%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP088-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 01:30:42 PM UTC 2026
% Result : Unsatisfiable 2.68s 6.20s
% Output : CNFRefutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 17
% Syntax : Number of formulae : 121 ( 114 unt; 13 def)
% Number of atoms : 293 ( 138 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 44 ( 26 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 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; 9 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn 107 !; 0 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f5,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f4]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(divide(X1,X1),X2)) = multiply(X0,X2),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = inverse(X1),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,negated_conjecture,
( ( multiply(a4,b4) != multiply(b4,a4) )
| ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_54,c_55]) ).
tcf(c_85,definition,
iPr_def_10 = inverse(b2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_86,definition,
iPr_def_11 = multiply(iPr_def_10,b2),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_87,definition,
iPr_def_12 = multiply(iPr_def_11,a2),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_88,definition,
iPr_def_13 = multiply(a3,b3),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_89,definition,
iPr_def_14 = multiply(iPr_def_13,c3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_90,definition,
iPr_def_15 = multiply(b3,c3),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_91,definition,
iPr_def_16 = multiply(a3,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_92,definition,
iPr_def_17 = inverse(a1),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_93,definition,
iPr_def_18 = multiply(iPr_def_17,a1),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_94,definition,
iPr_def_19 = inverse(b1),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_95,definition,
iPr_def_20 = multiply(iPr_def_19,b1),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_96,definition,
iPr_def_21 = multiply(a4,b4),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_97,definition,
iPr_def_22 = multiply(b4,a4),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_98,negated_conjecture,
( ( iPr_def_21 != iPr_def_22 )
| ( iPr_def_18 != iPr_def_20 )
| ( iPr_def_14 != iPr_def_16 )
| ( iPr_def_12 != a2 ) ),
inference(demodulation,[status(thm)],[c_56,c_97,c_96,c_94,c_95,c_92,c_93,c_90,c_91,c_88,c_89,c_85,c_86,c_87]) ).
tcf(c_176,plain,
! [X0: $i] : divide(X0,iPr_def_17) = multiply(X0,a1),
inference(superposition,[status(thm)],[c_92,c_74]) ).
tcf(c_177,plain,
! [X0: $i] : divide(X0,iPr_def_19) = multiply(X0,b1),
inference(superposition,[status(thm)],[c_94,c_74]) ).
tcf(c_178,plain,
! [X0: $i] : divide(X0,iPr_def_10) = multiply(X0,b2),
inference(superposition,[status(thm)],[c_85,c_74]) ).
tcf(c_188,plain,
! [X0: $i] : divide(multiply(iPr_def_17,a1),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_176,c_55]) ).
tcf(c_189,plain,
! [X0: $i] : divide(multiply(iPr_def_19,b1),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_177,c_55]) ).
tcf(c_190,plain,
! [X0: $i] : divide(multiply(iPr_def_10,b2),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_178,c_55]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[status(thm)],[c_55,c_74]) ).
tcf(c_196,plain,
! [X0: $i] : divide(iPr_def_11,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_190,c_86]) ).
tcf(c_197,plain,
! [X0: $i] : divide(iPr_def_20,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_189,c_95]) ).
tcf(c_198,plain,
! [X0: $i] : divide(iPr_def_18,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_188,c_93]) ).
tcf(c_212,plain,
! [X0: $i] : divide(inverse(iPr_def_11),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_196,c_55]) ).
tcf(c_213,plain,
! [X0: $i] : multiply(iPr_def_11,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_196,c_74]) ).
tcf(c_224,plain,
! [X0: $i] : multiply(iPr_def_20,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_197,c_74]) ).
tcf(c_228,plain,
! [X0: $i] : multiply(iPr_def_11,X0) = multiply(iPr_def_20,X0),
inference(light_normalisation,[status(thm)],[c_224,c_213]) ).
tcf(c_237,plain,
! [X0: $i] : divide(inverse(iPr_def_18),X0) = inverse(X0),
inference(superposition,[status(thm)],[c_198,c_55]) ).
tcf(c_238,plain,
! [X0: $i] : multiply(iPr_def_18,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_198,c_74]) ).
tcf(c_242,plain,
! [X0: $i] : multiply(iPr_def_11,X0) = multiply(iPr_def_18,X0),
inference(light_normalisation,[status(thm)],[c_238,c_213]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,inverse(divide(X1,divide(X0,divide(X2,X2))))) = X1,
inference(superposition,[status(thm)],[c_55,c_53]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,inverse(divide(X0,X1)))) = iPr_def_11,
inference(superposition,[status(thm)],[c_196,c_53]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i] : divide(iPr_def_11,divide(X0,divide(X1,inverse(X0)))) = X1,
inference(superposition,[status(thm)],[c_196,c_53]) ).
