78/2.07 inference(modus_ponens,[status(thm)],[344, 340])).
% 2.78/2.07 tff(346,plain,(
% 2.78/2.07 ![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))),
% 2.78/2.07 inference(skolemize,[status(sab)],[345])).
% 2.78/2.07 tff(347,plain,
% 2.78/2.07 (![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))),
% 2.78/2.07 inference(modus_ponens,[status(thm)],[346, 339])).
% 2.78/2.07 tff(348,plain,
% 2.78/2.07 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c9, identity) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = identity)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c9, identity) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = identity)))),
% 2.78/2.07 inference(rewrite,[status(thm)],[])).
% 2.78/2.07 tff(349,plain,
% 2.78/2.07 (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = identity)) | (~(multiply(sk_c9, identity) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c9, identity) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = identity)))),
% 2.78/2.07 inference(rewrite,[status(thm)],[])).
% 2.78/2.07 tff(350,plain,
% 2.78/2.07 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = identity)) | (~(multiply(sk_c9, identity) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c9, identity) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = identity))))),
% 2.78/2.07 inference(monotonicity,[status(thm)],[349])).
% 2.78/2.07 tff(351,plain,
% 2.78/2.07 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = identity)) | (~(multiply(sk_c9, identity) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c9, identity) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = identity)))),
% 2.78/2.07 inference(transitivity,[status(thm)],[350, 348])).
% 2.78/2.07 tff(352,plain,
% 2.78/2.07 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c9)) | (~(inverse(sk_c6) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = identity)) | (~(multiply(sk_c9, identity) = sk_c8)))),
% 2.91/2.07 inference(quant_inst,[status(thm)],[])).
% 2.91/2.07 tff(353,plain,
% 2.91/2.07 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c6) = sk_c9)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c4, sk_c8) = sk_c9)) | (~(multiply(sk_c6, sk_c9) = sk_c7)) | (~(multiply(sk_c9, identity) = sk_c8)) | (~(multiply(sk_c6, sk_c9) = identity))),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[352, 351])).
% 2.91/2.07 tff(354,plain,
% 2.91/2.07 ($false),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[353, 214, 54, 59, 74, 78, 276, 347, 337, 331, 317, 289, 263])).
% 2.91/2.07 tff(355,plain,(multiply(sk_c3, sk_c7) = sk_c9), inference(lemma,lemma(discharge,[]))).
% 2.91/2.07 tff(356,plain,
% 2.91/2.07 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(sk_c7, sk_c9)),
% 2.91/2.07 inference(monotonicity,[status(thm)],[355])).
% 2.91/2.07 tff(357,plain,
% 2.91/2.07 (multiply(sk_c7, sk_c9) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 2.91/2.07 inference(symmetry,[status(thm)],[356])).
% 2.91/2.07 tff(358,plain,
% 2.91/2.07 (((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)) <=> ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9))),
% 2.91/2.07 inference(rewrite,[status(thm)],[])).
% 2.91/2.07 tff(359,axiom,((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_4')).
% 2.91/2.07 tff(360,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[359, 358])).
% 2.91/2.07 tff(361,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[360, 358])).
% 2.91/2.07 tff(362,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[361, 358])).
% 2.91/2.07 tff(363,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[362, 358])).
% 2.91/2.07 tff(364,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[363, 358])).
% 2.91/2.07 tff(365,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[364, 358])).
% 2.91/2.07 tff(366,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[365, 358])).
% 2.91/2.07 tff(367,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[366, 358])).
% 2.91/2.07 tff(368,plain,
% 2.91/2.07 (multiply(sk_c5, sk_c8) = sk_c9),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[367, 211])).
% 2.91/2.07 tff(369,plain,
% 2.91/2.07 (((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 2.91/2.07 inference(rewrite,[status(thm)],[])).
% 2.91/2.07 tff(370,axiom,((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 2.91/2.07 tff(371,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[370, 369])).
% 2.91/2.07 tff(372,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[371, 369])).
% 2.91/2.07 tff(373,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[372, 369])).
% 2.91/2.07 tff(374,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[373, 369])).
% 2.91/2.07 tff(375,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[374, 369])).
% 2.91/2.07 tff(376,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[375, 369])).
% 2.91/2.07 tff(377,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[376, 369])).
% 2.91/2.07 tff(378,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[377, 369])).
% 2.91/2.07 tff(379,plain,
% 2.91/2.07 (multiply(sk_c4, sk_c8) = sk_c7),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[378, 211])).
% 2.91/2.07 tff(380,plain,
% 2.91/2.07 (((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 2.91/2.07 inference(rewrite,[status(thm)],[])).
% 2.91/2.07 tff(381,axiom,((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_3')).
% 2.91/2.07 tff(382,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[381, 380])).
% 2.91/2.07 tff(383,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[382, 380])).
% 2.91/2.07 tff(384,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[383, 380])).
% 2.91/2.07 tff(385,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[384, 380])).
% 2.91/2.07 tff(386,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[385, 380])).
% 2.91/2.07 tff(387,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[386, 380])).
% 2.91/2.07 tff(388,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[387, 380])).
% 2.91/2.07 tff(389,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[388, 380])).
% 2.91/2.07 tff(390,plain,
% 2.91/2.07 (inverse(sk_c4) = sk_c8),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[389, 211])).
% 2.91/2.07 tff(391,plain,
% 2.91/2.07 (((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)) <=> ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7))),
% 2.91/2.07 inference(rewrite,[status(thm)],[])).
% 2.91/2.07 tff(392,axiom,((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 2.91/2.07 tff(393,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[392, 391])).
% 2.91/2.07 tff(394,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[393, 391])).
% 2.91/2.07 tff(395,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[394, 391])).
% 2.91/2.07 tff(396,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[395, 391])).
% 2.91/2.07 tff(397,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[396, 391])).
% 2.91/2.07 tff(398,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[397, 391])).
% 2.91/2.07 tff(399,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[398, 391])).
% 2.91/2.07 tff(400,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (multiply(sk_c6, sk_c9) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[399, 391])).
% 2.91/2.07 tff(401,plain,
% 2.91/2.07 (multiply(sk_c6, sk_c9) = sk_c7),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[400, 211])).
% 2.91/2.07 tff(402,plain,
% 2.91/2.07 (((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c8) = sk_c7))),
% 2.91/2.07 inference(rewrite,[status(thm)],[])).
% 2.91/2.07 tff(403,axiom,((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_1')).
% 2.91/2.07 tff(404,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[403, 402])).
% 2.91/2.07 tff(405,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[404, 402])).
% 2.91/2.07 tff(406,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[405, 402])).
% 2.91/2.07 tff(407,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[406, 402])).
% 2.91/2.07 tff(408,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[407, 402])).
% 2.91/2.07 tff(409,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[408, 402])).
% 2.91/2.07 tff(410,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[409, 402])).
% 2.91/2.07 tff(411,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c8) = sk_c7)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[410, 402])).
% 2.91/2.07 tff(412,plain,
% 2.91/2.07 (inverse(sk_c8) = sk_c7),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[411, 211])).
% 2.91/2.07 tff(413,plain,
% 2.91/2.07 (((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c5) = sk_c8))),
% 2.91/2.07 inference(rewrite,[status(thm)],[])).
% 2.91/2.07 tff(414,axiom,((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 2.91/2.07 tff(415,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[414, 413])).
% 2.91/2.07 tff(416,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[415, 413])).
% 2.91/2.07 tff(417,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[416, 413])).
% 2.91/2.07 tff(418,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[417, 413])).
% 2.91/2.07 tff(419,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[418, 413])).
% 2.91/2.07 tff(420,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[419, 413])).
% 2.91/2.07 tff(421,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[420, 413])).
% 2.91/2.07 tff(422,plain,
% 2.91/2.07 ((multiply(sk_c7, sk_c9) = sk_c8) | (inverse(sk_c5) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[421, 413])).
% 2.91/2.07 tff(423,plain,
% 2.91/2.07 (inverse(sk_c5) = sk_c8),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[422, 211])).
% 2.91/2.07 tff(424,plain,
% 2.91/2.07 ($false),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[213, 423, 211, 412, 401, 390, 379, 368])).
% 2.91/2.07 tff(425,plain,(multiply(sk_c7, sk_c9) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 2.91/2.07 tff(426,plain,
% 2.91/2.07 (sk_c8 = multiply(sk_c7, sk_c9)),
% 2.91/2.07 inference(symmetry,[status(thm)],[425])).
% 2.91/2.07 tff(427,plain,
% 2.91/2.07 (sk_c8 = sk_c7),
% 2.91/2.07 inference(transitivity,[status(thm)],[426, 357, 45, 42, 26])).
% 2.91/2.07 tff(428,plain,
% 2.91/2.07 (multiply(sk_c8, sk_c3) = multiply(sk_c7, sk_c3)),
% 2.91/2.07 inference(monotonicity,[status(thm)],[427])).
% 2.91/2.07 tff(429,plain,
% 2.91/2.07 (multiply(sk_c7, sk_c3) = multiply(sk_c8, sk_c3)),
% 2.91/2.07 inference(symmetry,[status(thm)],[428])).
% 2.91/2.07 tff(430,plain,
% 2.91/2.07 (identity = multiply(sk_c8, sk_c3)),
% 2.91/2.07 inference(transitivity,[status(thm)],[39, 29, 429])).
% 2.91/2.07 tff(431,plain,
% 2.91/2.07 (multiply(identity, sk_c3) = multiply(multiply(sk_c8, sk_c3), sk_c3)),
% 2.91/2.07 inference(monotonicity,[status(thm)],[430])).
% 2.91/2.07 tff(432,plain,
% 2.91/2.07 (multiply(multiply(sk_c8, sk_c3), sk_c3) = multiply(identity, sk_c3)),
% 2.91/2.07 inference(symmetry,[status(thm)],[431])).
% 2.91/2.07 tff(433,plain,
% 2.91/2.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c3), sk_c3) = multiply(sk_c8, multiply(sk_c3, sk_c3)))),
% 2.91/2.07 inference(quant_inst,[status(thm)],[])).
% 2.91/2.07 tff(434,plain,
% 2.91/2.07 (multiply(multiply(sk_c8, sk_c3), sk_c3) = multiply(sk_c8, multiply(sk_c3, sk_c3))),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[433, 7])).
% 2.91/2.07 tff(435,plain,
% 2.91/2.07 (multiply(sk_c8, multiply(sk_c3, sk_c3)) = multiply(multiply(sk_c8, sk_c3), sk_c3)),
% 2.91/2.07 inference(symmetry,[status(thm)],[434])).
% 2.91/2.07 tff(436,plain,
% 2.91/2.07 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 2.91/2.07 inference(quant_inst,[status(thm)],[])).
% 2.91/2.07 tff(437,plain,
% 2.91/2.07 (multiply(inverse(sk_c1), sk_c1) = identity),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[436, 36])).
% 2.91/2.07 tff(438,plain,
% 2.91/2.07 (((inverse(sk_c1) = sk_c9) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c1) = sk_c9) | (inverse(sk_c5) = sk_c8))),
% 2.91/2.07 inference(rewrite,[status(thm)],[])).
% 2.91/2.07 tff(439,axiom,((inverse(sk_c1) = sk_c9) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_26')).
% 2.91/2.07 tff(440,plain,
% 2.91/2.07 ((inverse(sk_c1) = sk_c9) | (inverse(sk_c5) = sk_c8)),
% 2.91/2.07 inference(modus_ponens,[status(thm)],[439, 438])).
% 2.91/2.07 tff(441,plain,
% 2.91/2.07 (inverse(sk_c1) = sk_c9),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[440, 11])).
% 2.91/2.07 tff(442,plain,
% 2.91/2.07 (sk_c9 = inverse(sk_c1)),
% 2.91/2.07 inference(symmetry,[status(thm)],[441])).
% 2.91/2.07 tff(443,plain,
% 2.91/2.07 (multiply(sk_c9, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 2.91/2.07 inference(monotonicity,[status(thm)],[442])).
% 2.91/2.07 tff(444,plain,
% 2.91/2.07 (multiply(multiply(sk_c3, sk_c7), sk_c1) = multiply(sk_c9, sk_c1)),
% 2.91/2.07 inference(monotonicity,[status(thm)],[355])).
% 2.91/2.07 tff(445,plain,
% 2.91/2.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c1) = multiply(sk_c3, multiply(sk_c7, sk_c1)))),
% 2.91/2.07 inference(quant_inst,[status(thm)],[])).
% 2.91/2.07 tff(446,plain,
% 2.91/2.07 (multiply(multiply(sk_c3, sk_c7), sk_c1) = multiply(sk_c3, multiply(sk_c7, sk_c1))),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[445, 7])).
% 2.91/2.07 tff(447,plain,
% 2.91/2.07 (multiply(sk_c3, multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c3, sk_c7), sk_c1)),
% 2.91/2.07 inference(symmetry,[status(thm)],[446])).
% 2.91/2.07 tff(448,plain,
% 2.91/2.07 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c9) = sk_c9)),
% 2.91/2.07 inference(quant_inst,[status(thm)],[])).
% 2.91/2.07 tff(449,plain,
% 2.91/2.07 (multiply(identity, sk_c9) = sk_c9),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[448, 22])).
% 2.91/2.07 tff(450,plain,
% 2.91/2.07 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c9, sk_c1)),
% 2.91/2.07 inference(symmetry,[status(thm)],[443])).
% 2.91/2.07 tff(451,plain,
% 2.91/2.07 (identity = multiply(inverse(sk_c1), sk_c1)),
% 2.91/2.07 inference(symmetry,[status(thm)],[437])).
% 2.91/2.07 tff(452,plain,
% 2.91/2.07 (identity = multiply(sk_c9, sk_c1)),
% 2.91/2.07 inference(transitivity,[status(thm)],[451, 450])).
% 2.91/2.07 tff(453,plain,
% 2.91/2.07 (multiply(identity, sk_c9) = multiply(multiply(sk_c9, sk_c1), sk_c9)),
% 2.91/2.07 inference(monotonicity,[status(thm)],[452])).
% 2.91/2.07 tff(454,plain,
% 2.91/2.07 (multiply(multiply(sk_c9, sk_c1), sk_c9) = multiply(identity, sk_c9)),
% 2.91/2.07 inference(symmetry,[status(thm)],[453])).
% 2.91/2.07 tff(455,plain,
% 2.91/2.07 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c1), sk_c9) = multiply(sk_c9, multiply(sk_c1, sk_c9)))),
% 2.91/2.07 inference(quant_inst,[status(thm)],[])).
% 2.91/2.07 tff(456,plain,
% 2.91/2.07 (multiply(multiply(sk_c9, sk_c1), sk_c9) = multiply(sk_c9, multiply(sk_c1, sk_c9))),
% 2.91/2.07 inference(unit_resolution,[status(thm)],[455, 7])).
% 2.91/2.07 tff(457,plain,
% 2.91/2.07 (multiply(sk_c9, multiply(sk_c1, sk_c9)) = multiply(multiply(sk_c9, sk_c1), sk_c9)),
% 2.91/2.08 inference(symmetry,[status(thm)],[456])).
% 2.91/2.08 tff(458,plain,
% 2.91/2.08 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c9) = sk_c2)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c9) = sk_c2))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.08 tff(459,plain,
% 2.91/2.08 (((multiply(sk_c1, sk_c9) = sk_c2) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c9) = sk_c2))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.08 tff(460,axiom,((multiply(sk_c1, sk_c9) = sk_c2) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 2.91/2.08 tff(461,plain,
% 2.91/2.08 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c9) = sk_c2)),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[460, 459])).
% 2.91/2.08 tff(462,plain,
% 2.91/2.08 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c1, sk_c9) = sk_c2)),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[461, 458])).
% 2.91/2.08 tff(463,plain,
% 2.91/2.08 (multiply(sk_c1, sk_c9) = sk_c2),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[462, 11])).
% 2.91/2.08 tff(464,plain,
% 2.91/2.08 (sk_c2 = multiply(sk_c1, sk_c9)),
% 2.91/2.08 inference(symmetry,[status(thm)],[463])).
% 2.91/2.08 tff(465,plain,
% 2.91/2.08 (multiply(sk_c9, sk_c2) = multiply(sk_c9, multiply(sk_c1, sk_c9))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[464])).
% 2.91/2.08 tff(466,plain,
% 2.91/2.08 (((inverse(sk_c5) = sk_c8) | (multiply(sk_c9, sk_c2) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c9, sk_c2) = sk_c8))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.08 tff(467,plain,
% 2.91/2.08 (((multiply(sk_c9, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)) <=> ((inverse(sk_c5) = sk_c8) | (multiply(sk_c9, sk_c2) = sk_c8))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.08 tff(468,axiom,((multiply(sk_c9, sk_c2) = sk_c8) | (inverse(sk_c5) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 2.91/2.08 tff(469,plain,
% 2.91/2.08 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c9, sk_c2) = sk_c8)),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[468, 467])).
% 2.91/2.08 tff(470,plain,
% 2.91/2.08 ((inverse(sk_c5) = sk_c8) | (multiply(sk_c9, sk_c2) = sk_c8)),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[469, 466])).
% 2.91/2.08 tff(471,plain,
% 2.91/2.08 (multiply(sk_c9, sk_c2) = sk_c8),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[470, 11])).
% 2.91/2.08 tff(472,plain,
% 2.91/2.08 (sk_c8 = multiply(sk_c9, sk_c2)),
% 2.91/2.08 inference(symmetry,[status(thm)],[471])).
% 2.91/2.08 tff(473,plain,
% 2.91/2.08 (sk_c7 = multiply(identity, sk_c7)),
% 2.91/2.08 inference(symmetry,[status(thm)],[26])).
% 2.91/2.08 tff(474,plain,
% 2.91/2.08 (sk_c7 = sk_c9),
% 2.91/2.08 inference(transitivity,[status(thm)],[473, 41, 44, 356, 425, 472, 465, 457, 454, 449])).
% 2.91/2.08 tff(475,plain,
% 2.91/2.08 (multiply(sk_c7, sk_c1) = multiply(sk_c9, sk_c1)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[474])).
% 2.91/2.08 tff(476,plain,
% 2.91/2.08 (multiply(sk_c9, sk_c1) = multiply(sk_c7, sk_c1)),
% 2.91/2.08 inference(symmetry,[status(thm)],[475])).
% 2.91/2.08 tff(477,plain,
% 2.91/2.08 (identity = multiply(sk_c7, sk_c1)),
% 2.91/2.08 inference(transitivity,[status(thm)],[451, 450, 476])).
% 2.91/2.08 tff(478,plain,
% 2.91/2.08 (multiply(sk_c3, identity) = multiply(sk_c3, multiply(sk_c7, sk_c1))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[477])).
% 2.91/2.08 tff(479,plain,
% 2.91/2.08 (multiply(sk_c3, identity) = identity),
% 2.91/2.08 inference(transitivity,[status(thm)],[478, 447, 444, 443, 437])).
% 2.91/2.08 tff(480,plain,
% 2.91/2.08 (multiply(multiply(sk_c3, identity), sk_c3) = multiply(identity, sk_c3)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[479])).
% 2.91/2.08 tff(481,plain,
% 2.91/2.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), sk_c3) = multiply(sk_c3, multiply(identity, sk_c3)))),
% 2.91/2.08 inference(quant_inst,[status(thm)],[])).
% 2.91/2.08 tff(482,plain,
% 2.91/2.08 (multiply(multiply(sk_c3, identity), sk_c3) = multiply(sk_c3, multiply(identity, sk_c3))),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[481, 7])).
% 2.91/2.08 tff(483,plain,
% 2.91/2.08 (multiply(sk_c3, multiply(identity, sk_c3)) = multiply(multiply(sk_c3, identity), sk_c3)),
% 2.91/2.08 inference(symmetry,[status(thm)],[482])).
% 2.91/2.08 tff(484,plain,
% 2.91/2.08 (sk_c3 = multiply(identity, sk_c3)),
% 2.91/2.08 inference(symmetry,[status(thm)],[24])).
% 2.91/2.08 tff(485,plain,
% 2.91/2.08 (multiply(sk_c3, sk_c3) = multiply(sk_c3, multiply(identity, sk_c3))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[484])).
% 2.91/2.08 tff(486,plain,
% 2.91/2.08 (multiply(sk_c3, sk_c3) = sk_c3),
% 2.91/2.08 inference(transitivity,[status(thm)],[485, 483, 480, 24])).
% 2.91/2.08 tff(487,plain,
% 2.91/2.08 (multiply(sk_c8, multiply(sk_c3, sk_c3)) = multiply(sk_c7, sk_c3)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[427, 486])).
% 2.91/2.08 tff(488,plain,
% 2.91/2.08 (multiply(sk_c7, sk_c3) = multiply(sk_c8, multiply(sk_c3, sk_c3))),
% 2.91/2.08 inference(symmetry,[status(thm)],[487])).
% 2.91/2.08 tff(489,plain,
% 2.91/2.08 (sk_c8 = sk_c9),
% 2.91/2.08 inference(transitivity,[status(thm)],[472, 465, 457, 454, 449])).
% 2.91/2.08 tff(490,plain,
% 2.91/2.08 (multiply(sk_c8, sk_c8) = multiply(sk_c7, sk_c9)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[427, 489])).
% 2.91/2.08 tff(491,plain,
% 2.91/2.08 (multiply(sk_c8, sk_c8) = sk_c8),
% 2.91/2.08 inference(transitivity,[status(thm)],[490, 425])).
