%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PHI015+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 02:30:30 PM UTC 2026
% Result : Theorem 3.32s 1.28s
% Output : CNFRefutation 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 103 ( 26 unt; 2 def)
% Number of atoms : 389 ( 55 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 483 ( 197 ~; 194 |; 77 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 179 ( 0 sgn 163 !; 16 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( exemplifies_property(X1,X0)
=> ( object(X0)
& property(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).
fof(f3,axiom,
! [X0,X1] :
( is_the(X0,X1)
=> ( object(X0)
& property(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( object(X2)
& object(X1)
& property(X0) )
=> ( ( X1 = X2
& is_the(X1,X0) )
<=> ? [X3] :
( X3 = X2
& ! [X4] :
( object(X4)
=> ( exemplifies_property(X0,X4)
=> X4 = X3 ) )
& exemplifies_property(X0,X3)
& object(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_axiom_identity_instance) ).
fof(f7,axiom,
! [X0] :
( object(X0)
=> ( exemplifies_property(none_greater,X0)
<=> ( ~ ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
& exemplifies_property(conceivable,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f8,axiom,
? [X0] :
( exemplifies_property(none_greater,X0)
& object(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
fof(f9,axiom,
! [X0] :
( object(X0)
=> ( ( ~ exemplifies_property(existence,X0)
& is_the(X0,none_greater) )
=> ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f10,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).
fof(f11,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god_exists) ).
fof(f12,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f12]) ).
fof(f15,plain,
! [X0,X1] :
( ~ exemplifies_property(X1,X0)
| ( object(X0)
& property(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| ( object(X0)
& property(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ object(X2)
| ~ object(X1)
| ~ property(X0)
| ( ( X1 = X2
& is_the(X1,X0) )
<=> ? [X3] :
( X3 = X2
& ! [X4] :
( ~ object(X4)
| ~ exemplifies_property(X0,X4)
| X4 = X3 )
& exemplifies_property(X0,X3)
& object(X3) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ object(X2)
| ~ object(X1)
| ~ property(X0)
| ( ( X1 = X2
& is_the(X1,X0) )
<=> ? [X3] :
( X3 = X2
& ! [X4] :
( ~ object(X4)
| ~ exemplifies_property(X0,X4)
| X4 = X3 )
& exemplifies_property(X0,X3)
& object(X3) ) ) ),
inference(flattening,[],[f19]) ).
fof(f23,plain,
! [X0] :
( ~ object(X0)
| ( exemplifies_property(none_greater,X0)
<=> ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f25,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) ) ),
inference(flattening,[],[f24]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ sP3(X2,X0,X1)
| ( ( X1 != X2
| ~ is_the(X1,X0)
| sP2(X0,X2) )
& ( ~ sP2(X0,X2)
| ( X1 = X2
& is_the(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ sP3(X2,X0,X1)
| ( ( X1 != X2
| ~ is_the(X1,X0)
| sP2(X0,X2) )
& ( ~ sP2(X0,X2)
| ( X1 = X2
& is_the(X1,X0) ) ) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ sP3(X0,X1,X2)
| ( ( X0 != X2
| ~ is_the(X2,X1)
| sP2(X1,X0) )
& ( ~ sP2(X1,X0)
| ( X0 = X2
& is_the(X2,X1) ) ) ) ),
inference(rectify,[],[f39]) ).
fof(f44,plain,
! [X0] :
( ~ object(X0)
| ( ( ~ exemplifies_property(none_greater,X0)
| ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) ) )
& ( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0)
| exemplifies_property(none_greater,X0) ) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f45,plain,
! [X0] :
( ~ object(X0)
| ( ( ~ exemplifies_property(none_greater,X0)
| ( ! [X1] :
( ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ object(X1) )
& exemplifies_property(conceivable,X0) ) )
& ( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0)
| exemplifies_property(none_greater,X0) ) ) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
! [X0] :
( ~ object(X0)
| ( ( ~ exemplifies_property(none_greater,X0)
| ( ! [X2] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) )
& exemplifies_property(conceivable,X0) ) )
& ( ? [X1] :
( exemplifies_property(conceivable,X1)
& exemplifies_relation(greater_than,X1,X0)
& object(X1) )
| ~ exemplifies_property(conceivable,X0)
| exemplifies_property(none_greater,X0) ) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ~ object(X0)
| ( ( ~ exemplifies_property(none_greater,X0)
| ( ! [X2] :
( ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) )
& exemplifies_property(conceivable,X0) ) )
& ( ( exemplifies_property(conceivable,sK8(X0))
& exemplifies_relation(greater_than,sK8(X0),X0)
& object(sK8(X0)) )
| ~ exemplifies_property(conceivable,X0)
| exemplifies_property(none_greater,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f46]) ).
