%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN066+1 : TPTP v9.3.1. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 03:33:40 PM UTC 2026
% Result : Theorem 3.32s 0.84s
% Output : Proof 3.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 31 ( 13 ~; 9 |; 6 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 43 ( 6 sgn 17 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,axiom,
! [Z] :
? [W] :
! [X] :
? [Y] :
( ( big_p(Y,W)
=> ? [U] : big_q(U,W) )
& big_p(Y,Z)
& ( big_p(X,Z)
=> big_p(Y,W) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel37_1) ).
fof(f0_nnf,plain,
! [Z] :
? [W] :
! [X] :
? [Y] :
( ( ? [U] : big_q(U,W)
| ~ big_p(Y,W) )
& big_p(Y,Z)
& ( big_p(Y,W)
| ~ big_p(X,Z) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Z] :
( ( big_q(sk2(Z,X),sk0(Z))
| ~ big_p(sk1(Z,X),sk0(Z)) )
& big_p(sk1(Z,X),Z)
& ( big_p(sk1(Z,X),sk0(Z))
| ~ big_p(X,Z) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f0_nnf]) ).
cnf(c1,plain,
big_p(sk1(X0,X2),X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c0,plain,
( big_p(sk1(X0,X2),sk0(X0))
| ~ big_p(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
big_p(sk1(X0,sk1(X0,X1)),sk0(X0)),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(c2,plain,
( big_q(sk2(X0,X2),sk0(X0))
| ~ big_p(sk1(X0,X2),sk0(X0)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p9,plain,
big_q(sk2(X0,sk1(X0,X1)),sk0(X0)),
inference(resolution,[status(thm)],[p6,c2]) ).
fof(f2,axiom,
( ? [X,Y] : big_q(X,Y)
=> ! [Z] : big_r(Z,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel37_3) ).
fof(f2_nnf,plain,
( ! [Z] : big_r(Z,Z)
| ! [X,Y] : ~ big_q(X,Y) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y,Z] :
( big_r(Z,Z)
| ~ big_q(X,Y) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( big_r(X2,X2)
| ~ big_q(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p12,plain,
big_r(X0,X0),
inference(resolution,[status(thm)],[p9,c4]) ).
fof(f3,conjecture,
! [X] :
? [Y] : big_r(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel37) ).
fof(f3_neg,negated_conjecture,
~ ! [X] :
? [Y] : big_r(X,Y),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
? [X] :
! [Y] : ~ big_r(X,Y),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
! [Y] : ~ big_r(sk4,Y),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk4])],[f3_nnf]) ).
cnf(c5,plain,
~ big_r(sk4,X1),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p14,plain,
$false,
inference(resolution,[status(thm)],[p12,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN066+1 : TPTP v9.3.1. Bugfixed v3.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % 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 00:07:53 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.32/0.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.32/0.84 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------