TSTP Solution File: GRP284-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP284-1 : 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 22:27:01 EDT 2022
% Result : Unsatisfiable 31.77s 20.61s
% Output : Proof 32.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP284-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Aug 31 16:16:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 31.77/20.61 % SZS status Unsatisfiable
% 31.77/20.61 % SZS output start Proof
% 31.77/20.61 tff(sk_c6_type, type, (
% 31.77/20.61 sk_c6: $i)).
% 31.77/20.61 tff(inverse_type, type, (
% 31.77/20.61 inverse: $i > $i)).
% 31.77/20.61 tff(sk_c3_type, type, (
% 31.77/20.61 sk_c3: $i)).
% 31.77/20.61 tff(multiply_type, type, (
% 31.77/20.61 multiply: ( $i * $i ) > $i)).
% 31.77/20.61 tff(sk_c7_type, type, (
% 31.77/20.61 sk_c7: $i)).
% 31.77/20.61 tff(sk_c1_type, type, (
% 31.77/20.61 sk_c1: $i)).
% 31.77/20.61 tff(sk_c5_type, type, (
% 31.77/20.61 sk_c5: $i)).
% 31.77/20.61 tff(identity_type, type, (
% 31.77/20.61 identity: $i)).
% 31.77/20.61 tff(sk_c4_type, type, (
% 31.77/20.61 sk_c4: $i)).
% 31.77/20.61 tff(sk_c2_type, type, (
% 31.77/20.61 sk_c2: $i)).
% 31.77/20.61 tff(1,plain,
% 31.77/20.61 ((sk_c6 = multiply(sk_c6, sk_c7)) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 31.77/20.61 inference(commutativity,[status(thm)],[])).
% 31.77/20.61 tff(2,assumption,(~(multiply(sk_c6, sk_c7) = sk_c5)), introduced(assumption)).
% 31.77/20.61 tff(3,plain,
% 31.77/20.61 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 31.77/20.61 inference(rewrite,[status(thm)],[])).
% 31.77/20.61 tff(4,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_1')).
% 31.77/20.61 tff(5,plain,
% 31.77/20.61 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[4, 3])).
% 31.77/20.61 tff(6,plain,
% 31.77/20.61 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[5, 3])).
% 31.77/20.61 tff(7,plain,
% 31.77/20.61 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[6, 3])).
% 31.77/20.61 tff(8,plain,
% 31.77/20.61 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[7, 3])).
% 31.77/20.61 tff(9,plain,
% 31.77/20.61 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[8, 3])).
% 31.77/20.61 tff(10,plain,
% 31.77/20.61 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[9, 3])).
% 31.77/20.61 tff(11,plain,
% 31.77/20.61 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[10, 3])).
% 31.77/20.61 tff(12,plain,
% 31.77/20.61 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[11, 3])).
% 31.77/20.61 tff(13,plain,
% 31.77/20.61 (multiply(sk_c7, sk_c6) = sk_c5),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[12, 2])).
% 31.77/20.61 tff(14,plain,
% 31.77/20.61 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 31.77/20.61 inference(rewrite,[status(thm)],[])).
% 31.77/20.61 tff(15,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_6')).
% 31.77/20.61 tff(16,plain,
% 31.77/20.61 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[15, 14])).
% 31.77/20.61 tff(17,plain,
% 31.77/20.61 (multiply(sk_c1, sk_c7) = sk_c6),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[16, 2])).
% 31.77/20.61 tff(18,plain,
% 31.77/20.61 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 31.77/20.61 inference(monotonicity,[status(thm)],[17])).
% 31.77/20.61 tff(19,plain,
% 31.77/20.61 (^[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))))),
% 31.77/20.61 inference(bind,[status(th)],[])).
% 31.77/20.61 tff(20,plain,
% 31.77/20.61 (![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)))),
% 31.77/20.61 inference(quant_intro,[status(thm)],[19])).
% 31.77/20.61 tff(21,plain,
% 31.77/20.61 (![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)))),
% 31.77/20.61 inference(rewrite,[status(thm)],[])).
% 31.77/20.61 tff(22,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','associativity')).
% 31.77/20.61 tff(23,plain,
% 31.77/20.61 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[22, 21])).
% 31.77/20.61 tff(24,plain,(
% 31.77/20.61 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 31.77/20.61 inference(skolemize,[status(sab)],[23])).
% 31.77/20.61 tff(25,plain,
% 31.77/20.61 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[24, 20])).
% 31.77/20.61 tff(26,plain,
% 31.77/20.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7)))),
% 31.77/20.61 inference(quant_inst,[status(thm)],[])).
% 31.77/20.61 tff(27,plain,
% 31.77/20.61 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[26, 25])).
% 31.77/20.61 tff(28,plain,
% 31.77/20.61 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5))),
% 31.77/20.61 inference(rewrite,[status(thm)],[])).
% 31.77/20.61 tff(29,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_11')).
% 31.77/20.61 tff(30,plain,
% 31.77/20.61 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c6, sk_c7) = sk_c5)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[29, 28])).
% 31.77/20.61 tff(31,plain,
% 31.77/20.61 (inverse(sk_c1) = sk_c7),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[30, 2])).
% 31.77/20.61 tff(32,plain,
% 31.77/20.61 (sk_c7 = inverse(sk_c1)),
% 31.77/20.61 inference(symmetry,[status(thm)],[31])).
% 31.77/20.61 tff(33,plain,
% 31.77/20.61 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 31.77/20.61 inference(monotonicity,[status(thm)],[32])).
% 31.77/20.61 tff(34,plain,
% 31.77/20.61 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 31.77/20.61 inference(symmetry,[status(thm)],[33])).
% 31.77/20.61 tff(35,plain,
% 31.77/20.61 (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 31.77/20.61 inference(bind,[status(th)],[])).
% 31.77/20.61 tff(36,plain,
% 31.77/20.61 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 31.77/20.61 inference(quant_intro,[status(thm)],[35])).
% 31.77/20.61 tff(37,plain,
% 31.77/20.61 (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 31.77/20.61 inference(rewrite,[status(thm)],[])).
% 31.77/20.61 tff(38,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 31.77/20.61 tff(39,plain,
% 31.77/20.61 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[38, 37])).
% 31.77/20.61 tff(40,plain,(
% 31.77/20.61 ![X: $i] : (multiply(inverse(X), X) = identity)),
% 31.77/20.61 inference(skolemize,[status(sab)],[39])).
% 31.77/20.61 tff(41,plain,
% 31.77/20.61 (![X: $i] : (multiply(inverse(X), X) = identity)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[40, 36])).
% 31.77/20.61 tff(42,plain,
% 31.77/20.61 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 31.77/20.61 inference(quant_inst,[status(thm)],[])).
% 31.77/20.61 tff(43,plain,
% 31.77/20.61 (multiply(inverse(sk_c1), sk_c1) = identity),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[42, 41])).
% 31.77/20.61 tff(44,plain,
% 31.77/20.61 (identity = multiply(inverse(sk_c1), sk_c1)),
% 31.77/20.61 inference(symmetry,[status(thm)],[43])).
% 31.77/20.61 tff(45,plain,
% 31.77/20.61 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c6), sk_c6) = identity)),
% 31.77/20.61 inference(quant_inst,[status(thm)],[])).
% 31.77/20.61 tff(46,plain,
% 31.77/20.61 (multiply(inverse(sk_c6), sk_c6) = identity),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[45, 41])).
% 31.77/20.61 tff(47,plain,
% 31.77/20.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), sk_c6), sk_c1) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))),
% 31.77/20.61 inference(quant_inst,[status(thm)],[])).
% 31.77/20.61 tff(48,plain,
% 31.77/20.61 (multiply(multiply(inverse(sk_c6), sk_c6), sk_c1) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[47, 25])).
% 31.77/20.61 tff(49,plain,
% 31.77/20.61 (identity = multiply(inverse(sk_c6), sk_c6)),
% 31.77/20.61 inference(symmetry,[status(thm)],[46])).
% 31.77/20.61 tff(50,plain,
% 31.77/20.61 (multiply(identity, sk_c1) = multiply(multiply(inverse(sk_c6), sk_c6), sk_c1)),
% 31.77/20.61 inference(monotonicity,[status(thm)],[49])).
% 31.77/20.61 tff(51,plain,
% 31.77/20.61 (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 31.77/20.61 inference(bind,[status(th)],[])).
% 31.77/20.61 tff(52,plain,
% 31.77/20.61 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 31.77/20.61 inference(quant_intro,[status(thm)],[51])).
% 31.77/20.61 tff(53,plain,
% 31.77/20.61 (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 31.77/20.61 inference(rewrite,[status(thm)],[])).
% 31.77/20.61 tff(54,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 31.77/20.61 tff(55,plain,
% 31.77/20.61 (![X: $i] : (multiply(identity, X) = X)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[54, 53])).
% 31.77/20.61 tff(56,plain,(
% 31.77/20.61 ![X: $i] : (multiply(identity, X) = X)),
% 31.77/20.61 inference(skolemize,[status(sab)],[55])).
% 31.77/20.61 tff(57,plain,
% 31.77/20.61 (![X: $i] : (multiply(identity, X) = X)),
% 31.77/20.61 inference(modus_ponens,[status(thm)],[56, 52])).
% 31.77/20.61 tff(58,plain,
% 31.77/20.61 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 31.77/20.61 inference(quant_inst,[status(thm)],[])).
% 31.77/20.61 tff(59,plain,
% 31.77/20.61 (multiply(identity, sk_c1) = sk_c1),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[58, 57])).
% 31.77/20.61 tff(60,plain,
% 31.77/20.61 (sk_c1 = multiply(identity, sk_c1)),
% 31.77/20.61 inference(symmetry,[status(thm)],[59])).
% 31.77/20.61 tff(61,plain,
% 31.77/20.61 (sk_c1 = multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))),
% 31.77/20.61 inference(transitivity,[status(thm)],[60, 50, 48])).
% 31.77/20.61 tff(62,plain,
% 31.77/20.61 (multiply(sk_c6, sk_c1) = multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))),
% 31.77/20.61 inference(monotonicity,[status(thm)],[61])).
% 31.77/20.61 tff(63,plain,
% 31.77/20.61 (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c6, sk_c1)),
% 31.77/20.61 inference(monotonicity,[status(thm)],[17])).
% 31.77/20.61 tff(64,plain,
% 31.77/20.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1)))),
% 31.77/20.61 inference(quant_inst,[status(thm)],[])).
% 31.77/20.61 tff(65,plain,
% 31.77/20.61 (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[64, 25])).
% 31.77/20.61 tff(66,plain,
% 31.77/20.61 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 31.77/20.61 inference(symmetry,[status(thm)],[65])).
% 31.77/20.61 tff(67,plain,
% 31.77/20.61 (identity = multiply(sk_c7, sk_c1)),
% 31.77/20.61 inference(transitivity,[status(thm)],[44, 34])).
% 31.77/20.61 tff(68,plain,
% 31.77/20.61 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 31.77/20.61 inference(monotonicity,[status(thm)],[67])).
% 31.77/20.61 tff(69,plain,
% 31.77/20.61 (multiply(multiply(inverse(sk_c6), sk_c6), sk_c1) = multiply(identity, sk_c1)),
% 31.77/20.61 inference(symmetry,[status(thm)],[50])).
% 31.77/20.61 tff(70,plain,
% 31.77/20.61 (multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)) = multiply(multiply(inverse(sk_c6), sk_c6), sk_c1)),
% 31.77/20.61 inference(symmetry,[status(thm)],[48])).
% 31.77/20.61 tff(71,plain,
% 31.77/20.61 (multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)) = sk_c1),
% 31.77/20.61 inference(transitivity,[status(thm)],[70, 69, 59])).
% 31.77/20.61 tff(72,plain,
% 31.77/20.61 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)), identity) = multiply(sk_c1, identity)),
% 31.77/20.61 inference(monotonicity,[status(thm)],[71])).
% 31.77/20.61 tff(73,plain,
% 31.77/20.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)), identity) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), identity)))),
% 31.77/20.61 inference(quant_inst,[status(thm)],[])).
% 31.77/20.61 tff(74,plain,
% 31.77/20.61 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)), identity) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), identity))),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[73, 25])).
% 31.77/20.61 tff(75,plain,
% 31.77/20.61 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), identity)) = multiply(multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)), identity)),
% 31.77/20.61 inference(symmetry,[status(thm)],[74])).
% 31.77/20.61 tff(76,plain,
% 31.77/20.61 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c1, identity)),
% 31.77/20.61 inference(monotonicity,[status(thm)],[46])).
% 31.77/20.61 tff(77,plain,
% 31.77/20.61 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.77/20.61 inference(symmetry,[status(thm)],[76])).
% 31.77/20.61 tff(78,plain,
% 31.77/20.61 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(sk_c1, identity)),
% 31.77/20.61 inference(symmetry,[status(thm)],[68])).
% 31.77/20.61 tff(79,plain,
% 31.77/20.61 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 31.77/20.61 inference(symmetry,[status(thm)],[63])).
% 31.77/20.61 tff(80,plain,
% 31.77/20.61 (multiply(sk_c6, sk_c1) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.77/20.61 inference(transitivity,[status(thm)],[79, 65, 78, 77])).
% 31.77/20.61 tff(81,plain,
% 31.77/20.61 (multiply(multiply(sk_c6, sk_c1), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)),
% 31.77/20.61 inference(monotonicity,[status(thm)],[80])).
% 31.77/20.61 tff(82,plain,
% 31.77/20.61 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity) = multiply(multiply(sk_c6, sk_c1), identity)),
% 31.77/20.61 inference(symmetry,[status(thm)],[81])).
% 31.77/20.61 tff(83,plain,
% 31.77/20.61 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity) = multiply(multiply(sk_c1, identity), identity)),
% 31.77/20.61 inference(monotonicity,[status(thm)],[76])).
% 31.77/20.61 tff(84,plain,
% 31.77/20.61 (multiply(multiply(sk_c1, identity), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)),
% 31.77/20.61 inference(symmetry,[status(thm)],[83])).
% 31.77/20.61 tff(85,plain,
% 31.77/20.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), identity) = multiply(sk_c1, multiply(identity, identity)))),
% 31.77/20.61 inference(quant_inst,[status(thm)],[])).
% 31.77/20.61 tff(86,plain,
% 31.77/20.61 (multiply(multiply(sk_c1, identity), identity) = multiply(sk_c1, multiply(identity, identity))),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[85, 25])).
% 31.77/20.61 tff(87,plain,
% 31.77/20.61 (multiply(sk_c1, multiply(identity, identity)) = multiply(multiply(sk_c1, identity), identity)),
% 31.77/20.61 inference(symmetry,[status(thm)],[86])).
% 31.77/20.61 tff(88,plain,
% 31.77/20.61 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, identity) = identity)),
% 31.77/20.61 inference(quant_inst,[status(thm)],[])).
% 31.77/20.61 tff(89,plain,
% 31.77/20.61 (multiply(identity, identity) = identity),
% 31.77/20.61 inference(unit_resolution,[status(thm)],[88, 57])).
% 31.77/20.61 tff(90,plain,
% 31.77/20.61 (multiply(sk_c1, multiply(identity, identity)) = multiply(sk_c1, identity)),
% 31.77/20.61 inference(monotonicity,[status(thm)],[89])).
% 31.77/20.61 tff(91,plain,
% 31.77/20.61 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(identity, identity))),
% 31.77/20.61 inference(symmetry,[status(thm)],[90])).
% 31.77/20.61 tff(92,plain,
% 31.77/20.61 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c6, sk_c1), identity)),
% 31.77/20.61 inference(transitivity,[status(thm)],[79, 65, 78, 91, 87, 84, 82])).
% 31.77/20.61 tff(93,plain,
% 31.77/20.61 (multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), identity))),
% 31.77/20.61 inference(monotonicity,[status(thm)],[92])).
% 31.77/20.61 tff(94,plain,
% 31.77/20.61 (sk_c1 = multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))),
% 31.77/20.61 inference(transitivity,[status(thm)],[60, 50, 48, 93, 75, 72, 68, 66, 63, 62])).
% 31.77/20.61 tff(95,plain,
% 31.77/20.61 (multiply(sk_c1, sk_c7) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7)),
% 31.77/20.61 inference(monotonicity,[status(thm)],[94])).
% 31.77/20.61 tff(96,plain,
% 31.77/20.61 (sk_c6 = multiply(sk_c1, sk_c7)),
% 31.77/20.61 inference(symmetry,[status(thm)],[17])).
% 31.77/20.61 tff(97,plain,
% 31.77/20.61 (sk_c6 = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7)),
% 31.77/20.61 inference(transitivity,[status(thm)],[96, 95])).
% 31.77/20.61 tff(98,plain,
% 31.77/20.61 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7))),
% 31.77/20.61 inference(monotonicity,[status(thm)],[97])).
% 31.77/20.61 tff(99,plain,
% 31.77/20.61 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7)) = multiply(inverse(sk_c6), sk_c6)),
% 31.77/20.61 inference(symmetry,[status(thm)],[98])).
% 31.77/20.61 tff(100,plain,
% 31.77/20.61 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))), sk_c7) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7)))),
% 31.77/20.61 inference(quant_inst,[status(thm)],[])).
% 31.77/20.61 tff(101,plain,
% 31.77/20.61 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))), sk_c7) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7))),
% 31.77/20.62 inference(unit_resolution,[status(thm)],[100, 25])).
% 31.77/20.62 tff(102,plain,
% 31.77/20.62 (multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))) = multiply(sk_c6, sk_c1)),
% 31.77/20.62 inference(symmetry,[status(thm)],[62])).
% 31.77/20.62 tff(103,plain,
% 31.77/20.62 (multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))) = multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))),
% 31.77/20.62 inference(monotonicity,[status(thm)],[102])).
% 31.77/20.62 tff(104,plain,
% 31.77/20.62 (multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))) = sk_c1),
% 31.77/20.62 inference(transitivity,[status(thm)],[103, 70, 69, 59])).
% 31.77/20.62 tff(105,plain,
% 31.77/20.62 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))), sk_c7) = multiply(sk_c1, sk_c7)),
% 31.77/20.62 inference(monotonicity,[status(thm)],[104])).
% 31.77/20.62 tff(106,plain,
% 31.77/20.62 (multiply(sk_c1, sk_c7) = multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))), sk_c7)),
% 31.77/20.62 inference(symmetry,[status(thm)],[105])).
% 31.77/20.62 tff(107,plain,
% 31.77/20.62 (sk_c6 = multiply(sk_c7, sk_c1)),
% 31.77/20.62 inference(transitivity,[status(thm)],[96, 106, 101, 99, 46, 44, 34])).
% 31.77/20.62 tff(108,plain,
% 31.77/20.62 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 31.77/20.62 inference(monotonicity,[status(thm)],[107])).
% 31.77/20.62 tff(109,plain,
% 31.77/20.62 (multiply(sk_c6, sk_c7) = sk_c5),
% 31.77/20.62 inference(transitivity,[status(thm)],[108, 27, 18, 13])).
% 31.77/20.62 tff(110,plain,
% 31.77/20.62 ($false),
% 31.77/20.62 inference(unit_resolution,[status(thm)],[2, 109])).
% 31.77/20.62 tff(111,plain,(multiply(sk_c6, sk_c7) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 31.77/20.62 tff(112,plain,
% 31.77/20.62 (sk_c5 = multiply(sk_c6, sk_c7)),
% 31.77/20.62 inference(symmetry,[status(thm)],[111])).
% 31.77/20.62 tff(113,plain,
% 31.77/20.62 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 31.77/20.62 inference(quant_inst,[status(thm)],[])).
% 31.77/20.62 tff(114,plain,
% 31.77/20.62 (multiply(identity, sk_c6) = sk_c6),
% 31.77/20.62 inference(unit_resolution,[status(thm)],[113, 57])).
% 31.77/20.62 tff(115,plain,
% 31.77/20.62 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c3), sk_c3) = identity)),
% 31.77/20.62 inference(quant_inst,[status(thm)],[])).
% 31.77/20.62 tff(116,plain,
% 31.77/20.62 (multiply(inverse(sk_c3), sk_c3) = identity),
% 31.77/20.62 inference(unit_resolution,[status(thm)],[115, 41])).
% 31.77/20.62 tff(117,assumption,(~(multiply(sk_c7, sk_c6) = sk_c5)), introduced(assumption)).
% 31.77/20.62 tff(118,plain,
% 31.77/20.62 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7))),
% 31.77/20.62 inference(rewrite,[status(thm)],[])).
% 31.77/20.62 tff(119,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_2')).
% 31.77/20.62 tff(120,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[119, 118])).
% 31.77/20.62 tff(121,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[120, 118])).
% 31.77/20.62 tff(122,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[121, 118])).
% 31.77/20.62 tff(123,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[122, 118])).
% 31.77/20.62 tff(124,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[123, 118])).
% 31.77/20.62 tff(125,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[124, 118])).
% 31.77/20.62 tff(126,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[125, 118])).
% 31.77/20.62 tff(127,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c3) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[126, 118])).
% 31.77/20.62 tff(128,plain,
% 31.77/20.62 (inverse(sk_c3) = sk_c7),
% 31.77/20.62 inference(unit_resolution,[status(thm)],[127, 117])).
% 31.77/20.62 tff(129,plain,
% 31.77/20.62 (sk_c7 = inverse(sk_c3)),
% 31.77/20.62 inference(symmetry,[status(thm)],[128])).
% 31.77/20.62 tff(130,plain,
% 31.77/20.62 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 31.77/20.62 inference(monotonicity,[status(thm)],[129])).
% 31.77/20.62 tff(131,plain,
% 31.77/20.62 (multiply(sk_c7, sk_c3) = identity),
% 31.77/20.62 inference(transitivity,[status(thm)],[130, 116])).
% 31.77/20.62 tff(132,plain,
% 31.77/20.62 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 31.77/20.62 inference(monotonicity,[status(thm)],[131])).
% 31.77/20.62 tff(133,plain,
% 31.77/20.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c6)))),
% 31.77/20.62 inference(quant_inst,[status(thm)],[])).
% 31.77/20.62 tff(134,plain,
% 31.77/20.62 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 31.77/20.62 inference(unit_resolution,[status(thm)],[133, 25])).
% 31.77/20.62 tff(135,plain,
% 31.77/20.62 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 31.77/20.62 inference(symmetry,[status(thm)],[134])).
% 31.77/20.62 tff(136,plain,
% 31.77/20.62 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 31.77/20.62 inference(rewrite,[status(thm)],[])).
% 31.77/20.62 tff(137,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_3')).
% 31.77/20.62 tff(138,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[137, 136])).
% 31.77/20.62 tff(139,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[138, 136])).
% 31.77/20.62 tff(140,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[139, 136])).
% 31.77/20.62 tff(141,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[140, 136])).
% 31.77/20.62 tff(142,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[141, 136])).
% 31.77/20.62 tff(143,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[142, 136])).
% 31.77/20.62 tff(144,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[143, 136])).
% 31.77/20.62 tff(145,plain,
% 31.77/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.77/20.62 inference(modus_ponens,[status(thm)],[144, 136])).
% 31.77/20.62 tff(146,plain,
% 31.77/20.62 (multiply(sk_c3, sk_c6) = sk_c7),
% 31.77/20.62 inference(unit_resolution,[status(thm)],[145, 117])).
% 31.77/20.62 tff(147,plain,
% 31.77/20.62 (sk_c7 = multiply(sk_c3, sk_c6)),
% 31.77/20.62 inference(symmetry,[status(thm)],[146])).
% 31.77/20.62 tff(148,plain,
% 31.77/20.62 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 31.77/20.62 inference(monotonicity,[status(thm)],[147])).
% 31.77/20.62 tff(149,plain,
% 31.77/20.62 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c7, sk_c7)),
% 31.77/20.62 inference(monotonicity,[status(thm)],[146])).
% 31.77/20.62 tff(150,plain,
% 31.77/20.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7)))),
% 31.77/20.62 inference(quant_inst,[status(thm)],[])).
% 31.77/20.62 tff(151,plain,
% 31.77/20.62 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 31.77/20.62 inference(unit_resolution,[status(thm)],[150, 25])).
% 31.77/20.62 tff(152,plain,
% 31.77/20.62 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 31.77/20.62 inference(symmetry,[status(thm)],[151])).
% 31.77/20.62 tff(153,plain,
% 31.77/20.62 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 31.77/20.62 inference(monotonicity,[status(thm)],[112])).
% 31.77/20.62 tff(154,plain,
% 31.77/20.62 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 31.77/20.62 inference(quant_inst,[status(thm)],[])).
% 31.77/20.62 tff(155,plain,
% 31.77/20.62 (multiply(identity, sk_c5) = sk_c5),
% 31.77/20.62 inference(unit_resolution,[status(thm)],[154, 57])).
% 31.77/20.62 tff(156,plain,
% 31.77/20.62 (((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6))),
% 31.77/20.62 inference(rewrite,[status(thm)],[])).
% 31.77/20.62 tff(157,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_4')).
% 31.81/20.62 tff(158,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[157, 156])).
% 31.81/20.62 tff(159,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[158, 156])).
% 31.81/20.62 tff(160,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[159, 156])).
% 31.81/20.62 tff(161,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[160, 156])).
% 31.81/20.62 tff(162,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[161, 156])).
% 31.81/20.62 tff(163,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[162, 156])).
% 31.81/20.62 tff(164,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[163, 156])).
% 31.81/20.62 tff(165,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (inverse(sk_c4) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[164, 156])).
% 31.81/20.62 tff(166,plain,
% 31.81/20.62 (inverse(sk_c4) = sk_c6),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[165, 117])).
% 31.81/20.62 tff(167,plain,
% 31.81/20.62 (sk_c6 = inverse(sk_c4)),
% 31.81/20.62 inference(symmetry,[status(thm)],[166])).
% 31.81/20.62 tff(168,plain,
% 31.81/20.62 (multiply(sk_c6, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[167])).
% 31.81/20.62 tff(169,plain,
% 31.81/20.62 (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c6, sk_c4)),
% 31.81/20.62 inference(symmetry,[status(thm)],[168])).
% 31.81/20.62 tff(170,plain,
% 31.81/20.62 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 31.81/20.62 inference(quant_inst,[status(thm)],[])).
% 31.81/20.62 tff(171,plain,
% 31.81/20.62 (multiply(inverse(sk_c4), sk_c4) = identity),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[170, 41])).
% 31.81/20.62 tff(172,plain,
% 31.81/20.62 (identity = multiply(inverse(sk_c4), sk_c4)),
% 31.81/20.62 inference(symmetry,[status(thm)],[171])).
% 31.81/20.62 tff(173,plain,
% 31.81/20.62 (identity = multiply(sk_c6, sk_c4)),
% 31.81/20.62 inference(transitivity,[status(thm)],[172, 169])).
% 31.81/20.62 tff(174,plain,
% 31.81/20.62 (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[173])).
% 31.81/20.62 tff(175,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(identity, sk_c5)),
% 31.81/20.62 inference(symmetry,[status(thm)],[174])).
% 31.81/20.62 tff(176,plain,
% 31.81/20.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c5)))),
% 31.81/20.62 inference(quant_inst,[status(thm)],[])).
% 31.81/20.62 tff(177,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[176, 25])).
% 31.81/20.62 tff(178,plain,
% 31.81/20.62 (multiply(sk_c6, multiply(sk_c4, sk_c5)) = multiply(multiply(sk_c6, sk_c4), sk_c5)),
% 31.81/20.62 inference(symmetry,[status(thm)],[177])).
% 31.81/20.62 tff(179,plain,
% 31.81/20.62 (((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 31.81/20.62 inference(rewrite,[status(thm)],[])).
% 31.81/20.62 tff(180,axiom,((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_5')).
% 31.81/20.62 tff(181,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[180, 179])).
% 31.81/20.62 tff(182,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[181, 179])).
% 31.81/20.62 tff(183,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[182, 179])).
% 31.81/20.62 tff(184,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[183, 179])).
% 31.81/20.62 tff(185,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[184, 179])).
% 31.81/20.62 tff(186,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[185, 179])).
% 31.81/20.62 tff(187,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[186, 179])).
% 31.81/20.62 tff(188,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[187, 179])).
% 31.81/20.62 tff(189,plain,
% 31.81/20.62 (multiply(sk_c4, sk_c5) = sk_c6),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[188, 117])).
% 31.81/20.62 tff(190,plain,
% 31.81/20.62 (sk_c6 = multiply(sk_c4, sk_c5)),
% 31.81/20.62 inference(symmetry,[status(thm)],[189])).
% 31.81/20.62 tff(191,plain,
% 31.81/20.62 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c4, sk_c5))),
% 31.81/20.62 inference(monotonicity,[status(thm)],[190])).
% 31.81/20.62 tff(192,plain,
% 31.81/20.62 (multiply(sk_c6, sk_c6) = sk_c5),
% 31.81/20.62 inference(transitivity,[status(thm)],[191, 178, 175, 155])).
% 31.81/20.62 tff(193,plain,
% 31.81/20.62 (multiply(sk_c3, multiply(sk_c6, sk_c6)) = multiply(sk_c3, sk_c5)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[192])).
% 31.81/20.62 tff(194,plain,
% 31.81/20.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6)))),
% 31.81/20.62 inference(quant_inst,[status(thm)],[])).
% 31.81/20.62 tff(195,plain,
% 31.81/20.62 (multiply(multiply(sk_c3, sk_c6), sk_c6) = multiply(sk_c3, multiply(sk_c6, sk_c6))),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[194, 25])).
% 31.81/20.62 tff(196,plain,
% 31.81/20.62 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c3, sk_c6), sk_c6)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[147])).
% 31.81/20.62 tff(197,plain,
% 31.81/20.62 (multiply(sk_c7, sk_c6) = sk_c6),
% 31.81/20.62 inference(transitivity,[status(thm)],[196, 195, 193, 153, 152, 149, 148, 135, 132, 114])).
% 31.81/20.62 tff(198,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) <=> (sk_c6 = multiply(sk_c6, sk_c7))),
% 31.81/20.62 inference(monotonicity,[status(thm)],[197, 112])).
% 31.81/20.62 tff(199,plain,
% 31.81/20.62 ((multiply(sk_c7, sk_c6) = sk_c5) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 31.81/20.62 inference(transitivity,[status(thm)],[198, 1])).
% 31.81/20.62 tff(200,plain,
% 31.81/20.62 ((multiply(sk_c6, sk_c7) = sk_c6) <=> (multiply(sk_c7, sk_c6) = sk_c5)),
% 31.81/20.62 inference(symmetry,[status(thm)],[199])).
% 31.81/20.62 tff(201,plain,
% 31.81/20.62 (multiply(sk_c3, sk_c5) = sk_c6),
% 31.81/20.62 inference(transitivity,[status(thm)],[153, 152, 149, 148, 135, 132, 114])).
% 31.81/20.62 tff(202,plain,
% 31.81/20.62 (multiply(sk_c7, multiply(sk_c3, sk_c5)) = multiply(sk_c7, sk_c6)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[201])).
% 31.81/20.62 tff(203,plain,
% 31.81/20.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(sk_c7, multiply(sk_c3, sk_c5)))),
% 31.81/20.62 inference(quant_inst,[status(thm)],[])).
% 31.81/20.62 tff(204,plain,
% 31.81/20.62 (multiply(multiply(sk_c7, sk_c3), sk_c5) = multiply(sk_c7, multiply(sk_c3, sk_c5))),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[203, 25])).
% 31.81/20.62 tff(205,plain,
% 31.81/20.62 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 31.81/20.62 inference(symmetry,[status(thm)],[130])).
% 31.81/20.62 tff(206,plain,
% 31.81/20.62 (identity = multiply(inverse(sk_c3), sk_c3)),
% 31.81/20.62 inference(symmetry,[status(thm)],[116])).
% 31.81/20.62 tff(207,plain,
% 31.81/20.62 (multiply(sk_c6, sk_c4) = multiply(sk_c7, sk_c3)),
% 31.81/20.62 inference(transitivity,[status(thm)],[168, 171, 206, 205])).
% 31.81/20.62 tff(208,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, sk_c4), sk_c5) = multiply(multiply(sk_c7, sk_c3), sk_c5)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[207])).
% 31.81/20.62 tff(209,plain,
% 31.81/20.62 (sk_c5 = multiply(identity, sk_c5)),
% 31.81/20.62 inference(symmetry,[status(thm)],[155])).
% 31.81/20.62 tff(210,plain,
% 31.81/20.62 (multiply(sk_c6, sk_c7) = sk_c6),
% 31.81/20.62 inference(transitivity,[status(thm)],[111, 209, 174, 208, 204, 202, 196, 195, 193, 153, 152, 149, 148, 135, 132, 114])).
% 31.81/20.62 tff(211,plain,
% 31.81/20.62 (multiply(sk_c7, sk_c6) = sk_c5),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[210, 200])).
% 31.81/20.62 tff(212,plain,
% 31.81/20.62 ($false),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[117, 211])).
% 31.81/20.62 tff(213,plain,(multiply(sk_c7, sk_c6) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 31.81/20.62 tff(214,plain,
% 31.81/20.62 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 31.81/20.62 inference(quant_inst,[status(thm)],[])).
% 31.81/20.62 tff(215,plain,
% 31.81/20.62 (multiply(identity, sk_c7) = sk_c7),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[214, 57])).
% 31.81/20.62 tff(216,assumption,(~(inverse(sk_c3) = sk_c7)), introduced(assumption)).
% 31.81/20.62 tff(217,plain,
% 31.81/20.62 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7))),
% 31.81/20.62 inference(rewrite,[status(thm)],[])).
% 31.81/20.62 tff(218,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_12')).
% 31.81/20.62 tff(219,plain,
% 31.81/20.62 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c3) = sk_c7)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[218, 217])).
% 31.81/20.62 tff(220,plain,
% 31.81/20.62 (inverse(sk_c1) = sk_c7),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[219, 216])).
% 31.81/20.62 tff(221,plain,
% 31.81/20.62 (sk_c7 = inverse(sk_c1)),
% 31.81/20.62 inference(symmetry,[status(thm)],[220])).
% 31.81/20.62 tff(222,plain,
% 31.81/20.62 (((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7))),
% 31.81/20.62 inference(rewrite,[status(thm)],[])).
% 31.81/20.62 tff(223,axiom,((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_22')).
% 31.81/20.62 tff(224,plain,
% 31.81/20.62 ((inverse(sk_c2) = sk_c7) | (inverse(sk_c3) = sk_c7)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[223, 222])).
% 31.81/20.62 tff(225,plain,
% 31.81/20.62 (inverse(sk_c2) = sk_c7),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[224, 216])).
% 31.81/20.62 tff(226,plain,
% 31.81/20.62 (inverse(sk_c2) = inverse(sk_c1)),
% 31.81/20.62 inference(transitivity,[status(thm)],[225, 221])).
% 31.81/20.62 tff(227,plain,
% 31.81/20.62 ((inverse(sk_c2) = sk_c6) <=> (inverse(sk_c1) = sk_c6)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[226])).
% 31.81/20.62 tff(228,plain,
% 31.81/20.62 ((inverse(sk_c1) = sk_c6) <=> (inverse(sk_c2) = sk_c6)),
% 31.81/20.62 inference(symmetry,[status(thm)],[227])).
% 31.81/20.62 tff(229,plain,
% 31.81/20.62 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 31.81/20.62 inference(rewrite,[status(thm)],[])).
% 31.81/20.62 tff(230,plain,
% 31.81/20.62 (((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 31.81/20.62 inference(rewrite,[status(thm)],[])).
% 31.81/20.62 tff(231,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_7')).
% 31.81/20.62 tff(232,plain,
% 31.81/20.62 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[231, 230])).
% 31.81/20.62 tff(233,plain,
% 31.81/20.62 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 31.81/20.62 inference(modus_ponens,[status(thm)],[232, 229])).
% 31.81/20.62 tff(234,plain,
% 31.81/20.62 (multiply(sk_c1, sk_c7) = sk_c6),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[233, 216])).
% 31.81/20.62 tff(235,plain,
% 31.81/20.62 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[234])).
% 31.81/20.62 tff(236,plain,
% 31.81/20.62 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[221])).
% 31.81/20.62 tff(237,plain,
% 31.81/20.62 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 31.81/20.62 inference(symmetry,[status(thm)],[236])).
% 31.81/20.62 tff(238,plain,
% 31.81/20.62 (identity = multiply(sk_c7, sk_c1)),
% 31.81/20.62 inference(transitivity,[status(thm)],[44, 237])).
% 31.81/20.62 tff(239,plain,
% 31.81/20.62 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[238])).
% 31.81/20.62 tff(240,plain,
% 31.81/20.62 (sk_c7 = multiply(identity, sk_c7)),
% 31.81/20.62 inference(symmetry,[status(thm)],[215])).
% 31.81/20.62 tff(241,plain,
% 31.81/20.62 (inverse(sk_c1) = multiply(sk_c6, sk_c7)),
% 31.81/20.62 inference(transitivity,[status(thm)],[220, 240, 239, 27, 235, 213, 112])).
% 31.81/20.62 tff(242,plain,
% 31.81/20.62 ((inverse(sk_c1) = sk_c6) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[241])).
% 31.81/20.62 tff(243,plain,
% 31.81/20.62 ((multiply(sk_c6, sk_c7) = sk_c6) <=> (inverse(sk_c1) = sk_c6)),
% 31.81/20.62 inference(symmetry,[status(thm)],[242])).
% 31.81/20.62 tff(244,plain,
% 31.81/20.62 (sk_c7 = multiply(sk_c6, sk_c7)),
% 31.81/20.62 inference(transitivity,[status(thm)],[240, 239, 27, 235, 213, 112])).
% 31.81/20.62 tff(245,plain,
% 31.81/20.62 (multiply(multiply(sk_c1, sk_c7), sk_c1) = multiply(sk_c6, sk_c1)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[234])).
% 31.81/20.62 tff(246,plain,
% 31.81/20.62 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(sk_c7, sk_c1))),
% 31.81/20.62 inference(monotonicity,[status(thm)],[238])).
% 31.81/20.62 tff(247,plain,
% 31.81/20.62 (multiply(sk_c1, multiply(sk_c7, sk_c1)) = multiply(sk_c1, identity)),
% 31.81/20.62 inference(symmetry,[status(thm)],[246])).
% 31.81/20.62 tff(248,plain,
% 31.81/20.62 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c1, sk_c7), sk_c1)),
% 31.81/20.62 inference(symmetry,[status(thm)],[245])).
% 31.81/20.62 tff(249,plain,
% 31.81/20.62 (multiply(sk_c6, sk_c1) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.81/20.62 inference(transitivity,[status(thm)],[248, 65, 247, 77])).
% 31.81/20.62 tff(250,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, sk_c1), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[249])).
% 31.81/20.62 tff(251,plain,
% 31.81/20.62 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity) = multiply(multiply(sk_c6, sk_c1), identity)),
% 31.81/20.62 inference(symmetry,[status(thm)],[250])).
% 31.81/20.62 tff(252,plain,
% 31.81/20.62 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c6, sk_c1), identity)),
% 31.81/20.62 inference(transitivity,[status(thm)],[248, 65, 247, 91, 87, 84, 251])).
% 31.81/20.62 tff(253,plain,
% 31.81/20.62 (multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), identity))),
% 31.81/20.62 inference(monotonicity,[status(thm)],[252])).
% 31.81/20.62 tff(254,plain,
% 31.81/20.62 (sk_c1 = multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))),
% 31.81/20.62 inference(transitivity,[status(thm)],[60, 50, 48, 253, 75, 72, 246, 66, 245, 62])).
% 31.81/20.62 tff(255,plain,
% 31.81/20.62 (multiply(sk_c1, sk_c7) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[254])).
% 31.81/20.62 tff(256,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7) = multiply(sk_c1, sk_c7)),
% 31.81/20.62 inference(symmetry,[status(thm)],[255])).
% 31.81/20.62 tff(257,plain,
% 31.81/20.62 (sk_c1 = multiply(sk_c6, sk_c1)),
% 31.81/20.62 inference(transitivity,[status(thm)],[60, 50, 48, 253, 75, 72, 246, 66, 245])).
% 31.81/20.62 tff(258,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c6, sk_c1))),
% 31.81/20.62 inference(monotonicity,[status(thm)],[257])).
% 31.81/20.62 tff(259,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c6, sk_c1)) = multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1)),
% 31.81/20.62 inference(symmetry,[status(thm)],[258])).
% 31.81/20.62 tff(260,plain,
% 31.81/20.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c6, sk_c1)) = multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))))),
% 31.81/20.62 inference(quant_inst,[status(thm)],[])).
% 31.81/20.62 tff(261,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c6, sk_c1)) = multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[260, 25])).
% 31.81/20.62 tff(262,plain,
% 31.81/20.62 (multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c6, sk_c1))),
% 31.81/20.62 inference(symmetry,[status(thm)],[261])).
% 31.81/20.62 tff(263,plain,
% 31.81/20.62 (multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))) = multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1)),
% 31.81/20.62 inference(transitivity,[status(thm)],[262, 259])).
% 31.81/20.62 tff(264,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[263])).
% 31.81/20.62 tff(265,plain,
% 31.81/20.62 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7)),
% 31.81/20.62 inference(symmetry,[status(thm)],[264])).
% 31.81/20.62 tff(266,plain,
% 31.81/20.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, sk_c7)))),
% 31.81/20.62 inference(quant_inst,[status(thm)],[])).
% 31.81/20.62 tff(267,plain,
% 31.81/20.62 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, sk_c7))),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[266, 25])).
% 31.81/20.62 tff(268,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, sk_c7)) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7)),
% 31.81/20.62 inference(symmetry,[status(thm)],[267])).
% 31.81/20.62 tff(269,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[234])).
% 31.81/20.62 tff(270,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, sk_c7))),
% 31.81/20.62 inference(symmetry,[status(thm)],[269])).
% 31.81/20.62 tff(271,plain,
% 31.81/20.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6) = multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.81/20.62 inference(quant_inst,[status(thm)],[])).
% 31.81/20.62 tff(272,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6) = multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[271, 25])).
% 31.81/20.62 tff(273,plain,
% 31.81/20.62 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6)),
% 31.81/20.62 inference(symmetry,[status(thm)],[272])).
% 31.81/20.62 tff(274,plain,
% 31.81/20.62 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c6, identity)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[46])).
% 31.81/20.62 tff(275,plain,
% 31.81/20.62 (multiply(sk_c6, identity) = multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))),
% 31.81/20.62 inference(symmetry,[status(thm)],[274])).
% 31.81/20.62 tff(276,plain,
% 31.81/20.62 (sk_c6 = multiply(sk_c1, sk_c7)),
% 31.81/20.62 inference(symmetry,[status(thm)],[234])).
% 31.81/20.62 tff(277,plain,
% 31.81/20.62 (multiply(sk_c6, identity) = multiply(multiply(sk_c1, sk_c7), identity)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[276])).
% 31.81/20.62 tff(278,plain,
% 31.81/20.62 (multiply(multiply(sk_c1, sk_c7), identity) = multiply(sk_c6, identity)),
% 31.81/20.62 inference(symmetry,[status(thm)],[277])).
% 31.81/20.62 tff(279,plain,
% 31.81/20.62 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), identity) = multiply(sk_c1, multiply(sk_c7, identity)))),
% 31.81/20.62 inference(quant_inst,[status(thm)],[])).
% 31.81/20.62 tff(280,plain,
% 31.81/20.62 (multiply(multiply(sk_c1, sk_c7), identity) = multiply(sk_c1, multiply(sk_c7, identity))),
% 31.81/20.62 inference(unit_resolution,[status(thm)],[279, 25])).
% 31.81/20.62 tff(281,plain,
% 31.81/20.62 (multiply(sk_c1, multiply(sk_c7, identity)) = multiply(multiply(sk_c1, sk_c7), identity)),
% 31.81/20.62 inference(symmetry,[status(thm)],[280])).
% 31.81/20.62 tff(282,plain,
% 31.81/20.62 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7)) = multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))), sk_c7)),
% 31.81/20.62 inference(symmetry,[status(thm)],[101])).
% 31.81/20.62 tff(283,plain,
% 31.81/20.62 (sk_c6 = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7)),
% 31.81/20.62 inference(transitivity,[status(thm)],[276, 255])).
% 31.81/20.62 tff(284,plain,
% 31.81/20.62 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7))),
% 31.81/20.62 inference(monotonicity,[status(thm)],[283])).
% 31.81/20.62 tff(285,plain,
% 31.81/20.62 (identity = sk_c6),
% 31.81/20.62 inference(transitivity,[status(thm)],[49, 284, 282, 105, 234])).
% 31.81/20.62 tff(286,plain,
% 31.81/20.62 (multiply(sk_c7, identity) = multiply(sk_c7, sk_c6)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[285])).
% 31.81/20.62 tff(287,plain,
% 31.81/20.62 (multiply(sk_c7, identity) = sk_c5),
% 31.81/20.62 inference(transitivity,[status(thm)],[286, 213])).
% 31.81/20.62 tff(288,plain,
% 31.81/20.62 (multiply(sk_c1, multiply(sk_c7, identity)) = multiply(sk_c1, sk_c5)),
% 31.81/20.62 inference(monotonicity,[status(thm)],[287])).
% 31.81/20.62 tff(289,plain,
% 31.81/20.62 (multiply(sk_c1, sk_c5) = multiply(sk_c1, multiply(sk_c7, identity))),
% 31.81/20.62 inference(symmetry,[status(thm)],[288])).
% 31.81/20.62 tff(290,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c1) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c6, sk_c1))),
% 31.81/20.62 inference(monotonicity,[status(thm)],[257])).
% 31.81/20.62 tff(291,plain,
% 31.81/20.62 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c6, sk_c1)) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c1)),
% 31.81/20.63 inference(symmetry,[status(thm)],[290])).
% 31.81/20.63 tff(292,plain,
% 31.81/20.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c6), sk_c1) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c6, sk_c1)))),
% 31.81/20.63 inference(quant_inst,[status(thm)],[])).
% 31.81/20.63 tff(293,plain,
% 31.81/20.63 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c6), sk_c1) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c6, sk_c1))),
% 31.81/20.63 inference(unit_resolution,[status(thm)],[292, 25])).
% 31.81/20.63 tff(294,plain,
% 31.81/20.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c6) = multiply(sk_c6, multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6)))),
% 31.81/20.63 inference(quant_inst,[status(thm)],[])).
% 31.81/20.63 tff(295,plain,
% 31.81/20.63 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c6) = multiply(sk_c6, multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6))),
% 31.81/20.63 inference(unit_resolution,[status(thm)],[294, 25])).
% 31.81/20.63 tff(296,plain,
% 31.81/20.63 (multiply(sk_c6, multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c6)),
% 31.81/20.63 inference(symmetry,[status(thm)],[295])).
% 31.81/20.63 tff(297,plain,
% 31.81/20.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.81/20.63 inference(quant_inst,[status(thm)],[])).
% 31.81/20.63 tff(298,plain,
% 31.81/20.63 (multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.81/20.63 inference(unit_resolution,[status(thm)],[297, 25])).
% 31.81/20.63 tff(299,plain,
% 31.81/20.63 (multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6) = multiply(sk_c1, identity)),
% 31.81/20.63 inference(transitivity,[status(thm)],[298, 76])).
% 31.81/20.63 tff(300,plain,
% 31.81/20.63 (multiply(sk_c6, multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6)) = multiply(sk_c6, multiply(sk_c1, identity))),
% 31.81/20.63 inference(monotonicity,[status(thm)],[299])).
% 31.81/20.63 tff(301,plain,
% 31.81/20.63 (multiply(sk_c6, multiply(sk_c1, identity)) = multiply(sk_c6, multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6))),
% 31.81/20.63 inference(symmetry,[status(thm)],[300])).
% 31.81/20.63 tff(302,plain,
% 31.81/20.63 (multiply(sk_c6, multiply(sk_c1, identity)) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c6)),
% 31.81/20.63 inference(transitivity,[status(thm)],[301, 296])).
% 31.81/20.63 tff(303,plain,
% 31.81/20.63 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c1) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c6), sk_c1)),
% 31.81/20.63 inference(monotonicity,[status(thm)],[302])).
% 31.81/20.63 tff(304,plain,
% 31.81/20.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c1) = multiply(sk_c6, multiply(multiply(sk_c1, identity), sk_c1)))),
% 31.81/20.63 inference(quant_inst,[status(thm)],[])).
% 31.81/20.63 tff(305,plain,
% 31.81/20.63 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c1) = multiply(sk_c6, multiply(multiply(sk_c1, identity), sk_c1))),
% 31.81/20.63 inference(unit_resolution,[status(thm)],[304, 25])).
% 31.81/20.63 tff(306,plain,
% 31.81/20.63 (multiply(sk_c6, multiply(multiply(sk_c1, identity), sk_c1)) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c1)),
% 31.81/20.63 inference(symmetry,[status(thm)],[305])).
% 31.81/20.63 tff(307,plain,
% 31.81/20.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), sk_c1) = multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.81/20.63 inference(quant_inst,[status(thm)],[])).