fof(f48,plain,
( exemplifies_property(none_greater,sK9)
& object(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f8]) ).
fof(f49,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ( exemplifies_property(conceivable,sK10(X0))
& exemplifies_relation(greater_than,sK10(X0),X0)
& object(sK10(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X1,sK10(X0))],[f25]) ).
fof(f51,plain,
! [X0,X1] :
( ~ exemplifies_property(X1,X0)
| object(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f52,plain,
! [X0,X1] :
( ~ exemplifies_property(X1,X0)
| property(X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f53,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f54,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| X0 != X2
| ~ is_the(X2,X1)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| ~ sP2(X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f40]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ object(X2)
| ~ object(X1)
| ~ property(X0)
| sP3(X2,X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f78,plain,
! [X2,X0] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ object(X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f79,plain,
! [X0] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| exemplifies_property(conceivable,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f83,plain,
exemplifies_property(none_greater,sK9),
inference(cnf_transformation,[],[f48]) ).
fof(f84,plain,
object(sK9),
inference(cnf_transformation,[],[f48]) ).
fof(f86,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| exemplifies_relation(greater_than,sK10(X0),X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f87,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| object(sK10(X0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f88,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f10]) ).
fof(f89,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f13]) ).
fof(f90,plain,
! [X2,X1] :
( ~ sP3(X2,X1,X2)
| ~ is_the(X2,X1)
| sP2(X1,X2) ),
inference(equality_resolution,[],[f66]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( property(X0)
| ~ exemplifies_property(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( object(X1)
| ~ exemplifies_property(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ sP2(X1,X0)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( sP2(X1,X0)
| ~ is_the(X0,X1)
| ~ sP3(X0,X1,X0) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(X2,X0,X1)
| ~ object(X2)
| ~ object(X1)
| ~ property(X0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_80,plain,
! [X0: $i] :
( exemplifies_property(conceivable,X0)
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( ~ object(X1)
| ~ object(X0)
| ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_relation(greater_than,X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_82,plain,
object(sK9),
inference(cnf_transformation,[],[f84]) ).
tcf(c_83,plain,
exemplifies_property(none_greater,sK9),
inference(cnf_transformation,[],[f83]) ).
tcf(c_84,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| object(sK10(X0))
| ~ object(X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_85,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| exemplifies_relation(greater_than,sK10(X0),X0)
| ~ object(X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_87,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f88]) ).
tcf(c_88,negated_conjecture,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f89]) ).
tcf(c_164,plain,
! [X0: $i] :
( exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_80,c_51]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i] :
( ~ object(X0)
| ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_relation(greater_than,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_81,c_51]) ).
tcf(c_181,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| object(sK10(X0))
| ~ is_the(X0,none_greater) ),
inference(backward_subsumption_resolution,[status(thm)],[c_84,c_53]) ).
tcf(c_183,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| exemplifies_relation(greater_than,sK10(X0),X0)
| ~ is_the(X0,none_greater) ),
inference(backward_subsumption_resolution,[status(thm)],[c_85,c_53]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i] :
( ~ exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X1)
| ~ exemplifies_relation(greater_than,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_168,c_51]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X4 )
| ~ object(X5)
| ~ object(X1)
| ~ property(X3)
| ~ sP2(X2,X0)
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_75]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ object(X2)
| ~ object(X1)
| ~ property(X0)
| ~ sP2(X0,X1) ),
inference(unflattening,[status(thm)],[c_597]) ).
tcf(c_631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP2(X3,X0)
| ~ object(X2)
| ~ object(X1)
| ~ property(X4)
| ~ is_the(X0,X3)
| ( X3 != X4 )
| ( X0 != X2 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_75]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i] :
( sP2(X1,X0)
| ~ object(X0)
| ~ property(X1)
| ~ is_the(X0,X1) ),
inference(unflattening,[status(thm)],[c_631]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i] :
( sP2(X1,X0)
| ~ is_the(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_632,c_53,c_52,c_632]) ).