tcf(c_320,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,divide(X1,divide(iPr_def_18,X0)))) = X1,
inference(superposition,[status(thm)],[c_53,c_198]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,divide(X1,inverse(X0)))) = X1,
inference(light_normalisation,[status(thm)],[c_320,c_198]) ).
tcf(c_402,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,inverse(divide(X0,X1)))) = inverse(iPr_def_11),
inference(superposition,[status(thm)],[c_212,c_53]) ).
tcf(c_412,plain,
inverse(iPr_def_11) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_402,c_301]) ).
tcf(c_441,plain,
! [X0: $i] : divide(X0,iPr_def_11) = multiply(X0,iPr_def_11),
inference(superposition,[status(thm)],[c_412,c_74]) ).
tcf(c_448,plain,
multiply(iPr_def_11,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_412,c_213]) ).
tcf(c_507,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,inverse(divide(X0,X1)))) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_237,c_53]) ).
tcf(c_517,plain,
inverse(iPr_def_18) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_507,c_301]) ).
tcf(c_593,plain,
! [X0: $i] : divide(X0,iPr_def_11) = multiply(X0,iPr_def_18),
inference(superposition,[status(thm)],[c_517,c_74]) ).
tcf(c_595,plain,
! [X0: $i] : multiply(X0,iPr_def_11) = multiply(X0,iPr_def_18),
inference(light_normalisation,[status(thm)],[c_593,c_441]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i] : multiply(divide(X0,X0),X1) = multiply(iPr_def_11,X1),
inference(demodulation,[status(thm)],[c_192,c_213]) ).
tcf(c_774,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,multiply(X1,X0))) = X1,
inference(demodulation,[status(thm)],[c_321,c_74]) ).
tcf(c_779,plain,
! [X0: $i] : inverse(inverse(multiply(X0,iPr_def_18))) = X0,
inference(superposition,[status(thm)],[c_198,c_774]) ).
tcf(c_780,plain,
inverse(divide(b3,iPr_def_13)) = a3,
inference(superposition,[status(thm)],[c_88,c_774]) ).
tcf(c_803,plain,
! [X0: $i] : inverse(inverse(multiply(X0,iPr_def_11))) = X0,
inference(light_normalisation,[status(thm)],[c_779,c_595]) ).
tcf(c_820,plain,
! [X0: $i] : multiply(X0,divide(b3,iPr_def_13)) = divide(X0,a3),
inference(superposition,[status(thm)],[c_780,c_74]) ).
tcf(c_1025,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(X0,iPr_def_11)) = X0,
inference(demodulation,[status(thm)],[c_803,c_213]) ).
tcf(c_1026,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(iPr_def_11,iPr_def_11)) = divide(X0,X0),
inference(superposition,[status(thm)],[c_707,c_1025]) ).
tcf(c_1027,plain,
multiply(iPr_def_11,multiply(iPr_def_11,iPr_def_11)) = iPr_def_20,
inference(superposition,[status(thm)],[c_228,c_1025]) ).
tcf(c_1028,plain,
multiply(iPr_def_11,multiply(iPr_def_11,iPr_def_11)) = iPr_def_18,
inference(superposition,[status(thm)],[c_242,c_1025]) ).
tcf(c_1030,plain,
iPr_def_11 = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_1028,c_448]) ).
tcf(c_1031,plain,
iPr_def_11 = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_1027,c_448]) ).
tcf(c_1032,plain,
! [X0: $i] : divide(X0,X0) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_1026,c_448]) ).
tcf(c_1039,plain,
( ( iPr_def_21 != iPr_def_22 )
| ( iPr_def_14 != iPr_def_16 )
| ( iPr_def_11 != iPr_def_20 )
| ( a2 != iPr_def_12 ) ),
inference(demodulation,[status(thm)],[c_98,c_1030]) ).
tcf(c_1040,plain,
( ( iPr_def_21 != iPr_def_22 )
| ( iPr_def_14 != iPr_def_16 )
| ( a2 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1039,c_1031]) ).
tcf(c_1065,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X0,divide(X1,iPr_def_11))) = X1,
inference(superposition,[status(thm)],[c_1032,c_53]) ).
tcf(c_1066,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X1,iPr_def_11)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_1032,c_53]) ).
tcf(c_1067,plain,
! [X0: $i] : multiply(inverse(X0),X0) = iPr_def_11,
inference(superposition,[status(thm)],[c_1032,c_74]) ).
tcf(c_1079,plain,
! [X0: $i,X1: $i] : multiply(X0,divide(X1,multiply(X0,iPr_def_11))) = X1,
inference(demodulation,[status(thm)],[c_293,c_74,c_441,c_1032]) ).
