%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN976+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 03:36:27 PM UTC 2026
% Result : Theorem 3.89s 1.03s
% Output : Proof 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 20 ( 4 ~; 4 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 8 ( 1 sgn 6 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
! [A] :
( ( ! [X] :
( q(X)
& p(X) )
& ( g
| f ) )
=> q(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f0_neg,negated_conjecture,
~ ! [A] :
( ( ! [X] :
( q(X)
& p(X) )
& ( g
| f ) )
=> q(A) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
? [A] :
( ~ q(A)
& ! [X] :
( q(X)
& p(X) )
& ( g
| f ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X] :
( ~ q(sk0)
& q(X)
& p(X)
& ( g
| f ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c3,plain,
~ q(sk0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c2,plain,
q(X1),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p4,plain,
$false,
inference(resolution,[status(thm)],[c3,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN976+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n010.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 : Fri Sep 25 02:41:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.89/1.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.89/1.03 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------