%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PHI023+1 : TPTP v9.3.1. Released v7.4.0.
% 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 02:30:30 PM UTC 2026
% Result : Theorem 1.18s 1.27s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 54 ( 5 unt; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 156 ( 59 ~; 54 |; 29 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 44 ( 0 sgn 43 !; 1 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( selfCaused(X0)
<=> ( natureConcOnlyByExistence(X0)
& essenceInvExistence(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/PHI002+0.ax',self_caused) ).
fof(f3,axiom,
! [X0] :
( substance(X0)
<=> ( conceivedThruItself(X0)
& inItself(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/PHI002+0.ax',substance) ).
fof(f6,axiom,
! [X0] :
( god(X0)
<=> ( absolutelyInfinite(X0)
& being(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/PHI002+0.ax',god) ).
fof(f7,axiom,
! [X0,X1] :
( absolutelyInfinite(X0)
<=> ( ( attributeOf(X1,X0)
=> ( expressesInfiniteEssentiality(X1)
& expressesEternalEssentiality(X1) ) )
& constInInfAttributes(X0)
& substance(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/PHI002+0.ax',absolutely_infinite) ).
fof(f18,axiom,
! [X0] :
( inItself(X0)
=> selfCaused(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_in_itself_is_self_caused) ).
fof(f19,axiom,
! [X0] :
( being(X0)
=> hasEssence(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',being_has_essense) ).
fof(f20,axiom,
! [X0] :
( ( hasEssence(X0)
& essenceInvExistence(X0) )
=> exists(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',essence_involves_existence_exists) ).
fof(f21,conjecture,
! [X0] :
( god(X0)
=> exists(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',if_god_then_exists) ).
fof(f22,negated_conjecture,
~ ! [X0] :
( god(X0)
=> exists(X0) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f23,plain,
! [X0] :
( god(X0)
=> ( absolutelyInfinite(X0)
& being(X0) ) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f24,plain,
! [X0] :
( selfCaused(X0)
=> ( natureConcOnlyByExistence(X0)
& essenceInvExistence(X0) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f25,plain,
! [X0] :
( selfCaused(X0)
=> essenceInvExistence(X0) ),
inference(pure_predicate_removal,[],[f24]) ).
fof(f31,plain,
! [X0] :
( ~ selfCaused(X0)
| essenceInvExistence(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f32,plain,
! [X0] :
( ~ god(X0)
| ( absolutelyInfinite(X0)
& being(X0) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f33,plain,
! [X0,X1] :
( absolutelyInfinite(X0)
<=> ( ( ~ attributeOf(X1,X0)
| ( expressesInfiniteEssentiality(X1)
& expressesEternalEssentiality(X1) ) )
& constInInfAttributes(X0)
& substance(X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f37,plain,
! [X0] :
( ~ inItself(X0)
| selfCaused(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f38,plain,
! [X0] :
( ~ being(X0)
| hasEssence(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f39,plain,
! [X0] :
( ~ hasEssence(X0)
| ~ essenceInvExistence(X0)
| exists(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f40,plain,
! [X0] :
( ~ hasEssence(X0)
| ~ essenceInvExistence(X0)
| exists(X0) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
? [X0] :
( god(X0)
& ~ exists(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f44,plain,
! [X0] :
( ( ~ substance(X0)
| ( conceivedThruItself(X0)
& inItself(X0) ) )
& ( ~ conceivedThruItself(X0)
| ~ inItself(X0)
| substance(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f45,plain,
! [X0] :
( ( ~ substance(X0)
| ( conceivedThruItself(X0)
& inItself(X0) ) )
& ( ~ conceivedThruItself(X0)
| ~ inItself(X0)
| substance(X0) ) ),
inference(flattening,[],[f44]) ).