tcf(c_1105,plain,
! [X0: $i] : inverse(divide(X0,iPr_def_11)) = inverse(X0),
inference(superposition,[status(thm)],[c_1067,c_774]) ).
tcf(c_1106,plain,
! [X0: $i] : inverse(multiply(X0,iPr_def_11)) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_1105,c_441]) ).
tcf(c_1224,plain,
! [X0: $i] : multiply(iPr_def_11,multiply(X0,iPr_def_11)) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_1106,c_213]) ).
tcf(c_1227,plain,
! [X0: $i] : multiply(iPr_def_11,X0) = X0,
inference(light_normalisation,[status(thm)],[c_1224,c_213,c_1025]) ).
tcf(c_1229,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_213,c_1227]) ).
tcf(c_1231,plain,
a2 = iPr_def_12,
inference(demodulation,[status(thm)],[c_87,c_1227]) ).
tcf(c_1232,plain,
! [X0: $i] : multiply(X0,iPr_def_11) = X0,
inference(demodulation,[status(thm)],[c_1025,c_1227]) ).
tcf(c_1235,plain,
! [X0: $i,X1: $i] : multiply(X0,divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_1079,c_1232]) ).
tcf(c_1239,plain,
( ( iPr_def_21 != iPr_def_22 )
| ( iPr_def_14 != iPr_def_16 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1040,c_1231]) ).
tcf(c_1263,plain,
divide(b3,iPr_def_13) = divide(iPr_def_11,a3),
inference(superposition,[status(thm)],[c_1227,c_820]) ).
tcf(c_1311,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(superposition,[status(thm)],[c_1229,c_74]) ).
tcf(c_1347,plain,
! [X0: $i,X1: $i] : divide(X0,divide(X0,X1)) = X1,
inference(light_normalisation,[status(thm)],[c_1065,c_1066]) ).
tcf(c_1350,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,divide(X2,X0))) = divide(X2,X1),
inference(superposition,[status(thm)],[c_53,c_1347]) ).
tcf(c_1352,plain,
! [X0: $i,X1: $i] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_74,c_1347]) ).
tcf(c_1400,plain,
divide(b3,iPr_def_13) = inverse(a3),
inference(demodulation,[status(thm)],[c_1263,c_196]) ).
tcf(c_1402,plain,
multiply(iPr_def_13,inverse(a3)) = b3,
inference(superposition,[status(thm)],[c_1400,c_1235]) ).
tcf(c_1433,plain,
divide(iPr_def_13,a3) = b3,
inference(demodulation,[status(thm)],[c_1402,c_1311]) ).
tcf(c_1434,plain,
divide(iPr_def_13,b3) = a3,
inference(superposition,[status(thm)],[c_1433,c_1347]) ).
tcf(c_1449,plain,
divide(b3,iPr_def_15) = inverse(c3),
inference(superposition,[status(thm)],[c_90,c_1352]) ).
tcf(c_1450,plain,
divide(a4,iPr_def_21) = inverse(b4),
inference(superposition,[status(thm)],[c_96,c_1352]) ).
tcf(c_1454,plain,
divide(iPr_def_13,iPr_def_14) = inverse(c3),
inference(superposition,[status(thm)],[c_89,c_1352]) ).
tcf(c_1455,plain,
divide(a3,iPr_def_16) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_91,c_1352]) ).
tcf(c_1465,plain,
! [X0: $i,X1: $i] : inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_1235,c_1352]) ).
tcf(c_1547,plain,
multiply(iPr_def_21,inverse(b4)) = a4,
inference(superposition,[status(thm)],[c_1450,c_1235]) ).
tcf(c_1556,plain,
multiply(iPr_def_14,inverse(c3)) = iPr_def_13,
inference(superposition,[status(thm)],[c_1454,c_1235]) ).
tcf(c_1559,plain,
divide(iPr_def_21,b4) = a4,
inference(demodulation,[status(thm)],[c_1547,c_1311]) ).
tcf(c_1561,plain,
multiply(b4,a4) = iPr_def_21,
inference(superposition,[status(thm)],[c_1559,c_1235]) ).
tcf(c_1562,plain,
iPr_def_21 = iPr_def_22,
inference(demodulation,[status(thm)],[c_97,c_1561]) ).
tcf(c_1563,plain,
iPr_def_14 != iPr_def_16,
inference(backward_subsumption_resolution,[status(thm)],[c_1239,c_1562]) ).
tcf(c_1649,plain,
divide(iPr_def_14,c3) = iPr_def_13,
inference(demodulation,[status(thm)],[c_1556,c_1311]) ).
tcf(c_1650,plain,
divide(iPr_def_14,iPr_def_13) = c3,
inference(superposition,[status(thm)],[c_1649,c_1347]) ).
