%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TOP050-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:55:30 PM UTC 2026
% Result : Unsatisfiable 11.46s 2.31s
% Output : CNFRefutation 11.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 35
% Syntax : Number of formulae : 258 ( 258 unt; 0 def)
% Number of atoms : 258 ( 257 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 21 ( 21 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 32 con; 0-31 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : product(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle) ).
fof(f2,axiom,
! [X0,X1] : product(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_01) ).
fof(f3,axiom,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_02) ).
fof(f4,axiom,
product(a1,a31) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot) ).
fof(f5,axiom,
product(a2,a25) = a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_03) ).
fof(f6,axiom,
product(a3,a29) = a4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_04) ).
fof(f7,axiom,
product(a4,a11) = a5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_05) ).
fof(f8,axiom,
product(a5,a15) = a6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_06) ).
fof(f9,axiom,
product(a7,a19) = a8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_07) ).
fof(f10,axiom,
product(a8,a5) = a9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_08) ).
fof(f11,axiom,
product(a9,a17) = a10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_09) ).
fof(f12,axiom,
product(a10,a7) = a11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_10) ).
fof(f13,plain,
a11 = product(a10,a7),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
product(a11,a5) = a12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_11) ).
fof(f15,axiom,
product(a12,a19) = a13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_12) ).
fof(f16,axiom,
product(a13,a7) = a14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_13) ).
fof(f17,axiom,
product(a14,a17) = a15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_14) ).
fof(f18,plain,
a15 = product(a14,a17),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
product(a15,a5) = a16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_15) ).
fof(f20,axiom,
product(a16,a19) = a17,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_16) ).
fof(f21,plain,
a17 = product(a16,a19),
inference(reorient_equations,[],[f20]) ).
fof(f22,axiom,
product(a17,a9) = a18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_17) ).
fof(f23,axiom,
product(a18,a15) = a19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_18) ).
fof(f24,plain,
a19 = product(a18,a15),
inference(reorient_equations,[],[f23]) ).
fof(f25,axiom,
product(a19,a11) = a20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_19) ).
fof(f26,axiom,
product(a20,a29) = a21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_20) ).
fof(f27,axiom,
product(a21,a25) = a22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_21) ).
fof(f28,axiom,
product(a22,a31) = a23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_22) ).
fof(f29,axiom,
product(a23,a21) = a24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_23) ).
fof(f30,axiom,
product(a24,a3) = a25,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_24) ).
fof(f31,plain,
a25 = product(a24,a3),
inference(reorient_equations,[],[f30]) ).
fof(f32,axiom,
product(a25,a23) = a26,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_25) ).
fof(f33,axiom,
product(a26,a1) = a27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_26) ).
fof(f34,axiom,
product(a27,a21) = a28,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_27) ).
fof(f35,axiom,
product(a28,a3) = a29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_28) ).
fof(f36,plain,
a29 = product(a28,a3),
inference(reorient_equations,[],[f35]) ).
fof(f37,axiom,
product(a29,a1) = a30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_29) ).
fof(f38,axiom,
product(a30,a23) = a31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_30) ).
fof(f39,plain,
a31 = product(a30,a23),
inference(reorient_equations,[],[f38]) ).
fof(f40,axiom,
product(a31,a3) = a32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_31) ).
fof(f41,axiom,
product(a32,a21) = a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_32) ).
fof(f42,plain,
a1 = product(a32,a21),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
tcf(c_84,plain,
! [X0: $i] : product(X0,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] : product(product(X0,X1),X1) = X0,
inference(cnf_transformation,[],[f2]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] : product(product(X0,X1),product(X2,X1)) = product(product(X0,X2),X1),
inference(cnf_transformation,[],[f3]) ).
tcf(c_87,plain,
product(a1,a31) = a2,
inference(cnf_transformation,[],[f4]) ).
tcf(c_88,plain,
product(a2,a25) = a3,
inference(cnf_transformation,[],[f5]) ).
tcf(c_89,plain,
product(a3,a29) = a4,
inference(cnf_transformation,[],[f6]) ).
tcf(c_90,plain,
product(a4,a11) = a5,
inference(cnf_transformation,[],[f7]) ).
tcf(c_91,plain,
product(a5,a15) = a6,
inference(cnf_transformation,[],[f8]) ).
tcf(c_92,plain,
product(a7,a19) = a8,
inference(cnf_transformation,[],[f9]) ).
tcf(c_93,plain,
product(a8,a5) = a9,
inference(cnf_transformation,[],[f10]) ).
tcf(c_94,plain,
product(a9,a17) = a10,
inference(cnf_transformation,[],[f11]) ).
tcf(c_95,plain,
product(a10,a7) = a11,
inference(cnf_transformation,[],[f13]) ).
tcf(c_96,plain,
product(a11,a5) = a12,
inference(cnf_transformation,[],[f14]) ).
