%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PHI014+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 02:30:29 PM UTC 2026
% Result : Theorem 0.44s 1.29s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 53 ( 9 unt; 0 def)
% Number of atoms : 221 ( 0 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 291 ( 123 ~; 126 |; 32 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 8 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 82 ( 0 sgn 74 !; 8 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( property(X0)
=> ( ? [X1] :
( is_the(X1,X0)
& object(X1) )
=> ! [X2] :
( object(X2)
=> ( is_the(X2,X0)
=> exemplifies_property(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_theorem_2) ).
fof(f2,axiom,
! [X0,X1] :
( is_the(X0,X1)
=> ( object(X0)
& property(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(f3,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/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f5,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).
fof(f6,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
fof(f7,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X0] :
( ~ property(X0)
| ! [X1] :
( ~ is_the(X1,X0)
| ~ object(X1) )
| ! [X2] :
( ~ object(X2)
| ~ is_the(X2,X0)
| exemplifies_property(X0,X2) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f10,plain,
! [X0] :
( ~ property(X0)
| ! [X1] :
( ~ is_the(X1,X0)
| ~ object(X1) )
| ! [X2] :
( ~ object(X2)
| ~ is_the(X2,X0)
| exemplifies_property(X0,X2) ) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| ( object(X0)
& property(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f12,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,[],[f3]) ).
fof(f13,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,[],[f4]) ).
fof(f14,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,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ~ property(X0)
| ! [X2] :
( ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ object(X1)
| ~ is_the(X1,X0)
| exemplifies_property(X0,X1) ) ),
inference(rectify,[],[f10]) ).
fof(f16,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,[],[f12]) ).
fof(f17,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,[],[f16]) ).
fof(f18,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,[],[f17]) ).
fof(f19,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,sK0(X0))
& exemplifies_relation(greater_than,sK0(X0),X0)
& object(sK0(X0)) )
| ~ exemplifies_property(conceivable,X0)
| exemplifies_property(none_greater,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f18]) ).
fof(f20,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ( exemplifies_property(conceivable,sK1(X0))
& exemplifies_relation(greater_than,sK1(X0),X0)
& object(sK1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f14]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ property(X0)
| ~ is_the(X2,X0)
| ~ object(X2)
| ~ object(X1)
| ~ is_the(X1,X0)
| exemplifies_property(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f24,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,[],[f19]) ).
fof(f29,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(conceivable,sK1(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f30,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| exemplifies_relation(greater_than,sK1(X0),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f31,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| object(sK1(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f32,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f8]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( exemplifies_property(X1,X0)
| ~ property(X1)
| ~ object(X2)
| ~ object(X0)
| ~ is_the(X2,X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_56,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,[],[f24]) ).
tcf(c_57,plain,
! [X0: $i] :
( object(sK1(X0))
| exemplifies_property(existence,X0)
| ~ object(X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_58,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| exemplifies_relation(greater_than,sK1(X0),X0)
| ~ object(X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_59,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| exemplifies_property(conceivable,sK1(X0))
| ~ object(X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_60,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f32]) ).
tcf(c_61,negated_conjecture,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f33]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( exemplifies_property(X1,X0)
| ~ is_the(X2,X1)
| ~ is_the(X0,X1)
| ~ object(X2) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_51,c_50,c_49]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i] :
( exemplifies_property(X1,X0)
| ~ object(X2)
| ~ is_the(X2,X1)
| ~ is_the(X0,X1) ),
inference(renaming,[status(thm)],[c_73]) ).
tcf(c_88,plain,
! [X0: $i] :
( object(sK1(X0))
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(backward_subsumption_resolution,[status(thm)],[c_57,c_51]) ).
tcf(c_89,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| exemplifies_property(conceivable,sK1(X0))
| ~ is_the(X0,none_greater) ),
inference(backward_subsumption_resolution,[status(thm)],[c_59,c_51]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( exemplifies_property(X1,X0)
| ~ is_the(X2,X1)
| ~ is_the(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_74,c_51]) ).
tcf(c_91,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| exemplifies_relation(greater_than,sK1(X0),X0)
| ~ is_the(X0,none_greater) ),
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_51]) ).
