%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP101-1 : 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 : n011.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 01:30:44 PM UTC 2026
% Result : Unsatisfiable 4.26s 1.17s
% Output : CNFRefutation 4.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 20
% Syntax : Number of formulae : 103 ( 94 unt; 15 def)
% Number of atoms : 334 ( 126 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 58 ( 34 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| multiply(inverse(a1),a1) != identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f6,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f8,plain,
( double_divide(double_divide(b4,a4),identity) != double_divide(double_divide(a4,b4),identity)
| double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)
| a2 != double_divide(double_divide(a2,identity),identity)
| identity != double_divide(double_divide(a1,double_divide(a1,identity)),identity) ),
inference(definition_unfolding,[],[f6,f2,f3,f2,f2,f2,f2,f2,f2,f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i] : double_divide(X0,double_divide(X0,identity)) = identity,
inference(cnf_transformation,[],[f7]) ).
tcf(c_56,negated_conjecture,
( ( double_divide(double_divide(a4,b4),identity) != double_divide(double_divide(b4,a4),identity) )
| ( double_divide(double_divide(a2,identity),identity) != a2 )
| ( double_divide(double_divide(a1,double_divide(a1,identity)),identity) != identity )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_71,plain,
( ( double_divide(identity,identity) != identity )
| ( double_divide(double_divide(a4,b4),identity) != double_divide(double_divide(b4,a4),identity) )
| ( double_divide(double_divide(a2,identity),identity) != a2 )
| ( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) ) ),
inference(demodulation,[status(thm)],[c_56,c_55]) ).
tcf(c_79,definition,
iPr_def_10 = double_divide(c3,b3),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_80,definition,
iPr_def_11 = double_divide(iPr_def_10,identity),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_81,definition,
iPr_def_12 = double_divide(iPr_def_11,a3),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_82,definition,
iPr_def_13 = double_divide(iPr_def_12,identity),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_83,definition,
iPr_def_14 = double_divide(b3,a3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_84,definition,
iPr_def_15 = double_divide(iPr_def_14,identity),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_85,definition,
iPr_def_16 = double_divide(c3,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_86,definition,
iPr_def_17 = double_divide(iPr_def_16,identity),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_87,definition,
iPr_def_18 = double_divide(a2,identity),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_88,definition,
iPr_def_19 = double_divide(iPr_def_18,identity),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_89,definition,
iPr_def_20 = double_divide(a4,b4),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_90,definition,
iPr_def_21 = double_divide(iPr_def_20,identity),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_91,definition,
iPr_def_22 = double_divide(b4,a4),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_92,definition,
iPr_def_23 = double_divide(iPr_def_22,identity),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_93,definition,
iPr_def_24 = double_divide(identity,identity),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_94,plain,
( ( iPr_def_24 != identity )
| ( iPr_def_21 != iPr_def_23 )
| ( iPr_def_19 != a2 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_71,c_93,c_91,c_92,c_89,c_90,c_87,c_88,c_83,c_84,c_85,c_86,c_79,c_80,c_81,c_82]) ).
tcf(c_160,plain,
double_divide(identity,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_93,c_55]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),iPr_def_24) = X1,
inference(light_normalisation,[status(thm)],[c_54,c_93]) ).
tcf(c_170,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_55,c_169]) ).
tcf(c_171,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,iPr_def_24),iPr_def_24)),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_93,c_169]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))),iPr_def_24) = X1,
inference(superposition,[status(thm)],[c_55,c_169]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(identity,X0)),iPr_def_24)),iPr_def_24) = X1,
inference(superposition,[status(thm)],[c_93,c_169]) ).
tcf(c_290,plain,
double_divide(double_divide(identity,identity),iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_55,c_170]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(iPr_def_24,double_divide(double_divide(X0,X1),double_divide(double_divide(identity,double_divide(identity,double_divide(X1,identity))),identity))),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_170,c_169]) ).
tcf(c_301,plain,
double_divide(iPr_def_24,iPr_def_24) = identity,
inference(light_normalisation,[status(thm)],[c_290,c_93]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))) = double_divide(double_divide(identity,double_divide(X1,iPr_def_24)),iPr_def_24),
inference(superposition,[status(thm)],[c_169,c_171]) ).
tcf(c_376,plain,
double_divide(double_divide(identity,double_divide(identity,iPr_def_24)),iPr_def_24) = iPr_def_24,
inference(superposition,[status(thm)],[c_301,c_171]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(iPr_def_24,double_divide(double_divide(X0,X1),double_divide(double_divide(identity,double_divide(double_divide(X1,iPr_def_24),iPr_def_24)),identity))),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_171,c_169]) ).
