%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LDA002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n026.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 02:10:56 PM UTC 2026
% Result : Unsatisfiable 8.29s 1.91s
% Output : CNFRefutation 8.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 25
% Syntax : Number of formulae : 130 ( 130 unt; 13 def)
% Number of atoms : 442 ( 129 equ)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(f2,axiom,
n2 = f(n1,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,axiom,
n3 = f(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,axiom,
u = f(n2,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,axiom,
u1 = f(u,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,axiom,
u2 = f(u,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,axiom,
u3 = f(u,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,axiom,
uu = f(u,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,axiom,
a = f(f(n3,n2),u2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f10,axiom,
b = f(u1,u3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f11,axiom,
v = f(uu,uu),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f12,negated_conjecture,
f(a,v) != f(b,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,X1),f(X0,X2)) = f(X0,f(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_62,plain,
f(n1,n1) = n2,
inference(cnf_transformation,[],[f2]) ).
tcf(c_63,plain,
f(n2,n1) = n3,
inference(cnf_transformation,[],[f3]) ).
tcf(c_64,plain,
f(n2,n2) = u,
inference(cnf_transformation,[],[f4]) ).
tcf(c_65,plain,
f(u,n1) = u1,
inference(cnf_transformation,[],[f5]) ).
tcf(c_66,plain,
f(u,n2) = u2,
inference(cnf_transformation,[],[f6]) ).
tcf(c_67,plain,
f(u,n3) = u3,
inference(cnf_transformation,[],[f7]) ).
tcf(c_68,plain,
f(u,u) = uu,
inference(cnf_transformation,[],[f8]) ).
tcf(c_69,plain,
f(f(n3,n2),u2) = a,
inference(cnf_transformation,[],[f9]) ).
tcf(c_70,plain,
f(u1,u3) = b,
inference(cnf_transformation,[],[f10]) ).
tcf(c_71,plain,
f(uu,uu) = v,
inference(cnf_transformation,[],[f11]) ).
tcf(c_72,negated_conjecture,
f(a,v) != f(b,v),
inference(cnf_transformation,[],[f12]) ).
tcf(c_101,definition,
iPr_def_10 = f(a,v),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_102,definition,
iPr_def_11 = f(b,v),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_103,definition,
iPr_def_12 = f(uu,uu),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_104,definition,
iPr_def_13 = f(u1,u3),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_105,definition,
iPr_def_14 = f(n3,n2),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_106,definition,
iPr_def_15 = f(iPr_def_14,u2),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_107,definition,
iPr_def_16 = f(u,u),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_108,definition,
iPr_def_17 = f(u,n3),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_109,definition,
iPr_def_18 = f(u,n2),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_110,definition,
iPr_def_19 = f(u,n1),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_111,definition,
iPr_def_20 = f(n2,n2),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_112,definition,
iPr_def_21 = f(n2,n1),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_113,definition,
iPr_def_22 = f(n1,n1),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_114,negated_conjecture,
iPr_def_10 != iPr_def_11,
inference(demodulation,[status(thm)],[c_72,c_102,c_101]) ).
tcf(c_115,plain,
iPr_def_12 = v,
inference(demodulation,[status(thm)],[c_71,c_103]) ).
tcf(c_116,plain,
iPr_def_13 = b,
inference(demodulation,[status(thm)],[c_70,c_104]) ).
tcf(c_117,plain,
iPr_def_15 = a,
inference(demodulation,[status(thm)],[c_69,c_105,c_106]) ).
tcf(c_118,plain,
iPr_def_16 = uu,
inference(demodulation,[status(thm)],[c_68,c_107]) ).
tcf(c_119,plain,
iPr_def_17 = u3,
inference(demodulation,[status(thm)],[c_67,c_108]) ).
tcf(c_120,plain,
iPr_def_18 = u2,
inference(demodulation,[status(thm)],[c_66,c_109]) ).
tcf(c_121,plain,
iPr_def_19 = u1,
inference(demodulation,[status(thm)],[c_65,c_110]) ).
tcf(c_122,plain,
iPr_def_20 = u,
inference(demodulation,[status(thm)],[c_64,c_111]) ).
tcf(c_123,plain,
iPr_def_21 = n3,
inference(demodulation,[status(thm)],[c_63,c_112]) ).
tcf(c_124,plain,
iPr_def_22 = n2,
inference(demodulation,[status(thm)],[c_62,c_113]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] : f(f(X0,X1),f(X0,X2)) = f(X0,f(X1,X2)),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_195,plain,
f(iPr_def_15,iPr_def_12) = iPr_def_10,
inference(demodulation,[status(thm)],[c_101,c_115,c_117]) ).
