%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PHI013+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 : n007.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 0.55s 1.28s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 53 ( 11 unt; 0 def)
% Number of atoms : 221 ( 3 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 292 ( 124 ~; 126 |; 32 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 7 ( 5 usr; 1 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(f2,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(f3,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(f4,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(f7,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(f8,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_god) ).
fof(f9,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',god_exists) ).
fof(f10,negated_conjecture,
~ exemplifies_property(existence,god),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f12,plain,
~ exemplifies_property(existence,god),
inference(flattening,[],[f10]) ).
fof(f15,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,[],[f2]) ).
fof(f16,plain,
! [X0] :
( ~ property(X0)
| ! [X1] :
( ~ is_the(X1,X0)
| ~ object(X1) )
| ! [X2] :
( ~ object(X2)
| ~ is_the(X2,X0)
| exemplifies_property(X0,X2) ) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| ( object(X0)
& property(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f18,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,[],[f4]) ).
fof(f21,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,[],[f7]) ).
fof(f22,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,[],[f21]) ).
fof(f25,plain,
! [X0] :
( ~ property(X0)
| ! [X2] :
( ~ is_the(X2,X0)
| ~ object(X2) )
| ! [X1] :
( ~ object(X1)
| ~ is_the(X1,X0)
| exemplifies_property(X0,X1) ) ),
inference(rectify,[],[f16]) ).
fof(f26,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,[],[f18]) ).
fof(f27,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,[],[f26]) ).
fof(f28,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,[],[f27]) ).
fof(f29,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,sK2(X0))
& exemplifies_relation(greater_than,sK2(X0),X0)
& object(sK2(X0)) )
| ~ exemplifies_property(conceivable,X0)
| exemplifies_property(none_greater,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f28]) ).
fof(f33,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ( exemplifies_property(conceivable,sK5(X0))
& exemplifies_relation(greater_than,sK5(X0),X0)
& object(sK5(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f22]) ).
fof(f40,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,[],[f25]) ).
fof(f41,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| object(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f42,plain,
! [X0,X1] :
( ~ is_the(X0,X1)
| property(X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f43,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,[],[f29]) ).
fof(f53,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| exemplifies_property(conceivable,sK5(X0)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f54,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| exemplifies_relation(greater_than,sK5(X0),X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f55,plain,
! [X0] :
( ~ object(X0)
| exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| object(sK5(X0)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f56,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f8]) ).
fof(f57,plain,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f12]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( exemplifies_property(X1,X2)
| ~ property(X1)
| ~ object(X2)
| ~ object(X0)
| ~ is_the(X2,X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( property(X1)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( object(X0)
| ~ is_the(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_62,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,[],[f43]) ).
tcf(c_68,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| object(sK5(X0))
| ~ object(X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_69,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| exemplifies_relation(greater_than,sK5(X0),X0)
| ~ object(X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_70,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| exemplifies_property(conceivable,sK5(X0))
| ~ object(X0)
| ~ is_the(X0,none_greater) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_71,plain,
is_the(god,none_greater),
inference(cnf_transformation,[],[f56]) ).
tcf(c_72,negated_conjecture,
~ exemplifies_property(existence,god),
inference(cnf_transformation,[],[f57]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i] :
( exemplifies_property(X1,X2)
| ~ is_the(X2,X1)
| ~ is_the(X0,X1)
| ~ object(X2) ),
inference(global_subsumption_just,[status(thm)],[c_55,c_57,c_56,c_55]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( exemplifies_property(X1,X2)
| ~ object(X2)
| ~ is_the(X2,X1)
| ~ is_the(X0,X1) ),
inference(renaming,[status(thm)],[c_93]) ).
tcf(c_112,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| exemplifies_property(conceivable,sK5(X0))
| ~ is_the(X0,none_greater) ),
inference(backward_subsumption_resolution,[status(thm)],[c_70,c_57]) ).
tcf(c_113,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| object(sK5(X0))
| ~ is_the(X0,none_greater) ),
inference(backward_subsumption_resolution,[status(thm)],[c_68,c_57]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i] :
( exemplifies_property(X1,X2)
| ~ is_the(X2,X1)
| ~ is_the(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_94,c_57]) ).