% 2.91/2.08 tff(492,plain,
% 2.91/2.08 (multiply(inverse(sk_c8), multiply(sk_c8, sk_c8)) = multiply(inverse(sk_c8), sk_c8)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[491])).
% 2.91/2.08 tff(493,plain,
% 2.91/2.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8)))),
% 2.91/2.08 inference(quant_inst,[status(thm)],[])).
% 2.91/2.08 tff(494,plain,
% 2.91/2.08 (multiply(multiply(inverse(sk_c8), sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c8))),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[493, 7])).
% 2.91/2.08 tff(495,plain,
% 2.91/2.08 (multiply(sk_c9, multiply(sk_c1, sk_c9)) = multiply(sk_c9, sk_c2)),
% 2.91/2.08 inference(symmetry,[status(thm)],[465])).
% 2.91/2.08 tff(496,plain,
% 2.91/2.08 (sk_c9 = multiply(identity, sk_c9)),
% 2.91/2.08 inference(symmetry,[status(thm)],[449])).
% 2.91/2.08 tff(497,plain,
% 2.91/2.08 (sk_c9 = sk_c8),
% 2.91/2.08 inference(transitivity,[status(thm)],[496, 453, 456, 495, 471])).
% 2.91/2.08 tff(498,plain,
% 2.91/2.08 (multiply(sk_c9, sk_c1) = multiply(inverse(sk_c8), sk_c8)),
% 2.91/2.08 inference(transitivity,[status(thm)],[443, 437, 253])).
% 2.91/2.08 tff(499,plain,
% 2.91/2.08 (multiply(multiply(sk_c9, sk_c1), sk_c9) = multiply(multiply(inverse(sk_c8), sk_c8), sk_c8)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[498, 497])).
% 2.91/2.08 tff(500,plain,
% 2.91/2.08 (sk_c8 = sk_c3),
% 2.91/2.08 inference(transitivity,[status(thm)],[472, 465, 457, 499, 494, 492, 47, 39, 29, 488, 435, 432, 24])).
% 2.91/2.08 tff(501,plain,
% 2.91/2.08 (inverse(sk_c8) = inverse(sk_c3)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[500])).
% 2.91/2.08 tff(502,plain,
% 2.91/2.08 (inverse(sk_c8) = sk_c7),
% 2.91/2.08 inference(transitivity,[status(thm)],[501, 15])).
% 2.91/2.08 tff(503,plain,
% 2.91/2.08 (multiply(sk_c3, sk_c9) = multiply(sk_c3, sk_c8)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[497])).
% 2.91/2.08 tff(504,plain,
% 2.91/2.08 ((multiply(sk_c3, sk_c9) = sk_c7) <=> (multiply(sk_c3, sk_c8) = sk_c9)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[503, 474])).
% 2.91/2.08 tff(505,plain,
% 2.91/2.08 ((multiply(sk_c3, sk_c8) = sk_c9) <=> (multiply(sk_c3, sk_c9) = sk_c7)),
% 2.91/2.08 inference(symmetry,[status(thm)],[504])).
% 2.91/2.08 tff(506,plain,
% 2.91/2.08 (multiply(sk_c3, sk_c8) = multiply(sk_c3, sk_c7)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[427])).
% 2.91/2.08 tff(507,plain,
% 2.91/2.08 (multiply(sk_c3, sk_c8) = sk_c9),
% 2.91/2.08 inference(transitivity,[status(thm)],[506, 355])).
% 2.91/2.08 tff(508,plain,
% 2.91/2.08 (multiply(sk_c3, sk_c9) = sk_c7),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[507, 505])).
% 2.91/2.08 tff(509,plain,
% 2.91/2.08 ((multiply(sk_c3, sk_c8) = sk_c7) <=> (multiply(sk_c3, sk_c8) = sk_c9)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[474])).
% 2.91/2.08 tff(510,plain,
% 2.91/2.08 ((multiply(sk_c3, sk_c8) = sk_c9) <=> (multiply(sk_c3, sk_c8) = sk_c7)),
% 2.91/2.08 inference(symmetry,[status(thm)],[509])).
% 2.91/2.08 tff(511,plain,
% 2.91/2.08 (multiply(sk_c3, sk_c8) = sk_c7),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[507, 510])).
% 2.91/2.08 tff(512,plain,
% 2.91/2.08 (inverse(sk_c3) = sk_c8),
% 2.91/2.08 inference(transitivity,[status(thm)],[15, 473, 41, 44, 356, 425])).
% 2.91/2.08 tff(513,plain,
% 2.91/2.08 ((sk_c7 = inverse(sk_c1)) <=> (inverse(sk_c1) = sk_c7)),
% 2.91/2.08 inference(commutativity,[status(thm)],[])).
% 2.91/2.08 tff(514,plain,
% 2.91/2.08 ((inverse(sk_c3) = sk_c9) <=> (sk_c7 = inverse(sk_c1))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[15, 442])).
% 2.91/2.08 tff(515,plain,
% 2.91/2.08 ((inverse(sk_c3) = sk_c9) <=> (inverse(sk_c1) = sk_c7)),
% 2.91/2.08 inference(transitivity,[status(thm)],[514, 513])).
% 2.91/2.08 tff(516,plain,
% 2.91/2.08 ((inverse(sk_c1) = sk_c7) <=> (inverse(sk_c3) = sk_c9)),
% 2.91/2.08 inference(symmetry,[status(thm)],[515])).
% 2.91/2.08 tff(517,plain,
% 2.91/2.08 (sk_c8 = inverse(sk_c1)),
% 2.91/2.08 inference(transitivity,[status(thm)],[472, 465, 457, 454, 449, 442])).
% 2.91/2.08 tff(518,plain,
% 2.91/2.08 ((inverse(sk_c3) = sk_c8) <=> (sk_c7 = inverse(sk_c1))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[15, 517])).
% 2.91/2.08 tff(519,plain,
% 2.91/2.08 ((inverse(sk_c3) = sk_c8) <=> (inverse(sk_c1) = sk_c7)),
% 2.91/2.08 inference(transitivity,[status(thm)],[518, 513])).
% 2.91/2.08 tff(520,plain,
% 2.91/2.08 ((inverse(sk_c3) = sk_c8) <=> (inverse(sk_c3) = sk_c9)),
% 2.91/2.08 inference(transitivity,[status(thm)],[519, 516])).
% 2.91/2.08 tff(521,plain,
% 2.91/2.08 (inverse(sk_c3) = sk_c9),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[512, 520])).
% 2.91/2.08 tff(522,plain,
% 2.91/2.08 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c2)) | (~(multiply(sk_c9, sk_c2) = sk_c8)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c2)) | (~(multiply(sk_c9, sk_c2) = sk_c8)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.08 tff(523,plain,
% 2.91/2.08 (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c2)) | (~(multiply(sk_c9, sk_c2) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c2)) | (~(multiply(sk_c9, sk_c2) = sk_c8)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.08 tff(524,plain,
% 2.91/2.08 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c2)) | (~(multiply(sk_c9, sk_c2) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c2)) | (~(multiply(sk_c9, sk_c2) = sk_c8)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9))))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[523])).
% 2.91/2.08 tff(525,plain,
% 2.91/2.08 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c2)) | (~(multiply(sk_c9, sk_c2) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c2)) | (~(multiply(sk_c9, sk_c2) = sk_c8)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)))),
% 2.91/2.08 inference(transitivity,[status(thm)],[524, 522])).
% 2.91/2.08 tff(526,plain,
% 2.91/2.08 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c2)) | (~(multiply(sk_c9, sk_c2) = sk_c8)))),
% 2.91/2.08 inference(quant_inst,[status(thm)],[])).
% 2.91/2.08 tff(527,plain,
% 2.91/2.08 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = sk_c2)) | (~(multiply(sk_c9, sk_c2) = sk_c8)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9))),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[526, 525])).
% 2.91/2.08 tff(528,plain,
% 2.91/2.08 ((~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7))),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[527, 425, 471, 463, 441, 355, 15, 347])).
% 2.91/2.08 tff(529,plain,
% 2.91/2.08 (~(inverse(sk_c8) = sk_c7)),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[528, 521, 512, 511, 507, 508])).
% 2.91/2.08 tff(530,plain,
% 2.91/2.08 ($false),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[529, 502])).
% 2.91/2.08 tff(531,plain,(inverse(sk_c5) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 2.91/2.08 tff(532,plain,
% 2.91/2.08 (sk_c8 = inverse(sk_c5)),
% 2.91/2.08 inference(symmetry,[status(thm)],[531])).
% 2.91/2.08 tff(533,assumption,(~(multiply(sk_c4, sk_c8) = sk_c7)), introduced(assumption)).
% 2.91/2.08 tff(534,plain,
% 2.91/2.08 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.08 tff(535,axiom,((inverse(sk_c3) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_37')).
% 2.91/2.08 tff(536,plain,
% 2.91/2.08 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[535, 534])).
% 2.91/2.08 tff(537,plain,
% 2.91/2.08 (inverse(sk_c3) = sk_c7),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[536, 533])).
% 2.91/2.08 tff(538,plain,
% 2.91/2.08 ((inverse(sk_c3) = sk_c8) <=> (sk_c7 = inverse(sk_c5))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[537, 532])).
% 2.91/2.08 tff(539,plain,
% 2.91/2.08 ((inverse(sk_c3) = sk_c8) <=> (inverse(sk_c5) = sk_c7)),
% 2.91/2.08 inference(transitivity,[status(thm)],[538, 10])).
% 2.91/2.08 tff(540,plain,
% 2.91/2.08 ((~(inverse(sk_c3) = sk_c8)) <=> (~(inverse(sk_c5) = sk_c7))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[539])).
% 2.91/2.08 tff(541,plain,
% 2.91/2.08 (((multiply(sk_c1, sk_c9) = sk_c2) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c1, sk_c9) = sk_c2) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.08 tff(542,axiom,((multiply(sk_c1, sk_c9) = sk_c2) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_16')).
% 2.91/2.08 tff(543,plain,
% 2.91/2.08 ((multiply(sk_c1, sk_c9) = sk_c2) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[542, 541])).
% 2.91/2.08 tff(544,plain,
% 2.91/2.08 (multiply(sk_c1, sk_c9) = sk_c2),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[543, 533])).
% 2.91/2.08 tff(545,plain,
% 2.91/2.08 (sk_c2 = multiply(sk_c1, sk_c9)),
% 2.91/2.08 inference(symmetry,[status(thm)],[544])).
% 2.91/2.08 tff(546,plain,
% 2.91/2.08 (multiply(sk_c2, sk_c2) = multiply(sk_c2, multiply(sk_c1, sk_c9))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[545])).
% 2.91/2.08 tff(547,plain,
% 2.91/2.08 (multiply(multiply(sk_c1, sk_c9), sk_c2) = multiply(sk_c2, sk_c2)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[544])).
% 2.91/2.08 tff(548,plain,
% 2.91/2.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c9), sk_c2) = multiply(sk_c1, multiply(sk_c9, sk_c2)))),
% 2.91/2.08 inference(quant_inst,[status(thm)],[])).
% 2.91/2.08 tff(549,plain,
% 2.91/2.08 (multiply(multiply(sk_c1, sk_c9), sk_c2) = multiply(sk_c1, multiply(sk_c9, sk_c2))),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[548, 7])).
% 2.91/2.08 tff(550,plain,
% 2.91/2.08 (multiply(sk_c1, multiply(sk_c9, sk_c2)) = multiply(multiply(sk_c1, sk_c9), sk_c2)),
% 2.91/2.08 inference(symmetry,[status(thm)],[549])).
% 2.91/2.08 tff(551,assumption,(~(multiply(sk_c9, sk_c2) = sk_c8)), introduced(assumption)).
% 2.91/2.08 tff(552,plain,
% 2.91/2.08 (((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c9, sk_c2) = sk_c8)) <=> ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c9, sk_c2) = sk_c8))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.08 tff(553,plain,
% 2.91/2.08 (((multiply(sk_c9, sk_c2) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c9, sk_c2) = sk_c8))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.08 tff(554,axiom,((multiply(sk_c9, sk_c2) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_9')).
% 2.91/2.08 tff(555,plain,
% 2.91/2.08 ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c9, sk_c2) = sk_c8)),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[554, 553])).
% 2.91/2.08 tff(556,plain,
% 2.91/2.08 ((multiply(sk_c4, sk_c8) = sk_c7) | (multiply(sk_c9, sk_c2) = sk_c8)),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[555, 552])).
% 2.91/2.08 tff(557,plain,
% 2.91/2.08 (multiply(sk_c4, sk_c8) = sk_c7),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[556, 551])).
% 2.91/2.08 tff(558,plain,
% 2.91/2.08 (sk_c7 = multiply(sk_c4, sk_c8)),
% 2.91/2.08 inference(symmetry,[status(thm)],[557])).
% 2.91/2.08 tff(559,plain,
% 2.91/2.08 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c4, sk_c8), sk_c5)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[558])).
% 2.91/2.08 tff(560,plain,
% 2.91/2.08 (multiply(multiply(sk_c4, sk_c8), sk_c5) = multiply(sk_c7, sk_c5)),
% 2.91/2.08 inference(symmetry,[status(thm)],[559])).
% 2.91/2.08 tff(561,plain,
% 2.91/2.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c5) = multiply(sk_c4, multiply(sk_c8, sk_c5)))),
% 2.91/2.08 inference(quant_inst,[status(thm)],[])).
% 2.91/2.08 tff(562,plain,
% 2.91/2.08 (multiply(multiply(sk_c4, sk_c8), sk_c5) = multiply(sk_c4, multiply(sk_c8, sk_c5))),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[561, 7])).
% 2.91/2.08 tff(563,plain,
% 2.91/2.08 (multiply(sk_c4, multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c4, sk_c8), sk_c5)),
% 2.91/2.08 inference(symmetry,[status(thm)],[562])).
% 2.91/2.08 tff(564,plain,
% 2.91/2.08 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c4, sk_c8))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[558])).
% 2.91/2.08 tff(565,plain,
% 2.91/2.08 (multiply(sk_c7, multiply(sk_c4, sk_c8)) = multiply(sk_c7, sk_c7)),
% 2.91/2.08 inference(symmetry,[status(thm)],[564])).
% 2.91/2.08 tff(566,plain,
% 2.91/2.08 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), sk_c8) = multiply(sk_c7, multiply(sk_c4, sk_c8)))),
% 2.91/2.08 inference(quant_inst,[status(thm)],[])).
% 2.91/2.08 tff(567,plain,
% 2.91/2.08 (multiply(multiply(sk_c7, sk_c4), sk_c8) = multiply(sk_c7, multiply(sk_c4, sk_c8))),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[566, 7])).
% 2.91/2.08 tff(568,plain,
% 2.91/2.08 (multiply(sk_c8, sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 2.91/2.08 inference(monotonicity,[status(thm)],[532])).
% 2.91/2.08 tff(569,plain,
% 2.91/2.08 (multiply(inverse(sk_c5), sk_c5) = multiply(sk_c8, sk_c5)),
% 2.91/2.08 inference(symmetry,[status(thm)],[568])).
% 2.91/2.08 tff(570,assumption,(~(inverse(sk_c4) = sk_c8)), introduced(assumption)).
% 2.91/2.08 tff(571,plain,
% 2.91/2.08 (((inverse(sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.08 tff(572,axiom,((inverse(sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_38')).
% 2.91/2.08 tff(573,plain,
% 2.91/2.08 ((inverse(sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 2.91/2.08 inference(modus_ponens,[status(thm)],[572, 571])).
% 2.91/2.08 tff(574,plain,
% 2.91/2.08 (inverse(sk_c3) = sk_c7),
% 2.91/2.08 inference(unit_resolution,[status(thm)],[573, 570])).
% 2.91/2.08 tff(575,plain,
% 2.91/2.08 ((inverse(sk_c3) = sk_c8) <=> (sk_c7 = inverse(sk_c5))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[574, 532])).
% 2.91/2.08 tff(576,plain,
% 2.91/2.08 ((inverse(sk_c3) = sk_c8) <=> (inverse(sk_c5) = sk_c7)),
% 2.91/2.08 inference(transitivity,[status(thm)],[575, 10])).
% 2.91/2.08 tff(577,plain,
% 2.91/2.08 ((~(inverse(sk_c3) = sk_c8)) <=> (~(inverse(sk_c5) = sk_c7))),
% 2.91/2.08 inference(monotonicity,[status(thm)],[576])).
% 2.91/2.08 tff(578,plain,
% 2.91/2.08 (((inverse(sk_c1) = sk_c9) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c9) | (inverse(sk_c4) = sk_c8))),
% 2.91/2.08 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(579,axiom,((inverse(sk_c1) = sk_c9) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_24')).
% 2.91/2.09 tff(580,plain,
% 2.91/2.09 ((inverse(sk_c1) = sk_c9) | (inverse(sk_c4) = sk_c8)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[579, 578])).
% 2.91/2.09 tff(581,plain,
% 2.91/2.09 (inverse(sk_c1) = sk_c9),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[580, 570])).
% 2.91/2.09 tff(582,plain,
% 2.91/2.09 (sk_c9 = inverse(sk_c1)),
% 2.91/2.09 inference(symmetry,[status(thm)],[581])).
% 2.91/2.09 tff(583,plain,
% 2.91/2.09 (multiply(sk_c9, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[582])).
% 2.91/2.09 tff(584,plain,
% 2.91/2.09 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c9, sk_c1)),
% 2.91/2.09 inference(symmetry,[status(thm)],[583])).
% 2.91/2.09 tff(585,plain,
% 2.91/2.09 (identity = multiply(sk_c9, sk_c1)),
% 2.91/2.09 inference(transitivity,[status(thm)],[451, 584])).
% 2.91/2.09 tff(586,plain,
% 2.91/2.09 (multiply(identity, sk_c9) = multiply(multiply(sk_c9, sk_c1), sk_c9)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[585])).
% 2.91/2.09 tff(587,plain,
% 2.91/2.09 (multiply(multiply(sk_c9, sk_c1), sk_c9) = multiply(identity, sk_c9)),
% 2.91/2.09 inference(symmetry,[status(thm)],[586])).
% 2.91/2.09 tff(588,plain,
% 2.91/2.09 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c9) = sk_c2)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c9) = sk_c2))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(589,plain,
% 2.91/2.09 (((multiply(sk_c1, sk_c9) = sk_c2) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c9) = sk_c2))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(590,axiom,((multiply(sk_c1, sk_c9) = sk_c2) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 2.91/2.09 tff(591,plain,
% 2.91/2.09 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c9) = sk_c2)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[590, 589])).
% 2.91/2.09 tff(592,plain,
% 2.91/2.09 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c9) = sk_c2)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[591, 588])).
% 2.91/2.09 tff(593,plain,
% 2.91/2.09 (multiply(sk_c1, sk_c9) = sk_c2),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[592, 570])).
% 2.91/2.09 tff(594,plain,
% 2.91/2.09 (multiply(sk_c9, multiply(sk_c1, sk_c9)) = multiply(sk_c9, sk_c2)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[593])).
% 2.91/2.09 tff(595,plain,
% 2.91/2.09 (multiply(sk_c9, sk_c2) = multiply(sk_c9, multiply(sk_c1, sk_c9))),
% 2.91/2.09 inference(symmetry,[status(thm)],[594])).
% 2.91/2.09 tff(596,plain,
% 2.91/2.09 (((inverse(sk_c4) = sk_c8) | (multiply(sk_c9, sk_c2) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c9, sk_c2) = sk_c8))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(597,plain,
% 2.91/2.09 (((multiply(sk_c9, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c9, sk_c2) = sk_c8))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(598,axiom,((multiply(sk_c9, sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_10')).
% 2.91/2.09 tff(599,plain,
% 2.91/2.09 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c9, sk_c2) = sk_c8)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[598, 597])).
% 2.91/2.09 tff(600,plain,
% 2.91/2.09 ((inverse(sk_c4) = sk_c8) | (multiply(sk_c9, sk_c2) = sk_c8)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[599, 596])).
% 2.91/2.09 tff(601,plain,
% 2.91/2.09 (multiply(sk_c9, sk_c2) = sk_c8),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[600, 570])).
% 2.91/2.09 tff(602,plain,
% 2.91/2.09 (sk_c8 = multiply(sk_c9, sk_c2)),
% 2.91/2.09 inference(symmetry,[status(thm)],[601])).
% 2.91/2.09 tff(603,plain,
% 2.91/2.09 (sk_c7 = inverse(sk_c3)),
% 2.91/2.09 inference(symmetry,[status(thm)],[574])).
% 2.91/2.09 tff(604,plain,
% 2.91/2.09 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[603])).
% 2.91/2.09 tff(605,plain,
% 2.91/2.09 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 2.91/2.09 inference(symmetry,[status(thm)],[604])).
% 2.91/2.09 tff(606,plain,
% 2.91/2.09 (identity = multiply(sk_c7, sk_c3)),
% 2.91/2.09 inference(transitivity,[status(thm)],[39, 605])).
% 2.91/2.09 tff(607,plain,
% 2.91/2.09 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[606])).
% 2.91/2.09 tff(608,plain,
% 2.91/2.09 (sk_c7 = sk_c9),
% 2.91/2.09 inference(transitivity,[status(thm)],[473, 607, 44, 356, 425, 602, 595, 457, 587, 449])).
% 2.91/2.09 tff(609,plain,
% 2.91/2.09 (sk_c9 = sk_c8),
% 2.91/2.09 inference(transitivity,[status(thm)],[496, 586, 456, 594, 601])).
% 2.91/2.09 tff(610,plain,
% 2.91/2.09 (multiply(sk_c3, sk_c9) = multiply(sk_c3, sk_c8)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[609])).