fof(f48,plain,
! [X0,X1] :
( ( ~ absolutelyInfinite(X0)
| ( ( ~ attributeOf(X1,X0)
| ( expressesInfiniteEssentiality(X1)
& expressesEternalEssentiality(X1) ) )
& constInInfAttributes(X0)
& substance(X0) ) )
& ( ( attributeOf(X1,X0)
& ( ~ expressesInfiniteEssentiality(X1)
| ~ expressesEternalEssentiality(X1) ) )
| ~ constInInfAttributes(X0)
| ~ substance(X0)
| absolutelyInfinite(X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f49,plain,
! [X0,X1] :
( ( ~ absolutelyInfinite(X0)
| ( ( ~ attributeOf(X1,X0)
| ( expressesInfiniteEssentiality(X1)
& expressesEternalEssentiality(X1) ) )
& constInInfAttributes(X0)
& substance(X0) ) )
& ( ( attributeOf(X1,X0)
& ( ~ expressesInfiniteEssentiality(X1)
| ~ expressesEternalEssentiality(X1) ) )
| ~ constInInfAttributes(X0)
| ~ substance(X0)
| absolutelyInfinite(X0) ) ),
inference(flattening,[],[f48]) ).
fof(f56,plain,
( god(sK0)
& ~ exists(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f41]) ).
fof(f57,plain,
! [X0] :
( ~ selfCaused(X0)
| essenceInvExistence(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f62,plain,
! [X0] :
( ~ substance(X0)
| inItself(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f70,plain,
! [X0] :
( ~ god(X0)
| absolutelyInfinite(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f71,plain,
! [X0] :
( ~ god(X0)
| being(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f75,plain,
! [X0] :
( ~ absolutelyInfinite(X0)
| substance(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f96,plain,
! [X0] :
( ~ inItself(X0)
| selfCaused(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f97,plain,
! [X0] :
( ~ being(X0)
| hasEssence(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f98,plain,
! [X0] :
( ~ hasEssence(X0)
| ~ essenceInvExistence(X0)
| exists(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f99,plain,
god(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f100,plain,
~ exists(sK0),
inference(cnf_transformation,[],[f56]) ).
tcf(c_49,plain,
! [X0: $i] :
( essenceInvExistence(X0)
| ~ selfCaused(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_54,plain,
! [X0: $i] :
( inItself(X0)
| ~ substance(X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_62,plain,
! [X0: $i] :
( being(X0)
| ~ god(X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_63,plain,
! [X0: $i] :
( absolutelyInfinite(X0)
| ~ god(X0) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_66,plain,
! [X0: $i] :
( substance(X0)
| ~ absolutelyInfinite(X0) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_87,plain,
! [X0: $i] :
( selfCaused(X0)
| ~ inItself(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_88,plain,
! [X0: $i] :
( hasEssence(X0)
| ~ being(X0) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_89,plain,
! [X0: $i] :
( exists(X0)
| ~ hasEssence(X0)
| ~ essenceInvExistence(X0) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_90,negated_conjecture,
~ exists(sK0),
inference(cnf_transformation,[],[f100]) ).
tcf(c_91,negated_conjecture,
god(sK0),
inference(cnf_transformation,[],[f99]) ).
tcf(c_93,plain,
( hasEssence(sK0)
| ~ being(sK0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_94,plain,
( selfCaused(sK0)
| ~ inItself(sK0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_97,plain,
( substance(sK0)
| ~ absolutelyInfinite(sK0) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_98,plain,
( absolutelyInfinite(sK0)
| ~ god(sK0) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_99,plain,
( being(sK0)
| ~ god(sK0) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_101,plain,
( inItself(sK0)
| ~ substance(sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_102,plain,
( essenceInvExistence(sK0)
| ~ selfCaused(sK0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_111,plain,
( exists(sK0)
| ~ hasEssence(sK0)
| ~ essenceInvExistence(sK0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_112,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_111,c_102,c_101,c_99,c_98,c_97,c_94,c_93,c_90,c_91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI023+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 06:06:27 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 1.18/1.27 % SZS status Started for theBenchmark.p
% 1.18/1.27 % SZS status Theorem for theBenchmark.p
% 1.18/1.27
% 1.18/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.18/1.27
% 1.18/1.27 % ------ iProver source info
% 1.18/1.27
% 1.18/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.18/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.18/1.27 % git: non_committed_changes: false
% 1.18/1.27
% 1.18/1.27 % ------ Parsing...
% 1.18/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_eq
% 1.18/1.27 %
% 1.18/1.27
% 1.18/1.27 % ------ Preprocessing...%
% 1.18/1.27
% 1.18/1.27 % SZS status Theorem for theBenchmark.p
% 1.18/1.27
% 1.18/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.18/1.27
% 1.18/1.27
%------------------------------------------------------------------------------