%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN728+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n012.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 03:35:35 PM UTC 2026
% Result : Theorem 1.86s 0.72s
% Output : Proof 1.86s
% 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] :
( q(W)
=> ~ m(g(W)) )
& ! [R] :
? [S] :
( ( q(f(R,S))
& m(R) )
| p(R,S) )
& ! [X] :
( ? [Y] : p(X,Y)
=> ! [Z] : p(Z,Z) ) )
=> ! [U] :
? [V] :
( p(U,U)
& p(g(U),V) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm69) ).
fof(f0_neg,negated_conjecture,
~ ( ( ! [W] :
( q(W)
=> ~ m(g(W)) )
& ! [R] :
? [S] :
( ( q(f(R,S))
& m(R) )
| p(R,S) )
& ! [X] :
( ? [Y] : p(X,Y)
=> ! [Z] : p(Z,Z) ) )
=> ! [U] :
? [V] :
( p(U,U)
& p(g(U),V) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ? [U] :
! [V] :
( ~ p(U,U)
| ~ p(g(U),V) )
& ! [W] :
( ~ m(g(W))
| ~ q(W) )
& ! [R] :
? [S] :
( ( q(f(R,S))
& m(R) )
| p(R,S) )
& ! [X] :
( ! [Z] : p(Z,Z)
| ! [Y] : ~ p(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X,Y,Z,R,W,V] :
( ( ~ p(sk1,sk1)
| ~ p(g(sk1),V) )
& ( ~ m(g(W))
| ~ q(W) )
& ( ( q(f(R,sk0(R)))
& m(R) )
| p(R,sk0(R)) )
& ( p(Z,Z)
| ~ p(X,Y) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c2,plain,
( q(f(X3,sk0(X3)))
| p(X3,sk0(X3)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c3,plain,
( ~ m(g(X5))
| ~ q(X5) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
( ~ m(g(f(X0,sk0(X0))))
| p(X0,sk0(X0)) ),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(c4,plain,
( ~ p(sk1,sk1)
| ~ p(g(sk1),X7) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
( m(X3)
| p(X3,sk0(X3)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c0,plain,
( p(X2,X2)
| ~ p(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p5,plain,
( p(X1,X1)
| m(X0) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(p8,plain,
( m(X0)
| ~ p(sk1,sk1) ),
inference(resolution,[status(thm)],[c4,p5]) ).
cnf(p9,plain,
( m(X1)
| m(X0) ),
inference(resolution,[status(thm)],[p8,p5]) ).
cnf(p10,plain,
m(X0),
inference(factoring,[status(thm)],[p9]) ).
cnf(p11,plain,
p(X0,sk0(X0)),
inference(resolution,[status(thm)],[p6,p10]) ).
cnf(p13,plain,
~ p(sk1,sk1),
inference(resolution,[status(thm)],[p11,c4]) ).
cnf(p12,plain,
p(X0,X0),
inference(resolution,[status(thm)],[p11,c0]) ).
cnf(p14,plain,
$false,
inference(resolution,[status(thm)],[p13,p12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN728+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.02/0.32 % Computer : n012.cluster.edu
% 0.02/0.32 % Model : x86_64 x86_64
% 0.02/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.32 % Memory : 8046.5625MB
% 0.02/0.32 % OS : Linux 6.8.0-71-generic
% 0.02/0.32 % CPULimit : 300
% 0.02/0.32 % WCLimit : 300
% 0.02/0.32 % DateTime : Fri Sep 25 02:12:05 UTC 2026
% 0.02/0.32 % CPUTime :
% 0.02/0.32 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.86/0.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.86/0.72 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------