Z3---4.15.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : GRP703+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jun 21 05:08:30 AM UTC 2025

% Result   : Theorem 22.04s 22.28s
% Output   : Proof 22.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : GRP703+1 : TPTP v9.0.0. Released v4.0.0.
% 0.09/0.13  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Jun 19 16:56:48 EDT 2025
% 0.13/0.35  % CPUTime    : 
% 22.04/22.28  % SZS status Theorem
% 22.04/22.28  % SZS output start Proof
% 22.04/22.28  tff(mult_type, type, (
% 22.04/22.28     mult: ( $i * $i ) > $i)).
% 22.04/22.28  tff(tptp_fun_X3_0_type, type, (
% 22.04/22.28     tptp_fun_X3_0: $i)).
% 22.04/22.28  tff(op_e_type, type, (
% 22.04/22.28     op_e: $i)).
% 22.04/22.28  tff(tptp_fun_X2_1_type, type, (
% 22.04/22.28     tptp_fun_X2_1: $i)).
% 22.04/22.28  tff(rd_type, type, (
% 22.04/22.28     rd: ( $i * $i ) > $i)).
% 22.04/22.28  tff(op_c_type, type, (
% 22.04/22.28     op_c: $i)).
% 22.04/22.28  tff(ld_type, type, (
% 22.04/22.28     ld: ( $i * $i ) > $i)).
% 22.04/22.28  tff(op_d_type, type, (
% 22.04/22.28     op_d: $i)).
% 22.04/22.28  tff(op_f_type, type, (
% 22.04/22.28     op_f: $i)).
% 22.04/22.28  tff(1,plain,
% 22.04/22.28      (^[B: $i, A: $i] : refl((rd(mult(A, B), B) = A) <=> (rd(mult(A, B), B) = A))),
% 22.04/22.28      inference(bind,[status(th)],[])).
% 22.04/22.28  tff(2,plain,
% 22.04/22.28      (![B: $i, A: $i] : (rd(mult(A, B), B) = A) <=> ![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 22.04/22.28      inference(quant_intro,[status(thm)],[1])).
% 22.04/22.28  tff(3,plain,
% 22.04/22.28      (![B: $i, A: $i] : (rd(mult(A, B), B) = A) <=> ![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 22.04/22.28      inference(rewrite,[status(thm)],[])).
% 22.04/22.28  tff(4,axiom,(![B: $i, A: $i] : (rd(mult(A, B), B) = A)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f04')).
% 22.04/22.28  tff(5,plain,
% 22.04/22.28      (![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[4, 3])).
% 22.04/22.28  tff(6,plain,(
% 22.04/22.28      ![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 22.04/22.28      inference(skolemize,[status(sab)],[5])).
% 22.04/22.28  tff(7,plain,
% 22.04/22.28      (![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[6, 2])).
% 22.04/22.28  tff(8,plain,
% 22.04/22.28      ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, op_c)), mult(op_c, op_c)) = mult(mult(X2!1, op_e), X3!0))),
% 22.04/22.28      inference(quant_inst,[status(thm)],[])).
% 22.04/22.28  tff(9,plain,
% 22.04/22.28      (rd(mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, op_c)), mult(op_c, op_c)) = mult(mult(X2!1, op_e), X3!0)),
% 22.04/22.28      inference(unit_resolution,[status(thm)],[8, 7])).
% 22.04/22.28  tff(10,plain,
% 22.04/22.28      (^[B: $i, A: $i] : refl((mult(A, mult(B, op_c)) = mult(mult(A, B), op_c)) <=> (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c)))),
% 22.04/22.28      inference(bind,[status(th)],[])).
% 22.04/22.28  tff(11,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c)) <=> ![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))),
% 22.04/22.28      inference(quant_intro,[status(thm)],[10])).
% 22.04/22.28  tff(12,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c)) <=> ![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))),
% 22.04/22.28      inference(rewrite,[status(thm)],[])).
% 22.04/22.28  tff(13,axiom,(![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f09')).
% 22.04/22.28  tff(14,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[13, 12])).
% 22.04/22.28  tff(15,plain,(
% 22.04/22.28      ![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))),
% 22.04/22.28      inference(skolemize,[status(sab)],[14])).
% 22.04/22.28  tff(16,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[15, 11])).
% 22.04/22.28  tff(17,plain,
% 22.04/22.28      ((~![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))) | (mult(mult(X2!1, mult(op_e, X3!0)), mult(op_c, op_c)) = mult(mult(mult(X2!1, mult(op_e, X3!0)), op_c), op_c))),
% 22.04/22.28      inference(quant_inst,[status(thm)],[])).
% 22.04/22.28  tff(18,plain,
% 22.04/22.28      (mult(mult(X2!1, mult(op_e, X3!0)), mult(op_c, op_c)) = mult(mult(mult(X2!1, mult(op_e, X3!0)), op_c), op_c)),
% 22.04/22.28      inference(unit_resolution,[status(thm)],[17, 16])).
% 22.04/22.28  tff(19,plain,
% 22.04/22.28      (mult(mult(mult(X2!1, mult(op_e, X3!0)), op_c), op_c) = mult(mult(X2!1, mult(op_e, X3!0)), mult(op_c, op_c))),
% 22.04/22.28      inference(symmetry,[status(thm)],[18])).
% 22.04/22.28  tff(20,plain,
% 22.04/22.28      (^[B: $i, A: $i] : refl((mult(op_c, mult(A, B)) = mult(mult(op_c, A), B)) <=> (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B)))),
% 22.04/22.28      inference(bind,[status(th)],[])).
% 22.04/22.28  tff(21,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B)) <=> ![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))),
% 22.04/22.28      inference(quant_intro,[status(thm)],[20])).
% 22.04/22.28  tff(22,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B)) <=> ![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))),
% 22.04/22.28      inference(rewrite,[status(thm)],[])).
% 22.04/22.28  tff(23,axiom,(![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f08')).
% 22.04/22.28  tff(24,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[23, 22])).
% 22.04/22.28  tff(25,plain,(
% 22.04/22.28      ![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))),
% 22.04/22.28      inference(skolemize,[status(sab)],[24])).
% 22.04/22.28  tff(26,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[25, 21])).
% 22.04/22.28  tff(27,plain,
% 22.04/22.28      ((~![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))) | (mult(op_c, mult(X2!1, mult(op_e, X3!0))) = mult(mult(op_c, X2!1), mult(op_e, X3!0)))),
% 22.04/22.28      inference(quant_inst,[status(thm)],[])).
% 22.04/22.28  tff(28,plain,
% 22.04/22.28      (mult(op_c, mult(X2!1, mult(op_e, X3!0))) = mult(mult(op_c, X2!1), mult(op_e, X3!0))),
% 22.04/22.28      inference(unit_resolution,[status(thm)],[27, 26])).
% 22.04/22.28  tff(29,plain,
% 22.04/22.28      (mult(mult(op_c, X2!1), mult(op_e, X3!0)) = mult(op_c, mult(X2!1, mult(op_e, X3!0)))),
% 22.04/22.28      inference(symmetry,[status(thm)],[28])).
% 22.04/22.28  tff(30,plain,
% 22.04/22.28      (^[B: $i, A: $i] : refl((mult(A, ld(A, B)) = B) <=> (mult(A, ld(A, B)) = B))),
% 22.04/22.28      inference(bind,[status(th)],[])).
% 22.04/22.28  tff(31,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, ld(A, B)) = B) <=> ![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 22.04/22.28      inference(quant_intro,[status(thm)],[30])).
% 22.04/22.28  tff(32,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, ld(A, B)) = B) <=> ![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 22.04/22.28      inference(rewrite,[status(thm)],[])).
% 22.04/22.28  tff(33,axiom,(![B: $i, A: $i] : (mult(A, ld(A, B)) = B)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f01')).
% 22.04/22.28  tff(34,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[33, 32])).
% 22.04/22.28  tff(35,plain,(
% 22.04/22.28      ![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 22.04/22.28      inference(skolemize,[status(sab)],[34])).
% 22.04/22.28  tff(36,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[35, 31])).
% 22.04/22.28  tff(37,plain,
% 22.04/22.28      ((~![B: $i, A: $i] : (mult(A, ld(A, B)) = B)) | (mult(mult(X2!1, mult(op_e, X3!0)), ld(mult(X2!1, mult(op_e, X3!0)), mult(mult(op_c, X2!1), mult(op_e, X3!0)))) = mult(mult(op_c, X2!1), mult(op_e, X3!0)))),
% 22.04/22.28      inference(quant_inst,[status(thm)],[])).
% 22.04/22.28  tff(38,plain,
% 22.04/22.28      (mult(mult(X2!1, mult(op_e, X3!0)), ld(mult(X2!1, mult(op_e, X3!0)), mult(mult(op_c, X2!1), mult(op_e, X3!0)))) = mult(mult(op_c, X2!1), mult(op_e, X3!0))),
% 22.04/22.28      inference(unit_resolution,[status(thm)],[37, 36])).
% 22.04/22.28  tff(39,plain,
% 22.04/22.28      (ld(mult(X2!1, mult(op_e, X3!0)), mult(mult(op_c, X2!1), mult(op_e, X3!0))) = ld(mult(X2!1, mult(op_e, X3!0)), mult(op_c, mult(X2!1, mult(op_e, X3!0))))),
% 22.04/22.28      inference(monotonicity,[status(thm)],[29])).
% 22.04/22.28  tff(40,plain,
% 22.04/22.28      (ld(mult(X2!1, mult(op_e, X3!0)), mult(op_c, mult(X2!1, mult(op_e, X3!0)))) = ld(mult(X2!1, mult(op_e, X3!0)), mult(mult(op_c, X2!1), mult(op_e, X3!0)))),
% 22.04/22.28      inference(symmetry,[status(thm)],[39])).