tcf(c_196,plain,
f(iPr_def_13,iPr_def_12) = iPr_def_11,
inference(demodulation,[status(thm)],[c_102,c_115,c_116]) ).
tcf(c_197,plain,
f(iPr_def_16,iPr_def_16) = iPr_def_12,
inference(demodulation,[status(thm)],[c_103,c_118]) ).
tcf(c_198,plain,
f(iPr_def_19,iPr_def_17) = iPr_def_13,
inference(demodulation,[status(thm)],[c_104,c_119,c_121]) ).
tcf(c_199,plain,
f(iPr_def_21,iPr_def_22) = iPr_def_14,
inference(demodulation,[status(thm)],[c_105,c_123,c_124]) ).
tcf(c_200,plain,
f(iPr_def_14,iPr_def_18) = iPr_def_15,
inference(demodulation,[status(thm)],[c_106,c_120]) ).
tcf(c_201,plain,
f(iPr_def_20,iPr_def_20) = iPr_def_16,
inference(demodulation,[status(thm)],[c_107,c_122]) ).
tcf(c_202,plain,
f(iPr_def_20,iPr_def_21) = iPr_def_17,
inference(demodulation,[status(thm)],[c_108,c_122,c_123]) ).
tcf(c_203,plain,
f(iPr_def_20,iPr_def_22) = iPr_def_18,
inference(demodulation,[status(thm)],[c_109,c_122,c_124]) ).
tcf(c_204,plain,
f(iPr_def_20,n1) = iPr_def_19,
inference(demodulation,[status(thm)],[c_110,c_122]) ).
tcf(c_205,plain,
f(iPr_def_22,iPr_def_22) = iPr_def_20,
inference(demodulation,[status(thm)],[c_111,c_124]) ).
tcf(c_206,plain,
f(iPr_def_22,n1) = iPr_def_21,
inference(demodulation,[status(thm)],[c_112,c_124]) ).
tcf(c_220,plain,
! [X0: $i] : f(n1,f(n1,X0)) = f(iPr_def_22,f(n1,X0)),
inference(superposition,[status(thm)],[c_113,c_125]) ).
tcf(c_225,plain,
! [X0: $i] : f(iPr_def_14,f(iPr_def_21,X0)) = f(iPr_def_21,f(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_199,c_125]) ).
tcf(c_226,plain,
! [X0: $i] : f(iPr_def_14,f(iPr_def_18,X0)) = f(iPr_def_15,f(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_200,c_125]) ).
tcf(c_227,plain,
! [X0: $i] : f(iPr_def_16,f(iPr_def_20,X0)) = f(iPr_def_20,f(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_201,c_125]) ).
tcf(c_229,plain,
! [X0: $i] : f(iPr_def_18,f(iPr_def_20,X0)) = f(iPr_def_20,f(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_203,c_125]) ).
tcf(c_230,plain,
! [X0: $i] : f(iPr_def_19,f(iPr_def_20,X0)) = f(iPr_def_20,f(n1,X0)),
inference(superposition,[status(thm)],[c_204,c_125]) ).
tcf(c_231,plain,
! [X0: $i] : f(iPr_def_20,f(iPr_def_22,X0)) = f(iPr_def_22,f(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_205,c_125]) ).
tcf(c_232,plain,
! [X0: $i] : f(iPr_def_21,f(iPr_def_22,X0)) = f(iPr_def_22,f(n1,X0)),
inference(superposition,[status(thm)],[c_206,c_125]) ).
tcf(c_234,plain,
! [X0: $i] : f(f(n1,X0),iPr_def_22) = f(n1,f(X0,n1)),
inference(superposition,[status(thm)],[c_113,c_125]) ).
tcf(c_237,plain,
! [X0: $i] : f(f(iPr_def_16,X0),iPr_def_12) = f(iPr_def_16,f(X0,iPr_def_16)),
inference(superposition,[status(thm)],[c_197,c_125]) ).
tcf(c_239,plain,
! [X0: $i] : f(f(iPr_def_21,X0),iPr_def_14) = f(iPr_def_21,f(X0,iPr_def_22)),
inference(superposition,[status(thm)],[c_199,c_125]) ).
tcf(c_240,plain,
! [X0: $i] : f(f(iPr_def_14,X0),iPr_def_15) = f(iPr_def_14,f(X0,iPr_def_18)),
inference(superposition,[status(thm)],[c_200,c_125]) ).