tcf(c_97,plain,
product(a12,a19) = a13,
inference(cnf_transformation,[],[f15]) ).
tcf(c_98,plain,
product(a13,a7) = a14,
inference(cnf_transformation,[],[f16]) ).
tcf(c_99,plain,
product(a14,a17) = a15,
inference(cnf_transformation,[],[f18]) ).
tcf(c_100,plain,
product(a15,a5) = a16,
inference(cnf_transformation,[],[f19]) ).
tcf(c_101,plain,
product(a16,a19) = a17,
inference(cnf_transformation,[],[f21]) ).
tcf(c_102,plain,
product(a17,a9) = a18,
inference(cnf_transformation,[],[f22]) ).
tcf(c_103,plain,
product(a18,a15) = a19,
inference(cnf_transformation,[],[f24]) ).
tcf(c_104,plain,
product(a19,a11) = a20,
inference(cnf_transformation,[],[f25]) ).
tcf(c_105,plain,
product(a20,a29) = a21,
inference(cnf_transformation,[],[f26]) ).
tcf(c_106,plain,
product(a21,a25) = a22,
inference(cnf_transformation,[],[f27]) ).
tcf(c_107,plain,
product(a22,a31) = a23,
inference(cnf_transformation,[],[f28]) ).
tcf(c_108,plain,
product(a23,a21) = a24,
inference(cnf_transformation,[],[f29]) ).
tcf(c_109,plain,
product(a24,a3) = a25,
inference(cnf_transformation,[],[f31]) ).
tcf(c_110,plain,
product(a25,a23) = a26,
inference(cnf_transformation,[],[f32]) ).
tcf(c_111,plain,
product(a26,a1) = a27,
inference(cnf_transformation,[],[f33]) ).
tcf(c_112,plain,
product(a27,a21) = a28,
inference(cnf_transformation,[],[f34]) ).
tcf(c_113,plain,
product(a28,a3) = a29,
inference(cnf_transformation,[],[f36]) ).
tcf(c_114,plain,
product(a29,a1) = a30,
inference(cnf_transformation,[],[f37]) ).
tcf(c_115,plain,
product(a30,a23) = a31,
inference(cnf_transformation,[],[f39]) ).
tcf(c_116,plain,
product(a31,a3) = a32,
inference(cnf_transformation,[],[f40]) ).
tcf(c_117,plain,
product(a32,a21) = a1,
inference(cnf_transformation,[],[f42]) ).
tcf(c_118,negated_conjecture,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(cnf_transformation,[],[f43]) ).
tcf(c_352,plain,
product(a3,a25) = a2,
inference(superposition,[status(thm)],[c_88,c_85]) ).
tcf(c_354,plain,
product(a5,a11) = a4,
inference(superposition,[status(thm)],[c_90,c_85]) ).
tcf(c_356,plain,
product(a8,a19) = a7,
inference(superposition,[status(thm)],[c_92,c_85]) ).
tcf(c_358,plain,
product(a10,a17) = a9,
inference(superposition,[status(thm)],[c_94,c_85]) ).
tcf(c_359,plain,
product(a11,a7) = a10,
inference(superposition,[status(thm)],[c_95,c_85]) ).
tcf(c_360,plain,
product(a12,a5) = a11,
inference(superposition,[status(thm)],[c_96,c_85]) ).
tcf(c_363,plain,
product(a15,a17) = a14,
inference(superposition,[status(thm)],[c_99,c_85]) ).
tcf(c_364,plain,
product(a16,a5) = a15,
inference(superposition,[status(thm)],[c_100,c_85]) ).
tcf(c_366,plain,
product(a18,a9) = a17,
inference(superposition,[status(thm)],[c_102,c_85]) ).
tcf(c_367,plain,
product(a19,a15) = a18,
inference(superposition,[status(thm)],[c_103,c_85]) ).
tcf(c_368,plain,
product(a20,a11) = a19,
inference(superposition,[status(thm)],[c_104,c_85]) ).
tcf(c_369,plain,
product(a21,a29) = a20,
inference(superposition,[status(thm)],[c_105,c_85]) ).
tcf(c_370,plain,
product(a22,a25) = a21,
inference(superposition,[status(thm)],[c_106,c_85]) ).
tcf(c_371,plain,
product(a23,a31) = a22,
inference(superposition,[status(thm)],[c_107,c_85]) ).
tcf(c_372,plain,
product(a24,a21) = a23,
inference(superposition,[status(thm)],[c_108,c_85]) ).
tcf(c_373,plain,
product(a25,a3) = a24,
inference(superposition,[status(thm)],[c_109,c_85]) ).
tcf(c_374,plain,
product(a26,a23) = a25,
inference(superposition,[status(thm)],[c_110,c_85]) ).
