%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN951+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n001.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 03:36:23 PM UTC 2026
% Result : Theorem 3.08s 0.89s
% Output : Proof 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 59 ( 22 ~; 19 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 11 ( 4 sgn 2 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ? [X] : p(X)
=> ( ( a
=> ( ( q
=> q )
& ( ~ b
| b ) ) )
& ? [X] : p(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f0_neg,negated_conjecture,
~ ( ? [X] : p(X)
=> ( ( a
=> ( ( q
=> q )
& ( ~ b
| b ) ) )
& ? [X] : p(X) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ( ( ( ( ~ q
& q )
| ( b
& ~ b ) )
& a )
| ! [X] : ~ p(X) )
& ? [X] : p(X) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X] :
( ( ( ( ( ~ q
& q )
| ( b
& ~ b ) )
& a )
| ~ p(X) )
& p(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c5,plain,
( ~ q
| b
| ~ p(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c0,plain,
p(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p10,plain,
( ~ q
| b ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(c4,plain,
( q
| b
| ~ p(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p9,plain,
( q
| b ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(p11,plain,
( b
| b ),
inference(resolution,[status(thm)],[p10,p9]) ).
cnf(p12,plain,
b,
inference(factoring,[status(thm)],[p11]) ).
cnf(c3,plain,
( ~ q
| ~ b
| ~ p(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p8,plain,
( ~ q
| ~ b ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(p14,plain,
~ q,
inference(resolution,[status(thm)],[p12,p8]) ).
cnf(c2,plain,
( q
| ~ b
| ~ p(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p7,plain,
( q
| ~ b ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(p13,plain,
q,
inference(resolution,[status(thm)],[p12,p7]) ).
cnf(p15,plain,
$false,
inference(resolution,[status(thm)],[p14,p13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN951+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 02:44:09 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.08/0.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.08/0.89 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------