% 31.81/20.63 tff(308,plain,
% 31.81/20.63 (multiply(multiply(sk_c1, identity), sk_c1) = multiply(sk_c1, multiply(identity, sk_c1))),
% 31.81/20.63 inference(unit_resolution,[status(thm)],[307, 25])).
% 31.81/20.63 tff(309,plain,
% 31.81/20.63 (multiply(sk_c1, multiply(identity, sk_c1)) = multiply(multiply(sk_c1, identity), sk_c1)),
% 31.81/20.63 inference(symmetry,[status(thm)],[308])).
% 31.81/20.63 tff(310,plain,
% 31.81/20.63 (multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))) = multiply(sk_c6, multiply(multiply(sk_c1, identity), sk_c1))),
% 31.81/20.63 inference(monotonicity,[status(thm)],[309])).
% 31.81/20.63 tff(311,plain,
% 31.81/20.63 (multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c1)),
% 31.81/20.63 inference(transitivity,[status(thm)],[310, 306, 303, 293, 291])).
% 31.81/20.63 tff(312,plain,
% 31.81/20.63 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), sk_c7) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c1), sk_c7)),
% 31.81/20.63 inference(monotonicity,[status(thm)],[311])).
% 31.81/20.63 tff(313,plain,
% 31.81/20.63 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c1), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), sk_c7)),
% 31.81/20.63 inference(symmetry,[status(thm)],[312])).
% 31.81/20.63 tff(314,plain,
% 31.81/20.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c1), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, sk_c7)))),
% 31.81/20.63 inference(quant_inst,[status(thm)],[])).
% 31.81/20.63 tff(315,plain,
% 31.81/20.63 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c1), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, sk_c7))),
% 31.81/20.63 inference(unit_resolution,[status(thm)],[314, 25])).
% 31.81/20.63 tff(316,plain,
% 31.81/20.63 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, sk_c7)) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c1), sk_c7)),
% 31.81/20.63 inference(symmetry,[status(thm)],[315])).
% 31.81/20.63 tff(317,plain,
% 31.81/20.63 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c6)),
% 31.81/20.63 inference(monotonicity,[status(thm)],[234])).
% 31.81/20.63 tff(318,plain,
% 31.81/20.63 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c6) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, sk_c7))),
% 31.81/20.63 inference(symmetry,[status(thm)],[317])).
% 31.81/20.63 tff(319,plain,
% 31.81/20.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), identity) = multiply(sk_c6, multiply(sk_c1, identity)))),
% 31.81/20.63 inference(quant_inst,[status(thm)],[])).
% 31.81/20.63 tff(320,plain,
% 31.81/20.63 (multiply(multiply(sk_c6, sk_c1), identity) = multiply(sk_c6, multiply(sk_c1, identity))),
% 31.81/20.63 inference(unit_resolution,[status(thm)],[319, 25])).
% 31.81/20.63 tff(321,plain,
% 31.81/20.63 (sk_c1 = multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), sk_c7)),
% 31.81/20.63 inference(transitivity,[status(thm)],[60, 50, 48, 253, 75, 72, 91, 87, 84, 251, 320, 301, 296, 318, 316, 313])).
% 31.81/20.63 tff(322,plain,
% 31.81/20.63 (multiply(sk_c1, sk_c5) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), sk_c7), sk_c5)),
% 31.81/20.63 inference(monotonicity,[status(thm)],[321])).
% 31.81/20.63 tff(323,plain,
% 31.81/20.63 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), sk_c7), sk_c5) = multiply(sk_c1, sk_c5)),
% 31.81/20.63 inference(symmetry,[status(thm)],[322])).
% 31.81/20.63 tff(324,plain,
% 31.81/20.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), sk_c7), sk_c5) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), multiply(sk_c7, sk_c5)))),
% 31.81/20.63 inference(quant_inst,[status(thm)],[])).
% 31.81/20.63 tff(325,plain,
% 31.81/20.63 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), sk_c7), sk_c5) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), multiply(sk_c7, sk_c5))),
% 31.81/20.63 inference(unit_resolution,[status(thm)],[324, 25])).
% 31.81/20.63 tff(326,plain,
% 31.81/20.63 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), sk_c7), sk_c5)),
% 31.81/20.63 inference(symmetry,[status(thm)],[325])).
% 31.81/20.63 tff(327,plain,
% 31.81/20.63 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 31.81/20.63 inference(symmetry,[status(thm)],[239])).
% 31.81/20.63 tff(328,plain,
% 31.81/20.63 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 31.82/20.63 inference(symmetry,[status(thm)],[27])).
% 31.82/20.63 tff(329,plain,
% 31.82/20.63 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 31.82/20.63 inference(symmetry,[status(thm)],[235])).
% 31.82/20.63 tff(330,plain,
% 31.82/20.63 (sk_c5 = multiply(sk_c7, sk_c6)),
% 31.82/20.63 inference(symmetry,[status(thm)],[213])).
% 31.82/20.63 tff(331,plain,
% 31.82/20.63 (sk_c5 = sk_c7),
% 31.82/20.63 inference(transitivity,[status(thm)],[330, 329, 328, 327, 215])).
% 31.82/20.63 tff(332,plain,
% 31.82/20.63 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), sk_c7)) = multiply(inverse(sk_c6), sk_c6)),
% 31.82/20.63 inference(symmetry,[status(thm)],[284])).
% 31.82/20.63 tff(333,plain,
% 31.82/20.63 (sk_c6 = multiply(sk_c7, sk_c1)),
% 31.82/20.63 inference(transitivity,[status(thm)],[276, 106, 101, 332, 46, 44, 237])).
% 31.82/20.63 tff(334,plain,
% 31.82/20.63 (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 31.82/20.63 inference(monotonicity,[status(thm)],[333, 331])).
% 31.82/20.63 tff(335,plain,
% 31.82/20.63 (sk_c7 = sk_c5),
% 31.82/20.63 inference(transitivity,[status(thm)],[240, 239, 27, 235, 213])).
% 31.82/20.63 tff(336,plain,
% 31.82/20.63 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 31.82/20.63 inference(quant_inst,[status(thm)],[])).
% 31.82/20.63 tff(337,plain,
% 31.82/20.63 (multiply(inverse(sk_c2), sk_c2) = identity),
% 31.82/20.63 inference(unit_resolution,[status(thm)],[336, 41])).
% 31.82/20.63 tff(338,plain,
% 31.82/20.63 (sk_c7 = inverse(sk_c2)),
% 31.82/20.63 inference(symmetry,[status(thm)],[225])).
% 31.82/20.63 tff(339,plain,
% 31.82/20.63 (multiply(sk_c7, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 31.82/20.63 inference(monotonicity,[status(thm)],[338])).
% 31.82/20.63 tff(340,plain,
% 31.82/20.63 (multiply(sk_c7, sk_c2) = sk_c6),
% 31.82/20.63 inference(transitivity,[status(thm)],[339, 337, 49, 284, 282, 105, 234])).
% 31.82/20.63 tff(341,plain,
% 31.82/20.63 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(sk_c6, sk_c5)),
% 31.82/20.63 inference(monotonicity,[status(thm)],[340, 335])).
% 31.82/20.63 tff(342,plain,
% 31.82/20.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c7)))),
% 31.82/20.63 inference(quant_inst,[status(thm)],[])).
% 31.82/20.63 tff(343,plain,
% 31.82/20.63 (multiply(multiply(sk_c7, sk_c2), sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 31.82/20.63 inference(unit_resolution,[status(thm)],[342, 25])).
% 31.82/20.63 tff(344,plain,
% 31.82/20.63 (multiply(sk_c7, multiply(sk_c2, sk_c7)) = multiply(multiply(sk_c7, sk_c2), sk_c7)),
% 31.82/20.63 inference(symmetry,[status(thm)],[343])).
% 31.82/20.63 tff(345,plain,
% 31.82/20.63 (((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c5)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c5))),
% 31.82/20.63 inference(rewrite,[status(thm)],[])).
% 31.82/20.63 tff(346,plain,
% 31.82/20.63 (((multiply(sk_c2, sk_c7) = sk_c5) | (inverse(sk_c3) = sk_c7)) <=> ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c5))),
% 31.82/20.63 inference(rewrite,[status(thm)],[])).
% 31.82/20.63 tff(347,axiom,((multiply(sk_c2, sk_c7) = sk_c5) | (inverse(sk_c3) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_17')).
% 31.82/20.63 tff(348,plain,
% 31.82/20.63 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c5)),
% 31.82/20.63 inference(modus_ponens,[status(thm)],[347, 346])).
% 31.82/20.63 tff(349,plain,
% 31.82/20.63 ((inverse(sk_c3) = sk_c7) | (multiply(sk_c2, sk_c7) = sk_c5)),
% 31.82/20.63 inference(modus_ponens,[status(thm)],[348, 345])).
% 31.82/20.63 tff(350,plain,
% 31.82/20.63 (multiply(sk_c2, sk_c7) = sk_c5),
% 31.82/20.63 inference(unit_resolution,[status(thm)],[349, 216])).
% 31.82/20.63 tff(351,plain,
% 31.82/20.63 (sk_c5 = multiply(sk_c2, sk_c7)),
% 31.82/20.63 inference(symmetry,[status(thm)],[350])).
% 31.82/20.63 tff(352,plain,
% 31.82/20.63 (multiply(sk_c7, sk_c5) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 31.82/20.63 inference(monotonicity,[status(thm)],[351])).
% 31.82/20.63 tff(353,plain,
% 31.82/20.63 (multiply(sk_c7, sk_c5) = sk_c7),
% 31.82/20.63 inference(transitivity,[status(thm)],[352, 344, 341, 334, 327, 215])).
% 31.82/20.63 tff(354,plain,
% 31.82/20.63 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), multiply(sk_c7, sk_c5)) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c1), sk_c7)),
% 31.82/20.63 inference(monotonicity,[status(thm)],[311, 353])).
% 31.82/20.63 tff(355,plain,
% 31.82/20.63 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c1), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(identity, sk_c1))), multiply(sk_c7, sk_c5))),
% 31.82/20.63 inference(symmetry,[status(thm)],[354])).
% 31.82/20.63 tff(356,plain,
% 31.82/20.63 (sk_c6 = identity),
% 31.82/20.63 inference(transitivity,[status(thm)],[276, 106, 101, 332, 46])).
% 31.82/20.63 tff(357,plain,
% 31.82/20.63 (multiply(sk_c1, sk_c6) = multiply(multiply(sk_c6, sk_c1), identity)),
% 31.82/20.63 inference(monotonicity,[status(thm)],[257, 356])).
% 31.82/20.63 tff(358,plain,
% 31.82/20.63 (multiply(sk_c1, sk_c6) = sk_c6),
% 31.82/20.63 inference(transitivity,[status(thm)],[357, 320, 301, 296, 318, 316, 355, 326, 323, 289, 281, 278, 275, 273, 270, 268, 265, 256, 234])).
% 31.82/20.63 tff(359,plain,
% 31.82/20.63 ((multiply(sk_c1, sk_c6) = sk_c7) <=> (sk_c6 = multiply(sk_c6, sk_c7))),
% 31.82/20.63 inference(monotonicity,[status(thm)],[358, 244])).
% 31.82/20.63 tff(360,plain,
% 31.82/20.63 ((multiply(sk_c1, sk_c6) = sk_c7) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 31.82/20.63 inference(transitivity,[status(thm)],[359, 1])).
% 31.82/20.63 tff(361,plain,
% 31.82/20.63 ((multiply(sk_c1, sk_c6) = sk_c7) <=> (inverse(sk_c2) = sk_c6)),
% 31.82/20.63 inference(transitivity,[status(thm)],[360, 243, 228])).
% 31.82/20.63 tff(362,plain,
% 31.82/20.63 (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c1, sk_c7), sk_c7)),
% 31.82/20.63 inference(monotonicity,[status(thm)],[276])).
% 31.82/20.63 tff(363,plain,
% 31.82/20.63 (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 31.82/20.63 inference(symmetry,[status(thm)],[362])).
% 31.82/20.63 tff(364,plain,
% 31.82/20.63 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c7)))),
% 31.82/20.63 inference(quant_inst,[status(thm)],[])).
% 31.82/20.63 tff(365,plain,
% 31.82/20.63 (multiply(multiply(sk_c1, sk_c7), sk_c7) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 31.82/20.63 inference(unit_resolution,[status(thm)],[364, 25])).
% 31.82/20.63 tff(366,plain,
% 31.82/20.63 (multiply(sk_c1, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c1, sk_c7), sk_c7)),
% 31.82/20.63 inference(symmetry,[status(thm)],[365])).
% 31.82/20.63 tff(367,plain,
% 31.82/20.63 (sk_c7 = multiply(sk_c2, sk_c7)),
% 31.82/20.63 inference(transitivity,[status(thm)],[240, 239, 27, 235, 213, 351])).
% 31.82/20.63 tff(368,plain,
% 31.82/20.63 (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c2, sk_c7))),
% 31.82/20.63 inference(monotonicity,[status(thm)],[367])).
% 31.82/20.63 tff(369,plain,
% 31.82/20.63 (multiply(sk_c7, sk_c7) = sk_c5),
% 31.82/20.63 inference(transitivity,[status(thm)],[368, 344, 341, 334, 27, 235, 213])).
% 31.82/20.63 tff(370,plain,
% 31.82/20.63 (multiply(sk_c1, multiply(sk_c7, sk_c7)) = multiply(sk_c1, sk_c5)),
% 31.82/20.63 inference(monotonicity,[status(thm)],[369])).
% 31.82/20.63 tff(371,plain,
% 31.82/20.63 (multiply(sk_c1, sk_c5) = multiply(sk_c1, multiply(sk_c7, sk_c7))),
% 31.82/20.63 inference(symmetry,[status(thm)],[370])).
% 31.82/20.63 tff(372,plain,
% 31.82/20.63 (multiply(sk_c1, sk_c6) = sk_c7),
% 31.82/20.63 inference(transitivity,[status(thm)],[357, 320, 301, 296, 318, 316, 355, 326, 323, 371, 366, 363, 111, 330, 329, 328, 327, 215])).
% 31.82/20.63 tff(373,plain,
% 31.82/20.63 (inverse(sk_c2) = sk_c6),
% 31.82/20.63 inference(modus_ponens,[status(thm)],[372, 361])).
% 31.82/20.63 tff(374,plain,
% 31.82/20.63 (multiply(sk_c2, sk_c5) = multiply(sk_c2, sk_c7)),
% 31.82/20.63 inference(monotonicity,[status(thm)],[331])).
% 31.82/20.63 tff(375,plain,
% 31.82/20.63 (multiply(sk_c2, sk_c5) = multiply(sk_c6, sk_c7)),
% 31.82/20.63 inference(transitivity,[status(thm)],[374, 350, 112])).
% 31.82/20.63 tff(376,plain,
% 31.82/20.63 ((multiply(sk_c2, sk_c5) = sk_c6) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 31.82/20.63 inference(monotonicity,[status(thm)],[375])).
% 31.82/20.63 tff(377,plain,
% 31.82/20.63 ((multiply(sk_c6, sk_c7) = sk_c6) <=> (multiply(sk_c2, sk_c5) = sk_c6)),
% 31.82/20.63 inference(symmetry,[status(thm)],[376])).
% 31.82/20.63 tff(378,plain,
% 31.82/20.63 ((multiply(sk_c1, sk_c6) = sk_c7) <=> (multiply(sk_c2, sk_c5) = sk_c6)),
% 31.82/20.63 inference(transitivity,[status(thm)],[360, 377])).
% 31.82/20.63 tff(379,plain,
% 31.82/20.63 (multiply(sk_c2, sk_c5) = sk_c6),
% 31.82/20.63 inference(modus_ponens,[status(thm)],[372, 378])).
% 31.82/20.63 tff(380,plain,
% 31.82/20.63 ((multiply(sk_c1, sk_c7) = sk_c5) <=> (sk_c6 = multiply(sk_c6, sk_c7))),
% 31.82/20.63 inference(monotonicity,[status(thm)],[234, 112])).
% 31.82/20.63 tff(381,plain,
% 31.82/20.63 ((multiply(sk_c1, sk_c7) = sk_c5) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 31.82/20.63 inference(transitivity,[status(thm)],[380, 1])).
% 31.82/20.63 tff(382,plain,
% 31.82/20.63 ((multiply(sk_c6, sk_c7) = sk_c6) <=> (multiply(sk_c1, sk_c7) = sk_c5)),
% 31.82/20.63 inference(symmetry,[status(thm)],[381])).
% 31.82/20.63 tff(383,plain,
% 31.82/20.63 ((multiply(sk_c1, sk_c6) = sk_c7) <=> (multiply(sk_c1, sk_c7) = sk_c5)),
% 31.82/20.63 inference(transitivity,[status(thm)],[360, 382])).
% 31.82/20.63 tff(384,plain,
% 31.82/20.63 (multiply(sk_c1, sk_c7) = sk_c5),
% 31.82/20.63 inference(modus_ponens,[status(thm)],[372, 383])).
% 31.82/20.63 tff(385,plain,
% 31.82/20.63 (^[X4: $i, X3: $i, X2: $i, X1: $i] : refl(((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))),
% 31.82/20.63 inference(bind,[status(th)],[])).
% 31.82/20.63 tff(386,plain,
% 31.82/20.63 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 31.82/20.63 inference(quant_intro,[status(thm)],[385])).
% 31.82/20.63 tff(387,plain,
% 31.82/20.63 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 31.82/20.63 inference(rewrite,[status(thm)],[])).
% 31.82/20.63 tff(388,plain,
% 31.82/20.63 (^[X4: $i, X3: $i, X2: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c5))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X4, sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X2) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))), (((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))))),
% 31.82/20.64 inference(bind,[status(th)],[])).
% 31.82/20.64 tff(389,plain,
% 31.82/20.64 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6))) <=> ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 31.82/20.64 inference(quant_intro,[status(thm)],[388])).
% 31.82/20.64 tff(390,axiom,(![X4: $i, X3: $i, X2: $i, X1: $i] : ((((((((((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(X3, sk_c7) = sk_c6))) | (~(inverse(X3) = sk_c7))) | (~(multiply(X4, sk_c7) = sk_c5))) | (~(inverse(X4) = sk_c7))) | (~(multiply(sk_c6, sk_c7) = sk_c5))) | (~(inverse(X1) = sk_c7))) | (~(multiply(X1, sk_c6) = sk_c7))) | (~(inverse(X2) = sk_c6))) | (~(multiply(X2, sk_c5) = sk_c6)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_26')).
% 31.82/20.64 tff(391,plain,
% 31.82/20.64 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 31.82/20.64 inference(modus_ponens,[status(thm)],[390, 389])).
% 31.82/20.64 tff(392,plain,
% 31.82/20.64 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 31.82/20.64 inference(modus_ponens,[status(thm)],[391, 387])).
% 31.82/20.64 tff(393,plain,(
% 31.82/20.64 ![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 31.82/20.64 inference(skolemize,[status(sab)],[392])).
% 31.82/20.64 tff(394,plain,
% 31.82/20.64 (![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))),
% 31.82/20.64 inference(modus_ponens,[status(thm)],[393, 386])).
% 31.82/20.64 tff(395,plain,
% 31.82/20.64 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)))),
% 31.82/20.64 inference(rewrite,[status(thm)],[])).
% 31.82/20.64 tff(396,plain,
% 31.82/20.64 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)))),
% 31.82/20.64 inference(rewrite,[status(thm)],[])).
% 31.82/20.64 tff(397,plain,
% 31.82/20.64 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6))))),
% 31.82/20.64 inference(monotonicity,[status(thm)],[396])).
% 31.82/20.64 tff(398,plain,
% 31.82/20.64 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)))),
% 31.82/20.64 inference(transitivity,[status(thm)],[397, 395])).
% 31.82/20.64 tff(399,plain,
% 31.82/20.64 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c5)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c6)))),
% 31.82/20.64 inference(quant_inst,[status(thm)],[])).
% 31.82/20.64 tff(400,plain,
% 31.82/20.64 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c5)) | (~(multiply(sk_c1, sk_c7) = sk_c6)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6))),
% 31.82/20.64 inference(modus_ponens,[status(thm)],[399, 398])).
% 31.82/20.64 tff(401,plain,
% 31.82/20.64 ((~(multiply(sk_c1, sk_c6) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c5)) | (~(multiply(sk_c2, sk_c5) = sk_c6)) | (~(inverse(sk_c2) = sk_c6))),
% 31.82/20.64 inference(unit_resolution,[status(thm)],[400, 213, 111, 234, 220, 394])).
% 31.82/20.64 tff(402,plain,
% 31.82/20.64 ($false),
% 31.82/20.64 inference(unit_resolution,[status(thm)],[401, 384, 372, 379, 373])).
% 31.82/20.64 tff(403,plain,(inverse(sk_c3) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 31.82/20.64 tff(404,plain,
% 31.82/20.64 (sk_c7 = inverse(sk_c3)),
% 31.82/20.64 inference(symmetry,[status(thm)],[403])).
% 31.82/20.64 tff(405,plain,
% 31.82/20.64 (multiply(sk_c7, sk_c3) = multiply(inverse(sk_c3), sk_c3)),
% 31.82/20.64 inference(monotonicity,[status(thm)],[404])).
% 31.82/20.64 tff(406,plain,
% 31.82/20.64 (multiply(inverse(sk_c3), sk_c3) = multiply(sk_c7, sk_c3)),
% 31.82/20.64 inference(symmetry,[status(thm)],[405])).
% 31.82/20.64 tff(407,plain,
% 31.82/20.64 (identity = multiply(sk_c7, sk_c3)),
% 31.82/20.64 inference(transitivity,[status(thm)],[206, 406])).
% 31.82/20.64 tff(408,plain,
% 31.82/20.64 (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 31.82/20.64 inference(monotonicity,[status(thm)],[407])).
% 31.82/20.64 tff(409,plain,
% 31.82/20.64 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 31.82/20.64 inference(symmetry,[status(thm)],[408])).
% 31.82/20.64 tff(410,plain,
% 31.82/20.64 ((~![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)))),
% 31.82/20.64 inference(quant_inst,[status(thm)],[])).
% 31.82/20.64 tff(411,plain,
% 31.82/20.64 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c7))),
% 31.82/20.64 inference(unit_resolution,[status(thm)],[410, 25])).
% 31.82/20.64 tff(412,plain,
% 31.82/20.64 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c7, sk_c3), sk_c7)),
% 31.82/20.64 inference(symmetry,[status(thm)],[411])).
% 31.82/20.64 tff(413,plain,
% 31.82/20.64 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c7),
% 31.82/20.64 inference(transitivity,[status(thm)],[412, 409, 215])).
% 31.82/20.64 tff(414,plain,
% 31.82/20.64 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c7)), sk_c6) = multiply(sk_c7, sk_c6)),
% 31.82/20.64 inference(monotonicity,[status(thm)],[413])).
% 31.82/20.64 tff(415,plain,
% 31.82/20.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, sk_c7)), sk_c6) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), sk_c6)))),
% 31.82/20.64 inference(quant_inst,[status(thm)],[])).
% 31.82/20.64 tff(416,plain,
% 31.82/20.64 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c7)), sk_c6) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), sk_c6))),
% 31.82/20.64 inference(unit_resolution,[status(thm)],[415, 25])).
% 31.82/20.64 tff(417,plain,
% 31.82/20.64 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), sk_c6)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c7)), sk_c6)),
% 31.82/20.64 inference(symmetry,[status(thm)],[416])).
% 31.82/20.64 tff(418,plain,
% 31.82/20.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), sk_c6) = multiply(sk_c3, multiply(sk_c7, sk_c6)))),
% 31.82/20.64 inference(quant_inst,[status(thm)],[])).
% 31.82/20.64 tff(419,plain,
% 31.82/20.64 (multiply(multiply(sk_c3, sk_c7), sk_c6) = multiply(sk_c3, multiply(sk_c7, sk_c6))),
% 31.82/20.64 inference(unit_resolution,[status(thm)],[418, 25])).
% 31.82/20.64 tff(420,plain,
% 31.82/20.64 (multiply(sk_c3, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c3, sk_c7), sk_c6)),
% 31.82/20.64 inference(symmetry,[status(thm)],[419])).
% 31.82/20.64 tff(421,plain,
% 31.82/20.64 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c7, sk_c6))),
% 31.82/20.64 inference(monotonicity,[status(thm)],[330])).
% 31.82/20.64 tff(422,plain,
% 31.82/20.64 (multiply(sk_c3, multiply(sk_c6, sk_c7)) = multiply(sk_c3, sk_c5)),
% 31.82/20.64 inference(monotonicity,[status(thm)],[111])).
% 31.82/20.64 tff(423,assumption,(~(multiply(sk_c1, sk_c7) = sk_c6)), introduced(assumption)).
% 31.82/20.64 tff(424,plain,
% 31.82/20.64 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 31.82/20.64 inference(rewrite,[status(thm)],[])).
% 31.82/20.64 tff(425,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_8')).
% 31.82/20.64 tff(426,plain,
% 31.82/20.64 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.82/20.64 inference(modus_ponens,[status(thm)],[425, 424])).
% 31.82/20.64 tff(427,plain,
% 31.82/20.64 (multiply(sk_c3, sk_c6) = sk_c7),
% 31.82/20.64 inference(unit_resolution,[status(thm)],[426, 423])).
% 31.82/20.64 tff(428,plain,
% 31.82/20.64 (sk_c7 = multiply(sk_c3, sk_c6)),
% 31.82/20.64 inference(symmetry,[status(thm)],[427])).
% 31.82/20.64 tff(429,plain,
% 31.82/20.64 (multiply(sk_c7, multiply(sk_c3, sk_c6)) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 31.82/20.64 inference(monotonicity,[status(thm)],[428, 427])).
% 31.82/20.64 tff(430,plain,
% 31.82/20.64 (multiply(identity, sk_c6) = multiply(multiply(sk_c7, sk_c3), sk_c6)),
% 31.82/20.64 inference(monotonicity,[status(thm)],[407])).
% 31.82/20.64 tff(431,plain,
% 31.82/20.64 (sk_c6 = multiply(identity, sk_c6)),
% 31.82/20.64 inference(symmetry,[status(thm)],[114])).
% 31.82/20.64 tff(432,plain,
% 31.82/20.64 (((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 31.82/20.64 inference(rewrite,[status(thm)],[])).
% 31.82/20.64 tff(433,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_10')).
% 31.82/20.64 tff(434,plain,
% 31.82/20.64 ((multiply(sk_c1, sk_c7) = sk_c6) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.82/20.64 inference(modus_ponens,[status(thm)],[433, 432])).
% 31.82/20.64 tff(435,plain,
% 31.82/20.64 (multiply(sk_c4, sk_c5) = sk_c6),
% 31.82/20.64 inference(unit_resolution,[status(thm)],[434, 423])).
% 31.82/20.64 tff(436,plain,
% 31.82/20.64 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(identity, sk_c7))),
% 31.82/20.64 inference(monotonicity,[status(thm)],[240])).
% 31.82/20.64 tff(437,plain,
% 31.82/20.64 (multiply(sk_c6, multiply(identity, sk_c7)) = multiply(sk_c6, sk_c7)),
% 31.82/20.64 inference(symmetry,[status(thm)],[436])).
% 31.82/20.64 tff(438,plain,
% 31.82/20.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), sk_c7) = multiply(sk_c6, multiply(identity, sk_c7)))),
% 31.82/20.64 inference(quant_inst,[status(thm)],[])).
% 31.82/20.64 tff(439,plain,
% 31.82/20.64 (multiply(multiply(sk_c6, identity), sk_c7) = multiply(sk_c6, multiply(identity, sk_c7))),
% 31.82/20.64 inference(unit_resolution,[status(thm)],[438, 25])).
% 31.82/20.64 tff(440,plain,
% 31.82/20.64 (multiply(multiply(sk_c6, identity), sk_c7) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.64 inference(monotonicity,[status(thm)],[275])).
% 31.82/20.64 tff(441,plain,
% 31.82/20.64 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(sk_c6, identity), sk_c7)),
% 31.82/20.64 inference(symmetry,[status(thm)],[440])).
% 31.82/20.64 tff(442,plain,
% 31.82/20.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c3)))),
% 31.82/20.64 inference(quant_inst,[status(thm)],[])).
% 31.82/20.64 tff(443,plain,
% 31.82/20.64 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c3))),
% 31.82/20.64 inference(unit_resolution,[status(thm)],[442, 25])).
% 31.82/20.64 tff(444,plain,
% 31.82/20.64 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c3)) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)),
% 31.82/20.64 inference(symmetry,[status(thm)],[443])).
% 31.82/20.64 tff(445,plain,
% 31.82/20.64 (multiply(sk_c7, sk_c3) = identity),
% 31.82/20.64 inference(transitivity,[status(thm)],[405, 116])).
% 31.82/20.64 tff(446,plain,
% 31.82/20.64 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c6, identity), identity)),
% 31.82/20.64 inference(monotonicity,[status(thm)],[274, 445])).
% 31.82/20.64 tff(447,plain,
% 31.82/20.64 (multiply(multiply(sk_c6, identity), identity) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c3))),
% 31.82/20.64 inference(symmetry,[status(thm)],[446])).
% 31.82/20.64 tff(448,plain,
% 31.82/20.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), identity) = multiply(sk_c6, multiply(identity, identity)))),
% 31.82/20.64 inference(quant_inst,[status(thm)],[])).
% 31.82/20.64 tff(449,plain,
% 31.82/20.64 (multiply(multiply(sk_c6, identity), identity) = multiply(sk_c6, multiply(identity, identity))),
% 31.82/20.64 inference(unit_resolution,[status(thm)],[448, 25])).
% 31.82/20.64 tff(450,plain,
% 31.82/20.64 (multiply(sk_c6, multiply(identity, identity)) = multiply(multiply(sk_c6, identity), identity)),
% 31.82/20.64 inference(symmetry,[status(thm)],[449])).
% 31.82/20.64 tff(451,plain,
% 31.82/20.64 (multiply(sk_c6, multiply(identity, identity)) = multiply(sk_c6, identity)),
% 31.82/20.64 inference(monotonicity,[status(thm)],[89])).
% 31.82/20.64 tff(452,plain,
% 31.82/20.64 (multiply(sk_c6, identity) = multiply(sk_c6, multiply(identity, identity))),
% 31.82/20.64 inference(symmetry,[status(thm)],[451])).
% 31.82/20.64 tff(453,plain,
% 31.82/20.64 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)),
% 31.82/20.64 inference(transitivity,[status(thm)],[274, 452, 450, 447, 444])).
% 31.82/20.64 tff(454,plain,
% 31.82/20.64 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7)),
% 31.82/20.64 inference(monotonicity,[status(thm)],[453])).
% 31.82/20.64 tff(455,plain,
% 31.82/20.64 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.64 inference(symmetry,[status(thm)],[454])).
% 31.82/20.64 tff(456,plain,
% 31.82/20.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.82/20.64 inference(quant_inst,[status(thm)],[])).
% 31.82/20.64 tff(457,plain,
% 31.82/20.64 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.64 inference(unit_resolution,[status(thm)],[456, 25])).
% 31.82/20.64 tff(458,plain,
% 31.82/20.64 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7)),
% 31.82/20.64 inference(symmetry,[status(thm)],[457])).
% 31.82/20.64 tff(459,plain,
% 31.82/20.64 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = sk_c5),
% 31.82/20.64 inference(transitivity,[status(thm)],[458, 455, 441, 439, 437, 111])).
% 31.82/20.64 tff(460,plain,
% 31.82/20.64 (multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(sk_c4, sk_c5)),
% 31.82/20.64 inference(monotonicity,[status(thm)],[459])).
% 31.82/20.64 tff(461,plain,
% 31.82/20.64 (multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c3, sk_c7), sk_c6)),
% 31.82/20.64 inference(transitivity,[status(thm)],[460, 435, 431, 430, 134, 429, 151, 422, 421, 420])).
% 31.82/20.64 tff(462,plain,
% 31.82/20.64 (multiply(sk_c7, multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), sk_c6))),
% 31.82/20.64 inference(monotonicity,[status(thm)],[461])).
% 31.82/20.64 tff(463,plain,
% 31.82/20.64 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(sk_c7, multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(464,plain,
% 31.82/20.65 (multiply(multiply(sk_c7, sk_c4), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(sk_c7, multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[463, 25])).
% 31.82/20.65 tff(465,plain,
% 31.82/20.65 (multiply(sk_c6, multiply(identity, sk_c7)) = multiply(multiply(sk_c6, identity), sk_c7)),
% 31.82/20.65 inference(symmetry,[status(thm)],[439])).
% 31.82/20.65 tff(466,plain,
% 31.82/20.65 (multiply(sk_c7, sk_c6) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.65 inference(transitivity,[status(thm)],[213, 112, 436, 465, 440, 454, 457])).
% 31.82/20.65 tff(467,plain,
% 31.82/20.65 (multiply(multiply(sk_c7, sk_c3), sk_c6) = multiply(identity, sk_c6)),
% 31.82/20.65 inference(symmetry,[status(thm)],[430])).
% 31.82/20.65 tff(468,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c3, sk_c6))),
% 31.82/20.65 inference(symmetry,[status(thm)],[429])).
% 31.82/20.65 tff(469,plain,
% 31.82/20.65 (multiply(sk_c3, sk_c5) = multiply(sk_c3, multiply(sk_c6, sk_c7))),
% 31.82/20.65 inference(symmetry,[status(thm)],[422])).
% 31.82/20.65 tff(470,plain,
% 31.82/20.65 (multiply(sk_c3, multiply(sk_c7, sk_c6)) = multiply(sk_c3, sk_c5)),
% 31.82/20.65 inference(symmetry,[status(thm)],[421])).
% 31.82/20.65 tff(471,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, sk_c7), sk_c6) = sk_c6),
% 31.82/20.65 inference(transitivity,[status(thm)],[419, 470, 469, 152, 468, 135, 467, 114])).
% 31.82/20.65 tff(472,plain,
% 31.82/20.65 (multiply(sk_c3, multiply(multiply(sk_c3, sk_c7), sk_c6)) = multiply(sk_c3, sk_c6)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[471])).
% 31.82/20.65 tff(473,plain,
% 31.82/20.65 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(multiply(sk_c3, sk_c7), sk_c6))),
% 31.82/20.65 inference(symmetry,[status(thm)],[472])).
% 31.82/20.65 tff(474,plain,
% 31.82/20.65 (sk_c7 = multiply(sk_c3, multiply(multiply(sk_c3, sk_c7), sk_c6))),
% 31.82/20.65 inference(transitivity,[status(thm)],[428, 473])).
% 31.82/20.65 tff(475,plain,
% 31.82/20.65 (multiply(sk_c7, sk_c4) = multiply(multiply(sk_c3, multiply(multiply(sk_c3, sk_c7), sk_c6)), sk_c4)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[474])).
% 31.82/20.65 tff(476,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, multiply(multiply(sk_c3, sk_c7), sk_c6)), sk_c4) = multiply(sk_c7, sk_c4)),
% 31.82/20.65 inference(symmetry,[status(thm)],[475])).
% 31.82/20.65 tff(477,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(multiply(sk_c3, sk_c7), sk_c6)), sk_c4) = multiply(sk_c3, multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c4)))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(478,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, multiply(multiply(sk_c3, sk_c7), sk_c6)), sk_c4) = multiply(sk_c3, multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c4))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[477, 25])).
% 31.82/20.65 tff(479,plain,
% 31.82/20.65 (multiply(sk_c3, multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c4)) = multiply(multiply(sk_c3, multiply(multiply(sk_c3, sk_c7), sk_c6)), sk_c4)),
% 31.82/20.65 inference(symmetry,[status(thm)],[478])).
% 31.82/20.65 tff(480,plain,
% 31.82/20.65 (((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 31.82/20.65 inference(rewrite,[status(thm)],[])).
% 31.82/20.65 tff(481,plain,
% 31.82/20.65 (((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6))),
% 31.82/20.65 inference(rewrite,[status(thm)],[])).
% 31.82/20.65 tff(482,axiom,((multiply(sk_c1, sk_c7) = sk_c6) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_9')).
% 31.82/20.65 tff(483,plain,
% 31.82/20.65 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 31.82/20.65 inference(modus_ponens,[status(thm)],[482, 481])).
% 31.82/20.65 tff(484,plain,
% 31.82/20.65 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c6)),
% 31.82/20.65 inference(modus_ponens,[status(thm)],[483, 480])).
% 31.82/20.65 tff(485,plain,
% 31.82/20.65 (inverse(sk_c4) = sk_c6),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[484, 423])).
% 31.82/20.65 tff(486,plain,
% 31.82/20.65 (sk_c6 = inverse(sk_c4)),
% 31.82/20.65 inference(symmetry,[status(thm)],[485])).
% 31.82/20.65 tff(487,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, sk_c7), sk_c6) = inverse(sk_c4)),
% 31.82/20.65 inference(transitivity,[status(thm)],[419, 470, 469, 152, 468, 135, 467, 114, 486])).
% 31.82/20.65 tff(488,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[487])).
% 31.82/20.65 tff(489,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c4) = identity),
% 31.82/20.65 inference(transitivity,[status(thm)],[488, 171])).
% 31.82/20.65 tff(490,plain,
% 31.82/20.65 (multiply(sk_c3, multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c4)) = multiply(sk_c3, identity)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[489])).
% 31.82/20.65 tff(491,plain,
% 31.82/20.65 (multiply(sk_c3, identity) = multiply(sk_c3, multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c4))),
% 31.82/20.65 inference(symmetry,[status(thm)],[490])).
% 31.82/20.65 tff(492,plain,
% 31.82/20.65 (multiply(multiply(sk_c7, sk_c3), identity) = multiply(identity, identity)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[445])).
% 31.82/20.65 tff(493,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), identity) = multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(494,plain,
% 31.82/20.65 (multiply(multiply(sk_c7, sk_c3), identity) = multiply(sk_c7, multiply(sk_c3, identity))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[493, 25])).
% 31.82/20.65 tff(495,plain,
% 31.82/20.65 (multiply(sk_c7, multiply(sk_c3, identity)) = multiply(multiply(sk_c7, sk_c3), identity)),
% 31.82/20.65 inference(symmetry,[status(thm)],[494])).
% 31.82/20.65 tff(496,plain,
% 31.82/20.65 (multiply(sk_c7, multiply(sk_c3, identity)) = identity),
% 31.82/20.65 inference(transitivity,[status(thm)],[495, 492, 89])).
% 31.82/20.65 tff(497,plain,
% 31.82/20.65 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))) = multiply(sk_c3, identity)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[496])).
% 31.82/20.65 tff(498,plain,
% 31.82/20.65 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))) = multiply(sk_c7, sk_c4)),
% 31.82/20.65 inference(transitivity,[status(thm)],[497, 491, 479, 476])).
% 31.82/20.65 tff(499,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c7, sk_c4), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[498, 466])).
% 31.82/20.65 tff(500,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c7), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, sk_c6)))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(501,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c7), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, sk_c6))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[500, 25])).
% 31.82/20.65 tff(502,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c7) = multiply(multiply(sk_c3, identity), sk_c7)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[497])).
% 31.82/20.65 tff(503,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, identity), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c7)),
% 31.82/20.65 inference(symmetry,[status(thm)],[502])).
% 31.82/20.65 tff(504,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), sk_c7) = multiply(sk_c3, multiply(identity, sk_c7)))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(505,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, identity), sk_c7) = multiply(sk_c3, multiply(identity, sk_c7))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[504, 25])).
% 31.82/20.65 tff(506,plain,
% 31.82/20.65 (multiply(sk_c3, multiply(identity, sk_c7)) = multiply(multiply(sk_c3, identity), sk_c7)),
% 31.82/20.65 inference(symmetry,[status(thm)],[505])).
% 31.82/20.65 tff(507,plain,
% 31.82/20.65 (multiply(sk_c3, multiply(identity, sk_c7)) = multiply(sk_c3, sk_c7)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[215])).
% 31.82/20.65 tff(508,plain,
% 31.82/20.65 (multiply(sk_c3, sk_c7) = multiply(sk_c3, multiply(identity, sk_c7))),
% 31.82/20.65 inference(symmetry,[status(thm)],[507])).
% 31.82/20.65 tff(509,plain,
% 31.82/20.65 (multiply(sk_c3, sk_c7) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c7)),
% 31.82/20.65 inference(transitivity,[status(thm)],[508, 506, 503])).
% 31.82/20.65 tff(510,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, sk_c7), sk_c6) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c7), sk_c6)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[509])).
% 31.82/20.65 tff(511,plain,
% 31.82/20.65 (sk_c6 = sk_c5),
% 31.82/20.65 inference(transitivity,[status(thm)],[431, 430, 134, 429, 151, 422, 421, 420, 510, 501, 499, 464, 462, 417, 414, 213])).
% 31.82/20.65 tff(512,plain,
% 31.82/20.65 ((multiply(sk_c3, sk_c7) = sk_c6) <=> (multiply(sk_c3, sk_c7) = sk_c5)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[511])).
% 31.82/20.65 tff(513,plain,
% 31.82/20.65 ((multiply(sk_c3, sk_c7) = sk_c5) <=> (multiply(sk_c3, sk_c7) = sk_c6)),
% 31.82/20.65 inference(symmetry,[status(thm)],[512])).
% 31.82/20.65 tff(514,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.65 inference(transitivity,[status(thm)],[458, 455])).
% 31.82/20.65 tff(515,plain,
% 31.82/20.65 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[514])).
% 31.82/20.65 tff(516,plain,
% 31.82/20.65 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, sk_c7)) = multiply(sk_c7, sk_c6)),
% 31.82/20.65 inference(transitivity,[status(thm)],[515, 458, 455, 441, 439, 437, 111, 330])).
% 31.82/20.65 tff(517,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, sk_c6))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[516])).
% 31.82/20.65 tff(518,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, sk_c7))))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(519,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, sk_c7)))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[518, 25])).
% 31.82/20.65 tff(520,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(sk_c7, sk_c6)),
% 31.82/20.65 inference(transitivity,[status(thm)],[458, 455, 441, 439, 437, 111, 330])).
% 31.82/20.65 tff(521,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, sk_c6))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[520])).
% 31.82/20.65 tff(522,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.82/20.65 inference(symmetry,[status(thm)],[521])).
% 31.82/20.65 tff(523,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, sk_c7), sk_c6) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.82/20.65 inference(transitivity,[status(thm)],[510, 501, 522])).
% 31.82/20.65 tff(524,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(sk_c3, sk_c7))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[523])).
% 31.82/20.65 tff(525,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c3) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(526,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c3) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[525, 25])).
% 31.82/20.65 tff(527,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c3)),
% 31.82/20.65 inference(symmetry,[status(thm)],[526])).
% 31.82/20.65 tff(528,plain,
% 31.82/20.65 (multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))) = multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c3))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[527])).
% 31.82/20.65 tff(529,plain,
% 31.82/20.65 (multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c3)) = multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)))),
% 31.82/20.65 inference(symmetry,[status(thm)],[528])).
% 31.82/20.65 tff(530,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), sk_c6)), sk_c3) = multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c3)))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(531,plain,
% 31.82/20.65 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), sk_c6)), sk_c3) = multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c3))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[530, 25])).
% 31.82/20.65 tff(532,plain,
% 31.82/20.65 (multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), sk_c6)) = multiply(inverse(sk_c6), sk_c6)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[471])).
% 31.82/20.65 tff(533,plain,
% 31.82/20.65 (multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), sk_c6)) = identity),
% 31.82/20.65 inference(transitivity,[status(thm)],[532, 46])).
% 31.82/20.65 tff(534,plain,
% 31.82/20.65 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), sk_c6)), sk_c3) = multiply(identity, sk_c3)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[533])).
% 31.82/20.65 tff(535,plain,
% 31.82/20.65 (multiply(identity, sk_c3) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), sk_c6)), sk_c3)),
% 31.82/20.65 inference(symmetry,[status(thm)],[534])).
% 31.82/20.65 tff(536,plain,
% 31.82/20.65 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(537,plain,
% 31.82/20.65 (multiply(identity, sk_c3) = sk_c3),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[536, 57])).
% 31.82/20.65 tff(538,plain,
% 31.82/20.65 (sk_c3 = multiply(identity, sk_c3)),
% 31.82/20.65 inference(symmetry,[status(thm)],[537])).
% 31.82/20.65 tff(539,plain,
% 31.82/20.65 (sk_c3 = multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)))),
% 31.82/20.65 inference(transitivity,[status(thm)],[538, 535, 531, 529])).
% 31.82/20.65 tff(540,plain,
% 31.82/20.65 (multiply(sk_c3, sk_c7) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))), sk_c7)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[539])).
% 31.82/20.65 tff(541,plain,
% 31.82/20.65 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))), sk_c7) = multiply(sk_c3, sk_c7)),
% 31.82/20.65 inference(symmetry,[status(thm)],[540])).
% 31.82/20.65 tff(542,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))), sk_c7) = multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), sk_c7)))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(543,plain,
% 31.82/20.65 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))), sk_c7) = multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), sk_c7))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[542, 25])).
% 31.82/20.65 tff(544,plain,
% 31.82/20.65 (multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), sk_c7)) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))), sk_c7)),
% 31.82/20.65 inference(symmetry,[status(thm)],[543])).
% 31.82/20.65 tff(545,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c7), sk_c6) = multiply(multiply(sk_c3, sk_c7), sk_c6)),
% 31.82/20.65 inference(symmetry,[status(thm)],[510])).
% 31.82/20.65 tff(546,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, sk_c6)) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c7), sk_c6)),
% 31.82/20.65 inference(symmetry,[status(thm)],[501])).
% 31.82/20.65 tff(547,plain,
% 31.82/20.65 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(sk_c7, sk_c6)),
% 31.82/20.65 inference(transitivity,[status(thm)],[441, 439, 437, 111, 330])).
% 31.82/20.65 tff(548,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, sk_c6))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[547])).
% 31.82/20.65 tff(549,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(550,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[549, 25])).
% 31.82/20.65 tff(551,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c3) = multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(552,plain,
% 31.82/20.65 (multiply(multiply(sk_c7, sk_c6), sk_c3) = multiply(sk_c7, multiply(sk_c6, sk_c3))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[551, 25])).
% 31.82/20.65 tff(553,plain,
% 31.82/20.65 (multiply(sk_c7, sk_c6) = multiply(sk_c6, sk_c7)),
% 31.82/20.65 inference(transitivity,[status(thm)],[213, 112])).
% 31.82/20.65 tff(554,plain,
% 31.82/20.65 (multiply(multiply(sk_c7, sk_c6), sk_c3) = multiply(multiply(sk_c6, sk_c7), sk_c3)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[553])).
% 31.82/20.65 tff(555,plain,
% 31.82/20.65 (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(multiply(sk_c7, sk_c6), sk_c3)),
% 31.82/20.65 inference(symmetry,[status(thm)],[554])).
% 31.82/20.65 tff(556,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c7, sk_c3)))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(557,plain,
% 31.82/20.65 (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[556, 25])).
% 31.82/20.65 tff(558,plain,
% 31.82/20.65 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c6, sk_c7), sk_c3)),
% 31.82/20.65 inference(symmetry,[status(thm)],[557])).
% 31.82/20.65 tff(559,plain,
% 31.82/20.65 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(sk_c6, identity)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[445])).
% 31.82/20.65 tff(560,plain,
% 31.82/20.65 (multiply(sk_c6, identity) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 31.82/20.65 inference(symmetry,[status(thm)],[559])).
% 31.82/20.65 tff(561,plain,
% 31.82/20.65 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c7, multiply(sk_c6, sk_c3))),
% 31.82/20.65 inference(transitivity,[status(thm)],[274, 560, 558, 555, 552])).
% 31.82/20.65 tff(562,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[561])).
% 31.82/20.65 tff(563,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.65 inference(symmetry,[status(thm)],[562])).
% 31.82/20.65 tff(564,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, multiply(sk_c6, sk_c3))))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(565,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[564, 25])).
% 31.82/20.65 tff(566,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c7), multiply(sk_c6, sk_c3))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[509])).
% 31.82/20.65 tff(567,plain,
% 31.82/20.65 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.65 inference(transitivity,[status(thm)],[566, 565, 563])).
% 31.82/20.65 tff(568,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), sk_c7) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))), sk_c7)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[567])).
% 31.82/20.65 tff(569,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), sk_c7) = sk_c6),
% 31.82/20.65 inference(transitivity,[status(thm)],[568, 550, 548, 546, 545, 419, 470, 469, 152, 468, 135, 467, 114])).
% 31.82/20.65 tff(570,plain,
% 31.82/20.65 (multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), sk_c7)) = multiply(inverse(sk_c6), sk_c6)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[569])).
% 31.82/20.65 tff(571,plain,
% 31.82/20.65 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), sk_c7))),
% 31.82/20.65 inference(symmetry,[status(thm)],[570])).