tcf(c_3491,negated_conjecture,
~ exemplifies_property(existence,god),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_4015,plain,
exemplifies_property(conceivable,sK9),
inference(superposition,[status(thm)],[c_83,c_164]) ).
tcf(c_4042,plain,
sP2(none_greater,god),
inference(superposition,[status(thm)],[c_87,c_633]) ).
tcf(c_4137,plain,
( exemplifies_property(existence,god)
| object(sK10(god)) ),
inference(superposition,[status(thm)],[c_87,c_181]) ).
tcf(c_4138,plain,
object(sK10(god)),
inference(forward_subsumption_resolution,[status(thm)],[c_4137,c_3491]) ).
fof(f29,definition,
! [X0,X2] :
( sP2(X0,X2)
<=> ? [X3] :
( X3 = X2
& ! [X4] :
( ~ object(X4)
| ~ exemplifies_property(X0,X4)
| X4 = X3 )
& exemplifies_property(X0,X3)
& object(X3) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X2,X0,X1] :
( ~ sP3(X2,X0,X1)
| ( ( X1 = X2
& is_the(X1,X0) )
<=> sP2(X0,X2) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ object(X2)
| ~ object(X1)
| ~ property(X0)
| sP3(X2,X0,X1) ),
inference(definition_folding,[],[f20,f30,f29]) ).
fof(f41,plain,
! [X0,X2] :
( ( ~ sP2(X0,X2)
| ? [X3] :
( X3 = X2
& ! [X4] :
( ~ object(X4)
| ~ exemplifies_property(X0,X4)
| X4 = X3 )
& exemplifies_property(X0,X3)
& object(X3) ) )
& ( ! [X3] :
( X2 != X3
| ? [X4] :
( object(X4)
& exemplifies_property(X0,X4)
& X3 != X4 )
| ~ exemplifies_property(X0,X3)
| ~ object(X3) )
| sP2(X0,X2) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f42,plain,
! [X0,X1] :
( ( ~ sP2(X0,X1)
| ? [X4] :
( X1 = X4
& ! [X5] :
( ~ object(X5)
| ~ exemplifies_property(X0,X5)
| X4 = X5 )
& exemplifies_property(X0,X4)
& object(X4) ) )
& ( ! [X2] :
( X1 != X2
| ? [X3] :
( object(X3)
& exemplifies_property(X0,X3)
& X2 != X3 )
| ~ exemplifies_property(X0,X2)
| ~ object(X2) )
| sP2(X0,X1) ) ),
inference(rectify,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( ~ sP2(X0,X1)
| ( sK7(X0,X1) = X1
& ! [X5] :
( ~ object(X5)
| ~ exemplifies_property(X0,X5)
| sK7(X0,X1) = X5 )
& exemplifies_property(X0,sK7(X0,X1))
& object(sK7(X0,X1)) ) )
& ( ! [X2] :
( X1 != X2
| ( object(sK6(X0,X2))
& exemplifies_property(X0,sK6(X0,X2))
& sK6(X0,X2) != X2 )
| ~ exemplifies_property(X0,X2)
| ~ object(X2) )
| sP2(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X3,sK6(X0,X2)),skolemize(X4,sK7(X0,X1))],[f42]) ).
fof(f69,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| sK7(X0,X1) = X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f70,plain,
! [X0,X1,X5] :
( ~ sP2(X0,X1)
| ~ object(X5)
| ~ exemplifies_property(X0,X5)
| sK7(X0,X1) = X5 ),
inference(cnf_transformation,[],[f43]) ).
fof(f71,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| exemplifies_property(X0,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( exemplifies_property(X0,sK7(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(X0,X2) = X1 )
| ~ object(X1)
| ~ sP2(X0,X2)
| ~ exemplifies_property(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( ( sK7(X0,X1) = X1 )
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(X0,X2) = X1 )
| ~ exemplifies_property(X0,X1)
| ~ sP2(X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_51,c_73]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK7(X0,X2) = X1 )
| ~ sP2(X0,X2)
| ~ exemplifies_property(X0,X1) ),
inference(renaming,[status(thm)],[c_127]) ).
tcf(c_4083,plain,
! [X0: $i,X1: $i] :
( property(X0)
| ~ sP2(X0,X1) ),
inference(superposition,[status(thm)],[c_72,c_50]) ).
tcf(c_4102,plain,
sK7(none_greater,god) = god,
inference(superposition,[status(thm)],[c_4042,c_74]) ).