tcf(c_241,plain,
! [X0: $i] : f(f(iPr_def_20,X0),iPr_def_16) = f(iPr_def_20,f(X0,iPr_def_20)),
inference(superposition,[status(thm)],[c_201,c_125]) ).
tcf(c_245,plain,
! [X0: $i] : f(f(iPr_def_22,X0),iPr_def_20) = f(iPr_def_22,f(X0,iPr_def_22)),
inference(superposition,[status(thm)],[c_205,c_125]) ).
tcf(c_249,plain,
! [X0: $i] : f(iPr_def_18,f(iPr_def_20,X0)) = f(iPr_def_22,f(iPr_def_22,X0)),
inference(demodulation,[status(thm)],[c_229,c_231]) ).
tcf(c_250,plain,
! [X0: $i] : f(n1,f(n1,X0)) = f(iPr_def_21,f(iPr_def_22,X0)),
inference(demodulation,[status(thm)],[c_220,c_232]) ).
tcf(c_334,plain,
f(iPr_def_16,iPr_def_18) = f(iPr_def_20,iPr_def_18),
inference(superposition,[status(thm)],[c_203,c_227]) ).
tcf(c_357,plain,
f(n1,iPr_def_22) = f(iPr_def_22,iPr_def_22),
inference(superposition,[status(thm)],[c_113,c_234]) ).
tcf(c_368,plain,
f(iPr_def_12,iPr_def_12) = f(iPr_def_16,iPr_def_12),
inference(superposition,[status(thm)],[c_197,c_237]) ).
tcf(c_375,plain,
f(iPr_def_21,f(iPr_def_22,iPr_def_22)) = f(iPr_def_14,iPr_def_14),
inference(superposition,[status(thm)],[c_199,c_239]) ).
tcf(c_378,plain,
f(iPr_def_14,f(iPr_def_18,iPr_def_18)) = f(iPr_def_15,iPr_def_15),
inference(superposition,[status(thm)],[c_200,c_240]) ).
tcf(c_383,plain,
f(iPr_def_16,iPr_def_16) = f(iPr_def_20,iPr_def_16),
inference(superposition,[status(thm)],[c_201,c_241]) ).
tcf(c_385,plain,
f(iPr_def_20,f(iPr_def_22,iPr_def_20)) = f(iPr_def_18,iPr_def_16),
inference(superposition,[status(thm)],[c_203,c_241]) ).
tcf(c_435,plain,
f(iPr_def_20,iPr_def_20) = f(iPr_def_22,iPr_def_20),
inference(superposition,[status(thm)],[c_205,c_245]) ).
tcf(c_436,plain,
f(iPr_def_22,f(n1,iPr_def_22)) = f(iPr_def_21,iPr_def_20),
inference(superposition,[status(thm)],[c_206,c_245]) ).
tcf(c_450,plain,
f(iPr_def_22,f(iPr_def_22,iPr_def_20)) = f(iPr_def_18,iPr_def_16),
inference(superposition,[status(thm)],[c_201,c_249]) ).
tcf(c_452,plain,
f(iPr_def_22,f(iPr_def_22,iPr_def_22)) = f(iPr_def_18,iPr_def_18),
inference(superposition,[status(thm)],[c_203,c_249]) ).
tcf(c_599,plain,
f(iPr_def_22,iPr_def_20) = iPr_def_16,
inference(demodulation,[status(thm)],[c_435,c_201]) ).
tcf(c_600,plain,
f(iPr_def_20,iPr_def_16) = iPr_def_12,
inference(demodulation,[status(thm)],[c_383,c_197]) ).
tcf(c_601,plain,
f(n1,iPr_def_22) = iPr_def_20,
inference(demodulation,[status(thm)],[c_357,c_205]) ).
tcf(c_606,plain,
f(iPr_def_18,iPr_def_18) = f(iPr_def_22,iPr_def_20),
inference(demodulation,[status(thm)],[c_452,c_205]) ).
tcf(c_608,plain,
f(iPr_def_18,iPr_def_16) = f(iPr_def_22,iPr_def_16),
inference(demodulation,[status(thm)],[c_450,c_599]) ).
tcf(c_612,plain,
f(iPr_def_21,iPr_def_20) = iPr_def_16,
inference(demodulation,[status(thm)],[c_436,c_599,c_601]) ).
tcf(c_622,plain,
f(iPr_def_22,iPr_def_16) = iPr_def_12,
inference(demodulation,[status(thm)],[c_385,c_599,c_600,c_608]) ).