% 31.82/20.65 tff(572,plain,
% 31.82/20.65 (identity = multiply(sk_c3, sk_c7)),
% 31.82/20.65 inference(transitivity,[status(thm)],[49, 571, 544, 541])).
% 31.82/20.65 tff(573,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), identity) = multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, sk_c7))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[572])).
% 31.82/20.65 tff(574,plain,
% 31.82/20.65 (sk_c6 = multiply(multiply(sk_c3, sk_c7), sk_c6)),
% 31.82/20.65 inference(transitivity,[status(thm)],[431, 430, 134, 429, 151, 422, 421, 420])).
% 31.82/20.65 tff(575,plain,
% 31.82/20.65 (multiply(sk_c6, identity) = multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), identity)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[574])).
% 31.82/20.65 tff(576,plain,
% 31.82/20.65 (multiply(sk_c7, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c7, sk_c6), sk_c3)),
% 31.82/20.65 inference(symmetry,[status(thm)],[552])).
% 31.82/20.65 tff(577,plain,
% 31.82/20.65 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(sk_c7, multiply(sk_c6, sk_c3))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[413])).
% 31.82/20.65 tff(578,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(579,plain,
% 31.82/20.65 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[578, 25])).
% 31.82/20.65 tff(580,plain,
% 31.82/20.65 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3))),
% 31.82/20.65 inference(symmetry,[status(thm)],[579])).
% 31.82/20.65 tff(581,plain,
% 31.82/20.65 (multiply(multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), sk_c3) = multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), sk_c3)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[461])).
% 31.82/20.65 tff(582,plain,
% 31.82/20.65 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), sk_c3) = multiply(sk_c4, multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c3)))),
% 31.82/20.65 inference(quant_inst,[status(thm)],[])).
% 31.82/20.65 tff(583,plain,
% 31.82/20.65 (multiply(multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), sk_c3) = multiply(sk_c4, multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c3))),
% 31.82/20.65 inference(unit_resolution,[status(thm)],[582, 25])).
% 31.82/20.65 tff(584,plain,
% 31.82/20.65 (multiply(sk_c4, multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c3)) = multiply(multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), sk_c3)),
% 31.82/20.65 inference(symmetry,[status(thm)],[583])).
% 31.82/20.65 tff(585,plain,
% 31.82/20.65 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c3) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)),
% 31.82/20.65 inference(monotonicity,[status(thm)],[514])).
% 31.82/20.65 tff(586,plain,
% 31.82/20.65 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c3)),
% 31.82/20.65 inference(symmetry,[status(thm)],[585])).
% 31.82/20.65 tff(587,plain,
% 31.82/20.65 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c3)),
% 31.82/20.65 inference(transitivity,[status(thm)],[274, 452, 450, 447, 444, 586])).
% 31.82/20.65 tff(588,plain,
% 31.82/20.65 (multiply(sk_c4, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c4, multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c3))),
% 31.82/20.65 inference(monotonicity,[status(thm)],[587])).
% 31.82/20.65 tff(589,plain,
% 31.82/20.65 (multiply(sk_c4, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))),
% 31.82/20.66 inference(transitivity,[status(thm)],[588, 584, 581, 526])).
% 31.82/20.66 tff(590,plain,
% 31.82/20.66 (multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)))),
% 31.82/20.66 inference(monotonicity,[status(thm)],[589])).
% 31.82/20.66 tff(591,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(592,plain,
% 31.82/20.66 (multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c7, multiply(sk_c4, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[591, 25])).
% 31.82/20.66 tff(593,plain,
% 31.82/20.66 (multiply(sk_c7, multiply(sk_c6, sk_c3)) = multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.66 inference(transitivity,[status(thm)],[576, 554, 557, 559, 275])).
% 31.82/20.66 tff(594,plain,
% 31.82/20.66 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c7, sk_c4), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.66 inference(monotonicity,[status(thm)],[498, 593])).
% 31.82/20.66 tff(595,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c6, sk_c3))))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(596,plain,
% 31.82/20.66 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[595, 25])).
% 31.82/20.66 tff(597,plain,
% 31.82/20.66 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))),
% 31.82/20.66 inference(symmetry,[status(thm)],[596])).
% 31.82/20.66 tff(598,plain,
% 31.82/20.66 (multiply(sk_c6, identity) = multiply(sk_c7, multiply(sk_c6, sk_c3))),
% 31.82/20.66 inference(transitivity,[status(thm)],[560, 558, 555, 552])).
% 31.82/20.66 tff(599,plain,
% 31.82/20.66 (multiply(sk_c3, multiply(sk_c6, identity)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.82/20.66 inference(monotonicity,[status(thm)],[598])).
% 31.82/20.66 tff(600,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c6), identity) = multiply(sk_c3, multiply(sk_c6, identity)))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(601,plain,
% 31.82/20.66 (multiply(multiply(sk_c3, sk_c6), identity) = multiply(sk_c3, multiply(sk_c6, identity))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[600, 25])).
% 31.82/20.66 tff(602,plain,
% 31.82/20.66 (multiply(sk_c7, identity) = multiply(multiply(sk_c3, sk_c6), identity)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[428])).
% 31.82/20.66 tff(603,plain,
% 31.82/20.66 (multiply(sk_c3, sk_c7) = identity),
% 31.82/20.66 inference(transitivity,[status(thm)],[540, 543, 570, 46])).
% 31.82/20.66 tff(604,plain,
% 31.82/20.66 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = multiply(sk_c7, identity)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[603])).
% 31.82/20.66 tff(605,plain,
% 31.82/20.66 (multiply(multiply(inverse(sk_c6), sk_c6), identity) = multiply(identity, identity)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[46])).
% 31.82/20.66 tff(606,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), sk_c6), identity) = multiply(inverse(sk_c6), multiply(sk_c6, identity)))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(607,plain,
% 31.82/20.66 (multiply(multiply(inverse(sk_c6), sk_c6), identity) = multiply(inverse(sk_c6), multiply(sk_c6, identity))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[606, 25])).
% 31.82/20.66 tff(608,plain,
% 31.82/20.66 (multiply(inverse(sk_c6), multiply(sk_c6, identity)) = multiply(multiply(inverse(sk_c6), sk_c6), identity)),
% 31.82/20.66 inference(symmetry,[status(thm)],[607])).
% 31.82/20.66 tff(609,plain,
% 31.82/20.66 (multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(inverse(sk_c6), multiply(sk_c6, identity))),
% 31.82/20.66 inference(monotonicity,[status(thm)],[274])).
% 31.82/20.66 tff(610,plain,
% 31.82/20.66 (multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = identity),
% 31.82/20.66 inference(transitivity,[status(thm)],[609, 608, 605, 89])).
% 31.82/20.66 tff(611,plain,
% 31.82/20.66 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(identity, sk_c7)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[610])).
% 31.82/20.66 tff(612,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(613,plain,
% 31.82/20.66 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[612, 25])).
% 31.82/20.66 tff(614,plain,
% 31.82/20.66 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))), sk_c7)),
% 31.82/20.66 inference(symmetry,[status(thm)],[613])).
% 31.82/20.66 tff(615,plain,
% 31.82/20.66 (sk_c6 = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.66 inference(transitivity,[status(thm)],[431, 430, 134, 429, 151, 422, 421, 420, 510, 501, 499, 464, 462, 417, 414, 213, 112, 436, 465, 440])).
% 31.82/20.66 tff(616,plain,
% 31.82/20.66 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.66 inference(monotonicity,[status(thm)],[615])).
% 31.82/20.66 tff(617,plain,
% 31.82/20.66 (multiply(sk_c3, sk_c7) = sk_c5),
% 31.82/20.66 inference(transitivity,[status(thm)],[540, 543, 570, 616, 614, 611, 408, 411, 604, 602, 601, 599, 597, 566, 565, 594, 592, 590, 580, 577, 576, 554, 557, 559, 575, 573, 524, 519, 517, 499, 464, 462, 417, 414, 213])).
% 31.82/20.66 tff(618,plain,
% 31.82/20.66 (multiply(sk_c3, sk_c7) = sk_c6),
% 31.82/20.66 inference(modus_ponens,[status(thm)],[617, 513])).
% 31.82/20.66 tff(619,plain,
% 31.82/20.66 (multiply(sk_c3, sk_c5) = sk_c6),
% 31.82/20.66 inference(transitivity,[status(thm)],[469, 152, 468, 135, 467, 114])).
% 31.82/20.66 tff(620,plain,
% 31.82/20.66 (inverse(sk_c3) = sk_c6),
% 31.82/20.66 inference(transitivity,[status(thm)],[403, 240, 408, 411, 604, 602, 601, 599, 597, 566, 565, 594, 592, 590, 580, 577, 576, 554, 557, 559, 575, 573, 524, 519, 517, 546, 545, 419, 470, 469, 152, 468, 135, 467, 114])).
% 31.82/20.66 tff(621,plain,
% 31.82/20.66 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 31.82/20.66 inference(rewrite,[status(thm)],[])).
% 31.82/20.66 tff(622,plain,
% 31.82/20.66 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 31.82/20.66 inference(rewrite,[status(thm)],[])).
% 31.82/20.66 tff(623,plain,
% 31.82/20.66 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7))))),
% 31.82/20.66 inference(monotonicity,[status(thm)],[622])).
% 31.82/20.66 tff(624,plain,
% 31.82/20.66 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7)))),
% 31.82/20.66 inference(transitivity,[status(thm)],[623, 621])).
% 31.82/20.66 tff(625,plain,
% 31.82/20.66 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c6)))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(626,plain,
% 31.82/20.66 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6)) | (~(inverse(sk_c3) = sk_c7))),
% 31.82/20.66 inference(modus_ponens,[status(thm)],[625, 624])).
% 31.82/20.66 tff(627,plain,
% 31.82/20.66 ((~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(multiply(sk_c3, sk_c5) = sk_c6)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[626, 213, 111, 403, 394])).
% 31.82/20.66 tff(628,plain,
% 31.82/20.66 ($false),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[627, 617, 620, 427, 619, 618])).
% 31.82/20.66 tff(629,plain,(multiply(sk_c1, sk_c7) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 31.82/20.66 tff(630,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(631,plain,
% 31.82/20.66 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[630, 25])).
% 31.82/20.66 tff(632,plain,
% 31.82/20.66 (multiply(identity, multiply(sk_c1, identity)) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.66 inference(monotonicity,[status(thm)],[407, 77])).
% 31.82/20.66 tff(633,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c1), identity) = multiply(identity, multiply(sk_c1, identity)))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(634,plain,
% 31.82/20.66 (multiply(multiply(identity, sk_c1), identity) = multiply(identity, multiply(sk_c1, identity))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[633, 25])).
% 31.82/20.66 tff(635,plain,
% 31.82/20.66 (multiply(sk_c1, identity) = multiply(multiply(identity, sk_c1), identity)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[60])).
% 31.82/20.66 tff(636,plain,
% 31.82/20.66 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.66 inference(transitivity,[status(thm)],[76, 635, 634, 632, 631])).
% 31.82/20.66 tff(637,plain,
% 31.82/20.66 (multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.66 inference(monotonicity,[status(thm)],[636])).
% 31.82/20.66 tff(638,plain,
% 31.82/20.66 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.66 inference(symmetry,[status(thm)],[637])).
% 31.82/20.66 tff(639,plain,
% 31.82/20.66 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.66 inference(monotonicity,[status(thm)],[638])).
% 31.82/20.66 tff(640,plain,
% 31.82/20.66 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.66 inference(symmetry,[status(thm)],[639])).
% 31.82/20.66 tff(641,plain,
% 31.82/20.66 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[445])).
% 31.82/20.66 tff(642,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c3)))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(643,plain,
% 31.82/20.66 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c3))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[642, 25])).
% 31.82/20.66 tff(644,plain,
% 31.82/20.66 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(sk_c1, identity), sk_c7)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[76])).
% 31.82/20.66 tff(645,plain,
% 31.82/20.66 (multiply(multiply(sk_c1, identity), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.66 inference(symmetry,[status(thm)],[644])).
% 31.82/20.66 tff(646,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), sk_c7) = multiply(sk_c1, multiply(identity, sk_c7)))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(647,plain,
% 31.82/20.66 (multiply(multiply(sk_c1, identity), sk_c7) = multiply(sk_c1, multiply(identity, sk_c7))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[646, 25])).
% 31.82/20.66 tff(648,plain,
% 31.82/20.66 (multiply(sk_c1, multiply(identity, sk_c7)) = multiply(multiply(sk_c1, identity), sk_c7)),
% 31.82/20.66 inference(symmetry,[status(thm)],[647])).
% 31.82/20.66 tff(649,plain,
% 31.82/20.66 (multiply(sk_c1, multiply(identity, sk_c7)) = multiply(sk_c1, sk_c7)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[215])).
% 31.82/20.66 tff(650,plain,
% 31.82/20.66 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(identity, sk_c7))),
% 31.82/20.66 inference(symmetry,[status(thm)],[649])).
% 31.82/20.66 tff(651,plain,
% 31.82/20.66 (sk_c6 = multiply(sk_c1, sk_c7)),
% 31.82/20.66 inference(symmetry,[status(thm)],[629])).
% 31.82/20.66 tff(652,plain,
% 31.82/20.66 (sk_c6 = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.66 inference(transitivity,[status(thm)],[651, 650, 648, 645])).
% 31.82/20.66 tff(653,plain,
% 31.82/20.66 (multiply(sk_c6, sk_c3) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[652])).
% 31.82/20.66 tff(654,plain,
% 31.82/20.66 (multiply(sk_c6, sk_c3) = multiply(sk_c1, identity)),
% 31.82/20.66 inference(transitivity,[status(thm)],[653, 643, 641, 83, 86, 90])).
% 31.82/20.66 tff(655,plain,
% 31.82/20.66 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.66 inference(transitivity,[status(thm)],[643, 641, 83, 86, 90, 77])).
% 31.82/20.66 tff(656,plain,
% 31.82/20.66 (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[655])).
% 31.82/20.66 tff(657,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(658,plain,
% 31.82/20.66 (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[657, 25])).
% 31.82/20.66 tff(659,plain,
% 31.82/20.66 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7)),
% 31.82/20.66 inference(symmetry,[status(thm)],[658])).
% 31.82/20.66 tff(660,plain,
% 31.82/20.66 (multiply(multiply(identity, sk_c1), identity) = multiply(sk_c1, identity)),
% 31.82/20.66 inference(symmetry,[status(thm)],[635])).
% 31.82/20.66 tff(661,plain,
% 31.82/20.66 (multiply(identity, multiply(sk_c1, identity)) = multiply(multiply(identity, sk_c1), identity)),
% 31.82/20.66 inference(symmetry,[status(thm)],[634])).
% 31.82/20.66 tff(662,plain,
% 31.82/20.66 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(identity, multiply(sk_c1, identity))),
% 31.82/20.66 inference(symmetry,[status(thm)],[632])).
% 31.82/20.66 tff(663,plain,
% 31.82/20.66 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.66 inference(symmetry,[status(thm)],[631])).
% 31.82/20.66 tff(664,plain,
% 31.82/20.66 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.66 inference(transitivity,[status(thm)],[663, 662, 661, 660, 77])).
% 31.82/20.66 tff(665,plain,
% 31.82/20.66 (multiply(multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[664])).
% 31.82/20.66 tff(666,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(667,plain,
% 31.82/20.66 (multiply(multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[666, 25])).
% 31.82/20.66 tff(668,plain,
% 31.82/20.66 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))), sk_c7)),
% 31.82/20.66 inference(symmetry,[status(thm)],[667])).
% 31.82/20.66 tff(669,plain,
% 31.82/20.66 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.66 inference(transitivity,[status(thm)],[668, 665])).
% 31.82/20.66 tff(670,plain,
% 31.82/20.66 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.66 inference(monotonicity,[status(thm)],[669])).
% 31.82/20.66 tff(671,plain,
% 31.82/20.66 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7)) = sk_c6),
% 31.82/20.66 inference(transitivity,[status(thm)],[670, 659, 656, 644, 647, 649, 629])).
% 31.82/20.66 tff(672,plain,
% 31.82/20.66 (multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7))) = multiply(inverse(sk_c6), sk_c6)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[671])).
% 31.82/20.66 tff(673,plain,
% 31.82/20.66 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, sk_c7)) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7))))),
% 31.82/20.66 inference(quant_inst,[status(thm)],[])).
% 31.82/20.66 tff(674,plain,
% 31.82/20.66 (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, sk_c7)) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7)))),
% 31.82/20.66 inference(unit_resolution,[status(thm)],[673, 25])).
% 31.82/20.66 tff(675,plain,
% 31.82/20.66 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)) = sk_c6),
% 31.82/20.66 inference(transitivity,[status(thm)],[668, 665, 644, 647, 649, 629])).
% 31.82/20.66 tff(676,plain,
% 31.82/20.66 (multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(inverse(sk_c6), sk_c6)),
% 31.82/20.66 inference(monotonicity,[status(thm)],[675])).
% 31.82/20.67 tff(677,plain,
% 31.82/20.67 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.82/20.67 inference(symmetry,[status(thm)],[676])).
% 31.82/20.67 tff(678,plain,
% 31.82/20.67 (identity = multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.82/20.67 inference(transitivity,[status(thm)],[49, 677])).
% 31.82/20.67 tff(679,plain,
% 31.82/20.67 (multiply(identity, multiply(sk_c3, sk_c7)) = multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, sk_c7))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[678])).
% 31.82/20.67 tff(680,plain,
% 31.82/20.67 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c3, sk_c7)) = multiply(sk_c3, sk_c7))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(681,plain,
% 31.82/20.67 (multiply(identity, multiply(sk_c3, sk_c7)) = multiply(sk_c3, sk_c7)),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[680, 57])).
% 31.82/20.67 tff(682,plain,
% 31.82/20.67 (multiply(sk_c3, sk_c7) = multiply(identity, multiply(sk_c3, sk_c7))),
% 31.82/20.67 inference(symmetry,[status(thm)],[681])).
% 31.82/20.67 tff(683,plain,
% 31.82/20.67 (multiply(sk_c3, sk_c7) = identity),
% 31.82/20.67 inference(transitivity,[status(thm)],[682, 679, 674, 672, 46])).
% 31.82/20.67 tff(684,plain,
% 31.82/20.67 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)) = multiply(identity, multiply(sk_c1, identity))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[683, 654])).
% 31.82/20.67 tff(685,plain,
% 31.82/20.67 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[652])).
% 31.82/20.67 tff(686,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(sk_c3, sk_c6)),
% 31.82/20.67 inference(symmetry,[status(thm)],[685])).
% 31.82/20.67 tff(687,plain,
% 31.82/20.67 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c3, sk_c6), identity)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[686, 683])).
% 31.82/20.67 tff(688,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), sk_c7) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c7)))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(689,plain,
% 31.82/20.67 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), sk_c7) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c7))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[688, 25])).
% 31.82/20.67 tff(690,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3) = multiply(sk_c3, multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(691,plain,
% 31.82/20.67 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3) = multiply(sk_c3, multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[690, 25])).
% 31.82/20.67 tff(692,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3)),
% 31.82/20.67 inference(symmetry,[status(thm)],[691])).
% 31.82/20.67 tff(693,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[655])).
% 31.82/20.67 tff(694,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3))),
% 31.82/20.67 inference(symmetry,[status(thm)],[693])).
% 31.82/20.67 tff(695,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3)),
% 31.82/20.67 inference(transitivity,[status(thm)],[694, 692])).
% 31.82/20.67 tff(696,plain,
% 31.82/20.67 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), sk_c7)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[695])).
% 31.82/20.67 tff(697,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(698,plain,
% 31.82/20.67 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[697, 25])).
% 31.82/20.67 tff(699,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)),
% 31.82/20.67 inference(symmetry,[status(thm)],[698])).
% 31.82/20.67 tff(700,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(701,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[700, 25])).
% 31.82/20.67 tff(702,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.82/20.67 inference(symmetry,[status(thm)],[701])).
% 31.82/20.67 tff(703,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, sk_c3), sk_c1) = multiply(identity, sk_c1)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[445])).
% 31.82/20.67 tff(704,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), sk_c1) = multiply(sk_c7, multiply(sk_c3, sk_c1)))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(705,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, sk_c3), sk_c1) = multiply(sk_c7, multiply(sk_c3, sk_c1))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[704, 25])).
% 31.82/20.67 tff(706,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c3, sk_c1)) = multiply(multiply(sk_c7, sk_c3), sk_c1)),
% 31.82/20.67 inference(symmetry,[status(thm)],[705])).
% 31.82/20.67 tff(707,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c3, sk_c1)) = sk_c1),
% 31.82/20.67 inference(transitivity,[status(thm)],[706, 703, 59])).
% 31.82/20.67 tff(708,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))) = multiply(sk_c3, sk_c1)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[707])).
% 31.82/20.67 tff(709,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(sk_c7, multiply(sk_c3, sk_c1))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[708])).
% 31.82/20.67 tff(710,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = sk_c1),
% 31.82/20.67 inference(transitivity,[status(thm)],[709, 706, 703, 59])).
% 31.82/20.67 tff(711,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))) = multiply(sk_c7, sk_c1)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[710])).
% 31.82/20.67 tff(712,plain,
% 31.82/20.67 (multiply(sk_c7, sk_c1) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))),
% 31.82/20.67 inference(symmetry,[status(thm)],[711])).
% 31.82/20.67 tff(713,assumption,(~(multiply(sk_c3, sk_c6) = sk_c7)), introduced(assumption)).
% 31.82/20.67 tff(714,plain,
% 31.82/20.67 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 31.82/20.67 inference(rewrite,[status(thm)],[])).
% 31.82/20.67 tff(715,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_13')).
% 31.82/20.67 tff(716,plain,
% 31.82/20.67 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.82/20.67 inference(modus_ponens,[status(thm)],[715, 714])).
% 31.82/20.67 tff(717,plain,
% 31.82/20.67 (inverse(sk_c1) = sk_c7),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[716, 713])).
% 31.82/20.67 tff(718,plain,
% 31.82/20.67 (sk_c7 = inverse(sk_c1)),
% 31.82/20.67 inference(symmetry,[status(thm)],[717])).
% 31.82/20.67 tff(719,plain,
% 31.82/20.67 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[718])).
% 31.82/20.67 tff(720,plain,
% 31.82/20.67 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 31.82/20.67 inference(symmetry,[status(thm)],[719])).
% 31.82/20.67 tff(721,plain,
% 31.82/20.67 (identity = multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.82/20.67 inference(transitivity,[status(thm)],[44, 720, 712, 702])).
% 31.82/20.67 tff(722,plain,
% 31.82/20.67 (multiply(identity, sk_c7) = multiply(multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), sk_c7)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[721])).
% 31.82/20.67 tff(723,plain,
% 31.82/20.67 (multiply(multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), sk_c7) = multiply(identity, sk_c7)),
% 31.82/20.67 inference(symmetry,[status(thm)],[722])).
% 31.82/20.67 tff(724,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), sk_c7) = multiply(multiply(sk_c7, sk_c7), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7)))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(725,plain,
% 31.82/20.67 (multiply(multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), sk_c7) = multiply(multiply(sk_c7, sk_c7), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[724, 25])).
% 31.82/20.67 tff(726,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, sk_c7), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7)) = multiply(multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), sk_c7)),
% 31.82/20.67 inference(symmetry,[status(thm)],[725])).
% 31.82/20.67 tff(727,plain,
% 31.82/20.67 (multiply(sk_c1, identity) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[49])).
% 31.82/20.67 tff(728,plain,
% 31.82/20.67 (multiply(multiply(sk_c1, identity), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[727])).
% 31.82/20.67 tff(729,plain,
% 31.82/20.67 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(identity, sk_c7))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[240])).
% 31.82/20.67 tff(730,plain,
% 31.82/20.67 (multiply(sk_c1, sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.67 inference(transitivity,[status(thm)],[729, 648, 728])).
% 31.82/20.67 tff(731,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(sk_c1, sk_c7)) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[730])).
% 31.82/20.67 tff(732,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c1), sk_c7) = multiply(sk_c3, multiply(sk_c1, sk_c7)))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(733,plain,
% 31.82/20.67 (multiply(multiply(sk_c3, sk_c1), sk_c7) = multiply(sk_c3, multiply(sk_c1, sk_c7))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[732, 25])).
% 31.82/20.67 tff(734,plain,
% 31.82/20.67 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7) = multiply(multiply(sk_c3, sk_c1), sk_c7)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[708])).
% 31.82/20.67 tff(735,plain,
% 31.82/20.67 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.67 inference(transitivity,[status(thm)],[734, 733, 731])).
% 31.82/20.67 tff(736,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, sk_c7), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[735])).
% 31.82/20.67 tff(737,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(multiply(sk_c7, sk_c7), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7))),
% 31.82/20.67 inference(symmetry,[status(thm)],[736])).
% 31.82/20.67 tff(738,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(739,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[738, 25])).
% 31.82/20.67 tff(740,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.82/20.67 inference(symmetry,[status(thm)],[739])).
% 31.82/20.67 tff(741,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c1)), sk_c7) = multiply(sk_c1, sk_c7)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[707])).
% 31.82/20.67 tff(742,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, sk_c1)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(743,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c1)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[742, 25])).
% 31.82/20.67 tff(744,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c1)), sk_c7)),
% 31.82/20.67 inference(symmetry,[status(thm)],[743])).
% 31.82/20.67 tff(745,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c3, sk_c1), sk_c7)),
% 31.82/20.67 inference(symmetry,[status(thm)],[733])).
% 31.82/20.67 tff(746,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(sk_c3, multiply(sk_c1, sk_c7))),
% 31.82/20.67 inference(symmetry,[status(thm)],[731])).
% 31.82/20.67 tff(747,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(sk_c3, sk_c1), sk_c7)),
% 31.82/20.67 inference(transitivity,[status(thm)],[746, 745])).
% 31.82/20.67 tff(748,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c7))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[747])).
% 31.82/20.67 tff(749,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = sk_c6),
% 31.82/20.67 inference(transitivity,[status(thm)],[748, 744, 741, 629])).
% 31.82/20.67 tff(750,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))) = multiply(sk_c7, sk_c6)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[749])).
% 31.82/20.67 tff(751,plain,
% 31.82/20.67 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))))),
% 31.82/20.67 inference(symmetry,[status(thm)],[750])).
% 31.82/20.67 tff(752,plain,
% 31.82/20.67 (multiply(sk_c7, sk_c6) = multiply(multiply(identity, sk_c7), sk_c6)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[240])).
% 31.82/20.67 tff(753,plain,
% 31.82/20.67 (multiply(multiply(identity, sk_c7), sk_c6) = multiply(sk_c7, sk_c6)),
% 31.82/20.67 inference(symmetry,[status(thm)],[752])).
% 31.82/20.67 tff(754,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c7), sk_c6) = multiply(identity, multiply(sk_c7, sk_c6)))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(755,plain,
% 31.82/20.67 (multiply(multiply(identity, sk_c7), sk_c6) = multiply(identity, multiply(sk_c7, sk_c6))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[754, 25])).
% 31.82/20.67 tff(756,plain,
% 31.82/20.67 (multiply(identity, multiply(sk_c7, sk_c6)) = multiply(multiply(identity, sk_c7), sk_c6)),
% 31.82/20.67 inference(symmetry,[status(thm)],[755])).
% 31.82/20.67 tff(757,plain,
% 31.82/20.67 (multiply(sk_c1, multiply(identity, sk_c7)) = multiply(sk_c1, sk_c7)),
% 31.82/20.67 inference(symmetry,[status(thm)],[729])).
% 31.82/20.67 tff(758,plain,
% 31.82/20.67 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(sk_c1, identity), sk_c7)),
% 31.82/20.67 inference(symmetry,[status(thm)],[728])).
% 31.82/20.67 tff(759,plain,
% 31.82/20.67 (multiply(multiply(identity, sk_c1), identity) = multiply(sk_c1, identity)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[59])).
% 31.82/20.67 tff(760,plain,
% 31.82/20.67 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c1, identity)),
% 31.82/20.67 inference(symmetry,[status(thm)],[727])).
% 31.82/20.67 tff(761,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(identity, multiply(sk_c1, identity))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[445, 760])).
% 31.82/20.67 tff(762,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.67 inference(transitivity,[status(thm)],[663, 761, 661, 759, 727])).
% 31.82/20.67 tff(763,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[762])).
% 31.82/20.67 tff(764,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)) = sk_c6),
% 31.82/20.67 inference(transitivity,[status(thm)],[668, 763, 758, 647, 757, 629])).
% 31.82/20.67 tff(765,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(sk_c7, sk_c6)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[764])).
% 31.82/20.67 tff(766,plain,
% 31.82/20.67 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.82/20.67 inference(symmetry,[status(thm)],[765])).
% 31.82/20.67 tff(767,plain,
% 31.82/20.67 (identity = multiply(sk_c7, sk_c1)),
% 31.82/20.67 inference(transitivity,[status(thm)],[44, 720])).
% 31.82/20.67 tff(768,plain,
% 31.82/20.67 (multiply(identity, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[767, 766])).
% 31.82/20.67 tff(769,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))) = multiply(identity, multiply(sk_c7, sk_c6))),
% 31.82/20.67 inference(symmetry,[status(thm)],[768])).
% 31.82/20.67 tff(770,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(771,plain,
% 31.82/20.67 (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[770, 25])).
% 31.82/20.67 tff(772,plain,
% 31.82/20.67 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.67 inference(transitivity,[status(thm)],[443, 446, 449, 451, 275])).
% 31.82/20.67 tff(773,plain,
% 31.82/20.67 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[772])).
% 31.82/20.67 tff(774,plain,
% 31.82/20.67 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7)),
% 31.82/20.67 inference(symmetry,[status(thm)],[773])).
% 31.82/20.67 tff(775,plain,
% 31.82/20.67 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(sk_c6, identity), sk_c7)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[274])).
% 31.82/20.67 tff(776,plain,
% 31.82/20.67 (multiply(multiply(sk_c6, identity), sk_c7) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.67 inference(symmetry,[status(thm)],[775])).
% 31.82/20.67 tff(777,plain,
% 31.82/20.67 (multiply(sk_c6, multiply(identity, sk_c7)) = multiply(sk_c6, sk_c7)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[215])).
% 31.82/20.67 tff(778,plain,
% 31.82/20.67 (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(identity, sk_c7))),
% 31.82/20.67 inference(symmetry,[status(thm)],[777])).
% 31.82/20.67 tff(779,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c6)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[629])).
% 31.82/20.67 tff(780,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.67 inference(transitivity,[status(thm)],[27, 779, 213, 112, 778, 465, 776, 774, 457])).
% 31.82/20.67 tff(781,plain,
% 31.82/20.67 (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c6)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[780, 764])).
% 31.82/20.67 tff(782,plain,
% 31.82/20.67 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c6) = multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.82/20.67 inference(symmetry,[status(thm)],[781])).
% 31.82/20.67 tff(783,plain,
% 31.82/20.67 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.67 inference(transitivity,[status(thm)],[458, 773])).
% 31.82/20.67 tff(784,plain,
% 31.82/20.67 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c6) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c6)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[783])).
% 31.82/20.67 tff(785,plain,
% 31.82/20.67 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c6) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c6)),
% 31.82/20.67 inference(symmetry,[status(thm)],[784])).
% 31.82/20.67 tff(786,plain,
% 31.82/20.67 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c6) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c6)))),
% 31.82/20.67 inference(quant_inst,[status(thm)],[])).
% 31.82/20.67 tff(787,plain,
% 31.82/20.67 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c6) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c6))),
% 31.82/20.67 inference(unit_resolution,[status(thm)],[786, 25])).
% 31.82/20.67 tff(788,plain,
% 31.82/20.67 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c6)),
% 31.82/20.67 inference(symmetry,[status(thm)],[787])).
% 31.82/20.67 tff(789,plain,
% 31.82/20.67 (multiply(sk_c7, sk_c6) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.67 inference(transitivity,[status(thm)],[213, 112, 778, 465, 776, 774, 457])).
% 31.82/20.67 tff(790,plain,
% 31.82/20.67 (sk_c6 = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.67 inference(transitivity,[status(thm)],[651, 729, 648, 728])).
% 31.82/20.67 tff(791,plain,
% 31.82/20.67 (multiply(sk_c6, sk_c3) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[790])).
% 31.82/20.67 tff(792,plain,
% 31.82/20.67 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(sk_c6, sk_c3)),
% 31.82/20.67 inference(symmetry,[status(thm)],[791])).
% 31.82/20.67 tff(793,plain,
% 31.82/20.67 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c3)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)),
% 31.82/20.67 inference(symmetry,[status(thm)],[643])).
% 31.82/20.67 tff(794,plain,
% 31.82/20.67 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c3))),
% 31.82/20.67 inference(symmetry,[status(thm)],[641])).
% 31.82/20.67 tff(795,plain,
% 31.82/20.67 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity) = multiply(multiply(sk_c1, identity), identity)),
% 31.82/20.67 inference(monotonicity,[status(thm)],[760])).
% 31.82/20.67 tff(796,plain,
% 31.82/20.67 (multiply(multiply(sk_c1, identity), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)),
% 31.82/20.67 inference(symmetry,[status(thm)],[795])).
% 31.82/20.67 tff(797,plain,
% 31.82/20.67 (multiply(sk_c7, sk_c1) = identity),
% 31.82/20.67 inference(transitivity,[status(thm)],[719, 43])).
% 31.82/20.67 tff(798,plain,
% 31.82/20.67 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(identity, multiply(sk_c1, identity))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[797, 760])).
% 31.82/20.67 tff(799,plain,
% 31.82/20.67 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.67 inference(monotonicity,[status(thm)],[762])).
% 31.82/20.67 tff(800,plain,
% 31.82/20.67 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[799])).
% 31.82/20.68 tff(801,plain,
% 31.82/20.68 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.68 inference(transitivity,[status(thm)],[800, 663, 761, 661, 759, 727])).
% 31.82/20.68 tff(802,plain,
% 31.82/20.68 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[801])).
% 31.82/20.68 tff(803,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(804,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[803, 25])).
% 31.82/20.68 tff(805,plain,
% 31.82/20.68 (multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.68 inference(symmetry,[status(thm)],[799])).
% 31.82/20.68 tff(806,plain,
% 31.82/20.68 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 31.82/20.68 inference(symmetry,[status(thm)],[779])).
% 31.82/20.68 tff(807,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 31.82/20.68 inference(transitivity,[status(thm)],[775, 439, 777, 111, 330, 806, 328])).
% 31.82/20.68 tff(808,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[807, 805])).
% 31.82/20.68 tff(809,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(810,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[809, 25])).
% 31.82/20.68 tff(811,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.68 inference(symmetry,[status(thm)],[810])).
% 31.82/20.68 tff(812,plain,
% 31.82/20.68 (multiply(identity, multiply(sk_c1, identity)) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.68 inference(symmetry,[status(thm)],[761])).
% 31.82/20.68 tff(813,plain,
% 31.82/20.68 (multiply(sk_c1, identity) = multiply(multiply(identity, sk_c1), identity)),
% 31.82/20.68 inference(symmetry,[status(thm)],[759])).
% 31.82/20.68 tff(814,plain,
% 31.82/20.68 (multiply(sk_c1, identity) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.68 inference(transitivity,[status(thm)],[813, 634, 812, 631])).
% 31.82/20.68 tff(815,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, identity), multiply(sk_c1, identity)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[275, 814])).
% 31.82/20.68 tff(816,plain,
% 31.82/20.68 (multiply(sk_c6, identity) = multiply(sk_c6, multiply(sk_c7, sk_c3))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[407])).
% 31.82/20.68 tff(817,plain,
% 31.82/20.68 (multiply(sk_c6, multiply(sk_c7, sk_c3)) = multiply(sk_c6, identity)),
% 31.82/20.68 inference(symmetry,[status(thm)],[816])).
% 31.82/20.68 tff(818,plain,
% 31.82/20.68 (multiply(sk_c6, sk_c7) = multiply(sk_c7, sk_c6)),
% 31.82/20.68 inference(transitivity,[status(thm)],[111, 330])).
% 31.82/20.68 tff(819,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, sk_c7), sk_c3) = multiply(multiply(sk_c7, sk_c6), sk_c3)),
% 31.82/20.68 inference(monotonicity,[status(thm)],[818])).
% 31.82/20.68 tff(820,plain,
% 31.82/20.68 (multiply(multiply(sk_c7, sk_c6), sk_c3) = multiply(multiply(sk_c6, sk_c7), sk_c3)),
% 31.82/20.68 inference(symmetry,[status(thm)],[819])).
% 31.82/20.68 tff(821,plain,
% 31.82/20.68 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c6, sk_c3)),
% 31.82/20.68 inference(transitivity,[status(thm)],[800, 663, 761, 661, 759, 91, 87, 796, 794, 793, 792])).
% 31.82/20.68 tff(822,plain,
% 31.82/20.68 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(sk_c7, multiply(sk_c6, sk_c3))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[821])).
% 31.82/20.68 tff(823,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(824,plain,
% 31.82/20.68 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[823, 25])).
% 31.82/20.68 tff(825,plain,
% 31.82/20.68 (multiply(sk_c3, multiply(sk_c1, identity)) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[727])).
% 31.82/20.68 tff(826,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c1), identity) = multiply(sk_c3, multiply(sk_c1, identity)))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(827,plain,
% 31.82/20.68 (multiply(multiply(sk_c3, sk_c1), identity) = multiply(sk_c3, multiply(sk_c1, identity))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[826, 25])).
% 31.82/20.68 tff(828,plain,
% 31.82/20.68 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), identity) = multiply(multiply(sk_c3, sk_c1), identity)),
% 31.82/20.68 inference(monotonicity,[status(thm)],[708])).
% 31.82/20.68 tff(829,plain,
% 31.82/20.68 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), identity) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.68 inference(transitivity,[status(thm)],[828, 827, 825, 805])).
% 31.82/20.68 tff(830,plain,
% 31.82/20.68 (multiply(multiply(sk_c7, sk_c7), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), identity)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[829])).
% 31.82/20.68 tff(831,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), identity) = multiply(multiply(sk_c7, sk_c7), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), identity)))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(832,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), identity) = multiply(multiply(sk_c7, sk_c7), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), identity))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[831, 25])).
% 31.82/20.68 tff(833,plain,
% 31.82/20.68 (multiply(identity, identity) = multiply(multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), identity)),
% 31.82/20.68 inference(monotonicity,[status(thm)],[721])).
% 31.82/20.68 tff(834,plain,
% 31.82/20.68 (identity = multiply(identity, identity)),
% 31.82/20.68 inference(symmetry,[status(thm)],[89])).
% 31.82/20.68 tff(835,plain,
% 31.82/20.68 (((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 31.82/20.68 inference(rewrite,[status(thm)],[])).
% 31.82/20.68 tff(836,axiom,((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_23')).
% 31.82/20.68 tff(837,plain,
% 31.82/20.68 ((inverse(sk_c2) = sk_c7) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.82/20.68 inference(modus_ponens,[status(thm)],[836, 835])).
% 31.82/20.68 tff(838,plain,
% 31.82/20.68 (inverse(sk_c2) = sk_c7),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[837, 713])).
% 31.82/20.68 tff(839,plain,
% 31.82/20.68 (sk_c7 = inverse(sk_c2)),
% 31.82/20.68 inference(symmetry,[status(thm)],[838])).
% 31.82/20.68 tff(840,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = inverse(sk_c2)),
% 31.82/20.68 inference(transitivity,[status(thm)],[458, 773, 775, 439, 777, 111, 330, 751, 740, 737, 726, 723, 215, 839])).
% 31.82/20.68 tff(841,plain,
% 31.82/20.68 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 31.82/20.68 inference(monotonicity,[status(thm)],[840])).
% 31.82/20.68 tff(842,plain,
% 31.82/20.68 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c2) = multiply(sk_c6, identity)),
% 31.82/20.68 inference(transitivity,[status(thm)],[841, 337, 834, 833, 832, 830, 824, 822, 576, 820, 557, 817])).
% 31.82/20.68 tff(843,plain,
% 31.82/20.68 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c2), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, identity), multiply(sk_c1, identity))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[842, 760])).
% 31.82/20.68 tff(844,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c2), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c2, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(845,plain,
% 31.82/20.68 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c2), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c2, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[844, 25])).
% 31.82/20.68 tff(846,plain,
% 31.82/20.68 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c2, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c2), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.68 inference(symmetry,[status(thm)],[845])).
% 31.82/20.68 tff(847,plain,
% 31.82/20.68 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.68 inference(symmetry,[status(thm)],[800])).
% 31.82/20.68 tff(848,plain,
% 31.82/20.68 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.68 inference(transitivity,[status(thm)],[760, 813, 634, 812, 631, 847])).
% 31.82/20.68 tff(849,plain,
% 31.82/20.68 (multiply(sk_c2, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[848])).
% 31.82/20.68 tff(850,plain,
% 31.82/20.68 (multiply(sk_c2, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(sk_c2, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.68 inference(symmetry,[status(thm)],[849])).
% 31.82/20.68 tff(851,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(852,plain,
% 31.82/20.68 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c2, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[851, 25])).
% 31.82/20.68 tff(853,plain,
% 31.82/20.68 (((multiply(sk_c2, sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)) <=> ((multiply(sk_c2, sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7))),
% 31.82/20.68 inference(rewrite,[status(thm)],[])).
% 31.82/20.68 tff(854,axiom,((multiply(sk_c2, sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_18')).
% 31.82/20.68 tff(855,plain,
% 31.82/20.68 ((multiply(sk_c2, sk_c7) = sk_c5) | (multiply(sk_c3, sk_c6) = sk_c7)),
% 31.82/20.68 inference(modus_ponens,[status(thm)],[854, 853])).
% 31.82/20.68 tff(856,plain,
% 31.82/20.68 (multiply(sk_c2, sk_c7) = sk_c5),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[855, 713])).
% 31.82/20.68 tff(857,plain,
% 31.82/20.68 (multiply(sk_c2, sk_c7) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.68 inference(transitivity,[status(thm)],[856, 112, 778, 465, 776])).
% 31.82/20.68 tff(858,plain,
% 31.82/20.68 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[857, 799])).
% 31.82/20.68 tff(859,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.68 inference(symmetry,[status(thm)],[858])).
% 31.82/20.68 tff(860,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.68 inference(symmetry,[status(thm)],[808])).
% 31.82/20.68 tff(861,plain,
% 31.82/20.68 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.68 inference(symmetry,[status(thm)],[804])).
% 31.82/20.68 tff(862,plain,
% 31.82/20.68 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.82/20.68 inference(symmetry,[status(thm)],[802])).
% 31.82/20.68 tff(863,plain,
% 31.82/20.68 (multiply(identity, multiply(sk_c1, identity)) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.68 inference(symmetry,[status(thm)],[798])).
% 31.82/20.68 tff(864,plain,
% 31.82/20.68 (multiply(sk_c6, sk_c3) = multiply(sk_c2, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.68 inference(transitivity,[status(thm)],[791, 643, 641, 795, 86, 90, 813, 634, 863, 862, 861, 860, 859, 852, 850])).
% 31.82/20.68 tff(865,plain,
% 31.82/20.68 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c2, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[864])).
% 31.82/20.68 tff(866,plain,
% 31.82/20.68 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c6, sk_c3)),
% 31.82/20.68 inference(transitivity,[status(thm)],[760, 91, 87, 796, 794, 793, 792])).
% 31.82/20.68 tff(867,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[780, 866])).
% 31.82/20.68 tff(868,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(869,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[868, 25])).
% 31.82/20.68 tff(870,plain,
% 31.82/20.68 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.68 inference(symmetry,[status(thm)],[869])).
% 31.82/20.68 tff(871,plain,
% 31.82/20.68 (multiply(sk_c7, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c7, multiply(sk_c6, sk_c3))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[866])).
% 31.82/20.68 tff(872,plain,
% 31.82/20.68 (multiply(sk_c7, multiply(sk_c6, sk_c3)) = multiply(sk_c7, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.68 inference(symmetry,[status(thm)],[871])).
% 31.82/20.68 tff(873,plain,
% 31.82/20.68 (multiply(identity, multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[767, 872])).
% 31.82/20.68 tff(874,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c7), multiply(sk_c6, sk_c3)) = multiply(identity, multiply(sk_c7, multiply(sk_c6, sk_c3))))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(875,plain,
% 31.82/20.68 (multiply(multiply(identity, sk_c7), multiply(sk_c6, sk_c3)) = multiply(identity, multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[874, 25])).
% 31.82/20.68 tff(876,plain,
% 31.82/20.68 (multiply(sk_c7, multiply(sk_c6, sk_c3)) = multiply(multiply(identity, sk_c7), multiply(sk_c6, sk_c3))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[240])).
% 31.82/20.68 tff(877,plain,
% 31.82/20.68 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c6, sk_c3)),
% 31.82/20.68 inference(transitivity,[status(thm)],[274, 816, 558, 819, 552, 876, 875, 873, 870, 867, 865, 846, 843, 815, 811, 808, 804, 802, 798, 661, 759, 91, 87, 796, 794, 793, 792])).
% 31.82/20.68 tff(878,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[877, 789])).
% 31.82/20.68 tff(879,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, sk_c3), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c6))),
% 31.82/20.68 inference(symmetry,[status(thm)],[878])).
% 31.82/20.68 tff(880,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, sk_c7)) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c7))))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(881,plain,
% 31.82/20.68 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, sk_c7)) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c7)))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[880, 25])).
% 31.82/20.68 tff(882,plain,
% 31.82/20.68 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.68 inference(transitivity,[status(thm)],[213, 112, 778, 465, 776])).
% 31.82/20.68 tff(883,plain,
% 31.82/20.68 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[882])).
% 31.82/20.68 tff(884,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, sk_c7))),
% 31.82/20.68 inference(symmetry,[status(thm)],[883])).
% 31.82/20.68 tff(885,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c7)))),
% 31.82/20.68 inference(transitivity,[status(thm)],[884, 881])).
% 31.82/20.68 tff(886,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, sk_c3), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c7))))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[885])).
% 31.82/20.68 tff(887,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c7)))) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.82/20.68 inference(symmetry,[status(thm)],[886])).
% 31.82/20.68 tff(888,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c7)))))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(889,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c7))))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[888, 25])).
% 31.82/20.68 tff(890,plain,
% 31.82/20.68 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)),
% 31.82/20.68 inference(transitivity,[status(thm)],[760, 91, 87, 796, 794, 793])).
% 31.82/20.68 tff(891,plain,
% 31.82/20.68 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7)),
% 31.82/20.68 inference(monotonicity,[status(thm)],[890])).
% 31.82/20.68 tff(892,plain,
% 31.82/20.68 (multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.68 inference(symmetry,[status(thm)],[891])).
% 31.82/20.68 tff(893,plain,
% 31.82/20.68 (multiply(sk_c6, multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[790])).
% 31.82/20.68 tff(894,plain,
% 31.82/20.68 (multiply(sk_c6, multiply(sk_c3, sk_c7)) = sk_c6),
% 31.82/20.68 inference(transitivity,[status(thm)],[893, 659, 892, 758, 647, 757, 629])).
% 31.82/20.68 tff(895,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c7)))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(896,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, sk_c3), sk_c7) = multiply(sk_c6, multiply(sk_c3, sk_c7))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[895, 25])).
% 31.82/20.68 tff(897,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, sk_c3), sk_c7) = sk_c6),
% 31.82/20.68 inference(transitivity,[status(thm)],[896, 893, 659, 892, 758, 647, 757, 629])).
% 31.82/20.68 tff(898,plain,
% 31.82/20.68 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(sk_c3, sk_c7))) = multiply(sk_c6, sk_c6)),
% 31.82/20.68 inference(monotonicity,[status(thm)],[897, 894])).
% 31.82/20.68 tff(899,plain,
% 31.82/20.68 (multiply(sk_c6, sk_c6) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(sk_c3, sk_c7)))),
% 31.82/20.68 inference(symmetry,[status(thm)],[898])).
% 31.82/20.68 tff(900,plain,
% 31.82/20.68 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[790])).
% 31.82/20.68 tff(901,plain,
% 31.82/20.68 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(sk_c6, sk_c6)),
% 31.82/20.68 inference(symmetry,[status(thm)],[900])).
% 31.82/20.68 tff(902,plain,
% 31.82/20.68 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.82/20.68 inference(quant_inst,[status(thm)],[])).
% 31.82/20.68 tff(903,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.68 inference(unit_resolution,[status(thm)],[902, 25])).
% 31.82/20.68 tff(904,plain,
% 31.82/20.68 (multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c6, multiply(sk_c1, identity))),
% 31.82/20.68 inference(monotonicity,[status(thm)],[760])).
% 31.82/20.68 tff(905,plain,
% 31.82/20.68 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[904])).
% 31.82/20.69 tff(906,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)),
% 31.82/20.69 inference(symmetry,[status(thm)],[905])).
% 31.82/20.69 tff(907,plain,
% 31.82/20.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, sk_c3)))),
% 31.82/20.69 inference(quant_inst,[status(thm)],[])).
