%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PHI022+1 : TPTP v9.3.1. Released v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 1.15s 1.16s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 43 ( 5 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 95 ( 40 ~; 35 |; 10 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn 30 !; 1 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( selfCaused(X0)
<=> ( natureConcOnlyByExistence(X0)
& essenceInvExistence(X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PHI002+0.ax',self_caused) ).
fof(f3,axiom,
! [X0] :
( substance(X0)
<=> ( conceivedThruItself(X0)
& inItself(X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PHI002+0.ax',substance) ).
fof(f18,axiom,
! [X0] :
( substance(X0)
=> being(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',has_substance_being) ).
fof(f19,axiom,
! [X0] :
( inItself(X0)
=> selfCaused(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_in_itself_is_self_caused) ).
fof(f20,axiom,
! [X0] :
( being(X0)
=> hasEssence(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',being_has_essense) ).
fof(f21,axiom,
! [X0] :
( ( hasEssence(X0)
& essenceInvExistence(X0) )
=> exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',essence_involves_existence_exists) ).
fof(f22,conjecture,
! [X0] :
( substance(X0)
=> exists(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',has_substance_exists) ).
fof(f23,negated_conjecture,
~ ! [X0] :
( substance(X0)
=> exists(X0) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
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(f36,plain,
! [X0] :
( ~ substance(X0)
| being(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f37,plain,
! [X0] :
( ~ inItself(X0)
| selfCaused(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f38,plain,
! [X0] :
( ~ being(X0)
| hasEssence(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0] :
( ~ hasEssence(X0)
| ~ essenceInvExistence(X0)
| exists(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f40,plain,
! [X0] :
( ~ hasEssence(X0)
| ~ essenceInvExistence(X0)
| exists(X0) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
? [X0] :
( substance(X0)
& ~ exists(X0) ),
inference(ennf_transformation,[],[f23]) ).
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(f56,plain,
( substance(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(f94,plain,
! [X0] :
( ~ substance(X0)
| being(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f95,plain,
! [X0] :
( ~ inItself(X0)
| selfCaused(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f96,plain,
! [X0] :
( ~ being(X0)
| hasEssence(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f97,plain,
! [X0] :
( ~ hasEssence(X0)
| ~ essenceInvExistence(X0)
| exists(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f98,plain,
substance(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f99,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_85,plain,
! [X0: $i] :
( being(X0)
| ~ substance(X0) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_86,plain,
! [X0: $i] :
( selfCaused(X0)
| ~ inItself(X0) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_87,plain,
! [X0: $i] :
( hasEssence(X0)
| ~ being(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_88,plain,
! [X0: $i] :
( exists(X0)
| ~ hasEssence(X0)
| ~ essenceInvExistence(X0) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_89,negated_conjecture,
~ exists(sK0),
inference(cnf_transformation,[],[f99]) ).
tcf(c_90,negated_conjecture,
substance(sK0),
inference(cnf_transformation,[],[f98]) ).
tcf(c_92,plain,
( hasEssence(sK0)
| ~ being(sK0) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_93,plain,
( selfCaused(sK0)
| ~ inItself(sK0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_94,plain,
( being(sK0)
| ~ substance(sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_98,plain,
( inItself(sK0)
| ~ substance(sK0) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_99,plain,
( essenceInvExistence(sK0)
| ~ selfCaused(sK0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_108,plain,
( exists(sK0)
| ~ hasEssence(sK0)
| ~ essenceInvExistence(sK0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_109,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_108,c_99,c_98,c_94,c_93,c_92,c_89,c_90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PHI022+1 : TPTP v9.3.1. Released v7.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n020.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 06:07:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 1.15/1.16 % SZS status Started for theBenchmark.p
% 1.15/1.16 % SZS status Theorem for theBenchmark.p
% 1.15/1.16
% 1.15/1.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.15/1.16
% 1.15/1.16 % ------ iProver source info
% 1.15/1.16
% 1.15/1.16 % git: date: 2026-07-19 20:42:38 +0200
% 1.15/1.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.15/1.16 % git: non_committed_changes: false
% 1.15/1.16
% 1.15/1.16 % ------ Parsing...
% 1.15/1.16 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_eq
% 1.15/1.16 %
% 1.15/1.16
% 1.15/1.16 % ------ Preprocessing...%
% 1.15/1.16
% 1.15/1.16 % SZS status Theorem for theBenchmark.p
% 1.15/1.16
% 1.15/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.15/1.16
% 1.15/1.16
%------------------------------------------------------------------------------