tcf(c_375,plain,
product(a27,a1) = a26,
inference(superposition,[status(thm)],[c_111,c_85]) ).
tcf(c_376,plain,
product(a28,a21) = a27,
inference(superposition,[status(thm)],[c_112,c_85]) ).
tcf(c_378,plain,
product(a30,a1) = a29,
inference(superposition,[status(thm)],[c_114,c_85]) ).
tcf(c_379,plain,
product(a31,a23) = a30,
inference(superposition,[status(thm)],[c_115,c_85]) ).
tcf(c_380,plain,
product(a32,a3) = a31,
inference(superposition,[status(thm)],[c_116,c_85]) ).
tcf(c_381,plain,
product(a1,a21) = a32,
inference(superposition,[status(thm)],[c_117,c_85]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i] : product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(superposition,[status(thm)],[c_84,c_86]) ).
tcf(c_395,plain,
! [X0: $i] : product(product(a1,X0),a31) = product(a2,product(X0,a31)),
inference(superposition,[status(thm)],[c_87,c_86]) ).
tcf(c_404,plain,
! [X0: $i] : product(product(a11,X0),a5) = product(a12,product(X0,a5)),
inference(superposition,[status(thm)],[c_96,c_86]) ).
tcf(c_420,plain,
! [X0: $i] : product(product(a27,X0),a21) = product(a28,product(X0,a21)),
inference(superposition,[status(thm)],[c_112,c_86]) ).
tcf(c_421,plain,
! [X0: $i] : product(product(a28,X0),a3) = product(a29,product(X0,a3)),
inference(superposition,[status(thm)],[c_113,c_86]) ).
tcf(c_437,plain,
! [X0: $i] : product(product(X0,a1),a31) = product(product(X0,a31),a2),
inference(superposition,[status(thm)],[c_87,c_86]) ).
tcf(c_438,plain,
! [X0: $i] : product(product(X0,a2),a25) = product(product(X0,a25),a3),
inference(superposition,[status(thm)],[c_88,c_86]) ).
tcf(c_458,plain,
! [X0: $i] : product(product(X0,a21),a24) = product(product(X0,a23),a21),
inference(superposition,[status(thm)],[c_108,c_86]) ).
tcf(c_816,plain,
! [X0: $i] : product(product(X0,a25),a3) = product(product(X0,a3),a24),
inference(superposition,[status(thm)],[c_373,c_86]) ).
tcf(c_876,plain,
! [X0: $i] : product(product(X0,a1),a21) = product(product(X0,a21),a32),
inference(superposition,[status(thm)],[c_381,c_86]) ).
tcf(c_895,plain,
product(a9,product(a17,a9)) = product(a10,a9),
inference(superposition,[status(thm)],[c_94,c_392]) ).
tcf(c_896,plain,
product(a10,product(a7,a10)) = product(a11,a10),
inference(superposition,[status(thm)],[c_95,c_392]) ).
tcf(c_947,plain,
product(a31,product(a23,a31)) = product(a30,a31),
inference(superposition,[status(thm)],[c_379,c_392]) ).
tcf(c_958,plain,
product(a31,a22) = product(a30,a31),
inference(light_normalisation,[status(thm)],[c_947,c_371]) ).
tcf(c_967,plain,
product(a9,a18) = product(a10,a9),
inference(light_normalisation,[status(thm)],[c_895,c_102]) ).
tcf(c_1324,plain,
! [X0: $i] : product(product(a2,product(X0,a31)),product(a1,X0)) = product(product(a1,X0),product(a31,product(a1,X0))),
inference(superposition,[status(thm)],[c_395,c_392]) ).
tcf(c_3389,plain,
product(a28,product(a1,a21)) = product(a26,a21),
inference(superposition,[status(thm)],[c_375,c_420]) ).
tcf(c_3398,plain,
product(a26,a21) = product(a28,a32),
inference(light_normalisation,[status(thm)],[c_3389,c_381]) ).
tcf(c_3431,plain,
product(product(a26,a21),a32) = a28,
inference(superposition,[status(thm)],[c_3398,c_85]) ).
tcf(c_3448,plain,
product(product(a26,a21),a3) = product(a29,product(a32,a3)),
inference(superposition,[status(thm)],[c_3398,c_421]) ).
tcf(c_3456,plain,
product(product(a26,a21),a3) = product(a29,a31),
inference(light_normalisation,[status(thm)],[c_3448,c_380]) ).
tcf(c_4222,plain,
product(product(a29,a31),a2) = product(a30,a31),
inference(superposition,[status(thm)],[c_114,c_437]) ).
tcf(c_4237,plain,
product(product(a29,a31),a2) = product(a31,a22),
inference(light_normalisation,[status(thm)],[c_4222,c_958]) ).
tcf(c_4305,plain,
! [X0: $i] : product(product(X0,a2),a25) = product(product(X0,a3),a24),
inference(light_normalisation,[status(thm)],[c_438,c_816]) ).