% 31.82/20.69 tff(908,plain,
% 31.82/20.69 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, sk_c3))),
% 31.82/20.69 inference(unit_resolution,[status(thm)],[907, 25])).
% 31.82/20.69 tff(909,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, sk_c3)) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3)),
% 31.82/20.69 inference(symmetry,[status(thm)],[908])).
% 31.82/20.69 tff(910,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, sk_c3)) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), identity)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[445])).
% 31.82/20.69 tff(911,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), identity) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, sk_c3))),
% 31.82/20.69 inference(symmetry,[status(thm)],[910])).
% 31.82/20.69 tff(912,plain,
% 31.82/20.69 (multiply(multiply(inverse(sk_c6), sk_c6), sk_c1) = multiply(identity, sk_c1)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[46])).
% 31.82/20.69 tff(913,plain,
% 31.82/20.69 (multiply(identity, sk_c1) = multiply(multiply(inverse(sk_c6), sk_c6), sk_c1)),
% 31.82/20.69 inference(symmetry,[status(thm)],[912])).
% 31.82/20.69 tff(914,plain,
% 31.82/20.69 (sk_c1 = multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))),
% 31.82/20.69 inference(transitivity,[status(thm)],[60, 913, 48])).
% 31.82/20.69 tff(915,plain,
% 31.82/20.69 (multiply(sk_c6, sk_c1) = multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[914])).
% 31.82/20.69 tff(916,plain,
% 31.82/20.69 (multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))) = multiply(sk_c6, sk_c1)),
% 31.82/20.69 inference(symmetry,[status(thm)],[915])).
% 31.82/20.69 tff(917,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity) = multiply(multiply(sk_c6, sk_c1), identity)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[916])).
% 31.82/20.69 tff(918,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, sk_c1), identity) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity)),
% 31.82/20.69 inference(symmetry,[status(thm)],[917])).
% 31.82/20.69 tff(919,plain,
% 31.82/20.69 (multiply(sk_c6, multiply(sk_c1, identity)) = multiply(multiply(sk_c6, sk_c1), identity)),
% 31.82/20.69 inference(symmetry,[status(thm)],[320])).
% 31.82/20.69 tff(920,plain,
% 31.82/20.69 (multiply(sk_c6, multiply(sk_c1, identity)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity)),
% 31.82/20.69 inference(transitivity,[status(thm)],[919, 918])).
% 31.82/20.69 tff(921,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), identity) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity), identity)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[920])).
% 31.82/20.69 tff(922,plain,
% 31.82/20.69 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity), identity) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), identity)),
% 31.82/20.69 inference(symmetry,[status(thm)],[921])).
% 31.82/20.69 tff(923,plain,
% 31.82/20.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity), identity) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), multiply(identity, identity)))),
% 31.82/20.69 inference(quant_inst,[status(thm)],[])).
% 31.82/20.69 tff(924,plain,
% 31.82/20.69 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity), identity) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), multiply(identity, identity))),
% 31.82/20.69 inference(unit_resolution,[status(thm)],[923, 25])).
% 31.82/20.69 tff(925,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), multiply(identity, identity)) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity), identity)),
% 31.82/20.69 inference(symmetry,[status(thm)],[924])).
% 31.82/20.69 tff(926,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), multiply(identity, identity)) = multiply(multiply(sk_c6, sk_c1), identity)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[916, 89])).
% 31.82/20.69 tff(927,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, sk_c1), identity) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), multiply(identity, identity))),
% 31.82/20.69 inference(symmetry,[status(thm)],[926])).
% 31.82/20.69 tff(928,plain,
% 31.82/20.69 (multiply(sk_c6, multiply(sk_c1, identity)) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3)),
% 31.82/20.69 inference(transitivity,[status(thm)],[919, 927, 925, 922, 911, 909])).
% 31.82/20.69 tff(929,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7) = multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3), sk_c7)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[928])).
% 31.82/20.69 tff(930,plain,
% 31.82/20.69 (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)),
% 31.82/20.69 inference(symmetry,[status(thm)],[929])).
% 31.82/20.69 tff(931,plain,
% 31.82/20.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3), sk_c7) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.82/20.69 inference(quant_inst,[status(thm)],[])).
% 31.82/20.69 tff(932,plain,
% 31.82/20.69 (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3), sk_c7) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.69 inference(unit_resolution,[status(thm)],[931, 25])).
% 31.82/20.69 tff(933,plain,
% 31.82/20.69 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3), sk_c7)),
% 31.82/20.69 inference(symmetry,[status(thm)],[932])).
% 31.82/20.69 tff(934,plain,
% 31.82/20.69 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.69 inference(transitivity,[status(thm)],[668, 763])).
% 31.82/20.69 tff(935,plain,
% 31.82/20.69 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[934])).
% 31.82/20.69 tff(936,plain,
% 31.82/20.69 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7)) = sk_c6),
% 31.82/20.69 inference(transitivity,[status(thm)],[935, 659, 892, 758, 647, 757, 629])).
% 31.82/20.69 tff(937,plain,
% 31.82/20.69 (multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7))) = multiply(inverse(sk_c6), sk_c6)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[936])).
% 31.82/20.69 tff(938,plain,
% 31.82/20.69 (multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(inverse(sk_c6), sk_c6)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[764])).
% 31.82/20.69 tff(939,plain,
% 31.82/20.69 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.82/20.69 inference(symmetry,[status(thm)],[938])).
% 31.82/20.69 tff(940,plain,
% 31.82/20.69 (identity = multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.82/20.69 inference(transitivity,[status(thm)],[49, 939])).
% 31.82/20.69 tff(941,plain,
% 31.82/20.69 (multiply(identity, multiply(sk_c3, sk_c7)) = multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, sk_c7))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[940])).
% 31.82/20.69 tff(942,plain,
% 31.82/20.69 (multiply(sk_c3, sk_c7) = identity),
% 31.82/20.69 inference(transitivity,[status(thm)],[682, 941, 674, 937, 46])).
% 31.82/20.69 tff(943,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7) = multiply(sk_c6, sk_c6)),
% 31.82/20.69 inference(transitivity,[status(thm)],[906, 903, 901])).
% 31.82/20.69 tff(944,plain,
% 31.82/20.69 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c6, sk_c6), identity)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[943, 942])).
% 31.82/20.69 tff(945,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, sk_c6), identity) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.69 inference(symmetry,[status(thm)],[944])).
% 31.82/20.69 tff(946,plain,
% 31.82/20.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), identity) = multiply(sk_c6, multiply(sk_c6, identity)))),
% 31.82/20.69 inference(quant_inst,[status(thm)],[])).
% 31.82/20.69 tff(947,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, sk_c6), identity) = multiply(sk_c6, multiply(sk_c6, identity))),
% 31.82/20.69 inference(unit_resolution,[status(thm)],[946, 25])).
% 31.82/20.69 tff(948,plain,
% 31.82/20.69 (multiply(sk_c6, multiply(sk_c6, identity)) = multiply(multiply(sk_c6, sk_c6), identity)),
% 31.82/20.69 inference(symmetry,[status(thm)],[947])).
% 31.82/20.69 tff(949,plain,
% 31.82/20.69 (multiply(sk_c6, identity) = multiply(sk_c7, multiply(sk_c6, sk_c3))),
% 31.82/20.69 inference(transitivity,[status(thm)],[816, 558, 819, 552])).
% 31.82/20.69 tff(950,plain,
% 31.82/20.69 (multiply(sk_c6, multiply(sk_c6, identity)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[949])).
% 31.82/20.69 tff(951,plain,
% 31.82/20.69 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(sk_c6, identity))),
% 31.82/20.69 inference(symmetry,[status(thm)],[950])).
% 31.82/20.69 tff(952,plain,
% 31.82/20.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c3)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c3))))),
% 31.82/20.69 inference(quant_inst,[status(thm)],[])).
% 31.82/20.69 tff(953,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c3)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.82/20.69 inference(unit_resolution,[status(thm)],[952, 25])).
% 31.82/20.69 tff(954,plain,
% 31.82/20.69 (multiply(sk_c6, sk_c7) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.82/20.69 inference(transitivity,[status(thm)],[778, 465, 776, 774, 457])).
% 31.82/20.69 tff(955,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[954])).
% 31.82/20.69 tff(956,plain,
% 31.82/20.69 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c3))),
% 31.82/20.69 inference(symmetry,[status(thm)],[955])).
% 31.82/20.69 tff(957,plain,
% 31.82/20.69 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c2, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3))),
% 31.82/20.69 inference(symmetry,[status(thm)],[865])).
% 31.82/20.69 tff(958,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, identity), multiply(sk_c1, identity)) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c2), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.69 inference(symmetry,[status(thm)],[843])).
% 31.82/20.69 tff(959,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(multiply(sk_c6, identity), multiply(sk_c1, identity))),
% 31.82/20.69 inference(symmetry,[status(thm)],[815])).
% 31.82/20.69 tff(960,plain,
% 31.82/20.69 (multiply(sk_c6, sk_c3) = multiply(sk_c1, identity)),
% 31.82/20.69 inference(transitivity,[status(thm)],[791, 643, 641, 795, 86, 90])).
% 31.82/20.69 tff(961,plain,
% 31.82/20.69 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)) = multiply(identity, multiply(sk_c1, identity))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[942, 960])).
% 31.82/20.69 tff(962,plain,
% 31.82/20.69 (multiply(sk_c3, multiply(sk_c6, identity)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[949])).
% 31.82/20.69 tff(963,plain,
% 31.82/20.69 (multiply(sk_c3, sk_c6) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[790])).
% 31.82/20.69 tff(964,plain,
% 31.82/20.69 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(sk_c3, sk_c6)),
% 31.82/20.69 inference(symmetry,[status(thm)],[963])).
% 31.82/20.69 tff(965,plain,
% 31.82/20.69 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c3, sk_c6), identity)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[964, 942])).
% 31.82/20.69 tff(966,plain,
% 31.82/20.69 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.69 inference(transitivity,[status(thm)],[643, 641, 795, 86, 90, 727])).
% 31.82/20.69 tff(967,plain,
% 31.82/20.69 (multiply(sk_c3, multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[966])).
% 31.82/20.69 tff(968,plain,
% 31.82/20.69 (multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3))),
% 31.82/20.69 inference(symmetry,[status(thm)],[967])).
% 31.82/20.69 tff(969,plain,
% 31.82/20.69 (multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3)),
% 31.82/20.69 inference(transitivity,[status(thm)],[968, 692])).
% 31.82/20.69 tff(970,plain,
% 31.82/20.69 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), sk_c7)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[969])).
% 31.82/20.69 tff(971,plain,
% 31.82/20.69 (multiply(sk_c3, sk_c6) = sk_c7),
% 31.82/20.69 inference(transitivity,[status(thm)],[963, 699, 970, 689, 965, 601, 962, 597, 961, 863, 862, 861, 860, 810, 959, 958, 845, 957, 956, 953, 951, 948, 945, 933, 930, 906, 903, 901, 899, 889, 887, 879, 788, 785, 782, 771, 769, 756, 753, 751, 740, 737, 726, 723, 215])).
% 31.82/20.69 tff(972,plain,
% 31.82/20.69 ($false),
% 31.82/20.69 inference(unit_resolution,[status(thm)],[713, 971])).
% 31.82/20.69 tff(973,plain,(multiply(sk_c3, sk_c6) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 31.82/20.69 tff(974,plain,
% 31.82/20.69 (sk_c7 = multiply(sk_c3, sk_c6)),
% 31.82/20.69 inference(symmetry,[status(thm)],[973])).
% 31.82/20.69 tff(975,plain,
% 31.82/20.69 (sk_c7 = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.69 inference(transitivity,[status(thm)],[974, 685, 699, 696, 689, 687, 601, 599, 597, 684, 632, 631, 640])).
% 31.82/20.69 tff(976,plain,
% 31.82/20.69 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[975])).
% 31.82/20.69 tff(977,plain,
% 31.82/20.69 (multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(sk_c1, sk_c7)),
% 31.82/20.69 inference(symmetry,[status(thm)],[976])).
% 31.82/20.69 tff(978,plain,
% 31.82/20.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))))),
% 31.82/20.69 inference(quant_inst,[status(thm)],[])).
% 31.82/20.69 tff(979,plain,
% 31.82/20.69 (multiply(multiply(sk_c1, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.82/20.69 inference(unit_resolution,[status(thm)],[978, 25])).
% 31.82/20.69 tff(980,plain,
% 31.82/20.69 (multiply(multiply(sk_c1, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[629])).
% 31.82/20.69 tff(981,plain,
% 31.82/20.69 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c1, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.69 inference(symmetry,[status(thm)],[980])).
% 31.82/20.69 tff(982,plain,
% 31.82/20.69 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[637])).
% 31.82/20.69 tff(983,plain,
% 31.82/20.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.69 inference(quant_inst,[status(thm)],[])).
% 31.82/20.69 tff(984,plain,
% 31.82/20.69 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.69 inference(unit_resolution,[status(thm)],[983, 25])).
% 31.82/20.69 tff(985,plain,
% 31.82/20.69 (sk_c7 = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.69 inference(transitivity,[status(thm)],[974, 685])).
% 31.82/20.69 tff(986,plain,
% 31.82/20.69 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[985, 637])).
% 31.82/20.69 tff(987,plain,
% 31.82/20.69 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.69 inference(symmetry,[status(thm)],[986])).
% 31.82/20.69 tff(988,plain,
% 31.82/20.69 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.69 inference(transitivity,[status(thm)],[83, 86, 90, 77])).
% 31.82/20.69 tff(989,plain,
% 31.82/20.69 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[988])).
% 31.82/20.69 tff(990,plain,
% 31.82/20.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), identity) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)))),
% 31.82/20.69 inference(quant_inst,[status(thm)],[])).
% 31.82/20.69 tff(991,plain,
% 31.82/20.69 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), identity) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity))),
% 31.82/20.69 inference(unit_resolution,[status(thm)],[990, 25])).
% 31.82/20.69 tff(992,plain,
% 31.82/20.69 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.69 inference(transitivity,[status(thm)],[691, 693])).
% 31.82/20.69 tff(993,plain,
% 31.82/20.69 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), identity) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), identity)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[992])).
% 31.82/20.69 tff(994,plain,
% 31.82/20.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), identity) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, identity)))),
% 31.82/20.69 inference(quant_inst,[status(thm)],[])).
% 31.82/20.69 tff(995,plain,
% 31.82/20.69 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), identity) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, identity))),
% 31.82/20.69 inference(unit_resolution,[status(thm)],[994, 25])).
% 31.82/20.69 tff(996,plain,
% 31.82/20.69 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, identity)) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), identity)),
% 31.82/20.69 inference(symmetry,[status(thm)],[995])).
% 31.82/20.69 tff(997,plain,
% 31.82/20.69 (multiply(identity, identity) = multiply(multiply(sk_c7, sk_c3), identity)),
% 31.82/20.69 inference(monotonicity,[status(thm)],[407])).
% 31.82/20.69 tff(998,plain,
% 31.82/20.69 (identity = multiply(sk_c7, multiply(sk_c3, identity))),
% 31.82/20.69 inference(transitivity,[status(thm)],[834, 997, 494])).
% 31.82/20.69 tff(999,plain,
% 31.82/20.69 (multiply(sk_c3, identity) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[998])).
% 31.82/20.69 tff(1000,plain,
% 31.82/20.69 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))) = multiply(sk_c3, identity)),
% 31.82/20.69 inference(symmetry,[status(thm)],[999])).
% 31.82/20.69 tff(1001,plain,
% 31.82/20.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, identity)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.82/20.69 inference(quant_inst,[status(thm)],[])).
% 31.82/20.69 tff(1002,plain,
% 31.82/20.69 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, identity)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.82/20.69 inference(unit_resolution,[status(thm)],[1001, 25])).
% 31.82/20.69 tff(1003,plain,
% 31.82/20.69 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, identity)) = multiply(identity, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[683, 999])).
% 31.82/20.69 tff(1004,plain,
% 31.82/20.69 (multiply(identity, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, identity))),
% 31.82/20.69 inference(symmetry,[status(thm)],[1003])).
% 31.82/20.69 tff(1005,plain,
% 31.82/20.69 (multiply(identity, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.82/20.69 inference(monotonicity,[status(thm)],[678])).
% 31.82/20.69 tff(1006,plain,
% 31.82/20.69 (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(identity, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.82/20.69 inference(symmetry,[status(thm)],[1005])).
% 31.82/20.69 tff(1007,plain,
% 31.82/20.69 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))))),
% 31.82/20.69 inference(quant_inst,[status(thm)],[])).
% 31.82/20.69 tff(1008,plain,
% 31.82/20.69 (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1007, 25])).
% 31.82/20.70 tff(1009,plain,
% 31.82/20.70 (multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1008])).
% 31.82/20.70 tff(1010,plain,
% 31.82/20.70 (multiply(multiply(sk_c7, sk_c3), identity) = multiply(identity, identity)),
% 31.82/20.70 inference(symmetry,[status(thm)],[997])).
% 31.82/20.70 tff(1011,plain,
% 31.82/20.70 (multiply(sk_c7, multiply(sk_c3, identity)) = identity),
% 31.82/20.70 inference(transitivity,[status(thm)],[495, 1010, 89])).
% 31.82/20.70 tff(1012,plain,
% 31.82/20.70 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1011])).
% 31.82/20.70 tff(1013,plain,
% 31.82/20.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1014,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1013, 25])).
% 31.82/20.70 tff(1015,plain,
% 31.82/20.70 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[669, 1000])).
% 31.82/20.70 tff(1016,plain,
% 31.82/20.70 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.70 inference(transitivity,[status(thm)],[1015, 1014, 1012, 83, 86, 90, 77])).
% 31.82/20.70 tff(1017,plain,
% 31.82/20.70 (multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1016])).
% 31.82/20.70 tff(1018,plain,
% 31.82/20.70 (multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1017])).
% 31.82/20.70 tff(1019,plain,
% 31.82/20.70 (multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, identity)),
% 31.82/20.70 inference(transitivity,[status(thm)],[1018, 1009, 1006, 1004, 1002, 1000])).
% 31.82/20.70 tff(1020,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)),
% 31.82/20.70 inference(symmetry,[status(thm)],[696])).
% 31.82/20.70 tff(1021,plain,
% 31.82/20.70 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), sk_c7)),
% 31.82/20.70 inference(symmetry,[status(thm)],[689])).
% 31.82/20.70 tff(1022,plain,
% 31.82/20.70 (multiply(multiply(sk_c3, sk_c6), identity) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c7))),
% 31.82/20.70 inference(symmetry,[status(thm)],[687])).
% 31.82/20.70 tff(1023,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(sk_c6, identity)) = multiply(multiply(sk_c3, sk_c6), identity)),
% 31.82/20.70 inference(symmetry,[status(thm)],[601])).
% 31.82/20.70 tff(1024,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(sk_c3, multiply(sk_c6, identity))),
% 31.82/20.70 inference(symmetry,[status(thm)],[599])).
% 31.82/20.70 tff(1025,plain,
% 31.82/20.70 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.82/20.70 inference(transitivity,[status(thm)],[596, 1024, 1023, 1022, 1021, 1020, 698])).
% 31.82/20.70 tff(1026,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, identity))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1025, 1019])).
% 31.82/20.70 tff(1027,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, identity))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1002])).
% 31.82/20.70 tff(1028,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))) = multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.70 inference(transitivity,[status(thm)],[1027, 1003, 1005, 1008, 1017])).
% 31.82/20.70 tff(1029,plain,
% 31.82/20.70 (multiply(identity, multiply(sk_c1, identity)) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))),
% 31.82/20.70 inference(symmetry,[status(thm)],[684])).
% 31.82/20.70 tff(1030,plain,
% 31.82/20.70 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))),
% 31.82/20.70 inference(transitivity,[status(thm)],[76, 635, 634, 1029])).
% 31.82/20.70 tff(1031,plain,
% 31.82/20.70 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1030, 1028])).
% 31.82/20.70 tff(1032,plain,
% 31.82/20.70 (sk_c7 = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.70 inference(transitivity,[status(thm)],[974, 685, 699, 696, 689, 687, 601, 599, 597, 684, 661, 660, 77])).
% 31.82/20.70 tff(1033,plain,
% 31.82/20.70 (multiply(sk_c7, multiply(sk_c3, identity)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1032, 999])).
% 31.82/20.70 tff(1034,plain,
% 31.82/20.70 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))), multiply(sk_c3, multiply(sk_c1, sk_c1))) = identity)),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1035,plain,
% 31.82/20.70 (multiply(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))), multiply(sk_c3, multiply(sk_c1, sk_c1))) = identity),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1034, 41])).
% 31.82/20.70 tff(1036,plain,
% 31.82/20.70 (multiply(identity, sk_c1) = multiply(multiply(sk_c7, sk_c3), sk_c1)),
% 31.82/20.70 inference(monotonicity,[status(thm)],[407])).
% 31.82/20.70 tff(1037,plain,
% 31.82/20.70 (multiply(multiply(sk_c7, sk_c3), sk_c1) = multiply(identity, sk_c1)),
% 31.82/20.70 inference(symmetry,[status(thm)],[1036])).
% 31.82/20.70 tff(1038,plain,
% 31.82/20.70 (multiply(sk_c7, multiply(sk_c3, sk_c1)) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c1))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[985])).
% 31.82/20.70 tff(1039,plain,
% 31.82/20.70 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c1)) = multiply(sk_c7, multiply(sk_c3, sk_c1))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1038])).
% 31.82/20.70 tff(1040,plain,
% 31.82/20.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), sk_c1) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c1)))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1041,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), sk_c1) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c1))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1040, 25])).
% 31.82/20.70 tff(1042,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), sk_c1) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c1)),
% 31.82/20.70 inference(monotonicity,[status(thm)],[992])).
% 31.82/20.70 tff(1043,plain,
% 31.82/20.70 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c1) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), sk_c1)),
% 31.82/20.70 inference(symmetry,[status(thm)],[1042])).
% 31.82/20.70 tff(1044,plain,
% 31.82/20.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c1) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c1)))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1045,plain,
% 31.82/20.70 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c1) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c1))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1044, 25])).
% 31.82/20.70 tff(1046,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c1)) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c1)),
% 31.82/20.70 inference(symmetry,[status(thm)],[1045])).
% 31.82/20.70 tff(1047,plain,
% 31.82/20.70 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c1) = multiply(multiply(sk_c1, identity), sk_c1)),
% 31.82/20.70 inference(monotonicity,[status(thm)],[76])).
% 31.82/20.70 tff(1048,plain,
% 31.82/20.70 (multiply(multiply(sk_c1, identity), sk_c1) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c1)),
% 31.82/20.70 inference(symmetry,[status(thm)],[1047])).
% 31.82/20.70 tff(1049,plain,
% 31.82/20.70 (multiply(sk_c1, multiply(identity, sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c1)),
% 31.82/20.70 inference(transitivity,[status(thm)],[309, 1048])).
% 31.82/20.70 tff(1050,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c1))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1049])).
% 31.82/20.70 tff(1051,plain,
% 31.82/20.70 (multiply(sk_c1, sk_c1) = multiply(sk_c1, multiply(identity, sk_c1))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[60])).
% 31.82/20.70 tff(1052,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(sk_c1, sk_c1)) = multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1051])).
% 31.82/20.70 tff(1053,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(sk_c1, sk_c1)) = sk_c1),
% 31.82/20.70 inference(transitivity,[status(thm)],[1052, 1050, 1046, 1043, 1041, 1039, 706, 1037, 59])).
% 31.82/20.70 tff(1054,plain,
% 31.82/20.70 (inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = inverse(sk_c1)),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1053])).
% 31.82/20.70 tff(1055,plain,
% 31.82/20.70 (inverse(sk_c1) = inverse(multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1054])).
% 31.82/20.70 tff(1056,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[664])).
% 31.82/20.70 tff(1057,plain,
% 31.82/20.70 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1056])).
% 31.82/20.70 tff(1058,plain,
% 31.82/20.70 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1057])).
% 31.82/20.70 tff(1059,plain,
% 31.82/20.70 (sk_c7 = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.70 inference(transitivity,[status(thm)],[974, 685, 699, 696, 689, 687, 601, 599, 597, 684, 632, 631, 1058])).
% 31.82/20.70 tff(1060,plain,
% 31.82/20.70 (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1059])).
% 31.82/20.70 tff(1061,plain,
% 31.82/20.70 (multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(sk_c1, sk_c7)),
% 31.82/20.70 inference(symmetry,[status(thm)],[1060])).
% 31.82/20.70 tff(1062,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1056])).
% 31.82/20.70 tff(1063,plain,
% 31.82/20.70 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1062])).
% 31.82/20.70 tff(1064,plain,
% 31.82/20.70 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)),
% 31.82/20.70 inference(monotonicity,[status(thm)],[496])).
% 31.82/20.70 tff(1065,plain,
% 31.82/20.70 (multiply(identity, identity) = multiply(multiply(sk_c7, sk_c3), identity)),
% 31.82/20.70 inference(symmetry,[status(thm)],[492])).
% 31.82/20.70 tff(1066,plain,
% 31.82/20.70 (identity = multiply(sk_c7, multiply(sk_c3, identity))),
% 31.82/20.70 inference(transitivity,[status(thm)],[834, 1065, 494])).
% 31.82/20.70 tff(1067,plain,
% 31.82/20.70 (multiply(sk_c3, identity) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1066])).
% 31.82/20.70 tff(1068,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))) = multiply(sk_c3, identity)),
% 31.82/20.70 inference(symmetry,[status(thm)],[1067])).
% 31.82/20.70 tff(1069,plain,
% 31.82/20.70 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[669, 1068])).
% 31.82/20.70 tff(1070,plain,
% 31.82/20.70 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.82/20.70 inference(transitivity,[status(thm)],[1069, 1014, 1064, 83, 86, 90, 77])).
% 31.82/20.70 tff(1071,plain,
% 31.82/20.70 (multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1070])).
% 31.82/20.70 tff(1072,plain,
% 31.82/20.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1073,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1072, 25])).
% 31.82/20.70 tff(1074,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7))),
% 31.82/20.70 inference(symmetry,[status(thm)],[670])).
% 31.82/20.70 tff(1075,plain,
% 31.82/20.70 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3), sk_c7)),
% 31.82/20.70 inference(symmetry,[status(thm)],[656])).
% 31.82/20.70 tff(1076,plain,
% 31.82/20.70 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7))),
% 31.82/20.70 inference(transitivity,[status(thm)],[668, 665, 1075, 658, 1074])).
% 31.82/20.70 tff(1077,plain,
% 31.82/20.70 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7)))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1076])).
% 31.82/20.70 tff(1078,plain,
% 31.82/20.70 (multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1077])).
% 31.82/20.70 tff(1079,plain,
% 31.82/20.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7))))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1080,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7)))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1079, 25])).
% 31.82/20.70 tff(1081,plain,
% 31.82/20.70 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))), sk_c7)),
% 31.82/20.70 inference(symmetry,[status(thm)],[665])).
% 31.82/20.70 tff(1082,plain,
% 31.82/20.70 (sk_c6 = multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))),
% 31.82/20.70 inference(transitivity,[status(thm)],[651, 650, 648, 645, 1081, 667])).
% 31.82/20.70 tff(1083,plain,
% 31.82/20.70 (multiply(multiply(sk_c6, sk_c3), sk_c6) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1082])).
% 31.82/20.70 tff(1084,plain,
% 31.82/20.70 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c6, sk_c3), sk_c6)),
% 31.82/20.70 inference(symmetry,[status(thm)],[1083])).
% 31.82/20.70 tff(1085,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), identity)),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1084, 683])).
% 31.82/20.70 tff(1086,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), identity) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, sk_c7))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1085])).
% 31.82/20.70 tff(1087,plain,
% 31.82/20.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), identity) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, identity)))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1088,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), identity) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, identity))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1087, 25])).
% 31.82/20.70 tff(1089,plain,
% 31.82/20.70 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, identity)) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c6), identity)),
% 31.82/20.70 inference(symmetry,[status(thm)],[1088])).
% 31.82/20.70 tff(1090,plain,
% 31.82/20.70 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, identity)) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[275])).
% 31.82/20.70 tff(1091,plain,
% 31.82/20.70 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, identity))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1090])).
% 31.82/20.70 tff(1092,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c3, identity)),
% 31.82/20.70 inference(monotonicity,[status(thm)],[610])).
% 31.82/20.70 tff(1093,plain,
% 31.82/20.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1094,plain,
% 31.82/20.70 (multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1093, 25])).
% 31.82/20.70 tff(1095,plain,
% 31.82/20.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), inverse(sk_c6)) = multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1096,plain,
% 31.82/20.70 (multiply(multiply(sk_c7, sk_c3), inverse(sk_c6)) = multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1095, 25])).
% 31.82/20.70 tff(1097,plain,
% 31.82/20.70 (multiply(multiply(sk_c7, sk_c3), inverse(sk_c6)) = multiply(identity, inverse(sk_c6))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[445])).
% 31.82/20.70 tff(1098,plain,
% 31.82/20.70 (multiply(identity, inverse(sk_c6)) = multiply(multiply(sk_c7, sk_c3), inverse(sk_c6))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1097])).
% 31.82/20.70 tff(1099,plain,
% 31.82/20.70 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, inverse(sk_c6)) = inverse(sk_c6))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1100,plain,
% 31.82/20.70 (multiply(identity, inverse(sk_c6)) = inverse(sk_c6)),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1099, 57])).
% 31.82/20.70 tff(1101,plain,
% 31.82/20.70 (inverse(sk_c6) = multiply(identity, inverse(sk_c6))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1100])).
% 31.82/20.70 tff(1102,plain,
% 31.82/20.70 (inverse(sk_c6) = multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))),
% 31.82/20.70 inference(transitivity,[status(thm)],[1101, 1098, 1096])).
% 31.82/20.70 tff(1103,plain,
% 31.82/20.70 (multiply(sk_c3, inverse(sk_c6)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1102])).
% 31.82/20.70 tff(1104,plain,
% 31.82/20.70 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))) = multiply(sk_c3, inverse(sk_c6))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1103])).
% 31.82/20.70 tff(1105,plain,
% 31.82/20.70 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1104, 593])).
% 31.82/20.70 tff(1106,plain,
% 31.82/20.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c7, multiply(sk_c6, sk_c3))))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1107,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1106, 25])).
% 31.82/20.70 tff(1108,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.82/20.70 inference(transitivity,[status(thm)],[1107, 1105, 1094, 1092, 1067])).
% 31.82/20.70 tff(1109,plain,
% 31.82/20.70 (multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1108])).
% 31.82/20.70 tff(1110,plain,
% 31.82/20.70 (multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1109])).
% 31.82/20.70 tff(1111,plain,
% 31.82/20.70 (multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1110])).
% 31.82/20.70 tff(1112,plain,
% 31.82/20.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1113,plain,
% 31.82/20.70 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1112, 25])).
% 31.82/20.70 tff(1114,plain,
% 31.82/20.70 (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.82/20.70 inference(transitivity,[status(thm)],[213, 112, 436, 465, 440])).
% 31.82/20.70 tff(1115,plain,
% 31.82/20.70 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity))),
% 31.82/20.70 inference(monotonicity,[status(thm)],[1114, 1068])).
% 31.82/20.70 tff(1116,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.82/20.70 inference(symmetry,[status(thm)],[1115])).
% 31.82/20.70 tff(1117,plain,
% 31.82/20.70 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.82/20.70 inference(quant_inst,[status(thm)],[])).
% 31.82/20.70 tff(1118,plain,
% 31.82/20.70 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.82/20.70 inference(unit_resolution,[status(thm)],[1117, 25])).
% 31.82/20.70 tff(1119,plain,
% 31.82/20.70 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1118])).
% 31.90/20.71 tff(1120,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity))) = multiply(multiply(sk_c6, identity), identity)),
% 31.90/20.71 inference(monotonicity,[status(thm)],[274, 496])).
% 31.90/20.71 tff(1121,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, identity), identity) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1120])).
% 31.90/20.71 tff(1122,plain,
% 31.90/20.71 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))),
% 31.90/20.71 inference(transitivity,[status(thm)],[274, 452, 450, 1121, 1119, 1116, 1113, 1111])).
% 31.90/20.71 tff(1123,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1122])).
% 31.90/20.71 tff(1124,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1123])).
% 31.90/20.71 tff(1125,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1126,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1125, 25])).
% 31.90/20.71 tff(1127,plain,
% 31.90/20.71 (multiply(sk_c6, multiply(sk_c3, sk_c7)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[652])).
% 31.90/20.71 tff(1128,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, sk_c3), sk_c7) = sk_c6),
% 31.90/20.71 inference(transitivity,[status(thm)],[896, 1127, 659, 656, 644, 647, 649, 629])).
% 31.90/20.71 tff(1129,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1128, 1109])).
% 31.90/20.71 tff(1130,plain,
% 31.90/20.71 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1129])).
% 31.90/20.71 tff(1131,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1132,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1131, 25])).
% 31.90/20.71 tff(1133,plain,
% 31.90/20.71 (multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c6, multiply(sk_c1, identity))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[76])).
% 31.90/20.71 tff(1134,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1133])).
% 31.90/20.71 tff(1135,plain,
% 31.90/20.71 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)),
% 31.90/20.71 inference(symmetry,[status(thm)],[903])).
% 31.90/20.71 tff(1136,plain,
% 31.90/20.71 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[652])).
% 31.90/20.71 tff(1137,plain,
% 31.90/20.71 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)),
% 31.90/20.71 inference(transitivity,[status(thm)],[1136, 1135, 1134])).
% 31.90/20.71 tff(1138,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, identity))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1137, 1068])).
% 31.90/20.71 tff(1139,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1138])).
% 31.90/20.71 tff(1140,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1141,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1140, 25])).
% 31.90/20.71 tff(1142,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, multiply(sk_c3, identity))) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, identity))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1141])).
% 31.90/20.71 tff(1143,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), identity) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1066])).
% 31.90/20.71 tff(1144,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity) = multiply(sk_c6, multiply(sk_c1, identity))),
% 31.90/20.71 inference(transitivity,[status(thm)],[917, 320])).
% 31.90/20.71 tff(1145,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity), identity) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), identity)),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1144])).
% 31.90/20.71 tff(1146,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, sk_c1), identity) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), multiply(identity, identity))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[915, 834])).
% 31.90/20.71 tff(1147,plain,
% 31.90/20.71 (multiply(sk_c6, multiply(sk_c1, identity)) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.90/20.71 inference(transitivity,[status(thm)],[919, 1146, 925, 1145, 1143, 1142, 1139, 1132, 1130, 1126, 1124, 1091, 1089, 1086, 1080, 1078])).
% 31.90/20.71 tff(1148,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1147])).
% 31.90/20.71 tff(1149,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c6)),
% 31.90/20.71 inference(monotonicity,[status(thm)],[675])).
% 31.90/20.71 tff(1150,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(sk_c6, multiply(sk_c1, identity))),
% 31.90/20.71 inference(transitivity,[status(thm)],[1149, 295, 300])).
% 31.90/20.71 tff(1151,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1150])).
% 31.90/20.71 tff(1152,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1153,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1152, 25])).
% 31.90/20.71 tff(1154,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1153])).
% 31.90/20.71 tff(1155,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1069])).
% 31.90/20.71 tff(1156,plain,
% 31.90/20.71 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1014])).
% 31.90/20.71 tff(1157,plain,
% 31.90/20.71 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1064])).
% 31.90/20.71 tff(1158,plain,
% 31.90/20.71 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.71 inference(transitivity,[status(thm)],[76, 91, 87, 84, 1157, 1156, 1155])).
% 31.90/20.71 tff(1159,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1158])).
% 31.90/20.71 tff(1160,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)) = multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1161,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)) = multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1160, 25])).
% 31.90/20.71 tff(1162,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), multiply(identity, inverse(sk_c6)))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[915, 1101])).
% 31.90/20.71 tff(1163,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), multiply(identity, inverse(sk_c6))) = multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1162])).
% 31.90/20.71 tff(1164,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity), inverse(sk_c6)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), multiply(identity, inverse(sk_c6))))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1165,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity), inverse(sk_c6)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), multiply(identity, inverse(sk_c6)))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1164, 25])).
% 31.90/20.71 tff(1166,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity), inverse(sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), inverse(sk_c6))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1144])).
% 31.90/20.71 tff(1167,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), inverse(sk_c6)) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity), inverse(sk_c6))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1166])).
% 31.90/20.71 tff(1168,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), inverse(sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1102])).
% 31.90/20.71 tff(1169,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), inverse(sk_c6))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1168])).
% 31.90/20.71 tff(1170,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1171,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1170, 25])).
% 31.90/20.71 tff(1172,plain,
% 31.90/20.71 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)),
% 31.90/20.71 inference(transitivity,[status(thm)],[1135, 1134])).
% 31.90/20.71 tff(1173,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1172, 1104])).
% 31.90/20.71 tff(1174,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))),
% 31.90/20.71 inference(transitivity,[status(thm)],[1173, 1171, 1169, 1167, 1165, 1163, 1161])).
% 31.90/20.71 tff(1175,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1174])).
% 31.90/20.71 tff(1176,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1177,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1176, 25])).
% 31.90/20.71 tff(1178,plain,
% 31.90/20.71 (multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1177])).
% 31.90/20.71 tff(1179,plain,
% 31.90/20.71 (multiply(sk_c1, inverse(sk_c6)) = multiply(multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)), inverse(sk_c6))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[914])).
% 31.90/20.71 tff(1180,plain,
% 31.90/20.71 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)), inverse(sk_c6)) = multiply(sk_c1, inverse(sk_c6))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1179])).
% 31.90/20.71 tff(1181,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)), inverse(sk_c6)) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1182,plain,
% 31.90/20.71 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)), inverse(sk_c6)) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1181, 25])).
% 31.90/20.71 tff(1183,plain,
% 31.90/20.71 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)), inverse(sk_c6))),
% 31.90/20.71 inference(symmetry,[status(thm)],[1182])).
% 31.90/20.71 tff(1184,plain,
% 31.90/20.71 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))) = multiply(sk_c1, inverse(sk_c6))),
% 31.90/20.71 inference(transitivity,[status(thm)],[1183, 1180])).
% 31.90/20.71 tff(1185,plain,
% 31.90/20.71 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c6) = multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6)),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1184])).
% 31.90/20.71 tff(1186,plain,
% 31.90/20.71 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c6) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.90/20.71 inference(transitivity,[status(thm)],[1185, 298])).
% 31.90/20.71 tff(1187,plain,
% 31.90/20.71 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c6), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1186])).
% 31.90/20.71 tff(1188,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c6), identity) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, identity)))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1189,plain,
% 31.90/20.71 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c6), identity) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, identity))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1188, 25])).
% 31.90/20.71 tff(1190,plain,
% 31.90/20.71 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, identity)) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c6), identity)),
% 31.90/20.71 inference(symmetry,[status(thm)],[1189])).
% 31.90/20.71 tff(1191,plain,
% 31.90/20.71 (multiply(sk_c7, multiply(sk_c6, sk_c3)) = multiply(sk_c6, identity)),
% 31.90/20.71 inference(transitivity,[status(thm)],[576, 554, 557, 559])).
% 31.90/20.71 tff(1192,plain,
% 31.90/20.71 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, identity))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1191])).
% 31.90/20.71 tff(1193,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(sk_c6, sk_c3))))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1194,plain,
% 31.90/20.71 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1193, 25])).
% 31.90/20.71 tff(1195,plain,
% 31.90/20.71 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(sk_c6, sk_c3)),
% 31.90/20.71 inference(symmetry,[status(thm)],[653])).
% 31.90/20.71 tff(1196,plain,
% 31.90/20.71 (multiply(sk_c1, identity) = multiply(sk_c6, sk_c3)),
% 31.90/20.71 inference(transitivity,[status(thm)],[91, 87, 84, 794, 793, 1195])).
% 31.90/20.71 tff(1197,plain,
% 31.90/20.71 (multiply(inverse(sk_c6), multiply(sk_c7, sk_c6)) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1114])).
% 31.90/20.71 tff(1198,plain,
% 31.90/20.71 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), sk_c7), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c7, sk_c6)))),
% 31.90/20.71 inference(quant_inst,[status(thm)],[])).
% 31.90/20.71 tff(1199,plain,
% 31.90/20.71 (multiply(multiply(inverse(sk_c6), sk_c7), sk_c6) = multiply(inverse(sk_c6), multiply(sk_c7, sk_c6))),
% 31.90/20.71 inference(unit_resolution,[status(thm)],[1198, 25])).
% 31.90/20.71 tff(1200,plain,
% 31.90/20.71 (multiply(multiply(inverse(sk_c6), sk_c7), sk_c6) = sk_c7),
% 31.90/20.71 inference(transitivity,[status(thm)],[1199, 1197, 614, 611, 215])).
% 31.90/20.71 tff(1201,plain,
% 31.90/20.71 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c7)),
% 31.90/20.71 inference(monotonicity,[status(thm)],[1200])).
% 31.90/20.72 tff(1202,plain,
% 31.90/20.72 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), multiply(sk_c1, identity)) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c7), multiply(sk_c6, sk_c3))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1201, 1196])).
% 31.90/20.72 tff(1203,plain,
% 31.90/20.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), multiply(sk_c1, identity)))),
% 31.90/20.72 inference(quant_inst,[status(thm)],[])).
% 31.90/20.72 tff(1204,plain,
% 31.90/20.72 (multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), multiply(sk_c1, identity))),
% 31.90/20.72 inference(unit_resolution,[status(thm)],[1203, 25])).
% 31.90/20.72 tff(1205,plain,
% 31.90/20.72 (multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.90/20.72 inference(transitivity,[status(thm)],[1204, 1202, 1194, 1192, 1190, 1187, 83, 86, 90, 77])).
% 31.90/20.72 tff(1206,plain,
% 31.90/20.72 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1205])).
% 31.90/20.72 tff(1207,plain,
% 31.90/20.72 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1134])).
% 31.90/20.72 tff(1208,plain,
% 31.90/20.72 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), multiply(identity, identity)) = multiply(multiply(sk_c6, sk_c1), identity)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1146])).
% 31.90/20.72 tff(1209,plain,
% 31.90/20.72 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), identity) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))), identity), identity)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1145])).
% 31.90/20.72 tff(1210,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c1, identity))),
% 31.90/20.72 inference(transitivity,[status(thm)],[908, 910, 1209, 924, 1208, 320])).
% 31.90/20.72 tff(1211,plain,
% 31.90/20.72 (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1210])).
% 31.90/20.72 tff(1212,plain,
% 31.90/20.72 (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, sk_c7)) = multiply(identity, multiply(sk_c3, sk_c7))),
% 31.90/20.72 inference(symmetry,[status(thm)],[679])).
% 31.90/20.72 tff(1213,plain,
% 31.90/20.72 (multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7))) = multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, sk_c7))),
% 31.90/20.72 inference(symmetry,[status(thm)],[674])).
% 31.90/20.72 tff(1214,plain,
% 31.90/20.72 (multiply(inverse(sk_c6), sk_c6) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7)))),
% 31.90/20.72 inference(symmetry,[status(thm)],[672])).
% 31.90/20.72 tff(1215,plain,
% 31.90/20.72 (identity = multiply(sk_c3, sk_c7)),
% 31.90/20.72 inference(transitivity,[status(thm)],[49, 1214, 1213, 1212, 681])).
% 31.90/20.72 tff(1216,plain,
% 31.90/20.72 (multiply(multiply(sk_c6, sk_c6), identity) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1137, 1215])).
% 31.90/20.72 tff(1217,plain,
% 31.90/20.72 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(sk_c6, identity))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1191])).
% 31.90/20.72 tff(1218,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(sk_c6, sk_c7)),
% 31.90/20.72 inference(transitivity,[status(thm)],[458, 773, 441, 439, 437])).
% 31.90/20.72 tff(1219,plain,
% 31.90/20.72 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c3))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1218])).
% 31.90/20.72 tff(1220,plain,
% 31.90/20.72 (multiply(sk_c6, identity) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[652, 1215])).
% 31.90/20.72 tff(1221,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(sk_c6, identity)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1220])).
% 31.90/20.72 tff(1222,assumption,(~(multiply(sk_c4, sk_c5) = sk_c6)), introduced(assumption)).
% 31.90/20.72 tff(1223,plain,
% 31.90/20.72 (((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 31.90/20.72 inference(rewrite,[status(thm)],[])).
% 31.90/20.72 tff(1224,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_15')).
% 31.90/20.72 tff(1225,plain,
% 31.90/20.72 ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.90/20.72 inference(modus_ponens,[status(thm)],[1224, 1223])).
% 31.90/20.72 tff(1226,plain,
% 31.90/20.72 (inverse(sk_c1) = sk_c7),
% 31.90/20.72 inference(unit_resolution,[status(thm)],[1225, 1222])).
% 31.90/20.72 tff(1227,plain,
% 31.90/20.72 (sk_c7 = inverse(sk_c1)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1226])).
% 31.90/20.72 tff(1228,plain,
% 31.90/20.72 (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1227])).
% 31.90/20.72 tff(1229,plain,
% 31.90/20.72 (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1228])).
% 31.90/20.72 tff(1230,plain,
% 31.90/20.72 (identity = multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.90/20.72 inference(transitivity,[status(thm)],[44, 1229, 712, 702])).
% 31.90/20.72 tff(1231,plain,
% 31.90/20.72 (multiply(identity, sk_c7) = multiply(multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), sk_c7)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1230])).
% 31.90/20.72 tff(1232,plain,
% 31.90/20.72 (sk_c7 = multiply(sk_c6, sk_c7)),
% 31.90/20.72 inference(transitivity,[status(thm)],[240, 1231, 725, 736, 739, 750, 213, 112])).
% 31.90/20.72 tff(1233,plain,
% 31.90/20.72 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7) = sk_c6),
% 31.90/20.72 inference(transitivity,[status(thm)],[758, 647, 757, 629])).
% 31.90/20.72 tff(1234,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(sk_c6, identity)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1233, 942])).
% 31.90/20.72 tff(1235,plain,
% 31.90/20.72 (multiply(sk_c6, identity) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1234])).
% 31.90/20.72 tff(1236,plain,
% 31.90/20.72 (multiply(multiply(identity, sk_c7), multiply(sk_c6, sk_c3)) = multiply(sk_c7, multiply(sk_c6, sk_c3))),
% 31.90/20.72 inference(symmetry,[status(thm)],[876])).
% 31.90/20.72 tff(1237,plain,
% 31.90/20.72 (multiply(identity, multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(identity, sk_c7), multiply(sk_c6, sk_c3))),
% 31.90/20.72 inference(symmetry,[status(thm)],[875])).
% 31.90/20.72 tff(1238,plain,
% 31.90/20.72 (identity = multiply(sk_c7, sk_c1)),
% 31.90/20.72 inference(transitivity,[status(thm)],[44, 1229])).
% 31.90/20.72 tff(1239,plain,
% 31.90/20.72 (multiply(identity, multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1238, 872])).
% 31.90/20.72 tff(1240,plain,
% 31.90/20.72 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(identity, multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1239])).
% 31.90/20.72 tff(1241,plain,
% 31.90/20.72 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.72 inference(symmetry,[status(thm)],[867])).
% 31.90/20.72 tff(1242,plain,
% 31.90/20.72 (multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c3))),
% 31.90/20.72 inference(symmetry,[status(thm)],[953])).
% 31.90/20.72 tff(1243,plain,
% 31.90/20.72 (multiply(sk_c6, sk_c6) = sk_c6),
% 31.90/20.72 inference(transitivity,[status(thm)],[900, 1135, 905, 929, 932, 944, 947, 950, 1242, 955, 1241, 869, 1240, 1237, 1236, 576, 820, 557, 817, 1235, 659, 892, 758, 647, 757, 629])).
% 31.90/20.72 tff(1244,plain,
% 31.90/20.72 ((multiply(sk_c6, sk_c6) = sk_c7) <=> (sk_c6 = multiply(sk_c6, sk_c7))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1243, 1232])).
% 31.90/20.72 tff(1245,plain,
% 31.90/20.72 ((multiply(sk_c6, sk_c6) = sk_c7) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 31.90/20.72 inference(transitivity,[status(thm)],[1244, 1])).
% 31.90/20.72 tff(1246,plain,
% 31.90/20.72 ((multiply(sk_c6, sk_c7) = sk_c6) <=> (multiply(sk_c6, sk_c6) = sk_c7)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1245])).
% 31.90/20.72 tff(1247,plain,
% 31.90/20.72 (((multiply(sk_c2, sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((multiply(sk_c2, sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 31.90/20.72 inference(rewrite,[status(thm)],[])).
% 31.90/20.72 tff(1248,axiom,((multiply(sk_c2, sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_20')).
% 31.90/20.72 tff(1249,plain,
% 31.90/20.72 ((multiply(sk_c2, sk_c7) = sk_c5) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.90/20.72 inference(modus_ponens,[status(thm)],[1248, 1247])).