% 22.04/22.28  tff(41,plain,
% 22.04/22.28      (^[A: $i] : refl((op_d = ld(A, mult(op_c, A))) <=> (op_d = ld(A, mult(op_c, A))))),
% 22.04/22.28      inference(bind,[status(th)],[])).
% 22.04/22.28  tff(42,plain,
% 22.04/22.28      (![A: $i] : (op_d = ld(A, mult(op_c, A))) <=> ![A: $i] : (op_d = ld(A, mult(op_c, A)))),
% 22.04/22.28      inference(quant_intro,[status(thm)],[41])).
% 22.04/22.28  tff(43,plain,
% 22.04/22.28      (![A: $i] : (op_d = ld(A, mult(op_c, A))) <=> ![A: $i] : (op_d = ld(A, mult(op_c, A)))),
% 22.04/22.28      inference(rewrite,[status(thm)],[])).
% 22.04/22.28  tff(44,axiom,(![A: $i] : (op_d = ld(A, mult(op_c, A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f11')).
% 22.04/22.28  tff(45,plain,
% 22.04/22.28      (![A: $i] : (op_d = ld(A, mult(op_c, A)))),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[44, 43])).
% 22.04/22.28  tff(46,plain,(
% 22.04/22.28      ![A: $i] : (op_d = ld(A, mult(op_c, A)))),
% 22.04/22.28      inference(skolemize,[status(sab)],[45])).
% 22.04/22.28  tff(47,plain,
% 22.04/22.28      (![A: $i] : (op_d = ld(A, mult(op_c, A)))),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[46, 42])).
% 22.04/22.28  tff(48,plain,
% 22.04/22.28      ((~![A: $i] : (op_d = ld(A, mult(op_c, A)))) | (op_d = ld(mult(X2!1, mult(op_e, X3!0)), mult(op_c, mult(X2!1, mult(op_e, X3!0)))))),
% 22.04/22.28      inference(quant_inst,[status(thm)],[])).
% 22.04/22.28  tff(49,plain,
% 22.04/22.28      (op_d = ld(mult(X2!1, mult(op_e, X3!0)), mult(op_c, mult(X2!1, mult(op_e, X3!0))))),
% 22.04/22.28      inference(unit_resolution,[status(thm)],[48, 47])).
% 22.04/22.28  tff(50,plain,
% 22.04/22.28      ((~![A: $i] : (op_d = ld(A, mult(op_c, A)))) | (op_d = ld(op_c, mult(op_c, op_c)))),
% 22.04/22.28      inference(quant_inst,[status(thm)],[])).
% 22.04/22.28  tff(51,plain,
% 22.04/22.28      (op_d = ld(op_c, mult(op_c, op_c))),
% 22.04/22.28      inference(unit_resolution,[status(thm)],[50, 47])).
% 22.04/22.28  tff(52,plain,
% 22.04/22.28      (ld(op_c, mult(op_c, op_c)) = op_d),
% 22.04/22.28      inference(symmetry,[status(thm)],[51])).
% 22.04/22.28  tff(53,plain,
% 22.04/22.28      (^[B: $i, A: $i] : refl((ld(A, mult(A, B)) = B) <=> (ld(A, mult(A, B)) = B))),
% 22.04/22.28      inference(bind,[status(th)],[])).
% 22.04/22.28  tff(54,plain,
% 22.04/22.28      (![B: $i, A: $i] : (ld(A, mult(A, B)) = B) <=> ![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 22.04/22.28      inference(quant_intro,[status(thm)],[53])).
% 22.04/22.28  tff(55,plain,
% 22.04/22.28      (![B: $i, A: $i] : (ld(A, mult(A, B)) = B) <=> ![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 22.04/22.28      inference(rewrite,[status(thm)],[])).
% 22.04/22.28  tff(56,axiom,(![B: $i, A: $i] : (ld(A, mult(A, B)) = B)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f02')).
% 22.04/22.28  tff(57,plain,
% 22.04/22.28      (![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[56, 55])).
% 22.04/22.28  tff(58,plain,(
% 22.04/22.28      ![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 22.04/22.28      inference(skolemize,[status(sab)],[57])).
% 22.04/22.28  tff(59,plain,
% 22.04/22.28      (![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[58, 54])).
% 22.04/22.28  tff(60,plain,
% 22.04/22.28      ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(op_c, mult(op_c, op_c)) = op_c)),
% 22.04/22.28      inference(quant_inst,[status(thm)],[])).
% 22.04/22.28  tff(61,plain,
% 22.04/22.28      (ld(op_c, mult(op_c, op_c)) = op_c),
% 22.04/22.28      inference(unit_resolution,[status(thm)],[60, 59])).
% 22.04/22.28  tff(62,plain,
% 22.04/22.28      (op_c = ld(op_c, mult(op_c, op_c))),
% 22.04/22.28      inference(symmetry,[status(thm)],[61])).
% 22.04/22.28  tff(63,plain,
% 22.04/22.28      (op_c = ld(mult(X2!1, mult(op_e, X3!0)), mult(mult(op_c, X2!1), mult(op_e, X3!0)))),
% 22.04/22.28      inference(transitivity,[status(thm)],[62, 52, 49, 40])).
% 22.04/22.28  tff(64,plain,
% 22.04/22.28      (mult(mult(X2!1, mult(op_e, X3!0)), op_c) = mult(mult(X2!1, mult(op_e, X3!0)), ld(mult(X2!1, mult(op_e, X3!0)), mult(mult(op_c, X2!1), mult(op_e, X3!0))))),
% 22.04/22.28      inference(monotonicity,[status(thm)],[63])).
% 22.04/22.28  tff(65,plain,
% 22.04/22.28      (mult(mult(X2!1, mult(op_e, X3!0)), op_c) = mult(op_c, mult(X2!1, mult(op_e, X3!0)))),
% 22.04/22.28      inference(transitivity,[status(thm)],[64, 38, 29])).
% 22.04/22.28  tff(66,plain,
% 22.04/22.28      (mult(mult(mult(X2!1, mult(op_e, X3!0)), op_c), op_c) = mult(mult(op_c, mult(X2!1, mult(op_e, X3!0))), op_c)),
% 22.04/22.28      inference(monotonicity,[status(thm)],[65])).
% 22.04/22.28  tff(67,plain,
% 22.04/22.28      (mult(mult(op_c, mult(X2!1, mult(op_e, X3!0))), op_c) = mult(mult(mult(X2!1, mult(op_e, X3!0)), op_c), op_c)),
% 22.04/22.28      inference(symmetry,[status(thm)],[66])).
% 22.04/22.28  tff(68,plain,
% 22.04/22.28      ((~![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))) | (mult(op_c, mult(mult(X2!1, mult(op_e, X3!0)), op_c)) = mult(mult(op_c, mult(X2!1, mult(op_e, X3!0))), op_c))),
% 22.04/22.28      inference(quant_inst,[status(thm)],[])).
% 22.04/22.28  tff(69,plain,
% 22.04/22.28      (mult(op_c, mult(mult(X2!1, mult(op_e, X3!0)), op_c)) = mult(mult(op_c, mult(X2!1, mult(op_e, X3!0))), op_c)),
% 22.04/22.28      inference(unit_resolution,[status(thm)],[68, 26])).
% 22.04/22.28  tff(70,plain,
% 22.04/22.28      (mult(mult(X2!1, mult(op_e, X3!0)), op_c) = mult(mult(op_c, X2!1), mult(op_e, X3!0))),
% 22.04/22.28      inference(transitivity,[status(thm)],[64, 38])).
% 22.04/22.28  tff(71,plain,
% 22.04/22.28      (mult(op_c, mult(mult(X2!1, mult(op_e, X3!0)), op_c)) = mult(op_c, mult(mult(op_c, X2!1), mult(op_e, X3!0)))),
% 22.04/22.28      inference(monotonicity,[status(thm)],[70])).
% 22.04/22.28  tff(72,plain,
% 22.04/22.28      (mult(op_c, mult(mult(op_c, X2!1), mult(op_e, X3!0))) = mult(op_c, mult(mult(X2!1, mult(op_e, X3!0)), op_c))),
% 22.04/22.28      inference(symmetry,[status(thm)],[71])).
% 22.04/22.28  tff(73,plain,
% 22.04/22.28      ((~![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))) | (mult(op_c, mult(mult(op_c, X2!1), mult(op_e, X3!0))) = mult(mult(op_c, mult(op_c, X2!1)), mult(op_e, X3!0)))),
% 22.04/22.28      inference(quant_inst,[status(thm)],[])).
% 22.04/22.28  tff(74,plain,
% 22.04/22.28      (mult(op_c, mult(mult(op_c, X2!1), mult(op_e, X3!0))) = mult(mult(op_c, mult(op_c, X2!1)), mult(op_e, X3!0))),
% 22.04/22.28      inference(unit_resolution,[status(thm)],[73, 26])).
% 22.04/22.28  tff(75,plain,
% 22.04/22.28      (mult(mult(op_c, mult(op_c, X2!1)), mult(op_e, X3!0)) = mult(op_c, mult(mult(op_c, X2!1), mult(op_e, X3!0)))),
% 22.04/22.28      inference(symmetry,[status(thm)],[74])).
% 22.04/22.28  tff(76,plain,
% 22.04/22.28      (^[B: $i, A: $i] : refl((op_f = mult(A, mult(B, ld(mult(A, B), op_c)))) <=> (op_f = mult(A, mult(B, ld(mult(A, B), op_c)))))),
% 22.04/22.28      inference(bind,[status(th)],[])).
