%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN045+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 03:38:57 PM UTC 2026
% Result : Theorem 1.13s 11.50s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f20ERROR: Could not build tree for root c_59ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ( r
& q )
| p )
<=> ( ( r
| p )
& ( q
| p ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel13) ).
fof(f2,negated_conjecture,
~ ( ( ( r
& q )
| p )
<=> ( ( r
| p )
& ( q
| p ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( ( r
& q )
| p )
<~> ( ( r
| p )
& ( q
| p ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
( ( ( r
& q )
| p
| sP0 )
& ( ( ( ~ r
| ~ q )
& ~ p )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f9,plain,
( ( ( r
& q )
| p
| sP0 )
& ( ( ( ~ r
| ~ q )
& ~ p )
| ~ sP0 ) ),
inference(flattening,[],[f8]) ).
fof(f16,plain,
( r
| p
| sP0 ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
( q
| p
| sP0 ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( ~ r
| ~ q
| ~ sP0 ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
( ~ p
| ~ sP0 ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_49,plain,
( sP0
| ~ p ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_55,negated_conjecture,
( ~ p
| ~ sP0 ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_56,negated_conjecture,
( ~ q
| ~ r
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_57,negated_conjecture,
( q
| p
| sP0 ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_58,negated_conjecture,
( r
| p
| sP0 ),
inference(cnf_transformation,[],[f16]) ).
fof(f4,definition,
( sP0
<=> ( ( r
| p )
& ( q
| p ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f5,plain,
( ( ( r
& q )
| p )
<~> sP0 ),
inference(definition_folding,[],[f3,f4]) ).
fof(f6,plain,
( ( ~ sP0
| ( ( r
| p )
& ( q
| p ) ) )
& ( ( ~ r
& ~ p )
| ( ~ q
& ~ p )
| sP0 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f7,plain,
( ( ~ sP0
| ( ( r
| p )
& ( q
| p ) ) )
& ( ( ~ r
& ~ p )
| ( ~ q
& ~ p )
| sP0 ) ),
inference(flattening,[],[f6]) ).
fof(f10,plain,
( ~ sP0
| r
| p ),
inference(cnf_transformation,[],[f7]) ).
fof(f11,plain,
( ~ sP0
| q
| p ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
( ~ r
| ~ q
| sP0 ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_52,plain,
( sP0
| ~ q
| ~ r ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_53,plain,
( q
| p
| ~ sP0 ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_54,plain,
( r
| p
| ~ sP0 ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_59,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_56,c_52,c_53,c_54,c_55,c_49,c_57,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN045+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/10.59 % Computer : n002.cluster.edu
% 0.10/10.59 % Model : x86_64 x86_64
% 0.10/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.59 % Memory : 8046.5625MB
% 0.10/10.59 % OS : Linux 6.8.0-71-generic
% 0.10/10.59 % CPULimit : 300
% 0.10/10.59 % WCLimit : 300
% 0.10/10.59 % DateTime : Thu Sep 24 23:58:34 UTC 2026
% 0.10/10.60 % CPUTime :
% 0.10/10.60 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.63 Running first-order theorem proving
% 0.14/10.63 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
% 0.14/10.65
% 0.14/10.65 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.65
% 0.14/10.65 % Detected problem language: tptp
% 0.14/10.66 % Proving...
% 1.13/11.50 % SZS status Started for theBenchmark.p
% 1.13/11.50 % SZS status Theorem for theBenchmark.p
% 1.13/11.50
% 1.13/11.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.13/11.50
% 1.13/11.50 % ------ iProver source info
% 1.13/11.50
% 1.13/11.50 % git: date: 2026-07-19 20:42:38 +0200
% 1.13/11.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.13/11.50 % git: non_committed_changes: false
% 1.13/11.50
% 1.13/11.50 % ------ Parsing...
% 1.13/11.50 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.13/11.50 %
% 1.13/11.50
% 1.13/11.50 % ------ Preprocessing...%
% 1.13/11.50
% 1.13/11.50 % SZS status Theorem for theBenchmark.p
% 1.13/11.50
% 1.13/11.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.13/11.50
% 1.13/11.50
%------------------------------------------------------------------------------