% 2.91/2.09 tff(611,plain,
% 2.91/2.09 ((multiply(sk_c3, sk_c9) = sk_c7) <=> (multiply(sk_c3, sk_c8) = sk_c9)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[610, 608])).
% 2.91/2.09 tff(612,plain,
% 2.91/2.09 ((multiply(sk_c3, sk_c8) = sk_c9) <=> (multiply(sk_c3, sk_c9) = sk_c7)),
% 2.91/2.09 inference(symmetry,[status(thm)],[611])).
% 2.91/2.09 tff(613,plain,
% 2.91/2.09 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 2.91/2.09 inference(symmetry,[status(thm)],[607])).
% 2.91/2.09 tff(614,plain,
% 2.91/2.09 (sk_c8 = sk_c7),
% 2.91/2.09 inference(transitivity,[status(thm)],[426, 357, 45, 613, 26])).
% 2.91/2.09 tff(615,plain,
% 2.91/2.09 (multiply(sk_c3, sk_c8) = multiply(sk_c3, sk_c7)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[614])).
% 2.91/2.09 tff(616,plain,
% 2.91/2.09 (multiply(sk_c3, sk_c8) = sk_c9),
% 2.91/2.09 inference(transitivity,[status(thm)],[615, 355])).
% 2.91/2.09 tff(617,plain,
% 2.91/2.09 (multiply(sk_c3, sk_c9) = sk_c7),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[616, 612])).
% 2.91/2.09 tff(618,plain,
% 2.91/2.09 ((multiply(sk_c3, sk_c8) = sk_c7) <=> (multiply(sk_c3, sk_c8) = sk_c9)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[608])).
% 2.91/2.09 tff(619,plain,
% 2.91/2.09 ((multiply(sk_c3, sk_c8) = sk_c9) <=> (multiply(sk_c3, sk_c8) = sk_c7)),
% 2.91/2.09 inference(symmetry,[status(thm)],[618])).
% 2.91/2.09 tff(620,plain,
% 2.91/2.09 (multiply(sk_c3, sk_c8) = sk_c7),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[616, 619])).
% 2.91/2.09 tff(621,assumption,(~(inverse(sk_c8) = sk_c7)), introduced(assumption)).
% 2.91/2.09 tff(622,plain,
% 2.91/2.09 (((inverse(sk_c3) = sk_c7) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (inverse(sk_c8) = sk_c7))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(623,axiom,((inverse(sk_c3) = sk_c7) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_36')).
% 2.91/2.09 tff(624,plain,
% 2.91/2.09 ((inverse(sk_c3) = sk_c7) | (inverse(sk_c8) = sk_c7)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[623, 622])).
% 2.91/2.09 tff(625,plain,
% 2.91/2.09 (inverse(sk_c3) = sk_c7),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[624, 621])).
% 2.91/2.09 tff(626,plain,
% 2.91/2.09 (sk_c7 = inverse(sk_c3)),
% 2.91/2.09 inference(symmetry,[status(thm)],[625])).
% 2.91/2.09 tff(627,plain,
% 2.91/2.09 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[626])).
% 2.91/2.09 tff(628,plain,
% 2.91/2.09 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 2.91/2.09 inference(symmetry,[status(thm)],[627])).
% 2.91/2.09 tff(629,plain,
% 2.91/2.09 (identity = multiply(sk_c7, sk_c3)),
% 2.91/2.09 inference(transitivity,[status(thm)],[39, 628])).
% 2.91/2.09 tff(630,plain,
% 2.91/2.09 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[629])).
% 2.91/2.09 tff(631,plain,
% 2.91/2.09 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 2.91/2.09 inference(symmetry,[status(thm)],[630])).
% 2.91/2.09 tff(632,plain,
% 2.91/2.09 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c9, sk_c2) = sk_c8)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c9, sk_c2) = sk_c8))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(633,plain,
% 2.91/2.09 (((multiply(sk_c9, sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c9, sk_c2) = sk_c8))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(634,axiom,((multiply(sk_c9, sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_8')).
% 2.91/2.09 tff(635,plain,
% 2.91/2.09 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c9, sk_c2) = sk_c8)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[634, 633])).
% 2.91/2.09 tff(636,plain,
% 2.91/2.09 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c9, sk_c2) = sk_c8)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[635, 632])).
% 2.91/2.09 tff(637,plain,
% 2.91/2.09 (multiply(sk_c9, sk_c2) = sk_c8),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[636, 621])).
% 2.91/2.09 tff(638,plain,
% 2.91/2.09 (((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c9) = sk_c2)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c9) = sk_c2))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(639,plain,
% 2.91/2.09 (((multiply(sk_c1, sk_c9) = sk_c2) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c9) = sk_c2))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(640,axiom,((multiply(sk_c1, sk_c9) = sk_c2) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_15')).
% 2.91/2.09 tff(641,plain,
% 2.91/2.09 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c9) = sk_c2)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[640, 639])).
% 2.91/2.09 tff(642,plain,
% 2.91/2.09 ((inverse(sk_c8) = sk_c7) | (multiply(sk_c1, sk_c9) = sk_c2)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[641, 638])).
% 2.91/2.09 tff(643,plain,
% 2.91/2.09 (multiply(sk_c1, sk_c9) = sk_c2),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[642, 621])).
% 2.91/2.09 tff(644,plain,
% 2.91/2.09 (sk_c2 = multiply(sk_c1, sk_c9)),
% 2.91/2.09 inference(symmetry,[status(thm)],[643])).
% 2.91/2.09 tff(645,plain,
% 2.91/2.09 (multiply(sk_c9, sk_c2) = multiply(sk_c9, multiply(sk_c1, sk_c9))),
% 2.91/2.09 inference(monotonicity,[status(thm)],[644])).
% 2.91/2.09 tff(646,plain,
% 2.91/2.09 (multiply(sk_c9, multiply(sk_c1, sk_c9)) = multiply(sk_c9, sk_c2)),
% 2.91/2.09 inference(symmetry,[status(thm)],[645])).
% 2.91/2.09 tff(647,plain,
% 2.91/2.09 (((inverse(sk_c1) = sk_c9) | (inverse(sk_c8) = sk_c7)) <=> ((inverse(sk_c1) = sk_c9) | (inverse(sk_c8) = sk_c7))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(648,axiom,((inverse(sk_c1) = sk_c9) | (inverse(sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_22')).
% 2.91/2.09 tff(649,plain,
% 2.91/2.09 ((inverse(sk_c1) = sk_c9) | (inverse(sk_c8) = sk_c7)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[648, 647])).
% 2.91/2.09 tff(650,plain,
% 2.91/2.09 (inverse(sk_c1) = sk_c9),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[649, 621])).
% 2.91/2.09 tff(651,plain,
% 2.91/2.09 (sk_c9 = inverse(sk_c1)),
% 2.91/2.09 inference(symmetry,[status(thm)],[650])).
% 2.91/2.09 tff(652,plain,
% 2.91/2.09 (multiply(sk_c9, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[651])).
% 2.91/2.09 tff(653,plain,
% 2.91/2.09 (multiply(sk_c9, sk_c1) = multiply(inverse(sk_c8), sk_c8)),
% 2.91/2.09 inference(transitivity,[status(thm)],[652, 437, 253])).
% 2.91/2.09 tff(654,plain,
% 2.91/2.09 (multiply(multiply(sk_c9, sk_c1), sk_c9) = multiply(multiply(inverse(sk_c8), sk_c8), sk_c9)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[653])).
% 2.91/2.09 tff(655,plain,
% 2.91/2.09 (multiply(multiply(inverse(sk_c8), sk_c8), sk_c9) = multiply(multiply(sk_c9, sk_c1), sk_c9)),
% 2.91/2.09 inference(symmetry,[status(thm)],[654])).
% 2.91/2.09 tff(656,plain,
% 2.91/2.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c8), sk_c9) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c9)))),
% 2.91/2.09 inference(quant_inst,[status(thm)],[])).
% 2.91/2.09 tff(657,plain,
% 2.91/2.09 (multiply(multiply(inverse(sk_c8), sk_c8), sk_c9) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c9))),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[656, 7])).
% 2.91/2.09 tff(658,plain,
% 2.91/2.09 (multiply(inverse(sk_c8), multiply(sk_c8, sk_c9)) = multiply(multiply(inverse(sk_c8), sk_c8), sk_c9)),
% 2.91/2.09 inference(symmetry,[status(thm)],[657])).
% 2.91/2.09 tff(659,plain,
% 2.91/2.09 (sk_c8 = sk_c7),
% 2.91/2.09 inference(transitivity,[status(thm)],[426, 357, 45, 631, 26])).
% 2.91/2.09 tff(660,plain,
% 2.91/2.09 (multiply(sk_c8, sk_c9) = multiply(sk_c7, sk_c9)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[659])).
% 2.91/2.09 tff(661,plain,
% 2.91/2.09 (multiply(sk_c8, sk_c9) = sk_c8),
% 2.91/2.09 inference(transitivity,[status(thm)],[660, 425])).
% 2.91/2.09 tff(662,plain,
% 2.91/2.09 (multiply(inverse(sk_c8), multiply(sk_c8, sk_c9)) = multiply(inverse(sk_c8), sk_c8)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[661])).
% 2.91/2.09 tff(663,plain,
% 2.91/2.09 (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c8, sk_c9))),
% 2.91/2.09 inference(symmetry,[status(thm)],[662])).
% 2.91/2.09 tff(664,plain,
% 2.91/2.09 (identity = sk_c7),
% 2.91/2.09 inference(transitivity,[status(thm)],[253, 663, 658, 655, 456, 646, 637, 426, 357, 45, 631, 26])).
% 2.91/2.09 tff(665,plain,
% 2.91/2.09 (multiply(identity, sk_c3) = multiply(sk_c7, sk_c3)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[664])).
% 2.91/2.09 tff(666,plain,
% 2.91/2.09 (multiply(sk_c7, sk_c3) = multiply(identity, sk_c3)),
% 2.91/2.09 inference(symmetry,[status(thm)],[665])).
% 2.91/2.09 tff(667,plain,
% 2.91/2.09 (sk_c8 = multiply(sk_c9, sk_c2)),
% 2.91/2.09 inference(symmetry,[status(thm)],[637])).
% 2.91/2.09 tff(668,plain,
% 2.91/2.09 (sk_c8 = sk_c3),
% 2.91/2.09 inference(transitivity,[status(thm)],[667, 645, 457, 654, 657, 662, 47, 39, 628, 666, 24])).
% 2.91/2.09 tff(669,plain,
% 2.91/2.09 (inverse(sk_c8) = inverse(sk_c3)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[668])).
% 2.91/2.09 tff(670,plain,
% 2.91/2.09 (inverse(sk_c8) = sk_c7),
% 2.91/2.09 inference(transitivity,[status(thm)],[669, 625])).
% 2.91/2.09 tff(671,plain,
% 2.91/2.09 ($false),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[621, 670])).
% 2.91/2.09 tff(672,plain,(inverse(sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 2.91/2.09 tff(673,plain,
% 2.91/2.09 (sk_c7 = inverse(sk_c8)),
% 2.91/2.09 inference(symmetry,[status(thm)],[672])).
% 2.91/2.09 tff(674,plain,
% 2.91/2.09 (inverse(sk_c3) = inverse(sk_c8)),
% 2.91/2.09 inference(transitivity,[status(thm)],[574, 673])).
% 2.91/2.09 tff(675,plain,
% 2.91/2.09 ((inverse(sk_c3) = sk_c9) <=> (inverse(sk_c8) = sk_c9)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[674])).
% 2.91/2.09 tff(676,plain,
% 2.91/2.09 ((inverse(sk_c8) = sk_c9) <=> (inverse(sk_c3) = sk_c9)),
% 2.91/2.09 inference(symmetry,[status(thm)],[675])).
% 2.91/2.09 tff(677,plain,
% 2.91/2.09 (sk_c9 = inverse(sk_c5)),
% 2.91/2.09 inference(transitivity,[status(thm)],[496, 586, 456, 594, 601, 532])).
% 2.91/2.09 tff(678,plain,
% 2.91/2.09 ((inverse(sk_c8) = sk_c9) <=> (sk_c7 = inverse(sk_c5))),
% 2.91/2.09 inference(monotonicity,[status(thm)],[672, 677])).
% 2.91/2.09 tff(679,plain,
% 2.91/2.09 ((inverse(sk_c8) = sk_c9) <=> (inverse(sk_c5) = sk_c7)),
% 2.91/2.09 inference(transitivity,[status(thm)],[678, 10])).
% 2.91/2.09 tff(680,plain,
% 2.91/2.09 ((inverse(sk_c5) = sk_c7) <=> (inverse(sk_c8) = sk_c9)),
% 2.91/2.09 inference(symmetry,[status(thm)],[679])).
% 2.91/2.09 tff(681,plain,
% 2.91/2.09 ((inverse(sk_c5) = sk_c7) <=> (inverse(sk_c3) = sk_c9)),
% 2.91/2.09 inference(transitivity,[status(thm)],[680, 676])).
% 2.91/2.09 tff(682,plain,
% 2.91/2.09 (inverse(sk_c5) = sk_c7),
% 2.91/2.09 inference(transitivity,[status(thm)],[531, 426, 357, 45, 613, 26])).
% 2.91/2.09 tff(683,plain,
% 2.91/2.09 (inverse(sk_c3) = sk_c9),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[682, 681])).
% 2.91/2.09 tff(684,plain,
% 2.91/2.09 ((~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7))),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[527, 425, 672, 601, 593, 581, 355, 574, 347])).
% 2.91/2.09 tff(685,plain,
% 2.91/2.09 (~(inverse(sk_c3) = sk_c8)),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[684, 683, 620, 616, 617])).
% 2.91/2.09 tff(686,plain,
% 2.91/2.09 (~(inverse(sk_c5) = sk_c7)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[685, 577])).
% 2.91/2.09 tff(687,plain,
% 2.91/2.09 ($false),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[682, 686])).
% 2.91/2.09 tff(688,plain,(inverse(sk_c4) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 2.91/2.09 tff(689,plain,
% 2.91/2.09 (sk_c8 = inverse(sk_c4)),
% 2.91/2.09 inference(symmetry,[status(thm)],[688])).
% 2.91/2.09 tff(690,plain,
% 2.91/2.09 (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[689])).
% 2.91/2.09 tff(691,plain,
% 2.91/2.09 (multiply(sk_c8, sk_c4) = multiply(sk_c8, sk_c5)),
% 2.91/2.09 inference(transitivity,[status(thm)],[690, 147, 95, 569])).
% 2.91/2.09 tff(692,plain,
% 2.91/2.09 (multiply(sk_c4, multiply(sk_c8, sk_c4)) = multiply(sk_c4, multiply(sk_c8, sk_c5))),
% 2.91/2.09 inference(monotonicity,[status(thm)],[691])).
% 2.91/2.09 tff(693,plain,
% 2.91/2.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c4) = multiply(sk_c4, multiply(sk_c8, sk_c4)))),
% 2.91/2.09 inference(quant_inst,[status(thm)],[])).
% 2.91/2.09 tff(694,plain,
% 2.91/2.09 (multiply(multiply(sk_c4, sk_c8), sk_c4) = multiply(sk_c4, multiply(sk_c8, sk_c4))),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[693, 7])).
% 2.91/2.09 tff(695,plain,
% 2.91/2.09 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c4, sk_c8), sk_c4)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[558])).
% 2.91/2.09 tff(696,plain,
% 2.91/2.09 (multiply(sk_c7, sk_c4) = multiply(sk_c7, sk_c5)),
% 2.91/2.09 inference(transitivity,[status(thm)],[695, 694, 692, 563, 560])).
% 2.91/2.09 tff(697,plain,
% 2.91/2.09 (multiply(multiply(sk_c7, sk_c4), sk_c8) = multiply(multiply(sk_c7, sk_c5), sk_c8)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[696])).
% 2.91/2.09 tff(698,plain,
% 2.91/2.09 (multiply(multiply(sk_c7, sk_c5), sk_c8) = multiply(multiply(sk_c7, sk_c4), sk_c8)),
% 2.91/2.09 inference(symmetry,[status(thm)],[697])).
% 2.91/2.09 tff(699,plain,
% 2.91/2.09 (((multiply(sk_c5, sk_c8) = sk_c9) | (multiply(sk_c9, sk_c2) = sk_c8)) <=> ((multiply(sk_c5, sk_c8) = sk_c9) | (multiply(sk_c9, sk_c2) = sk_c8))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(700,plain,
% 2.91/2.09 (((multiply(sk_c9, sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)) <=> ((multiply(sk_c5, sk_c8) = sk_c9) | (multiply(sk_c9, sk_c2) = sk_c8))),
% 2.91/2.09 inference(rewrite,[status(thm)],[])).
% 2.91/2.09 tff(701,axiom,((multiply(sk_c9, sk_c2) = sk_c8) | (multiply(sk_c5, sk_c8) = sk_c9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 2.91/2.09 tff(702,plain,
% 2.91/2.09 ((multiply(sk_c5, sk_c8) = sk_c9) | (multiply(sk_c9, sk_c2) = sk_c8)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[701, 700])).
% 2.91/2.09 tff(703,plain,
% 2.91/2.09 ((multiply(sk_c5, sk_c8) = sk_c9) | (multiply(sk_c9, sk_c2) = sk_c8)),
% 2.91/2.09 inference(modus_ponens,[status(thm)],[702, 699])).
% 2.91/2.09 tff(704,plain,
% 2.91/2.09 (multiply(sk_c5, sk_c8) = sk_c9),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[703, 551])).
% 2.91/2.09 tff(705,plain,
% 2.91/2.09 (multiply(sk_c7, multiply(sk_c5, sk_c8)) = multiply(sk_c7, sk_c9)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[704])).
% 2.91/2.09 tff(706,plain,
% 2.91/2.09 (multiply(sk_c7, sk_c9) = multiply(sk_c7, multiply(sk_c5, sk_c8))),
% 2.91/2.09 inference(symmetry,[status(thm)],[705])).
% 2.91/2.09 tff(707,plain,
% 2.91/2.09 (sk_c8 = multiply(sk_c7, sk_c7)),
% 2.91/2.09 inference(transitivity,[status(thm)],[426, 706, 209, 698, 567, 565])).
% 2.91/2.09 tff(708,plain,
% 2.91/2.09 (multiply(sk_c8, sk_c9) = multiply(multiply(sk_c7, sk_c7), sk_c9)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[707])).
% 2.91/2.09 tff(709,plain,
% 2.91/2.09 (multiply(multiply(sk_c7, sk_c7), sk_c9) = multiply(sk_c8, sk_c9)),
% 2.91/2.09 inference(symmetry,[status(thm)],[708])).
% 2.91/2.09 tff(710,plain,
% 2.91/2.09 (multiply(sk_c7, multiply(sk_c7, sk_c9)) = multiply(inverse(sk_c8), sk_c8)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[673, 425])).
% 2.91/2.09 tff(711,plain,
% 2.91/2.09 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c9))),
% 2.91/2.09 inference(symmetry,[status(thm)],[710])).
% 2.91/2.09 tff(712,plain,
% 2.91/2.09 (multiply(sk_c8, sk_c5) = multiply(sk_c8, sk_c9)),
% 2.91/2.09 inference(transitivity,[status(thm)],[568, 88, 253, 711, 250, 709])).
% 2.91/2.09 tff(713,plain,
% 2.91/2.09 (multiply(sk_c4, multiply(sk_c8, sk_c5)) = multiply(sk_c4, multiply(sk_c8, sk_c9))),
% 2.91/2.09 inference(monotonicity,[status(thm)],[712])).
% 2.91/2.09 tff(714,plain,
% 2.91/2.09 (multiply(sk_c4, multiply(sk_c8, sk_c9)) = multiply(sk_c4, multiply(sk_c8, sk_c5))),
% 2.91/2.09 inference(symmetry,[status(thm)],[713])).
% 2.91/2.09 tff(715,plain,
% 2.91/2.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c9) = multiply(sk_c4, multiply(sk_c8, sk_c9)))),
% 2.91/2.09 inference(quant_inst,[status(thm)],[])).
% 2.91/2.09 tff(716,plain,
% 2.91/2.09 (multiply(multiply(sk_c4, sk_c8), sk_c9) = multiply(sk_c4, multiply(sk_c8, sk_c9))),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[715, 7])).
% 2.91/2.09 tff(717,plain,
% 2.91/2.09 (multiply(multiply(sk_c4, sk_c8), sk_c9) = multiply(sk_c7, sk_c9)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[557])).
% 2.91/2.09 tff(718,plain,
% 2.91/2.09 (multiply(sk_c7, sk_c9) = multiply(multiply(sk_c4, sk_c8), sk_c9)),
% 2.91/2.09 inference(symmetry,[status(thm)],[717])).
% 2.91/2.09 tff(719,plain,
% 2.91/2.09 (sk_c8 = multiply(sk_c7, sk_c5)),
% 2.91/2.09 inference(transitivity,[status(thm)],[426, 718, 716, 714, 563, 560])).
% 2.91/2.09 tff(720,plain,
% 2.91/2.09 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c7, sk_c5), sk_c8)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[719])).
% 2.91/2.09 tff(721,plain,
% 2.91/2.09 (multiply(multiply(sk_c7, sk_c5), sk_c8) = multiply(sk_c8, sk_c8)),
% 2.91/2.09 inference(symmetry,[status(thm)],[720])).