% 22.04/22.28  tff(77,plain,
% 22.04/22.28      (![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c)))) <=> ![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c))))),
% 22.04/22.28      inference(quant_intro,[status(thm)],[76])).
% 22.04/22.28  tff(78,plain,
% 22.04/22.28      (![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c)))) <=> ![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c))))),
% 22.04/22.28      inference(rewrite,[status(thm)],[])).
% 22.04/22.28  tff(79,axiom,(![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f13')).
% 22.04/22.28  tff(80,plain,
% 22.04/22.28      (![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c))))),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[79, 78])).
% 22.04/22.28  tff(81,plain,(
% 22.04/22.28      ![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c))))),
% 22.04/22.28      inference(skolemize,[status(sab)],[80])).
% 22.04/22.28  tff(82,plain,
% 22.04/22.28      (![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c))))),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[81, 77])).
% 22.04/22.28  tff(83,plain,
% 22.04/22.28      ((~![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c))))) | (op_f = mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c))))),
% 22.04/22.28      inference(quant_inst,[status(thm)],[])).
% 22.04/22.28  tff(84,plain,
% 22.04/22.28      (op_f = mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)))),
% 22.04/22.28      inference(unit_resolution,[status(thm)],[83, 82])).
% 22.04/22.28  tff(85,plain,
% 22.04/22.28      ((~![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c))))) | (op_f = mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c))))),
% 22.04/22.28      inference(quant_inst,[status(thm)],[])).
% 22.04/22.28  tff(86,plain,
% 22.04/22.28      (op_f = mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c)))),
% 22.04/22.28      inference(unit_resolution,[status(thm)],[85, 82])).
% 22.04/22.28  tff(87,plain,
% 22.04/22.28      (mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c))) = op_f),
% 22.04/22.28      inference(symmetry,[status(thm)],[86])).
% 22.04/22.28  tff(88,plain,
% 22.04/22.28      (^[B: $i, A: $i] : refl((mult(A, mult(op_c, B)) = mult(mult(A, op_c), B)) <=> (mult(A, mult(op_c, B)) = mult(mult(A, op_c), B)))),
% 22.04/22.28      inference(bind,[status(th)],[])).
% 22.04/22.28  tff(89,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, mult(op_c, B)) = mult(mult(A, op_c), B)) <=> ![B: $i, A: $i] : (mult(A, mult(op_c, B)) = mult(mult(A, op_c), B))),
% 22.04/22.28      inference(quant_intro,[status(thm)],[88])).
% 22.04/22.28  tff(90,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, mult(op_c, B)) = mult(mult(A, op_c), B)) <=> ![B: $i, A: $i] : (mult(A, mult(op_c, B)) = mult(mult(A, op_c), B))),
% 22.04/22.28      inference(rewrite,[status(thm)],[])).
% 22.04/22.28  tff(91,axiom,(![B: $i, A: $i] : (mult(A, mult(op_c, B)) = mult(mult(A, op_c), B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f10')).
% 22.04/22.28  tff(92,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, mult(op_c, B)) = mult(mult(A, op_c), B))),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[91, 90])).
% 22.04/22.28  tff(93,plain,(
% 22.04/22.28      ![B: $i, A: $i] : (mult(A, mult(op_c, B)) = mult(mult(A, op_c), B))),
% 22.04/22.28      inference(skolemize,[status(sab)],[92])).
% 22.04/22.28  tff(94,plain,
% 22.04/22.28      (![B: $i, A: $i] : (mult(A, mult(op_c, B)) = mult(mult(A, op_c), B))),
% 22.04/22.28      inference(modus_ponens,[status(thm)],[93, 89])).
% 22.04/22.28  tff(95,plain,
% 22.04/22.28      ((~![B: $i, A: $i] : (mult(A, mult(op_c, B)) = mult(mult(A, op_c), B))) | (mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c))) = mult(mult(mult(mult(X2!1, op_e), X3!0), op_c), ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c)))),
% 22.04/22.29      inference(quant_inst,[status(thm)],[])).
% 22.04/22.29  tff(96,plain,
% 22.04/22.29      (mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c))) = mult(mult(mult(mult(X2!1, op_e), X3!0), op_c), ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c))),
% 22.04/22.29      inference(unit_resolution,[status(thm)],[95, 94])).
% 22.04/22.29  tff(97,plain,
% 22.04/22.29      (mult(mult(mult(mult(X2!1, op_e), X3!0), op_c), ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c)) = mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c)))),
% 22.04/22.29      inference(symmetry,[status(thm)],[96])).
% 22.04/22.29  tff(98,plain,
% 22.04/22.29      ((~![B: $i, A: $i] : (mult(A, ld(A, B)) = B)) | (mult(mult(mult(mult(X2!1, op_e), X3!0), op_c), ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c)) = op_c)),
% 22.04/22.29      inference(quant_inst,[status(thm)],[])).
% 22.04/22.29  tff(99,plain,
% 22.04/22.29      (mult(mult(mult(mult(X2!1, op_e), X3!0), op_c), ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c)) = op_c),
% 22.04/22.29      inference(unit_resolution,[status(thm)],[98, 36])).
% 22.04/22.29  tff(100,plain,
% 22.04/22.29      (op_c = mult(mult(mult(mult(X2!1, op_e), X3!0), op_c), ld(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c))),
% 22.04/22.29      inference(symmetry,[status(thm)],[99])).
% 22.04/22.29  tff(101,plain,
% 22.04/22.29      (op_c = mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)))),
% 22.04/22.29      inference(transitivity,[status(thm)],[100, 97, 87, 84])).
% 22.04/22.29  tff(102,plain,
% 22.04/22.29      (ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c) = ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c))))),
% 22.04/22.29      inference(monotonicity,[status(thm)],[101])).
% 22.04/22.29  tff(103,plain,
% 22.04/22.29      (ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)))) = ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)),
% 22.04/22.29      inference(symmetry,[status(thm)],[102])).
% 22.04/22.29  tff(104,plain,
% 22.04/22.29      ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)))) = mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)))),
% 22.04/22.29      inference(quant_inst,[status(thm)],[])).
% 22.04/22.29  tff(105,plain,
% 22.04/22.29      (ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)))) = mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c))),
% 22.04/22.29      inference(unit_resolution,[status(thm)],[104, 59])).
% 22.04/22.29  tff(106,plain,
% 22.04/22.29      (mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)) = ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c))))),
% 22.13/22.29      inference(symmetry,[status(thm)],[105])).
% 22.13/22.29  tff(107,plain,
% 22.13/22.29      (^[B: $i, A: $i] : refl((op_e = mult(mult(rd(op_c, mult(A, B)), B), A)) <=> (op_e = mult(mult(rd(op_c, mult(A, B)), B), A)))),
% 22.13/22.29      inference(bind,[status(th)],[])).
% 22.13/22.29  tff(108,plain,
% 22.13/22.29      (![B: $i, A: $i] : (op_e = mult(mult(rd(op_c, mult(A, B)), B), A)) <=> ![B: $i, A: $i] : (op_e = mult(mult(rd(op_c, mult(A, B)), B), A))),
% 22.13/22.29      inference(quant_intro,[status(thm)],[107])).
% 22.13/22.29  tff(109,plain,
% 22.13/22.29      (![B: $i, A: $i] : (op_e = mult(mult(rd(op_c, mult(A, B)), B), A)) <=> ![B: $i, A: $i] : (op_e = mult(mult(rd(op_c, mult(A, B)), B), A))),
% 22.13/22.29      inference(rewrite,[status(thm)],[])).
% 22.13/22.29  tff(110,axiom,(![B: $i, A: $i] : (op_e = mult(mult(rd(op_c, mult(A, B)), B), A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f12')).
% 22.13/22.29  tff(111,plain,
% 22.13/22.29      (![B: $i, A: $i] : (op_e = mult(mult(rd(op_c, mult(A, B)), B), A))),
% 22.13/22.29      inference(modus_ponens,[status(thm)],[110, 109])).
% 22.13/22.29  tff(112,plain,(
% 22.13/22.29      ![B: $i, A: $i] : (op_e = mult(mult(rd(op_c, mult(A, B)), B), A))),
% 22.13/22.29      inference(skolemize,[status(sab)],[111])).
% 22.13/22.29  tff(113,plain,
% 22.13/22.29      (![B: $i, A: $i] : (op_e = mult(mult(rd(op_c, mult(A, B)), B), A))),
% 22.13/22.29      inference(modus_ponens,[status(thm)],[112, 108])).
% 22.13/22.29  tff(114,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (op_e = mult(mult(rd(op_c, mult(A, B)), B), A))) | (op_e = mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(115,plain,
% 22.13/22.29      (op_e = mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[114, 113])).
% 22.13/22.29  tff(116,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (op_e = mult(mult(rd(op_c, mult(A, B)), B), A))) | (op_e = mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_e))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(117,plain,
% 22.13/22.29      (op_e = mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_e)),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[116, 113])).
% 22.13/22.29  tff(118,plain,
% 22.13/22.29      (mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_e) = op_e),
% 22.13/22.29      inference(symmetry,[status(thm)],[117])).
% 22.13/22.29  tff(119,plain,
% 22.13/22.29      (mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)) = op_e),
% 22.13/22.29      inference(symmetry,[status(thm)],[115])).
% 22.13/22.29  tff(120,plain,
% 22.13/22.29      (mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_e)),
% 22.13/22.29      inference(monotonicity,[status(thm)],[119])).
% 22.13/22.29  tff(121,plain,
% 22.13/22.29      (mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))),
% 22.13/22.29      inference(transitivity,[status(thm)],[120, 118, 115])).