tcf(c_4319,plain,
! [X0: $i] : product(product(product(X0,a3),a24),a25) = product(X0,a2),
inference(superposition,[status(thm)],[c_4305,c_85]) ).
tcf(c_5642,plain,
product(product(a25,a21),a24) = product(a26,a21),
inference(superposition,[status(thm)],[c_110,c_458]) ).
tcf(c_5644,plain,
product(product(a26,a21),a24) = product(a25,a21),
inference(superposition,[status(thm)],[c_374,c_458]) ).
tcf(c_5645,plain,
product(product(a31,a21),a24) = product(a30,a21),
inference(superposition,[status(thm)],[c_379,c_458]) ).
tcf(c_10705,plain,
product(product(a30,a21),a32) = product(a29,a21),
inference(superposition,[status(thm)],[c_378,c_876]) ).
tcf(c_11559,plain,
! [X0: $i] : product(product(X0,a3),a2) = product(product(X0,a24),a25),
inference(superposition,[status(thm)],[c_85,c_4319]) ).
tcf(c_13833,plain,
product(product(product(a26,a21),a3),a2) = product(product(a25,a21),a25),
inference(superposition,[status(thm)],[c_5644,c_11559]) ).
tcf(c_13855,plain,
product(product(a25,a21),a25) = product(a31,a22),
inference(light_normalisation,[status(thm)],[c_13833,c_3456,c_4237]) ).
tcf(c_14010,plain,
product(a31,a22) = product(a25,a22),
inference(demodulation,[status(thm)],[c_13855,c_106,c_392]) ).
tcf(c_14016,plain,
product(product(a31,a22),a22) = a25,
inference(superposition,[status(thm)],[c_14010,c_85]) ).
tcf(c_14061,plain,
a31 = a25,
inference(demodulation,[status(thm)],[c_14016,c_85]) ).
tcf(c_14089,plain,
product(product(a31,a21),a24) = product(a26,a21),
inference(demodulation,[status(thm)],[c_5642,c_14061]) ).
tcf(c_14112,plain,
product(a31,a3) = a24,
inference(demodulation,[status(thm)],[c_373,c_14061]) ).
tcf(c_14113,plain,
product(a22,a31) = a21,
inference(demodulation,[status(thm)],[c_370,c_14061]) ).
tcf(c_14114,plain,
product(a3,a31) = a2,
inference(demodulation,[status(thm)],[c_352,c_14061]) ).
tcf(c_14115,plain,
product(a31,a23) = a26,
inference(demodulation,[status(thm)],[c_110,c_14061]) ).
tcf(c_14116,plain,
product(a24,a3) = a31,
inference(demodulation,[status(thm)],[c_109,c_14061]) ).
tcf(c_14118,plain,
product(a2,a31) = a3,
inference(demodulation,[status(thm)],[c_88,c_14061]) ).
tcf(c_14119,plain,
tuple(a1,a30,a31,a2,a24,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(demodulation,[status(thm)],[c_118,c_14061]) ).
tcf(c_14145,plain,
product(a26,a21) = product(a30,a21),
inference(demodulation,[status(thm)],[c_5645,c_14089]) ).
tcf(c_14147,plain,
product(product(a26,a21),a32) = product(a29,a21),
inference(demodulation,[status(thm)],[c_10705,c_14145]) ).
tcf(c_14150,plain,
product(a29,a21) = a28,
inference(light_normalisation,[status(thm)],[c_14147,c_3431]) ).
tcf(c_14166,plain,
a24 = a32,
inference(demodulation,[status(thm)],[c_116,c_14112]) ).
tcf(c_14184,plain,
product(a24,a21) = a1,
inference(demodulation,[status(thm)],[c_117,c_14166]) ).
tcf(c_14185,plain,
a1 = a23,
inference(light_normalisation,[status(thm)],[c_14184,c_372]) ).
tcf(c_14206,plain,
product(a30,a23) = a29,
inference(demodulation,[status(thm)],[c_378,c_14185]) ).
tcf(c_14211,plain,
product(a23,a31) = a2,
inference(demodulation,[status(thm)],[c_87,c_14185]) ).
tcf(c_14212,plain,
a2 = a22,
inference(demodulation,[status(thm)],[c_371,c_14211]) ).
tcf(c_14226,plain,
product(a2,a31) = a23,
inference(demodulation,[status(thm)],[c_107,c_14212]) ).
tcf(c_14229,plain,
a31 = a29,
inference(light_normalisation,[status(thm)],[c_14206,c_115]) ).
tcf(c_14259,plain,
product(a21,a31) = a20,
inference(demodulation,[status(thm)],[c_369,c_14229]) ).
tcf(c_14261,plain,
product(a28,a3) = a31,
inference(demodulation,[status(thm)],[c_113,c_14229]) ).