% 2.91/2.09 tff(722,plain,
% 2.91/2.09 (sk_c8 = multiply(sk_c8, sk_c8)),
% 2.91/2.09 inference(transitivity,[status(thm)],[426, 706, 209, 721])).
% 2.91/2.09 tff(723,plain,
% 2.91/2.09 (multiply(sk_c4, sk_c8) = multiply(sk_c4, multiply(sk_c8, sk_c8))),
% 2.91/2.09 inference(monotonicity,[status(thm)],[722])).
% 2.91/2.09 tff(724,plain,
% 2.91/2.09 (multiply(sk_c4, multiply(sk_c8, sk_c8)) = multiply(sk_c4, sk_c8)),
% 2.91/2.09 inference(symmetry,[status(thm)],[723])).
% 2.91/2.09 tff(725,plain,
% 2.91/2.09 (multiply(sk_c4, sk_c8) = inverse(sk_c8)),
% 2.91/2.09 inference(transitivity,[status(thm)],[557, 673])).
% 2.91/2.09 tff(726,plain,
% 2.91/2.09 (multiply(multiply(sk_c4, sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[725])).
% 2.91/2.09 tff(727,plain,
% 2.91/2.09 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c4, sk_c8), sk_c8)),
% 2.91/2.09 inference(symmetry,[status(thm)],[726])).
% 2.91/2.09 tff(728,plain,
% 2.91/2.09 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c7, sk_c7), sk_c9)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[704])).
% 2.91/2.09 tff(729,plain,
% 2.91/2.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c7), sk_c5), sk_c8) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c8)))),
% 2.91/2.09 inference(quant_inst,[status(thm)],[])).
% 2.91/2.09 tff(730,plain,
% 2.91/2.09 (multiply(multiply(multiply(sk_c7, sk_c7), sk_c5), sk_c8) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c8))),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[729, 7])).
% 2.91/2.09 tff(731,plain,
% 2.91/2.09 (multiply(sk_c7, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, sk_c4), sk_c8)),
% 2.91/2.09 inference(symmetry,[status(thm)],[567])).
% 2.91/2.09 tff(732,plain,
% 2.91/2.09 (multiply(sk_c7, sk_c7) = inverse(sk_c5)),
% 2.91/2.09 inference(transitivity,[status(thm)],[564, 731, 697, 128, 705, 425, 532])).
% 2.91/2.09 tff(733,plain,
% 2.91/2.09 (multiply(multiply(sk_c7, sk_c7), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[732])).
% 2.91/2.09 tff(734,plain,
% 2.91/2.09 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(sk_c7, sk_c7), sk_c5)),
% 2.91/2.09 inference(symmetry,[status(thm)],[733])).
% 2.91/2.09 tff(735,plain,
% 2.91/2.09 (identity = multiply(multiply(sk_c7, sk_c7), sk_c5)),
% 2.91/2.09 inference(transitivity,[status(thm)],[95, 734])).
% 2.91/2.09 tff(736,plain,
% 2.91/2.09 (multiply(identity, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c7), sk_c5), sk_c8)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[735])).
% 2.91/2.09 tff(737,plain,
% 2.91/2.09 (multiply(sk_c4, multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c4, sk_c8), sk_c9)),
% 2.91/2.09 inference(symmetry,[status(thm)],[716])).
% 2.91/2.09 tff(738,plain,
% 2.91/2.09 (identity = sk_c7),
% 2.91/2.09 inference(transitivity,[status(thm)],[253, 727, 63, 724, 557])).
% 2.91/2.09 tff(739,plain,
% 2.91/2.09 (multiply(identity, sk_c5) = multiply(sk_c7, sk_c5)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[738])).
% 2.91/2.09 tff(740,plain,
% 2.91/2.09 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 2.91/2.09 inference(quant_inst,[status(thm)],[])).
% 2.91/2.09 tff(741,plain,
% 2.91/2.09 (multiply(identity, sk_c5) = sk_c5),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[740, 22])).
% 2.91/2.09 tff(742,plain,
% 2.91/2.09 (sk_c5 = multiply(identity, sk_c5)),
% 2.91/2.09 inference(symmetry,[status(thm)],[741])).
% 2.91/2.09 tff(743,plain,
% 2.91/2.09 (sk_c5 = sk_c7),
% 2.91/2.09 inference(transitivity,[status(thm)],[742, 739, 559, 562, 713, 737, 717, 425, 116, 736, 730, 728, 249, 710, 727, 63, 724, 557])).
% 2.91/2.09 tff(744,plain,
% 2.91/2.09 ((multiply(sk_c4, sk_c9) = sk_c5) <=> (multiply(sk_c4, sk_c9) = sk_c7)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[743])).
% 2.91/2.09 tff(745,plain,
% 2.91/2.09 ((multiply(sk_c4, sk_c9) = sk_c7) <=> (multiply(sk_c4, sk_c9) = sk_c5)),
% 2.91/2.09 inference(symmetry,[status(thm)],[744])).
% 2.91/2.09 tff(746,plain,
% 2.91/2.09 (multiply(sk_c8, sk_c4) = sk_c7),
% 2.91/2.09 inference(transitivity,[status(thm)],[690, 147, 253, 727, 63, 724, 557])).
% 2.91/2.09 tff(747,plain,
% 2.91/2.09 (multiply(multiply(sk_c8, sk_c4), sk_c9) = multiply(sk_c7, sk_c9)),
% 2.91/2.09 inference(monotonicity,[status(thm)],[746])).
% 2.91/2.09 tff(748,plain,
% 2.91/2.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c9) = multiply(sk_c8, multiply(sk_c4, sk_c9)))),
% 2.91/2.09 inference(quant_inst,[status(thm)],[])).
% 2.91/2.09 tff(749,plain,
% 2.91/2.09 (multiply(multiply(sk_c8, sk_c4), sk_c9) = multiply(sk_c8, multiply(sk_c4, sk_c9))),
% 2.91/2.09 inference(unit_resolution,[status(thm)],[748, 7])).
% 2.91/2.09 tff(750,plain,
% 2.91/2.09 (multiply(sk_c8, multiply(sk_c4, sk_c9)) = multiply(multiply(sk_c8, sk_c4), sk_c9)),
% 2.91/2.09 inference(symmetry,[status(thm)],[749])).
% 2.91/2.09 tff(751,plain,
% 2.91/2.09 (multiply(multiply(multiply(sk_c7, sk_c7), sk_c5), sk_c8) = multiply(identity, sk_c8)),
% 2.91/2.09 inference(symmetry,[status(thm)],[736])).
% 2.91/2.09 tff(752,plain,
% 2.91/2.09 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c8)) = multiply(multiply(multiply(sk_c7, sk_c7), sk_c5), sk_c8)),
% 2.91/2.09 inference(symmetry,[status(thm)],[730])).
% 2.91/2.09 tff(753,plain,
% 2.91/2.09 (multiply(multiply(sk_c7, sk_c7), sk_c9) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c5, sk_c8))),
% 2.91/2.09 inference(symmetry,[status(thm)],[728])).
% 2.91/2.09 tff(754,plain,
% 2.91/2.09 (identity = sk_c8),
% 2.91/2.09 inference(transitivity,[status(thm)],[253, 711, 250, 753, 752, 751, 86])).
% 2.91/2.09 tff(755,plain,
% 2.91/2.09 (multiply(identity, multiply(sk_c4, sk_c9)) = multiply(sk_c8, multiply(sk_c4, sk_c9))),
% 2.91/2.09 inference(monotonicity,[status(thm)],[754])).
% 2.91/2.09 tff(756,plain,
% 2.93/2.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c4), sk_c9) = multiply(identity, multiply(sk_c4, sk_c9)))),
% 2.93/2.09 inference(quant_inst,[status(thm)],[])).
% 2.93/2.09 tff(757,plain,
% 2.93/2.09 (multiply(multiply(identity, sk_c4), sk_c9) = multiply(identity, multiply(sk_c4, sk_c9))),
% 2.93/2.09 inference(unit_resolution,[status(thm)],[756, 7])).
% 2.93/2.09 tff(758,plain,
% 2.93/2.09 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 2.93/2.09 inference(quant_inst,[status(thm)],[])).
% 2.93/2.09 tff(759,plain,
% 2.93/2.09 (multiply(identity, sk_c4) = sk_c4),
% 2.93/2.09 inference(unit_resolution,[status(thm)],[758, 22])).
% 2.93/2.09 tff(760,plain,
% 2.93/2.09 (sk_c4 = multiply(identity, sk_c4)),
% 2.93/2.09 inference(symmetry,[status(thm)],[759])).
% 2.93/2.09 tff(761,plain,
% 2.93/2.09 (multiply(sk_c4, sk_c9) = multiply(multiply(identity, sk_c4), sk_c9)),
% 2.93/2.09 inference(monotonicity,[status(thm)],[760])).
% 2.93/2.09 tff(762,plain,
% 2.93/2.09 (multiply(sk_c4, sk_c9) = sk_c7),
% 2.93/2.09 inference(transitivity,[status(thm)],[761, 757, 755, 750, 747, 425, 116, 736, 730, 728, 249, 710, 727, 63, 724, 557])).
% 2.93/2.09 tff(763,plain,
% 2.93/2.09 (multiply(sk_c4, sk_c9) = sk_c5),
% 2.93/2.09 inference(modus_ponens,[status(thm)],[762, 745])).
% 2.93/2.09 tff(764,plain,
% 2.93/2.09 (inverse(sk_c4) = inverse(sk_c5)),
% 2.93/2.09 inference(transitivity,[status(thm)],[688, 532])).
% 2.93/2.09 tff(765,plain,
% 2.93/2.09 ((inverse(sk_c4) = sk_c9) <=> (inverse(sk_c5) = sk_c9)),
% 2.93/2.09 inference(monotonicity,[status(thm)],[764])).
% 2.93/2.09 tff(766,plain,
% 2.93/2.09 ((inverse(sk_c5) = sk_c9) <=> (inverse(sk_c4) = sk_c9)),
% 2.93/2.09 inference(symmetry,[status(thm)],[765])).
% 2.93/2.09 tff(767,plain,
% 2.93/2.09 (inverse(sk_c5) = inverse(sk_c8)),
% 2.93/2.09 inference(transitivity,[status(thm)],[531, 116, 736, 730, 728, 249, 710, 727, 63, 724, 557, 673])).
% 2.93/2.09 tff(768,plain,
% 2.93/2.09 ((inverse(sk_c5) = sk_c9) <=> (inverse(sk_c8) = sk_c9)),
% 2.93/2.09 inference(monotonicity,[status(thm)],[767])).
% 2.93/2.09 tff(769,plain,
% 2.93/2.09 ((inverse(sk_c8) = sk_c9) <=> (inverse(sk_c5) = sk_c9)),
% 2.93/2.09 inference(symmetry,[status(thm)],[768])).
% 2.93/2.09 tff(770,plain,
% 2.93/2.09 ((inverse(sk_c8) = sk_c9) <=> (inverse(sk_c4) = sk_c9)),
% 2.93/2.09 inference(transitivity,[status(thm)],[769, 766])).
% 2.93/2.09 tff(771,plain,
% 2.93/2.09 (multiply(identity, sk_c9) = multiply(sk_c7, sk_c9)),
% 2.93/2.09 inference(monotonicity,[status(thm)],[738])).
% 2.93/2.09 tff(772,plain,
% 2.93/2.09 (multiply(sk_c7, sk_c9) = multiply(identity, sk_c9)),
% 2.93/2.09 inference(symmetry,[status(thm)],[771])).
% 2.93/2.09 tff(773,plain,
% 2.93/2.09 (inverse(sk_c8) = sk_c9),
% 2.93/2.09 inference(transitivity,[status(thm)],[672, 558, 723, 64, 726, 711, 250, 753, 752, 751, 86, 426, 772, 449])).
% 2.93/2.09 tff(774,plain,
% 2.93/2.09 (inverse(sk_c4) = sk_c9),
% 2.93/2.09 inference(modus_ponens,[status(thm)],[773, 770])).
% 2.93/2.09 tff(775,plain,
% 2.93/2.09 (multiply(sk_c8, sk_c9) = sk_c7),
% 2.93/2.09 inference(transitivity,[status(thm)],[708, 249, 710, 727, 63, 724, 557])).
% 2.93/2.09 tff(776,plain,
% 2.93/2.09 ((multiply(sk_c3, multiply(sk_c7, sk_c5)) = multiply(sk_c8, sk_c9)) <=> (multiply(sk_c8, sk_c9) = multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.09 inference(commutativity,[status(thm)],[])).
% 2.93/2.09 tff(777,plain,
% 2.93/2.09 (sk_c8 = multiply(sk_c8, sk_c9)),
% 2.93/2.09 inference(transitivity,[status(thm)],[116, 736, 730, 728, 709])).
% 2.93/2.09 tff(778,plain,
% 2.93/2.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c5) = multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.09 inference(quant_inst,[status(thm)],[])).
% 2.93/2.09 tff(779,plain,
% 2.93/2.09 (multiply(multiply(sk_c3, sk_c7), sk_c5) = multiply(sk_c3, multiply(sk_c7, sk_c5))),
% 2.93/2.09 inference(unit_resolution,[status(thm)],[778, 7])).
% 2.93/2.09 tff(780,plain,
% 2.93/2.09 (sk_c9 = multiply(sk_c3, sk_c7)),
% 2.93/2.09 inference(symmetry,[status(thm)],[355])).
% 2.93/2.09 tff(781,plain,
% 2.93/2.09 (multiply(sk_c9, sk_c5) = multiply(multiply(sk_c3, sk_c7), sk_c5)),
% 2.93/2.09 inference(monotonicity,[status(thm)],[780])).
% 2.93/2.09 tff(782,plain,
% 2.93/2.09 (multiply(sk_c9, sk_c5) = multiply(sk_c3, multiply(sk_c7, sk_c5))),
% 2.93/2.09 inference(transitivity,[status(thm)],[781, 779])).
% 2.93/2.09 tff(783,plain,
% 2.93/2.09 ((multiply(sk_c9, sk_c5) = sk_c8) <=> (multiply(sk_c3, multiply(sk_c7, sk_c5)) = multiply(sk_c8, sk_c9))),
% 2.93/2.09 inference(monotonicity,[status(thm)],[782, 777])).
% 2.93/2.09 tff(784,plain,
% 2.93/2.09 ((multiply(sk_c9, sk_c5) = sk_c8) <=> (multiply(sk_c8, sk_c9) = multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.09 inference(transitivity,[status(thm)],[783, 776])).
% 2.93/2.09 tff(785,plain,
% 2.93/2.09 ((multiply(sk_c8, sk_c9) = multiply(sk_c3, multiply(sk_c7, sk_c5))) <=> (multiply(sk_c9, sk_c5) = sk_c8)),
% 2.93/2.09 inference(symmetry,[status(thm)],[784])).
% 2.93/2.09 tff(786,plain,
% 2.93/2.09 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.09 inference(quant_inst,[status(thm)],[])).
% 2.93/2.09 tff(787,plain,
% 2.93/2.09 (multiply(identity, multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(sk_c3, multiply(sk_c7, sk_c5))),
% 2.93/2.09 inference(unit_resolution,[status(thm)],[786, 22])).
% 2.93/2.09 tff(788,plain,
% 2.93/2.09 (multiply(identity, multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.09 inference(monotonicity,[status(thm)],[738])).
% 2.93/2.09 tff(789,plain,
% 2.93/2.09 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(identity, multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.09 inference(symmetry,[status(thm)],[788])).
% 2.93/2.09 tff(790,plain,
% 2.93/2.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.93/2.09 inference(quant_inst,[status(thm)],[])).
% 2.93/2.09 tff(791,plain,
% 2.93/2.09 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c7, sk_c5)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.09 inference(unit_resolution,[status(thm)],[790, 7])).
% 2.93/2.09 tff(792,plain,
% 2.93/2.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c3), sk_c7), sk_c5) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c7, sk_c5)))),
% 2.93/2.09 inference(quant_inst,[status(thm)],[])).
% 2.93/2.09 tff(793,plain,
% 2.93/2.09 (multiply(multiply(multiply(sk_c7, sk_c3), sk_c7), sk_c5) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c7, sk_c5))),
% 2.93/2.09 inference(unit_resolution,[status(thm)],[792, 7])).
% 2.93/2.09 tff(794,plain,
% 2.93/2.09 (multiply(multiply(sk_c7, sk_c3), sk_c7) = inverse(sk_c5)),
% 2.93/2.09 inference(transitivity,[status(thm)],[44, 356, 425, 532])).
% 2.93/2.09 tff(795,plain,
% 2.93/2.09 (multiply(multiply(multiply(sk_c7, sk_c3), sk_c7), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 2.93/2.09 inference(monotonicity,[status(thm)],[794])).
% 2.93/2.09 tff(796,plain,
% 2.93/2.09 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(multiply(sk_c7, sk_c3), sk_c7), sk_c5)),
% 2.93/2.09 inference(symmetry,[status(thm)],[795])).
% 2.93/2.09 tff(797,plain,
% 2.93/2.09 (multiply(sk_c8, sk_c9) = multiply(sk_c3, multiply(sk_c7, sk_c5))),
% 2.93/2.09 inference(transitivity,[status(thm)],[708, 249, 710, 47, 95, 796, 793, 791, 789, 787])).
% 2.93/2.09 tff(798,plain,
% 2.93/2.09 (multiply(sk_c9, sk_c5) = sk_c8),
% 2.93/2.09 inference(modus_ponens,[status(thm)],[797, 785])).
% 2.93/2.09 tff(799,plain,
% 2.93/2.09 (inverse(sk_c5) = sk_c7),
% 2.93/2.09 inference(transitivity,[status(thm)],[531, 116, 736, 730, 728, 249, 710, 727, 63, 724, 557])).
% 2.93/2.09 tff(800,plain,
% 2.93/2.09 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c7, sk_c3), sk_c7), sk_c5)),
% 2.93/2.09 inference(symmetry,[status(thm)],[793])).
% 2.93/2.09 tff(801,plain,
% 2.93/2.09 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c7, sk_c5))),
% 2.93/2.09 inference(symmetry,[status(thm)],[791])).
% 2.93/2.09 tff(802,plain,
% 2.93/2.09 (multiply(sk_c3, multiply(sk_c7, sk_c5)) = multiply(identity, multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.09 inference(symmetry,[status(thm)],[787])).
% 2.93/2.09 tff(803,plain,
% 2.93/2.09 (multiply(multiply(sk_c5, sk_c8), sk_c5) = multiply(sk_c9, sk_c5)),
% 2.93/2.09 inference(monotonicity,[status(thm)],[704])).
% 2.93/2.09 tff(804,plain,
% 2.93/2.09 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c5) = multiply(sk_c5, multiply(sk_c8, sk_c5)))),
% 2.93/2.09 inference(quant_inst,[status(thm)],[])).
% 2.93/2.09 tff(805,plain,
% 2.93/2.09 (multiply(multiply(sk_c5, sk_c8), sk_c5) = multiply(sk_c5, multiply(sk_c8, sk_c5))),
% 2.93/2.09 inference(unit_resolution,[status(thm)],[804, 7])).
% 2.93/2.09 tff(806,plain,
% 2.93/2.09 (multiply(sk_c5, multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c5, sk_c8), sk_c5)),
% 2.93/2.09 inference(symmetry,[status(thm)],[805])).
% 2.93/2.10 tff(807,plain,
% 2.93/2.10 (sk_c7 = multiply(sk_c8, sk_c5)),
% 2.93/2.10 inference(transitivity,[status(thm)],[558, 723, 64, 726, 47, 95, 569])).
% 2.93/2.10 tff(808,plain,
% 2.93/2.10 (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(sk_c8, sk_c5))),
% 2.93/2.10 inference(monotonicity,[status(thm)],[807])).
% 2.93/2.10 tff(809,plain,
% 2.93/2.10 (multiply(sk_c5, sk_c7) = inverse(sk_c8)),
% 2.93/2.10 inference(transitivity,[status(thm)],[808, 806, 803, 781, 779, 802, 788, 801, 800, 795, 88, 253, 727, 63, 724, 557, 673])).
% 2.93/2.10 tff(810,plain,
% 2.93/2.10 ((multiply(sk_c5, sk_c7) = sk_c9) <=> (inverse(sk_c8) = sk_c9)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[809])).
% 2.93/2.10 tff(811,plain,
% 2.93/2.10 ((inverse(sk_c8) = sk_c9) <=> (multiply(sk_c5, sk_c7) = sk_c9)),
% 2.93/2.10 inference(symmetry,[status(thm)],[810])).
% 2.93/2.10 tff(812,plain,
% 2.93/2.10 (multiply(sk_c5, sk_c7) = sk_c9),
% 2.93/2.10 inference(modus_ponens,[status(thm)],[773, 811])).
% 2.93/2.10 tff(813,plain,
% 2.93/2.10 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c9)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c9, sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c9) = sk_c5)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c9)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c9, sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c9) = sk_c5)))),
% 2.93/2.10 inference(rewrite,[status(thm)],[])).
% 2.93/2.10 tff(814,plain,
% 2.93/2.10 (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c9)) | (~(multiply(sk_c4, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c9)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c9, sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c9) = sk_c5)))),
% 2.93/2.10 inference(rewrite,[status(thm)],[])).
% 2.93/2.10 tff(815,plain,
% 2.93/2.10 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c9)) | (~(multiply(sk_c4, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c9)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c9, sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c9) = sk_c5))))),
% 2.93/2.10 inference(monotonicity,[status(thm)],[814])).