% 31.90/20.72 tff(1250,plain,
% 31.90/20.72 (multiply(sk_c2, sk_c7) = sk_c5),
% 31.90/20.72 inference(unit_resolution,[status(thm)],[1249, 1222])).
% 31.90/20.72 tff(1251,plain,
% 31.90/20.72 (multiply(sk_c2, sk_c7) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.90/20.72 inference(transitivity,[status(thm)],[1250, 112, 778, 465, 776])).
% 31.90/20.72 tff(1252,plain,
% 31.90/20.72 (multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1251, 799])).
% 31.90/20.72 tff(1253,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c2, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1252])).
% 31.90/20.72 tff(1254,plain,
% 31.90/20.72 (multiply(sk_c7, sk_c1) = identity),
% 31.90/20.72 inference(transitivity,[status(thm)],[1228, 43])).
% 31.90/20.72 tff(1255,plain,
% 31.90/20.72 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(identity, multiply(sk_c1, identity))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1254, 760])).
% 31.90/20.72 tff(1256,plain,
% 31.90/20.72 (multiply(identity, multiply(sk_c1, identity)) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1255])).
% 31.90/20.72 tff(1257,plain,
% 31.90/20.72 (multiply(sk_c6, sk_c3) = multiply(sk_c2, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.72 inference(transitivity,[status(thm)],[791, 643, 641, 795, 86, 90, 813, 634, 1256, 862, 861, 860, 1253, 852, 850])).
% 31.90/20.72 tff(1258,plain,
% 31.90/20.72 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c2, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1257])).
% 31.90/20.72 tff(1259,plain,
% 31.90/20.72 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c2, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1258])).
% 31.90/20.72 tff(1260,plain,
% 31.90/20.72 (multiply(identity, identity) = multiply(multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), identity)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1230])).
% 31.90/20.72 tff(1261,plain,
% 31.90/20.72 (((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)) <=> ((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6))),
% 31.90/20.72 inference(rewrite,[status(thm)],[])).
% 31.90/20.72 tff(1262,axiom,((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_25')).
% 31.90/20.72 tff(1263,plain,
% 31.90/20.72 ((inverse(sk_c2) = sk_c7) | (multiply(sk_c4, sk_c5) = sk_c6)),
% 31.90/20.72 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 31.90/20.72 tff(1264,plain,
% 31.90/20.72 (inverse(sk_c2) = sk_c7),
% 31.90/20.72 inference(unit_resolution,[status(thm)],[1263, 1222])).
% 31.90/20.72 tff(1265,plain,
% 31.90/20.72 (sk_c7 = inverse(sk_c2)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1264])).
% 31.90/20.72 tff(1266,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), sk_c7) = multiply(identity, sk_c7)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1231])).
% 31.90/20.72 tff(1267,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = inverse(sk_c2)),
% 31.90/20.72 inference(transitivity,[status(thm)],[458, 773, 775, 439, 777, 111, 330, 751, 740, 737, 726, 1266, 215, 1265])).
% 31.90/20.72 tff(1268,plain,
% 31.90/20.72 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1267])).
% 31.90/20.72 tff(1269,plain,
% 31.90/20.72 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c2) = multiply(sk_c6, identity)),
% 31.90/20.72 inference(transitivity,[status(thm)],[1268, 337, 834, 1260, 832, 830, 824, 822, 576, 820, 557, 817])).
% 31.90/20.72 tff(1270,plain,
% 31.90/20.72 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c2), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, identity), multiply(sk_c1, identity))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1269, 760])).
% 31.90/20.72 tff(1271,plain,
% 31.90/20.72 (multiply(multiply(sk_c6, identity), multiply(sk_c1, identity)) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c2), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1270])).
% 31.90/20.72 tff(1272,plain,
% 31.90/20.72 (multiply(sk_c3, sk_c6) = sk_c6),
% 31.90/20.72 inference(transitivity,[status(thm)],[963, 699, 970, 689, 965, 601, 962, 597, 961, 1256, 862, 861, 860, 810, 959, 1271, 845, 1259, 1241, 869, 1240, 1237, 1236, 576, 820, 557, 817, 1235, 659, 892, 758, 647, 757, 629])).
% 31.90/20.72 tff(1273,plain,
% 31.90/20.72 ((multiply(sk_c3, sk_c6) = sk_c7) <=> (sk_c6 = multiply(sk_c6, sk_c7))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1272, 1232])).
% 31.90/20.72 tff(1274,plain,
% 31.90/20.72 ((multiply(sk_c3, sk_c6) = sk_c7) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 31.90/20.72 inference(transitivity,[status(thm)],[1273, 1])).
% 31.90/20.72 tff(1275,plain,
% 31.90/20.72 ((multiply(sk_c3, sk_c6) = sk_c7) <=> (multiply(sk_c6, sk_c6) = sk_c7)),
% 31.90/20.72 inference(transitivity,[status(thm)],[1274, 1246])).
% 31.90/20.72 tff(1276,plain,
% 31.90/20.72 (multiply(identity, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1238, 766])).
% 31.90/20.72 tff(1277,plain,
% 31.90/20.72 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))) = multiply(identity, multiply(sk_c7, sk_c6))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1276])).
% 31.90/20.72 tff(1278,plain,
% 31.90/20.72 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c6, sk_c3)),
% 31.90/20.72 inference(transitivity,[status(thm)],[274, 816, 558, 819, 552, 876, 875, 1239, 870, 867, 1258, 846, 1270, 815, 811, 808, 804, 802, 1255, 661, 759, 91, 87, 796, 794, 793, 792])).
% 31.90/20.72 tff(1279,plain,
% 31.90/20.72 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c6, sk_c3), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1278, 789])).
% 31.90/20.72 tff(1280,plain,
% 31.90/20.72 (multiply(multiply(sk_c6, sk_c3), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c6))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1279])).
% 31.90/20.72 tff(1281,plain,
% 31.90/20.72 (multiply(sk_c3, sk_c6) = sk_c7),
% 31.90/20.72 inference(transitivity,[status(thm)],[963, 699, 970, 689, 965, 601, 962, 597, 961, 1256, 862, 861, 860, 810, 959, 1271, 845, 1259, 956, 953, 951, 948, 945, 933, 930, 906, 903, 901, 899, 889, 887, 1280, 788, 785, 782, 771, 1277, 756, 753, 751, 740, 737, 726, 1266, 215])).
% 31.90/20.72 tff(1282,plain,
% 31.90/20.72 (multiply(sk_c6, sk_c6) = sk_c7),
% 31.90/20.72 inference(modus_ponens,[status(thm)],[1281, 1275])).
% 31.90/20.72 tff(1283,plain,
% 31.90/20.72 (multiply(sk_c6, sk_c7) = sk_c6),
% 31.90/20.72 inference(modus_ponens,[status(thm)],[1281, 1274])).
% 31.90/20.72 tff(1284,plain,
% 31.90/20.72 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, sk_c7)))) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(sk_c3, sk_c7)))),
% 31.90/20.72 inference(symmetry,[status(thm)],[889])).
% 31.90/20.72 tff(1285,plain,
% 31.90/20.72 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))) = multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.90/20.72 inference(symmetry,[status(thm)],[771])).
% 31.90/20.72 tff(1286,plain,
% 31.90/20.72 (sk_c7 = sk_c6),
% 31.90/20.72 inference(transitivity,[status(thm)],[240, 1231, 725, 736, 739, 750, 752, 755, 1276, 1285, 781, 784, 787, 1279, 886, 1284, 898, 900, 1135, 905, 929, 932, 944, 947, 950, 1242, 955, 1241, 869, 1240, 1237, 1236, 576, 820, 557, 817, 1235, 659, 892, 758, 647, 757, 629])).
% 31.90/20.72 tff(1287,plain,
% 31.90/20.72 ((inverse(sk_c6) = sk_c7) <=> (inverse(sk_c6) = sk_c6)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1286])).
% 31.90/20.72 tff(1288,plain,
% 31.90/20.72 ((inverse(sk_c6) = sk_c6) <=> (inverse(sk_c6) = sk_c7)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1287])).
% 31.90/20.72 tff(1289,plain,
% 31.90/20.72 (multiply(identity, sk_c1) = multiply(multiply(sk_c7, sk_c1), sk_c1)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1238])).
% 31.90/20.72 tff(1290,plain,
% 31.90/20.72 (multiply(multiply(sk_c7, sk_c1), sk_c1) = multiply(identity, sk_c1)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1289])).
% 31.90/20.72 tff(1291,plain,
% 31.90/20.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c1) = multiply(sk_c7, multiply(sk_c1, sk_c1)))),
% 31.90/20.72 inference(quant_inst,[status(thm)],[])).
% 31.90/20.72 tff(1292,plain,
% 31.90/20.72 (multiply(multiply(sk_c7, sk_c1), sk_c1) = multiply(sk_c7, multiply(sk_c1, sk_c1))),
% 31.90/20.72 inference(unit_resolution,[status(thm)],[1291, 25])).
% 31.90/20.72 tff(1293,plain,
% 31.90/20.72 (multiply(sk_c7, multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c7, sk_c1), sk_c1)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1292])).
% 31.90/20.72 tff(1294,plain,
% 31.90/20.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1) = multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c1)))),
% 31.90/20.72 inference(quant_inst,[status(thm)],[])).
% 31.90/20.72 tff(1295,plain,
% 31.90/20.72 (multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1) = multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c1))),
% 31.90/20.72 inference(unit_resolution,[status(thm)],[1294, 25])).
% 31.90/20.72 tff(1296,plain,
% 31.90/20.72 (multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c1)) = multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1295])).
% 31.90/20.72 tff(1297,plain,
% 31.90/20.72 (multiply(sk_c3, sk_c1) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))),
% 31.90/20.72 inference(symmetry,[status(thm)],[708])).
% 31.90/20.72 tff(1298,plain,
% 31.90/20.72 (multiply(sk_c3, multiply(identity, sk_c1)) = multiply(sk_c3, sk_c1)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[59])).
% 31.90/20.72 tff(1299,plain,
% 31.90/20.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), sk_c1) = multiply(sk_c3, multiply(identity, sk_c1)))),
% 31.90/20.72 inference(quant_inst,[status(thm)],[])).
% 31.90/20.72 tff(1300,plain,
% 31.90/20.72 (multiply(multiply(sk_c3, identity), sk_c1) = multiply(sk_c3, multiply(identity, sk_c1))),
% 31.90/20.72 inference(unit_resolution,[status(thm)],[1299, 25])).
% 31.90/20.72 tff(1301,plain,
% 31.90/20.72 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c1) = multiply(multiply(sk_c3, identity), sk_c1)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[497])).
% 31.90/20.72 tff(1302,plain,
% 31.90/20.72 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c1) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))),
% 31.90/20.72 inference(transitivity,[status(thm)],[1301, 1300, 1298, 1297])).
% 31.90/20.72 tff(1303,plain,
% 31.90/20.72 (multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c1)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1302])).
% 31.90/20.72 tff(1304,plain,
% 31.90/20.72 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c1))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1303])).
% 31.90/20.72 tff(1305,plain,
% 31.90/20.72 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[790, 708])).
% 31.90/20.72 tff(1306,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1305])).
% 31.90/20.72 tff(1307,plain,
% 31.90/20.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.90/20.72 inference(quant_inst,[status(thm)],[])).
% 31.90/20.72 tff(1308,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, sk_c1)))),
% 31.90/20.72 inference(unit_resolution,[status(thm)],[1307, 25])).
% 31.90/20.72 tff(1309,plain,
% 31.90/20.72 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, sk_c1))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1308])).
% 31.90/20.72 tff(1310,plain,
% 31.90/20.72 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c1, identity), sk_c1)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[760, 707])).
% 31.90/20.72 tff(1311,plain,
% 31.90/20.72 (multiply(multiply(sk_c1, identity), sk_c1) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, sk_c1)))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1310])).
% 31.90/20.72 tff(1312,plain,
% 31.90/20.72 (multiply(sk_c1, sk_c1) = multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1)),
% 31.90/20.72 inference(transitivity,[status(thm)],[1051, 309, 1311, 1309, 1306, 1304, 1296])).
% 31.90/20.72 tff(1313,plain,
% 31.90/20.72 (multiply(sk_c7, multiply(sk_c1, sk_c1)) = multiply(sk_c7, multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1312])).
% 31.90/20.72 tff(1314,plain,
% 31.90/20.72 (multiply(sk_c7, multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1)) = multiply(sk_c7, multiply(sk_c1, sk_c1))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1313])).
% 31.90/20.72 tff(1315,plain,
% 31.90/20.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))), sk_c1) = multiply(sk_c7, multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1)))),
% 31.90/20.72 inference(quant_inst,[status(thm)],[])).
% 31.90/20.72 tff(1316,plain,
% 31.90/20.72 (multiply(multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))), sk_c1) = multiply(sk_c7, multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1))),
% 31.90/20.72 inference(unit_resolution,[status(thm)],[1315, 25])).
% 31.90/20.72 tff(1317,plain,
% 31.90/20.72 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[882, 497])).
% 31.90/20.72 tff(1318,plain,
% 31.90/20.72 (multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.72 inference(symmetry,[status(thm)],[1113])).
% 31.90/20.72 tff(1319,plain,
% 31.90/20.72 (multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6)),
% 31.90/20.72 inference(transitivity,[status(thm)],[1318, 1317, 1118, 1120, 449, 451, 275, 273])).
% 31.90/20.72 tff(1320,plain,
% 31.90/20.72 (multiply(multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))), sk_c1) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6), sk_c1)),
% 31.90/20.72 inference(monotonicity,[status(thm)],[1319])).
% 31.90/20.72 tff(1321,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6), sk_c1) = multiply(multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))), sk_c1)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1320])).
% 31.90/20.72 tff(1322,plain,
% 31.90/20.72 (multiply(identity, sk_c1) = multiply(multiply(sk_c7, sk_c3), sk_c1)),
% 31.90/20.72 inference(symmetry,[status(thm)],[703])).
% 31.90/20.72 tff(1323,plain,
% 31.90/20.72 (sk_c1 = multiply(sk_c7, multiply(sk_c3, sk_c1))),
% 31.90/20.72 inference(transitivity,[status(thm)],[60, 1322, 705])).
% 31.90/20.72 tff(1324,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6), sk_c1) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, sk_c1)))),
% 31.90/20.72 inference(monotonicity,[status(thm)],[272, 1323])).
% 31.90/20.72 tff(1325,plain,
% 31.90/20.72 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, sk_c1))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6), sk_c1)),
% 31.90/20.72 inference(symmetry,[status(thm)],[1324])).
% 31.90/20.72 tff(1326,plain,
% 31.90/20.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.90/20.72 inference(quant_inst,[status(thm)],[])).
% 31.90/20.72 tff(1327,plain,
% 31.90/20.72 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, sk_c1)))),
% 31.90/20.72 inference(unit_resolution,[status(thm)],[1326, 25])).
% 31.90/20.72 tff(1328,plain,
% 31.90/20.72 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c7)))),
% 31.90/20.73 inference(quant_inst,[status(thm)],[])).
% 31.90/20.73 tff(1329,plain,
% 31.90/20.73 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c7))),
% 31.90/20.73 inference(unit_resolution,[status(thm)],[1328, 25])).
% 31.90/20.73 tff(1330,plain,
% 31.90/20.73 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c7) = multiply(sk_c6, sk_c7)),
% 31.90/20.73 inference(monotonicity,[status(thm)],[1233])).
% 31.90/20.73 tff(1331,plain,
% 31.90/20.73 (multiply(sk_c6, sk_c7) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c7)),
% 31.90/20.73 inference(symmetry,[status(thm)],[1330])).
% 31.90/20.73 tff(1332,plain,
% 31.90/20.73 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c7))),
% 31.90/20.73 inference(transitivity,[status(thm)],[775, 439, 777, 1331, 1329])).
% 31.90/20.73 tff(1333,plain,
% 31.90/20.73 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1)) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.90/20.73 inference(monotonicity,[status(thm)],[1332, 1297])).
% 31.90/20.73 tff(1334,plain,
% 31.90/20.73 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1))),
% 31.90/20.73 inference(symmetry,[status(thm)],[1333])).
% 31.90/20.73 tff(1335,plain,
% 31.90/20.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))))),
% 31.90/20.73 inference(quant_inst,[status(thm)],[])).
% 31.90/20.73 tff(1336,plain,
% 31.90/20.73 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))),
% 31.90/20.73 inference(unit_resolution,[status(thm)],[1335, 25])).
% 31.90/20.73 tff(1337,plain,
% 31.90/20.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.90/20.73 inference(symmetry,[status(thm)],[1336])).
% 31.90/20.73 tff(1338,plain,
% 31.90/20.73 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = identity),
% 31.90/20.73 inference(transitivity,[status(thm)],[701, 711, 1228, 43])).
% 31.90/20.73 tff(1339,plain,
% 31.90/20.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)),
% 31.90/20.73 inference(monotonicity,[status(thm)],[1338])).
% 31.90/20.73 tff(1340,plain,
% 31.90/20.73 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))),
% 31.90/20.73 inference(symmetry,[status(thm)],[1339])).
% 31.90/20.73 tff(1341,plain,
% 31.90/20.73 (sk_c6 = sk_c1),
% 31.90/20.73 inference(transitivity,[status(thm)],[651, 729, 648, 728, 891, 658, 1234, 816, 558, 819, 552, 876, 875, 1239, 870, 867, 1258, 846, 1270, 815, 811, 808, 804, 802, 1255, 661, 759, 91, 87, 796, 1340, 1337, 1334, 1327, 1325, 1321, 1316, 1314, 1293, 1290, 59])).
% 31.90/20.73 tff(1342,plain,
% 31.90/20.73 (inverse(sk_c6) = inverse(sk_c1)),
% 31.90/20.73 inference(monotonicity,[status(thm)],[1341])).
% 31.90/20.73 tff(1343,plain,
% 31.90/20.73 (inverse(sk_c6) = sk_c6),
% 31.90/20.73 inference(transitivity,[status(thm)],[1342, 1226, 240, 1231, 725, 736, 739, 750, 752, 755, 1276, 1285, 781, 784, 787, 1279, 886, 1284, 898, 900, 1135, 905, 929, 932, 944, 947, 950, 1242, 955, 1241, 869, 1240, 1237, 1236, 576, 820, 557, 817, 1235, 659, 892, 758, 647, 757, 629])).
% 31.90/20.73 tff(1344,plain,
% 31.90/20.73 (inverse(sk_c6) = sk_c7),
% 31.90/20.73 inference(modus_ponens,[status(thm)],[1343, 1288])).
% 31.90/20.73 tff(1345,plain,
% 31.90/20.73 (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c6)),
% 31.90/20.73 inference(monotonicity,[status(thm)],[954])).
% 31.90/20.73 tff(1346,plain,
% 31.90/20.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6)))),
% 31.90/20.73 inference(quant_inst,[status(thm)],[])).
% 31.90/20.73 tff(1347,plain,
% 31.90/20.73 (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 31.90/20.73 inference(unit_resolution,[status(thm)],[1346, 25])).
% 31.90/20.73 tff(1348,plain,
% 31.90/20.73 (multiply(sk_c6, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c6, sk_c7), sk_c6)),
% 31.90/20.73 inference(symmetry,[status(thm)],[1347])).
% 31.90/20.73 tff(1349,plain,
% 31.90/20.73 (multiply(sk_c6, sk_c5) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 31.90/20.73 inference(monotonicity,[status(thm)],[330])).
% 31.90/20.73 tff(1350,plain,
% 31.90/20.73 (multiply(sk_c6, sk_c5) = multiply(sk_c6, sk_c7)),
% 31.90/20.73 inference(transitivity,[status(thm)],[1349, 1348, 1345, 782, 771, 1277, 756, 753, 213, 112])).
% 31.90/20.73 tff(1351,plain,
% 31.90/20.73 ((multiply(sk_c6, sk_c5) = sk_c6) <=> (multiply(sk_c6, sk_c7) = sk_c6)),
% 31.90/20.73 inference(monotonicity,[status(thm)],[1350])).
% 31.90/20.73 tff(1352,plain,
% 31.90/20.73 ((multiply(sk_c6, sk_c7) = sk_c6) <=> (multiply(sk_c6, sk_c5) = sk_c6)),
% 31.90/20.73 inference(symmetry,[status(thm)],[1351])).
% 31.90/20.73 tff(1353,plain,
% 31.90/20.73 ((multiply(sk_c3, sk_c6) = sk_c7) <=> (multiply(sk_c6, sk_c5) = sk_c6)),
% 31.90/20.73 inference(transitivity,[status(thm)],[1274, 1352])).
% 31.90/20.73 tff(1354,plain,
% 31.90/20.73 (multiply(sk_c6, sk_c5) = sk_c6),
% 31.90/20.73 inference(modus_ponens,[status(thm)],[1281, 1353])).
% 31.90/20.73 tff(1355,plain,
% 31.90/20.73 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)))),
% 31.90/20.73 inference(rewrite,[status(thm)],[])).
% 31.90/20.73 tff(1356,plain,
% 31.90/20.73 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)))),
% 31.90/20.73 inference(rewrite,[status(thm)],[])).
% 31.90/20.73 tff(1357,plain,
% 31.90/20.73 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7))))),
% 31.90/20.73 inference(monotonicity,[status(thm)],[1356])).
% 31.90/20.73 tff(1358,plain,
% 31.90/20.73 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)))),
% 31.90/20.73 inference(transitivity,[status(thm)],[1357, 1355])).
% 31.90/20.73 tff(1359,plain,
% 31.90/20.73 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6)))),
% 31.90/20.73 inference(quant_inst,[status(thm)],[])).
% 31.90/20.73 tff(1360,plain,
% 31.90/20.73 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7))),
% 31.90/20.73 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 31.90/20.73 tff(1361,plain,
% 31.90/20.73 ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7))),
% 31.90/20.73 inference(unit_resolution,[status(thm)],[1360, 394])).
% 31.90/20.73 tff(1362,plain,
% 31.90/20.73 ((~(multiply(sk_c6, sk_c5) = sk_c6)) | (~(inverse(sk_c6) = sk_c6)) | (~(inverse(sk_c6) = sk_c7)) | (~(multiply(sk_c6, sk_c7) = sk_c6)) | (~(multiply(sk_c6, sk_c6) = sk_c7))),
% 31.90/20.73 inference(unit_resolution,[status(thm)],[1361, 111, 213])).
% 31.90/20.73 tff(1363,plain,
% 31.90/20.73 ($false),
% 31.90/20.73 inference(unit_resolution,[status(thm)],[1362, 1354, 1343, 1344, 1283, 1282])).
% 31.90/20.73 tff(1364,plain,(multiply(sk_c4, sk_c5) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 31.90/20.73 tff(1365,plain,
% 31.90/20.73 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = sk_c5),
% 31.90/20.73 inference(transitivity,[status(thm)],[458, 773, 441, 439, 437, 111])).
% 31.90/20.73 tff(1366,plain,
% 31.90/20.73 (multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(sk_c4, sk_c5)),
% 31.90/20.73 inference(monotonicity,[status(thm)],[1365])).
% 31.90/20.73 tff(1367,plain,
% 31.90/20.73 (multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(sk_c6, identity)),
% 31.90/20.73 inference(transitivity,[status(thm)],[1366, 1364, 651, 650, 648, 645, 1075, 658, 1221])).
% 31.90/20.73 tff(1368,plain,
% 31.90/20.73 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, identity))),
% 31.90/20.73 inference(monotonicity,[status(thm)],[1367])).
% 31.90/20.73 tff(1369,plain,
% 31.90/20.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))))),
% 31.90/20.73 inference(quant_inst,[status(thm)],[])).
% 31.90/20.73 tff(1370,plain,
% 31.90/20.73 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c4, multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))))),
% 31.90/20.73 inference(unit_resolution,[status(thm)],[1369, 25])).
% 31.90/20.73 tff(1371,plain,
% 31.90/20.73 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(sk_c6, sk_c3)),
% 31.90/20.73 inference(transitivity,[status(thm)],[1370, 1368, 1190, 1187, 794, 793, 1195])).
% 31.90/20.73 tff(1372,plain,
% 31.90/20.73 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3))),
% 31.90/20.73 inference(monotonicity,[status(thm)],[1371])).
% 31.90/20.73 tff(1373,plain,
% 31.90/20.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))))),
% 31.90/20.73 inference(quant_inst,[status(thm)],[])).
% 31.90/20.73 tff(1374,plain,
% 31.90/20.73 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))))),
% 31.90/20.73 inference(unit_resolution,[status(thm)],[1373, 25])).
% 31.90/20.73 tff(1375,plain,
% 31.90/20.73 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.90/20.73 inference(transitivity,[status(thm)],[1374, 1372, 1219, 953, 1217, 948, 1216, 933, 1211, 1207, 903])).
% 31.90/20.73 tff(1376,plain,
% 31.90/20.73 (multiply(multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.90/20.73 inference(monotonicity,[status(thm)],[1375, 1206])).
% 31.90/20.73 tff(1377,plain,
% 31.90/20.73 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))))),
% 31.90/20.73 inference(quant_inst,[status(thm)],[])).
% 31.90/20.73 tff(1378,plain,
% 31.90/20.73 (multiply(multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))))),
% 31.90/20.74 inference(unit_resolution,[status(thm)],[1377, 25])).
% 31.90/20.74 tff(1379,plain,
% 31.90/20.74 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))) = multiply(multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1378])).
% 31.90/20.74 tff(1380,plain,
% 31.90/20.74 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1206])).
% 31.90/20.74 tff(1381,plain,
% 31.90/20.74 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1380])).
% 31.90/20.74 tff(1382,plain,
% 31.90/20.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.90/20.74 inference(quant_inst,[status(thm)],[])).
% 31.90/20.74 tff(1383,plain,
% 31.90/20.74 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.90/20.74 inference(unit_resolution,[status(thm)],[1382, 25])).
% 31.90/20.74 tff(1384,plain,
% 31.90/20.74 (multiply(sk_c6, inverse(sk_c6)) = multiply(sk_c6, multiply(identity, inverse(sk_c6)))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1101])).
% 31.90/20.74 tff(1385,plain,
% 31.90/20.74 (multiply(sk_c6, multiply(identity, inverse(sk_c6))) = multiply(sk_c6, inverse(sk_c6))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1384])).
% 31.90/20.74 tff(1386,plain,
% 31.90/20.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), inverse(sk_c6)) = multiply(sk_c6, multiply(identity, inverse(sk_c6))))),
% 31.90/20.74 inference(quant_inst,[status(thm)],[])).
% 31.90/20.74 tff(1387,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, identity), inverse(sk_c6)) = multiply(sk_c6, multiply(identity, inverse(sk_c6)))),
% 31.90/20.74 inference(unit_resolution,[status(thm)],[1386, 25])).
% 31.90/20.74 tff(1388,plain,
% 31.90/20.74 (multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(sk_c7, sk_c3), inverse(sk_c6))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1096])).
% 31.90/20.74 tff(1389,plain,
% 31.90/20.74 (multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))) = inverse(sk_c6)),
% 31.90/20.74 inference(transitivity,[status(thm)],[1388, 1097, 1100])).
% 31.90/20.74 tff(1390,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))) = multiply(multiply(sk_c6, identity), inverse(sk_c6))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[274, 1389])).
% 31.90/20.74 tff(1391,plain,
% 31.90/20.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.74 inference(quant_inst,[status(thm)],[])).
% 31.90/20.74 tff(1392,plain,
% 31.90/20.74 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.90/20.74 inference(unit_resolution,[status(thm)],[1391, 25])).
% 31.90/20.74 tff(1393,plain,
% 31.90/20.74 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[783, 1104])).
% 31.90/20.74 tff(1394,plain,
% 31.90/20.74 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(sk_c6, inverse(sk_c6))),
% 31.90/20.74 inference(transitivity,[status(thm)],[1393, 1392, 1390, 1387, 1385])).
% 31.90/20.74 tff(1395,plain,
% 31.90/20.74 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1394])).
% 31.90/20.74 tff(1396,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1395])).
% 31.90/20.74 tff(1397,plain,
% 31.90/20.74 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)),
% 31.90/20.74 inference(monotonicity,[status(thm)],[669])).
% 31.90/20.74 tff(1398,plain,
% 31.90/20.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)),
% 31.90/20.74 inference(symmetry,[status(thm)],[1397])).
% 31.90/20.74 tff(1399,plain,
% 31.90/20.74 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)),
% 31.90/20.74 inference(transitivity,[status(thm)],[76, 91, 87, 84, 794, 793, 1398])).
% 31.90/20.74 tff(1400,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1399])).
% 31.90/20.74 tff(1401,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1400])).
% 31.90/20.74 tff(1402,plain,
% 31.90/20.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)))),
% 31.90/20.74 inference(quant_inst,[status(thm)],[])).
% 31.90/20.74 tff(1403,plain,
% 31.90/20.74 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3))),
% 31.90/20.74 inference(unit_resolution,[status(thm)],[1402, 25])).
% 31.90/20.74 tff(1404,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6)),
% 31.90/20.74 inference(monotonicity,[status(thm)],[675])).
% 31.90/20.74 tff(1405,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))),
% 31.90/20.74 inference(transitivity,[status(thm)],[1404, 272])).
% 31.90/20.74 tff(1406,plain,
% 31.90/20.74 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c3)),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1405])).
% 31.90/20.74 tff(1407,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c3) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3)),
% 31.90/20.74 inference(symmetry,[status(thm)],[1406])).
% 31.90/20.74 tff(1408,plain,
% 31.90/20.74 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.90/20.74 inference(transitivity,[status(thm)],[274, 1220, 659, 656])).
% 31.90/20.74 tff(1409,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c3) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3)),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1408])).
% 31.90/20.74 tff(1410,plain,
% 31.90/20.74 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), sk_c3) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c3)),
% 31.90/20.74 inference(symmetry,[status(thm)],[1409])).
% 31.90/20.74 tff(1411,plain,
% 31.90/20.74 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))),
% 31.90/20.74 inference(transitivity,[status(thm)],[76, 91, 87, 84, 794, 793, 1410, 1407, 1403, 1401, 1396, 1383, 1381])).
% 31.90/20.74 tff(1412,plain,
% 31.90/20.74 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1411])).
% 31.90/20.74 tff(1413,plain,
% 31.90/20.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))), sk_c4) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))),
% 31.90/20.74 inference(quant_inst,[status(thm)],[])).
% 31.90/20.74 tff(1414,plain,
% 31.90/20.74 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))), sk_c4) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))),
% 31.90/20.74 inference(unit_resolution,[status(thm)],[1413, 25])).
% 31.90/20.74 tff(1415,plain,
% 31.90/20.74 (multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))) = multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1161])).
% 31.90/20.74 tff(1416,plain,
% 31.90/20.74 (multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1415])).
% 31.90/20.74 tff(1417,plain,
% 31.90/20.74 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))), sk_c4) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1416])).
% 31.90/20.74 tff(1418,plain,
% 31.90/20.74 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4) = multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))), sk_c4)),
% 31.90/20.74 inference(symmetry,[status(thm)],[1417])).
% 31.90/20.74 tff(1419,plain,
% 31.90/20.74 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))),
% 31.90/20.74 inference(transitivity,[status(thm)],[1418, 1414])).
% 31.90/20.74 tff(1420,plain,
% 31.90/20.74 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[783, 1419])).
% 31.90/20.74 tff(1421,plain,
% 31.90/20.74 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1420])).
% 31.90/20.74 tff(1422,plain,
% 31.90/20.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))))),
% 31.90/20.74 inference(quant_inst,[status(thm)],[])).
% 31.90/20.74 tff(1423,plain,
% 31.90/20.74 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))))),
% 31.90/20.74 inference(unit_resolution,[status(thm)],[1422, 25])).
% 31.90/20.74 tff(1424,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1423])).
% 31.90/20.74 tff(1425,plain,
% 31.90/20.74 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)) = multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))), sk_c4)),
% 31.90/20.74 inference(symmetry,[status(thm)],[1414])).
% 31.90/20.74 tff(1426,plain,
% 31.90/20.74 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)),
% 31.90/20.74 inference(transitivity,[status(thm)],[1425, 1417])).
% 31.90/20.74 tff(1427,plain,
% 31.90/20.74 (multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(sk_c7, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1426])).
% 31.90/20.74 tff(1428,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1427])).
% 31.90/20.74 tff(1429,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1428])).
% 31.90/20.74 tff(1430,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6)) = multiply(multiply(sk_c6, identity), inverse(sk_c6))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[274])).
% 31.90/20.74 tff(1431,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, identity), inverse(sk_c6)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1430])).
% 31.90/20.74 tff(1432,plain,
% 31.90/20.74 (multiply(sk_c6, multiply(identity, inverse(sk_c6))) = multiply(multiply(sk_c6, identity), inverse(sk_c6))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1387])).
% 31.90/20.74 tff(1433,plain,
% 31.90/20.74 (multiply(sk_c6, inverse(sk_c6)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6))),
% 31.90/20.74 inference(transitivity,[status(thm)],[1384, 1432, 1431])).
% 31.90/20.74 tff(1434,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6)), sk_c4)),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1433])).
% 31.90/20.74 tff(1435,plain,
% 31.90/20.74 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6)), sk_c4) = multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)),
% 31.90/20.74 inference(symmetry,[status(thm)],[1434])).
% 31.90/20.74 tff(1436,plain,
% 31.90/20.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6)), sk_c4) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(inverse(sk_c6), sk_c4)))),
% 31.90/20.74 inference(quant_inst,[status(thm)],[])).
% 31.90/20.74 tff(1437,plain,
% 31.90/20.74 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6)), sk_c4) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(inverse(sk_c6), sk_c4))),
% 31.90/20.74 inference(unit_resolution,[status(thm)],[1436, 25])).
% 31.90/20.74 tff(1438,plain,
% 31.90/20.74 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(inverse(sk_c6), sk_c4)) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6)), sk_c4)),
% 31.90/20.74 inference(symmetry,[status(thm)],[1437])).
% 31.90/20.74 tff(1439,plain,
% 31.90/20.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), sk_c4) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))),
% 31.90/20.74 inference(quant_inst,[status(thm)],[])).
% 31.90/20.74 tff(1440,plain,
% 31.90/20.74 (multiply(multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), sk_c4) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))),
% 31.90/20.74 inference(unit_resolution,[status(thm)],[1439, 25])).
% 31.90/20.74 tff(1441,plain,
% 31.90/20.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.74 inference(quant_inst,[status(thm)],[])).
% 31.90/20.74 tff(1442,plain,
% 31.90/20.74 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.90/20.74 inference(unit_resolution,[status(thm)],[1441, 25])).
% 31.90/20.74 tff(1443,plain,
% 31.90/20.74 (multiply(sk_c3, sk_c7) = multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.90/20.74 inference(transitivity,[status(thm)],[682, 679, 674, 672, 677])).
% 31.90/20.74 tff(1444,plain,
% 31.90/20.74 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.74 inference(monotonicity,[status(thm)],[1443, 1103])).
% 31.90/20.74 tff(1445,plain,
% 31.90/20.74 (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.74 inference(symmetry,[status(thm)],[1444])).
% 31.90/20.74 tff(1446,plain,
% 31.90/20.74 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))))),
% 31.90/20.75 inference(quant_inst,[status(thm)],[])).
% 31.90/20.75 tff(1447,plain,
% 31.90/20.75 (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))))),
% 31.90/20.75 inference(unit_resolution,[status(thm)],[1446, 25])).
% 31.90/20.75 tff(1448,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))) = multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1447])).
% 31.90/20.75 tff(1449,plain,
% 31.90/20.75 (multiply(sk_c1, multiply(identity, inverse(sk_c6))) = multiply(sk_c1, inverse(sk_c6))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1100])).
% 31.90/20.75 tff(1450,plain,
% 31.90/20.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, identity), inverse(sk_c6)) = multiply(sk_c1, multiply(identity, inverse(sk_c6))))),
% 31.90/20.75 inference(quant_inst,[status(thm)],[])).
% 31.90/20.75 tff(1451,plain,
% 31.90/20.75 (multiply(multiply(sk_c1, identity), inverse(sk_c6)) = multiply(sk_c1, multiply(identity, inverse(sk_c6)))),
% 31.90/20.75 inference(unit_resolution,[status(thm)],[1450, 25])).
% 31.90/20.75 tff(1452,plain,
% 31.90/20.75 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6)) = multiply(multiply(sk_c1, identity), inverse(sk_c6))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[76])).
% 31.90/20.75 tff(1453,plain,
% 31.90/20.75 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1389])).
% 31.90/20.75 tff(1454,plain,
% 31.90/20.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.75 inference(quant_inst,[status(thm)],[])).
% 31.90/20.75 tff(1455,plain,
% 31.90/20.75 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.90/20.75 inference(unit_resolution,[status(thm)],[1454, 25])).
% 31.90/20.75 tff(1456,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[669, 1104])).
% 31.90/20.75 tff(1457,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.90/20.75 inference(transitivity,[status(thm)],[1456, 1455, 1453, 1452, 1451, 1449, 1179, 1182])).
% 31.90/20.75 tff(1458,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))) = multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1457])).
% 31.90/20.75 tff(1459,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1458])).
% 31.90/20.75 tff(1460,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c3, inverse(sk_c6))),
% 31.90/20.75 inference(transitivity,[status(thm)],[1459, 1448, 1445, 1442, 1104])).
% 31.90/20.75 tff(1461,plain,
% 31.90/20.75 (multiply(sk_c7, multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1460])).
% 31.90/20.75 tff(1462,plain,
% 31.90/20.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, inverse(sk_c6)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c7, multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))))),
% 31.90/20.75 inference(quant_inst,[status(thm)],[])).
% 31.90/20.75 tff(1463,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, inverse(sk_c6)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c7, multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.90/20.75 inference(unit_resolution,[status(thm)],[1462, 25])).
% 31.90/20.75 tff(1464,plain,
% 31.90/20.75 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1104])).
% 31.90/20.75 tff(1465,plain,
% 31.90/20.75 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = inverse(sk_c6)),
% 31.90/20.75 inference(transitivity,[status(thm)],[1464, 1388, 1097, 1100])).
% 31.90/20.75 tff(1466,plain,
% 31.90/20.75 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))) = multiply(sk_c7, inverse(sk_c6))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1465])).
% 31.90/20.75 tff(1467,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c7, inverse(sk_c6)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1466])).
% 31.90/20.75 tff(1468,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = inverse(sk_c6)),
% 31.90/20.75 inference(transitivity,[status(thm)],[1467, 1463, 1461, 1388, 1097, 1100])).
% 31.90/20.75 tff(1469,plain,
% 31.90/20.75 (multiply(multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), sk_c4) = multiply(inverse(sk_c6), sk_c4)),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1468])).
% 31.90/20.75 tff(1470,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), sk_c4) = multiply(multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), sk_c4)),
% 31.90/20.75 inference(symmetry,[status(thm)],[1469])).
% 31.90/20.75 tff(1471,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), sk_c4) = multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))),
% 31.90/20.75 inference(transitivity,[status(thm)],[1470, 1440])).
% 31.90/20.75 tff(1472,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)) = sk_c1),
% 31.90/20.75 inference(transitivity,[status(thm)],[70, 912, 59])).
% 31.90/20.75 tff(1473,plain,
% 31.90/20.75 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)), identity) = multiply(sk_c1, identity)),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1472])).
% 31.90/20.75 tff(1474,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, identity))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), identity))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[919])).
% 31.90/20.75 tff(1475,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, identity))) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.90/20.75 inference(transitivity,[status(thm)],[1474, 75, 1473, 77])).
% 31.90/20.75 tff(1476,plain,
% 31.90/20.75 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, identity))), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1475])).
% 31.90/20.75 tff(1477,plain,
% 31.90/20.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, identity))), sk_c7) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)))),
% 31.90/20.75 inference(quant_inst,[status(thm)],[])).
% 31.90/20.75 tff(1478,plain,
% 31.90/20.75 (multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, identity))), sk_c7) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7))),
% 31.90/20.75 inference(unit_resolution,[status(thm)],[1477, 25])).
% 31.90/20.75 tff(1479,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)) = multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, identity))), sk_c7)),
% 31.90/20.75 inference(symmetry,[status(thm)],[1478])).
% 31.90/20.75 tff(1480,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1172])).
% 31.90/20.75 tff(1481,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = sk_c6),
% 31.90/20.75 inference(transitivity,[status(thm)],[1480, 1479, 1476, 644, 647, 649, 629])).
% 31.90/20.75 tff(1482,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)) = multiply(inverse(sk_c6), sk_c7)),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1200])).
% 31.90/20.75 tff(1483,plain,
% 31.90/20.75 (multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))) = multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1482, 1481])).
% 31.90/20.75 tff(1484,plain,
% 31.90/20.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))))),
% 31.90/20.75 inference(quant_inst,[status(thm)],[])).
% 31.90/20.75 tff(1485,plain,
% 31.90/20.75 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))))),
% 31.90/20.75 inference(unit_resolution,[status(thm)],[1484, 25])).
% 31.90/20.75 tff(1486,plain,
% 31.90/20.75 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = sk_c7),
% 31.90/20.75 inference(transitivity,[status(thm)],[1485, 1483, 1199, 1197, 614, 611, 215])).
% 31.90/20.75 tff(1487,plain,
% 31.90/20.75 (multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))) = multiply(sk_c7, sk_c7)),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1486])).
% 31.90/20.75 tff(1488,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1487])).
% 31.90/20.75 tff(1489,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1488])).
% 31.90/20.75 tff(1490,plain,
% 31.90/20.75 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.90/20.75 inference(symmetry,[status(thm)],[824])).
% 31.90/20.75 tff(1491,plain,
% 31.90/20.75 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c6, sk_c3)),
% 31.90/20.75 inference(transitivity,[status(thm)],[1057, 663, 662, 661, 660, 91, 87, 84, 794, 793, 1195])).
% 31.90/20.75 tff(1492,plain,
% 31.90/20.75 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(sk_c7, multiply(sk_c6, sk_c3))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1491])).
% 31.90/20.75 tff(1493,plain,
% 31.90/20.75 (multiply(sk_c7, multiply(sk_c6, sk_c3)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1492])).
% 31.90/20.75 tff(1494,plain,
% 31.90/20.75 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.90/20.75 inference(transitivity,[status(thm)],[274, 560, 558, 555, 552, 1493, 1490, 1489])).
% 31.90/20.75 tff(1495,plain,
% 31.90/20.75 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(inverse(sk_c6), sk_c4)) = multiply(multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1494, 1471])).
% 31.90/20.75 tff(1496,plain,
% 31.90/20.75 (multiply(multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(inverse(sk_c6), sk_c4))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1495])).
% 31.90/20.75 tff(1497,plain,
% 31.90/20.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))))),
% 31.90/20.75 inference(quant_inst,[status(thm)],[])).
% 31.90/20.75 tff(1498,plain,
% 31.90/20.75 (multiply(multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))))),
% 31.90/20.75 inference(unit_resolution,[status(thm)],[1497, 25])).
% 31.90/20.75 tff(1499,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))) = multiply(multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1498])).
% 31.90/20.75 tff(1500,plain,
% 31.90/20.75 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), inverse(sk_c6))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1056])).
% 31.90/20.75 tff(1501,plain,
% 31.90/20.75 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), inverse(sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1500])).
% 31.90/20.75 tff(1502,plain,
% 31.90/20.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), inverse(sk_c6)) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6))))),
% 31.90/20.75 inference(quant_inst,[status(thm)],[])).
% 31.90/20.75 tff(1503,plain,
% 31.90/20.75 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), inverse(sk_c6)) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6)))),
% 31.90/20.75 inference(unit_resolution,[status(thm)],[1502, 25])).
% 31.90/20.75 tff(1504,plain,
% 31.90/20.75 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6))) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), inverse(sk_c6))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1503])).
% 31.90/20.75 tff(1505,plain,
% 31.90/20.75 (multiply(multiply(sk_c1, identity), inverse(sk_c6)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1452])).
% 31.90/20.75 tff(1506,plain,
% 31.90/20.75 (multiply(sk_c1, multiply(identity, inverse(sk_c6))) = multiply(multiply(sk_c1, identity), inverse(sk_c6))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1451])).
% 31.90/20.75 tff(1507,plain,
% 31.90/20.75 (multiply(sk_c1, inverse(sk_c6)) = multiply(sk_c1, multiply(identity, inverse(sk_c6)))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1449])).
% 31.90/20.75 tff(1508,plain,
% 31.90/20.75 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6))),
% 31.90/20.75 inference(transitivity,[status(thm)],[1183, 1180, 1507, 1506, 1505])).
% 31.90/20.75 tff(1509,plain,
% 31.90/20.75 (multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6)))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1508])).
% 31.90/20.75 tff(1510,plain,
% 31.90/20.75 (multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1416])).
% 31.90/20.75 tff(1511,plain,
% 31.90/20.75 (multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6))),
% 31.90/20.75 inference(transitivity,[status(thm)],[1510, 1509, 1504, 1501])).
% 31.90/20.75 tff(1512,plain,
% 31.90/20.75 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), sk_c4)),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1511])).
% 31.90/20.75 tff(1513,plain,
% 31.90/20.75 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), sk_c4) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4)),
% 31.90/20.75 inference(symmetry,[status(thm)],[1512])).
% 31.90/20.75 tff(1514,plain,
% 31.90/20.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), sk_c4) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), sk_c4)))),
% 31.90/20.75 inference(quant_inst,[status(thm)],[])).
% 31.90/20.75 tff(1515,plain,
% 31.90/20.75 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), sk_c4) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), sk_c4))),
% 31.90/20.75 inference(unit_resolution,[status(thm)],[1514, 25])).
% 31.90/20.75 tff(1516,plain,
% 31.90/20.75 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), sk_c4)) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), sk_c4)),
% 31.90/20.75 inference(symmetry,[status(thm)],[1515])).
% 31.90/20.75 tff(1517,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)) = multiply(multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), sk_c4)),
% 31.90/20.75 inference(symmetry,[status(thm)],[1440])).
% 31.90/20.75 tff(1518,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)) = multiply(inverse(sk_c6), sk_c4)),
% 31.90/20.75 inference(transitivity,[status(thm)],[1517, 1469])).
% 31.90/20.75 tff(1519,plain,
% 31.90/20.75 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), sk_c4))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1518])).
% 31.90/20.75 tff(1520,plain,
% 31.90/20.75 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4)),
% 31.90/20.75 inference(transitivity,[status(thm)],[1519, 1516, 1513])).
% 31.90/20.75 tff(1521,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))) = multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4))),
% 31.90/20.75 inference(monotonicity,[status(thm)],[1520])).
% 31.90/20.75 tff(1522,plain,
% 31.90/20.75 (multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4)) = multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))))),
% 31.90/20.75 inference(symmetry,[status(thm)],[1521])).
% 31.90/20.75 tff(1523,plain,
% 31.90/20.75 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(sk_c6, inverse(sk_c6))), sk_c4) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)))),
% 31.90/20.76 inference(quant_inst,[status(thm)],[])).
% 31.90/20.76 tff(1524,plain,
% 31.90/20.76 (multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(sk_c6, inverse(sk_c6))), sk_c4) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4))),
% 31.90/20.76 inference(unit_resolution,[status(thm)],[1523, 25])).
% 31.90/20.76 tff(1525,plain,
% 31.90/20.76 (multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1510])).
% 31.90/20.76 tff(1526,plain,
% 31.90/20.76 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1509])).
% 31.90/20.76 tff(1527,plain,
% 31.90/20.76 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), inverse(sk_c6)) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), inverse(sk_c6))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[695])).
% 31.90/20.76 tff(1528,plain,
% 31.90/20.76 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), inverse(sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), inverse(sk_c6))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1527])).
% 31.90/20.76 tff(1529,plain,
% 31.90/20.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), inverse(sk_c6)) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, inverse(sk_c6))))),
% 31.90/20.76 inference(quant_inst,[status(thm)],[])).
% 31.90/20.76 tff(1530,plain,
% 31.90/20.76 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), inverse(sk_c6)) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.76 inference(unit_resolution,[status(thm)],[1529, 25])).
% 31.90/20.76 tff(1531,plain,
% 31.90/20.76 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), inverse(sk_c6))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1530])).
% 31.90/20.76 tff(1532,plain,
% 31.90/20.76 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1442])).
% 31.90/20.76 tff(1533,plain,
% 31.90/20.76 (multiply(sk_c3, inverse(sk_c6)) = multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.90/20.76 inference(transitivity,[status(thm)],[1103, 1532, 1444, 1447, 1458])).
% 31.90/20.76 tff(1534,plain,
% 31.90/20.76 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))),
% 31.90/20.76 inference(transitivity,[status(thm)],[699, 696, 689, 687, 601, 599, 597])).
% 31.90/20.76 tff(1535,plain,
% 31.90/20.76 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1534, 1533])).
% 31.90/20.76 tff(1536,plain,
% 31.90/20.76 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1535])).