% 22.13/22.29  tff(122,plain,
% 22.13/22.29      (ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c) = ld(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), op_c)),
% 22.13/22.29      inference(monotonicity,[status(thm)],[121])).
% 22.13/22.29  tff(123,plain,
% 22.13/22.29      (mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)) = mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), op_c))),
% 22.13/22.29      inference(monotonicity,[status(thm)],[122])).
% 22.13/22.29  tff(124,plain,
% 22.13/22.29      (mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), op_c)) = mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c))),
% 22.13/22.29      inference(symmetry,[status(thm)],[123])).
% 22.13/22.29  tff(125,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (mult(A, ld(A, B)) = B)) | (mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), op_c)) = op_c)),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(126,plain,
% 22.13/22.29      (mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), op_c)) = op_c),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[125, 36])).
% 22.13/22.29  tff(127,plain,
% 22.13/22.29      (op_c = mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), op_c))),
% 22.13/22.29      inference(symmetry,[status(thm)],[126])).
% 22.13/22.29  tff(128,plain,
% 22.13/22.29      (op_c = ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)),
% 22.13/22.29      inference(transitivity,[status(thm)],[127, 124, 106, 103])).
% 22.13/22.29  tff(129,plain,
% 22.13/22.29      (mult(X3!0, op_c) = mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c))),
% 22.13/22.29      inference(monotonicity,[status(thm)],[128])).
% 22.13/22.29  tff(130,plain,
% 22.13/22.29      (mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)) = mult(X3!0, op_c)),
% 22.13/22.29      inference(symmetry,[status(thm)],[129])).
% 22.13/22.29  tff(131,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(op_c, mult(op_e, X3!0)), mult(rd(op_c, mult(op_e, X3!0)), mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)))) = mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(132,plain,
% 22.13/22.29      (ld(rd(op_c, mult(op_e, X3!0)), mult(rd(op_c, mult(op_e, X3!0)), mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)))) = mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c))),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[131, 59])).
% 22.13/22.29  tff(133,plain,
% 22.13/22.29      (^[B: $i, A: $i] : refl((mult(rd(A, B), B) = A) <=> (mult(rd(A, B), B) = A))),
% 22.13/22.29      inference(bind,[status(th)],[])).
% 22.13/22.29  tff(134,plain,
% 22.13/22.29      (![B: $i, A: $i] : (mult(rd(A, B), B) = A) <=> ![B: $i, A: $i] : (mult(rd(A, B), B) = A)),
% 22.13/22.29      inference(quant_intro,[status(thm)],[133])).
% 22.13/22.29  tff(135,plain,
% 22.13/22.29      (![B: $i, A: $i] : (mult(rd(A, B), B) = A) <=> ![B: $i, A: $i] : (mult(rd(A, B), B) = A)),
% 22.13/22.29      inference(rewrite,[status(thm)],[])).
% 22.13/22.29  tff(136,axiom,(![B: $i, A: $i] : (mult(rd(A, B), B) = A)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f03')).
% 22.13/22.29  tff(137,plain,
% 22.13/22.29      (![B: $i, A: $i] : (mult(rd(A, B), B) = A)),
% 22.13/22.29      inference(modus_ponens,[status(thm)],[136, 135])).
% 22.13/22.29  tff(138,plain,(
% 22.13/22.29      ![B: $i, A: $i] : (mult(rd(A, B), B) = A)),
% 22.13/22.29      inference(skolemize,[status(sab)],[137])).
% 22.13/22.29  tff(139,plain,
% 22.13/22.29      (![B: $i, A: $i] : (mult(rd(A, B), B) = A)),
% 22.13/22.29      inference(modus_ponens,[status(thm)],[138, 134])).
% 22.13/22.29  tff(140,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (mult(rd(A, B), B) = A)) | (mult(rd(op_c, mult(op_e, X3!0)), mult(op_e, X3!0)) = op_c)),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(141,plain,
% 22.13/22.29      (mult(rd(op_c, mult(op_e, X3!0)), mult(op_e, X3!0)) = op_c),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[140, 139])).
% 22.13/22.29  tff(142,plain,
% 22.13/22.29      (op_c = mult(rd(op_c, mult(op_e, X3!0)), mult(op_e, X3!0))),
% 22.13/22.29      inference(symmetry,[status(thm)],[141])).
% 22.13/22.29  tff(143,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c))))) | (op_f = mult(rd(op_c, mult(op_e, X3!0)), mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c))))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(144,plain,
% 22.13/22.29      (op_f = mult(rd(op_c, mult(op_e, X3!0)), mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)))),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[143, 82])).
% 22.13/22.29  tff(145,plain,
% 22.13/22.29      (mult(rd(op_c, mult(op_e, X3!0)), mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c))) = op_f),
% 22.13/22.29      inference(symmetry,[status(thm)],[144])).
% 22.13/22.29  tff(146,plain,
% 22.13/22.29      (mult(rd(op_c, mult(op_e, X3!0)), mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c))) = mult(rd(op_c, mult(op_e, X3!0)), mult(op_e, X3!0))),
% 22.13/22.29      inference(transitivity,[status(thm)],[145, 86, 96, 99, 142])).
% 22.13/22.29  tff(147,plain,
% 22.13/22.29      (ld(rd(op_c, mult(op_e, X3!0)), mult(rd(op_c, mult(op_e, X3!0)), mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)))) = ld(rd(op_c, mult(op_e, X3!0)), mult(rd(op_c, mult(op_e, X3!0)), mult(op_e, X3!0)))),
% 22.13/22.29      inference(monotonicity,[status(thm)],[146])).
% 22.13/22.29  tff(148,plain,
% 22.13/22.29      (ld(rd(op_c, mult(op_e, X3!0)), mult(rd(op_c, mult(op_e, X3!0)), mult(op_e, X3!0))) = ld(rd(op_c, mult(op_e, X3!0)), mult(rd(op_c, mult(op_e, X3!0)), mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c))))),
% 22.13/22.29      inference(symmetry,[status(thm)],[147])).
% 22.13/22.29  tff(149,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(rd(op_c, mult(op_e, X3!0)), mult(rd(op_c, mult(op_e, X3!0)), mult(op_e, X3!0))) = mult(op_e, X3!0))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(150,plain,
% 22.13/22.29      (ld(rd(op_c, mult(op_e, X3!0)), mult(rd(op_c, mult(op_e, X3!0)), mult(op_e, X3!0))) = mult(op_e, X3!0)),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[149, 59])).
% 22.13/22.29  tff(151,plain,
% 22.13/22.29      (mult(op_e, X3!0) = ld(rd(op_c, mult(op_e, X3!0)), mult(rd(op_c, mult(op_e, X3!0)), mult(op_e, X3!0)))),
% 22.13/22.29      inference(symmetry,[status(thm)],[150])).
% 22.13/22.29  tff(152,plain,
% 22.13/22.29      (mult(op_e, X3!0) = mult(X3!0, op_c)),
% 22.13/22.29      inference(transitivity,[status(thm)],[151, 148, 132, 130])).
% 22.13/22.29  tff(153,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))) | (mult(op_c, mult(X2!1, op_e)) = mult(mult(op_c, X2!1), op_e))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(154,plain,
% 22.13/22.29      (mult(op_c, mult(X2!1, op_e)) = mult(mult(op_c, X2!1), op_e)),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[153, 26])).
% 22.13/22.29  tff(155,plain,
% 22.13/22.29      (mult(mult(op_c, X2!1), op_e) = mult(op_c, mult(X2!1, op_e))),
% 22.13/22.29      inference(symmetry,[status(thm)],[154])).
% 22.13/22.29  tff(156,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (mult(A, ld(A, B)) = B)) | (mult(mult(X2!1, op_e), ld(mult(X2!1, op_e), mult(mult(op_c, X2!1), op_e))) = mult(mult(op_c, X2!1), op_e))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(157,plain,
% 22.13/22.29      (mult(mult(X2!1, op_e), ld(mult(X2!1, op_e), mult(mult(op_c, X2!1), op_e))) = mult(mult(op_c, X2!1), op_e)),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[156, 36])).
% 22.13/22.29  tff(158,plain,
% 22.13/22.29      (ld(mult(X2!1, op_e), mult(mult(op_c, X2!1), op_e)) = ld(mult(X2!1, op_e), mult(op_c, mult(X2!1, op_e)))),
% 22.13/22.29      inference(monotonicity,[status(thm)],[155])).
% 22.13/22.29  tff(159,plain,
% 22.13/22.29      (ld(mult(X2!1, op_e), mult(op_c, mult(X2!1, op_e))) = ld(mult(X2!1, op_e), mult(mult(op_c, X2!1), op_e))),
% 22.13/22.29      inference(symmetry,[status(thm)],[158])).
% 22.13/22.29  tff(160,plain,
% 22.13/22.29      ((~![A: $i] : (op_d = ld(A, mult(op_c, A)))) | (op_d = ld(mult(X2!1, op_e), mult(op_c, mult(X2!1, op_e))))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(161,plain,
% 22.13/22.29      (op_d = ld(mult(X2!1, op_e), mult(op_c, mult(X2!1, op_e)))),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[160, 47])).
% 22.13/22.29  tff(162,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (op_f = mult(A, mult(B, ld(mult(A, B), op_c))))) | (op_f = mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c))))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(163,plain,
% 22.13/22.29      (op_f = mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c)))),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[162, 82])).
% 22.13/22.29  tff(164,plain,
% 22.13/22.29      (mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c))) = op_f),
% 22.13/22.29      inference(symmetry,[status(thm)],[163])).