tcf(c_624,plain,
f(iPr_def_14,iPr_def_16) = f(iPr_def_15,iPr_def_15),
inference(demodulation,[status(thm)],[c_378,c_599,c_606]) ).
tcf(c_625,plain,
f(iPr_def_14,iPr_def_14) = f(iPr_def_21,iPr_def_20),
inference(demodulation,[status(thm)],[c_375,c_205]) ).
tcf(c_1077,plain,
! [X0: $i] : f(f(iPr_def_20,X0),iPr_def_12) = f(iPr_def_20,f(X0,iPr_def_16)),
inference(superposition,[status(thm)],[c_600,c_125]) ).
tcf(c_1083,plain,
f(iPr_def_16,iPr_def_12) = f(iPr_def_20,iPr_def_12),
inference(superposition,[status(thm)],[c_600,c_227]) ).
tcf(c_1088,plain,
f(iPr_def_21,f(iPr_def_22,iPr_def_22)) = f(n1,iPr_def_20),
inference(superposition,[status(thm)],[c_601,c_250]) ).
tcf(c_1089,plain,
f(n1,f(iPr_def_22,n1)) = f(iPr_def_20,iPr_def_22),
inference(superposition,[status(thm)],[c_601,c_234]) ).
tcf(c_1108,plain,
! [X0: $i] : f(iPr_def_16,f(iPr_def_21,X0)) = f(iPr_def_21,f(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_612,c_125]) ).
tcf(c_1129,plain,
f(iPr_def_20,iPr_def_12) = f(iPr_def_22,iPr_def_12),
inference(superposition,[status(thm)],[c_622,c_231]) ).
tcf(c_1193,plain,
f(iPr_def_18,iPr_def_16) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_608,c_622]) ).
tcf(c_1198,plain,
f(iPr_def_15,f(iPr_def_14,iPr_def_16)) = f(iPr_def_14,iPr_def_12),
inference(superposition,[status(thm)],[c_1193,c_226]) ).
tcf(c_1211,plain,
f(iPr_def_14,iPr_def_14) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_625,c_612]) ).
tcf(c_1215,plain,
! [X0: $i] : f(f(iPr_def_14,X0),iPr_def_16) = f(iPr_def_14,f(X0,iPr_def_14)),
inference(superposition,[status(thm)],[c_1211,c_125]) ).
tcf(c_1313,plain,
f(iPr_def_12,iPr_def_12) = f(iPr_def_20,iPr_def_12),
inference(demodulation,[status(thm)],[c_1083,c_368]) ).
tcf(c_1315,plain,
f(iPr_def_15,f(iPr_def_15,iPr_def_15)) = f(iPr_def_14,iPr_def_12),
inference(demodulation,[status(thm)],[c_1198,c_624]) ).
tcf(c_1323,plain,
f(n1,iPr_def_21) = iPr_def_18,
inference(demodulation,[status(thm)],[c_1089,c_203,c_206]) ).
tcf(c_1324,plain,
f(n1,iPr_def_20) = iPr_def_16,
inference(demodulation,[status(thm)],[c_1088,c_205,c_612]) ).
tcf(c_1956,plain,
f(iPr_def_19,f(iPr_def_20,iPr_def_21)) = f(iPr_def_20,iPr_def_18),
inference(superposition,[status(thm)],[c_1323,c_230]) ).
tcf(c_2030,plain,
f(iPr_def_21,f(iPr_def_22,iPr_def_20)) = f(iPr_def_22,iPr_def_16),
inference(superposition,[status(thm)],[c_1324,c_232]) ).
tcf(c_2059,plain,
f(iPr_def_12,iPr_def_12) = f(iPr_def_22,iPr_def_12),
inference(superposition,[status(thm)],[c_1313,c_1129]) ).
tcf(c_2080,plain,
f(f(iPr_def_16,iPr_def_18),iPr_def_12) = f(iPr_def_20,f(iPr_def_18,iPr_def_16)),
inference(superposition,[status(thm)],[c_334,c_1077]) ).
tcf(c_2179,plain,
f(iPr_def_21,iPr_def_16) = iPr_def_12,
inference(demodulation,[status(thm)],[c_2030,c_599,c_622]) ).
tcf(c_2186,plain,
f(iPr_def_16,iPr_def_18) = iPr_def_13,
inference(demodulation,[status(thm)],[c_1956,c_198,c_202,c_334]) ).
tcf(c_2202,plain,
f(iPr_def_20,f(iPr_def_18,iPr_def_16)) = f(iPr_def_13,iPr_def_12),
inference(demodulation,[status(thm)],[c_2080,c_2186]) ).