% 31.90/20.76 tff(1537,plain,
% 31.90/20.76 (multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.90/20.76 inference(transitivity,[status(thm)],[1459, 1448, 1445, 1442])).
% 31.90/20.76 tff(1538,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6)),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1184, 675])).
% 31.90/20.76 tff(1539,plain,
% 31.90/20.76 (multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1538])).
% 31.90/20.76 tff(1540,plain,
% 31.90/20.76 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(sk_c1, inverse(sk_c6)), sk_c6)),
% 31.90/20.76 inference(symmetry,[status(thm)],[298])).
% 31.90/20.76 tff(1541,plain,
% 31.90/20.76 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.90/20.76 inference(transitivity,[status(thm)],[684, 661, 660, 77, 1540, 1539])).
% 31.90/20.76 tff(1542,plain,
% 31.90/20.76 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1541, 1537])).
% 31.90/20.76 tff(1543,plain,
% 31.90/20.76 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1542])).
% 31.90/20.76 tff(1544,plain,
% 31.90/20.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))))),
% 31.90/20.76 inference(quant_inst,[status(thm)],[])).
% 31.90/20.76 tff(1545,plain,
% 31.90/20.76 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))))),
% 31.90/20.76 inference(unit_resolution,[status(thm)],[1544, 25])).
% 31.90/20.76 tff(1546,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1545])).
% 31.90/20.76 tff(1547,plain,
% 31.90/20.76 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1456])).
% 31.90/20.76 tff(1548,plain,
% 31.90/20.76 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1455])).
% 31.90/20.76 tff(1549,plain,
% 31.90/20.76 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1453])).
% 31.90/20.76 tff(1550,plain,
% 31.90/20.76 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.76 inference(transitivity,[status(thm)],[1183, 1180, 1507, 1506, 1505, 1549, 1548, 1547])).
% 31.90/20.76 tff(1551,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1550])).
% 31.90/20.76 tff(1552,plain,
% 31.90/20.76 (multiply(multiply(identity, sk_c1), inverse(sk_c6)) = multiply(sk_c1, inverse(sk_c6))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[59])).
% 31.90/20.76 tff(1553,plain,
% 31.90/20.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c1), inverse(sk_c6)) = multiply(identity, multiply(sk_c1, inverse(sk_c6))))),
% 31.90/20.76 inference(quant_inst,[status(thm)],[])).
% 31.90/20.76 tff(1554,plain,
% 31.90/20.76 (multiply(multiply(identity, sk_c1), inverse(sk_c6)) = multiply(identity, multiply(sk_c1, inverse(sk_c6)))),
% 31.90/20.76 inference(unit_resolution,[status(thm)],[1553, 25])).
% 31.90/20.76 tff(1555,plain,
% 31.90/20.76 (multiply(identity, multiply(sk_c1, inverse(sk_c6))) = multiply(multiply(identity, sk_c1), inverse(sk_c6))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1554])).
% 31.90/20.76 tff(1556,plain,
% 31.90/20.76 (multiply(inverse(sk_c6), multiply(sk_c1, sk_c7)) = multiply(inverse(sk_c6), sk_c6)),
% 31.90/20.76 inference(monotonicity,[status(thm)],[629])).
% 31.90/20.76 tff(1557,plain,
% 31.90/20.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), sk_c1), sk_c7) = multiply(inverse(sk_c6), multiply(sk_c1, sk_c7)))),
% 31.90/20.76 inference(quant_inst,[status(thm)],[])).
% 31.90/20.76 tff(1558,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), sk_c1), sk_c7) = multiply(inverse(sk_c6), multiply(sk_c1, sk_c7))),
% 31.90/20.76 inference(unit_resolution,[status(thm)],[1557, 25])).
% 31.90/20.76 tff(1559,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), sk_c1), sk_c7) = identity),
% 31.90/20.76 inference(transitivity,[status(thm)],[1558, 1556, 46])).
% 31.90/20.76 tff(1560,plain,
% 31.90/20.76 (multiply(multiply(multiply(inverse(sk_c6), sk_c1), sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(identity, multiply(sk_c1, inverse(sk_c6)))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1559, 1184])).
% 31.90/20.76 tff(1561,plain,
% 31.90/20.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c6), sk_c1), sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(inverse(sk_c6), sk_c1), multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))))),
% 31.90/20.76 inference(quant_inst,[status(thm)],[])).
% 31.90/20.76 tff(1562,plain,
% 31.90/20.76 (multiply(multiply(multiply(inverse(sk_c6), sk_c1), sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(inverse(sk_c6), sk_c1), multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.90/20.76 inference(unit_resolution,[status(thm)],[1561, 25])).
% 31.90/20.76 tff(1563,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), sk_c1), multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(multiply(inverse(sk_c6), sk_c1), sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1562])).
% 31.90/20.76 tff(1564,plain,
% 31.90/20.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), inverse(sk_c6)) = multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), inverse(sk_c6))))),
% 31.90/20.76 inference(quant_inst,[status(thm)],[])).
% 31.90/20.76 tff(1565,plain,
% 31.90/20.76 (multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), inverse(sk_c6)) = multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), inverse(sk_c6)))),
% 31.90/20.76 inference(unit_resolution,[status(thm)],[1564, 25])).
% 31.90/20.76 tff(1566,plain,
% 31.90/20.76 (multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), inverse(sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), inverse(sk_c6))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1565])).
% 31.90/20.76 tff(1567,plain,
% 31.90/20.76 (multiply(sk_c3, multiply(identity, inverse(sk_c6))) = multiply(sk_c3, inverse(sk_c6))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1100])).
% 31.90/20.76 tff(1568,plain,
% 31.90/20.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), inverse(sk_c6)) = multiply(sk_c3, multiply(identity, inverse(sk_c6))))),
% 31.90/20.76 inference(quant_inst,[status(thm)],[])).
% 31.90/20.76 tff(1569,plain,
% 31.90/20.76 (multiply(multiply(sk_c3, identity), inverse(sk_c6)) = multiply(sk_c3, multiply(identity, inverse(sk_c6)))),
% 31.90/20.76 inference(unit_resolution,[status(thm)],[1568, 25])).
% 31.90/20.76 tff(1570,plain,
% 31.90/20.76 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), inverse(sk_c6)) = multiply(multiply(sk_c3, identity), inverse(sk_c6))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1068])).
% 31.90/20.76 tff(1571,plain,
% 31.90/20.76 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), inverse(sk_c6)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.90/20.76 inference(transitivity,[status(thm)],[1570, 1569, 1567, 1103])).
% 31.90/20.76 tff(1572,plain,
% 31.90/20.76 (multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), inverse(sk_c6))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1571])).
% 31.90/20.76 tff(1573,plain,
% 31.90/20.76 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), inverse(sk_c6)))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1572])).
% 31.90/20.76 tff(1574,plain,
% 31.90/20.76 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[652, 1104])).
% 31.90/20.76 tff(1575,plain,
% 31.90/20.76 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1574])).
% 31.90/20.76 tff(1576,plain,
% 31.90/20.76 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), inverse(sk_c6))),
% 31.90/20.76 inference(transitivity,[status(thm)],[1183, 1180, 1507, 1506, 1505, 1549, 1548, 1575, 1573, 1566])).
% 31.90/20.76 tff(1577,plain,
% 31.90/20.76 (multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c7, multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), inverse(sk_c6)))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1576])).
% 31.90/20.76 tff(1578,plain,
% 31.90/20.76 (multiply(sk_c7, multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), inverse(sk_c6))) = multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1577])).
% 31.90/20.76 tff(1579,plain,
% 31.90/20.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))), inverse(sk_c6)) = multiply(sk_c7, multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), inverse(sk_c6))))),
% 31.90/20.76 inference(quant_inst,[status(thm)],[])).
% 31.90/20.76 tff(1580,plain,
% 31.90/20.76 (multiply(multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))), inverse(sk_c6)) = multiply(sk_c7, multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), inverse(sk_c6)))),
% 31.90/20.76 inference(unit_resolution,[status(thm)],[1579, 25])).
% 31.90/20.76 tff(1581,plain,
% 31.90/20.76 (multiply(sk_c6, identity) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.90/20.76 inference(transitivity,[status(thm)],[452, 450, 1121, 1119, 1116, 1113])).
% 31.90/20.76 tff(1582,plain,
% 31.90/20.76 (multiply(multiply(sk_c6, identity), inverse(sk_c6)) = multiply(multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))), inverse(sk_c6))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1581])).
% 31.90/20.76 tff(1583,plain,
% 31.90/20.76 (multiply(sk_c6, inverse(sk_c6)) = multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.90/20.76 inference(transitivity,[status(thm)],[1384, 1432, 1582, 1580, 1578])).
% 31.90/20.76 tff(1584,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), sk_c1), multiply(sk_c6, inverse(sk_c6))) = multiply(multiply(inverse(sk_c6), sk_c1), multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1583])).
% 31.90/20.76 tff(1585,plain,
% 31.90/20.76 (multiply(sk_c7, multiply(sk_c3, sk_c1)) = sk_c1),
% 31.90/20.76 inference(transitivity,[status(thm)],[706, 1037, 59])).
% 31.90/20.76 tff(1586,plain,
% 31.90/20.76 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))) = multiply(sk_c3, sk_c1)),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1585])).
% 31.90/20.76 tff(1587,plain,
% 31.90/20.76 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(sk_c7, multiply(sk_c3, sk_c1))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1586])).
% 31.90/20.76 tff(1588,plain,
% 31.90/20.76 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = sk_c1),
% 31.90/20.76 inference(transitivity,[status(thm)],[1587, 706, 1037, 59])).
% 31.90/20.76 tff(1589,plain,
% 31.90/20.76 (multiply(inverse(sk_c6), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))) = multiply(inverse(sk_c6), sk_c1)),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1588])).
% 31.90/20.76 tff(1590,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c6, inverse(sk_c6))) = multiply(multiply(inverse(sk_c6), sk_c1), multiply(sk_c6, inverse(sk_c6)))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1589])).
% 31.90/20.76 tff(1591,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c6, inverse(sk_c6))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.90/20.76 inference(transitivity,[status(thm)],[1590, 1584, 1563, 1560, 1555, 1552, 1179, 1182])).
% 31.90/20.76 tff(1592,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c6, inverse(sk_c6)))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1591])).
% 31.90/20.76 tff(1593,plain,
% 31.90/20.76 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))), multiply(sk_c6, inverse(sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c6, inverse(sk_c6)))))),
% 31.90/20.76 inference(quant_inst,[status(thm)],[])).
% 31.90/20.76 tff(1594,plain,
% 31.90/20.76 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))), multiply(sk_c6, inverse(sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c6, inverse(sk_c6))))),
% 31.90/20.76 inference(unit_resolution,[status(thm)],[1593, 25])).
% 31.90/20.76 tff(1595,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1589])).
% 31.90/20.76 tff(1596,plain,
% 31.90/20.76 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))))),
% 31.90/20.76 inference(symmetry,[status(thm)],[1595])).
% 31.90/20.76 tff(1597,plain,
% 31.90/20.76 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(sk_c6, inverse(sk_c6))) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))), multiply(sk_c6, inverse(sk_c6)))),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1596])).
% 31.90/20.76 tff(1598,plain,
% 31.90/20.76 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(sk_c6, inverse(sk_c6))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.90/20.76 inference(transitivity,[status(thm)],[1597, 1594, 1592, 1551, 1546, 1543, 1536, 1531, 1528, 1503, 1526, 1525])).
% 31.90/20.76 tff(1599,plain,
% 31.90/20.76 (multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(sk_c6, inverse(sk_c6))), sk_c4) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4)),
% 31.90/20.76 inference(monotonicity,[status(thm)],[1598])).
% 31.90/20.76 tff(1600,plain,
% 31.90/20.76 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4) = multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(sk_c6, inverse(sk_c6))), sk_c4)),
% 31.90/20.76 inference(symmetry,[status(thm)],[1599])).
% 31.90/20.76 tff(1601,plain,
% 31.90/20.76 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4))),
% 31.90/20.77 inference(transitivity,[status(thm)],[1600, 1524])).
% 31.90/20.77 tff(1602,plain,
% 31.90/20.77 (multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4)) = multiply(multiply(sk_c7, sk_c7), multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1487, 1601])).
% 31.90/20.77 tff(1603,plain,
% 31.90/20.77 (multiply(multiply(sk_c7, sk_c7), multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4))) = multiply(multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1602])).
% 31.90/20.77 tff(1604,plain,
% 31.90/20.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4))) = multiply(sk_c7, multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)))))),
% 31.90/20.77 inference(quant_inst,[status(thm)],[])).
% 31.90/20.77 tff(1605,plain,
% 31.90/20.77 (multiply(multiply(sk_c7, sk_c7), multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4))) = multiply(sk_c7, multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4))))),
% 31.90/20.77 inference(unit_resolution,[status(thm)],[1604, 25])).
% 31.90/20.77 tff(1606,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)))) = multiply(multiply(sk_c7, sk_c7), multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1605])).
% 31.90/20.77 tff(1607,plain,
% 31.90/20.77 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))) = multiply(multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1102, 1161])).
% 31.90/20.77 tff(1608,plain,
% 31.90/20.77 (multiply(multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1607])).
% 31.90/20.77 tff(1609,plain,
% 31.90/20.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))) = multiply(sk_c7, multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))))),
% 31.90/20.77 inference(quant_inst,[status(thm)],[])).
% 31.90/20.77 tff(1610,plain,
% 31.90/20.77 (multiply(multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))) = multiply(sk_c7, multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.90/20.77 inference(unit_resolution,[status(thm)],[1609, 25])).
% 31.90/20.77 tff(1611,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))) = multiply(multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1610])).
% 31.90/20.77 tff(1612,plain,
% 31.90/20.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))))),
% 31.90/20.77 inference(quant_inst,[status(thm)],[])).
% 31.90/20.77 tff(1613,plain,
% 31.90/20.77 (multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.90/20.77 inference(unit_resolution,[status(thm)],[1612, 25])).
% 31.90/20.77 tff(1614,plain,
% 31.90/20.77 (multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))) = multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1613])).
% 31.90/20.77 tff(1615,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))) = multiply(sk_c7, multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1614])).
% 31.90/20.77 tff(1616,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.90/20.77 inference(transitivity,[status(thm)],[1615, 1611, 1608])).
% 31.90/20.77 tff(1617,plain,
% 31.90/20.77 (multiply(multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), sk_c4) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1616])).
% 31.90/20.77 tff(1618,plain,
% 31.90/20.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), sk_c4) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4)))),
% 31.90/20.77 inference(quant_inst,[status(thm)],[])).
% 31.90/20.77 tff(1619,plain,
% 31.90/20.77 (multiply(multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), sk_c4) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4))),
% 31.90/20.77 inference(unit_resolution,[status(thm)],[1618, 25])).
% 31.90/20.77 tff(1620,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4)) = multiply(multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), sk_c4)),
% 31.90/20.77 inference(symmetry,[status(thm)],[1619])).
% 31.90/20.77 tff(1621,plain,
% 31.90/20.77 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)) = multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(sk_c6, inverse(sk_c6))), sk_c4)),
% 31.90/20.77 inference(symmetry,[status(thm)],[1524])).
% 31.90/20.77 tff(1622,plain,
% 31.90/20.77 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4)),
% 31.90/20.77 inference(transitivity,[status(thm)],[1621, 1599])).
% 31.90/20.77 tff(1623,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4))) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c4))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1622])).
% 31.90/20.77 tff(1624,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)),
% 31.90/20.77 inference(transitivity,[status(thm)],[1623, 1620, 1617])).
% 31.90/20.77 tff(1625,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)))) = multiply(sk_c7, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1624])).
% 31.90/20.77 tff(1626,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)) = multiply(sk_c7, multiply(sk_c7, multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), sk_c1)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4))))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1625])).
% 31.90/20.77 tff(1627,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)) = multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)),
% 31.90/20.77 inference(transitivity,[status(thm)],[1626, 1606, 1603, 1522, 1499, 1496, 1438, 1435])).
% 31.90/20.77 tff(1628,plain,
% 31.90/20.77 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1627])).
% 31.90/20.77 tff(1629,plain,
% 31.90/20.77 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1628])).
% 31.90/20.77 tff(1630,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1032])).
% 31.90/20.77 tff(1631,plain,
% 31.90/20.77 (multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))),
% 31.90/20.77 inference(transitivity,[status(thm)],[1434, 1437, 1495, 1498, 1521, 1602, 1605, 1625, 1630])).
% 31.90/20.77 tff(1632,plain,
% 31.90/20.77 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1631])).
% 31.90/20.77 tff(1633,plain,
% 31.90/20.77 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1632])).
% 31.90/20.77 tff(1634,plain,
% 31.90/20.77 ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 31.90/20.77 inference(quant_inst,[status(thm)],[])).
% 31.90/20.77 tff(1635,plain,
% 31.90/20.77 (multiply(identity, sk_c4) = sk_c4),
% 31.90/20.77 inference(unit_resolution,[status(thm)],[1634, 57])).
% 31.90/20.77 tff(1636,plain,
% 31.90/20.77 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)),
% 31.90/20.77 inference(transitivity,[status(thm)],[76, 91, 87, 84])).
% 31.90/20.77 tff(1637,plain,
% 31.90/20.77 (multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1636])).
% 31.90/20.77 tff(1638,plain,
% 31.90/20.77 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1637])).
% 31.90/20.77 tff(1639,plain,
% 31.90/20.77 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), identity) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), identity)),
% 31.90/20.77 inference(monotonicity,[status(thm)],[695])).
% 31.90/20.77 tff(1640,plain,
% 31.90/20.77 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), identity) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), identity)),
% 31.90/20.77 inference(symmetry,[status(thm)],[1639])).
% 31.90/20.77 tff(1641,plain,
% 31.90/20.77 (multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1070])).
% 31.90/20.77 tff(1642,plain,
% 31.90/20.77 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, identity)) = multiply(identity, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[683, 1067])).
% 31.90/20.77 tff(1643,plain,
% 31.90/20.77 (multiply(sk_c3, identity) = multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.77 inference(transitivity,[status(thm)],[1067, 1027, 1642, 1005, 1008, 1641])).
% 31.90/20.77 tff(1644,plain,
% 31.90/20.77 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, identity)) = multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1534, 1643])).
% 31.90/20.77 tff(1645,plain,
% 31.90/20.77 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, identity))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1644])).
% 31.90/20.77 tff(1646,plain,
% 31.90/20.77 (multiply(identity, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, identity))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1642])).
% 31.90/20.77 tff(1647,plain,
% 31.90/20.77 (multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1641])).
% 31.90/20.77 tff(1648,plain,
% 31.90/20.77 (multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.90/20.77 inference(transitivity,[status(thm)],[1647, 1009, 1006, 1646, 1002])).
% 31.90/20.77 tff(1649,plain,
% 31.90/20.77 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.90/20.77 inference(transitivity,[status(thm)],[684, 661, 660, 77])).
% 31.90/20.77 tff(1650,plain,
% 31.90/20.77 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1649, 1648])).
% 31.90/20.77 tff(1651,plain,
% 31.90/20.77 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1650])).
% 31.90/20.77 tff(1652,plain,
% 31.90/20.77 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = sk_c7),
% 31.90/20.77 inference(transitivity,[status(thm)],[76, 635, 634, 1029, 596, 1024, 1023, 1022, 1021, 1020, 698, 686, 973])).
% 31.90/20.77 tff(1653,plain,
% 31.90/20.77 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c7, multiply(sk_c3, identity))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1652, 1068])).
% 31.90/20.77 tff(1654,plain,
% 31.90/20.77 (multiply(sk_c7, multiply(sk_c3, identity)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1653])).
% 31.90/20.77 tff(1655,plain,
% 31.90/20.77 (identity = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.90/20.77 inference(transitivity,[status(thm)],[834, 1065, 494, 1654, 1651, 1645, 996, 1640, 991, 1638, 1062])).
% 31.90/20.77 tff(1656,plain,
% 31.90/20.77 (multiply(identity, sk_c4) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), sk_c4)),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1655])).
% 31.90/20.77 tff(1657,plain,
% 31.90/20.77 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), sk_c4) = multiply(identity, sk_c4)),
% 31.90/20.77 inference(symmetry,[status(thm)],[1656])).
% 31.90/20.77 tff(1658,plain,
% 31.90/20.77 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1158])).
% 31.90/20.77 tff(1659,plain,
% 31.90/20.77 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1658])).
% 31.90/20.77 tff(1660,plain,
% 31.90/20.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))))),
% 31.90/20.77 inference(quant_inst,[status(thm)],[])).
% 31.90/20.77 tff(1661,plain,
% 31.90/20.77 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.90/20.77 inference(unit_resolution,[status(thm)],[1660, 25])).
% 31.90/20.77 tff(1662,plain,
% 31.90/20.77 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.90/20.77 inference(transitivity,[status(thm)],[1538, 298])).
% 31.90/20.77 tff(1663,plain,
% 31.90/20.77 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1662])).
% 31.90/20.77 tff(1664,plain,
% 31.90/20.77 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.90/20.77 inference(symmetry,[status(thm)],[1663])).
% 31.90/20.77 tff(1665,plain,
% 31.90/20.77 (identity = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.90/20.77 inference(transitivity,[status(thm)],[834, 1065, 494, 1654, 1664, 1661, 1659])).
% 31.90/20.77 tff(1666,plain,
% 31.90/20.77 (multiply(multiply(sk_c6, inverse(sk_c6)), identity) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1665])).
% 31.90/20.77 tff(1667,plain,
% 31.90/20.77 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c6, inverse(sk_c6)), identity)),
% 31.90/20.77 inference(symmetry,[status(thm)],[1666])).
% 31.90/20.77 tff(1668,plain,
% 31.90/20.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.90/20.77 inference(quant_inst,[status(thm)],[])).
% 31.90/20.77 tff(1669,plain,
% 31.90/20.77 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.90/20.77 inference(unit_resolution,[status(thm)],[1668, 25])).
% 31.90/20.77 tff(1670,plain,
% 31.90/20.77 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.90/20.77 inference(transitivity,[status(thm)],[1404, 272, 274, 1220, 659, 656])).
% 31.90/20.77 tff(1671,plain,
% 31.90/20.77 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6)))),
% 31.90/20.77 inference(monotonicity,[status(thm)],[1670, 1104])).
% 31.90/20.77 tff(1672,plain,
% 31.90/20.77 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))))),
% 31.97/20.77 inference(quant_inst,[status(thm)],[])).
% 31.97/20.77 tff(1673,plain,
% 31.97/20.77 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))))),
% 31.97/20.77 inference(unit_resolution,[status(thm)],[1672, 25])).
% 31.97/20.77 tff(1674,plain,
% 31.97/20.77 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.97/20.77 inference(symmetry,[status(thm)],[1673])).
% 31.97/20.77 tff(1675,plain,
% 31.97/20.77 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))))),
% 31.97/20.77 inference(monotonicity,[status(thm)],[1550])).
% 31.97/20.77 tff(1676,plain,
% 31.97/20.77 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.97/20.77 inference(transitivity,[status(thm)],[1675, 1674, 1671, 1455, 1453, 1452, 1451, 1449, 1179, 1182])).
% 31.97/20.77 tff(1677,plain,
% 31.97/20.77 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1676])).
% 31.97/20.78 tff(1678,plain,
% 31.97/20.78 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1677])).
% 31.97/20.78 tff(1679,plain,
% 31.97/20.78 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity)) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), identity)),
% 31.97/20.78 inference(symmetry,[status(thm)],[991])).
% 31.97/20.78 tff(1680,plain,
% 31.97/20.78 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(multiply(sk_c6, inverse(sk_c6)), identity)),
% 31.97/20.78 inference(transitivity,[status(thm)],[1056, 1637, 1679, 1639, 995, 1644, 1650, 1664, 1661, 1659, 1678, 1669, 1667])).
% 31.97/20.78 tff(1681,plain,
% 31.97/20.78 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), sk_c4) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), identity), sk_c4)),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1680])).
% 31.97/20.78 tff(1682,plain,
% 31.97/20.78 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), identity), sk_c4) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), sk_c4)),
% 31.97/20.78 inference(symmetry,[status(thm)],[1681])).
% 31.97/20.78 tff(1683,plain,
% 31.97/20.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), identity), sk_c4) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(identity, sk_c4)))),
% 31.97/20.78 inference(quant_inst,[status(thm)],[])).
% 31.97/20.78 tff(1684,plain,
% 31.97/20.78 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), identity), sk_c4) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(identity, sk_c4))),
% 31.97/20.78 inference(unit_resolution,[status(thm)],[1683, 25])).
% 31.97/20.78 tff(1685,plain,
% 31.97/20.78 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(identity, sk_c4)) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), identity), sk_c4)),
% 31.97/20.78 inference(symmetry,[status(thm)],[1684])).
% 31.97/20.78 tff(1686,plain,
% 31.97/20.78 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(identity, sk_c4)) = multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4)),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1635])).
% 31.97/20.78 tff(1687,plain,
% 31.97/20.78 (multiply(multiply(sk_c6, inverse(sk_c6)), sk_c4) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(identity, sk_c4))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1686])).
% 31.97/20.78 tff(1688,plain,
% 31.97/20.78 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)) = multiply(sk_c7, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1630])).
% 31.97/20.78 tff(1689,plain,
% 31.97/20.78 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)) = sk_c4),
% 31.97/20.78 inference(transitivity,[status(thm)],[1688, 1626, 1606, 1603, 1522, 1499, 1496, 1438, 1435, 1687, 1685, 1682, 1657, 1635])).
% 31.97/20.78 tff(1690,plain,
% 31.97/20.78 (inverse(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = inverse(sk_c4)),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1689])).
% 31.97/20.78 tff(1691,plain,
% 31.97/20.78 (inverse(sk_c4) = inverse(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1690])).
% 31.97/20.78 tff(1692,assumption,(inverse(sk_c4) = sk_c6), introduced(assumption)).
% 31.97/20.78 tff(1693,plain,
% 31.97/20.78 (sk_c6 = inverse(sk_c4)),
% 31.97/20.78 inference(symmetry,[status(thm)],[1692])).
% 31.97/20.78 tff(1694,plain,
% 31.97/20.78 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = inverse(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))),
% 31.97/20.78 inference(transitivity,[status(thm)],[274, 1220, 659, 656, 644, 647, 649, 629, 1693, 1691])).
% 31.97/20.78 tff(1695,plain,
% 31.97/20.78 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = multiply(inverse(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1694])).
% 31.97/20.78 tff(1696,plain,
% 31.97/20.78 (multiply(inverse(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1695])).
% 31.97/20.78 tff(1697,plain,
% 31.97/20.78 ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = identity)),
% 31.97/20.78 inference(quant_inst,[status(thm)],[])).
% 31.97/20.78 tff(1698,plain,
% 31.97/20.78 (multiply(inverse(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))) = identity),
% 31.97/20.78 inference(unit_resolution,[status(thm)],[1697, 41])).
% 31.97/20.78 tff(1699,plain,
% 31.97/20.78 (identity = multiply(inverse(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1698])).
% 31.97/20.78 tff(1700,plain,
% 31.97/20.78 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))),
% 31.97/20.78 inference(transitivity,[status(thm)],[1056, 1637, 1679, 1639, 995, 1644, 1650, 1653, 495, 492, 89, 1699, 1696, 1633, 1629, 1429, 1424, 1421])).
% 31.97/20.78 tff(1701,plain,
% 31.97/20.78 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1700])).
% 31.97/20.78 tff(1702,plain,
% 31.97/20.78 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.97/20.78 inference(transitivity,[status(thm)],[1397, 643, 641, 83, 86, 90, 77])).
% 31.97/20.78 tff(1703,plain,
% 31.97/20.78 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1702])).
% 31.97/20.78 tff(1704,plain,
% 31.97/20.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)))),
% 31.97/20.78 inference(quant_inst,[status(thm)],[])).
% 31.97/20.78 tff(1705,plain,
% 31.97/20.78 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3))),
% 31.97/20.78 inference(unit_resolution,[status(thm)],[1704, 25])).
% 31.97/20.78 tff(1706,plain,
% 31.97/20.78 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)) = multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1480])).
% 31.97/20.78 tff(1707,plain,
% 31.97/20.78 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, identity))), sk_c7)),
% 31.97/20.78 inference(symmetry,[status(thm)],[1476])).
% 31.97/20.78 tff(1708,plain,
% 31.97/20.78 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)) = multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.97/20.78 inference(transitivity,[status(thm)],[668, 665, 1707, 1478, 1706])).
% 31.97/20.78 tff(1709,plain,
% 31.97/20.78 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))))),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1708])).
% 31.97/20.78 tff(1710,plain,
% 31.97/20.78 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1709])).
% 31.97/20.78 tff(1711,plain,
% 31.97/20.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))))),
% 31.97/20.78 inference(quant_inst,[status(thm)],[])).
% 31.97/20.78 tff(1712,plain,
% 31.97/20.78 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))))),
% 31.97/20.78 inference(unit_resolution,[status(thm)],[1711, 25])).
% 31.97/20.78 tff(1713,plain,
% 31.97/20.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))))),
% 31.97/20.78 inference(quant_inst,[status(thm)],[])).
% 31.97/20.78 tff(1714,plain,
% 31.97/20.78 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.78 inference(unit_resolution,[status(thm)],[1713, 25])).
% 31.97/20.78 tff(1715,plain,
% 31.97/20.78 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1714])).
% 31.97/20.78 tff(1716,plain,
% 31.97/20.78 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3))),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1491])).
% 31.97/20.78 tff(1717,plain,
% 31.97/20.78 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1716])).
% 31.97/20.78 tff(1718,plain,
% 31.97/20.78 (multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1219])).
% 31.97/20.78 tff(1719,plain,
% 31.97/20.78 (multiply(sk_c6, multiply(sk_c6, identity)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1217])).
% 31.97/20.78 tff(1720,plain,
% 31.97/20.78 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c6, sk_c6), identity)),
% 31.97/20.78 inference(symmetry,[status(thm)],[1216])).
% 31.97/20.78 tff(1721,plain,
% 31.97/20.78 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7) = multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3), sk_c7)),
% 31.97/20.78 inference(symmetry,[status(thm)],[1211])).
% 31.97/20.78 tff(1722,plain,
% 31.97/20.78 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.78 inference(transitivity,[status(thm)],[1135, 1134, 1721, 932, 1720, 947, 1719, 1242, 1718, 1717, 1715])).
% 31.97/20.78 tff(1723,plain,
% 31.97/20.78 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.97/20.78 inference(transitivity,[status(thm)],[1500, 1503, 1526, 1525])).
% 31.97/20.78 tff(1724,plain,
% 31.97/20.78 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1723, 1722])).
% 31.97/20.78 tff(1725,plain,
% 31.97/20.78 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1724])).
% 31.97/20.78 tff(1726,plain,
% 31.97/20.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))))),
% 31.97/20.78 inference(quant_inst,[status(thm)],[])).
% 31.97/20.78 tff(1727,plain,
% 31.97/20.78 (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.78 inference(unit_resolution,[status(thm)],[1726, 25])).
% 31.97/20.78 tff(1728,plain,
% 31.97/20.78 (multiply(sk_c1, sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.97/20.78 inference(transitivity,[status(thm)],[650, 648, 645])).
% 31.97/20.78 tff(1729,plain,
% 31.97/20.78 (multiply(sk_c3, multiply(sk_c1, sk_c7)) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1728])).
% 31.97/20.78 tff(1730,plain,
% 31.97/20.78 (multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.97/20.78 inference(monotonicity,[status(thm)],[783])).
% 31.97/20.78 tff(1731,plain,
% 31.97/20.78 (multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = sk_c7),
% 31.97/20.78 inference(transitivity,[status(thm)],[1730, 614, 611, 215])).
% 31.97/20.78 tff(1732,plain,
% 31.97/20.78 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))) = multiply(multiply(sk_c3, sk_c1), sk_c7)),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1586, 1731])).
% 31.97/20.78 tff(1733,plain,
% 31.97/20.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), inverse(sk_c6)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))))),
% 31.97/20.78 inference(quant_inst,[status(thm)],[])).
% 31.97/20.78 tff(1734,plain,
% 31.97/20.78 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), inverse(sk_c6)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(inverse(sk_c6), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))))),
% 31.97/20.78 inference(unit_resolution,[status(thm)],[1733, 25])).
% 31.97/20.78 tff(1735,plain,
% 31.97/20.78 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), inverse(sk_c6)) = multiply(multiply(sk_c3, sk_c1), inverse(sk_c6))),
% 31.97/20.78 inference(monotonicity,[status(thm)],[1586])).
% 31.97/20.78 tff(1736,plain,
% 31.97/20.78 (multiply(multiply(sk_c3, sk_c1), inverse(sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), inverse(sk_c6))),
% 31.97/20.78 inference(symmetry,[status(thm)],[1735])).
% 31.97/20.78 tff(1737,plain,
% 31.97/20.78 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c1), inverse(sk_c6)) = multiply(sk_c3, multiply(sk_c1, inverse(sk_c6))))),
% 31.97/20.79 inference(quant_inst,[status(thm)],[])).
% 31.97/20.79 tff(1738,plain,
% 31.97/20.79 (multiply(multiply(sk_c3, sk_c1), inverse(sk_c6)) = multiply(sk_c3, multiply(sk_c1, inverse(sk_c6)))),
% 31.97/20.79 inference(unit_resolution,[status(thm)],[1737, 25])).
% 31.97/20.79 tff(1739,plain,
% 31.97/20.79 (multiply(sk_c3, multiply(sk_c1, inverse(sk_c6))) = multiply(multiply(sk_c3, sk_c1), inverse(sk_c6))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1738])).
% 31.97/20.79 tff(1740,plain,
% 31.97/20.79 (multiply(sk_c1, inverse(sk_c6)) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.97/20.79 inference(transitivity,[status(thm)],[1179, 1182])).
% 31.97/20.79 tff(1741,plain,
% 31.97/20.79 (multiply(sk_c3, multiply(sk_c1, inverse(sk_c6))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1740])).
% 31.97/20.79 tff(1742,plain,
% 31.97/20.79 (multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c3, multiply(sk_c1, inverse(sk_c6)))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1741])).
% 31.97/20.79 tff(1743,plain,
% 31.97/20.79 (multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), inverse(sk_c6))),
% 31.97/20.79 inference(transitivity,[status(thm)],[1510, 1742, 1739, 1736])).
% 31.97/20.79 tff(1744,plain,
% 31.97/20.79 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), inverse(sk_c6)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1743])).
% 31.97/20.79 tff(1745,plain,
% 31.97/20.79 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(sk_c3, sk_c6)),
% 31.97/20.79 inference(transitivity,[status(thm)],[1744, 1734, 1732, 733, 1729, 686])).
% 31.97/20.79 tff(1746,plain,
% 31.97/20.79 (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), sk_c7) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1745])).
% 31.97/20.79 tff(1747,plain,
% 31.97/20.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), sk_c7) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7)))),
% 31.97/20.79 inference(quant_inst,[status(thm)],[])).
% 31.97/20.79 tff(1748,plain,
% 31.97/20.79 (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), sk_c7) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7))),
% 31.97/20.79 inference(unit_resolution,[status(thm)],[1747, 25])).
% 31.97/20.79 tff(1749,plain,
% 31.97/20.79 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7)) = multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), sk_c7)),
% 31.97/20.79 inference(symmetry,[status(thm)],[1748])).
% 31.97/20.79 tff(1750,plain,
% 31.97/20.79 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7)) = multiply(multiply(sk_c3, sk_c7), sk_c6)),
% 31.97/20.79 inference(transitivity,[status(thm)],[1749, 1746, 151, 422, 421, 420])).
% 31.97/20.79 tff(1751,plain,
% 31.97/20.79 (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1750])).
% 31.97/20.79 tff(1752,plain,
% 31.97/20.79 (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1751])).
% 31.97/20.79 tff(1753,plain,
% 31.97/20.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))))),
% 31.97/20.79 inference(quant_inst,[status(thm)],[])).
% 31.97/20.79 tff(1754,plain,
% 31.97/20.79 (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.79 inference(unit_resolution,[status(thm)],[1753, 25])).
% 31.97/20.79 tff(1755,plain,
% 31.97/20.79 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1754])).
% 31.97/20.79 tff(1756,plain,
% 31.97/20.79 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(identity, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[683])).
% 31.97/20.79 tff(1757,plain,
% 31.97/20.79 (multiply(identity, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1756])).
% 31.97/20.79 tff(1758,plain,
% 31.97/20.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(identity, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))))),
% 31.97/20.79 inference(quant_inst,[status(thm)],[])).
% 31.97/20.79 tff(1759,plain,
% 31.97/20.79 (multiply(multiply(identity, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(identity, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.79 inference(unit_resolution,[status(thm)],[1758, 25])).
% 31.97/20.79 tff(1760,plain,
% 31.97/20.79 (multiply(multiply(identity, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[114])).
% 31.97/20.79 tff(1761,plain,
% 31.97/20.79 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(identity, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1760])).
% 31.97/20.79 tff(1762,plain,
% 31.97/20.79 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.97/20.79 inference(transitivity,[status(thm)],[1159, 1154, 1151, 1148, 1073, 1071, 984, 1063, 1761, 1759, 1757, 1755, 1752, 1727, 1725, 1712, 1710])).
% 31.97/20.79 tff(1763,plain,
% 31.97/20.79 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c3) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3)),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1762])).
% 31.97/20.79 tff(1764,plain,
% 31.97/20.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c3) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c3)))),
% 31.97/20.79 inference(quant_inst,[status(thm)],[])).
% 31.97/20.79 tff(1765,plain,
% 31.97/20.79 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c3) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c3))),
% 31.97/20.79 inference(unit_resolution,[status(thm)],[1764, 25])).
% 31.97/20.79 tff(1766,plain,
% 31.97/20.79 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c3)) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c3)),
% 31.97/20.79 inference(symmetry,[status(thm)],[1765])).
% 31.97/20.79 tff(1767,plain,
% 31.97/20.79 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.97/20.79 inference(transitivity,[status(thm)],[1540, 1539])).
% 31.97/20.79 tff(1768,plain,
% 31.97/20.79 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c3) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3)),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1767])).
% 31.97/20.79 tff(1769,plain,
% 31.97/20.79 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c3)),
% 31.97/20.79 inference(symmetry,[status(thm)],[1768])).
% 31.97/20.79 tff(1770,plain,
% 31.97/20.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)))),
% 31.97/20.79 inference(quant_inst,[status(thm)],[])).
% 31.97/20.79 tff(1771,plain,
% 31.97/20.79 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3))),
% 31.97/20.79 inference(unit_resolution,[status(thm)],[1770, 25])).
% 31.97/20.79 tff(1772,plain,
% 31.97/20.79 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3)),
% 31.97/20.79 inference(symmetry,[status(thm)],[1771])).
% 31.97/20.79 tff(1773,plain,
% 31.97/20.79 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1702])).
% 31.97/20.79 tff(1774,plain,
% 31.97/20.79 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1773])).
% 31.97/20.79 tff(1775,plain,
% 31.97/20.79 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c3)),
% 31.97/20.79 inference(transitivity,[status(thm)],[1774, 1772, 1769])).
% 31.97/20.79 tff(1776,plain,
% 31.97/20.79 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c3))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1775])).
% 31.97/20.79 tff(1777,plain,
% 31.97/20.79 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.79 inference(transitivity,[status(thm)],[1056, 1637, 1679, 1639, 995, 1644, 1650, 1664, 1661, 1659])).
% 31.97/20.79 tff(1778,plain,
% 31.97/20.79 (multiply(multiply(sk_c1, sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[629, 1184])).
% 31.97/20.79 tff(1779,plain,
% 31.97/20.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c1, multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))))),
% 31.97/20.79 inference(quant_inst,[status(thm)],[])).
% 31.97/20.79 tff(1780,plain,
% 31.97/20.79 (multiply(multiply(sk_c1, sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c1, multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.79 inference(unit_resolution,[status(thm)],[1779, 25])).
% 31.97/20.79 tff(1781,plain,
% 31.97/20.79 (multiply(sk_c1, multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(sk_c1, sk_c7), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1780])).
% 31.97/20.79 tff(1782,plain,
% 31.97/20.79 (multiply(sk_c1, multiply(sk_c6, inverse(sk_c6))) = multiply(sk_c1, multiply(sk_c7, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1583])).
% 31.97/20.79 tff(1783,plain,
% 31.97/20.79 (multiply(sk_c1, multiply(sk_c6, inverse(sk_c6))) = multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))),
% 31.97/20.79 inference(transitivity,[status(thm)],[1782, 1781, 1778])).
% 31.97/20.79 tff(1784,plain,
% 31.97/20.79 (multiply(multiply(sk_c1, multiply(sk_c6, inverse(sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1783, 1777])).
% 31.97/20.79 tff(1785,plain,
% 31.97/20.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, multiply(sk_c6, inverse(sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c1, multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))))),
% 31.97/20.79 inference(quant_inst,[status(thm)],[])).
% 31.97/20.79 tff(1786,plain,
% 31.97/20.79 (multiply(multiply(sk_c1, multiply(sk_c6, inverse(sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c1, multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.79 inference(unit_resolution,[status(thm)],[1785, 25])).
% 31.97/20.79 tff(1787,plain,
% 31.97/20.79 (multiply(sk_c1, multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(sk_c1, multiply(sk_c6, inverse(sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1786])).
% 31.97/20.79 tff(1788,plain,
% 31.97/20.79 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1777])).
% 31.97/20.79 tff(1789,plain,
% 31.97/20.79 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1788])).
% 31.97/20.79 tff(1790,plain,
% 31.97/20.79 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.79 inference(transitivity,[status(thm)],[1678, 1669, 1789])).
% 31.97/20.79 tff(1791,plain,
% 31.97/20.79 (multiply(sk_c1, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c1, multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1790])).
% 31.97/20.79 tff(1792,plain,
% 31.97/20.79 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c1, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1053, 1777])).
% 31.97/20.79 tff(1793,plain,
% 31.97/20.79 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1426])).
% 31.97/20.79 tff(1794,plain,
% 31.97/20.79 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.79 inference(transitivity,[status(thm)],[1793, 1420, 1423, 1428, 1628, 1632, 1695, 1698, 834, 1065, 494, 1654, 1651, 1645, 996, 1640, 991, 1638, 1062])).
% 31.97/20.79 tff(1795,plain,
% 31.97/20.79 (multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1))) = multiply(sk_c3, multiply(sk_c1, sk_c1))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1052])).
% 31.97/20.79 tff(1796,plain,
% 31.97/20.79 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c1)) = multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1050])).
% 31.97/20.79 tff(1797,plain,
% 31.97/20.79 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c1)) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), sk_c1)),
% 31.97/20.79 inference(symmetry,[status(thm)],[1041])).
% 31.97/20.79 tff(1798,plain,
% 31.97/20.79 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3)),
% 31.97/20.79 inference(symmetry,[status(thm)],[1403])).
% 31.97/20.79 tff(1799,plain,
% 31.97/20.79 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.97/20.79 inference(transitivity,[status(thm)],[1400, 1798, 1406, 1409, 643, 641, 83, 86, 90, 635, 634, 1029, 596, 1024, 1023, 1022, 1021, 1020, 698])).
% 31.97/20.79 tff(1800,plain,
% 31.97/20.79 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c1))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1799, 1586])).
% 31.97/20.79 tff(1801,plain,
% 31.97/20.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))))),
% 31.97/20.79 inference(quant_inst,[status(thm)],[])).
% 31.97/20.79 tff(1802,plain,
% 31.97/20.79 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))),
% 31.97/20.79 inference(unit_resolution,[status(thm)],[1801, 25])).
% 31.97/20.79 tff(1803,plain,
% 31.97/20.79 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1802])).
% 31.97/20.79 tff(1804,plain,
% 31.97/20.79 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.97/20.79 inference(transitivity,[status(thm)],[76, 635, 634, 1029, 596, 1024, 1023, 1022, 1021, 1020, 698])).
% 31.97/20.79 tff(1805,plain,
% 31.97/20.79 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c1))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1804, 1586])).
% 31.97/20.79 tff(1806,plain,
% 31.97/20.79 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, sk_c1)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.97/20.79 inference(symmetry,[status(thm)],[1805])).
% 31.97/20.79 tff(1807,plain,
% 31.97/20.79 (sk_c1 = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.97/20.79 inference(transitivity,[status(thm)],[60, 1036, 705, 1038, 1806])).
% 31.97/20.79 tff(1808,plain,
% 31.97/20.79 (multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1807])).
% 31.97/20.79 tff(1809,plain,
% 31.97/20.79 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))) = multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1)),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1588])).
% 31.97/20.79 tff(1810,plain,
% 31.97/20.79 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))) = multiply(sk_c3, multiply(sk_c1, sk_c1))),
% 31.97/20.79 inference(transitivity,[status(thm)],[1809, 1808, 1803, 1800, 1797, 1042, 1045, 1796, 1795])).
% 31.97/20.79 tff(1811,plain,
% 31.97/20.79 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))) = multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.79 inference(monotonicity,[status(thm)],[1810, 1794])).
% 31.97/20.79 tff(1812,plain,
% 31.97/20.79 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))))),
% 31.97/20.79 inference(quant_inst,[status(thm)],[])).
% 31.97/20.79 tff(1813,plain,
% 31.97/20.79 (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))))),
% 31.97/20.80 inference(unit_resolution,[status(thm)],[1812, 25])).
% 31.97/20.80 tff(1814,plain,
% 31.97/20.80 (multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(sk_c7, sk_c6)),
% 31.97/20.80 inference(monotonicity,[status(thm)],[675])).
% 31.97/20.80 tff(1815,plain,
% 31.97/20.80 (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1814])).
% 31.97/20.80 tff(1816,plain,
% 31.97/20.80 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.97/20.80 inference(transitivity,[status(thm)],[458, 773, 441, 439, 437, 111, 330, 1815])).
% 31.97/20.80 tff(1817,plain,
% 31.97/20.80 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1809, 1816])).
% 31.97/20.80 tff(1818,plain,
% 31.97/20.80 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1817])).
% 31.97/20.80 tff(1819,plain,
% 31.97/20.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))))),
% 31.97/20.80 inference(quant_inst,[status(thm)],[])).
% 31.97/20.80 tff(1820,plain,
% 31.97/20.80 (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))))),
% 31.97/20.80 inference(unit_resolution,[status(thm)],[1819, 25])).
% 31.97/20.80 tff(1821,plain,
% 31.97/20.80 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6)),
% 31.97/20.80 inference(monotonicity,[status(thm)],[629])).
% 31.97/20.80 tff(1822,plain,
% 31.97/20.80 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7) = multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))),
% 31.97/20.80 inference(transitivity,[status(thm)],[267, 1821, 272])).
% 31.97/20.80 tff(1823,plain,
% 31.97/20.80 (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1822, 669])).
% 31.97/20.80 tff(1824,plain,
% 31.97/20.80 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1823])).
% 31.97/20.80 tff(1825,plain,
% 31.97/20.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.97/20.80 inference(quant_inst,[status(thm)],[])).
% 31.97/20.80 tff(1826,plain,
% 31.97/20.80 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.97/20.80 inference(unit_resolution,[status(thm)],[1825, 25])).
% 31.97/20.80 tff(1827,plain,
% 31.97/20.80 (multiply(sk_c6, multiply(identity, sk_c1)) = multiply(sk_c6, sk_c1)),
% 31.97/20.80 inference(monotonicity,[status(thm)],[59])).
% 31.97/20.80 tff(1828,plain,
% 31.97/20.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, identity), sk_c1) = multiply(sk_c6, multiply(identity, sk_c1)))),
% 31.97/20.80 inference(quant_inst,[status(thm)],[])).
% 31.97/20.80 tff(1829,plain,
% 31.97/20.80 (multiply(multiply(sk_c6, identity), sk_c1) = multiply(sk_c6, multiply(identity, sk_c1))),
% 31.97/20.80 inference(unit_resolution,[status(thm)],[1828, 25])).
% 31.97/20.80 tff(1830,plain,
% 31.97/20.80 (multiply(multiply(sk_c6, identity), sk_c1) = multiply(sk_c6, sk_c1)),
% 31.97/20.80 inference(transitivity,[status(thm)],[1829, 1827])).
% 31.97/20.80 tff(1831,plain,
% 31.97/20.80 (multiply(multiply(multiply(sk_c6, identity), sk_c1), identity) = multiply(multiply(sk_c6, sk_c1), identity)),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1830])).
% 31.97/20.80 tff(1832,plain,
% 31.97/20.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, identity), sk_c1), identity) = multiply(multiply(sk_c6, identity), multiply(sk_c1, identity)))),
% 31.97/20.80 inference(quant_inst,[status(thm)],[])).
% 31.97/20.80 tff(1833,plain,
% 31.97/20.80 (multiply(multiply(multiply(sk_c6, identity), sk_c1), identity) = multiply(multiply(sk_c6, identity), multiply(sk_c1, identity))),
% 31.97/20.80 inference(unit_resolution,[status(thm)],[1832, 25])).
