%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN044+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 03:33:33 PM UTC 2026
% Result : Theorem 3.24s 0.85s
% Output : Proof 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 18 ~; 22 |; 7 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% 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 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( p
=> ( r
| q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_3) ).
fof(f2_nnf,plain,
( r
| q
| ~ p ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
( r
| q
| ~ p ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c3,plain,
( r
| q
| ~ p ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f3,conjecture,
( p
<=> q ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10) ).
fof(f3_neg,negated_conjecture,
~ ( p
<=> q ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
( ( q
& ~ p )
| ( ~ q
& p ) ),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
( ( q
& ~ p )
| ( ~ q
& p ) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c5,plain,
( q
| p ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p8,plain,
( q
| r
| q ),
inference(resolution,[status(thm)],[c3,c5]) ).
cnf(p9,plain,
( r
| q ),
inference(factoring,[status(thm)],[p8]) ).
fof(f1,axiom,
( r
=> ( q
& p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_2) ).
fof(f1_nnf,plain,
( ( q
& p )
| ~ r ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( ( q
& p )
| ~ r ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c2,plain,
( q
| ~ r ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p10,plain,
( q
| q ),
inference(resolution,[status(thm)],[p9,c2]) ).
cnf(p11,plain,
q,
inference(factoring,[status(thm)],[p10]) ).
fof(f0,axiom,
( q
=> r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_1) ).
fof(f0_nnf,plain,
( r
| ~ q ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
( r
| ~ q ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( r
| ~ q ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p13,plain,
r,
inference(resolution,[status(thm)],[p11,c0]) ).
cnf(c1,plain,
( p
| ~ r ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p14,plain,
p,
inference(resolution,[status(thm)],[p13,c1]) ).
cnf(c6,plain,
( ~ p
| ~ q ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p12,plain,
~ p,
inference(resolution,[status(thm)],[p11,c6]) ).
cnf(p15,plain,
$false,
inference(resolution,[status(thm)],[p14,p12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN044+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 23:54:33 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.24/0.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.24/0.85 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------