tcf(c_161,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| ~ object(X0)
| ~ object(sK1(X0))
| ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,sK1(X0)) ),
inference(resolution,[status(thm)],[c_56,c_91]) ).
tcf(c_163,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ~ is_the(X0,none_greater) ),
inference(global_subsumption_just,[status(thm)],[c_161,c_89,c_88,c_161]) ).
tcf(c_164,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| ~ object(X0)
| ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X0) ),
inference(renaming,[status(thm)],[c_163]) ).
tcf(c_174,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_164,c_51]) ).
tcf(c_252,plain,
! [X0_iProver_is_the_1: iProver_is_the_1] :
( exemplifies_property(existence,X0_iProver_is_the_1)
| ~ is_the(X0_iProver_is_the_1,none_greater)
| ~ exemplifies_property(none_greater,X0_iProver_is_the_1) ),
inference(subtyping,[status(esa)],[c_174]) ).
tcf(c_253,plain,
! [X0_iProver_exemplifies_property_1: iProver_exemplifies_property_1,X0_iProver_is_the_1: iProver_is_the_1,X1_iProver_is_the_1: iProver_is_the_1] :
( exemplifies_property(X0_iProver_exemplifies_property_1,X0_iProver_is_the_1)
| ~ is_the(X1_iProver_is_the_1,X0_iProver_exemplifies_property_1)
| ~ is_the(X0_iProver_is_the_1,X0_iProver_exemplifies_property_1) ),
inference(subtyping,[status(esa)],[c_90]) ).
tcf(c_257,plain,
( exemplifies_property(existence,god)
| ~ is_the(god,none_greater)
| ~ exemplifies_property(none_greater,god) ),
inference(instantiation,[status(thm)],[c_252]) ).
tcf(c_258,plain,
( exemplifies_property(none_greater,god)
| ~ is_the(god,none_greater) ),
inference(instantiation,[status(thm)],[c_253]) ).
tcf(c_259,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_258,c_257,c_61,c_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI014+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % 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 06:01:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 0.44/1.29 % SZS status Started for theBenchmark.p
% 0.44/1.29 % SZS status Theorem for theBenchmark.p
% 0.44/1.29
% 0.44/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.44/1.29
% 0.44/1.29 % ------ iProver source info
% 0.44/1.29
% 0.44/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.44/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.44/1.29 % git: non_committed_changes: false
% 0.44/1.29
% 0.44/1.29 % ------ Parsing...
% 0.44/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.44/1.29
% 0.44/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 6 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.44/1.29
% 0.44/1.29 % ------ Preprocessing...% ------ preprocesses with Option_epr_horn
% 0.44/1.29 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.44/1.29 % ------ Proving...
% 0.44/1.29 % ------ Problem Properties
% 0.44/1.29
% 0.44/1.29 %
% 0.44/1.29 % clauses 4
% 0.44/1.29 % conjectures 1
% 0.44/1.29 % EPR 4
% 0.44/1.29 % Horn 4
% 0.44/1.29 % unary 2
% 0.44/1.29 % binary 0
% 0.44/1.29 % lits 8
% 0.44/1.29 % lits eq 0
% 0.44/1.29 % fd_pure 0
% 0.44/1.29 % fd_pseudo 0
% 0.44/1.29 % fd_cond 0
% 0.44/1.29 % fd_pseudo_cond 0
% 0.44/1.29 % AC symbols 0
% 0.44/1.29
% 0.44/1.29 % ------ Schedule EPR Horn non eq is on
% 0.44/1.29
% 0.44/1.29 % ------ no equalities: superposition off
% 0.44/1.29
% 0.44/1.29 % ------ Option_epr_horn Time Limit: Unbounded
% 0.44/1.29
% 0.44/1.29
% 0.44/1.29 % ------
% 0.44/1.29 % Current options:
% 0.44/1.29 % ------
% 0.44/1.29
% 0.44/1.29
% 0.44/1.29 %
% 0.44/1.29
% 0.44/1.29 % ------ Proving...
% 0.44/1.29 %
% 0.44/1.29
% 0.44/1.29 % SZS status Theorem for theBenchmark.p
% 0.44/1.29
% 0.44/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.29
% 0.44/1.29
%------------------------------------------------------------------------------