% 2.93/2.10 tff(816,plain,
% 2.93/2.10 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c9)) | (~(multiply(sk_c4, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c9)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c9, sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c9) = sk_c5)))),
% 2.93/2.10 inference(transitivity,[status(thm)],[815, 813])).
% 2.93/2.10 tff(817,plain,
% 2.93/2.10 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c9)) | (~(multiply(sk_c4, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8)))),
% 2.93/2.10 inference(quant_inst,[status(thm)],[])).
% 2.93/2.10 tff(818,plain,
% 2.93/2.10 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c9)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c9)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c9, sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c9) = sk_c5))),
% 2.93/2.10 inference(modus_ponens,[status(thm)],[817, 816])).
% 2.93/2.10 tff(819,plain,
% 2.93/2.10 ((~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c4) = sk_c9)) | (~(inverse(sk_c5) = sk_c7)) | (~(multiply(sk_c5, sk_c7) = sk_c9)) | (~(multiply(sk_c4, sk_c8) = sk_c7)) | (~(multiply(sk_c5, sk_c8) = sk_c9)) | (~(multiply(sk_c9, sk_c5) = sk_c8)) | (~(multiply(sk_c4, sk_c9) = sk_c5))),
% 2.93/2.10 inference(unit_resolution,[status(thm)],[818, 425, 672, 688, 531, 347])).
% 2.93/2.10 tff(820,plain,
% 2.93/2.10 ($false),
% 2.93/2.10 inference(unit_resolution,[status(thm)],[819, 812, 799, 557, 704, 798, 773, 775, 774, 763])).
% 2.93/2.10 tff(821,plain,(multiply(sk_c9, sk_c2) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 2.93/2.10 tff(822,plain,
% 2.93/2.10 (sk_c8 = multiply(sk_c9, sk_c2)),
% 2.93/2.10 inference(symmetry,[status(thm)],[821])).
% 2.93/2.10 tff(823,plain,
% 2.93/2.10 (multiply(sk_c1, sk_c8) = multiply(sk_c1, multiply(sk_c9, sk_c2))),
% 2.93/2.10 inference(monotonicity,[status(thm)],[822])).
% 2.93/2.10 tff(824,plain,
% 2.93/2.10 (multiply(sk_c9, multiply(sk_c1, sk_c9)) = multiply(sk_c9, sk_c2)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[544])).
% 2.93/2.10 tff(825,plain,
% 2.93/2.10 (((inverse(sk_c1) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)) <=> ((inverse(sk_c1) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7))),
% 2.93/2.10 inference(rewrite,[status(thm)],[])).
% 2.93/2.10 tff(826,axiom,((inverse(sk_c1) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_23')).
% 2.93/2.10 tff(827,plain,
% 2.93/2.10 ((inverse(sk_c1) = sk_c9) | (multiply(sk_c4, sk_c8) = sk_c7)),
% 2.93/2.10 inference(modus_ponens,[status(thm)],[826, 825])).
% 2.93/2.10 tff(828,plain,
% 2.93/2.10 (inverse(sk_c1) = sk_c9),
% 2.93/2.10 inference(unit_resolution,[status(thm)],[827, 533])).
% 2.93/2.10 tff(829,plain,
% 2.93/2.10 (sk_c9 = inverse(sk_c1)),
% 2.93/2.10 inference(symmetry,[status(thm)],[828])).
% 2.93/2.10 tff(830,plain,
% 2.93/2.10 (multiply(sk_c9, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[829])).
% 2.93/2.10 tff(831,plain,
% 2.93/2.10 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c9, sk_c1)),
% 2.93/2.10 inference(symmetry,[status(thm)],[830])).
% 2.93/2.10 tff(832,plain,
% 2.93/2.10 (identity = multiply(sk_c9, sk_c1)),
% 2.93/2.10 inference(transitivity,[status(thm)],[451, 831])).
% 2.93/2.10 tff(833,plain,
% 2.93/2.10 (multiply(identity, sk_c9) = multiply(multiply(sk_c9, sk_c1), sk_c9)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[832])).
% 2.93/2.10 tff(834,plain,
% 2.93/2.10 (sk_c9 = sk_c8),
% 2.93/2.10 inference(transitivity,[status(thm)],[496, 833, 456, 824, 821])).
% 2.93/2.10 tff(835,plain,
% 2.93/2.10 (multiply(sk_c1, sk_c9) = multiply(sk_c1, sk_c8)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[834])).
% 2.93/2.10 tff(836,plain,
% 2.93/2.10 (multiply(sk_c1, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9))),
% 2.93/2.10 inference(transitivity,[status(thm)],[835, 823, 550, 547, 546])).
% 2.93/2.10 tff(837,plain,
% 2.93/2.10 (multiply(sk_c9, sk_c2) = multiply(multiply(identity, sk_c9), sk_c2)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[496])).
% 2.93/2.10 tff(838,plain,
% 2.93/2.10 (multiply(multiply(identity, sk_c9), sk_c2) = multiply(sk_c9, sk_c2)),
% 2.93/2.10 inference(symmetry,[status(thm)],[837])).
% 2.93/2.10 tff(839,plain,
% 2.93/2.10 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c9), sk_c2) = multiply(identity, multiply(sk_c9, sk_c2)))),
% 2.93/2.10 inference(quant_inst,[status(thm)],[])).
% 2.93/2.10 tff(840,plain,
% 2.93/2.10 (multiply(multiply(identity, sk_c9), sk_c2) = multiply(identity, multiply(sk_c9, sk_c2))),
% 2.93/2.10 inference(unit_resolution,[status(thm)],[839, 7])).
% 2.93/2.10 tff(841,plain,
% 2.93/2.10 (multiply(identity, multiply(sk_c9, sk_c2)) = multiply(multiply(identity, sk_c9), sk_c2)),
% 2.93/2.10 inference(symmetry,[status(thm)],[840])).
% 2.93/2.10 tff(842,plain,
% 2.93/2.10 (multiply(identity, multiply(sk_c9, sk_c2)) = multiply(multiply(sk_c9, sk_c1), sk_c8)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[832, 821])).
% 2.93/2.10 tff(843,plain,
% 2.93/2.10 (multiply(multiply(sk_c9, sk_c1), sk_c8) = multiply(identity, multiply(sk_c9, sk_c2))),
% 2.93/2.10 inference(symmetry,[status(thm)],[842])).
% 2.93/2.10 tff(844,plain,
% 2.93/2.10 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c1), sk_c8) = multiply(sk_c9, multiply(sk_c1, sk_c8)))),
% 2.93/2.10 inference(quant_inst,[status(thm)],[])).
% 2.93/2.10 tff(845,plain,
% 2.93/2.10 (multiply(multiply(sk_c9, sk_c1), sk_c8) = multiply(sk_c9, multiply(sk_c1, sk_c8))),
% 2.93/2.10 inference(unit_resolution,[status(thm)],[844, 7])).
% 2.93/2.10 tff(846,plain,
% 2.93/2.10 (multiply(sk_c9, multiply(sk_c1, sk_c8)) = multiply(multiply(sk_c9, sk_c1), sk_c8)),
% 2.93/2.10 inference(symmetry,[status(thm)],[845])).
% 2.93/2.10 tff(847,plain,
% 2.93/2.10 (multiply(sk_c1, sk_c8) = multiply(sk_c2, sk_c2)),
% 2.93/2.10 inference(transitivity,[status(thm)],[823, 550, 547])).
% 2.93/2.10 tff(848,plain,
% 2.93/2.10 (multiply(sk_c9, multiply(sk_c1, sk_c8)) = multiply(sk_c9, multiply(sk_c2, sk_c2))),
% 2.93/2.10 inference(monotonicity,[status(thm)],[847])).
% 2.93/2.10 tff(849,plain,
% 2.93/2.10 (multiply(sk_c9, multiply(sk_c2, sk_c2)) = multiply(sk_c9, multiply(sk_c1, sk_c8))),
% 2.93/2.10 inference(symmetry,[status(thm)],[848])).
% 2.93/2.10 tff(850,plain,
% 2.93/2.10 (multiply(sk_c2, multiply(sk_c1, sk_c9)) = multiply(sk_c2, sk_c2)),
% 2.93/2.10 inference(symmetry,[status(thm)],[546])).
% 2.93/2.10 tff(851,plain,
% 2.93/2.10 (multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = multiply(sk_c9, multiply(sk_c2, sk_c2))),
% 2.93/2.10 inference(monotonicity,[status(thm)],[850])).
% 2.93/2.10 tff(852,plain,
% 2.93/2.10 (multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = sk_c8),
% 2.93/2.10 inference(transitivity,[status(thm)],[851, 849, 846, 843, 841, 838, 821])).
% 2.93/2.10 tff(853,plain,
% 2.93/2.10 (multiply(multiply(sk_c9, sk_c1), sk_c9) = multiply(identity, sk_c9)),
% 2.93/2.10 inference(symmetry,[status(thm)],[833])).
% 2.93/2.10 tff(854,plain,
% 2.93/2.10 (multiply(sk_c9, sk_c2) = multiply(sk_c9, multiply(sk_c1, sk_c9))),
% 2.93/2.10 inference(symmetry,[status(thm)],[824])).
% 2.93/2.10 tff(855,plain,
% 2.93/2.10 (sk_c7 = inverse(sk_c3)),
% 2.93/2.10 inference(symmetry,[status(thm)],[537])).
% 2.93/2.10 tff(856,plain,
% 2.93/2.10 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[855])).
% 2.93/2.10 tff(857,plain,
% 2.93/2.10 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 2.93/2.10 inference(symmetry,[status(thm)],[856])).
% 2.93/2.10 tff(858,plain,
% 2.93/2.10 (identity = multiply(sk_c7, sk_c3)),
% 2.93/2.10 inference(transitivity,[status(thm)],[39, 857])).
% 2.93/2.10 tff(859,plain,
% 2.93/2.10 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[858])).
% 2.93/2.10 tff(860,plain,
% 2.93/2.10 (sk_c7 = sk_c9),
% 2.93/2.10 inference(transitivity,[status(thm)],[473, 859, 44, 356, 425, 822, 854, 457, 853, 449])).
% 2.93/2.10 tff(861,plain,
% 2.93/2.10 (multiply(sk_c3, sk_c9) = multiply(sk_c3, sk_c8)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[834])).
% 2.93/2.10 tff(862,plain,
% 2.93/2.10 ((multiply(sk_c3, sk_c9) = sk_c7) <=> (multiply(sk_c3, sk_c8) = sk_c9)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[861, 860])).
% 2.93/2.10 tff(863,plain,
% 2.93/2.10 ((multiply(sk_c3, sk_c8) = sk_c9) <=> (multiply(sk_c3, sk_c9) = sk_c7)),
% 2.93/2.10 inference(symmetry,[status(thm)],[862])).
% 2.93/2.10 tff(864,plain,
% 2.93/2.10 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 2.93/2.10 inference(symmetry,[status(thm)],[859])).
% 2.93/2.10 tff(865,plain,
% 2.93/2.10 (sk_c8 = sk_c7),
% 2.93/2.10 inference(transitivity,[status(thm)],[426, 357, 45, 864, 26])).
% 2.93/2.10 tff(866,plain,
% 2.93/2.10 (multiply(sk_c3, sk_c8) = multiply(sk_c3, sk_c7)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[865])).
% 2.93/2.10 tff(867,plain,
% 2.93/2.10 (multiply(sk_c3, sk_c8) = sk_c9),
% 2.93/2.10 inference(transitivity,[status(thm)],[866, 355])).
% 2.93/2.10 tff(868,plain,
% 2.93/2.10 (multiply(sk_c3, sk_c9) = sk_c7),
% 2.93/2.10 inference(modus_ponens,[status(thm)],[867, 863])).
% 2.93/2.10 tff(869,plain,
% 2.93/2.10 (inverse(sk_c3) = inverse(sk_c8)),
% 2.93/2.10 inference(transitivity,[status(thm)],[537, 673])).
% 2.93/2.10 tff(870,plain,
% 2.93/2.10 ((inverse(sk_c3) = sk_c9) <=> (inverse(sk_c8) = sk_c9)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[869])).
% 2.93/2.10 tff(871,plain,
% 2.93/2.10 ((inverse(sk_c8) = sk_c9) <=> (inverse(sk_c3) = sk_c9)),
% 2.93/2.10 inference(symmetry,[status(thm)],[870])).
% 2.93/2.10 tff(872,plain,
% 2.93/2.10 (sk_c9 = inverse(sk_c5)),
% 2.93/2.10 inference(transitivity,[status(thm)],[496, 833, 456, 824, 821, 532])).
% 2.93/2.10 tff(873,plain,
% 2.93/2.10 ((inverse(sk_c8) = sk_c9) <=> (sk_c7 = inverse(sk_c5))),
% 2.93/2.10 inference(monotonicity,[status(thm)],[672, 872])).
% 2.93/2.10 tff(874,plain,
% 2.93/2.10 ((inverse(sk_c8) = sk_c9) <=> (inverse(sk_c5) = sk_c7)),
% 2.93/2.10 inference(transitivity,[status(thm)],[873, 10])).
% 2.93/2.10 tff(875,plain,
% 2.93/2.10 ((inverse(sk_c5) = sk_c7) <=> (inverse(sk_c8) = sk_c9)),
% 2.93/2.10 inference(symmetry,[status(thm)],[874])).
% 2.93/2.10 tff(876,plain,
% 2.93/2.10 ((inverse(sk_c5) = sk_c7) <=> (inverse(sk_c3) = sk_c9)),
% 2.93/2.10 inference(transitivity,[status(thm)],[875, 871])).
% 2.93/2.10 tff(877,plain,
% 2.93/2.10 (inverse(sk_c5) = sk_c7),
% 2.93/2.10 inference(transitivity,[status(thm)],[531, 426, 357, 45, 864, 26])).
% 2.93/2.10 tff(878,plain,
% 2.93/2.10 (inverse(sk_c3) = sk_c9),
% 2.93/2.10 inference(modus_ponens,[status(thm)],[877, 876])).
% 2.93/2.10 tff(879,plain,
% 2.93/2.10 ((multiply(sk_c3, sk_c8) = sk_c7) <=> (multiply(sk_c3, sk_c8) = sk_c9)),
% 2.93/2.10 inference(monotonicity,[status(thm)],[860])).
% 2.93/2.10 tff(880,plain,
% 2.93/2.10 ((multiply(sk_c3, sk_c8) = sk_c9) <=> (multiply(sk_c3, sk_c8) = sk_c7)),
% 2.93/2.10 inference(symmetry,[status(thm)],[879])).
% 2.93/2.10 tff(881,plain,
% 2.93/2.10 (multiply(sk_c3, sk_c8) = sk_c7),
% 2.93/2.10 inference(modus_ponens,[status(thm)],[867, 880])).
% 2.93/2.10 tff(882,plain,
% 2.93/2.10 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = sk_c8)) | (~(multiply(sk_c1, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9)))))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = sk_c8)) | (~(multiply(sk_c1, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9)))))),
% 2.93/2.10 inference(rewrite,[status(thm)],[])).
% 2.93/2.10 tff(883,plain,
% 2.93/2.10 (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9)))) | (~(multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = sk_c8)) | (~(multiply(sk_c1, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9)))))),
% 2.93/2.11 inference(rewrite,[status(thm)],[])).
% 2.93/2.11 tff(884,plain,
% 2.93/2.11 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9)))) | (~(multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = sk_c8)) | (~(multiply(sk_c1, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9))))))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[883])).
% 2.93/2.11 tff(885,plain,
% 2.93/2.11 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9)))) | (~(multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = sk_c8)) | (~(multiply(sk_c1, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9)))))),
% 2.93/2.11 inference(transitivity,[status(thm)],[884, 882])).
% 2.93/2.11 tff(886,plain,
% 2.93/2.11 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(inverse(sk_c1) = sk_c9)) | (~(multiply(sk_c1, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9)))) | (~(multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = sk_c8)))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(887,plain,
% 2.93/2.11 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c1) = sk_c9)) | (~(inverse(sk_c3) = sk_c9)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c8)) | (~(multiply(sk_c3, sk_c8) = sk_c7)) | (~(multiply(sk_c3, sk_c8) = sk_c9)) | (~(multiply(sk_c3, sk_c9) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c9)) | (~(multiply(sk_c9, multiply(sk_c2, multiply(sk_c1, sk_c9))) = sk_c8)) | (~(multiply(sk_c1, sk_c9) = multiply(sk_c2, multiply(sk_c1, sk_c9))))),
% 2.93/2.11 inference(modus_ponens,[status(thm)],[886, 885])).
% 2.93/2.11 tff(888,plain,
% 2.93/2.11 (~(inverse(sk_c3) = sk_c8)),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[887, 425, 672, 828, 355, 537, 347, 881, 867, 878, 868, 852, 836])).
% 2.93/2.11 tff(889,plain,
% 2.93/2.11 (~(inverse(sk_c5) = sk_c7)),
% 2.93/2.11 inference(modus_ponens,[status(thm)],[888, 540])).
% 2.93/2.11 tff(890,plain,
% 2.93/2.11 ($false),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[877, 889])).
% 2.93/2.11 tff(891,plain,(multiply(sk_c4, sk_c8) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 2.93/2.11 tff(892,plain,
% 2.93/2.11 (multiply(sk_c4, multiply(sk_c7, sk_c9)) = multiply(sk_c4, sk_c8)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[425])).
% 2.93/2.11 tff(893,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c7), sk_c9) = multiply(sk_c4, multiply(sk_c7, sk_c9)))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(894,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, sk_c7), sk_c9) = multiply(sk_c4, multiply(sk_c7, sk_c9))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[893, 7])).
% 2.93/2.11 tff(895,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, sk_c7), sk_c9) = sk_c7),
% 2.93/2.11 inference(transitivity,[status(thm)],[894, 892, 891])).
% 2.93/2.11 tff(896,plain,
% 2.93/2.11 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c7), sk_c9)) = multiply(sk_c8, sk_c7)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[895])).
% 2.93/2.11 tff(897,plain,
% 2.93/2.11 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(multiply(sk_c4, sk_c7), sk_c9))),
% 2.93/2.11 inference(symmetry,[status(thm)],[896])).
% 2.93/2.11 tff(898,plain,
% 2.93/2.11 (sk_c7 = multiply(sk_c4, sk_c8)),
% 2.93/2.11 inference(symmetry,[status(thm)],[891])).
% 2.93/2.11 tff(899,plain,
% 2.93/2.11 (multiply(sk_c8, sk_c7) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[898])).
% 2.93/2.11 tff(900,plain,
% 2.93/2.11 (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(sk_c8, sk_c7)),
% 2.93/2.11 inference(symmetry,[status(thm)],[899])).
% 2.93/2.11 tff(901,plain,
% 2.93/2.11 (multiply(sk_c8, sk_c4) = identity),
% 2.93/2.11 inference(transitivity,[status(thm)],[690, 147])).
% 2.93/2.11 tff(902,plain,
% 2.93/2.11 (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(identity, sk_c8)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[901])).
% 2.93/2.11 tff(903,plain,
% 2.93/2.11 (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 2.93/2.11 inference(symmetry,[status(thm)],[902])).
% 2.93/2.11 tff(904,plain,
% 2.93/2.11 (sk_c8 = multiply(sk_c8, multiply(multiply(sk_c4, sk_c7), sk_c9))),
% 2.93/2.11 inference(transitivity,[status(thm)],[116, 903, 184, 900, 897])).
% 2.93/2.11 tff(905,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c3), sk_c4) = multiply(sk_c4, multiply(sk_c3, sk_c4)))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(906,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, sk_c3), sk_c4) = multiply(sk_c4, multiply(sk_c3, sk_c4))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[905, 7])).
% 2.93/2.11 tff(907,plain,
% 2.93/2.11 (multiply(sk_c4, multiply(sk_c3, sk_c4)) = multiply(multiply(sk_c4, sk_c3), sk_c4)),
% 2.93/2.11 inference(symmetry,[status(thm)],[906])).
% 2.93/2.11 tff(908,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, multiply(sk_c3, sk_c4)), sk_c8) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), multiply(sk_c8, multiply(multiply(sk_c4, sk_c7), sk_c9)))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[907, 904])).
% 2.93/2.11 tff(909,plain,
% 2.93/2.11 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), multiply(sk_c8, multiply(multiply(sk_c4, sk_c7), sk_c9))) = multiply(multiply(sk_c4, multiply(sk_c3, sk_c4)), sk_c8)),
% 2.93/2.11 inference(symmetry,[status(thm)],[908])).
% 2.93/2.11 tff(910,plain,
% 2.93/2.11 (multiply(sk_c8, multiply(multiply(sk_c4, sk_c7), sk_c9)) = multiply(identity, sk_c8)),
% 2.93/2.11 inference(transitivity,[status(thm)],[896, 899, 185, 902])).
% 2.93/2.11 tff(911,plain,
% 2.93/2.11 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), multiply(sk_c8, multiply(multiply(sk_c4, sk_c7), sk_c9))) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), multiply(identity, sk_c8))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[910])).
% 2.93/2.11 tff(912,plain,
% 2.93/2.11 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), multiply(identity, sk_c8)) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), multiply(sk_c8, multiply(multiply(sk_c4, sk_c7), sk_c9)))),
% 2.93/2.11 inference(symmetry,[status(thm)],[911])).
% 2.93/2.11 tff(913,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), identity), sk_c8) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), multiply(identity, sk_c8)))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(914,plain,
% 2.93/2.11 (multiply(multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), identity), sk_c8) = multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), multiply(identity, sk_c8))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[913, 7])).
