%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN364+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 : n008.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 03:34:30 PM UTC 2026
% Result : Theorem 3.22s 0.86s
% Output : Proof 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 62 ( 21 ~; 19 |; 16 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 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 : 46 ( 8 sgn 22 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ( ! [W] :
( big_q(W)
=> ~ big_m(g(W)) )
& ! [U] :
? [V] :
( ( big_q(f(U,V))
& big_m(U) )
| big_p(U,V) )
& ! [X] :
( ? [Y] : big_p(X,Y)
=> ! [Z] : big_p(Z,Z) ) )
=> ! [U] :
? [V] :
( big_p(U,U)
& big_p(g(U),V) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2115) ).
fof(f0_neg,negated_conjecture,
~ ( ( ! [W] :
( big_q(W)
=> ~ big_m(g(W)) )
& ! [U] :
? [V] :
( ( big_q(f(U,V))
& big_m(U) )
| big_p(U,V) )
& ! [X] :
( ? [Y] : big_p(X,Y)
=> ! [Z] : big_p(Z,Z) ) )
=> ! [U] :
? [V] :
( big_p(U,U)
& big_p(g(U),V) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ? [U] :
! [V] :
( ~ big_p(U,U)
| ~ big_p(g(U),V) )
& ! [W] :
( ~ big_m(g(W))
| ~ big_q(W) )
& ! [U] :
? [V] :
( ( big_q(f(U,V))
& big_m(U) )
| big_p(U,V) )
& ! [X] :
( ! [Z] : big_p(Z,Z)
| ! [Y] : ~ big_p(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X,Y,Z,U,W,V] :
( ( ~ big_p(sk1,sk1)
| ~ big_p(g(sk1),V) )
& ( ~ big_m(g(W))
| ~ big_q(W) )
& ( ( big_q(f(U,sk0(U)))
& big_m(U) )
| big_p(U,sk0(U)) )
& ( big_p(Z,Z)
| ~ big_p(X,Y) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c2,plain,
( big_q(f(X3,sk0(X3)))
| big_p(X3,sk0(X3)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c3,plain,
( ~ big_m(g(X5))
| ~ big_q(X5) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
( ~ big_m(g(f(X0,sk0(X0))))
| big_p(X0,sk0(X0)) ),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(c4,plain,
( ~ big_p(sk1,sk1)
| ~ big_p(g(sk1),X4) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
( big_m(X3)
| big_p(X3,sk0(X3)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c0,plain,
( big_p(X2,X2)
| ~ big_p(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p5,plain,
( big_p(X1,X1)
| big_m(X0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(p8,plain,
( big_m(X0)
| ~ big_p(sk1,sk1) ),
inference(resolution,[status(thm)],[c4,p5]) ).
cnf(p9,plain,
( big_m(X1)
| big_m(X0) ),
inference(resolution,[status(thm)],[p8,p5]) ).
cnf(p10,plain,
big_m(X0),
inference(factoring,[status(thm)],[p9]) ).
cnf(p11,plain,
big_p(X0,sk0(X0)),
inference(resolution,[status(thm)],[p6,p10]) ).
cnf(p13,plain,
~ big_p(sk1,sk1),
inference(resolution,[status(thm)],[p11,c4]) ).
cnf(p12,plain,
big_p(X0,X0),
inference(resolution,[status(thm)],[p11,c0]) ).
cnf(p14,plain,
$false,
inference(resolution,[status(thm)],[p13,p12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN364+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 01:00:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.22/0.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.22/0.86 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------