% 31.97/20.80 tff(1834,plain,
% 31.97/20.80 (multiply(multiply(sk_c6, identity), multiply(sk_c1, identity)) = multiply(multiply(multiply(sk_c6, identity), sk_c1), identity)),
% 31.97/20.80 inference(symmetry,[status(thm)],[1833])).
% 31.97/20.80 tff(1835,plain,
% 31.97/20.80 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, identity), multiply(sk_c1, identity))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[274, 76])).
% 31.97/20.80 tff(1836,plain,
% 31.97/20.80 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c6, multiply(sk_c1, identity))),
% 31.97/20.80 inference(transitivity,[status(thm)],[1835, 1834, 1831, 320])).
% 31.97/20.80 tff(1837,plain,
% 31.97/20.80 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1836])).
% 31.97/20.80 tff(1838,plain,
% 31.97/20.80 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)),
% 31.97/20.80 inference(symmetry,[status(thm)],[1837])).
% 31.97/20.80 tff(1839,plain,
% 31.97/20.80 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.97/20.80 inference(transitivity,[status(thm)],[1135, 1134, 1838, 1826, 1824, 1820, 1818])).
% 31.97/20.80 tff(1840,plain,
% 31.97/20.80 (multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1839])).
% 31.97/20.80 tff(1841,plain,
% 31.97/20.80 (multiply(multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1375])).
% 31.97/20.80 tff(1842,plain,
% 31.97/20.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))))),
% 31.97/20.80 inference(quant_inst,[status(thm)],[])).
% 31.97/20.80 tff(1843,plain,
% 31.97/20.80 (multiply(multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))))),
% 31.97/20.80 inference(unit_resolution,[status(thm)],[1842, 25])).
% 31.97/20.80 tff(1844,plain,
% 31.97/20.80 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))) = multiply(multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1843])).
% 31.97/20.80 tff(1845,plain,
% 31.97/20.80 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1793])).
% 31.97/20.80 tff(1846,plain,
% 31.97/20.80 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1661])).
% 31.97/20.80 tff(1847,plain,
% 31.97/20.80 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4)))),
% 31.97/20.80 inference(transitivity,[status(thm)],[1658, 1846, 1663, 1653, 495, 492, 89, 1699, 1696, 1633, 1629, 1429, 1424, 1421, 1845])).
% 31.97/20.80 tff(1848,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), sk_c4))))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1700, 1847])).
% 31.97/20.80 tff(1849,plain,
% 31.97/20.80 (multiply(identity, identity) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1655, 1665])).
% 31.97/20.80 tff(1850,plain,
% 31.97/20.80 (multiply(sk_c3, sk_c7) = sk_c6),
% 31.97/20.80 inference(transitivity,[status(thm)],[682, 679, 674, 672, 46, 834, 1849, 1848, 1844, 1841, 1840, 1813, 1811, 1792, 1791, 1787, 1784, 1776, 1766, 1763, 1705, 1703, 1701, 1412, 1379, 1376, 1178, 1175, 1159, 1154, 1151, 1148, 1073, 1071, 984, 1063, 981, 979, 1061, 629])).
% 31.97/20.80 tff(1851,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, identity))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1068])).
% 31.97/20.80 tff(1852,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.80 inference(transitivity,[status(thm)],[1851, 996, 1640, 991, 1638, 1062])).
% 31.97/20.80 tff(1853,plain,
% 31.97/20.80 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1852])).
% 31.97/20.80 tff(1854,plain,
% 31.97/20.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.80 inference(quant_inst,[status(thm)],[])).
% 31.97/20.80 tff(1855,plain,
% 31.97/20.80 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.80 inference(unit_resolution,[status(thm)],[1854, 25])).
% 31.97/20.80 tff(1856,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1855])).
% 31.97/20.80 tff(1857,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, identity), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1068])).
% 31.97/20.80 tff(1858,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, identity), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1857])).
% 31.97/20.80 tff(1859,plain,
% 31.97/20.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(identity, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.80 inference(quant_inst,[status(thm)],[])).
% 31.97/20.80 tff(1860,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, identity), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(identity, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.80 inference(unit_resolution,[status(thm)],[1859, 25])).
% 31.97/20.80 tff(1861,plain,
% 31.97/20.80 (multiply(sk_c3, multiply(identity, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c3, identity), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1860])).
% 31.97/20.80 tff(1862,plain,
% 31.97/20.80 (multiply(identity, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(identity, multiply(sk_c1, identity))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[76])).
% 31.97/20.80 tff(1863,plain,
% 31.97/20.80 (multiply(identity, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.97/20.80 inference(transitivity,[status(thm)],[1862, 661, 660, 77])).
% 31.97/20.80 tff(1864,plain,
% 31.97/20.80 (multiply(sk_c3, multiply(identity, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1863])).
% 31.97/20.80 tff(1865,plain,
% 31.97/20.80 (multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(identity, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1864])).
% 31.97/20.80 tff(1866,plain,
% 31.97/20.80 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.80 inference(transitivity,[status(thm)],[1056, 1865, 1861, 1858])).
% 31.97/20.80 tff(1867,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1866])).
% 31.97/20.80 tff(1868,plain,
% 31.97/20.80 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[985, 1062])).
% 31.97/20.80 tff(1869,plain,
% 31.97/20.80 (inverse(sk_c3) = sk_c6),
% 31.97/20.80 inference(transitivity,[status(thm)],[403, 974, 685, 699, 696, 689, 687, 601, 599, 597, 684, 632, 631, 1868, 1867, 1856, 1853, 1701, 1412, 1379, 1376, 1178, 1175, 1159, 1154, 1151, 1148, 1073, 1071, 984, 1063, 981, 979, 1061, 629])).
% 31.97/20.80 tff(1870,plain,
% 31.97/20.80 (multiply(identity, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(identity, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1759])).
% 31.97/20.80 tff(1871,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1727])).
% 31.97/20.80 tff(1872,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.97/20.80 inference(symmetry,[status(thm)],[1712])).
% 31.97/20.80 tff(1873,plain,
% 31.97/20.80 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))),
% 31.97/20.80 inference(transitivity,[status(thm)],[274, 1220, 659, 656, 1081, 667])).
% 31.97/20.80 tff(1874,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.97/20.80 inference(monotonicity,[status(thm)],[1873])).
% 31.97/20.80 tff(1875,plain,
% 31.97/20.80 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c7, multiply(sk_c6, sk_c3))))),
% 31.97/20.80 inference(quant_inst,[status(thm)],[])).
% 31.97/20.80 tff(1876,plain,
% 31.97/20.80 (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7), multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.97/20.80 inference(unit_resolution,[status(thm)],[1875, 25])).
% 31.97/20.80 tff(1877,plain,
% 31.97/20.80 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7), multiply(sk_c6, sk_c3))),
% 31.97/20.81 inference(symmetry,[status(thm)],[1876])).
% 31.97/20.81 tff(1878,plain,
% 31.97/20.81 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1510, 593])).
% 31.97/20.81 tff(1879,plain,
% 31.97/20.81 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 31.97/20.81 inference(symmetry,[status(thm)],[1878])).
% 31.97/20.81 tff(1880,plain,
% 31.97/20.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.81 inference(quant_inst,[status(thm)],[])).
% 31.97/20.81 tff(1881,plain,
% 31.97/20.81 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1880, 25])).
% 31.97/20.81 tff(1882,plain,
% 31.97/20.81 (multiply(sk_c3, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.81 inference(symmetry,[status(thm)],[1881])).
% 31.97/20.81 tff(1883,plain,
% 31.97/20.81 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, identity))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[274])).
% 31.97/20.81 tff(1884,plain,
% 31.97/20.81 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.97/20.81 inference(transitivity,[status(thm)],[1883, 1190, 1187, 83, 86, 90, 77])).
% 31.97/20.81 tff(1885,plain,
% 31.97/20.81 (multiply(sk_c3, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1884])).
% 31.97/20.81 tff(1886,plain,
% 31.97/20.81 (multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.81 inference(symmetry,[status(thm)],[1885])).
% 31.97/20.81 tff(1887,plain,
% 31.97/20.81 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7), multiply(sk_c6, sk_c3))),
% 31.97/20.81 inference(transitivity,[status(thm)],[1056, 1886, 1882, 1879, 1877])).
% 31.97/20.81 tff(1888,plain,
% 31.97/20.81 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7), multiply(sk_c6, sk_c3)))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1887])).
% 31.97/20.81 tff(1889,plain,
% 31.97/20.81 (multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7), multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.81 inference(symmetry,[status(thm)],[1888])).
% 31.97/20.81 tff(1890,plain,
% 31.97/20.81 (multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7), multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))),
% 31.97/20.81 inference(transitivity,[status(thm)],[1889, 981, 979, 1061, 650, 648, 645, 1075, 658, 1221, 275])).
% 31.97/20.81 tff(1891,plain,
% 31.97/20.81 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7), multiply(sk_c6, sk_c3)))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1890])).
% 31.97/20.81 tff(1892,plain,
% 31.97/20.81 (multiply(sk_c1, multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(sk_c1, sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.81 inference(symmetry,[status(thm)],[979])).
% 31.97/20.81 tff(1893,plain,
% 31.97/20.81 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7), multiply(sk_c6, sk_c3)))),
% 31.97/20.81 inference(transitivity,[status(thm)],[274, 1220, 659, 656, 644, 647, 649, 1060, 1892, 980, 1888])).
% 31.97/20.81 tff(1894,plain,
% 31.97/20.81 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.81 inference(transitivity,[status(thm)],[1420, 1423, 1428, 1628, 1632, 1695, 1698, 834, 1065, 494, 1654, 1651, 1645, 996, 1640, 991, 1638, 1062])).
% 31.97/20.81 tff(1895,plain,
% 31.97/20.81 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7), multiply(sk_c6, sk_c3))))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1894, 1893])).
% 31.97/20.81 tff(1896,plain,
% 31.97/20.81 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[783, 1068])).
% 31.97/20.81 tff(1897,plain,
% 31.97/20.81 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))),
% 31.97/20.81 inference(transitivity,[status(thm)],[1896, 1118, 1120, 449, 451, 275])).
% 31.97/20.81 tff(1898,plain,
% 31.97/20.81 (multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1897])).
% 31.97/20.81 tff(1899,plain,
% 31.97/20.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))))),
% 31.97/20.81 inference(quant_inst,[status(thm)],[])).
% 31.97/20.81 tff(1900,plain,
% 31.97/20.81 (multiply(multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1899, 25])).
% 31.97/20.81 tff(1901,plain,
% 31.97/20.81 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.97/20.81 inference(symmetry,[status(thm)],[1374])).
% 31.97/20.81 tff(1902,plain,
% 31.97/20.81 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))))),
% 31.97/20.81 inference(symmetry,[status(thm)],[1372])).
% 31.97/20.81 tff(1903,plain,
% 31.97/20.81 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)))),
% 31.97/20.81 inference(transitivity,[status(thm)],[1721, 932, 1720, 947, 1719, 1242, 1718, 1902, 1901])).
% 31.97/20.81 tff(1904,plain,
% 31.97/20.81 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c4)), multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1903, 1067])).
% 31.97/20.81 tff(1905,plain,
% 31.97/20.81 (sk_c7 = multiply(sk_c1, identity)),
% 31.97/20.81 inference(transitivity,[status(thm)],[974, 685, 699, 696, 689, 687, 601, 599, 597, 684, 661, 660])).
% 31.97/20.81 tff(1906,plain,
% 31.97/20.81 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(sk_c6, identity), multiply(sk_c1, identity))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[274, 1905])).
% 31.97/20.81 tff(1907,plain,
% 31.97/20.81 (sk_c5 = sk_c6),
% 31.97/20.81 inference(transitivity,[status(thm)],[112, 436, 465, 440, 1906, 1834, 1831, 1146, 925, 1145, 1143, 1142, 1904, 1900, 1898, 1895, 1891, 1874, 1709, 1872, 1724, 1871, 1751, 1754, 1756, 1870, 1760, 981, 979, 1061, 629])).
% 31.97/20.81 tff(1908,plain,
% 31.97/20.81 ((multiply(sk_c3, sk_c7) = sk_c5) <=> (multiply(sk_c3, sk_c7) = sk_c6)),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1907])).
% 31.97/20.81 tff(1909,plain,
% 31.97/20.81 ((multiply(sk_c3, sk_c7) = sk_c6) <=> (multiply(sk_c3, sk_c7) = sk_c5)),
% 31.97/20.81 inference(symmetry,[status(thm)],[1908])).
% 31.97/20.81 tff(1910,plain,
% 31.97/20.81 (multiply(sk_c3, sk_c7) = sk_c5),
% 31.97/20.81 inference(modus_ponens,[status(thm)],[1850, 1909])).
% 31.97/20.81 tff(1911,plain,
% 31.97/20.81 (multiply(multiply(identity, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1863])).
% 31.97/20.81 tff(1912,plain,
% 31.97/20.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(identity, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.97/20.81 inference(quant_inst,[status(thm)],[])).
% 31.97/20.81 tff(1913,plain,
% 31.97/20.81 (multiply(multiply(identity, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(identity, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1912, 25])).
% 31.97/20.81 tff(1914,plain,
% 31.97/20.81 (multiply(identity, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(identity, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)),
% 31.97/20.81 inference(symmetry,[status(thm)],[1913])).
% 31.97/20.81 tff(1915,plain,
% 31.97/20.81 (multiply(multiply(sk_c3, sk_c7), sk_c6) = multiply(identity, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[683, 652])).
% 31.97/20.81 tff(1916,plain,
% 31.97/20.81 (multiply(sk_c3, sk_c5) = sk_c6),
% 31.97/20.81 inference(transitivity,[status(thm)],[421, 420, 1915, 1914, 1911, 644, 647, 649, 629])).
% 31.97/20.81 tff(1917,plain,
% 31.97/20.81 ((~(multiply(sk_c3, sk_c6) = sk_c7)) | (~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[627, 1916])).
% 31.97/20.81 tff(1918,plain,
% 31.97/20.81 ((~(multiply(sk_c3, sk_c7) = sk_c5)) | (~(inverse(sk_c3) = sk_c6)) | (~(multiply(sk_c3, sk_c7) = sk_c6))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1917, 973])).
% 31.97/20.81 tff(1919,plain,
% 31.97/20.81 ($false),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1918, 1910, 1869, 1850])).
% 31.97/20.81 tff(1920,plain,(~(inverse(sk_c4) = sk_c6)), inference(lemma,lemma(discharge,[]))).
% 31.97/20.81 tff(1921,plain,
% 31.97/20.81 (((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6))),
% 31.97/20.81 inference(rewrite,[status(thm)],[])).
% 31.97/20.81 tff(1922,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_14')).
% 31.97/20.81 tff(1923,plain,
% 31.97/20.81 ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c6)),
% 31.97/20.81 inference(modus_ponens,[status(thm)],[1922, 1921])).
% 31.97/20.81 tff(1924,plain,
% 31.97/20.81 (inverse(sk_c1) = sk_c7),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1923, 1920])).
% 31.97/20.81 tff(1925,plain,
% 31.97/20.81 (sk_c7 = inverse(sk_c1)),
% 31.97/20.81 inference(symmetry,[status(thm)],[1924])).
% 31.97/20.81 tff(1926,plain,
% 31.97/20.81 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = inverse(multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.81 inference(transitivity,[status(thm)],[686, 973, 1925, 1055])).
% 31.97/20.81 tff(1927,plain,
% 31.97/20.81 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))), multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1926])).
% 31.97/20.81 tff(1928,plain,
% 31.97/20.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c1), sk_c1) = multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.81 inference(quant_inst,[status(thm)],[])).
% 31.97/20.81 tff(1929,plain,
% 31.97/20.81 (multiply(multiply(sk_c3, sk_c1), sk_c1) = multiply(sk_c3, multiply(sk_c1, sk_c1))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1928, 25])).
% 31.97/20.81 tff(1930,plain,
% 31.97/20.81 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c1)) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[985, 1929])).
% 31.97/20.81 tff(1931,plain,
% 31.97/20.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, sk_c1)), sk_c1) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c1)))),
% 31.97/20.81 inference(quant_inst,[status(thm)],[])).
% 31.97/20.81 tff(1932,plain,
% 31.97/20.81 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c1)), sk_c1) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c1))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1931, 25])).
% 31.97/20.81 tff(1933,plain,
% 31.97/20.81 (sk_c1 = multiply(sk_c7, multiply(sk_c3, sk_c1))),
% 31.97/20.81 inference(transitivity,[status(thm)],[60, 1036, 705])).
% 31.97/20.81 tff(1934,plain,
% 31.97/20.81 (multiply(sk_c1, multiply(identity, sk_c1)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c1)), sk_c1)),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1933, 59])).
% 31.97/20.81 tff(1935,plain,
% 31.97/20.81 (multiply(sk_c1, multiply(identity, sk_c1)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.81 inference(transitivity,[status(thm)],[1934, 1932, 1930, 1927, 1035, 834, 997, 494, 1033, 1031, 1026, 996, 993, 991, 989, 637])).
% 31.97/20.81 tff(1936,plain,
% 31.97/20.81 (multiply(sk_c6, sk_c3) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.97/20.81 inference(transitivity,[status(thm)],[653, 643, 641, 83, 86, 90, 635, 634, 1029, 596, 1024, 1023, 1022, 1021, 1020, 698])).
% 31.97/20.81 tff(1937,plain,
% 31.97/20.81 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1936, 1935])).
% 31.97/20.81 tff(1938,plain,
% 31.97/20.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))))),
% 31.97/20.81 inference(quant_inst,[status(thm)],[])).
% 31.97/20.81 tff(1939,plain,
% 31.97/20.81 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1))))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1938, 25])).
% 31.97/20.81 tff(1940,plain,
% 31.97/20.81 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.97/20.81 inference(symmetry,[status(thm)],[1939])).
% 31.97/20.81 tff(1941,plain,
% 31.97/20.81 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1))))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1052])).
% 31.97/20.81 tff(1942,plain,
% 31.97/20.81 (multiply(multiply(identity, sk_c6), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[114])).
% 31.97/20.81 tff(1943,plain,
% 31.97/20.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c6), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(identity, multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1)))))),
% 31.97/20.81 inference(quant_inst,[status(thm)],[])).
% 31.97/20.81 tff(1944,plain,
% 31.97/20.81 (multiply(multiply(identity, sk_c6), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(identity, multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1943, 25])).
% 31.97/20.81 tff(1945,plain,
% 31.97/20.81 (multiply(identity, multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1)))) = multiply(multiply(identity, sk_c6), multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.81 inference(symmetry,[status(thm)],[1944])).
% 31.97/20.81 tff(1946,plain,
% 31.97/20.81 (multiply(multiply(identity, sk_c1), sk_c1) = multiply(sk_c1, multiply(identity, sk_c1))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[59, 60])).
% 31.97/20.81 tff(1947,plain,
% 31.97/20.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c1), sk_c1) = multiply(identity, multiply(sk_c1, sk_c1)))),
% 31.97/20.81 inference(quant_inst,[status(thm)],[])).
% 31.97/20.81 tff(1948,plain,
% 31.97/20.81 (multiply(multiply(identity, sk_c1), sk_c1) = multiply(identity, multiply(sk_c1, sk_c1))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1947, 25])).
% 31.97/20.81 tff(1949,plain,
% 31.97/20.81 (multiply(identity, multiply(sk_c1, sk_c1)) = multiply(multiply(identity, sk_c1), sk_c1)),
% 31.97/20.81 inference(symmetry,[status(thm)],[1948])).
% 31.97/20.81 tff(1950,plain,
% 31.97/20.81 (multiply(sk_c1, multiply(identity, sk_c1)) = multiply(sk_c1, sk_c1)),
% 31.97/20.81 inference(symmetry,[status(thm)],[1051])).
% 31.97/20.81 tff(1951,plain,
% 31.97/20.81 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(identity, multiply(sk_c1, sk_c1))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[445, 1950])).
% 31.97/20.81 tff(1952,plain,
% 31.97/20.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))))),
% 31.97/20.81 inference(quant_inst,[status(thm)],[])).
% 31.97/20.81 tff(1953,plain,
% 31.97/20.81 (multiply(multiply(sk_c7, sk_c3), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1))))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1952, 25])).
% 31.97/20.81 tff(1954,plain,
% 31.97/20.81 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))) = multiply(multiply(sk_c7, sk_c3), multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.97/20.81 inference(symmetry,[status(thm)],[1953])).
% 31.97/20.81 tff(1955,plain,
% 31.97/20.81 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))) = multiply(sk_c1, multiply(identity, sk_c1))),
% 31.97/20.81 inference(transitivity,[status(thm)],[1954, 1951, 1949, 1946])).
% 31.97/20.81 tff(1956,plain,
% 31.97/20.81 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1))))) = multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1955])).
% 31.97/20.81 tff(1957,plain,
% 31.97/20.81 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1))))))),
% 31.97/20.81 inference(quant_inst,[status(thm)],[])).
% 31.97/20.81 tff(1958,plain,
% 31.97/20.81 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))))),
% 31.97/20.81 inference(unit_resolution,[status(thm)],[1957, 25])).
% 31.97/20.81 tff(1959,plain,
% 31.97/20.81 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1))))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1052])).
% 31.97/20.81 tff(1960,plain,
% 31.97/20.81 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(sk_c3, multiply(sk_c1, sk_c1))),
% 31.97/20.81 inference(transitivity,[status(thm)],[1959, 1958, 1956, 1795])).
% 31.97/20.81 tff(1961,plain,
% 31.97/20.81 (multiply(sk_c6, multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1)))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.81 inference(monotonicity,[status(thm)],[1960])).
% 31.97/20.82 tff(1962,plain,
% 31.97/20.82 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c7, multiply(sk_c3, identity))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1033])).
% 31.97/20.82 tff(1963,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1031])).
% 31.97/20.82 tff(1964,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, identity)) = multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1026])).
% 31.97/20.82 tff(1965,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), identity) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), identity)),
% 31.97/20.82 inference(symmetry,[status(thm)],[993])).
% 31.97/20.82 tff(1966,plain,
% 31.97/20.82 (multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity))),
% 31.97/20.82 inference(symmetry,[status(thm)],[989])).
% 31.97/20.82 tff(1967,plain,
% 31.97/20.82 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = identity),
% 31.97/20.82 inference(transitivity,[status(thm)],[638, 1966, 1679, 1965, 995, 1964, 1963, 1962, 495, 1010, 89])).
% 31.97/20.82 tff(1968,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c6, multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1))))) = multiply(identity, multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[1967, 1961])).
% 31.97/20.82 tff(1969,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1961])).
% 31.97/20.82 tff(1970,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, multiply(identity, sk_c1)))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1941])).
% 31.97/20.82 tff(1971,plain,
% 31.97/20.82 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, sk_c1))) = multiply(multiply(sk_c1, identity), sk_c1)),
% 31.97/20.82 inference(monotonicity,[status(thm)],[76, 1585])).
% 31.97/20.82 tff(1972,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[652, 1586])).
% 31.97/20.82 tff(1973,plain,
% 31.97/20.82 (multiply(sk_c3, sk_c1) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1586])).
% 31.97/20.82 tff(1974,plain,
% 31.97/20.82 (multiply(sk_c3, sk_c1) = multiply(sk_c3, multiply(identity, sk_c1))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[60])).
% 31.97/20.82 tff(1975,plain,
% 31.97/20.82 (multiply(sk_c3, multiply(identity, sk_c1)) = multiply(sk_c3, sk_c1)),
% 31.97/20.82 inference(symmetry,[status(thm)],[1974])).
% 31.97/20.82 tff(1976,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c1) = multiply(multiply(sk_c3, identity), sk_c1)),
% 31.97/20.82 inference(monotonicity,[status(thm)],[1000])).
% 31.97/20.82 tff(1977,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c1) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))),
% 31.97/20.82 inference(transitivity,[status(thm)],[1976, 1300, 1975, 1973])).
% 31.97/20.82 tff(1978,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c1)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[1977])).
% 31.97/20.82 tff(1979,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1) = multiply(sk_c1, multiply(identity, sk_c1))),
% 31.97/20.82 inference(transitivity,[status(thm)],[1295, 1978, 1972, 1308, 1971, 308])).
% 31.97/20.82 tff(1980,plain,
% 31.97/20.82 (sk_c7 = multiply(sk_c6, sk_c3)),
% 31.97/20.82 inference(transitivity,[status(thm)],[974, 685, 699, 696, 689, 687, 601, 599, 597, 684, 661, 660, 91, 87, 84, 794, 793, 1195])).
% 31.97/20.82 tff(1981,plain,
% 31.97/20.82 (multiply(sk_c7, multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1)) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[1980, 1979])).
% 31.97/20.82 tff(1982,plain,
% 31.97/20.82 (multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[1114, 1000])).
% 31.97/20.82 tff(1983,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c7, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1982])).
% 31.97/20.82 tff(1984,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity))) = multiply(multiply(sk_c6, identity), identity)),
% 31.97/20.82 inference(monotonicity,[status(thm)],[274, 1011])).
% 31.97/20.82 tff(1985,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, identity), identity) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1984])).
% 31.97/20.82 tff(1986,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.97/20.82 inference(transitivity,[status(thm)],[272, 274, 452, 450, 1985, 1119, 1983, 1113])).
% 31.97/20.82 tff(1987,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6), sk_c1) = multiply(multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))), sk_c1)),
% 31.97/20.82 inference(monotonicity,[status(thm)],[1986])).
% 31.97/20.82 tff(1988,plain,
% 31.97/20.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6), sk_c1) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c6, sk_c1)))),
% 31.97/20.82 inference(quant_inst,[status(thm)],[])).
% 31.97/20.82 tff(1989,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6), sk_c1) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c6, sk_c1))),
% 31.97/20.82 inference(unit_resolution,[status(thm)],[1988, 25])).
% 31.97/20.82 tff(1990,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c6, sk_c1)) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6), sk_c1)),
% 31.97/20.82 inference(symmetry,[status(thm)],[1989])).
% 31.97/20.82 tff(1991,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.82 inference(transitivity,[status(thm)],[262, 1990, 1987, 1316, 1981, 1939, 1970, 1969])).
% 31.97/20.82 tff(1992,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[1408, 1586])).
% 31.97/20.82 tff(1993,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.82 inference(transitivity,[status(thm)],[1992, 1308, 1971, 308, 1934, 1932, 1930, 1927, 1035, 834, 997, 494, 1033, 1031, 1026, 996, 993, 991, 989, 637])).
% 31.97/20.82 tff(1994,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c6, multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1)))))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[1993, 1991])).
% 31.97/20.82 tff(1995,plain,
% 31.97/20.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))))))),
% 31.97/20.82 inference(quant_inst,[status(thm)],[])).
% 31.97/20.82 tff(1996,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))))),
% 31.97/20.82 inference(unit_resolution,[status(thm)],[1995, 25])).
% 31.97/20.82 tff(1997,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1996])).
% 31.97/20.82 tff(1998,plain,
% 31.97/20.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, sk_c1)))))),
% 31.97/20.82 inference(quant_inst,[status(thm)],[])).
% 31.97/20.82 tff(1999,plain,
% 31.97/20.82 (multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.82 inference(unit_resolution,[status(thm)],[1998, 25])).
% 31.97/20.82 tff(2000,plain,
% 31.97/20.82 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, sk_c1)))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1999])).
% 31.97/20.82 tff(2001,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(sk_c6, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), sk_c1))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1978])).
% 31.97/20.82 tff(2002,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1972])).
% 31.97/20.82 tff(2003,plain,
% 31.97/20.82 (multiply(multiply(sk_c1, identity), sk_c1) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, sk_c1)))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1971])).
% 31.97/20.82 tff(2004,plain,
% 31.97/20.82 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c1)), sk_c1) = multiply(sk_c1, multiply(identity, sk_c1))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1934])).
% 31.97/20.82 tff(2005,plain,
% 31.97/20.82 (multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c1)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c1)), sk_c1)),
% 31.97/20.82 inference(symmetry,[status(thm)],[1932])).
% 31.97/20.82 tff(2006,plain,
% 31.97/20.82 (multiply(sk_c3, multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c3, sk_c1), sk_c1)),
% 31.97/20.82 inference(symmetry,[status(thm)],[1929])).
% 31.97/20.82 tff(2007,plain,
% 31.97/20.82 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c1))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2006])).
% 31.97/20.82 tff(2008,plain,
% 31.97/20.82 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1)),
% 31.97/20.82 inference(transitivity,[status(thm)],[2007, 2005, 2004, 309, 2003, 1309, 2002, 2001, 1296])).
% 31.97/20.82 tff(2009,plain,
% 31.97/20.82 (multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, sk_c1)))) = multiply(sk_c7, multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2008])).
% 31.97/20.82 tff(2010,plain,
% 31.97/20.82 (multiply(sk_c7, multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), sk_c1)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.82 inference(symmetry,[status(thm)],[2009])).
% 31.97/20.82 tff(2011,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.82 inference(transitivity,[status(thm)],[262, 1990, 1987, 1316, 2010, 2000])).
% 31.97/20.82 tff(2012,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2011])).
% 31.97/20.82 tff(2013,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1)))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))))),
% 31.97/20.82 inference(symmetry,[status(thm)],[2012])).
% 31.97/20.82 tff(2014,plain,
% 31.97/20.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c7, sk_c7)), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1)))))),
% 31.97/20.82 inference(quant_inst,[status(thm)],[])).
% 31.97/20.82 tff(2015,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c7, sk_c7)), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(multiply(sk_c7, sk_c7), multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.82 inference(unit_resolution,[status(thm)],[2014, 25])).
% 31.97/20.82 tff(2016,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7) = multiply(multiply(sk_c3, sk_c1), sk_c7)),
% 31.97/20.82 inference(monotonicity,[status(thm)],[1586])).
% 31.97/20.82 tff(2017,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7) = multiply(sk_c3, sk_c6)),
% 31.97/20.82 inference(transitivity,[status(thm)],[2016, 733, 1729, 686])).
% 31.97/20.82 tff(2018,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7), sk_c7) = multiply(multiply(sk_c3, sk_c6), sk_c7)),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2017])).
% 31.97/20.82 tff(2019,plain,
% 31.97/20.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c7, sk_c7)))),
% 31.97/20.82 inference(quant_inst,[status(thm)],[])).
% 31.97/20.82 tff(2020,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c7, sk_c7))),
% 31.97/20.82 inference(unit_resolution,[status(thm)],[2019, 25])).
% 31.97/20.82 tff(2021,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), sk_c7), sk_c7)),
% 31.97/20.82 inference(symmetry,[status(thm)],[2020])).
% 31.97/20.82 tff(2022,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c3, sk_c7), sk_c6)),
% 31.97/20.82 inference(transitivity,[status(thm)],[2021, 2018, 151, 422, 421, 420])).
% 31.97/20.82 tff(2023,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c7, sk_c7)), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2022])).
% 31.97/20.82 tff(2024,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c7, sk_c7)), multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.82 inference(symmetry,[status(thm)],[2023])).
% 31.97/20.82 tff(2025,plain,
% 31.97/20.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1)))))),
% 31.97/20.82 inference(quant_inst,[status(thm)],[])).
% 31.97/20.82 tff(2026,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.82 inference(unit_resolution,[status(thm)],[2025, 25])).
% 31.97/20.82 tff(2027,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1)))) = multiply(multiply(multiply(sk_c3, sk_c7), sk_c6), multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.82 inference(symmetry,[status(thm)],[2026])).
% 31.97/20.82 tff(2028,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1)))) = multiply(identity, multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[683])).
% 31.97/20.82 tff(2029,plain,
% 31.97/20.82 (multiply(identity, multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1)))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.82 inference(symmetry,[status(thm)],[2028])).
% 31.97/20.82 tff(2030,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(multiply(identity, sk_c6), multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.82 inference(symmetry,[status(thm)],[1942])).
% 31.97/20.82 tff(2031,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1))))),
% 31.97/20.82 inference(transitivity,[status(thm)],[2030, 1944, 2029, 2027, 2024, 2015, 2013])).
% 31.97/20.82 tff(2032,plain,
% 31.97/20.82 (sk_c6 = multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))),
% 31.97/20.82 inference(transitivity,[status(thm)],[651, 650, 648, 645, 1075, 658, 1221, 275])).
% 31.97/20.82 tff(2033,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1)))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))), multiply(sk_c6, multiply(inverse(sk_c6), multiply(sk_c6, sk_c1)))))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2032, 2031])).
% 31.97/20.82 tff(2034,plain,
% 31.97/20.82 (multiply(identity, multiply(sk_c1, multiply(identity, sk_c1))) = multiply(identity, multiply(sk_c1, sk_c1))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[1950])).
% 31.97/20.82 tff(2035,plain,
% 31.97/20.82 (multiply(identity, multiply(sk_c1, multiply(identity, sk_c1))) = multiply(sk_c1, multiply(identity, sk_c1))),
% 31.97/20.82 inference(transitivity,[status(thm)],[2034, 1949, 1946])).
% 31.97/20.82 tff(2036,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, sk_c3), multiply(identity, multiply(sk_c1, multiply(identity, sk_c1)))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2035])).
% 31.97/20.82 tff(2037,plain,
% 31.97/20.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c3), identity), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(multiply(sk_c6, sk_c3), multiply(identity, multiply(sk_c1, multiply(identity, sk_c1)))))),
% 31.97/20.82 inference(quant_inst,[status(thm)],[])).
% 31.97/20.82 tff(2038,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c6, sk_c3), identity), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(multiply(sk_c6, sk_c3), multiply(identity, multiply(sk_c1, multiply(identity, sk_c1))))),
% 31.97/20.82 inference(unit_resolution,[status(thm)],[2037, 25])).
% 31.97/20.82 tff(2039,plain,
% 31.97/20.82 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), identity) = multiply(sk_c6, multiply(sk_c3, identity)))),
% 31.97/20.82 inference(quant_inst,[status(thm)],[])).
% 31.97/20.82 tff(2040,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, sk_c3), identity) = multiply(sk_c6, multiply(sk_c3, identity))),
% 31.97/20.82 inference(unit_resolution,[status(thm)],[2039, 25])).
% 31.97/20.82 tff(2041,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(sk_c3, identity)) = multiply(multiply(sk_c6, sk_c3), identity)),
% 31.97/20.82 inference(symmetry,[status(thm)],[2040])).
% 31.97/20.82 tff(2042,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(sk_c3, identity)) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[999])).
% 31.97/20.82 tff(2043,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c6, multiply(sk_c3, identity))),
% 31.97/20.82 inference(symmetry,[status(thm)],[2042])).
% 31.97/20.82 tff(2044,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c6, sk_c3), identity)),
% 31.97/20.82 inference(transitivity,[status(thm)],[2043, 2041])).
% 31.97/20.82 tff(2045,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(multiply(multiply(sk_c6, sk_c3), identity), multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2044])).
% 31.97/20.82 tff(2046,plain,
% 31.97/20.82 (multiply(identity, inverse(sk_c6)) = multiply(multiply(sk_c7, sk_c3), inverse(sk_c6))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[407])).
% 31.97/20.82 tff(2047,plain,
% 31.97/20.82 (inverse(sk_c6) = multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))),
% 31.97/20.82 inference(transitivity,[status(thm)],[1101, 2046, 1096])).
% 31.97/20.82 tff(2048,plain,
% 31.97/20.82 (multiply(sk_c3, inverse(sk_c6)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2047])).
% 31.97/20.82 tff(2049,plain,
% 31.97/20.82 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))) = multiply(sk_c3, inverse(sk_c6))),
% 31.97/20.82 inference(symmetry,[status(thm)],[2048])).
% 31.97/20.82 tff(2050,plain,
% 31.97/20.82 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2049, 593])).
% 31.97/20.82 tff(2051,plain,
% 31.97/20.82 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.97/20.82 inference(transitivity,[status(thm)],[1107, 2050, 1094, 1092, 999])).
% 31.97/20.82 tff(2052,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2051])).
% 31.97/20.82 tff(2053,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2052])).
% 31.97/20.82 tff(2054,plain,
% 31.97/20.82 (multiply(multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.82 inference(transitivity,[status(thm)],[2053, 2045, 2038, 2036, 1939, 1970])).
% 31.97/20.82 tff(2055,plain,
% 31.97/20.82 (multiply(sk_c6, multiply(multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))), multiply(sk_c1, multiply(identity, sk_c1)))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c1, sk_c1))))),
% 31.97/20.82 inference(monotonicity,[status(thm)],[2054])).
% 31.97/20.83 tff(2056,plain,
% 31.97/20.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(sk_c6, multiply(multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))), multiply(sk_c1, multiply(identity, sk_c1)))))),
% 31.97/20.83 inference(quant_inst,[status(thm)],[])).
% 31.97/20.83 tff(2057,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(sk_c6, multiply(multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))), multiply(sk_c1, multiply(identity, sk_c1))))),
% 31.97/20.83 inference(unit_resolution,[status(thm)],[2056, 25])).
% 31.97/20.83 tff(2058,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2052])).
% 31.97/20.83 tff(2059,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(sk_c6, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2058])).
% 31.97/20.83 tff(2060,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))), multiply(sk_c1, multiply(identity, sk_c1))) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))), multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2059])).
% 31.97/20.83 tff(2061,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(sk_c7, multiply(multiply(sk_c3, sk_c1), sk_c1))),
% 31.97/20.83 inference(symmetry,[status(thm)],[1930])).
% 31.97/20.83 tff(2062,plain,
% 31.97/20.83 (multiply(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))), multiply(sk_c3, multiply(sk_c1, sk_c1))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.83 inference(symmetry,[status(thm)],[1927])).
% 31.97/20.83 tff(2063,plain,
% 31.97/20.83 (identity = multiply(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))), multiply(sk_c3, multiply(sk_c1, sk_c1)))),
% 31.97/20.83 inference(symmetry,[status(thm)],[1035])).
% 31.97/20.83 tff(2064,plain,
% 31.97/20.83 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(sk_c1, multiply(identity, sk_c1))),
% 31.97/20.83 inference(transitivity,[status(thm)],[638, 1966, 1679, 1965, 995, 1964, 1963, 1962, 495, 1010, 89, 2063, 2062, 2061, 2005, 2004])).
% 31.97/20.83 tff(2065,plain,
% 31.97/20.83 (multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[1128, 2052])).
% 31.97/20.83 tff(2066,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))),
% 31.97/20.83 inference(symmetry,[status(thm)],[1126])).
% 31.97/20.83 tff(2067,plain,
% 31.97/20.83 (multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))) = multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2052])).
% 31.97/20.83 tff(2068,plain,
% 31.97/20.83 (multiply(sk_c7, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2067])).
% 31.97/20.83 tff(2069,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))),
% 31.97/20.83 inference(transitivity,[status(thm)],[274, 452, 450, 1985, 1119, 1983, 1113, 2068])).
% 31.97/20.83 tff(2070,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3)))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2069])).
% 31.97/20.83 tff(2071,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, sk_c7))) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, sk_c7))),
% 31.97/20.83 inference(symmetry,[status(thm)],[1080])).
% 31.97/20.83 tff(2072,plain,
% 31.97/20.83 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))))),
% 31.97/20.83 inference(quant_inst,[status(thm)],[])).
% 31.97/20.83 tff(2073,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))))),
% 31.97/20.83 inference(unit_resolution,[status(thm)],[2072, 25])).
% 31.97/20.83 tff(2074,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2073])).
% 31.97/20.83 tff(2075,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))) = multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.97/20.83 inference(transitivity,[status(thm)],[2074, 1077, 2071, 1085, 1088, 1090, 2070, 2066, 2065])).
% 31.97/20.83 tff(2076,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))), multiply(sk_c1, multiply(identity, sk_c1)))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2075, 2064])).
% 31.97/20.83 tff(2077,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2070])).
% 31.97/20.83 tff(2078,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(multiply(sk_c6, sk_c3), sk_c7), multiply(sk_c6, multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7), multiply(sk_c6, sk_c3))))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2065])).
% 31.97/20.83 tff(2079,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(sk_c1, identity)) = multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.83 inference(symmetry,[status(thm)],[1133])).
% 31.97/20.83 tff(2080,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2079])).
% 31.97/20.83 tff(2081,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)),
% 31.97/20.83 inference(symmetry,[status(thm)],[2080])).
% 31.97/20.83 tff(2082,plain,
% 31.97/20.83 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7) = sk_c6),
% 31.97/20.83 inference(transitivity,[status(thm)],[644, 647, 649, 629])).
% 31.97/20.83 tff(2083,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(sk_c6, sk_c6)),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2082])).
% 31.97/20.83 tff(2084,plain,
% 31.97/20.83 (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2083])).
% 31.97/20.83 tff(2085,plain,
% 31.97/20.83 (multiply(sk_c6, sk_c6) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)),
% 31.97/20.83 inference(transitivity,[status(thm)],[2084, 1135, 2081])).
% 31.97/20.83 tff(2086,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, identity))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2085, 1000])).
% 31.97/20.83 tff(2087,plain,
% 31.97/20.83 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2086])).
% 31.97/20.83 tff(2088,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, multiply(sk_c3, identity))) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), identity)),
% 31.97/20.83 inference(monotonicity,[status(thm)],[1011])).
% 31.97/20.83 tff(2089,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), identity) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2088])).
% 31.97/20.83 tff(2090,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(identity, sk_c1)) = multiply(multiply(sk_c6, identity), sk_c1)),
% 31.97/20.83 inference(symmetry,[status(thm)],[1829])).
% 31.97/20.83 tff(2091,plain,
% 31.97/20.83 (multiply(sk_c6, sk_c1) = multiply(sk_c6, multiply(identity, sk_c1))),
% 31.97/20.83 inference(symmetry,[status(thm)],[1827])).
% 31.97/20.83 tff(2092,plain,
% 31.97/20.83 (multiply(sk_c6, sk_c1) = multiply(multiply(sk_c6, identity), sk_c1)),
% 31.97/20.83 inference(transitivity,[status(thm)],[2091, 2090])).
% 31.97/20.83 tff(2093,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, sk_c1), identity) = multiply(multiply(multiply(sk_c6, identity), sk_c1), identity)),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2092])).
% 31.97/20.83 tff(2094,plain,
% 31.97/20.83 (multiply(multiply(multiply(sk_c6, identity), sk_c1), identity) = multiply(multiply(sk_c6, sk_c1), identity)),
% 31.97/20.83 inference(symmetry,[status(thm)],[2093])).
% 31.97/20.83 tff(2095,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))))),
% 31.97/20.83 inference(transitivity,[status(thm)],[1906, 1834, 2094, 927, 925, 922, 2089, 1142, 2087, 1132, 2078, 1126, 2077, 1091, 1089, 1086, 1080, 1078, 2073])).
% 31.97/20.83 tff(2096,plain,
% 31.97/20.83 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2095, 637])).
% 31.97/20.83 tff(2097,plain,
% 31.97/20.83 (multiply(sk_c1, identity) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.83 inference(transitivity,[status(thm)],[635, 634, 632, 631])).
% 31.97/20.83 tff(2098,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, identity), multiply(sk_c1, identity)) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[275, 2097])).
% 31.97/20.83 tff(2099,plain,
% 31.97/20.83 (((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c7) = sk_c5)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c7) = sk_c5))),
% 31.97/20.83 inference(rewrite,[status(thm)],[])).
% 31.97/20.83 tff(2100,plain,
% 31.97/20.83 (((multiply(sk_c2, sk_c7) = sk_c5) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c7) = sk_c5))),
% 31.97/20.83 inference(rewrite,[status(thm)],[])).
% 31.97/20.83 tff(2101,axiom,((multiply(sk_c2, sk_c7) = sk_c5) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_19')).
% 31.97/20.83 tff(2102,plain,
% 31.97/20.83 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c7) = sk_c5)),
% 31.97/20.83 inference(modus_ponens,[status(thm)],[2101, 2100])).
% 31.97/20.83 tff(2103,plain,
% 31.97/20.83 ((inverse(sk_c4) = sk_c6) | (multiply(sk_c2, sk_c7) = sk_c5)),
% 31.97/20.83 inference(modus_ponens,[status(thm)],[2102, 2099])).
% 31.97/20.83 tff(2104,plain,
% 31.97/20.83 (multiply(sk_c2, sk_c7) = sk_c5),
% 31.97/20.83 inference(unit_resolution,[status(thm)],[2103, 1920])).
% 31.97/20.83 tff(2105,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, identity), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[1000])).
% 31.97/20.83 tff(2106,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.83 inference(transitivity,[status(thm)],[2105, 1860, 1864, 637])).
% 31.97/20.83 tff(2107,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2106])).
% 31.97/20.83 tff(2108,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, identity))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[1000])).
% 31.97/20.83 tff(2109,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, identity)) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2108])).
% 31.97/20.83 tff(2110,plain,
% 31.97/20.83 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.83 inference(transitivity,[status(thm)],[638, 1966, 1679, 1965, 995, 2109])).
% 31.97/20.83 tff(2111,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2110])).
% 31.97/20.83 tff(2112,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)),
% 31.97/20.83 inference(transitivity,[status(thm)],[1135, 2081])).
% 31.97/20.83 tff(2113,plain,
% 31.97/20.83 (multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2112])).
% 31.97/20.83 tff(2114,plain,
% 31.97/20.83 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)) = multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2113])).
% 31.97/20.83 tff(2115,plain,
% 31.97/20.83 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)) = multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.97/20.83 inference(transitivity,[status(thm)],[668, 665, 1707, 1478, 2114])).
% 31.97/20.83 tff(2116,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2115])).
% 31.97/20.83 tff(2117,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2116])).
% 31.97/20.83 tff(2118,plain,
% 31.97/20.83 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c6, sk_c3)),
% 31.97/20.83 inference(transitivity,[status(thm)],[639, 663, 662, 661, 660, 91, 87, 84, 794, 793, 1195])).
% 31.97/20.83 tff(2119,plain,
% 31.97/20.83 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2118])).
% 31.97/20.83 tff(2120,plain,
% 31.97/20.83 (multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2119])).
% 31.97/20.83 tff(2121,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, sk_c6), identity) = multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, sk_c7))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2085, 1215])).
% 31.97/20.83 tff(2122,plain,
% 31.97/20.83 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), multiply(sk_c3, sk_c7)) = multiply(multiply(sk_c6, sk_c6), identity)),
% 31.97/20.83 inference(symmetry,[status(thm)],[2121])).
% 31.97/20.83 tff(2123,plain,
% 31.97/20.83 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3) = multiply(sk_c6, multiply(sk_c1, identity))),
% 31.97/20.83 inference(transitivity,[status(thm)],[908, 910, 921, 924, 926, 320])).
% 31.97/20.83 tff(2124,plain,
% 31.97/20.83 (multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3), sk_c7) = multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7)),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2123])).
% 31.97/20.83 tff(2125,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7) = multiply(multiply(multiply(multiply(sk_c6, multiply(sk_c1, identity)), sk_c7), sk_c3), sk_c7)),
% 31.97/20.83 inference(symmetry,[status(thm)],[2124])).
% 31.97/20.83 tff(2126,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.83 inference(transitivity,[status(thm)],[1135, 2081, 2125, 932, 2122, 947, 1719, 1242, 1718, 2120, 1715])).
% 31.97/20.83 tff(2127,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), inverse(sk_c6))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[638])).
% 31.97/20.83 tff(2128,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.97/20.83 inference(transitivity,[status(thm)],[2127, 1503, 1526, 1525])).
% 31.97/20.83 tff(2129,plain,
% 31.97/20.83 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2128, 2126])).
% 31.97/20.83 tff(2130,plain,
% 31.97/20.83 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c7)), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), inverse(sk_c6)), multiply(sk_c6, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2129])).
% 31.97/20.83 tff(2131,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, sk_c3), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[1016])).
% 31.97/20.83 tff(2132,plain,
% 31.97/20.83 (multiply(sk_c6, multiply(sk_c1, identity)) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.97/20.83 inference(transitivity,[status(thm)],[919, 927, 925, 922, 2089, 1142, 2087, 1132, 2078, 1126, 2077, 1091, 1089, 1086, 1080, 1078])).
% 31.97/20.83 tff(2133,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c1, identity)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c6, sk_c3), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2132])).
% 31.97/20.83 tff(2134,plain,
% 31.97/20.83 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, identity)) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.83 inference(symmetry,[status(thm)],[1015])).
% 31.97/20.83 tff(2135,plain,
% 31.97/20.83 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), identity) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, identity)))),
% 31.97/20.83 inference(symmetry,[status(thm)],[1012])).
% 31.97/20.83 tff(2136,plain,
% 31.97/20.83 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.83 inference(transitivity,[status(thm)],[76, 91, 87, 84, 2135, 1156, 2134])).
% 31.97/20.83 tff(2137,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2136])).
