%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN392+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 03:39:56 PM UTC 2026
% Result : Theorem 0.19s 6.26s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 1 unt; 1 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 128 ( 48 ~; 56 |; 15 &)
% ( 7 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( p1
<=> p2 )
<=> ( ( p1
| ~ p2 )
& ( ~ p1
| p2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel14) ).
fof(f2,negated_conjecture,
~ ( ( p1
<=> p2 )
<=> ( ( p1
| ~ p2 )
& ( ~ p1
| p2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ( p1
<=> p2 )
<~> ( ( p1
| ~ p2 )
& ( ~ p1
| p2 ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
( ( ( ( ~ p1
| p2 )
& ( ~ p2
| p1 ) )
| sP0 )
& ( ( ( p1
| p2 )
& ( ~ p1
| ~ p2 ) )
| ~ sP0 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f15,plain,
( ~ p1
| p2
| sP0 ),
inference(cnf_transformation,[],[f8]) ).
fof(f16,plain,
( ~ p2
| p1
| sP0 ),
inference(cnf_transformation,[],[f8]) ).
fof(f17,plain,
( p1
| p2
| ~ sP0 ),
inference(cnf_transformation,[],[f8]) ).
fof(f18,plain,
( ~ p1
| ~ p2
| ~ sP0 ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_53,negated_conjecture,
( ~ p1
| ~ p2
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_54,negated_conjecture,
( p1
| p2
| ~ sP0 ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_55,negated_conjecture,
( p1
| sP0
| ~ p2 ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_56,negated_conjecture,
( p2
| sP0
| ~ p1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f4,definition,
( sP0
<=> ( ( p1
| ~ p2 )
& ( ~ p1
| p2 ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f5,plain,
( ( p1
<=> p2 )
<~> sP0 ),
inference(definition_folding,[],[f3,f4]) ).
fof(f6,plain,
( ( ~ sP0
| ( ( p1
| ~ p2 )
& ( ~ p1
| p2 ) ) )
& ( ( ~ p1
& p2 )
| ( p1
& ~ p2 )
| sP0 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f7,plain,
( ( ~ sP0
| ( ( p1
| ~ p2 )
& ( ~ p1
| p2 ) ) )
& ( ( ~ p1
& p2 )
| ( p1
& ~ p2 )
| sP0 ) ),
inference(flattening,[],[f6]) ).
fof(f9,plain,
( ~ sP0
| p1
| ~ p2 ),
inference(cnf_transformation,[],[f7]) ).
fof(f10,plain,
( ~ sP0
| ~ p1
| p2 ),
inference(cnf_transformation,[],[f7]) ).
fof(f12,plain,
( p2
| p1
| sP0 ),
inference(cnf_transformation,[],[f7]) ).
fof(f13,plain,
( ~ p1
| ~ p2
| sP0 ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_49,plain,
( sP0
| ~ p1
| ~ p2 ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_50,plain,
( p1
| p2
| sP0 ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_51,plain,
( p2
| ~ p1
| ~ sP0 ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_52,plain,
( p1
| ~ p2
| ~ sP0 ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_57,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_53,c_49,c_51,c_52,c_54,c_55,c_56,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN392+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/5.36 % Computer : n002.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Fri Sep 25 01:07:12 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.40 Running first-order theorem proving
% 0.13/5.40 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
% 0.13/5.41
% 0.13/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.41
% 0.13/5.41 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 0.19/6.26 % SZS status Started for theBenchmark.p
% 0.19/6.26 % SZS status Theorem for theBenchmark.p
% 0.19/6.26
% 0.19/6.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.19/6.26
% 0.19/6.26 % ------ iProver source info
% 0.19/6.26
% 0.19/6.26 % git: date: 2026-07-19 20:42:38 +0200
% 0.19/6.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.19/6.26 % git: non_committed_changes: false
% 0.19/6.26
% 0.19/6.26 % ------ Parsing...
% 0.19/6.26 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.19/6.26 %
% 0.19/6.26
% 0.19/6.26 % ------ Preprocessing...%
% 0.19/6.26
% 0.19/6.26 % SZS status Theorem for theBenchmark.p
% 0.19/6.26
% 0.19/6.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.19/6.27
% 0.19/6.27
%------------------------------------------------------------------------------