%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN960+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 : n004.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 03:36:24 PM UTC 2026
% Result : Theorem 2.46s 0.79s
% Output : Proof 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 18 ( 8 ~; 4 |; 4 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 2 sgn 6 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ? [X,Y] : a(X,Y)
<=> ? [Y,X] : a(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f0_neg,negated_conjecture,
~ ( ? [X,Y] : a(X,Y)
<=> ? [Y,X] : a(X,Y) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ( ? [Y,X] : a(X,Y)
& ! [X,Y] : ~ a(X,Y) )
| ( ! [Y,X] : ~ a(X,Y)
& ? [X,Y] : a(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X,Y] :
( ( a(sk3,sk2)
& ~ a(X,Y) )
| ( ~ a(X,Y)
& a(sk0,sk1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3])],[f0_nnf]) ).
cnf(c2,plain,
( ~ a(X0,X1)
| ~ a(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p5,plain,
~ a(X0,X1),
inference(factoring,[status(thm)],[c2]) ).
cnf(c1,plain,
( a(sk3,sk2)
| a(sk0,sk1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
a(sk0,sk1),
inference(resolution,[status(thm)],[p5,c1]) ).
cnf(p7,plain,
$false,
inference(resolution,[status(thm)],[p6,p5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN960+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 02:40:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.46/0.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.46/0.79 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------