tcf(c_379,plain,
identity = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_376,c_93,c_160,c_301]) ).
tcf(c_391,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_24,double_divide(iPr_def_24,double_divide(X0,iPr_def_24))),iPr_def_24) = X0,
inference(demodulation,[status(thm)],[c_170,c_379]) ).
tcf(c_402,plain,
double_divide(iPr_def_24,iPr_def_24) = iPr_def_24,
inference(demodulation,[status(thm)],[c_93,c_379]) ).
tcf(c_403,plain,
double_divide(iPr_def_22,iPr_def_24) = iPr_def_23,
inference(demodulation,[status(thm)],[c_92,c_379]) ).
tcf(c_404,plain,
double_divide(iPr_def_20,iPr_def_24) = iPr_def_21,
inference(demodulation,[status(thm)],[c_90,c_379]) ).
tcf(c_405,plain,
double_divide(iPr_def_18,iPr_def_24) = iPr_def_19,
inference(demodulation,[status(thm)],[c_88,c_379]) ).
tcf(c_406,plain,
double_divide(a2,iPr_def_24) = iPr_def_18,
inference(demodulation,[status(thm)],[c_87,c_379]) ).
tcf(c_407,plain,
double_divide(iPr_def_16,iPr_def_24) = iPr_def_17,
inference(demodulation,[status(thm)],[c_86,c_379]) ).
tcf(c_408,plain,
double_divide(iPr_def_14,iPr_def_24) = iPr_def_15,
inference(demodulation,[status(thm)],[c_84,c_379]) ).
tcf(c_409,plain,
double_divide(iPr_def_12,iPr_def_24) = iPr_def_13,
inference(demodulation,[status(thm)],[c_82,c_379]) ).
tcf(c_410,plain,
double_divide(iPr_def_10,iPr_def_24) = iPr_def_11,
inference(demodulation,[status(thm)],[c_80,c_379]) ).
tcf(c_411,plain,
( ( iPr_def_24 != iPr_def_24 )
| ( iPr_def_21 != iPr_def_23 )
| ( iPr_def_13 != iPr_def_17 )
| ( a2 != iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_94,c_379]) ).
tcf(c_412,plain,
( ( iPr_def_21 != iPr_def_23 )
| ( iPr_def_13 != iPr_def_17 )
| ( a2 != iPr_def_19 ) ),
inference(equality_resolution_simp,[status(thm)],[c_411]) ).
tcf(c_455,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,iPr_def_24),double_divide(double_divide(X1,iPr_def_24),double_divide(X0,iPr_def_24))),iPr_def_24) = X1,
inference(light_normalisation,[status(thm)],[c_172,c_379]) ).
tcf(c_458,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,iPr_def_24),X0)),iPr_def_24) = X1,
inference(superposition,[status(thm)],[c_455,c_455]) ).
tcf(c_688,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_24,double_divide(iPr_def_24,X0)),iPr_def_24) = double_divide(iPr_def_24,double_divide(iPr_def_24,double_divide(X0,iPr_def_24))),
inference(superposition,[status(thm)],[c_391,c_391]) ).
tcf(c_702,plain,
! [X0: $i] : double_divide(double_divide(X0,double_divide(iPr_def_24,X0)),iPr_def_24) = iPr_def_24,
inference(superposition,[status(thm)],[c_402,c_458]) ).
tcf(c_762,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(iPr_def_24,X0)),iPr_def_24) = double_divide(X1,double_divide(iPr_def_24,X1)),
inference(superposition,[status(thm)],[c_702,c_458]) ).
tcf(c_764,plain,
! [X0: $i] : double_divide(X0,double_divide(iPr_def_24,X0)) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_762,c_702]) ).
tcf(c_847,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(iPr_def_24,X0)),iPr_def_24)),iPr_def_24) = X1,
inference(light_normalisation,[status(thm)],[c_197,c_379]) ).
tcf(c_954,plain,
! [X0: $i] : double_divide(double_divide(X0,double_divide(iPr_def_24,iPr_def_24)),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_764,c_847]) ).
tcf(c_955,plain,
! [X0: $i] : double_divide(double_divide(X0,iPr_def_24),iPr_def_24) = X0,
inference(light_normalisation,[status(thm)],[c_954,c_402]) ).
tcf(c_975,plain,
double_divide(iPr_def_18,iPr_def_24) = a2,
inference(superposition,[status(thm)],[c_406,c_955]) ).
tcf(c_990,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(X1,X0)),iPr_def_24) = double_divide(X1,iPr_def_24),
inference(superposition,[status(thm)],[c_955,c_458]) ).
