%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN381+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 : n020.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 03:34:33 PM UTC 2026
% Result : Theorem 3.88s 1.06s
% Output : Proof 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 40 ( 10 ~; 14 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 35 ( 2 sgn 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ( ! [W,Z] :
( big_q(W,Z)
=> ( big_q(Z,Z)
| big_q(Z,W) ) )
& ! [V] :
? [U] : big_q(U,V)
& ! [X] :
( ? [Y] : big_q(X,Y)
=> big_p(X) ) )
=> ! [Z] : big_p(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2133) ).
fof(f0_neg,negated_conjecture,
~ ( ( ! [W,Z] :
( big_q(W,Z)
=> ( big_q(Z,Z)
| big_q(Z,W) ) )
& ! [V] :
? [U] : big_q(U,V)
& ! [X] :
( ? [Y] : big_q(X,Y)
=> big_p(X) ) )
=> ! [Z] : big_p(Z) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ? [Z] : ~ big_p(Z)
& ! [W,Z] :
( big_q(Z,Z)
| big_q(Z,W)
| ~ big_q(W,Z) )
& ! [V] :
? [U] : big_q(U,V)
& ! [X] :
( big_p(X)
| ! [Y] : ~ big_q(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X,Y,V,W,Z] :
( ~ big_p(sk1)
& ( big_q(Z,Z)
| big_q(Z,W)
| ~ big_q(W,Z) )
& big_q(sk0(V),V)
& ( big_p(X)
| ~ big_q(X,Y) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c2,plain,
( big_q(X5,X5)
| big_q(X5,X4)
| ~ big_q(X4,X5) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
big_q(sk0(X2),X2),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p5,plain,
( big_q(X0,X0)
| big_q(X0,sk0(X0)) ),
inference(resolution,[status(thm)],[c2,c1]) ).
cnf(c0,plain,
( big_p(X0)
| ~ big_q(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
( big_p(X0)
| big_q(X0,X0) ),
inference(resolution,[status(thm)],[p5,c0]) ).
cnf(p7,plain,
( big_p(X0)
| big_p(X0) ),
inference(resolution,[status(thm)],[p6,c0]) ).
cnf(p8,plain,
big_p(X0),
inference(factoring,[status(thm)],[p7]) ).
cnf(c3,plain,
~ big_p(sk1),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p9,plain,
$false,
inference(resolution,[status(thm)],[p8,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN381+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n020.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
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 01:03:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.88/1.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.88/1.06 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------