tcf(c_2203,plain,
f(iPr_def_22,iPr_def_12) = iPr_def_11,
inference(demodulation,[status(thm)],[c_2202,c_196,c_1129,c_1193]) ).
tcf(c_2403,plain,
f(iPr_def_21,f(iPr_def_20,iPr_def_16)) = f(iPr_def_16,iPr_def_12),
inference(superposition,[status(thm)],[c_2179,c_1108]) ).
tcf(c_2408,plain,
f(iPr_def_21,f(iPr_def_22,iPr_def_16)) = f(iPr_def_14,iPr_def_12),
inference(superposition,[status(thm)],[c_2179,c_225]) ).
tcf(c_2496,plain,
f(iPr_def_12,iPr_def_12) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2059,c_2203]) ).
tcf(c_2593,plain,
f(iPr_def_14,iPr_def_12) = f(iPr_def_21,iPr_def_12),
inference(demodulation,[status(thm)],[c_2408,c_622]) ).
tcf(c_2596,plain,
f(iPr_def_21,iPr_def_12) = iPr_def_11,
inference(demodulation,[status(thm)],[c_2403,c_368,c_600,c_2496]) ).
tcf(c_2905,plain,
f(iPr_def_14,iPr_def_16) = f(iPr_def_16,iPr_def_16),
inference(superposition,[status(thm)],[c_1211,c_1215]) ).
tcf(c_2948,plain,
f(iPr_def_14,iPr_def_12) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2593,c_2596]) ).
tcf(c_2969,plain,
f(iPr_def_14,iPr_def_16) = iPr_def_12,
inference(demodulation,[status(thm)],[c_2905,c_197]) ).
tcf(c_3163,plain,
f(iPr_def_15,iPr_def_15) = iPr_def_12,
inference(superposition,[status(thm)],[c_2969,c_624]) ).
tcf(c_4249,plain,
iPr_def_10 = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1315,c_195,c_2948,c_3163]) ).
tcf(c_4273,plain,
$false,
inference(superposition,[status(thm)],[c_4249,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LDA002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.40 % Computer : n026.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Thu Sep 24 00:47:38 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.46 Running UEQ theorem proving
% 0.15/0.46 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
% 0.15/0.48
% 0.15/0.48 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.48
% 0.15/0.48 % Detected problem language: tptp
% 0.15/0.49 % Proving...
% 8.29/1.91 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 8.29/1.91 % SZS status Started for theBenchmark.p
% 8.29/1.91 % SZS status Unsatisfiable for theBenchmark.p
% 8.29/1.91
% 8.29/1.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.29/1.91
% 8.29/1.91 % ------ iProver source info
% 8.29/1.91
% 8.29/1.91 % git: date: 2026-07-19 20:42:38 +0200
% 8.29/1.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.29/1.91 % git: non_committed_changes: false
% 8.29/1.91
% 8.29/1.91 % ------ Parsing...% successful
% 8.29/1.91
% 8.29/1.91
% 8.29/1.91 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.29/1.91
% 8.29/1.91 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.29/1.91
% 8.29/1.91 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.29/1.91
% 8.29/1.91 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.29/1.91 % ------ Proving...
% 8.29/1.91 % ------ Problem Properties
% 8.29/1.91
% 8.29/1.91 %
% 8.29/1.91 % clauses 25
% 8.29/1.91 % conjectures 1
% 8.29/1.91 % EPR 11
% 8.29/1.91 % Horn 25
% 8.29/1.91 % unary 25
% 8.29/1.91 % binary 0
% 8.29/1.91 % lits 25
% 8.29/1.91 % lits eq 25
% 8.29/1.91 % fd_pure 0
% 8.29/1.91 % fd_pseudo 0
% 8.29/1.91 % fd_cond 0
% 8.29/1.91 % fd_pseudo_cond 0
% 8.29/1.91 % AC symbols 0
% 8.29/1.91
% 8.29/1.91 % ------ Input Options Time Limit: Unbounded
% 8.29/1.91
% 8.29/1.91
% 8.29/1.91 % ------
% 8.29/1.91 % Current options:
% 8.29/1.91 % ------
% 8.29/1.91
% 8.29/1.91
% 8.29/1.91 %
% 8.29/1.91
% 8.29/1.91 % ------ Proving...
% 8.29/1.91 %
% 8.29/1.91
% 8.29/1.91 % SZS status Unsatisfiable for theBenchmark.p
% 8.29/1.91
% 8.29/1.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.29/1.92
% 8.29/1.92
%------------------------------------------------------------------------------