tcf(c_14263,plain,
product(a3,a31) = a4,
inference(demodulation,[status(thm)],[c_89,c_14229]) ).
tcf(c_14272,plain,
a26 = a30,
inference(demodulation,[status(thm)],[c_379,c_14115]) ).
tcf(c_14338,plain,
tuple(a2,a31,a24,a3,a31,a26,a4,a31,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a2,a23,a24,a27,a28) != tuple(a23,a26,a31,a2,a24,a31,a3,a28,a31,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a2,a23,a26,a27),
inference(light_normalisation,[status(thm)],[c_14119,c_14166,c_14185,c_14212,c_14229,c_14272]) ).
tcf(c_14352,plain,
a3 = a21,
inference(light_normalisation,[status(thm)],[c_14113,c_14118,c_14212]) ).
tcf(c_14353,plain,
tuple(a2,a31,a24,a3,a31,a26,a4,a31,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a2,a23,a24,a27,a28) != tuple(a23,a26,a31,a2,a24,a31,a3,a28,a31,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a2,a23,a26,a27),
inference(demodulation,[status(thm)],[c_14338,c_14352]) ).
tcf(c_14366,plain,
product(a28,a3) = a27,
inference(demodulation,[status(thm)],[c_376,c_14352]) ).
tcf(c_14367,plain,
product(a24,a3) = a23,
inference(demodulation,[status(thm)],[c_372,c_14352]) ).
tcf(c_14370,plain,
a31 = a23,
inference(light_normalisation,[status(thm)],[c_14367,c_14116]) ).
tcf(c_14371,plain,
a31 = a27,
inference(light_normalisation,[status(thm)],[c_14366,c_14261]) ).
tcf(c_14379,plain,
a1 = a31,
inference(demodulation,[status(thm)],[c_14185,c_14370]) ).
tcf(c_14452,plain,
product(a31,a31) = a26,
inference(light_normalisation,[status(thm)],[c_14115,c_14370]) ).
tcf(c_14453,plain,
a31 = a26,
inference(demodulation,[status(thm)],[c_14452,c_84]) ).
tcf(c_14461,plain,
tuple(a31,a31,a31,a2,a24,a31,a3,a28,a31,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a2,a31,a31,a31) != tuple(a2,a31,a24,a3,a31,a31,a4,a31,a31,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a2,a31,a24,a31,a28),
inference(light_normalisation,[status(thm)],[c_14353,c_14370,c_14371,c_14453]) ).
tcf(c_14467,plain,
a24 = a28,
inference(light_normalisation,[status(thm)],[c_14150,c_14112,c_14229,c_14352]) ).
tcf(c_14468,plain,
tuple(a31,a31,a31,a2,a24,a31,a3,a24,a31,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a2,a31,a31,a31) != tuple(a2,a31,a24,a3,a31,a31,a4,a31,a31,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a2,a31,a24,a31,a24),
inference(demodulation,[status(thm)],[c_14461,c_14467]) ).
tcf(c_14475,plain,
! [X0: $i] : product(product(a2,product(X0,a31)),product(a31,X0)) = product(product(a31,X0),product(a31,product(a31,X0))),
inference(light_normalisation,[status(thm)],[c_1324,c_14379]) ).
tcf(c_14482,plain,
product(product(a2,a31),a31) = a31,
inference(superposition,[status(thm)],[c_84,c_14475]) ).
tcf(c_14489,plain,
a31 = a2,
inference(light_normalisation,[status(thm)],[c_14482,c_14114,c_14118]) ).
tcf(c_14494,plain,
tuple(a31,a31,a31,a31,a24,a31,a3,a24,a31,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a31,a31,a31,a31) != tuple(a31,a31,a24,a3,a31,a31,a4,a31,a31,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a31,a31,a24,a31,a24),
inference(demodulation,[status(thm)],[c_14468,c_14489]) ).
tcf(c_14495,plain,
product(a31,a31) = a3,
inference(demodulation,[status(thm)],[c_14118,c_14489]) ).
tcf(c_14496,plain,
product(a3,a31) = a31,
inference(demodulation,[status(thm)],[c_14114,c_14489]) ).
tcf(c_14531,plain,
a31 = a3,
inference(light_normalisation,[status(thm)],[c_14211,c_14370,c_14489,c_14495]) ).
tcf(c_14533,plain,
a2 = a3,
inference(demodulation,[status(thm)],[c_14489,c_14531]) ).
tcf(c_14539,plain,
a3 = a23,
inference(demodulation,[status(thm)],[c_14370,c_14531]) ).
tcf(c_14540,plain,
product(a3,a3) = a24,
inference(demodulation,[status(thm)],[c_14112,c_14531]) ).