% 22.13/22.29  tff(165,plain,
% 22.13/22.29      (mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c))) = ld(mult(X2!1, op_e), mult(mult(op_c, X2!1), op_e))),
% 22.13/22.29      inference(transitivity,[status(thm)],[164, 86, 96, 99, 62, 52, 161, 159])).
% 22.13/22.29  tff(166,plain,
% 22.13/22.29      (mult(mult(X2!1, op_e), mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c)))) = mult(mult(X2!1, op_e), ld(mult(X2!1, op_e), mult(mult(op_c, X2!1), op_e)))),
% 22.13/22.29      inference(monotonicity,[status(thm)],[165])).
% 22.13/22.29  tff(167,plain,
% 22.13/22.29      (op_c = mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c)))),
% 22.13/22.29      inference(transitivity,[status(thm)],[100, 97, 87, 163])).
% 22.13/22.29  tff(168,plain,
% 22.13/22.29      (mult(mult(X2!1, op_e), op_c) = mult(mult(X2!1, op_e), mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c))))),
% 22.13/22.29      inference(monotonicity,[status(thm)],[167])).
% 22.13/22.29  tff(169,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))) | (mult(X2!1, mult(op_e, op_c)) = mult(mult(X2!1, op_e), op_c))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(170,plain,
% 22.13/22.29      (mult(X2!1, mult(op_e, op_c)) = mult(mult(X2!1, op_e), op_c)),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[169, 16])).
% 22.13/22.29  tff(171,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (op_e = mult(mult(rd(op_c, mult(A, B)), B), A))) | (op_e = mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(rd(op_c, mult(op_e, X3!0)), X3!0)))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(172,plain,
% 22.13/22.29      (op_e = mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(rd(op_c, mult(op_e, X3!0)), X3!0))),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[171, 113])).
% 22.13/22.29  tff(173,plain,
% 22.13/22.29      (mult(op_e, op_c) = mult(mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(rd(op_c, mult(op_e, X3!0)), X3!0)), op_c)),
% 22.13/22.29      inference(monotonicity,[status(thm)],[172])).
% 22.13/22.29  tff(174,plain,
% 22.13/22.29      (mult(mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(rd(op_c, mult(op_e, X3!0)), X3!0)), op_c) = mult(op_e, op_c)),
% 22.13/22.29      inference(symmetry,[status(thm)],[173])).
% 22.13/22.29  tff(175,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))) | (mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)) = mult(mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(rd(op_c, mult(op_e, X3!0)), X3!0)), op_c))),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(176,plain,
% 22.13/22.29      (mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)) = mult(mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(rd(op_c, mult(op_e, X3!0)), X3!0)), op_c)),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[175, 16])).
% 22.13/22.29  tff(177,plain,
% 22.13/22.29      ((~![B: $i, A: $i] : (mult(rd(A, B), B) = A)) | (mult(rd(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = op_c)),
% 22.13/22.29      inference(quant_inst,[status(thm)],[])).
% 22.13/22.29  tff(178,plain,
% 22.13/22.29      (mult(rd(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = op_c),
% 22.13/22.29      inference(unit_resolution,[status(thm)],[177, 139])).
% 22.13/22.29  tff(179,plain,
% 22.13/22.29      (rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))) = rd(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))),
% 22.13/22.29      inference(monotonicity,[status(thm)],[121])).
% 22.13/22.29  tff(180,plain,
% 22.13/22.29      (mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = mult(rd(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[179])).
% 22.13/22.30  tff(181,plain,
% 22.13/22.30      (mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = op_c),
% 22.13/22.30      inference(transitivity,[status(thm)],[180, 178])).
% 22.13/22.30  tff(182,plain,
% 22.13/22.30      (mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)) = mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[181])).
% 22.13/22.30  tff(183,plain,
% 22.13/22.30      (mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)) = mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c))),
% 22.13/22.30      inference(symmetry,[status(thm)],[182])).
% 22.13/22.30  tff(184,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))) | (mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)) = mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), op_c))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(185,plain,
% 22.13/22.30      (mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)) = mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), op_c)),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[184, 16])).
% 22.13/22.30  tff(186,plain,
% 22.13/22.30      (mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), op_c) = mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c))),
% 22.13/22.30      inference(symmetry,[status(thm)],[185])).
% 22.13/22.30  tff(187,plain,
% 22.13/22.30      (op_c = mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c))),
% 22.13/22.30      inference(transitivity,[status(thm)],[127, 124])).
% 22.13/22.30  tff(188,plain,
% 22.13/22.30      (mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), op_c) = mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[187])).
% 22.13/22.30  tff(189,plain,
% 22.13/22.30      (mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c))) = mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), op_c)),
% 22.13/22.30      inference(symmetry,[status(thm)],[188])).
% 22.13/22.30  tff(190,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))) | (mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)))) = mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c))))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(191,plain,
% 22.13/22.30      (mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)))) = mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)))),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[190, 26])).
% 22.13/22.30  tff(192,plain,
% 22.13/22.30      (mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c))) = op_f),
% 22.13/22.30      inference(symmetry,[status(thm)],[84])).
% 22.13/22.30  tff(193,plain,
% 22.13/22.30      (mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c))) = mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c)))),
% 22.13/22.30      inference(transitivity,[status(thm)],[192, 163])).
% 22.13/22.30  tff(194,plain,
% 22.13/22.30      (mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c)))) = mult(op_c, mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c))))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[193])).
% 22.13/22.30  tff(195,plain,
% 22.13/22.30      (mult(op_c, mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c)))) = mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)), ld(mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), op_c))))),
% 22.13/22.30      inference(symmetry,[status(thm)],[194])).
% 22.13/22.30  tff(196,plain,
% 22.13/22.30      (mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c))) = op_c),
% 22.13/22.30      inference(transitivity,[status(thm)],[164, 86, 96, 99])).
% 22.13/22.30  tff(197,plain,
% 22.13/22.30      (mult(op_c, mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c)))) = mult(mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c))), op_c)),
% 22.13/22.30      inference(monotonicity,[status(thm)],[167, 196])).
% 22.13/22.30  tff(198,plain,
% 22.13/22.30      (mult(mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c))), op_c) = mult(op_c, mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c))))),
% 22.13/22.30      inference(symmetry,[status(thm)],[197])).
% 22.13/22.30  tff(199,plain,
% 22.13/22.30      (mult(op_c, op_c) = mult(mult(mult(X2!1, op_e), mult(X3!0, ld(mult(mult(X2!1, op_e), X3!0), op_c))), op_c)),
% 22.13/22.30      inference(monotonicity,[status(thm)],[167])).
% 22.13/22.30  tff(200,plain,
% 22.13/22.30      (mult(op_c, op_c) = mult(op_e, op_c)),
% 22.13/22.30      inference(transitivity,[status(thm)],[199, 198, 195, 191, 189, 186, 183, 176, 174])).
% 22.13/22.30  tff(201,plain,
% 22.13/22.30      (mult(X2!1, mult(op_c, op_c)) = mult(X2!1, mult(op_e, op_c))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[200])).
% 22.13/22.30  tff(202,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))) | (mult(X2!1, mult(op_c, op_c)) = mult(mult(X2!1, op_c), op_c))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(203,plain,
% 22.13/22.30      (mult(X2!1, mult(op_c, op_c)) = mult(mult(X2!1, op_c), op_c)),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[202, 16])).
% 22.13/22.30  tff(204,plain,
% 22.13/22.30      (mult(mult(X2!1, op_c), op_c) = mult(X2!1, mult(op_c, op_c))),
% 22.13/22.30      inference(symmetry,[status(thm)],[203])).
% 22.13/22.30  tff(205,plain,
% 22.13/22.30      ((~![A: $i] : (op_d = ld(A, mult(op_c, A)))) | (op_d = ld(X2!1, mult(op_c, X2!1)))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(206,plain,
% 22.13/22.30      (op_d = ld(X2!1, mult(op_c, X2!1))),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[205, 47])).
% 22.13/22.30  tff(207,plain,
% 22.13/22.30      (ld(X2!1, mult(op_c, X2!1)) = op_d),
% 22.13/22.30      inference(symmetry,[status(thm)],[206])).
% 22.13/22.30  tff(208,plain,
% 22.13/22.30      (ld(X2!1, mult(op_c, X2!1)) = op_c),
% 22.13/22.30      inference(transitivity,[status(thm)],[207, 51, 61])).
% 22.13/22.30  tff(209,plain,
% 22.13/22.30      (mult(X2!1, ld(X2!1, mult(op_c, X2!1))) = mult(X2!1, op_c)),
% 22.13/22.30      inference(monotonicity,[status(thm)],[208])).
% 22.13/22.30  tff(210,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(A, ld(A, B)) = B)) | (mult(X2!1, ld(X2!1, mult(op_c, X2!1))) = mult(op_c, X2!1))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(211,plain,
% 22.13/22.30      (mult(X2!1, ld(X2!1, mult(op_c, X2!1))) = mult(op_c, X2!1)),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[210, 36])).
% 22.13/22.30  tff(212,plain,
% 22.13/22.30      (mult(op_c, X2!1) = mult(X2!1, ld(X2!1, mult(op_c, X2!1)))),
% 22.13/22.30      inference(symmetry,[status(thm)],[211])).
% 22.13/22.30  tff(213,plain,
% 22.13/22.30      (mult(op_c, X2!1) = mult(X2!1, op_c)),
% 22.13/22.30      inference(transitivity,[status(thm)],[212, 209])).
% 22.13/22.30  tff(214,plain,
% 22.13/22.30      (mult(mult(op_c, X2!1), op_c) = mult(mult(X2!1, op_c), op_c)),
% 22.13/22.30      inference(monotonicity,[status(thm)],[213])).