% 2.93/2.11 tff(915,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c2) = multiply(sk_c3, multiply(sk_c7, sk_c2)))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(916,plain,
% 2.93/2.11 (multiply(multiply(sk_c3, sk_c7), sk_c2) = multiply(sk_c3, multiply(sk_c7, sk_c2))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[915, 7])).
% 2.93/2.11 tff(917,plain,
% 2.93/2.11 (multiply(multiply(sk_c3, sk_c7), sk_c2) = multiply(sk_c9, sk_c2)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[355])).
% 2.93/2.11 tff(918,plain,
% 2.93/2.11 (multiply(sk_c9, sk_c2) = multiply(multiply(sk_c3, sk_c7), sk_c2)),
% 2.93/2.11 inference(symmetry,[status(thm)],[917])).
% 2.93/2.11 tff(919,plain,
% 2.93/2.11 (sk_c8 = multiply(sk_c3, multiply(sk_c7, sk_c2))),
% 2.93/2.11 inference(transitivity,[status(thm)],[822, 918, 916])).
% 2.93/2.11 tff(920,plain,
% 2.93/2.11 (multiply(sk_c4, sk_c8) = multiply(sk_c4, multiply(sk_c3, multiply(sk_c7, sk_c2)))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[919])).
% 2.93/2.11 tff(921,plain,
% 2.93/2.11 (multiply(sk_c4, multiply(sk_c3, multiply(sk_c7, sk_c2))) = multiply(sk_c4, sk_c8)),
% 2.93/2.11 inference(symmetry,[status(thm)],[920])).
% 2.93/2.11 tff(922,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c2)) = multiply(sk_c4, multiply(sk_c3, multiply(sk_c7, sk_c2))))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(923,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c2)) = multiply(sk_c4, multiply(sk_c3, multiply(sk_c7, sk_c2)))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[922, 7])).
% 2.93/2.11 tff(924,plain,
% 2.93/2.11 (multiply(sk_c7, sk_c2) = multiply(multiply(sk_c4, sk_c8), sk_c2)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[898])).
% 2.93/2.11 tff(925,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, sk_c8), sk_c2) = multiply(sk_c7, sk_c2)),
% 2.93/2.11 inference(symmetry,[status(thm)],[924])).
% 2.93/2.11 tff(926,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), sk_c2) = multiply(sk_c4, multiply(sk_c8, sk_c2)))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(927,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, sk_c8), sk_c2) = multiply(sk_c4, multiply(sk_c8, sk_c2))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[926, 7])).
% 2.93/2.11 tff(928,plain,
% 2.93/2.11 (multiply(sk_c4, multiply(sk_c8, sk_c2)) = multiply(multiply(sk_c4, sk_c8), sk_c2)),
% 2.93/2.11 inference(symmetry,[status(thm)],[927])).
% 2.93/2.11 tff(929,plain,
% 2.93/2.11 (multiply(sk_c7, multiply(sk_c9, sk_c2)) = multiply(inverse(sk_c8), sk_c8)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[673, 821])).
% 2.93/2.11 tff(930,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c9), sk_c2) = multiply(sk_c7, multiply(sk_c9, sk_c2)))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(931,plain,
% 2.93/2.11 (multiply(multiply(sk_c7, sk_c9), sk_c2) = multiply(sk_c7, multiply(sk_c9, sk_c2))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[930, 7])).
% 2.93/2.11 tff(932,plain,
% 2.93/2.11 (multiply(sk_c8, sk_c2) = multiply(multiply(sk_c7, sk_c9), sk_c2)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[426])).
% 2.93/2.11 tff(933,plain,
% 2.93/2.11 (multiply(sk_c8, sk_c2) = multiply(sk_c8, sk_c5)),
% 2.93/2.11 inference(transitivity,[status(thm)],[932, 931, 929, 47, 95, 569])).
% 2.93/2.11 tff(934,plain,
% 2.93/2.11 (multiply(sk_c4, multiply(sk_c8, sk_c2)) = multiply(sk_c4, multiply(sk_c8, sk_c5))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[933])).
% 2.93/2.11 tff(935,plain,
% 2.93/2.11 (multiply(sk_c4, multiply(sk_c8, sk_c5)) = multiply(sk_c4, multiply(sk_c8, sk_c2))),
% 2.93/2.11 inference(symmetry,[status(thm)],[934])).
% 2.93/2.11 tff(936,plain,
% 2.93/2.11 (identity = multiply(sk_c8, sk_c5)),
% 2.93/2.11 inference(transitivity,[status(thm)],[95, 569])).
% 2.93/2.11 tff(937,plain,
% 2.93/2.11 (multiply(sk_c4, identity) = multiply(sk_c4, multiply(sk_c8, sk_c5))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[936])).
% 2.93/2.11 tff(938,plain,
% 2.93/2.11 (multiply(sk_c4, identity) = multiply(sk_c7, sk_c2)),
% 2.93/2.11 inference(transitivity,[status(thm)],[937, 935, 928, 925])).
% 2.93/2.11 tff(939,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, identity)) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c2))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[938])).
% 2.93/2.11 tff(940,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), identity) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, identity)))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(941,plain,
% 2.93/2.11 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), identity) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, identity))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[940, 7])).
% 2.93/2.11 tff(942,plain,
% 2.93/2.11 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), identity) = inverse(sk_c8)),
% 2.93/2.11 inference(transitivity,[status(thm)],[941, 939, 923, 921, 891, 673])).
% 2.93/2.11 tff(943,plain,
% 2.93/2.11 (multiply(multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), identity), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[942])).
% 2.93/2.11 tff(944,plain,
% 2.93/2.11 (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), identity), sk_c8)),
% 2.93/2.11 inference(symmetry,[status(thm)],[943])).
% 2.93/2.11 tff(945,plain,
% 2.93/2.11 (multiply(sk_c7, sk_c9) = multiply(multiply(sk_c4, sk_c8), sk_c9)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[898])).
% 2.93/2.11 tff(946,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, sk_c8), sk_c9) = multiply(sk_c7, sk_c9)),
% 2.93/2.11 inference(symmetry,[status(thm)],[945])).
% 2.93/2.11 tff(947,plain,
% 2.93/2.11 (multiply(sk_c4, multiply(sk_c8, sk_c9)) = sk_c8),
% 2.93/2.11 inference(transitivity,[status(thm)],[737, 946, 425])).
% 2.93/2.11 tff(948,plain,
% 2.93/2.11 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c8, sk_c9))) = multiply(inverse(sk_c8), sk_c8)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[673, 947])).
% 2.93/2.11 tff(949,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(sk_c8, sk_c9)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c8, sk_c9))))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(950,plain,
% 2.93/2.11 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c8, sk_c9)) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c8, sk_c9)))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[949, 7])).
% 2.93/2.11 tff(951,plain,
% 2.93/2.11 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c4, sk_c8), sk_c4)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[898])).
% 2.93/2.11 tff(952,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, sk_c8), sk_c4) = multiply(sk_c7, sk_c4)),
% 2.93/2.11 inference(symmetry,[status(thm)],[951])).
% 2.93/2.11 tff(953,plain,
% 2.93/2.11 (multiply(sk_c4, multiply(sk_c8, sk_c4)) = multiply(multiply(sk_c4, sk_c8), sk_c4)),
% 2.93/2.11 inference(symmetry,[status(thm)],[694])).
% 2.93/2.11 tff(954,plain,
% 2.93/2.11 (multiply(sk_c4, multiply(sk_c8, sk_c5)) = multiply(sk_c4, multiply(sk_c8, sk_c4))),
% 2.93/2.11 inference(symmetry,[status(thm)],[692])).
% 2.93/2.11 tff(955,plain,
% 2.93/2.11 (multiply(sk_c4, multiply(sk_c8, sk_c5)) = multiply(sk_c7, sk_c4)),
% 2.93/2.11 inference(transitivity,[status(thm)],[954, 953, 952])).
% 2.93/2.11 tff(956,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c5)), multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c8, sk_c9))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[955])).
% 2.93/2.11 tff(957,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), sk_c8) = multiply(sk_c3, multiply(sk_c4, sk_c8)))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(958,plain,
% 2.93/2.11 (multiply(multiply(sk_c3, sk_c4), sk_c8) = multiply(sk_c3, multiply(sk_c4, sk_c8))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[957, 7])).
% 2.93/2.11 tff(959,plain,
% 2.93/2.11 (multiply(sk_c3, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c3, sk_c4), sk_c8)),
% 2.93/2.11 inference(symmetry,[status(thm)],[958])).
% 2.93/2.11 tff(960,plain,
% 2.93/2.11 (multiply(sk_c3, sk_c7) = multiply(sk_c3, multiply(sk_c4, sk_c8))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[898])).
% 2.93/2.11 tff(961,plain,
% 2.93/2.11 (sk_c9 = multiply(multiply(sk_c3, sk_c4), sk_c8)),
% 2.93/2.11 inference(transitivity,[status(thm)],[780, 960, 959])).
% 2.93/2.11 tff(962,plain,
% 2.93/2.11 (multiply(sk_c8, sk_c9) = multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[961])).
% 2.93/2.11 tff(963,plain,
% 2.93/2.11 (multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)) = multiply(sk_c8, sk_c9)),
% 2.93/2.11 inference(symmetry,[status(thm)],[962])).
% 2.93/2.11 tff(964,plain,
% 2.93/2.11 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))) = multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(965,plain,
% 2.93/2.11 (multiply(identity, multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))) = multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[964, 22])).
% 2.93/2.11 tff(966,plain,
% 2.93/2.11 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 2.93/2.11 inference(symmetry,[status(thm)],[690])).
% 2.93/2.11 tff(967,plain,
% 2.93/2.11 (identity = multiply(inverse(sk_c4), sk_c4)),
% 2.93/2.11 inference(symmetry,[status(thm)],[147])).
% 2.93/2.11 tff(968,plain,
% 2.93/2.11 (identity = multiply(sk_c8, sk_c4)),
% 2.93/2.11 inference(transitivity,[status(thm)],[967, 966])).
% 2.93/2.11 tff(969,plain,
% 2.93/2.11 (multiply(identity, multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))) = multiply(multiply(sk_c8, sk_c4), multiply(sk_c8, sk_c9))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[968, 963])).
% 2.93/2.11 tff(970,plain,
% 2.93/2.11 (multiply(multiply(sk_c8, sk_c4), multiply(sk_c8, sk_c9)) = multiply(identity, multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)))),
% 2.93/2.11 inference(symmetry,[status(thm)],[969])).
% 2.93/2.11 tff(971,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), multiply(sk_c8, sk_c9)) = multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, sk_c9))))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(972,plain,
% 2.93/2.11 (multiply(multiply(sk_c8, sk_c4), multiply(sk_c8, sk_c9)) = multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, sk_c9)))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[971, 7])).
% 2.93/2.11 tff(973,plain,
% 2.93/2.11 (multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, sk_c9))) = multiply(multiply(sk_c8, sk_c4), multiply(sk_c8, sk_c9))),
% 2.93/2.11 inference(symmetry,[status(thm)],[972])).
% 2.93/2.11 tff(974,plain,
% 2.93/2.11 (multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, sk_c9))) = multiply(sk_c8, sk_c8)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[947])).
% 2.93/2.11 tff(975,plain,
% 2.93/2.11 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c4, multiply(sk_c8, sk_c9)))),
% 2.93/2.11 inference(symmetry,[status(thm)],[974])).
% 2.93/2.11 tff(976,plain,
% 2.93/2.11 (multiply(sk_c3, multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c3, sk_c7), sk_c2)),
% 2.93/2.11 inference(symmetry,[status(thm)],[916])).
% 2.93/2.11 tff(977,plain,
% 2.93/2.11 (multiply(sk_c7, sk_c5) = multiply(multiply(sk_c4, sk_c8), sk_c5)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[898])).
% 2.93/2.11 tff(978,plain,
% 2.93/2.11 (multiply(sk_c7, sk_c5) = multiply(sk_c7, sk_c2)),
% 2.93/2.11 inference(transitivity,[status(thm)],[977, 562, 935, 928, 925])).
% 2.93/2.11 tff(979,plain,
% 2.93/2.11 (multiply(sk_c3, multiply(sk_c7, sk_c5)) = multiply(sk_c3, multiply(sk_c7, sk_c2))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[978])).
% 2.93/2.11 tff(980,plain,
% 2.93/2.11 (multiply(sk_c3, multiply(sk_c7, sk_c5)) = sk_c8),
% 2.93/2.11 inference(transitivity,[status(thm)],[979, 976, 917, 821])).
% 2.93/2.11 tff(981,plain,
% 2.93/2.11 (multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(sk_c8, sk_c8)),
% 2.93/2.11 inference(monotonicity,[status(thm)],[980])).
% 2.93/2.11 tff(982,plain,
% 2.93/2.11 (multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(sk_c8, sk_c9)),
% 2.93/2.11 inference(transitivity,[status(thm)],[981, 975, 973, 970, 965, 963])).
% 2.93/2.11 tff(983,plain,
% 2.93/2.11 (multiply(multiply(sk_c4, multiply(sk_c8, sk_c5)), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c5)), multiply(sk_c8, sk_c9))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[982])).
% 2.93/2.11 tff(984,plain,
% 2.93/2.11 (multiply(sk_c7, sk_c4) = multiply(sk_c4, multiply(sk_c8, sk_c5))),
% 2.93/2.11 inference(transitivity,[status(thm)],[951, 694, 692])).
% 2.93/2.11 tff(985,plain,
% 2.93/2.11 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(multiply(sk_c4, multiply(sk_c8, sk_c5)), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.93/2.11 inference(monotonicity,[status(thm)],[984])).
% 2.93/2.11 tff(986,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))))),
% 2.93/2.11 inference(quant_inst,[status(thm)],[])).
% 2.93/2.11 tff(987,plain,
% 2.93/2.11 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))))),
% 2.93/2.11 inference(unit_resolution,[status(thm)],[986, 7])).
% 2.93/2.11 tff(988,plain,
% 2.93/2.11 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.93/2.11 inference(symmetry,[status(thm)],[987])).
% 2.93/2.11 tff(989,plain,
% 2.93/2.11 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c8), multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))))),
% 2.93/2.12 inference(quant_inst,[status(thm)],[])).
% 2.93/2.12 tff(990,plain,
% 2.93/2.12 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.93/2.12 inference(unit_resolution,[status(thm)],[989, 7])).
% 2.93/2.12 tff(991,plain,
% 2.93/2.12 (multiply(multiply(sk_c4, sk_c8), multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.12 inference(monotonicity,[status(thm)],[891])).
% 2.93/2.12 tff(992,plain,
% 2.93/2.12 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.12 inference(symmetry,[status(thm)],[991])).
% 2.93/2.12 tff(993,plain,
% 2.93/2.12 (multiply(sk_c9, sk_c2) = inverse(sk_c5)),
% 2.93/2.12 inference(transitivity,[status(thm)],[821, 532])).
% 2.93/2.12 tff(994,plain,
% 2.93/2.12 (multiply(multiply(sk_c9, sk_c2), sk_c5) = multiply(inverse(sk_c5), sk_c5)),
% 2.93/2.12 inference(monotonicity,[status(thm)],[993])).
% 2.93/2.12 tff(995,plain,
% 2.93/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c2), sk_c5) = multiply(sk_c9, multiply(sk_c2, sk_c5)))),
% 2.93/2.12 inference(quant_inst,[status(thm)],[])).
% 2.93/2.12 tff(996,plain,
% 2.93/2.12 (multiply(multiply(sk_c9, sk_c2), sk_c5) = multiply(sk_c9, multiply(sk_c2, sk_c5))),
% 2.93/2.12 inference(unit_resolution,[status(thm)],[995, 7])).
% 2.93/2.12 tff(997,plain,
% 2.93/2.12 (multiply(sk_c9, multiply(sk_c2, sk_c5)) = multiply(multiply(sk_c9, sk_c2), sk_c5)),
% 2.93/2.12 inference(symmetry,[status(thm)],[996])).
% 2.93/2.12 tff(998,plain,
% 2.93/2.12 (multiply(sk_c9, multiply(sk_c2, sk_c5)) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.93/2.12 inference(transitivity,[status(thm)],[997, 994, 796, 793, 791, 992, 990])).
% 2.93/2.12 tff(999,plain,
% 2.93/2.12 (multiply(sk_c7, multiply(sk_c9, multiply(sk_c2, sk_c5))) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))))),
% 2.93/2.12 inference(monotonicity,[status(thm)],[998])).
% 2.93/2.12 tff(1000,plain,
% 2.93/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c9), multiply(sk_c2, sk_c5)) = multiply(sk_c7, multiply(sk_c9, multiply(sk_c2, sk_c5))))),
% 2.93/2.12 inference(quant_inst,[status(thm)],[])).
% 2.93/2.12 tff(1001,plain,
% 2.93/2.12 (multiply(multiply(sk_c7, sk_c9), multiply(sk_c2, sk_c5)) = multiply(sk_c7, multiply(sk_c9, multiply(sk_c2, sk_c5)))),
% 2.93/2.12 inference(unit_resolution,[status(thm)],[1000, 7])).
% 2.93/2.12 tff(1002,plain,
% 2.93/2.12 (multiply(sk_c8, multiply(sk_c2, sk_c5)) = multiply(multiply(sk_c7, sk_c9), multiply(sk_c2, sk_c5))),
% 2.93/2.12 inference(monotonicity,[status(thm)],[426])).
% 2.93/2.12 tff(1003,plain,
% 2.93/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c5) = multiply(sk_c8, multiply(sk_c2, sk_c5)))),
% 2.93/2.12 inference(quant_inst,[status(thm)],[])).
% 2.93/2.12 tff(1004,plain,
% 2.93/2.12 (multiply(multiply(sk_c8, sk_c2), sk_c5) = multiply(sk_c8, multiply(sk_c2, sk_c5))),
% 2.93/2.12 inference(unit_resolution,[status(thm)],[1003, 7])).
% 2.93/2.12 tff(1005,plain,
% 2.93/2.12 (multiply(multiply(sk_c7, sk_c9), sk_c2) = multiply(sk_c8, sk_c2)),
% 2.93/2.12 inference(symmetry,[status(thm)],[932])).
% 2.93/2.12 tff(1006,plain,
% 2.93/2.12 (multiply(sk_c7, multiply(sk_c9, sk_c2)) = multiply(multiply(sk_c7, sk_c9), sk_c2)),
% 2.93/2.12 inference(symmetry,[status(thm)],[931])).
% 2.93/2.12 tff(1007,plain,
% 2.93/2.12 (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c9, sk_c2))),
% 2.93/2.12 inference(symmetry,[status(thm)],[929])).
% 2.93/2.12 tff(1008,plain,
% 2.93/2.12 (identity = multiply(sk_c8, sk_c2)),
% 2.93/2.12 inference(transitivity,[status(thm)],[253, 1007, 1006, 1005])).
% 2.93/2.12 tff(1009,plain,
% 2.93/2.12 (multiply(identity, sk_c5) = multiply(multiply(sk_c8, sk_c2), sk_c5)),
% 2.93/2.12 inference(monotonicity,[status(thm)],[1008])).
% 2.93/2.12 tff(1010,plain,
% 2.93/2.12 (sk_c5 = multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8))),
% 2.93/2.12 inference(transitivity,[status(thm)],[742, 1009, 1004, 1002, 1001, 999, 988, 985, 983, 956, 950, 948, 944, 914, 912, 909, 9])).
% 2.93/2.12 tff(1011,plain,
% 2.93/2.12 ((multiply(sk_c8, sk_c9) = sk_c5) <=> (multiply(sk_c8, sk_c9) = multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8)))),
% 2.93/2.12 inference(monotonicity,[status(thm)],[1010])).
% 2.93/2.12 tff(1012,plain,
% 2.93/2.12 ((multiply(sk_c8, sk_c9) = multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8))) <=> (multiply(sk_c8, sk_c9) = sk_c5)),
% 2.93/2.12 inference(symmetry,[status(thm)],[1011])).
% 2.93/2.12 tff(1013,plain,
% 2.93/2.12 (multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(multiply(sk_c4, sk_c8), multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.12 inference(symmetry,[status(thm)],[990])).
% 2.93/2.12 tff(1014,plain,
% 2.93/2.12 (multiply(identity, sk_c4) = multiply(multiply(sk_c8, sk_c2), sk_c4)),
% 2.93/2.12 inference(monotonicity,[status(thm)],[1008])).
% 2.93/2.12 tff(1015,plain,
% 2.93/2.12 (multiply(multiply(sk_c8, sk_c2), sk_c4) = multiply(identity, sk_c4)),
% 2.93/2.12 inference(symmetry,[status(thm)],[1014])).
% 2.93/2.12 tff(1016,plain,
% 2.93/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c4) = multiply(sk_c8, multiply(sk_c2, sk_c4)))),
% 2.93/2.12 inference(quant_inst,[status(thm)],[])).
% 2.93/2.12 tff(1017,plain,
% 2.93/2.12 (multiply(multiply(sk_c8, sk_c2), sk_c4) = multiply(sk_c8, multiply(sk_c2, sk_c4))),
% 2.93/2.12 inference(unit_resolution,[status(thm)],[1016, 7])).
% 2.93/2.12 tff(1018,plain,
% 2.93/2.12 (multiply(sk_c8, multiply(sk_c2, sk_c4)) = multiply(multiply(sk_c8, sk_c2), sk_c4)),
% 2.93/2.12 inference(symmetry,[status(thm)],[1017])).