tcf(c_14543,plain,
tuple(a3,a3,a3,a3,a24,a3,a3,a24,a3,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a3,a3,a3,a3) != tuple(a3,a3,a24,a3,a3,a3,a4,a3,a3,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a3,a3,a24,a3,a24),
inference(light_normalisation,[status(thm)],[c_14494,c_14531]) ).
tcf(c_14544,plain,
a3 = a24,
inference(light_normalisation,[status(thm)],[c_14226,c_14531,c_14533,c_14539,c_14540]) ).
tcf(c_14545,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a4,a3,a3,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_14543,c_14544]) ).
tcf(c_14550,plain,
a3 = a20,
inference(light_normalisation,[status(thm)],[c_14259,c_14352,c_14531,c_14540,c_14544]) ).
tcf(c_14551,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a4,a3,a3,a5,a11,a12,a6,a15,a16,a7,a8,a19,a3,a9,a10,a17,a18,a13,a14,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_14545,c_14550]) ).
tcf(c_14563,plain,
product(a3,a11) = a19,
inference(demodulation,[status(thm)],[c_368,c_14550]) ).
tcf(c_14572,plain,
a3 = a4,
inference(light_normalisation,[status(thm)],[c_14263,c_14496,c_14531]) ).
tcf(c_14587,plain,
product(a5,a11) = a3,
inference(demodulation,[status(thm)],[c_354,c_14572]) ).
tcf(c_14588,plain,
product(a3,a11) = a5,
inference(demodulation,[status(thm)],[c_90,c_14572]) ).
tcf(c_14603,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a6,a15,a16,a7,a8,a19,a3,a9,a10,a17,a18,a13,a14,a3,a3,a3,a3,a3,a3),
inference(light_normalisation,[status(thm)],[c_14551,c_14572]) ).
tcf(c_14612,plain,
a5 = a19,
inference(light_normalisation,[status(thm)],[c_14563,c_14588]) ).
tcf(c_14613,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a10,a11,a5,a14,a15,a6,a7,a18,a5,a8,a9,a16,a17,a12,a13,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a6,a15,a16,a7,a8,a5,a3,a9,a10,a17,a18,a13,a14,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_14603,c_14612]) ).
tcf(c_14665,plain,
product(a5,a15) = a18,
inference(demodulation,[status(thm)],[c_367,c_14612]) ).
tcf(c_14668,plain,
product(a8,a5) = a7,
inference(demodulation,[status(thm)],[c_356,c_14612]) ).
tcf(c_14669,plain,
product(a18,a15) = a5,
inference(demodulation,[status(thm)],[c_103,c_14612]) ).
tcf(c_14670,plain,
product(a16,a5) = a17,
inference(demodulation,[status(thm)],[c_101,c_14612]) ).
tcf(c_14671,plain,
product(a12,a5) = a13,
inference(demodulation,[status(thm)],[c_97,c_14612]) ).
tcf(c_14672,plain,
product(a7,a5) = a8,
inference(demodulation,[status(thm)],[c_92,c_14612]) ).
tcf(c_14673,plain,
a11 = a13,
inference(light_normalisation,[status(thm)],[c_14671,c_360]) ).
tcf(c_14674,plain,
a15 = a17,
inference(light_normalisation,[status(thm)],[c_14670,c_364]) ).
tcf(c_14700,plain,
a6 = a18,
inference(demodulation,[status(thm)],[c_91,c_14665]) ).
tcf(c_14716,plain,
a7 = a9,
inference(demodulation,[status(thm)],[c_93,c_14668]) ).
tcf(c_14734,plain,
product(a7,a18) = product(a10,a7),
inference(demodulation,[status(thm)],[c_967,c_14716]) ).
tcf(c_14735,plain,
product(a18,a7) = a17,
inference(demodulation,[status(thm)],[c_366,c_14716]) ).
tcf(c_14736,plain,
product(a10,a17) = a7,
inference(demodulation,[status(thm)],[c_358,c_14716]) ).
tcf(c_14742,plain,
product(a7,a18) = a11,
inference(light_normalisation,[status(thm)],[c_14734,c_95]) ).
tcf(c_14752,plain,
product(a11,a7) = a14,
inference(demodulation,[status(thm)],[c_98,c_14673]) ).
tcf(c_14753,plain,
a10 = a14,
inference(light_normalisation,[status(thm)],[c_14752,c_359]) ).
tcf(c_14761,plain,
product(a15,a17) = a10,
inference(demodulation,[status(thm)],[c_363,c_14753]) ).
tcf(c_14762,plain,
product(a10,a17) = a15,
inference(demodulation,[status(thm)],[c_99,c_14753]) ).
tcf(c_14817,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a10,a11,a5,a10,a15,a18,a7,a18,a5,a8,a7,a16,a15,a12,a11,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a18,a15,a16,a7,a8,a5,a3,a7,a10,a15,a18,a11,a10,a3,a3,a3,a3,a3,a3),
inference(light_normalisation,[status(thm)],[c_14613,c_14673,c_14674,c_14700,c_14716,c_14753]) ).