% 22.13/22.30  tff(215,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))) | (mult(op_c, mult(X2!1, op_c)) = mult(mult(op_c, X2!1), op_c))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(216,plain,
% 22.13/22.30      (mult(op_c, mult(X2!1, op_c)) = mult(mult(op_c, X2!1), op_c)),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[215, 16])).
% 22.13/22.30  tff(217,plain,
% 22.13/22.30      (mult(op_c, mult(op_c, X2!1)) = mult(op_c, mult(X2!1, op_c))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[213])).
% 22.13/22.30  tff(218,plain,
% 22.13/22.30      (mult(op_c, mult(op_c, X2!1)) = mult(op_c, mult(X2!1, op_e))),
% 22.13/22.30      inference(transitivity,[status(thm)],[217, 216, 214, 204, 201, 170, 168, 166, 157, 155])).
% 22.13/22.30  tff(219,plain,
% 22.13/22.30      (mult(mult(op_c, mult(op_c, X2!1)), mult(op_e, X3!0)) = mult(mult(op_c, mult(X2!1, op_e)), mult(X3!0, op_c))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[218, 152])).
% 22.13/22.30  tff(220,plain,
% 22.13/22.30      (mult(mult(op_c, mult(X2!1, op_e)), mult(X3!0, op_c)) = mult(mult(op_c, mult(op_c, X2!1)), mult(op_e, X3!0))),
% 22.13/22.30      inference(symmetry,[status(thm)],[219])).
% 22.13/22.30  tff(221,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))) | (mult(op_c, mult(mult(X2!1, op_e), mult(X3!0, op_c))) = mult(mult(op_c, mult(X2!1, op_e)), mult(X3!0, op_c)))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(222,plain,
% 22.13/22.30      (mult(op_c, mult(mult(X2!1, op_e), mult(X3!0, op_c))) = mult(mult(op_c, mult(X2!1, op_e)), mult(X3!0, op_c))),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[221, 26])).
% 22.13/22.30  tff(223,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))) | (mult(mult(X2!1, op_e), mult(X3!0, op_c)) = mult(mult(mult(X2!1, op_e), X3!0), op_c))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(224,plain,
% 22.13/22.30      (mult(mult(X2!1, op_e), mult(X3!0, op_c)) = mult(mult(mult(X2!1, op_e), X3!0), op_c)),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[223, 16])).
% 22.13/22.30  tff(225,plain,
% 22.13/22.30      (mult(op_c, mult(mult(X2!1, op_e), mult(X3!0, op_c))) = mult(op_c, mult(mult(mult(X2!1, op_e), X3!0), op_c))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[224])).
% 22.13/22.30  tff(226,plain,
% 22.13/22.30      (mult(op_c, mult(mult(mult(X2!1, op_e), X3!0), op_c)) = mult(op_c, mult(mult(X2!1, op_e), mult(X3!0, op_c)))),
% 22.13/22.30      inference(symmetry,[status(thm)],[225])).
% 22.13/22.30  tff(227,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))) | (mult(op_c, mult(mult(mult(X2!1, op_e), X3!0), op_c)) = mult(mult(op_c, mult(mult(X2!1, op_e), X3!0)), op_c))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(228,plain,
% 22.13/22.30      (mult(op_c, mult(mult(mult(X2!1, op_e), X3!0), op_c)) = mult(mult(op_c, mult(mult(X2!1, op_e), X3!0)), op_c)),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[227, 26])).
% 22.13/22.30  tff(229,plain,
% 22.13/22.30      (mult(mult(op_c, mult(mult(X2!1, op_e), X3!0)), op_c) = mult(op_c, mult(mult(mult(X2!1, op_e), X3!0), op_c))),
% 22.13/22.30      inference(symmetry,[status(thm)],[228])).
% 22.13/22.30  tff(230,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))) | (mult(op_c, mult(mult(X2!1, op_e), X3!0)) = mult(mult(op_c, mult(X2!1, op_e)), X3!0))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(231,plain,
% 22.13/22.30      (mult(op_c, mult(mult(X2!1, op_e), X3!0)) = mult(mult(op_c, mult(X2!1, op_e)), X3!0)),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[230, 26])).
% 22.13/22.30  tff(232,plain,
% 22.13/22.30      (mult(mult(op_c, mult(X2!1, op_e)), X3!0) = mult(op_c, mult(mult(X2!1, op_e), X3!0))),
% 22.13/22.30      inference(symmetry,[status(thm)],[231])).
% 22.13/22.30  tff(233,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(A, ld(A, B)) = B)) | (mult(mult(mult(X2!1, op_e), X3!0), ld(mult(mult(X2!1, op_e), X3!0), mult(mult(op_c, mult(X2!1, op_e)), X3!0))) = mult(mult(op_c, mult(X2!1, op_e)), X3!0))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(234,plain,
% 22.13/22.30      (mult(mult(mult(X2!1, op_e), X3!0), ld(mult(mult(X2!1, op_e), X3!0), mult(mult(op_c, mult(X2!1, op_e)), X3!0))) = mult(mult(op_c, mult(X2!1, op_e)), X3!0)),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[233, 36])).
% 22.13/22.30  tff(235,plain,
% 22.13/22.30      (ld(mult(mult(X2!1, op_e), X3!0), mult(mult(op_c, mult(X2!1, op_e)), X3!0)) = ld(mult(mult(X2!1, op_e), X3!0), mult(op_c, mult(mult(X2!1, op_e), X3!0)))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[232])).
% 22.13/22.30  tff(236,plain,
% 22.13/22.30      (ld(mult(mult(X2!1, op_e), X3!0), mult(op_c, mult(mult(X2!1, op_e), X3!0))) = ld(mult(mult(X2!1, op_e), X3!0), mult(mult(op_c, mult(X2!1, op_e)), X3!0))),
% 22.13/22.30      inference(symmetry,[status(thm)],[235])).
% 22.13/22.30  tff(237,plain,
% 22.13/22.30      ((~![A: $i] : (op_d = ld(A, mult(op_c, A)))) | (op_d = ld(mult(mult(X2!1, op_e), X3!0), mult(op_c, mult(mult(X2!1, op_e), X3!0))))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(238,plain,
% 22.13/22.30      (op_d = ld(mult(mult(X2!1, op_e), X3!0), mult(op_c, mult(mult(X2!1, op_e), X3!0)))),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[237, 47])).
% 22.13/22.30  tff(239,plain,
% 22.13/22.30      (op_c = ld(mult(mult(X2!1, op_e), X3!0), mult(mult(op_c, mult(X2!1, op_e)), X3!0))),
% 22.13/22.30      inference(transitivity,[status(thm)],[62, 52, 238, 236])).
% 22.13/22.30  tff(240,plain,
% 22.13/22.30      (mult(mult(mult(X2!1, op_e), X3!0), op_c) = mult(mult(mult(X2!1, op_e), X3!0), ld(mult(mult(X2!1, op_e), X3!0), mult(mult(op_c, mult(X2!1, op_e)), X3!0)))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[239])).
% 22.13/22.30  tff(241,plain,
% 22.13/22.30      (mult(mult(mult(X2!1, op_e), X3!0), op_c) = mult(op_c, mult(mult(X2!1, op_e), X3!0))),
% 22.13/22.30      inference(transitivity,[status(thm)],[240, 234, 232])).
% 22.13/22.30  tff(242,plain,
% 22.13/22.30      (mult(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c) = mult(mult(op_c, mult(mult(X2!1, op_e), X3!0)), op_c)),
% 22.13/22.30      inference(monotonicity,[status(thm)],[241])).
% 22.13/22.30  tff(243,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))) | (mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, op_c)) = mult(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(244,plain,
% 22.13/22.30      (mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, op_c)) = mult(mult(mult(mult(X2!1, op_e), X3!0), op_c), op_c)),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[243, 16])).
% 22.13/22.30  tff(245,plain,
% 22.13/22.30      (mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, op_c)) = mult(mult(X2!1, mult(op_e, X3!0)), mult(op_c, op_c))),
% 22.13/22.30      inference(transitivity,[status(thm)],[244, 242, 229, 226, 222, 220, 75, 72, 69, 67, 19])).
% 22.13/22.30  tff(246,plain,
% 22.13/22.30      (rd(mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, op_c)), mult(op_c, op_c)) = rd(mult(mult(X2!1, mult(op_e, X3!0)), mult(op_c, op_c)), mult(op_c, op_c))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[245])).
% 22.13/22.30  tff(247,plain,
% 22.13/22.30      (rd(mult(mult(X2!1, mult(op_e, X3!0)), mult(op_c, op_c)), mult(op_c, op_c)) = rd(mult(mult(mult(X2!1, op_e), X3!0), mult(op_c, op_c)), mult(op_c, op_c))),
% 22.13/22.30      inference(symmetry,[status(thm)],[246])).
% 22.13/22.30  tff(248,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(X2!1, mult(op_e, X3!0)), mult(op_c, op_c)), mult(op_c, op_c)) = mult(X2!1, mult(op_e, X3!0)))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(249,plain,
% 22.13/22.30      (rd(mult(mult(X2!1, mult(op_e, X3!0)), mult(op_c, op_c)), mult(op_c, op_c)) = mult(X2!1, mult(op_e, X3!0))),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[248, 7])).
% 22.13/22.30  tff(250,plain,
% 22.13/22.30      (mult(X2!1, mult(op_e, X3!0)) = rd(mult(mult(X2!1, mult(op_e, X3!0)), mult(op_c, op_c)), mult(op_c, op_c))),
% 22.13/22.30      inference(symmetry,[status(thm)],[249])).