% 2.93/2.12 tff(1019,plain,
% 2.93/2.12 (multiply(sk_c8, multiply(sk_c2, sk_c4)) = multiply(multiply(sk_c7, sk_c9), multiply(sk_c2, sk_c4))),
% 2.93/2.12 inference(monotonicity,[status(thm)],[426])).
% 2.93/2.12 tff(1020,plain,
% 2.93/2.12 (multiply(multiply(sk_c7, sk_c9), multiply(sk_c2, sk_c4)) = multiply(sk_c8, multiply(sk_c2, sk_c4))),
% 2.93/2.12 inference(symmetry,[status(thm)],[1019])).
% 2.93/2.12 tff(1021,plain,
% 2.93/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c9), multiply(sk_c2, sk_c4)) = multiply(sk_c7, multiply(sk_c9, multiply(sk_c2, sk_c4))))),
% 2.93/2.12 inference(quant_inst,[status(thm)],[])).
% 2.93/2.12 tff(1022,plain,
% 2.93/2.12 (multiply(multiply(sk_c7, sk_c9), multiply(sk_c2, sk_c4)) = multiply(sk_c7, multiply(sk_c9, multiply(sk_c2, sk_c4)))),
% 2.93/2.12 inference(unit_resolution,[status(thm)],[1021, 7])).
% 2.93/2.12 tff(1023,plain,
% 2.93/2.12 (multiply(sk_c7, multiply(sk_c9, multiply(sk_c2, sk_c4))) = multiply(multiply(sk_c7, sk_c9), multiply(sk_c2, sk_c4))),
% 2.93/2.12 inference(symmetry,[status(thm)],[1022])).
% 2.93/2.12 tff(1024,plain,
% 2.93/2.12 (multiply(inverse(sk_c5), sk_c5) = multiply(multiply(sk_c9, sk_c2), sk_c5)),
% 2.93/2.12 inference(symmetry,[status(thm)],[994])).
% 2.93/2.12 tff(1025,plain,
% 2.93/2.12 (multiply(sk_c9, sk_c2) = inverse(sk_c4)),
% 2.93/2.12 inference(transitivity,[status(thm)],[821, 689])).
% 2.93/2.12 tff(1026,plain,
% 2.93/2.12 (multiply(multiply(sk_c9, sk_c2), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 2.93/2.12 inference(monotonicity,[status(thm)],[1025])).
% 2.93/2.12 tff(1027,plain,
% 2.93/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c2), sk_c4) = multiply(sk_c9, multiply(sk_c2, sk_c4)))),
% 2.93/2.12 inference(quant_inst,[status(thm)],[])).
% 2.93/2.12 tff(1028,plain,
% 2.93/2.12 (multiply(multiply(sk_c9, sk_c2), sk_c4) = multiply(sk_c9, multiply(sk_c2, sk_c4))),
% 2.93/2.12 inference(unit_resolution,[status(thm)],[1027, 7])).
% 2.93/2.12 tff(1029,plain,
% 2.93/2.12 (multiply(sk_c9, multiply(sk_c2, sk_c4)) = multiply(multiply(sk_c9, sk_c2), sk_c4)),
% 2.93/2.12 inference(symmetry,[status(thm)],[1028])).
% 2.93/2.12 tff(1030,plain,
% 2.93/2.12 (multiply(sk_c9, multiply(sk_c2, sk_c4)) = multiply(sk_c9, multiply(sk_c2, sk_c5))),
% 2.93/2.12 inference(transitivity,[status(thm)],[1029, 1026, 147, 95, 1024, 996])).
% 2.93/2.12 tff(1031,plain,
% 2.93/2.12 (multiply(sk_c7, multiply(sk_c9, multiply(sk_c2, sk_c4))) = multiply(sk_c7, multiply(sk_c9, multiply(sk_c2, sk_c5)))),
% 2.93/2.12 inference(monotonicity,[status(thm)],[1030])).
% 2.93/2.12 tff(1032,plain,
% 2.93/2.12 (multiply(sk_c7, multiply(sk_c9, multiply(sk_c2, sk_c5))) = multiply(sk_c7, multiply(sk_c9, multiply(sk_c2, sk_c4)))),
% 2.93/2.12 inference(symmetry,[status(thm)],[1031])).
% 2.93/2.12 tff(1033,plain,
% 2.93/2.12 (sk_c5 = sk_c4),
% 2.93/2.12 inference(transitivity,[status(thm)],[742, 1009, 1004, 1002, 1001, 1032, 1023, 1020, 1018, 1015, 759])).
% 2.93/2.12 tff(1034,plain,
% 2.93/2.12 (multiply(sk_c5, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.93/2.12 inference(monotonicity,[status(thm)],[1033])).
% 2.93/2.12 tff(1035,plain,
% 2.93/2.12 (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.12 inference(symmetry,[status(thm)],[981])).
% 2.93/2.12 tff(1036,plain,
% 2.93/2.12 (multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)) = multiply(identity, multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)))),
% 2.93/2.12 inference(symmetry,[status(thm)],[965])).
% 2.93/2.12 tff(1037,plain,
% 2.93/2.12 (multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)) = multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))),
% 2.93/2.12 inference(transitivity,[status(thm)],[1036, 969, 972, 974, 1035])).
% 2.93/2.12 tff(1038,plain,
% 2.93/2.12 (multiply(multiply(sk_c8, sk_c2), sk_c5) = multiply(identity, sk_c5)),
% 2.93/2.12 inference(symmetry,[status(thm)],[1009])).
% 2.93/2.12 tff(1039,plain,
% 2.93/2.12 (multiply(sk_c8, multiply(sk_c2, sk_c5)) = multiply(multiply(sk_c8, sk_c2), sk_c5)),
% 2.93/2.12 inference(symmetry,[status(thm)],[1004])).
% 2.93/2.12 tff(1040,plain,
% 2.93/2.12 (multiply(sk_c8, multiply(sk_c2, sk_c5)) = sk_c5),
% 2.93/2.12 inference(transitivity,[status(thm)],[1039, 1038, 741])).
% 2.93/2.12 tff(1041,plain,
% 2.93/2.12 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c5)), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.93/2.12 inference(monotonicity,[status(thm)],[1040, 1037])).
% 2.93/2.12 tff(1042,plain,
% 2.93/2.12 (multiply(multiply(sk_c7, sk_c9), multiply(sk_c2, sk_c5)) = multiply(sk_c8, multiply(sk_c2, sk_c5))),
% 2.93/2.12 inference(symmetry,[status(thm)],[1002])).
% 2.93/2.12 tff(1043,plain,
% 2.93/2.12 (multiply(sk_c7, multiply(sk_c9, multiply(sk_c2, sk_c5))) = multiply(multiply(sk_c7, sk_c9), multiply(sk_c2, sk_c5))),
% 2.93/2.12 inference(symmetry,[status(thm)],[1001])).
% 2.93/2.12 tff(1044,plain,
% 2.93/2.12 (sk_c4 = multiply(sk_c8, multiply(sk_c2, sk_c5))),
% 2.93/2.12 inference(transitivity,[status(thm)],[760, 1014, 1017, 1019, 1022, 1031, 1043, 1042])).
% 2.93/2.12 tff(1045,plain,
% 2.93/2.12 (multiply(sk_c4, multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c5)), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)))),
% 2.93/2.12 inference(monotonicity,[status(thm)],[1044, 962])).
% 2.93/2.12 tff(1046,plain,
% 2.93/2.12 (multiply(multiply(sk_c4, sk_c8), sk_c5) = multiply(sk_c7, sk_c5)),
% 2.93/2.12 inference(symmetry,[status(thm)],[977])).
% 2.93/2.12 tff(1047,plain,
% 2.93/2.12 (multiply(sk_c8, sk_c5) = multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.93/2.12 inference(transitivity,[status(thm)],[568, 796, 793, 791, 992, 990])).
% 2.93/2.12 tff(1048,plain,
% 2.93/2.12 (multiply(sk_c4, multiply(sk_c8, sk_c5)) = multiply(sk_c4, multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))))),
% 2.93/2.12 inference(monotonicity,[status(thm)],[1047])).
% 2.93/2.12 tff(1049,plain,
% 2.93/2.12 (multiply(sk_c4, multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))) = multiply(sk_c4, multiply(sk_c8, sk_c5))),
% 2.93/2.12 inference(symmetry,[status(thm)],[1048])).
% 2.93/2.12 tff(1050,plain,
% 2.93/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(sk_c4, multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))))),
% 2.93/2.12 inference(quant_inst,[status(thm)],[])).
% 2.93/2.12 tff(1051,plain,
% 2.93/2.12 (multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(sk_c4, multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))))),
% 2.93/2.12 inference(unit_resolution,[status(thm)],[1050, 7])).
% 2.93/2.12 tff(1052,plain,
% 2.93/2.12 (multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(sk_c7, sk_c5)),
% 2.93/2.12 inference(transitivity,[status(thm)],[1051, 1049, 563, 1046])).
% 2.93/2.12 tff(1053,plain,
% 2.93/2.12 (multiply(sk_c3, multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))) = multiply(sk_c3, multiply(sk_c7, sk_c5))),
% 2.93/2.12 inference(monotonicity,[status(thm)],[1052])).
% 2.93/2.12 tff(1054,plain,
% 2.93/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(sk_c3, multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))))),
% 2.96/2.12 inference(quant_inst,[status(thm)],[])).
% 2.96/2.12 tff(1055,plain,
% 2.96/2.12 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(sk_c3, multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))))),
% 2.96/2.12 inference(unit_resolution,[status(thm)],[1054, 7])).
% 2.96/2.12 tff(1056,plain,
% 2.96/2.12 (multiply(multiply(sk_c3, multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1037])).
% 2.96/2.12 tff(1057,plain,
% 2.96/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c4), sk_c4) = multiply(sk_c3, multiply(sk_c4, sk_c4)))),
% 2.96/2.12 inference(quant_inst,[status(thm)],[])).
% 2.96/2.12 tff(1058,plain,
% 2.96/2.12 (multiply(multiply(sk_c3, sk_c4), sk_c4) = multiply(sk_c3, multiply(sk_c4, sk_c4))),
% 2.96/2.12 inference(unit_resolution,[status(thm)],[1057, 7])).
% 2.96/2.12 tff(1059,plain,
% 2.96/2.12 (multiply(multiply(multiply(sk_c3, sk_c4), sk_c4), multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c3, multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)))),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1058, 962])).
% 2.96/2.12 tff(1060,plain,
% 2.96/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c4), sk_c4), multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c4, multiply(sk_c8, sk_c9))))),
% 2.96/2.12 inference(quant_inst,[status(thm)],[])).
% 2.96/2.12 tff(1061,plain,
% 2.96/2.12 (multiply(multiply(multiply(sk_c3, sk_c4), sk_c4), multiply(sk_c8, sk_c9)) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c4, multiply(sk_c8, sk_c9)))),
% 2.96/2.12 inference(unit_resolution,[status(thm)],[1060, 7])).
% 2.96/2.12 tff(1062,plain,
% 2.96/2.12 (multiply(multiply(sk_c3, sk_c4), multiply(sk_c4, multiply(sk_c8, sk_c9))) = multiply(multiply(multiply(sk_c3, sk_c4), sk_c4), multiply(sk_c8, sk_c9))),
% 2.96/2.12 inference(symmetry,[status(thm)],[1061])).
% 2.96/2.12 tff(1063,plain,
% 2.96/2.12 (sk_c8 = multiply(sk_c4, multiply(sk_c8, sk_c9))),
% 2.96/2.12 inference(transitivity,[status(thm)],[426, 945, 716])).
% 2.96/2.12 tff(1064,plain,
% 2.96/2.12 (multiply(multiply(sk_c3, sk_c4), sk_c8) = multiply(multiply(sk_c3, sk_c4), multiply(sk_c4, multiply(sk_c8, sk_c9)))),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1063])).
% 2.96/2.12 tff(1065,plain,
% 2.96/2.12 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 2.96/2.12 inference(monotonicity,[status(thm)],[891])).
% 2.96/2.12 tff(1066,plain,
% 2.96/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c3), sk_c4), sk_c8) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c4, sk_c8)))),
% 2.96/2.12 inference(quant_inst,[status(thm)],[])).
% 2.96/2.12 tff(1067,plain,
% 2.96/2.12 (multiply(multiply(multiply(sk_c7, sk_c3), sk_c4), sk_c8) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c4, sk_c8))),
% 2.96/2.12 inference(unit_resolution,[status(thm)],[1066, 7])).
% 2.96/2.12 tff(1068,plain,
% 2.96/2.12 (multiply(multiply(multiply(sk_c7, sk_c3), sk_c4), sk_c8) = sk_c8),
% 2.96/2.12 inference(transitivity,[status(thm)],[1067, 1065, 44, 356, 425])).
% 2.96/2.12 tff(1069,plain,
% 2.96/2.12 (multiply(multiply(sk_c3, sk_c4), multiply(multiply(multiply(sk_c7, sk_c3), sk_c4), sk_c8)) = multiply(multiply(sk_c3, sk_c4), sk_c8)),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1068])).
% 2.96/2.12 tff(1070,plain,
% 2.96/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), sk_c8) = multiply(multiply(sk_c3, sk_c4), multiply(multiply(multiply(sk_c7, sk_c3), sk_c4), sk_c8)))),
% 2.96/2.12 inference(quant_inst,[status(thm)],[])).
% 2.96/2.12 tff(1071,plain,
% 2.96/2.12 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), sk_c8) = multiply(multiply(sk_c3, sk_c4), multiply(multiply(multiply(sk_c7, sk_c3), sk_c4), sk_c8))),
% 2.96/2.12 inference(unit_resolution,[status(thm)],[1070, 7])).
% 2.96/2.12 tff(1072,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c7) = sk_c8),
% 2.96/2.12 inference(transitivity,[status(thm)],[899, 185, 902, 86])).
% 2.96/2.12 tff(1073,plain,
% 2.96/2.12 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), sk_c8)),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1072])).
% 2.96/2.12 tff(1074,plain,
% 2.96/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), sk_c8), sk_c7) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), multiply(sk_c8, sk_c7)))),
% 2.96/2.12 inference(quant_inst,[status(thm)],[])).
% 2.96/2.12 tff(1075,plain,
% 2.96/2.12 (multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), sk_c8), sk_c7) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), multiply(sk_c8, sk_c7))),
% 2.96/2.12 inference(unit_resolution,[status(thm)],[1074, 7])).
% 2.96/2.12 tff(1076,plain,
% 2.96/2.12 (multiply(multiply(sk_c3, sk_c4), multiply(multiply(multiply(sk_c7, sk_c3), sk_c4), sk_c8)) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), sk_c8)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1071])).
% 2.96/2.12 tff(1077,plain,
% 2.96/2.12 (multiply(multiply(sk_c3, sk_c4), sk_c8) = multiply(multiply(sk_c3, sk_c4), multiply(multiply(multiply(sk_c7, sk_c3), sk_c4), sk_c8))),
% 2.96/2.12 inference(symmetry,[status(thm)],[1069])).
% 2.96/2.12 tff(1078,plain,
% 2.96/2.12 (sk_c9 = multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), sk_c8)),
% 2.96/2.12 inference(transitivity,[status(thm)],[780, 960, 959, 1077, 1076])).
% 2.96/2.12 tff(1079,plain,
% 2.96/2.12 (multiply(sk_c9, multiply(sk_c4, sk_c8)) = multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), sk_c8), sk_c7)),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1078, 891])).
% 2.96/2.12 tff(1080,plain,
% 2.96/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c4), sk_c8) = multiply(sk_c9, multiply(sk_c4, sk_c8)))),
% 2.96/2.12 inference(quant_inst,[status(thm)],[])).
% 2.96/2.12 tff(1081,plain,
% 2.96/2.12 (multiply(multiply(sk_c9, sk_c4), sk_c8) = multiply(sk_c9, multiply(sk_c4, sk_c8))),
% 2.96/2.12 inference(unit_resolution,[status(thm)],[1080, 7])).
% 2.96/2.12 tff(1082,plain,
% 2.96/2.12 (multiply(sk_c9, sk_c4) = multiply(multiply(sk_c3, sk_c7), sk_c4)),
% 2.96/2.12 inference(monotonicity,[status(thm)],[780])).
% 2.96/2.12 tff(1083,plain,
% 2.96/2.12 (multiply(multiply(sk_c3, sk_c7), sk_c4) = multiply(sk_c9, sk_c4)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1082])).
% 2.96/2.12 tff(1084,plain,
% 2.96/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c4) = multiply(sk_c3, multiply(sk_c7, sk_c4)))),
% 2.96/2.12 inference(quant_inst,[status(thm)],[])).
% 2.96/2.12 tff(1085,plain,
% 2.96/2.12 (multiply(multiply(sk_c3, sk_c7), sk_c4) = multiply(sk_c3, multiply(sk_c7, sk_c4))),
% 2.96/2.12 inference(unit_resolution,[status(thm)],[1084, 7])).
% 2.96/2.12 tff(1086,plain,
% 2.96/2.12 (multiply(sk_c3, multiply(sk_c7, sk_c4)) = multiply(multiply(sk_c3, sk_c7), sk_c4)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1085])).
% 2.96/2.12 tff(1087,plain,
% 2.96/2.12 (multiply(sk_c7, sk_c4) = multiply(sk_c7, sk_c5)),
% 2.96/2.12 inference(transitivity,[status(thm)],[951, 694, 692, 563, 1046])).
% 2.96/2.12 tff(1088,plain,
% 2.96/2.12 (multiply(sk_c3, multiply(sk_c7, sk_c4)) = multiply(sk_c3, multiply(sk_c7, sk_c5))),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1087])).
% 2.96/2.12 tff(1089,plain,
% 2.96/2.12 (multiply(sk_c3, multiply(sk_c7, sk_c5)) = multiply(sk_c3, multiply(sk_c7, sk_c4))),
% 2.96/2.12 inference(symmetry,[status(thm)],[1088])).
% 2.96/2.12 tff(1090,plain,
% 2.96/2.12 (multiply(sk_c3, multiply(sk_c7, sk_c2)) = multiply(sk_c3, multiply(sk_c7, sk_c5))),
% 2.96/2.12 inference(symmetry,[status(thm)],[979])).
% 2.96/2.12 tff(1091,plain,
% 2.96/2.12 (sk_c8 = multiply(sk_c9, sk_c4)),
% 2.96/2.12 inference(transitivity,[status(thm)],[822, 918, 916, 1090, 1089, 1086, 1083])).
% 2.96/2.12 tff(1092,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c9, sk_c4), sk_c8)),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1091])).
% 2.96/2.12 tff(1093,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c9) = multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8))),
% 2.96/2.12 inference(transitivity,[status(thm)],[962, 1036, 969, 972, 974, 1092, 1081, 1079, 1075, 1073, 1071, 1069, 1064, 1062, 1059, 1056, 1055, 1053, 979, 976, 917, 821, 426, 945, 716, 1045, 1041, 1034, 1013, 991, 801, 800, 795, 88, 253, 944, 914, 912, 909, 9])).
% 2.96/2.12 tff(1094,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c9) = sk_c5),
% 2.96/2.12 inference(modus_ponens,[status(thm)],[1093, 1012])).
% 2.96/2.12 tff(1095,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c7) = inverse(sk_c5)),
% 2.96/2.12 inference(transitivity,[status(thm)],[899, 185, 902, 86, 532])).
% 2.96/2.12 tff(1096,plain,
% 2.96/2.12 ((multiply(sk_c8, sk_c7) = sk_c9) <=> (inverse(sk_c5) = sk_c9)),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1095])).
% 2.96/2.12 tff(1097,plain,
% 2.96/2.12 ((inverse(sk_c5) = sk_c9) <=> (multiply(sk_c8, sk_c7) = sk_c9)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1096])).
% 2.96/2.12 tff(1098,plain,
% 2.96/2.12 ((sk_c8 = multiply(sk_c9, multiply(sk_c5, sk_c9))) <=> (multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)),
% 2.96/2.12 inference(commutativity,[status(thm)],[])).
% 2.96/2.12 tff(1099,plain,
% 2.96/2.12 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c9, sk_c5), sk_c9) = multiply(sk_c9, multiply(sk_c5, sk_c9)))),
% 2.96/2.12 inference(quant_inst,[status(thm)],[])).
% 2.96/2.12 tff(1100,plain,
% 2.96/2.12 (multiply(multiply(sk_c9, sk_c5), sk_c9) = multiply(sk_c9, multiply(sk_c5, sk_c9))),
% 2.96/2.12 inference(unit_resolution,[status(thm)],[1099, 7])).
% 2.96/2.12 tff(1101,plain,
% 2.96/2.12 (multiply(sk_c9, sk_c5) = sk_c8),
% 2.96/2.12 inference(transitivity,[status(thm)],[781, 779, 979, 976, 917, 821])).
% 2.96/2.12 tff(1102,plain,
% 2.96/2.12 (multiply(multiply(sk_c9, sk_c5), sk_c9) = multiply(sk_c8, sk_c9)),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1101])).
% 2.96/2.12 tff(1103,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c9) = multiply(multiply(sk_c9, sk_c5), sk_c9)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1102])).
% 2.96/2.12 tff(1104,plain,
% 2.96/2.12 (multiply(multiply(sk_c9, sk_c4), sk_c8) = multiply(sk_c8, sk_c8)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1092])).
% 2.96/2.12 tff(1105,plain,
% 2.96/2.12 (multiply(sk_c9, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c9, sk_c4), sk_c8)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1081])).