tcf(c_4422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ object(X2)
| ~ object(X1)
| ~ sP2(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_598,c_598,c_4083]) ).
tcf(c_4455,plain,
! [X0: $i] :
( ( sK7(none_greater,X0) = sK9 )
| ~ sP2(none_greater,X0) ),
inference(superposition,[status(thm)],[c_83,c_128]) ).
tcf(c_4533,plain,
sK7(none_greater,god) = sK9,
inference(superposition,[status(thm)],[c_4042,c_4455]) ).
tcf(c_4534,plain,
sK9 = god,
inference(demodulation,[status(thm)],[c_4102,c_4533]) ).
tcf(c_4539,plain,
object(sK10(sK9)),
inference(demodulation,[status(thm)],[c_4138,c_4534]) ).
tcf(c_4540,plain,
sP2(none_greater,sK9),
inference(demodulation,[status(thm)],[c_4042,c_4534]) ).
tcf(c_4542,plain,
is_the(sK9,none_greater),
inference(demodulation,[status(thm)],[c_87,c_4534]) ).
tcf(c_4543,plain,
~ exemplifies_property(existence,sK9),
inference(demodulation,[status(thm)],[c_3491,c_4534]) ).
tcf(c_4550,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ object(sK9)
| ~ object(X0) ),
inference(superposition,[status(thm)],[c_4540,c_4422]) ).
tcf(c_4554,plain,
! [X0: $i] :
( ( X0 = sK9 )
| ~ object(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4550,c_82]) ).
tcf(c_4582,plain,
sK10(sK9) = sK9,
inference(superposition,[status(thm)],[c_4539,c_4554]) ).
tcf(c_4593,plain,
( exemplifies_property(existence,sK9)
| exemplifies_relation(greater_than,sK9,sK9)
| ~ is_the(sK9,none_greater) ),
inference(superposition,[status(thm)],[c_4582,c_183]) ).
tcf(c_4595,plain,
exemplifies_relation(greater_than,sK9,sK9),
inference(forward_subsumption_resolution,[status(thm)],[c_4593,c_4543,c_4542]) ).
tcf(c_4596,plain,
( ~ exemplifies_property(conceivable,sK9)
| ~ exemplifies_property(none_greater,sK9) ),
inference(superposition,[status(thm)],[c_4595,c_355]) ).
tcf(c_4597,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4596,c_4015,c_83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI015+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 06:06:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 3.32/1.28 % SZS status Started for theBenchmark.p
% 3.32/1.28 % SZS status Theorem for theBenchmark.p
% 3.32/1.28
% 3.32/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.32/1.28
% 3.32/1.28 % ------ iProver source info
% 3.32/1.28
% 3.32/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 3.32/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.32/1.28 % git: non_committed_changes: false
% 3.32/1.28
% 3.32/1.28 % ------ Parsing...
% 3.32/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.32/1.28
% 3.32/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.32/1.28
% 3.32/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.32/1.28
% 3.32/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.32/1.28 % ------ Proving...
% 3.32/1.28 % ------ Problem Properties
% 3.32/1.28
% 3.32/1.28 %
% 3.32/1.28 % clauses 38
% 3.32/1.28 % conjectures 1
% 3.32/1.28 % EPR 18
% 3.32/1.28 % Horn 27
% 3.32/1.28 % unary 4
% 3.32/1.28 % binary 13
% 3.32/1.28 % lits 106
% 3.32/1.28 % lits eq 7
% 3.32/1.28 % fd_pure 0
% 3.32/1.28 % fd_pseudo 0
% 3.32/1.28 % fd_cond 0
% 3.32/1.28 % fd_pseudo_cond 4
% 3.32/1.28 % AC symbols 0
% 3.32/1.28
% 3.32/1.28 % ------ Schedule dynamic 5 is on
% 3.32/1.28
% 3.32/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.32/1.28
% 3.32/1.28
% 3.32/1.28 % ------
% 3.32/1.28 % Current options:
% 3.32/1.28 % ------
% 3.32/1.28
% 3.32/1.28
% 3.32/1.28 %
% 3.32/1.28
% 3.32/1.28 % ------ Proving...
% 3.32/1.28 %
% 3.32/1.28
% 3.32/1.28 % SZS status Theorem for theBenchmark.p
% 3.32/1.28
% 3.32/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.32/1.29
% 3.32/1.29
%------------------------------------------------------------------------------