% 22.13/22.30  tff(251,plain,
% 22.13/22.30      (mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0)),
% 22.13/22.30      inference(transitivity,[status(thm)],[250, 247, 9])).
% 22.13/22.30  tff(252,assumption,(~(mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0))), introduced(assumption)).
% 22.13/22.30  tff(253,plain,
% 22.13/22.30      ($false),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[252, 251])).
% 22.13/22.30  tff(254,plain,(mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0)), inference(lemma,lemma(discharge,[]))).
% 22.13/22.30  tff(255,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = op_c)),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(256,plain,
% 22.13/22.30      (rd(mult(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = op_c),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[255, 7])).
% 22.13/22.30  tff(257,plain,
% 22.13/22.30      (mult(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = mult(op_c, op_e)),
% 22.13/22.30      inference(monotonicity,[status(thm)],[119])).
% 22.13/22.30  tff(258,plain,
% 22.13/22.30      (mult(op_c, op_e) = mult(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))),
% 22.13/22.30      inference(symmetry,[status(thm)],[257])).
% 22.13/22.30  tff(259,plain,
% 22.13/22.30      (mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = op_e),
% 22.13/22.30      inference(transitivity,[status(thm)],[120, 118])).
% 22.13/22.30  tff(260,plain,
% 22.13/22.30      (mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))) = mult(op_c, op_e)),
% 22.13/22.30      inference(monotonicity,[status(thm)],[259])).
% 22.13/22.30  tff(261,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))) | (mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))) = mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(262,plain,
% 22.13/22.30      (mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))) = mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[261, 26])).
% 22.13/22.30  tff(263,plain,
% 22.13/22.30      (mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = mult(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))))),
% 22.13/22.30      inference(symmetry,[status(thm)],[262])).
% 22.13/22.30  tff(264,plain,
% 22.13/22.30      ((~![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))) | (mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)) = mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0))),
% 22.13/22.30      inference(quant_inst,[status(thm)],[])).
% 22.13/22.30  tff(265,plain,
% 22.13/22.30      (mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)) = mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0)),
% 22.13/22.30      inference(unit_resolution,[status(thm)],[264, 26])).
% 22.13/22.30  tff(266,plain,
% 22.13/22.30      (mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0) = mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0))),
% 22.13/22.30      inference(symmetry,[status(thm)],[265])).
% 22.13/22.30  tff(267,plain,
% 22.13/22.30      (mult(mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = mult(mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[266])).
% 22.13/22.30  tff(268,plain,
% 22.13/22.30      (mult(mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = mult(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))),
% 22.13/22.30      inference(transitivity,[status(thm)],[267, 263, 260, 258])).
% 22.13/22.30  tff(269,plain,
% 22.13/22.30      (rd(mult(mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = rd(mult(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))),
% 22.13/22.30      inference(monotonicity,[status(thm)],[268])).
% 22.13/22.31  tff(270,plain,
% 22.13/22.31      ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0))),
% 22.13/22.31      inference(quant_inst,[status(thm)],[])).
% 22.13/22.31  tff(271,plain,
% 22.13/22.31      (rd(mult(mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0)),
% 22.13/22.31      inference(unit_resolution,[status(thm)],[270, 7])).
% 22.13/22.31  tff(272,plain,
% 22.13/22.31      (mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0) = rd(mult(mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))),
% 22.13/22.31      inference(symmetry,[status(thm)],[271])).
% 22.13/22.31  tff(273,plain,
% 22.13/22.31      (mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(rd(op_c, mult(op_e, X3!0)), X3!0)) = mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0))),
% 22.13/22.31      inference(monotonicity,[status(thm)],[181])).
% 22.13/22.31  tff(274,plain,
% 22.13/22.31      (op_e = op_c),
% 22.13/22.31      inference(transitivity,[status(thm)],[172, 273, 265, 272, 269, 256])).
% 22.13/22.31  tff(275,plain,
% 22.13/22.31      (mult(mult(X2!1, X3!0), op_e) = mult(mult(X2!1, X3!0), op_c)),
% 22.13/22.31      inference(monotonicity,[status(thm)],[274])).
% 22.13/22.31  tff(276,plain,
% 22.13/22.31      (mult(mult(X2!1, X3!0), op_c) = mult(mult(X2!1, X3!0), op_e)),
% 22.13/22.31      inference(symmetry,[status(thm)],[275])).
% 22.13/22.31  tff(277,plain,
% 22.13/22.31      ((~![B: $i, A: $i] : (mult(A, mult(B, op_c)) = mult(mult(A, B), op_c))) | (mult(X2!1, mult(X3!0, op_c)) = mult(mult(X2!1, X3!0), op_c))),
% 22.13/22.31      inference(quant_inst,[status(thm)],[])).
% 22.13/22.31  tff(278,plain,
% 22.13/22.31      (mult(X2!1, mult(X3!0, op_c)) = mult(mult(X2!1, X3!0), op_c)),
% 22.13/22.31      inference(unit_resolution,[status(thm)],[277, 16])).
% 22.13/22.31  tff(279,plain,
% 22.13/22.31      (mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c)) = ld(rd(op_c, mult(op_e, X3!0)), mult(rd(op_c, mult(op_e, X3!0)), mult(X3!0, ld(mult(rd(op_c, mult(op_e, X3!0)), X3!0), op_c))))),
% 22.13/22.31      inference(symmetry,[status(thm)],[132])).
% 22.13/22.31  tff(280,plain,
% 22.13/22.31      (mult(X3!0, op_c) = mult(op_e, X3!0)),
% 22.13/22.31      inference(transitivity,[status(thm)],[129, 279, 147, 150])).
% 22.13/22.31  tff(281,plain,
% 22.13/22.31      (mult(X2!1, mult(X3!0, op_c)) = mult(X2!1, mult(op_e, X3!0))),
% 22.13/22.31      inference(monotonicity,[status(thm)],[280])).
% 22.13/22.31  tff(282,plain,
% 22.13/22.31      (mult(X2!1, mult(op_e, X3!0)) = mult(X2!1, mult(X3!0, op_c))),
% 22.13/22.31      inference(symmetry,[status(thm)],[281])).
% 22.13/22.31  tff(283,plain,
% 22.13/22.31      (mult(X3!0, op_e) = mult(X3!0, op_c)),
% 22.13/22.31      inference(monotonicity,[status(thm)],[274])).
% 22.13/22.31  tff(284,plain,
% 22.13/22.31      (mult(X3!0, op_e) = mult(op_e, X3!0)),
% 22.13/22.31      inference(transitivity,[status(thm)],[283, 129, 279, 147, 150])).
% 22.13/22.31  tff(285,plain,
% 22.13/22.31      (mult(X2!1, mult(X3!0, op_e)) = mult(X2!1, mult(op_e, X3!0))),
% 22.13/22.31      inference(monotonicity,[status(thm)],[284])).
% 22.13/22.31  tff(286,plain,
% 22.13/22.31      (mult(X2!1, mult(X3!0, op_e)) = mult(mult(X2!1, X3!0), op_e)),
% 22.13/22.31      inference(transitivity,[status(thm)],[285, 282, 278, 276])).
% 22.13/22.31  tff(287,plain,
% 22.13/22.31      (mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(rd(op_c, mult(op_e, X3!0)), X3!0)) = op_e),
% 22.13/22.31      inference(symmetry,[status(thm)],[172])).
% 22.13/22.31  tff(288,plain,
% 22.13/22.31      (mult(op_c, mult(rd(op_c, mult(op_e, X3!0)), X3!0)) = mult(mult(rd(op_c, mult(mult(rd(op_c, mult(op_e, X3!0)), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(rd(op_c, mult(op_e, X3!0)), X3!0))),
% 22.13/22.31      inference(symmetry,[status(thm)],[273])).
% 22.13/22.31  tff(289,plain,
% 22.13/22.31      (rd(mult(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))) = rd(mult(mult(mult(op_c, rd(op_c, mult(op_e, X3!0))), X3!0), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))),
% 22.13/22.31      inference(symmetry,[status(thm)],[269])).
% 22.13/22.31  tff(290,plain,
% 22.13/22.31      (op_c = rd(mult(op_c, mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e))), mult(mult(rd(op_c, mult(mult(X2!1, op_e), X3!0)), X3!0), mult(X2!1, op_e)))),
% 22.13/22.31      inference(symmetry,[status(thm)],[256])).
% 22.13/22.31  tff(291,plain,
% 22.13/22.31      (op_c = op_e),
% 22.13/22.31      inference(transitivity,[status(thm)],[290, 289, 271, 266, 288, 287])).
% 22.13/22.31  tff(292,plain,
% 22.13/22.31      (mult(X2!1, op_c) = mult(X2!1, op_e)),
% 22.13/22.31      inference(monotonicity,[status(thm)],[291])).
% 22.13/22.31  tff(293,plain,
% 22.13/22.31      (mult(op_e, X2!1) = mult(op_c, X2!1)),
% 22.13/22.31      inference(monotonicity,[status(thm)],[274])).
% 22.13/22.31  tff(294,plain,
% 22.13/22.31      (mult(op_e, X2!1) = mult(X2!1, op_e)),
% 22.13/22.31      inference(transitivity,[status(thm)],[293, 212, 209, 292])).
% 22.13/22.31  tff(295,plain,
% 22.13/22.31      (mult(mult(op_e, X2!1), X3!0) = mult(mult(X2!1, op_e), X3!0)),
% 22.13/22.31      inference(monotonicity,[status(thm)],[294])).