% 31.97/20.83 tff(2138,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 31.97/20.83 inference(transitivity,[status(thm)],[2137, 1154, 1151, 2133, 1073, 2131, 984, 982, 1761, 1759, 1757, 1755, 1752, 1727, 2130, 1712, 2117])).
% 31.97/20.83 tff(2139,plain,
% 31.97/20.83 (multiply(multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c3) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3)),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2138])).
% 31.97/20.83 tff(2140,plain,
% 31.97/20.83 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2136])).
% 31.97/20.83 tff(2141,plain,
% 31.97/20.83 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.83 inference(symmetry,[status(thm)],[2140])).
% 31.97/20.83 tff(2142,plain,
% 31.97/20.83 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.83 inference(transitivity,[status(thm)],[638, 1966, 1679, 1965, 995, 1964, 1963, 1664, 1661, 2141])).
% 31.97/20.83 tff(2143,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2142])).
% 31.97/20.83 tff(2144,plain,
% 31.97/20.83 (multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = sk_c7),
% 31.97/20.83 inference(transitivity,[status(thm)],[2143, 1776, 1766, 2139, 1705, 1703, 2111, 1855, 2107, 987, 663, 662, 1029, 596, 1024, 1023, 1022, 1021, 1020, 698, 686, 973])).
% 31.97/20.83 tff(2145,plain,
% 31.97/20.83 (multiply(sk_c2, multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(sk_c2, sk_c7)),
% 31.97/20.83 inference(monotonicity,[status(thm)],[2144])).
% 31.97/20.84 tff(2146,plain,
% 31.97/20.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c2, multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))))),
% 31.97/20.84 inference(quant_inst,[status(thm)],[])).
% 31.97/20.84 tff(2147,plain,
% 31.97/20.84 (multiply(multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c2, multiply(multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.84 inference(unit_resolution,[status(thm)],[2146, 25])).
% 31.97/20.84 tff(2148,plain,
% 31.97/20.84 (multiply(multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.97/20.84 inference(transitivity,[status(thm)],[2147, 2145, 2104, 112, 436, 465, 440, 1906, 2098, 811, 2096, 2076, 2060, 2057, 2055, 2033, 1997, 1994, 1968, 1945, 1942, 1941, 1940, 1937, 987, 663, 662, 661, 660, 77])).
% 31.97/20.84 tff(2149,plain,
% 31.97/20.84 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = multiply(sk_c6, sk_c3)),
% 31.97/20.84 inference(transitivity,[status(thm)],[76, 91, 87, 84, 794, 793, 1195])).
% 31.97/20.84 tff(2150,plain,
% 31.97/20.84 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2149, 2148])).
% 31.97/20.84 tff(2151,plain,
% 31.97/20.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))))),
% 31.97/20.84 inference(quant_inst,[status(thm)],[])).
% 31.97/20.84 tff(2152,plain,
% 31.97/20.84 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))))),
% 31.97/20.84 inference(unit_resolution,[status(thm)],[2151, 25])).
% 31.97/20.84 tff(2153,plain,
% 31.97/20.84 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.84 inference(transitivity,[status(thm)],[2140, 1846, 1663, 1031, 1026, 996, 993, 991, 989, 637])).
% 31.97/20.84 tff(2154,plain,
% 31.97/20.84 (multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)) = multiply(multiply(multiply(sk_c6, identity), sk_c1), inverse(sk_c6))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2092])).
% 31.97/20.84 tff(2155,plain,
% 31.97/20.84 (multiply(multiply(multiply(sk_c6, identity), sk_c1), inverse(sk_c6)) = multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2154])).
% 31.97/20.84 tff(2156,plain,
% 31.97/20.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, identity), sk_c1), inverse(sk_c6)) = multiply(multiply(sk_c6, identity), multiply(sk_c1, inverse(sk_c6))))),
% 31.97/20.84 inference(quant_inst,[status(thm)],[])).
% 31.97/20.84 tff(2157,plain,
% 31.97/20.84 (multiply(multiply(multiply(sk_c6, identity), sk_c1), inverse(sk_c6)) = multiply(multiply(sk_c6, identity), multiply(sk_c1, inverse(sk_c6)))),
% 31.97/20.84 inference(unit_resolution,[status(thm)],[2156, 25])).
% 31.97/20.84 tff(2158,plain,
% 31.97/20.84 (multiply(multiply(sk_c6, identity), multiply(sk_c1, inverse(sk_c6))) = multiply(multiply(multiply(sk_c6, identity), sk_c1), inverse(sk_c6))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2157])).
% 31.97/20.84 tff(2159,plain,
% 31.97/20.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c3), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))))),
% 31.97/20.84 inference(quant_inst,[status(thm)],[])).
% 31.97/20.84 tff(2160,plain,
% 31.97/20.84 (multiply(multiply(sk_c7, sk_c3), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.84 inference(unit_resolution,[status(thm)],[2159, 25])).
% 31.97/20.84 tff(2161,plain,
% 31.97/20.84 (multiply(multiply(sk_c7, sk_c3), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(identity, multiply(sk_c1, inverse(sk_c6)))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[445, 1184])).
% 31.97/20.84 tff(2162,plain,
% 31.97/20.84 (multiply(identity, multiply(sk_c1, inverse(sk_c6))) = multiply(multiply(sk_c7, sk_c3), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2161])).
% 31.97/20.84 tff(2163,plain,
% 31.97/20.84 (multiply(sk_c1, inverse(sk_c6)) = multiply(multiply(identity, sk_c1), inverse(sk_c6))),
% 31.97/20.84 inference(symmetry,[status(thm)],[1552])).
% 31.97/20.84 tff(2164,plain,
% 31.97/20.84 (multiply(sk_c1, inverse(sk_c6)) = multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.84 inference(transitivity,[status(thm)],[2163, 1554, 2162, 2160])).
% 31.97/20.84 tff(2165,plain,
% 31.97/20.84 (multiply(multiply(sk_c6, identity), multiply(sk_c1, inverse(sk_c6))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[275, 2164])).
% 31.97/20.84 tff(2166,plain,
% 31.97/20.84 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))) = multiply(multiply(sk_c6, identity), multiply(sk_c1, inverse(sk_c6)))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2165])).
% 31.97/20.84 tff(2167,plain,
% 31.97/20.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))))),
% 31.97/20.84 inference(quant_inst,[status(thm)],[])).
% 31.97/20.84 tff(2168,plain,
% 31.97/20.84 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))))),
% 31.97/20.84 inference(unit_resolution,[status(thm)],[2167, 25])).
% 31.97/20.84 tff(2169,plain,
% 31.97/20.84 (multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 31.97/20.84 inference(transitivity,[status(thm)],[441, 439, 437, 111, 330, 806, 328])).
% 31.97/20.84 tff(2170,plain,
% 31.97/20.84 (multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2169, 1525])).
% 31.97/20.84 tff(2171,plain,
% 31.97/20.84 (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))) = multiply(multiply(multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2170])).
% 31.97/20.84 tff(2172,plain,
% 31.97/20.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))))))),
% 31.97/20.84 inference(quant_inst,[status(thm)],[])).
% 31.97/20.84 tff(2173,plain,
% 31.97/20.84 (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))))),
% 31.97/20.84 inference(unit_resolution,[status(thm)],[2172, 25])).
% 31.97/20.84 tff(2174,plain,
% 31.97/20.84 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))))) = multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2173])).
% 31.97/20.84 tff(2175,plain,
% 31.97/20.84 (multiply(multiply(sk_c7, sk_c3), inverse(sk_c6)) = multiply(identity, inverse(sk_c6))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2046])).
% 31.97/20.84 tff(2176,plain,
% 31.97/20.84 (multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))) = inverse(sk_c6)),
% 31.97/20.84 inference(transitivity,[status(thm)],[1388, 2175, 1100])).
% 31.97/20.84 tff(2177,plain,
% 31.97/20.84 (multiply(multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2176, 1415])).
% 31.97/20.84 tff(2178,plain,
% 31.97/20.84 (multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.97/20.84 inference(transitivity,[status(thm)],[1615, 1611, 2177])).
% 31.97/20.84 tff(2179,plain,
% 31.97/20.84 (multiply(sk_c7, sk_c1) = multiply(multiply(sk_c1, identity), sk_c1)),
% 31.97/20.84 inference(monotonicity,[status(thm)],[1905])).
% 31.97/20.84 tff(2180,plain,
% 31.97/20.84 (multiply(sk_c7, sk_c1) = multiply(sk_c1, multiply(identity, sk_c1))),
% 31.97/20.84 inference(transitivity,[status(thm)],[2179, 308])).
% 31.97/20.84 tff(2181,plain,
% 31.97/20.84 (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))))) = multiply(multiply(sk_c1, multiply(identity, sk_c1)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2180, 2178])).
% 31.97/20.84 tff(2182,plain,
% 31.97/20.84 (multiply(multiply(sk_c1, multiply(identity, sk_c1)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2181])).
% 31.97/20.84 tff(2183,plain,
% 31.97/20.84 (multiply(multiply(sk_c1, multiply(identity, sk_c1)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[1935])).
% 31.97/20.84 tff(2184,plain,
% 31.97/20.84 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c1, multiply(identity, sk_c1)), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2183])).
% 31.97/20.84 tff(2185,plain,
% 31.97/20.84 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2110])).
% 31.97/20.84 tff(2186,plain,
% 31.97/20.84 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2185])).
% 31.97/20.84 tff(2187,plain,
% 31.97/20.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))))),
% 31.97/20.84 inference(quant_inst,[status(thm)],[])).
% 31.97/20.84 tff(2188,plain,
% 31.97/20.84 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.84 inference(unit_resolution,[status(thm)],[2187, 25])).
% 31.97/20.84 tff(2189,plain,
% 31.97/20.84 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2188])).
% 31.97/20.84 tff(2190,plain,
% 31.97/20.84 (multiply(identity, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(identity, multiply(sk_c1, inverse(sk_c6)))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[1184])).
% 31.97/20.84 tff(2191,plain,
% 31.97/20.84 (multiply(identity, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.97/20.84 inference(transitivity,[status(thm)],[2190, 1555, 1552, 1179, 1182])).
% 31.97/20.84 tff(2192,plain,
% 31.97/20.84 (multiply(sk_c3, multiply(identity, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2191])).
% 31.97/20.84 tff(2193,plain,
% 31.97/20.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, identity), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c3, multiply(identity, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))))),
% 31.97/20.84 inference(quant_inst,[status(thm)],[])).
% 31.97/20.84 tff(2194,plain,
% 31.97/20.84 (multiply(multiply(sk_c3, identity), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c3, multiply(identity, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.84 inference(unit_resolution,[status(thm)],[2193, 25])).
% 31.97/20.84 tff(2195,plain,
% 31.97/20.84 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c3, identity), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[1000])).
% 31.97/20.84 tff(2196,plain,
% 31.97/20.84 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.97/20.84 inference(transitivity,[status(thm)],[2195, 2194, 2192, 1525])).
% 31.97/20.84 tff(2197,plain,
% 31.97/20.84 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2196])).
% 31.97/20.84 tff(2198,plain,
% 31.97/20.84 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2197])).
% 31.97/20.84 tff(2199,plain,
% 31.97/20.84 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = sk_c7),
% 31.97/20.84 inference(transitivity,[status(thm)],[686, 973])).
% 31.97/20.84 tff(2200,plain,
% 31.97/20.84 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))) = multiply(sk_c7, multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2199, 1614])).
% 31.97/20.84 tff(2201,plain,
% 31.97/20.84 (multiply(sk_c7, multiply(multiply(sk_c3, inverse(sk_c6)), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2200])).
% 31.97/20.84 tff(2202,plain,
% 31.97/20.84 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))) = multiply(multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2177])).
% 31.97/20.84 tff(2203,plain,
% 31.97/20.84 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))) = multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))),
% 31.97/20.84 inference(transitivity,[status(thm)],[2202, 1610, 2201, 2198, 2189, 2186, 2184, 2182, 2174, 2171, 2168, 2166, 2158, 2155, 1161])).
% 31.97/20.84 tff(2204,plain,
% 31.97/20.84 (multiply(sk_c2, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2203])).
% 31.97/20.84 tff(2205,plain,
% 31.97/20.84 (multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))) = multiply(sk_c2, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2204])).
% 31.97/20.84 tff(2206,plain,
% 31.97/20.84 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c2, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2205])).
% 31.97/20.84 tff(2207,plain,
% 31.97/20.84 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c2, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2206])).
% 31.97/20.84 tff(2208,plain,
% 31.97/20.84 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c2), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c2, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))))),
% 31.97/20.84 inference(quant_inst,[status(thm)],[])).
% 31.97/20.84 tff(2209,plain,
% 31.97/20.84 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c2), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c2, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.84 inference(unit_resolution,[status(thm)],[2208, 25])).
% 31.97/20.84 tff(2210,plain,
% 31.97/20.84 (((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c6)) <=> ((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c6))),
% 31.97/20.84 inference(rewrite,[status(thm)],[])).
% 31.97/20.84 tff(2211,axiom,((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_this_24')).
% 31.97/20.84 tff(2212,plain,
% 31.97/20.84 ((inverse(sk_c2) = sk_c7) | (inverse(sk_c4) = sk_c6)),
% 31.97/20.84 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 31.97/20.84 tff(2213,plain,
% 31.97/20.84 (inverse(sk_c2) = sk_c7),
% 31.97/20.84 inference(unit_resolution,[status(thm)],[2212, 1920])).
% 31.97/20.84 tff(2214,plain,
% 31.97/20.84 (sk_c7 = inverse(sk_c2)),
% 31.97/20.84 inference(symmetry,[status(thm)],[2213])).
% 31.97/20.84 tff(2215,plain,
% 31.97/20.84 (multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)) = inverse(sk_c2)),
% 31.97/20.84 inference(transitivity,[status(thm)],[76, 635, 634, 1029, 596, 1024, 1023, 1022, 1021, 1020, 698, 686, 973, 2214])).
% 31.97/20.84 tff(2216,plain,
% 31.97/20.84 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2215])).
% 31.97/20.84 tff(2217,plain,
% 31.97/20.84 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c2) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.84 inference(transitivity,[status(thm)],[2216, 337, 834, 997, 494, 1033, 1031, 1026, 996, 993, 991, 989, 637])).
% 31.97/20.84 tff(2218,plain,
% 31.97/20.84 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c2), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(monotonicity,[status(thm)],[2217])).
% 31.97/20.84 tff(2219,plain,
% 31.97/20.84 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c2), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.84 inference(symmetry,[status(thm)],[2218])).
% 31.97/20.84 tff(2220,plain,
% 31.97/20.84 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.97/20.84 inference(transitivity,[status(thm)],[2202, 1610, 2201, 2198, 2189, 2186, 2219, 2209, 2207])).
% 31.97/20.84 tff(2221,plain,
% 31.97/20.84 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c2, multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2220, 2153])).
% 31.97/20.85 tff(2222,plain,
% 31.97/20.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.85 inference(quant_inst,[status(thm)],[])).
% 31.97/20.85 tff(2223,plain,
% 31.97/20.85 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.85 inference(unit_resolution,[status(thm)],[2222, 25])).
% 31.97/20.85 tff(2224,plain,
% 31.97/20.85 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6)))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[669, 2049])).
% 31.97/20.85 tff(2225,plain,
% 31.97/20.85 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2224])).
% 31.97/20.85 tff(2226,plain,
% 31.97/20.85 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2176])).
% 31.97/20.85 tff(2227,plain,
% 31.97/20.85 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), inverse(sk_c6)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2226])).
% 31.97/20.85 tff(2228,plain,
% 31.97/20.85 (multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.97/20.85 inference(transitivity,[status(thm)],[1183, 1180, 1507, 1506, 1505, 2227, 1548, 2225])).
% 31.97/20.85 tff(2229,plain,
% 31.97/20.85 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2228])).
% 31.97/20.85 tff(2230,plain,
% 31.97/20.85 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2229])).
% 31.97/20.85 tff(2231,plain,
% 31.97/20.85 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.97/20.85 inference(transitivity,[status(thm)],[2224, 1455, 2226, 1452, 1451, 1449, 1179, 1182])).
% 31.97/20.85 tff(2232,plain,
% 31.97/20.85 (multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))) = multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2231])).
% 31.97/20.85 tff(2233,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[1443, 2048])).
% 31.97/20.85 tff(2234,plain,
% 31.97/20.85 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))) = multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.85 inference(transitivity,[status(thm)],[1532, 2233, 1447, 2232])).
% 31.97/20.85 tff(2235,plain,
% 31.97/20.85 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))),
% 31.97/20.85 inference(transitivity,[status(thm)],[1538, 298, 76, 635, 634, 1029])).
% 31.97/20.85 tff(2236,plain,
% 31.97/20.85 (multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2235, 2234])).
% 31.97/20.85 tff(2237,plain,
% 31.97/20.85 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2236])).
% 31.97/20.85 tff(2238,plain,
% 31.97/20.85 (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, inverse(sk_c6)))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2233])).
% 31.97/20.85 tff(2239,plain,
% 31.97/20.85 (multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2232])).
% 31.97/20.85 tff(2240,plain,
% 31.97/20.85 (multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))) = multiply(sk_c3, inverse(sk_c6))),
% 31.97/20.85 inference(transitivity,[status(thm)],[2239, 1448, 2238, 1442, 2049])).
% 31.97/20.85 tff(2241,plain,
% 31.97/20.85 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, inverse(sk_c6)))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[1025, 2240])).
% 31.97/20.85 tff(2242,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, inverse(sk_c6))) = multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)), multiply(inverse(sk_c6), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2241])).
% 31.97/20.85 tff(2243,plain,
% 31.97/20.85 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), inverse(sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), inverse(sk_c6))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[992])).
% 31.97/20.85 tff(2244,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), inverse(sk_c6)) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), sk_c3), inverse(sk_c6))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2243])).
% 31.97/20.85 tff(2245,plain,
% 31.97/20.85 (multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.85 inference(transitivity,[status(thm)],[1510, 1509, 1504, 2244, 1530, 2242, 2237, 1545, 2230])).
% 31.97/20.85 tff(2246,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2245])).
% 31.97/20.85 tff(2247,plain,
% 31.97/20.85 (multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(multiply(sk_c7, sk_c3), multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2160])).
% 31.97/20.85 tff(2248,plain,
% 31.97/20.85 (multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))),
% 31.97/20.85 inference(transitivity,[status(thm)],[2247, 2161, 1555, 1552, 1179, 1182])).
% 31.97/20.85 tff(2249,plain,
% 31.97/20.85 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2248])).
% 31.97/20.85 tff(2250,plain,
% 31.97/20.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))))),
% 31.97/20.85 inference(quant_inst,[status(thm)],[])).
% 31.97/20.85 tff(2251,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))))))),
% 31.97/20.85 inference(unit_resolution,[status(thm)],[2250, 25])).
% 31.97/20.85 tff(2252,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))) = multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[1510])).
% 31.97/20.85 tff(2253,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.97/20.85 inference(transitivity,[status(thm)],[2252, 2251, 2249, 1525])).
% 31.97/20.85 tff(2254,plain,
% 31.97/20.85 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2253])).
% 31.97/20.85 tff(2255,plain,
% 31.97/20.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, sk_c7), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.85 inference(quant_inst,[status(thm)],[])).
% 31.97/20.85 tff(2256,plain,
% 31.97/20.85 (multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, sk_c7), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.85 inference(unit_resolution,[status(thm)],[2255, 25])).
% 31.97/20.85 tff(2257,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, sk_c7), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(sk_c3, sk_c7), multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2256])).
% 31.97/20.85 tff(2258,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[1205])).
% 31.97/20.85 tff(2259,plain,
% 31.97/20.85 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(sk_c3, sk_c7)),
% 31.97/20.85 inference(transitivity,[status(thm)],[638, 1966, 1679, 1965, 995, 1964, 1963, 1962, 495, 1010, 89, 49, 1214, 1213, 1212, 681])).
% 31.97/20.85 tff(2260,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(multiply(sk_c3, sk_c7), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2259, 2258])).
% 31.97/20.85 tff(2261,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2258])).
% 31.97/20.85 tff(2262,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[1032])).
% 31.97/20.85 tff(2263,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, inverse(sk_c6)))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2049])).
% 31.97/20.85 tff(2264,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))),
% 31.97/20.85 inference(transitivity,[status(thm)],[2263, 1531, 2243, 1503, 1526, 1525])).
% 31.97/20.85 tff(2265,plain,
% 31.97/20.85 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), sk_c7) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7)),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2264])).
% 31.97/20.85 tff(2266,plain,
% 31.97/20.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), sk_c7) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7)))),
% 31.97/20.85 inference(quant_inst,[status(thm)],[])).
% 31.97/20.85 tff(2267,plain,
% 31.97/20.85 (multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), sk_c7) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7))),
% 31.97/20.85 inference(unit_resolution,[status(thm)],[2266, 25])).
% 31.97/20.85 tff(2268,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7)) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), sk_c7)),
% 31.97/20.85 inference(symmetry,[status(thm)],[2267])).
% 31.97/20.85 tff(2269,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7)),
% 31.97/20.85 inference(monotonicity,[status(thm)],[1200])).
% 31.97/20.85 tff(2270,plain,
% 31.97/20.85 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6))) = multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[1804, 2269])).
% 31.97/20.85 tff(2271,plain,
% 31.97/20.85 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2269])).
% 31.97/20.85 tff(2272,plain,
% 31.97/20.85 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[1032, 2271])).
% 31.97/20.85 tff(2273,plain,
% 31.97/20.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7)))),
% 31.97/20.85 inference(quant_inst,[status(thm)],[])).
% 31.97/20.85 tff(2274,plain,
% 31.97/20.85 (multiply(multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7))),
% 31.97/20.85 inference(unit_resolution,[status(thm)],[2273, 25])).
% 31.97/20.85 tff(2275,plain,
% 31.97/20.85 (multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))) = multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2049])).
% 31.97/20.85 tff(2276,plain,
% 31.97/20.85 (multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.97/20.85 inference(symmetry,[status(thm)],[2275])).
% 31.97/20.85 tff(2277,plain,
% 31.97/20.85 (inverse(sk_c6) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))))),
% 31.97/20.85 inference(transitivity,[status(thm)],[1101, 2046, 1096, 2276])).
% 31.97/20.85 tff(2278,plain,
% 31.97/20.85 (multiply(inverse(sk_c6), sk_c7) = multiply(multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), sk_c7)),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2277])).
% 31.97/20.85 tff(2279,plain,
% 31.97/20.85 (multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(inverse(sk_c6), sk_c7)),
% 31.97/20.85 inference(monotonicity,[status(thm)],[1652])).
% 31.97/20.85 tff(2280,plain,
% 31.97/20.85 (multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))),
% 31.97/20.85 inference(transitivity,[status(thm)],[2279, 2278, 2274, 2272, 2270, 2268, 2265, 2262, 2261])).
% 31.97/20.85 tff(2281,plain,
% 31.97/20.85 (multiply(multiply(sk_c1, multiply(identity, sk_c1)), multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[1935, 2280])).
% 31.97/20.85 tff(2282,plain,
% 31.97/20.85 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c7) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7)),
% 31.97/20.85 inference(monotonicity,[status(thm)],[1809])).
% 31.97/20.85 tff(2283,plain,
% 31.97/20.85 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c7) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)),
% 31.97/20.85 inference(transitivity,[status(thm)],[2282, 267, 1821, 272, 274, 1220, 659, 656])).
% 31.97/20.85 tff(2284,plain,
% 31.97/20.85 (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(sk_c3, sk_c1))),
% 31.97/20.85 inference(monotonicity,[status(thm)],[2283, 1586])).
% 31.97/20.85 tff(2285,plain,
% 31.97/20.85 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))))),
% 31.97/20.85 inference(quant_inst,[status(thm)],[])).
% 31.97/20.85 tff(2286,plain,
% 31.97/20.85 (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))),
% 31.97/20.86 inference(unit_resolution,[status(thm)],[2285, 25])).
% 31.97/20.86 tff(2287,plain,
% 31.97/20.86 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))) = multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c7), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.97/20.86 inference(symmetry,[status(thm)],[2286])).
% 31.97/20.86 tff(2288,plain,
% 31.97/20.86 (multiply(sk_c7, multiply(sk_c3, sk_c1)) = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.97/20.86 inference(symmetry,[status(thm)],[1587])).
% 31.97/20.86 tff(2289,plain,
% 31.97/20.86 (sk_c1 = multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))),
% 31.97/20.86 inference(transitivity,[status(thm)],[60, 1036, 705, 2288])).
% 31.97/20.86 tff(2290,plain,
% 31.97/20.86 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c1) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1)))))),
% 31.97/20.86 inference(monotonicity,[status(thm)],[2289])).
% 31.97/20.86 tff(2291,plain,
% 31.97/20.86 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c1) = multiply(sk_c1, multiply(identity, sk_c1))),
% 31.97/20.86 inference(transitivity,[status(thm)],[2290, 2287, 2284, 1308, 1971, 308])).
% 31.97/20.86 tff(2292,plain,
% 31.97/20.86 (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c1), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(sk_c1, multiply(identity, sk_c1)), multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.86 inference(monotonicity,[status(thm)],[2291, 1028])).
% 31.97/20.86 tff(2293,plain,
% 31.97/20.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c1), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c1, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))))),
% 31.97/20.86 inference(quant_inst,[status(thm)],[])).
% 31.97/20.86 tff(2294,plain,
% 31.97/20.86 (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c1), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c1, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.97/20.86 inference(unit_resolution,[status(thm)],[2293, 25])).
% 31.97/20.86 tff(2295,plain,
% 31.97/20.86 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c1, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c1), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.86 inference(symmetry,[status(thm)],[2294])).
% 31.97/20.86 tff(2296,plain,
% 31.97/20.86 (multiply(sk_c1, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))) = multiply(sk_c1, multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.86 inference(monotonicity,[status(thm)],[1028])).
% 31.97/20.86 tff(2297,plain,
% 31.97/20.86 (multiply(sk_c1, multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c1, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.86 inference(symmetry,[status(thm)],[2296])).
% 31.97/20.86 tff(2298,plain,
% 31.97/20.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c1, multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.86 inference(quant_inst,[status(thm)],[])).
% 31.97/20.86 tff(2299,plain,
% 31.97/20.86 (multiply(multiply(sk_c1, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c1, multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.86 inference(unit_resolution,[status(thm)],[2298, 25])).
% 31.97/20.86 tff(2300,plain,
% 31.97/20.86 (multiply(multiply(sk_c1, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.86 inference(monotonicity,[status(thm)],[1740])).
% 31.97/20.86 tff(2301,plain,
% 31.97/20.86 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c1, inverse(sk_c6)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.86 inference(symmetry,[status(thm)],[2300])).
% 31.97/20.86 tff(2302,plain,
% 31.97/20.86 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(sk_c1, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 31.97/20.86 inference(transitivity,[status(thm)],[638, 1966, 1679, 1965, 995, 1964, 1963, 1664, 1661, 2141, 2301, 2299, 2297])).
% 31.97/20.86 tff(2303,plain,
% 31.97/20.86 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c1, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity)))))),
% 31.97/20.86 inference(monotonicity,[status(thm)],[2302])).
% 31.97/20.86 tff(2304,plain,
% 31.97/20.86 (multiply(multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.86 inference(monotonicity,[status(thm)],[2178])).
% 31.97/20.86 tff(2305,plain,
% 31.97/20.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.86 inference(quant_inst,[status(thm)],[])).
% 31.97/20.86 tff(2306,plain,
% 31.97/20.86 (multiply(multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.86 inference(unit_resolution,[status(thm)],[2305, 25])).
% 31.97/20.86 tff(2307,plain,
% 31.97/20.86 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.86 inference(symmetry,[status(thm)],[2306])).
% 31.97/20.86 tff(2308,plain,
% 31.97/20.86 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.86 inference(monotonicity,[status(thm)],[2258])).
% 31.97/20.86 tff(2309,plain,
% 31.97/20.86 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 31.97/20.86 inference(transitivity,[status(thm)],[2308, 2307, 2304, 2140, 1846, 1663, 1031, 1026, 996, 993, 991, 989, 637])).
% 31.97/20.86 tff(2310,plain,
% 31.97/20.86 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))))),
% 31.97/20.86 inference(monotonicity,[status(thm)],[2309])).
% 31.97/20.86 tff(2311,plain,
% 31.97/20.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c7), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))))),
% 31.97/20.86 inference(quant_inst,[status(thm)],[])).
% 31.97/20.86 tff(2312,plain,
% 31.97/20.86 (multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c7), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))))),
% 31.97/20.86 inference(unit_resolution,[status(thm)],[2311, 25])).
% 31.97/20.86 tff(2313,plain,
% 31.97/20.86 (multiply(multiply(multiply(sk_c6, inverse(sk_c6)), sk_c1), sk_c7) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c7)),
% 31.97/20.86 inference(symmetry,[status(thm)],[2282])).
% 31.97/20.86 tff(2314,plain,
% 31.97/20.86 (multiply(multiply(sk_c6, inverse(sk_c6)), sk_c6) = multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c1, sk_c7))),
% 31.97/20.86 inference(symmetry,[status(thm)],[1821])).
% 31.97/20.86 tff(2315,plain,
% 31.97/20.86 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)) = multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c7)),
% 31.97/20.86 inference(transitivity,[status(thm)],[668, 665, 1075, 658, 1221, 275, 273, 2314, 268, 2313])).
% 31.97/20.86 tff(2316,plain,
% 31.97/20.86 (multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(multiply(multiply(sk_c6, inverse(sk_c6)), multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, sk_c1))))), sk_c7), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))),
% 31.97/20.86 inference(monotonicity,[status(thm)],[2315, 2261])).
% 31.97/20.86 tff(2317,plain,
% 31.97/20.86 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))),
% 31.97/20.86 inference(transitivity,[status(thm)],[1081, 667])).
% 31.97/20.86 tff(2318,plain,
% 31.97/20.86 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))),
% 31.97/20.86 inference(monotonicity,[status(thm)],[2317, 2258])).
% 31.97/20.86 tff(2319,plain,
% 31.97/20.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))))),
% 31.97/20.86 inference(quant_inst,[status(thm)],[])).
% 31.97/20.86 tff(2320,plain,
% 31.97/20.86 (multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))))),
% 31.97/20.86 inference(unit_resolution,[status(thm)],[2319, 25])).
% 31.97/20.86 tff(2321,plain,
% 31.97/20.86 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))) = multiply(multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7), multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))),
% 31.97/20.86 inference(symmetry,[status(thm)],[2320])).
% 31.97/20.86 tff(2322,plain,
% 31.97/20.86 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))),
% 31.97/20.86 inference(symmetry,[status(thm)],[2308])).
% 31.97/20.86 tff(2323,plain,
% 31.97/20.86 (multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c7, multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6)))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 31.97/20.86 inference(symmetry,[status(thm)],[2304])).
% 31.97/20.86 tff(2324,plain,
% 31.97/20.86 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)))),
% 31.97/20.86 inference(transitivity,[status(thm)],[638, 1966, 1679, 1965, 995, 1964, 1963, 1664, 1661, 2141, 2323, 2306, 2322])).
% 31.97/20.86 tff(2325,plain,
% 31.97/20.86 (multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))),
% 31.97/20.86 inference(transitivity,[status(thm)],[699, 696, 689, 687, 601, 599, 597, 684, 661, 660, 77])).
% 31.97/20.86 tff(2326,plain,
% 31.97/20.86 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(sk_c7, multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))))),
% 31.97/20.86 inference(monotonicity,[status(thm)],[2325, 2324])).
% 31.97/20.86 tff(2327,plain,
% 31.97/20.86 (inverse(sk_c3) = sk_c6),
% 31.97/20.86 inference(transitivity,[status(thm)],[403, 974, 685, 699, 696, 689, 687, 601, 599, 597, 684, 632, 631, 986, 2326, 2321, 2318, 2316, 2312, 2310, 2303, 2295, 2292, 2281, 2260, 2257, 2254, 2246, 2223, 2221, 2152, 2150, 984, 982, 981, 979, 977, 629])).
% 31.97/20.86 tff(2328,plain,
% 31.97/20.86 (multiply(identity, sk_c3) = multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3)),
% 31.97/20.86 inference(monotonicity,[status(thm)],[678])).
% 31.97/20.86 tff(2329,plain,
% 31.97/20.86 (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3) = multiply(identity, sk_c3)),
% 31.97/20.86 inference(symmetry,[status(thm)],[2328])).
% 31.97/20.86 tff(2330,plain,
% 31.97/20.86 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)))),
% 31.97/20.86 inference(quant_inst,[status(thm)],[])).
% 31.97/20.86 tff(2331,plain,
% 31.97/20.86 (multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3))),
% 32.06/20.86 inference(unit_resolution,[status(thm)],[2330, 25])).
% 32.06/20.86 tff(2332,plain,
% 32.06/20.86 (multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)) = multiply(multiply(inverse(sk_c6), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))), sk_c3)),
% 32.06/20.86 inference(symmetry,[status(thm)],[2331])).
% 32.06/20.86 tff(2333,plain,
% 32.06/20.86 (multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3)) = multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 32.06/20.86 inference(monotonicity,[status(thm)],[1702])).
% 32.06/20.86 tff(2334,plain,
% 32.06/20.86 (multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(inverse(sk_c6), multiply(multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)), sk_c3))),
% 32.06/20.86 inference(symmetry,[status(thm)],[2333])).
% 32.06/20.86 tff(2335,plain,
% 32.06/20.86 (multiply(inverse(sk_c6), sk_c7) = multiply(inverse(sk_c6), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 32.06/20.86 inference(symmetry,[status(thm)],[2279])).
% 32.06/20.86 tff(2336,plain,
% 32.06/20.86 (multiply(multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), sk_c7) = multiply(inverse(sk_c6), sk_c7)),
% 32.06/20.86 inference(symmetry,[status(thm)],[2278])).
% 32.06/20.86 tff(2337,plain,
% 32.06/20.86 (multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7)) = multiply(multiply(sk_c7, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), sk_c7)),
% 32.06/20.86 inference(symmetry,[status(thm)],[2274])).
% 32.06/20.86 tff(2338,plain,
% 32.06/20.86 (multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6))) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7))),
% 32.06/20.86 inference(symmetry,[status(thm)],[2272])).
% 32.06/20.86 tff(2339,plain,
% 32.06/20.86 (multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), sk_c7)) = multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6)))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)))),
% 32.06/20.86 inference(symmetry,[status(thm)],[2270])).
% 32.06/20.86 tff(2340,plain,
% 32.06/20.86 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7) = multiply(multiply(multiply(sk_c3, multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, inverse(sk_c6))))), sk_c7)),
% 32.06/20.86 inference(symmetry,[status(thm)],[2265])).
% 32.06/20.86 tff(2341,plain,
% 32.06/20.86 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), sk_c7)),
% 32.06/20.86 inference(symmetry,[status(thm)],[2262])).
% 32.06/20.86 tff(2342,plain,
% 32.06/20.86 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)) = sk_c3),
% 32.06/20.86 inference(transitivity,[status(thm)],[2258, 2341, 2340, 2267, 2339, 2338, 2337, 2336, 2335, 2334, 2332, 2329, 537])).
% 32.06/20.86 tff(2343,plain,
% 32.06/20.86 (inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = inverse(sk_c3)),
% 32.06/20.86 inference(monotonicity,[status(thm)],[2342])).
% 32.06/20.86 tff(2344,plain,
% 32.06/20.86 ((inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6) <=> (inverse(sk_c3) = sk_c6)),
% 32.06/20.87 inference(monotonicity,[status(thm)],[2343])).
% 32.06/20.87 tff(2345,plain,
% 32.06/20.87 ((~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) <=> (~(inverse(sk_c3) = sk_c6))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[2344])).
% 32.06/20.87 tff(2346,plain,
% 32.06/20.87 (multiply(sk_c1, sk_c7) = multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))),
% 32.06/20.87 inference(transitivity,[status(thm)],[650, 648, 645, 1081, 667])).
% 32.06/20.87 tff(2347,plain,
% 32.06/20.87 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[2346])).
% 32.06/20.87 tff(2348,plain,
% 32.06/20.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), sk_c1), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c1, sk_c7)))),
% 32.06/20.87 inference(quant_inst,[status(thm)],[])).
% 32.06/20.87 tff(2349,plain,
% 32.06/20.87 (multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), sk_c1), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c1, sk_c7))),
% 32.06/20.87 inference(unit_resolution,[status(thm)],[2348, 25])).
% 32.06/20.87 tff(2350,plain,
% 32.06/20.87 (multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), sk_c1) = multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c1)),
% 32.06/20.87 inference(monotonicity,[status(thm)],[638])).
% 32.06/20.87 tff(2351,plain,
% 32.06/20.87 (multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c1) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), sk_c1)),
% 32.06/20.87 inference(symmetry,[status(thm)],[2350])).
% 32.06/20.87 tff(2352,plain,
% 32.06/20.87 (multiply(sk_c3, multiply(sk_c1, sk_c1)) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), sk_c1)),
% 32.06/20.87 inference(transitivity,[status(thm)],[1052, 1050, 1046, 2351])).
% 32.06/20.87 tff(2353,plain,
% 32.06/20.87 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))) = multiply(multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), sk_c1), sk_c7)),
% 32.06/20.87 inference(monotonicity,[status(thm)],[2352, 1652])).
% 32.06/20.87 tff(2354,plain,
% 32.06/20.87 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[1032])).
% 32.06/20.87 tff(2355,plain,
% 32.06/20.87 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6),
% 32.06/20.87 inference(transitivity,[status(thm)],[2354, 2353, 2349, 2347, 2116, 1872, 2129, 1871, 1751, 1754, 1756, 1870, 1760, 981, 979, 977, 629])).
% 32.06/20.87 tff(2356,plain,
% 32.06/20.87 (multiply(sk_c6, multiply(sk_c6, multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))) = multiply(multiply(sk_c6, sk_c6), multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, identity))))),
% 32.06/20.87 inference(symmetry,[status(thm)],[1132])).
% 32.06/20.87 tff(2357,plain,
% 32.06/20.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))))),
% 32.06/20.87 inference(quant_inst,[status(thm)],[])).
% 32.06/20.87 tff(2358,plain,
% 32.06/20.87 (multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))))),
% 32.06/20.87 inference(unit_resolution,[status(thm)],[2357, 25])).
% 32.06/20.87 tff(2359,plain,
% 32.06/20.87 (multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))) = multiply(multiply(sk_c6, sk_c3), multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 32.06/20.87 inference(symmetry,[status(thm)],[2358])).
% 32.06/20.87 tff(2360,plain,
% 32.06/20.87 (multiply(sk_c3, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c6, sk_c3)))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[561])).
% 32.06/20.87 tff(2361,plain,
% 32.06/20.87 (multiply(sk_c3, multiply(sk_c7, multiply(sk_c6, sk_c3))) = multiply(sk_c3, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 32.06/20.87 inference(symmetry,[status(thm)],[2360])).
% 32.06/20.87 tff(2362,plain,
% 32.06/20.87 (multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)) = multiply(sk_c3, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6)))),
% 32.06/20.87 inference(transitivity,[status(thm)],[596, 2361])).
% 32.06/20.87 tff(2363,plain,
% 32.06/20.87 (multiply(sk_c6, multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(sk_c3, multiply(sk_c6, multiply(inverse(sk_c6), sk_c6))))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[2362])).
% 32.06/20.87 tff(2364,plain,
% 32.06/20.87 (multiply(multiply(sk_c1, sk_c7), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))) = multiply(sk_c6, multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[629])).
% 32.06/20.87 tff(2365,plain,
% 32.06/20.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))) = multiply(sk_c1, multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)))))),
% 32.06/20.87 inference(quant_inst,[status(thm)],[])).
% 32.06/20.87 tff(2366,plain,
% 32.06/20.87 (multiply(multiply(sk_c1, sk_c7), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))) = multiply(sk_c1, multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))))),
% 32.06/20.87 inference(unit_resolution,[status(thm)],[2365, 25])).
% 32.06/20.87 tff(2367,plain,
% 32.06/20.87 (multiply(sk_c1, multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)))) = multiply(multiply(sk_c1, sk_c7), multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)))),
% 32.06/20.87 inference(symmetry,[status(thm)],[2366])).
% 32.06/20.87 tff(2368,plain,
% 32.06/20.87 (multiply(multiply(sk_c7, sk_c3), sk_c7) = multiply(identity, sk_c7)),
% 32.06/20.87 inference(monotonicity,[status(thm)],[445])).
% 32.06/20.87 tff(2369,plain,
% 32.06/20.87 (multiply(sk_c7, multiply(sk_c3, sk_c7)) = sk_c7),
% 32.06/20.87 inference(transitivity,[status(thm)],[412, 2368, 215])).
% 32.06/20.87 tff(2370,plain,
% 32.06/20.87 (multiply(multiply(sk_c7, multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3)) = multiply(sk_c7, multiply(sk_c6, sk_c3))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[2369])).
% 32.06/20.87 tff(2371,plain,
% 32.06/20.87 (multiply(sk_c7, multiply(sk_c6, sk_c3)) = multiply(multiply(sk_c7, multiply(sk_c3, sk_c7)), multiply(sk_c6, sk_c3))),
% 32.06/20.87 inference(symmetry,[status(thm)],[2370])).
% 32.06/20.87 tff(2372,plain,
% 32.06/20.87 (sk_c6 = multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3)))),
% 32.06/20.87 inference(transitivity,[status(thm)],[651, 650, 648, 645, 1075, 658, 1221, 560, 558, 555, 552, 2371, 579])).
% 32.06/20.87 tff(2373,plain,
% 32.06/20.87 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = multiply(sk_c1, multiply(sk_c7, multiply(multiply(sk_c3, sk_c7), multiply(sk_c6, sk_c3))))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[1053, 2372])).
% 32.06/20.87 tff(2374,plain,
% 32.06/20.87 (multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7),
% 32.06/20.87 inference(transitivity,[status(thm)],[2373, 2367, 2364, 2363, 2359, 2070, 2066, 2065, 2356, 2086, 1141, 2088, 921, 924, 926, 2093, 1833, 2098, 811, 2096, 2076, 2060, 2057, 2055, 2033, 1997, 1994, 1968, 1945, 1942, 1941, 1940, 1937, 987, 663, 662, 1029, 596, 1024, 1023, 1022, 1021, 1020, 698, 686, 973])).
% 32.06/20.87 tff(2375,plain,
% 32.06/20.87 (inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7),
% 32.06/20.87 inference(transitivity,[status(thm)],[1054, 1924])).
% 32.06/20.87 tff(2376,plain,
% 32.06/20.87 (multiply(sk_c3, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c6)) = multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[1186])).
% 32.06/20.87 tff(2377,plain,
% 32.06/20.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), sk_c6) = multiply(sk_c3, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c6)))),
% 32.06/20.87 inference(quant_inst,[status(thm)],[])).
% 32.06/20.87 tff(2378,plain,
% 32.06/20.87 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), sk_c6) = multiply(sk_c3, multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), sk_c6))),
% 32.06/20.87 inference(unit_resolution,[status(thm)],[2377, 25])).
% 32.06/20.87 tff(2379,plain,
% 32.06/20.87 (multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6)))), sk_c6)),
% 32.06/20.87 inference(monotonicity,[status(thm)],[1510, 2082])).
% 32.06/20.87 tff(2380,plain,
% 32.06/20.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7)))),
% 32.06/20.87 inference(quant_inst,[status(thm)],[])).
% 32.06/20.87 tff(2381,plain,
% 32.06/20.87 (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)), sk_c7))),
% 32.06/20.87 inference(unit_resolution,[status(thm)],[2380, 25])).
% 32.06/20.87 tff(2382,plain,
% 32.06/20.87 (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7) = multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6)))))),
% 32.06/20.87 inference(transitivity,[status(thm)],[2381, 2379, 2378, 2376, 637])).
% 32.06/20.87 tff(2383,plain,
% 32.06/20.87 (multiply(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(sk_c3, multiply(sk_c7, multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))))), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[2382])).
% 32.06/20.87 tff(2384,plain,
% 32.06/20.87 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))))),
% 32.06/20.87 inference(quant_inst,[status(thm)],[])).
% 32.06/20.87 tff(2385,plain,
% 32.06/20.87 (multiply(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))) = multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))))),
% 32.06/20.87 inference(unit_resolution,[status(thm)],[2384, 25])).
% 32.06/20.87 tff(2386,plain,
% 32.06/20.87 (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))) = multiply(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7), multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 32.06/20.87 inference(symmetry,[status(thm)],[2385])).
% 32.06/20.87 tff(2387,plain,
% 32.06/20.87 (sk_c5 = multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7)))),
% 32.06/20.87 inference(transitivity,[status(thm)],[330, 1815])).
% 32.06/20.87 tff(2388,plain,
% 32.06/20.87 (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(multiply(sk_c3, multiply(sk_c1, multiply(inverse(sk_c6), sk_c6))), sk_c7))))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[2258, 2387])).
% 32.06/20.87 tff(2389,plain,
% 32.06/20.87 (multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6),
% 32.06/20.87 inference(transitivity,[status(thm)],[2388, 2386, 2383, 2116, 1872, 2129, 1871, 1751, 1754, 1756, 1870, 1760, 981, 979, 977, 629])).
% 32.06/20.87 tff(2390,plain,
% 32.06/20.87 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c5)) | (~(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6)) | (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c5)) | (~(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6)) | (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6)))),
% 32.06/20.87 inference(rewrite,[status(thm)],[])).
% 32.06/20.87 tff(2391,plain,
% 32.06/20.87 (((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6)) | (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c5)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c5)) | (~(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6)) | (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6)))),
% 32.06/20.87 inference(rewrite,[status(thm)],[])).
% 32.06/20.87 tff(2392,plain,
% 32.06/20.87 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6)) | (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c5)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c5)) | (~(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6)) | (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6))))),
% 32.06/20.87 inference(monotonicity,[status(thm)],[2391])).
% 32.06/20.87 tff(2393,plain,
% 32.06/20.87 (((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6)) | (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c5)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6)))) <=> ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c5)) | (~(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6)) | (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6)))),
% 32.06/20.88 inference(transitivity,[status(thm)],[2392, 2390])).
% 32.06/20.88 tff(2394,plain,
% 32.06/20.88 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6)) | (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c5)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6)))),
% 32.06/20.88 inference(quant_inst,[status(thm)],[])).
% 32.06/20.88 tff(2395,plain,
% 32.06/20.88 ((~![X4: $i, X3: $i, X2: $i, X1: $i] : ((~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(multiply(X2, sk_c5) = sk_c6)) | (~(inverse(X2) = sk_c6)) | (~(multiply(X1, sk_c6) = sk_c7)) | (~(inverse(X1) = sk_c7)) | (~(inverse(X4) = sk_c7)) | (~(multiply(X4, sk_c7) = sk_c5)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c6)))) | (~(multiply(sk_c7, sk_c6) = sk_c5)) | (~(multiply(sk_c6, sk_c7) = sk_c5)) | (~(inverse(sk_c2) = sk_c7)) | (~(multiply(sk_c2, sk_c7) = sk_c5)) | (~(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6)) | (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6))),
% 32.06/20.88 inference(modus_ponens,[status(thm)],[2394, 2393])).
% 32.06/20.88 tff(2396,plain,
% 32.06/20.88 ((~(multiply(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity)), sk_c5) = sk_c6)) | (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)) | (~(inverse(multiply(sk_c3, multiply(sk_c1, sk_c1))) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c6) = sk_c7)) | (~(multiply(multiply(sk_c3, multiply(sk_c1, sk_c1)), sk_c7) = sk_c6))),
% 32.08/20.92 inference(unit_resolution,[status(thm)],[2395, 213, 111, 2104, 2213, 394])).
% 32.08/20.92 tff(2397,plain,
% 32.08/20.92 (~(inverse(multiply(multiply(sk_c3, multiply(inverse(sk_c6), multiply(sk_c6, multiply(sk_c1, inverse(sk_c6))))), multiply(multiply(multiply(multiply(inverse(sk_c6), multiply(multiply(sk_c6, sk_c1), inverse(sk_c6))), multiply(multiply(inverse(sk_c6), sk_c7), sk_c6)), sk_c1), identity))) = sk_c6)),
% 32.08/20.92 inference(unit_resolution,[status(thm)],[2396, 2389, 2375, 2374, 2355])).
% 32.08/20.92 tff(2398,plain,
% 32.08/20.92 (~(inverse(sk_c3) = sk_c6)),
% 32.08/20.92 inference(modus_ponens,[status(thm)],[2397, 2345])).
% 32.08/20.92 tff(2399,plain,
% 32.08/20.92 ($false),
% 32.08/20.92 inference(unit_resolution,[status(thm)],[2398, 2327])).
% 32.08/20.92 % SZS output end Proof
%------------------------------------------------------------------------------