tcf(c_115,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| exemplifies_relation(greater_than,sK5(X0),X0)
| ~ is_the(X0,none_greater) ),
inference(backward_subsumption_resolution,[status(thm)],[c_69,c_57]) ).
tcf(c_427,plain,
! [X0: $i,X1: $i,X2: $i] :
( exemplifies_property(existence,X0)
| ~ object(X2)
| ~ object(X1)
| ~ is_the(X0,none_greater)
| ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_property(none_greater,X2)
| ( greater_than != greater_than )
| ( X0 != X2 )
| ( sK5(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_115]) ).
tcf(c_428,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| ~ object(X0)
| ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X0)
| ~ object(sK5(X0))
| ~ exemplifies_property(conceivable,sK5(X0)) ),
inference(unflattening,[status(thm)],[c_427]) ).
tcf(c_430,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| ~ object(X0)
| ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X0) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_113,c_112,c_428]) ).
tcf(c_441,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater)
| ~ exemplifies_property(none_greater,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_430,c_57]) ).
tcf(c_1006,negated_conjecture,
~ exemplifies_property(existence,god),
inference(demodulation,[status(thm)],[c_72]) ).
tcf(c_1448,plain,
! [X0: $i] :
( exemplifies_property(none_greater,X0)
| ~ is_the(X0,none_greater) ),
inference(superposition,[status(thm)],[c_71,c_114]) ).
tcf(c_1529,plain,
! [X0: $i] :
( exemplifies_property(existence,X0)
| ~ is_the(X0,none_greater) ),
inference(global_subsumption_just,[status(thm)],[c_441,c_441,c_1448]) ).
tcf(c_1536,plain,
exemplifies_property(existence,god),
inference(superposition,[status(thm)],[c_71,c_1529]) ).
tcf(c_1537,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1536,c_1006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI013+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n007.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 06:03:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.42
% 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...
% 0.55/1.28 % SZS status Started for theBenchmark.p
% 0.55/1.28 % SZS status Theorem for theBenchmark.p
% 0.55/1.28
% 0.55/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.55/1.28
% 0.55/1.28 % ------ iProver source info
% 0.55/1.28
% 0.55/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 0.55/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.55/1.28 % git: non_committed_changes: false
% 0.55/1.28
% 0.55/1.28 % ------ Parsing...
% 0.55/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.55/1.28
% 0.55/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 0.55/1.28
% 0.55/1.28 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.55/1.28
% 0.55/1.28 % ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 0.55/1.28 % ------ Proving...
% 0.55/1.28 % ------ Problem Properties
% 0.55/1.28
% 0.55/1.28 %
% 0.55/1.28 % clauses 24
% 0.55/1.28 % conjectures 1
% 0.55/1.28 % EPR 14
% 0.55/1.28 % Horn 15
% 0.55/1.28 % unary 4
% 0.55/1.28 % binary 3
% 0.55/1.28 % lits 76
% 0.55/1.28 % lits eq 3
% 0.55/1.28 % fd_pure 0
% 0.55/1.28 % fd_pseudo 0
% 0.55/1.28 % fd_cond 1
% 0.55/1.28 % fd_pseudo_cond 0
% 0.55/1.28 % AC symbols 0
% 0.55/1.28
% 0.55/1.28 % ------ Schedule dynamic 5 is on
% 0.55/1.28
% 0.55/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.55/1.28
% 0.55/1.28
% 0.55/1.28 % ------
% 0.55/1.28 % Current options:
% 0.55/1.28 % ------
% 0.55/1.28
% 0.55/1.28
% 0.55/1.28 %
% 0.55/1.28
% 0.55/1.28 % ------ Proving...
% 0.55/1.28 %
% 0.55/1.28
% 0.55/1.28 % SZS status Theorem for theBenchmark.p
% 0.55/1.28
% 0.55/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.55/1.28
% 0.55/1.28
%------------------------------------------------------------------------------