tcf(c_14843,plain,
product(a18,a7) = a15,
inference(light_normalisation,[status(thm)],[c_14735,c_14674]) ).
tcf(c_14846,plain,
product(a15,a7) = a18,
inference(superposition,[status(thm)],[c_14843,c_85]) ).
tcf(c_14853,plain,
product(a10,a15) = a7,
inference(light_normalisation,[status(thm)],[c_14736,c_14674]) ).
tcf(c_14856,plain,
product(a7,a15) = a10,
inference(superposition,[status(thm)],[c_14853,c_85]) ).
tcf(c_14868,plain,
product(a11,a18) = a7,
inference(superposition,[status(thm)],[c_14742,c_85]) ).
tcf(c_14875,plain,
product(a15,a15) = a10,
inference(light_normalisation,[status(thm)],[c_14761,c_14674]) ).
tcf(c_14876,plain,
a15 = a10,
inference(demodulation,[status(thm)],[c_14875,c_84]) ).
tcf(c_14878,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a15,a11,a5,a15,a15,a18,a7,a18,a5,a8,a7,a16,a15,a12,a11,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a18,a15,a16,a7,a8,a5,a3,a7,a15,a15,a18,a11,a15,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_14817,c_14876]) ).
tcf(c_14886,plain,
product(a15,product(a7,a15)) = product(a11,a15),
inference(demodulation,[status(thm)],[c_896,c_14876]) ).
tcf(c_14887,plain,
product(a11,a7) = a15,
inference(demodulation,[status(thm)],[c_359,c_14876]) ).
tcf(c_14888,plain,
product(a15,a7) = a11,
inference(demodulation,[status(thm)],[c_95,c_14876]) ).
tcf(c_14889,plain,
product(a11,a15) = product(a15,a15),
inference(light_normalisation,[status(thm)],[c_14886,c_14856,c_14876]) ).
tcf(c_14894,plain,
product(a11,a15) = a15,
inference(light_normalisation,[status(thm)],[c_14762,c_14674,c_14876,c_14889]) ).
tcf(c_14900,plain,
product(a12,product(a15,a5)) = product(a15,a5),
inference(superposition,[status(thm)],[c_14894,c_404]) ).
tcf(c_14901,plain,
product(a12,a16) = a16,
inference(light_normalisation,[status(thm)],[c_14900,c_100]) ).
tcf(c_14905,plain,
a11 = a18,
inference(light_normalisation,[status(thm)],[c_14846,c_14888]) ).
tcf(c_14906,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a15,a11,a5,a15,a15,a11,a7,a11,a5,a8,a7,a16,a15,a12,a11,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a11,a15,a16,a7,a8,a5,a3,a7,a15,a15,a11,a11,a15,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_14878,c_14905]) ).
tcf(c_14909,plain,
product(a11,a15) = a5,
inference(demodulation,[status(thm)],[c_14669,c_14905]) ).
tcf(c_14912,plain,
a5 = a15,
inference(demodulation,[status(thm)],[c_14894,c_14909]) ).
tcf(c_14914,plain,
a5 = a10,
inference(demodulation,[status(thm)],[c_14876,c_14912]) ).
tcf(c_14921,plain,
product(a16,a5) = a5,
inference(demodulation,[status(thm)],[c_364,c_14912]) ).
tcf(c_14927,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a5,a5,a5,a11,a7,a11,a5,a8,a7,a16,a5,a12,a11,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a11,a5,a16,a7,a8,a5,a3,a7,a5,a5,a11,a11,a5,a3,a3,a3,a3,a3,a3),
inference(light_normalisation,[status(thm)],[c_14906,c_14912]) ).
tcf(c_14949,plain,
a5 = a8,
inference(light_normalisation,[status(thm)],[c_14856,c_14672,c_14912,c_14914]) ).
tcf(c_14950,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a5,a5,a5,a11,a7,a11,a5,a5,a7,a16,a5,a12,a11,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a11,a12,a11,a5,a16,a7,a5,a5,a3,a7,a5,a5,a11,a11,a5,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_14927,c_14949]) ).
tcf(c_14952,plain,
product(a5,a5) = a7,
inference(demodulation,[status(thm)],[c_14668,c_14949]) ).
tcf(c_14953,plain,
product(a11,a11) = a7,
inference(light_normalisation,[status(thm)],[c_14868,c_14905]) ).
tcf(c_14954,plain,
a11 = a7,
inference(demodulation,[status(thm)],[c_14953,c_84]) ).
tcf(c_14957,plain,
product(a11,a11) = a5,
inference(light_normalisation,[status(thm)],[c_14887,c_14912,c_14954]) ).
tcf(c_14958,plain,
a11 = a5,
inference(demodulation,[status(thm)],[c_14957,c_84]) ).