% 2.96/2.12 tff(1106,plain,
% 2.96/2.12 (multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), sk_c8), sk_c7) = multiply(sk_c9, multiply(sk_c4, sk_c8))),
% 2.96/2.12 inference(symmetry,[status(thm)],[1079])).
% 2.96/2.12 tff(1107,plain,
% 2.96/2.12 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), multiply(sk_c8, sk_c7)) = multiply(multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), sk_c8), sk_c7)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1075])).
% 2.96/2.12 tff(1108,plain,
% 2.96/2.12 (multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), sk_c8) = multiply(multiply(multiply(sk_c3, sk_c4), multiply(multiply(sk_c7, sk_c3), sk_c4)), multiply(sk_c8, sk_c7))),
% 2.96/2.12 inference(symmetry,[status(thm)],[1073])).
% 2.96/2.12 tff(1109,plain,
% 2.96/2.12 (sk_c9 = multiply(sk_c9, multiply(sk_c5, sk_c9))),
% 2.96/2.12 inference(transitivity,[status(thm)],[780, 960, 959, 1077, 1076, 1108, 1107, 1106, 1105, 1104, 975, 973, 970, 965, 963, 1103, 1100])).
% 2.96/2.12 tff(1110,plain,
% 2.96/2.12 ((inverse(sk_c5) = sk_c9) <=> (sk_c8 = multiply(sk_c9, multiply(sk_c5, sk_c9)))),
% 2.96/2.12 inference(monotonicity,[status(thm)],[531, 1109])).
% 2.96/2.12 tff(1111,plain,
% 2.96/2.12 ((inverse(sk_c5) = sk_c9) <=> (multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)),
% 2.96/2.12 inference(transitivity,[status(thm)],[1110, 1098])).
% 2.96/2.12 tff(1112,plain,
% 2.96/2.12 ((multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8) <=> (inverse(sk_c5) = sk_c9)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1111])).
% 2.96/2.12 tff(1113,plain,
% 2.96/2.12 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c5)), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))) = multiply(sk_c4, multiply(sk_c8, sk_c9))),
% 2.96/2.12 inference(symmetry,[status(thm)],[1045])).
% 2.96/2.12 tff(1114,plain,
% 2.96/2.12 (multiply(sk_c5, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c5)), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)))),
% 2.96/2.12 inference(symmetry,[status(thm)],[1041])).
% 2.96/2.12 tff(1115,plain,
% 2.96/2.12 (multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.96/2.12 inference(symmetry,[status(thm)],[1034])).
% 2.96/2.12 tff(1116,plain,
% 2.96/2.12 (multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), multiply(identity, sk_c8)) = multiply(multiply(multiply(multiply(sk_c4, sk_c3), sk_c4), identity), sk_c8)),
% 2.96/2.12 inference(symmetry,[status(thm)],[914])).
% 2.96/2.12 tff(1117,plain,
% 2.96/2.12 (multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8)) = multiply(multiply(sk_c4, multiply(sk_c3, sk_c4)), sk_c8)),
% 2.96/2.12 inference(symmetry,[status(thm)],[9])).
% 2.96/2.12 tff(1118,plain,
% 2.96/2.12 (multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8)) = sk_c8),
% 2.96/2.12 inference(transitivity,[status(thm)],[1117, 908, 911, 1116, 943, 47, 95, 796, 793, 791, 992, 990, 1115, 1114, 1113, 737, 946, 425])).
% 2.96/2.12 tff(1119,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c9) = multiply(sk_c9, multiply(sk_c5, sk_c9))),
% 2.96/2.12 inference(transitivity,[status(thm)],[1103, 1100])).
% 2.96/2.12 tff(1120,plain,
% 2.96/2.12 ((multiply(sk_c8, sk_c9) = multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8))) <=> (multiply(sk_c9, multiply(sk_c5, sk_c9)) = sk_c8)),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1119, 1118])).
% 2.96/2.12 tff(1121,plain,
% 2.96/2.12 ((multiply(sk_c8, sk_c9) = multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8))) <=> (multiply(sk_c8, sk_c7) = sk_c9)),
% 2.96/2.12 inference(transitivity,[status(thm)],[1120, 1112, 1097])).
% 2.96/2.12 tff(1122,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c7) = sk_c9),
% 2.96/2.12 inference(modus_ponens,[status(thm)],[1093, 1121])).
% 2.96/2.12 tff(1123,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c8) = multiply(sk_c8, sk_c9)),
% 2.96/2.12 inference(transitivity,[status(thm)],[975, 973, 970, 965, 963])).
% 2.96/2.12 tff(1124,plain,
% 2.96/2.12 ((multiply(sk_c8, sk_c8) = sk_c9) <=> (multiply(sk_c8, sk_c9) = sk_c9)),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1123])).
% 2.96/2.12 tff(1125,plain,
% 2.96/2.12 ((multiply(sk_c8, sk_c9) = sk_c9) <=> (multiply(sk_c8, sk_c8) = sk_c9)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1124])).
% 2.96/2.12 tff(1126,plain,
% 2.96/2.12 (multiply(sk_c3, multiply(sk_c4, sk_c8)) = multiply(sk_c3, sk_c7)),
% 2.96/2.12 inference(symmetry,[status(thm)],[960])).
% 2.96/2.12 tff(1127,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c9) = sk_c9),
% 2.96/2.12 inference(transitivity,[status(thm)],[962, 1036, 969, 972, 974, 1092, 1081, 1079, 1075, 1073, 1071, 1069, 958, 1126, 355])).
% 2.96/2.12 tff(1128,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c8) = sk_c9),
% 2.96/2.12 inference(modus_ponens,[status(thm)],[1127, 1125])).
% 2.96/2.12 tff(1129,plain,
% 2.96/2.12 (multiply(sk_c4, sk_c9) = multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8))),
% 2.96/2.12 inference(monotonicity,[status(thm)],[961])).
% 2.96/2.12 tff(1130,plain,
% 2.96/2.12 (multiply(sk_c4, multiply(multiply(sk_c3, sk_c4), sk_c8)) = multiply(sk_c4, sk_c9)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1129])).
% 2.96/2.12 tff(1131,plain,
% 2.96/2.12 (multiply(sk_c8, sk_c9) = multiply(sk_c4, sk_c9)),
% 2.96/2.12 inference(transitivity,[status(thm)],[962, 1036, 969, 972, 974, 1092, 1081, 1079, 1075, 1073, 1071, 1069, 1064, 1062, 1059, 1056, 1055, 1053, 979, 976, 917, 821, 426, 945, 716, 1045, 1041, 1034, 1013, 991, 801, 800, 795, 88, 253, 944, 914, 912, 909, 9, 1130])).
% 2.96/2.12 tff(1132,plain,
% 2.96/2.12 ((multiply(sk_c8, sk_c9) = sk_c7) <=> (multiply(sk_c4, sk_c9) = sk_c7)),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1131])).
% 2.96/2.12 tff(1133,plain,
% 2.96/2.12 ((multiply(sk_c4, sk_c9) = sk_c7) <=> (multiply(sk_c8, sk_c9) = sk_c7)),
% 2.96/2.12 inference(symmetry,[status(thm)],[1132])).
% 2.96/2.12 tff(1134,plain,
% 2.96/2.12 (multiply(sk_c4, multiply(sk_c4, multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))) = multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.96/2.12 inference(symmetry,[status(thm)],[1051])).
% 2.96/2.12 tff(1135,plain,
% 2.96/2.12 (multiply(sk_c7, sk_c2) = multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.96/2.12 inference(transitivity,[status(thm)],[924, 927, 934, 1048, 1134])).
% 2.96/2.12 tff(1136,plain,
% 2.96/2.12 (multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c2)) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))))),
% 2.96/2.12 inference(monotonicity,[status(thm)],[1135])).
% 2.96/2.12 tff(1137,plain,
% 2.96/2.12 (multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))) = multiply(multiply(sk_c4, sk_c3), multiply(sk_c7, sk_c2))),
% 2.96/2.13 inference(symmetry,[status(thm)],[1136])).
% 2.96/2.13 tff(1138,plain,
% 2.96/2.13 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))))),
% 2.96/2.13 inference(quant_inst,[status(thm)],[])).
% 2.96/2.13 tff(1139,plain,
% 2.96/2.13 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))))),
% 2.96/2.13 inference(unit_resolution,[status(thm)],[1138, 7])).
% 2.96/2.13 tff(1140,plain,
% 2.96/2.13 (multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))) = multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))),
% 2.96/2.13 inference(transitivity,[status(thm)],[981, 975, 973, 970, 965])).
% 2.96/2.13 tff(1141,plain,
% 2.96/2.13 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5)))) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)))),
% 2.96/2.13 inference(monotonicity,[status(thm)],[1140])).
% 2.96/2.13 tff(1142,plain,
% 2.96/2.13 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(sk_c3, multiply(sk_c7, sk_c5))))),
% 2.96/2.13 inference(symmetry,[status(thm)],[1141])).
% 2.96/2.13 tff(1143,plain,
% 2.96/2.13 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)))))),
% 2.96/2.13 inference(quant_inst,[status(thm)],[])).
% 2.96/2.13 tff(1144,plain,
% 2.96/2.13 (multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))))),
% 2.96/2.13 inference(unit_resolution,[status(thm)],[1143, 7])).
% 2.96/2.13 tff(1145,plain,
% 2.96/2.13 (multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)))) = multiply(multiply(multiply(sk_c4, sk_c3), multiply(sk_c4, sk_c4)), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)))),
% 2.96/2.13 inference(symmetry,[status(thm)],[1144])).
% 2.96/2.13 tff(1146,plain,
% 2.96/2.13 (multiply(sk_c4, multiply(sk_c4, multiply(sk_c8, sk_c9))) = multiply(sk_c4, sk_c8)),
% 2.96/2.13 inference(monotonicity,[status(thm)],[947])).
% 2.96/2.13 tff(1147,plain,
% 2.96/2.13 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, sk_c9)) = multiply(sk_c4, multiply(sk_c4, multiply(sk_c8, sk_c9))))),
% 2.96/2.13 inference(quant_inst,[status(thm)],[])).
% 2.96/2.13 tff(1148,plain,
% 2.96/2.13 (multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, sk_c9)) = multiply(sk_c4, multiply(sk_c4, multiply(sk_c8, sk_c9)))),
% 2.96/2.13 inference(unit_resolution,[status(thm)],[1147, 7])).
% 2.96/2.13 tff(1149,plain,
% 2.96/2.13 (multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))) = multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, sk_c9))),
% 2.96/2.13 inference(monotonicity,[status(thm)],[963])).
% 2.96/2.13 tff(1150,plain,
% 2.96/2.13 (multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))) = sk_c7),
% 2.96/2.13 inference(transitivity,[status(thm)],[1149, 1148, 1146, 891])).
% 2.96/2.13 tff(1151,plain,
% 2.96/2.13 (multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8)))) = multiply(multiply(sk_c4, sk_c3), sk_c7)),
% 2.96/2.13 inference(monotonicity,[status(thm)],[1150])).
% 2.96/2.13 tff(1152,plain,
% 2.96/2.13 (multiply(multiply(sk_c4, sk_c3), sk_c7) = multiply(multiply(sk_c4, sk_c3), multiply(multiply(sk_c4, sk_c4), multiply(sk_c8, multiply(multiply(sk_c3, sk_c4), sk_c8))))),
% 2.96/2.13 inference(symmetry,[status(thm)],[1151])).
% 2.96/2.13 tff(1153,plain,
% 2.96/2.13 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, sk_c3), sk_c7) = multiply(sk_c4, multiply(sk_c3, sk_c7)))),
% 2.96/2.13 inference(quant_inst,[status(thm)],[])).
% 2.96/2.13 tff(1154,plain,
% 2.96/2.13 (multiply(multiply(sk_c4, sk_c3), sk_c7) = multiply(sk_c4, multiply(sk_c3, sk_c7))),
% 2.96/2.13 inference(unit_resolution,[status(thm)],[1153, 7])).
% 2.96/2.13 tff(1155,plain,
% 2.96/2.13 (multiply(sk_c4, multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c4, sk_c3), sk_c7)),
% 2.96/2.13 inference(symmetry,[status(thm)],[1154])).
% 2.96/2.13 tff(1156,plain,
% 2.96/2.13 (multiply(sk_c4, multiply(sk_c3, sk_c7)) = multiply(sk_c4, sk_c9)),
% 2.96/2.13 inference(monotonicity,[status(thm)],[355])).
% 2.96/2.13 tff(1157,plain,
% 2.96/2.13 (multiply(sk_c4, sk_c9) = multiply(sk_c4, multiply(sk_c3, sk_c7))),
% 2.96/2.13 inference(symmetry,[status(thm)],[1156])).
% 2.96/2.13 tff(1158,plain,
% 2.96/2.13 (multiply(sk_c4, sk_c9) = sk_c7),
% 2.96/2.13 inference(transitivity,[status(thm)],[1157, 1155, 1152, 1145, 1142, 1139, 1137, 923, 921, 891])).
% 2.96/2.13 tff(1159,plain,
% 2.96/2.13 (multiply(sk_c8, sk_c9) = sk_c7),
% 2.96/2.13 inference(modus_ponens,[status(thm)],[1158, 1133])).
% 2.96/2.13 tff(1160,plain,
% 2.96/2.13 ((sk_c7 = multiply(sk_c8, sk_c9)) <=> (multiply(sk_c8, sk_c9) = sk_c7)),
% 2.96/2.13 inference(commutativity,[status(thm)],[])).
% 2.96/2.13 tff(1161,plain,
% 2.96/2.13 (sk_c9 = multiply(sk_c8, sk_c9)),
% 2.96/2.13 inference(transitivity,[status(thm)],[780, 960, 959, 1077, 1076, 1108, 1107, 1106, 1105, 1104, 975, 973, 970, 965, 963])).
% 2.96/2.13 tff(1162,plain,
% 2.96/2.13 ((inverse(sk_c8) = sk_c9) <=> (sk_c7 = multiply(sk_c8, sk_c9))),
% 2.96/2.13 inference(monotonicity,[status(thm)],[672, 1161])).
% 2.96/2.13 tff(1163,plain,
% 2.96/2.13 ((inverse(sk_c8) = sk_c9) <=> (multiply(sk_c8, sk_c9) = sk_c7)),
% 2.96/2.13 inference(transitivity,[status(thm)],[1162, 1160])).
% 2.96/2.13 tff(1164,plain,
% 2.96/2.13 ((multiply(sk_c8, sk_c9) = sk_c7) <=> (inverse(sk_c8) = sk_c9)),
% 2.96/2.13 inference(symmetry,[status(thm)],[1163])).
% 2.96/2.13 tff(1165,plain,
% 2.96/2.13 ((multiply(sk_c4, sk_c9) = sk_c7) <=> (inverse(sk_c8) = sk_c9)),
% 2.96/2.13 inference(transitivity,[status(thm)],[1133, 1164])).
% 2.96/2.13 tff(1166,plain,
% 2.96/2.13 (inverse(sk_c8) = sk_c9),
% 2.96/2.13 inference(modus_ponens,[status(thm)],[1158, 1165])).
% 2.96/2.13 tff(1167,plain,
% 2.96/2.13 (multiply(sk_c8, multiply(sk_c2, sk_c5)) = sk_c4),
% 2.96/2.13 inference(transitivity,[status(thm)],[1002, 1001, 1032, 1023, 1020, 1018, 1015, 759])).
% 2.96/2.13 tff(1168,plain,
% 2.96/2.13 (multiply(multiply(sk_c8, multiply(sk_c2, sk_c5)), sk_c8) = multiply(sk_c4, sk_c8)),
% 2.96/2.13 inference(monotonicity,[status(thm)],[1167])).
% 2.96/2.13 tff(1169,plain,
% 2.96/2.13 (sk_c5 = multiply(sk_c8, multiply(sk_c2, sk_c5))),
% 2.96/2.13 inference(transitivity,[status(thm)],[742, 1009, 1004])).
% 2.96/2.13 tff(1170,plain,
% 2.96/2.13 (multiply(sk_c5, sk_c8) = multiply(multiply(sk_c8, multiply(sk_c2, sk_c5)), sk_c8)),
% 2.96/2.13 inference(monotonicity,[status(thm)],[1169])).
% 2.96/2.13 tff(1171,plain,
% 2.96/2.13 (multiply(sk_c5, sk_c8) = sk_c7),
% 2.96/2.13 inference(transitivity,[status(thm)],[1170, 1168, 891])).
% 2.96/2.13 tff(1172,plain,
% 2.96/2.13 ((inverse(sk_c8) = sk_c8) <=> (sk_c7 = inverse(sk_c5))),
% 2.96/2.13 inference(monotonicity,[status(thm)],[672, 532])).
% 2.96/2.13 tff(1173,plain,
% 2.96/2.13 ((inverse(sk_c8) = sk_c8) <=> (inverse(sk_c5) = sk_c7)),
% 2.96/2.13 inference(transitivity,[status(thm)],[1172, 10])).
% 2.96/2.13 tff(1174,plain,
% 2.96/2.13 ((inverse(sk_c5) = sk_c7) <=> (inverse(sk_c8) = sk_c8)),
% 2.96/2.13 inference(symmetry,[status(thm)],[1173])).
% 2.96/2.13 tff(1175,plain,
% 2.96/2.13 (inverse(sk_c5) = multiply(sk_c4, sk_c9)),
% 2.96/2.13 inference(transitivity,[status(thm)],[531, 426, 945, 716, 1045, 1041, 1034, 1013, 991, 801, 800, 795, 88, 253, 944, 914, 912, 909, 9, 1130])).
% 2.96/2.13 tff(1176,plain,
% 2.96/2.13 ((inverse(sk_c5) = sk_c7) <=> (multiply(sk_c4, sk_c9) = sk_c7)),
% 2.96/2.13 inference(monotonicity,[status(thm)],[1175])).
% 2.96/2.13 tff(1177,plain,
% 2.96/2.13 ((multiply(sk_c4, sk_c9) = sk_c7) <=> (inverse(sk_c5) = sk_c7)),
% 2.96/2.13 inference(symmetry,[status(thm)],[1176])).
% 2.96/2.13 tff(1178,plain,
% 2.96/2.13 ((multiply(sk_c4, sk_c9) = sk_c7) <=> (inverse(sk_c8) = sk_c8)),
% 2.96/2.13 inference(transitivity,[status(thm)],[1177, 1174])).
% 2.96/2.13 tff(1179,plain,
% 2.96/2.13 (inverse(sk_c8) = sk_c8),
% 2.96/2.13 inference(modus_ponens,[status(thm)],[1158, 1178])).
% 2.96/2.13 tff(1180,plain,
% 2.96/2.13 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c7) = sk_c9)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c7) = sk_c9)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8)))),
% 2.96/2.13 inference(rewrite,[status(thm)],[])).
% 2.96/2.13 tff(1181,plain,
% 2.96/2.13 (((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c9)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c7) = sk_c9)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8)))),
% 2.96/2.13 inference(rewrite,[status(thm)],[])).
% 2.96/2.13 tff(1182,plain,
% 2.96/2.13 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c9)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c7) = sk_c9)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8))))),
% 2.96/2.13 inference(monotonicity,[status(thm)],[1181])).
% 2.96/2.13 tff(1183,plain,
% 2.96/2.13 (((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c9)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8)))) <=> ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c7) = sk_c9)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8)))),
% 2.96/2.13 inference(transitivity,[status(thm)],[1182, 1180])).
% 2.96/2.13 tff(1184,plain,
% 2.96/2.13 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c9)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c7) = sk_c9)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8)))),
% 2.96/2.13 inference(quant_inst,[status(thm)],[])).
% 2.96/2.13 tff(1185,plain,
% 2.96/2.13 ((~![X6: $i, X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(X3) = sk_c9)) | (~(multiply(X3, sk_c9) = sk_c7)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = sk_c9)) | (~(inverse(X1) = sk_c8)) | (~(multiply(X1, sk_c8) = sk_c7)) | (~(inverse(X6) = sk_c7)) | (~(multiply(X6, sk_c7) = sk_c9)) | (~(inverse(X5) = sk_c9)) | (~(multiply(X5, sk_c9) = X4)) | (~(multiply(sk_c9, X4) = sk_c8)))) | (~(multiply(sk_c7, sk_c9) = sk_c8)) | (~(inverse(sk_c8) = sk_c7)) | (~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c7) = sk_c9)) | (~(inverse(sk_c5) = sk_c8)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8))),
% 2.96/2.14 inference(modus_ponens,[status(thm)],[1184, 1183])).
% 2.96/2.14 tff(1186,plain,
% 2.96/2.14 ((~(inverse(sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c9) = sk_c7)) | (~(inverse(sk_c8) = sk_c8)) | (~(multiply(sk_c8, sk_c8) = sk_c9)) | (~(multiply(sk_c8, sk_c7) = sk_c9)) | (~(multiply(sk_c5, sk_c8) = sk_c7)) | (~(multiply(sk_c8, sk_c9) = sk_c5)) | (~(multiply(sk_c9, sk_c5) = sk_c8))),
% 2.96/2.14 inference(unit_resolution,[status(thm)],[1185, 425, 672, 531, 347])).
% 2.96/2.14 tff(1187,plain,
% 2.96/2.14 ($false),
% 2.96/2.14 inference(unit_resolution,[status(thm)],[1186, 1179, 1171, 1166, 1159, 1101, 1128, 1122, 1094])).
% 2.96/2.14 % SZS output end Proof
%------------------------------------------------------------------------------