%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN044+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 : n006.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 1.10s 1.28s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 1 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 19 ~; 23 |; 3 &)
% ( 2 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 4 ( 3 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,axiom,
( q
=> r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_1) ).
fof(f2,axiom,
( r
=> ( q
& p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_2) ).
fof(f3,axiom,
( p
=> ( r
| q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10_3) ).
fof(f4,conjecture,
( p
<=> q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel10) ).
fof(f5,negated_conjecture,
~ ( p
<=> q ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
( ~ q
| r ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
( ~ r
| ( q
& p ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
( ~ p
| r
| q ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
( ~ p
| r
| q ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( p
<~> q ),
inference(ennf_transformation,[],[f5]) ).
fof(f11,plain,
( ( p
| q )
& ( ~ p
| ~ q ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f12,plain,
( ~ q
| r ),
inference(cnf_transformation,[],[f6]) ).
fof(f13,plain,
( ~ r
| q ),
inference(cnf_transformation,[],[f7]) ).
fof(f14,plain,
( ~ r
| p ),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
( ~ p
| r
| q ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
( p
| q ),
inference(cnf_transformation,[],[f11]) ).
fof(f17,plain,
( ~ p
| ~ q ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_49,plain,
( r
| ~ q ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_50,plain,
( p
| ~ r ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_51,plain,
( q
| ~ r ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_52,plain,
( q
| r
| ~ p ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_53,negated_conjecture,
( ~ p
| ~ q ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_54,negated_conjecture,
( p
| q ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_55,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_52,c_53,c_49,c_50,c_51,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN044+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.37 % Computer : n006.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Thu Sep 24 23:54:15 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 1.10/1.28 % SZS status Started for theBenchmark.p
% 1.10/1.28 % SZS status Theorem for theBenchmark.p
% 1.10/1.28
% 1.10/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.10/1.28
% 1.10/1.28 % ------ iProver source info
% 1.10/1.28
% 1.10/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.10/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.10/1.28 % git: non_committed_changes: false
% 1.10/1.28
% 1.10/1.28 % ------ Parsing...
% 1.10/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.10/1.28 %
% 1.10/1.28
% 1.10/1.28 % ------ Preprocessing...%
% 1.10/1.28
% 1.10/1.28 % SZS status Theorem for theBenchmark.p
% 1.10/1.28
% 1.10/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.10/1.28
% 1.10/1.28
%------------------------------------------------------------------------------