% 22.13/22.31  tff(296,plain,
% 22.13/22.31      (mult(mult(X2!1, op_e), X3!0) = mult(mult(op_e, X2!1), X3!0)),
% 22.13/22.31      inference(symmetry,[status(thm)],[295])).
% 22.13/22.31  tff(297,plain,
% 22.13/22.31      (mult(op_c, X2!1) = mult(X2!1, op_e)),
% 22.13/22.31      inference(transitivity,[status(thm)],[212, 209, 292])).
% 22.13/22.31  tff(298,plain,
% 22.13/22.31      (mult(mult(op_c, X2!1), X3!0) = mult(mult(X2!1, op_e), X3!0)),
% 22.13/22.31      inference(monotonicity,[status(thm)],[297])).
% 22.13/22.31  tff(299,plain,
% 22.13/22.31      ((~![B: $i, A: $i] : (mult(op_c, mult(A, B)) = mult(mult(op_c, A), B))) | (mult(op_c, mult(X2!1, X3!0)) = mult(mult(op_c, X2!1), X3!0))),
% 22.13/22.31      inference(quant_inst,[status(thm)],[])).
% 22.13/22.31  tff(300,plain,
% 22.13/22.31      (mult(op_c, mult(X2!1, X3!0)) = mult(mult(op_c, X2!1), X3!0)),
% 22.13/22.31      inference(unit_resolution,[status(thm)],[299, 26])).
% 22.13/22.31  tff(301,plain,
% 22.13/22.31      (mult(op_e, mult(X2!1, X3!0)) = mult(op_c, mult(X2!1, X3!0))),
% 22.13/22.31      inference(monotonicity,[status(thm)],[274])).
% 22.13/22.31  tff(302,plain,
% 22.13/22.31      (mult(op_e, mult(X2!1, X3!0)) = mult(mult(op_e, X2!1), X3!0)),
% 22.13/22.31      inference(transitivity,[status(thm)],[301, 300, 298, 296])).
% 22.13/22.31  tff(303,plain,
% 22.13/22.31      ((~(~((~(mult(op_e, mult(X2!1, X3!0)) = mult(mult(op_e, X2!1), X3!0))) | (~(mult(X2!1, mult(X3!0, op_e)) = mult(mult(X2!1, X3!0), op_e))) | (~(mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0)))))) <=> ((~(mult(op_e, mult(X2!1, X3!0)) = mult(mult(op_e, X2!1), X3!0))) | (~(mult(X2!1, mult(X3!0, op_e)) = mult(mult(X2!1, X3!0), op_e))) | (~(mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0))))),
% 22.13/22.31      inference(rewrite,[status(thm)],[])).
% 22.13/22.31  tff(304,plain,
% 22.13/22.31      (((mult(op_e, mult(X2!1, X3!0)) = mult(mult(op_e, X2!1), X3!0)) & (mult(X2!1, mult(X3!0, op_e)) = mult(mult(X2!1, X3!0), op_e)) & (mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0))) <=> (~((~(mult(op_e, mult(X2!1, X3!0)) = mult(mult(op_e, X2!1), X3!0))) | (~(mult(X2!1, mult(X3!0, op_e)) = mult(mult(X2!1, X3!0), op_e))) | (~(mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0)))))),
% 22.13/22.31      inference(rewrite,[status(thm)],[])).
% 22.13/22.31  tff(305,plain,
% 22.13/22.31      ((~((mult(op_e, mult(X2!1, X3!0)) = mult(mult(op_e, X2!1), X3!0)) & (mult(X2!1, mult(X3!0, op_e)) = mult(mult(X2!1, X3!0), op_e)) & (mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0)))) <=> (~(~((~(mult(op_e, mult(X2!1, X3!0)) = mult(mult(op_e, X2!1), X3!0))) | (~(mult(X2!1, mult(X3!0, op_e)) = mult(mult(X2!1, X3!0), op_e))) | (~(mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0))))))),
% 22.13/22.31      inference(monotonicity,[status(thm)],[304])).
% 22.13/22.31  tff(306,plain,
% 22.13/22.31      ((~((mult(op_e, mult(X2!1, X3!0)) = mult(mult(op_e, X2!1), X3!0)) & (mult(X2!1, mult(X3!0, op_e)) = mult(mult(X2!1, X3!0), op_e)) & (mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0)))) <=> ((~(mult(op_e, mult(X2!1, X3!0)) = mult(mult(op_e, X2!1), X3!0))) | (~(mult(X2!1, mult(X3!0, op_e)) = mult(mult(X2!1, X3!0), op_e))) | (~(mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0))))),
% 22.13/22.31      inference(transitivity,[status(thm)],[305, 303])).
% 22.13/22.32  tff(307,plain,
% 22.13/22.32      ((~![X2: $i, X3: $i] : ((mult(op_e, mult(X2, X3)) = mult(mult(op_e, X2), X3)) & (mult(X2, mult(X3, op_e)) = mult(mult(X2, X3), op_e)) & (mult(X2, mult(op_e, X3)) = mult(mult(X2, op_e), X3)))) <=> (~![X2: $i, X3: $i] : ((mult(op_e, mult(X2, X3)) = mult(mult(op_e, X2), X3)) & (mult(X2, mult(X3, op_e)) = mult(mult(X2, X3), op_e)) & (mult(X2, mult(op_e, X3)) = mult(mult(X2, op_e), X3))))),
% 22.13/22.32      inference(rewrite,[status(thm)],[])).
% 22.13/22.32  tff(308,plain,
% 22.13/22.32      ((~![X2: $i, X3: $i] : (((mult(op_e, mult(X2, X3)) = mult(mult(op_e, X2), X3)) & (mult(X2, mult(X3, op_e)) = mult(mult(X2, X3), op_e))) & (mult(X2, mult(op_e, X3)) = mult(mult(X2, op_e), X3)))) <=> (~![X2: $i, X3: $i] : ((mult(op_e, mult(X2, X3)) = mult(mult(op_e, X2), X3)) & (mult(X2, mult(X3, op_e)) = mult(mult(X2, X3), op_e)) & (mult(X2, mult(op_e, X3)) = mult(mult(X2, op_e), X3))))),
% 22.13/22.32      inference(rewrite,[status(thm)],[])).
% 22.13/22.32  tff(309,axiom,(~![X2: $i, X3: $i] : (((mult(op_e, mult(X2, X3)) = mult(mult(op_e, X2), X3)) & (mult(X2, mult(X3, op_e)) = mult(mult(X2, X3), op_e))) & (mult(X2, mult(op_e, X3)) = mult(mult(X2, op_e), X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 22.13/22.32  tff(310,plain,
% 22.13/22.32      (~![X2: $i, X3: $i] : ((mult(op_e, mult(X2, X3)) = mult(mult(op_e, X2), X3)) & (mult(X2, mult(X3, op_e)) = mult(mult(X2, X3), op_e)) & (mult(X2, mult(op_e, X3)) = mult(mult(X2, op_e), X3)))),
% 22.13/22.32      inference(modus_ponens,[status(thm)],[309, 308])).
% 22.13/22.32  tff(311,plain,
% 22.13/22.32      (~![X2: $i, X3: $i] : ((mult(op_e, mult(X2, X3)) = mult(mult(op_e, X2), X3)) & (mult(X2, mult(X3, op_e)) = mult(mult(X2, X3), op_e)) & (mult(X2, mult(op_e, X3)) = mult(mult(X2, op_e), X3)))),
% 22.13/22.32      inference(modus_ponens,[status(thm)],[310, 307])).
% 22.13/22.32  tff(312,plain,
% 22.13/22.32      (~![X2: $i, X3: $i] : ((mult(op_e, mult(X2, X3)) = mult(mult(op_e, X2), X3)) & (mult(X2, mult(X3, op_e)) = mult(mult(X2, X3), op_e)) & (mult(X2, mult(op_e, X3)) = mult(mult(X2, op_e), X3)))),
% 22.13/22.32      inference(modus_ponens,[status(thm)],[311, 307])).
% 22.13/22.32  tff(313,plain,
% 22.13/22.32      (~![X2: $i, X3: $i] : ((mult(op_e, mult(X2, X3)) = mult(mult(op_e, X2), X3)) & (mult(X2, mult(X3, op_e)) = mult(mult(X2, X3), op_e)) & (mult(X2, mult(op_e, X3)) = mult(mult(X2, op_e), X3)))),
% 22.13/22.32      inference(modus_ponens,[status(thm)],[312, 307])).
% 22.13/22.32  tff(314,plain,(
% 22.13/22.32      ~((mult(op_e, mult(X2!1, X3!0)) = mult(mult(op_e, X2!1), X3!0)) & (mult(X2!1, mult(X3!0, op_e)) = mult(mult(X2!1, X3!0), op_e)) & (mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0)))),
% 22.13/22.32      inference(skolemize,[status(sab)],[313])).
% 22.13/22.32  tff(315,plain,
% 22.13/22.32      ((~(mult(op_e, mult(X2!1, X3!0)) = mult(mult(op_e, X2!1), X3!0))) | (~(mult(X2!1, mult(X3!0, op_e)) = mult(mult(X2!1, X3!0), op_e))) | (~(mult(X2!1, mult(op_e, X3!0)) = mult(mult(X2!1, op_e), X3!0)))),
% 22.13/22.32      inference(modus_ponens,[status(thm)],[314, 306])).
% 22.13/22.32  tff(316,plain,
% 22.13/22.32      ($false),
% 22.13/22.32      inference(unit_resolution,[status(thm)],[315, 302, 286, 254])).
% 22.13/22.32  % SZS output end Proof
% 22.13/22.32  % E exiting
%------------------------------------------------------------------------------