%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN369+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 03:34:31 PM UTC 2026
% Result : Theorem 3.85s 0.93s
% Output : Proof 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 13 ( 4 ~; 5 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 25 ( 4 sgn 16 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ! [U,V,W] :
( big_p(V,W)
| big_p(U,V) )
=> ? [X] :
! [Y] : big_p(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2120) ).
fof(f0_neg,negated_conjecture,
~ ( ! [U,V,W] :
( big_p(V,W)
| big_p(U,V) )
=> ? [X] :
! [Y] : big_p(X,Y) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ! [X] :
? [Y] : ~ big_p(X,Y)
& ! [U,V,W] :
( big_p(V,W)
| big_p(U,V) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [U,V,W,X] :
( ~ big_p(X,sk0(X))
& ( big_p(V,W)
| big_p(U,V) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c1,plain,
~ big_p(X3,sk0(X3)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c0,plain,
( big_p(X1,X2)
| big_p(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p4,plain,
big_p(X0,X1),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(p5,plain,
$false,
inference(resolution,[status(thm)],[p4,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN369+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n018.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 01:02:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.85/0.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.85/0.93 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------