%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN965+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 03:36:25 PM UTC 2026
% Result : Theorem 0.15s 10.80s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 31 ( 10 ~; 7 |; 10 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 38 ( 16 sgn 8 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
? [Z] :
! [X] :
? [Y] :
( ( ( p(Y,Z)
& p(Z,Y) )
=> p(Y,X) )
& ( p(Y,X)
=> ? [W] : p(W,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f0_neg,negated_conjecture,
~ ? [Z] :
! [X] :
? [Y] :
( ( ( p(Y,Z)
& p(Z,Y) )
=> p(Y,X) )
& ( p(Y,X)
=> ? [W] : p(W,Y) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
! [Z] :
? [X] :
! [Y] :
( ( ~ p(Y,X)
& p(Y,Z)
& p(Z,Y) )
| ( ! [W] : ~ p(W,Y)
& p(Y,X) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [Y,Z,W] :
( ( ~ p(Y,sk0(Z))
& p(Y,Z)
& p(Z,Y) )
| ( ~ p(W,Y)
& p(Y,sk0(Z)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c0,plain,
( p(X0,X2)
| p(X2,sk0(X0)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c3,plain,
( p(X0,X2)
| ~ p(X3,X2) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
( p(X2,sk0(X0))
| p(X0,X1) ),
inference(resolution,[status(thm)],[c0,c3]) ).
cnf(p9,plain,
p(X0,sk0(X0)),
inference(factoring,[status(thm)],[p6]) ).
cnf(p11,plain,
p(X0,sk0(X1)),
inference(resolution,[status(thm)],[p9,c3]) ).
cnf(c4,plain,
( p(X2,X0)
| ~ p(X3,X2) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p12,plain,
p(sk0(X0),X1),
inference(resolution,[status(thm)],[p11,c4]) ).
cnf(p14,plain,
p(X0,X1),
inference(resolution,[status(thm)],[p12,c3]) ).
cnf(c5,plain,
( ~ p(X2,sk0(X0))
| ~ p(X3,X2) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p15,plain,
~ p(X0,sk0(X1)),
inference(resolution,[status(thm)],[p14,c5]) ).
cnf(p16,plain,
$false,
inference(resolution,[status(thm)],[p15,p14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN965+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/10.38 % Computer : n004.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Fri Sep 25 02:39:48 UTC 2026
% 0.12/10.38 % CPUTime :
% 0.12/10.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/10.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/10.80 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------