tcf(c_991,plain,
! [X0: $i] : double_divide(double_divide(iPr_def_24,X0),iPr_def_24) = X0,
inference(superposition,[status(thm)],[c_955,c_458]) ).
tcf(c_992,plain,
a2 = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_975,c_405]) ).
tcf(c_1009,plain,
( ( iPr_def_21 != iPr_def_23 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_412,c_992]) ).
tcf(c_1155,plain,
! [X0: $i] : double_divide(X0,iPr_def_24) = double_divide(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_991,c_955]) ).
tcf(c_1157,plain,
! [X0: $i] : double_divide(iPr_def_24,double_divide(X0,iPr_def_24)) = X0,
inference(demodulation,[status(thm)],[c_955,c_1155]) ).
tcf(c_1158,plain,
! [X0: $i] : double_divide(iPr_def_24,double_divide(iPr_def_24,X0)) = X0,
inference(demodulation,[status(thm)],[c_991,c_1155]) ).
tcf(c_1928,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(iPr_def_24,double_divide(double_divide(X0,X1),double_divide(double_divide(iPr_def_24,double_divide(iPr_def_24,double_divide(X1,iPr_def_24))),iPr_def_24))),iPr_def_24) = X0,
inference(light_normalisation,[status(thm)],[c_300,c_379]) ).
tcf(c_1929,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_1928,c_688,c_1155,c_1157,c_1158]) ).
tcf(c_1936,plain,
double_divide(iPr_def_14,a3) = b3,
inference(superposition,[status(thm)],[c_83,c_1929]) ).
tcf(c_1937,plain,
double_divide(iPr_def_10,b3) = c3,
inference(superposition,[status(thm)],[c_79,c_1929]) ).
tcf(c_1938,plain,
double_divide(iPr_def_22,a4) = b4,
inference(superposition,[status(thm)],[c_91,c_1929]) ).
tcf(c_1939,plain,
double_divide(iPr_def_20,b4) = a4,
inference(superposition,[status(thm)],[c_89,c_1929]) ).
tcf(c_1940,plain,
double_divide(iPr_def_12,a3) = iPr_def_11,
inference(superposition,[status(thm)],[c_81,c_1929]) ).
tcf(c_1941,plain,
double_divide(iPr_def_16,iPr_def_15) = c3,
inference(superposition,[status(thm)],[c_85,c_1929]) ).
tcf(c_2003,plain,
double_divide(a4,b4) = iPr_def_20,
inference(superposition,[status(thm)],[c_1939,c_1929]) ).
tcf(c_2004,plain,
double_divide(iPr_def_11,a3) = iPr_def_12,
inference(superposition,[status(thm)],[c_1940,c_1929]) ).
tcf(c_2025,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,iPr_def_24))) = double_divide(double_divide(iPr_def_24,double_divide(X1,iPr_def_24)),iPr_def_24),
inference(light_normalisation,[status(thm)],[c_365,c_379]) ).
tcf(c_2026,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,iPr_def_24))) = double_divide(X1,iPr_def_24),
inference(demodulation,[status(thm)],[c_2025,c_990]) ).
tcf(c_2034,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(X1,X2)),iPr_def_24) = double_divide(X2,double_divide(X0,double_divide(X1,iPr_def_24))),
inference(superposition,[status(thm)],[c_1929,c_2026]) ).
tcf(c_2086,plain,
! [X0: $i] : double_divide(a3,double_divide(double_divide(X0,b3),double_divide(iPr_def_14,iPr_def_24))) = double_divide(X0,iPr_def_24),
inference(superposition,[status(thm)],[c_1936,c_2026]) ).
tcf(c_2122,plain,
! [X0: $i] : double_divide(a3,double_divide(double_divide(X0,b3),iPr_def_15)) = double_divide(X0,iPr_def_24),
inference(light_normalisation,[status(thm)],[c_2086,c_408]) ).
tcf(c_2365,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(iPr_def_24,double_divide(double_divide(X0,X1),double_divide(double_divide(iPr_def_24,double_divide(double_divide(X1,iPr_def_24),iPr_def_24)),iPr_def_24))),iPr_def_24) = X0,
inference(light_normalisation,[status(thm)],[c_377,c_379]) ).
tcf(c_2366,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(demodulation,[status(thm)],[c_2365,c_990,c_1157,c_1929,c_2034]) ).
tcf(c_2398,plain,
double_divide(iPr_def_15,c3) = iPr_def_16,
inference(superposition,[status(thm)],[c_1941,c_2366]) ).