tcf(c_1653,plain,
multiply(iPr_def_13,c3) = iPr_def_14,
inference(superposition,[status(thm)],[c_1650,c_1235]) ).
tcf(c_1728,plain,
! [X0: $i,X1: $i] : divide(multiply(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_311,c_74,c_196,c_1465]) ).
tcf(c_1773,plain,
! [X0: $i,X1: $i] : divide(multiply(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_1728,c_1347]) ).
tcf(c_1779,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_1728,c_1235]) ).
tcf(c_2311,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[status(thm)],[c_1773,c_74]) ).
tcf(c_2325,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_2311,c_1779]) ).
tcf(c_2336,plain,
! [X0: $i,X1: $i] : divide(X0,inverse(X1)) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_1235,c_2325]) ).
tcf(c_2681,plain,
! [X0: $i] : divide(b3,divide(X0,a3)) = divide(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_1434,c_1350]) ).
tcf(c_3293,plain,
! [X0: $i,X1: $i,X2: $i] : divide(X0,divide(X1,X2)) = multiply(divide(X2,X1),X0),
inference(superposition,[status(thm)],[c_1465,c_2336]) ).
tcf(c_4128,plain,
! [X0: $i] : multiply(b3,divide(a3,X0)) = divide(iPr_def_13,X0),
inference(demodulation,[status(thm)],[c_2681,c_1779,c_3293]) ).
tcf(c_4149,plain,
multiply(b3,inverse(iPr_def_15)) = divide(iPr_def_13,iPr_def_16),
inference(superposition,[status(thm)],[c_1455,c_4128]) ).
tcf(c_4279,plain,
divide(iPr_def_13,iPr_def_16) = inverse(c3),
inference(demodulation,[status(thm)],[c_4149,c_1311,c_1449]) ).
tcf(c_4282,plain,
multiply(iPr_def_16,inverse(c3)) = iPr_def_13,
inference(superposition,[status(thm)],[c_4279,c_1235]) ).
tcf(c_4283,plain,
divide(iPr_def_16,c3) = iPr_def_13,
inference(demodulation,[status(thm)],[c_4282,c_1311]) ).
tcf(c_4286,plain,
multiply(c3,iPr_def_13) = iPr_def_16,
inference(superposition,[status(thm)],[c_4283,c_1235]) ).
tcf(c_4298,plain,
iPr_def_14 = iPr_def_16,
inference(demodulation,[status(thm)],[c_4286,c_1653,c_1779]) ).
tcf(c_4299,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4298,c_1563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP088-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n013.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Wed Sep 23 13:29:26 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 2.68/6.20 % SZS status Started for theBenchmark.p
% 2.68/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.68/6.20
% 2.68/6.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.68/6.20
% 2.68/6.20 % ------ iProver source info
% 2.68/6.20
% 2.68/6.20 % git: date: 2026-07-19 20:42:38 +0200
% 2.68/6.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.68/6.20 % git: non_committed_changes: false
% 2.68/6.20
% 2.68/6.20 % ------ Parsing...% successful
% 2.68/6.20
% 2.68/6.20
% 2.68/6.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.68/6.20
% 2.68/6.20 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.68/6.20
% 2.68/6.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.68/6.20
% 2.68/6.20 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.68/6.20 % ------ Proving...
% 2.68/6.20 % ------ Problem Properties
% 2.68/6.20
% 2.68/6.20 %
% 2.68/6.20 % clauses 17
% 2.68/6.20 % conjectures 1
% 2.68/6.20 % EPR 1
% 2.68/6.20 % Horn 17
% 2.68/6.20 % unary 16
% 2.68/6.20 % binary 0
% 2.68/6.20 % lits 20
% 2.68/6.20 % lits eq 20
% 2.68/6.20 % fd_pure 0
% 2.68/6.20 % fd_pseudo 0
% 2.68/6.20 % fd_cond 0
% 2.68/6.20 % fd_pseudo_cond 0
% 2.68/6.20 % AC symbols 0
% 2.68/6.20
% 2.68/6.20 % ------ Schedule dynamic 5 is on
% 2.68/6.20
% 2.68/6.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.68/6.20
% 2.68/6.20
% 2.68/6.20 % ------
% 2.68/6.20 % Current options:
% 2.68/6.20 % ------
% 2.68/6.20
% 2.68/6.20
% 2.68/6.20 %
% 2.68/6.20
% 2.68/6.20 % ------ Proving...
% 2.68/6.20 %
% 2.68/6.20
% 2.68/6.20 % SZS status Unsatisfiable for theBenchmark.p
% 2.68/6.20
% 2.68/6.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.68/6.20
%------------------------------------------------------------------------------