tcf(c_14960,plain,
a5 = a7,
inference(demodulation,[status(thm)],[c_14954,c_14958]) ).
tcf(c_14964,plain,
product(a5,a5) = a3,
inference(demodulation,[status(thm)],[c_14587,c_14958]) ).
tcf(c_14970,plain,
product(a5,a5) = a12,
inference(demodulation,[status(thm)],[c_96,c_14958]) ).
tcf(c_14971,plain,
a7 = a12,
inference(light_normalisation,[status(thm)],[c_14970,c_14952]) ).
tcf(c_14975,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a5,a5,a5,a5,a5,a5,a5,a5,a5,a5,a16,a5,a5,a5,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a5,a5,a5,a5,a5,a16,a5,a5,a5,a3,a5,a5,a5,a5,a5,a5,a3,a3,a3,a3,a3,a3),
inference(light_normalisation,[status(thm)],[c_14950,c_14958,c_14960,c_14971]) ).
tcf(c_14976,plain,
a5 = a12,
inference(light_normalisation,[status(thm)],[c_14971,c_14960]) ).
tcf(c_14977,plain,
a3 = a5,
inference(light_normalisation,[status(thm)],[c_14888,c_14912,c_14958,c_14960,c_14964]) ).
tcf(c_14978,plain,
a3 = a12,
inference(demodulation,[status(thm)],[c_14976,c_14977]) ).
tcf(c_14982,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a16,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a16,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_14975,c_14977]) ).
tcf(c_15003,plain,
product(a3,a16) = a16,
inference(light_normalisation,[status(thm)],[c_14901,c_14978]) ).
tcf(c_15006,plain,
product(a16,a16) = a3,
inference(superposition,[status(thm)],[c_15003,c_85]) ).
tcf(c_15014,plain,
product(a16,a3) = a3,
inference(light_normalisation,[status(thm)],[c_14921,c_14977]) ).
tcf(c_15015,plain,
product(a16,product(a3,a16)) = product(a3,a16),
inference(superposition,[status(thm)],[c_15014,c_392]) ).
tcf(c_15019,plain,
a3 = a16,
inference(light_normalisation,[status(thm)],[c_15015,c_15003,c_15006]) ).
tcf(c_15022,plain,
tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3) != tuple(a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3,a3),
inference(demodulation,[status(thm)],[c_14982,c_15019]) ).
tcf(c_15023,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_15022]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP050-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Fri Sep 25 04:19:47 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.41 Running UEQ theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43
% 0.15/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.43
% 0.15/0.43 % Detected problem language: tptp
% 0.15/0.45 % Proving...
% 11.46/2.31 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 11.46/2.31 % SZS status Started for theBenchmark.p
% 11.46/2.31 % SZS status Unsatisfiable for theBenchmark.p
% 11.46/2.31
% 11.46/2.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 11.46/2.31
% 11.46/2.31 % ------ iProver source info
% 11.46/2.31
% 11.46/2.31 % git: date: 2026-07-19 20:42:38 +0200
% 11.46/2.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 11.46/2.31 % git: non_committed_changes: false
% 11.46/2.31
% 11.46/2.31 % ------ Parsing...% successful
% 11.46/2.31
% 11.46/2.31
% 11.46/2.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 11.46/2.31
% 11.46/2.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 11.46/2.31
% 11.46/2.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 11.46/2.31
% 11.46/2.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.46/2.31 % ------ Proving...
% 11.46/2.31 % ------ Problem Properties
% 11.46/2.31
% 11.46/2.31 %
% 11.46/2.31 % clauses 35
% 11.46/2.31 % conjectures 1
% 11.46/2.31 % EPR 0
% 11.46/2.31 % Horn 35
% 11.46/2.31 % unary 35
% 11.46/2.31 % binary 0
% 11.46/2.31 % lits 35
% 11.46/2.31 % lits eq 35
% 11.46/2.31 % fd_pure 0
% 11.46/2.31 % fd_pseudo 0
% 11.46/2.31 % fd_cond 0
% 11.46/2.31 % fd_pseudo_cond 0
% 11.46/2.31 % AC symbols 0
% 11.46/2.31
% 11.46/2.31 % ------ Input Options Time Limit: Unbounded
% 11.46/2.31
% 11.46/2.31
% 11.46/2.31 % ------
% 11.46/2.31 % Current options:
% 11.46/2.31 % ------
% 11.46/2.31
% 11.46/2.31
% 11.46/2.31 %
% 11.46/2.31
% 11.46/2.31 % ------ Proving...
% 11.46/2.31 %
% 11.46/2.31
% 11.46/2.31 % SZS status Unsatisfiable for theBenchmark.p
% 11.46/2.31
% 11.46/2.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.46/2.32
% 11.46/2.32
%------------------------------------------------------------------------------