tcf(c_2417,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1929,c_2366]) ).
tcf(c_2420,plain,
double_divide(a4,b4) = iPr_def_22,
inference(superposition,[status(thm)],[c_1938,c_2366]) ).
tcf(c_2429,plain,
iPr_def_20 = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_2420,c_2003]) ).
tcf(c_2450,plain,
double_divide(iPr_def_20,iPr_def_24) = iPr_def_23,
inference(demodulation,[status(thm)],[c_403,c_2429]) ).
tcf(c_2452,plain,
iPr_def_21 = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_2450,c_404]) ).
tcf(c_2453,plain,
iPr_def_13 != iPr_def_17,
inference(backward_subsumption_resolution,[status(thm)],[c_1009,c_2452]) ).
tcf(c_2573,plain,
! [X0: $i] : double_divide(a3,double_divide(iPr_def_15,double_divide(X0,b3))) = double_divide(X0,iPr_def_24),
inference(demodulation,[status(thm)],[c_2122,c_2417]) ).
tcf(c_2577,plain,
double_divide(a3,double_divide(iPr_def_15,c3)) = double_divide(iPr_def_10,iPr_def_24),
inference(superposition,[status(thm)],[c_1937,c_2573]) ).
tcf(c_2584,plain,
double_divide(a3,iPr_def_16) = iPr_def_11,
inference(light_normalisation,[status(thm)],[c_2577,c_410,c_2398]) ).
tcf(c_2590,plain,
double_divide(iPr_def_16,a3) = iPr_def_11,
inference(demodulation,[status(thm)],[c_2584,c_2417]) ).
tcf(c_2591,plain,
double_divide(a3,iPr_def_11) = iPr_def_16,
inference(superposition,[status(thm)],[c_2590,c_2366]) ).
tcf(c_2611,plain,
iPr_def_12 = iPr_def_16,
inference(demodulation,[status(thm)],[c_2591,c_2004,c_2417]) ).
tcf(c_2617,plain,
double_divide(iPr_def_12,iPr_def_24) = iPr_def_17,
inference(demodulation,[status(thm)],[c_407,c_2611]) ).
tcf(c_2619,plain,
iPr_def_13 = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_2617,c_409]) ).
tcf(c_2620,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2619,c_2453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP101-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Wed Sep 23 13:31:42 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 Running first-order theorem proving
% 0.11/0.37 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
% 0.11/0.38
% 0.11/0.38 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.38
% 0.11/0.38 % Detected problem language: tptp
% 0.11/0.40 % Proving...
% 4.26/1.17 % SZS status Started for theBenchmark.p
% 4.26/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.26/1.17
% 4.26/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.26/1.17
% 4.26/1.17 % ------ iProver source info
% 4.26/1.17
% 4.26/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 4.26/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.26/1.17 % git: non_committed_changes: false
% 4.26/1.17
% 4.26/1.17 % ------ Parsing...% successful
% 4.26/1.17
% 4.26/1.17
% 4.26/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.26/1.17
% 4.26/1.17 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.26/1.17
% 4.26/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.26/1.17
% 4.26/1.17 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.26/1.17 % ------ Proving...
% 4.26/1.17 % ------ Problem Properties
% 4.26/1.17
% 4.26/1.17 %
% 4.26/1.17 % clauses 18
% 4.26/1.17 % conjectures 0
% 4.26/1.17 % EPR 1
% 4.26/1.17 % Horn 18
% 4.26/1.17 % unary 17
% 4.26/1.17 % binary 0
% 4.26/1.17 % lits 21
% 4.26/1.17 % lits eq 21
% 4.26/1.17 % fd_pure 0
% 4.26/1.17 % fd_pseudo 0
% 4.26/1.17 % fd_cond 0
% 4.26/1.17 % fd_pseudo_cond 0
% 4.26/1.17 % AC symbols 0
% 4.26/1.17
% 4.26/1.17 % ------ Schedule dynamic 5 is on
% 4.26/1.17
% 4.26/1.17 % ------ no conjectures: strip conj schedule
% 4.26/1.17
% 4.26/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.26/1.17
% 4.26/1.17
% 4.26/1.17 % ------
% 4.26/1.17 % Current options:
% 4.26/1.17 % ------
% 4.26/1.17
% 4.26/1.17
% 4.26/1.17 %
% 4.26/1.17
% 4.26/1.17 % ------ Proving...
% 4.26/1.17 %
% 4.26/1.17
% 4.26/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 4.26/1.17
% 4.26/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.26/1.17
% 4.26/1.17
%------------------------------------------------------------------------------