%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN325+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 : n016.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 03:34:21 PM UTC 2026
% Result : Theorem 2.66s 6.10s
% Output : Proof 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 26 ( 7 ~; 5 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 12 ( 2 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
? [X] :
! [Y] :
( ( ( big_f(X,X)
=> big_f(Y,Y) )
=> ( big_g(X)
& big_f(X,Y) ) )
=> big_g(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_9_2) ).
fof(f0_neg,negated_conjecture,
~ ? [X] :
! [Y] :
( ( ( big_f(X,X)
=> big_f(Y,Y) )
=> ( big_g(X)
& big_f(X,Y) ) )
=> big_g(Y) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
! [X] :
? [Y] :
( ~ big_g(Y)
& ( ( big_g(X)
& big_f(X,Y) )
| ( ~ big_f(Y,Y)
& big_f(X,X) ) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X] :
( ~ big_g(sk0(X))
& ( ( big_g(X)
& big_f(X,sk0(X)) )
| ( ~ big_f(sk0(X),sk0(X))
& big_f(X,X) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c3,plain,
( big_g(X0)
| ~ big_f(sk0(X0),sk0(X0)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
( big_g(X0)
| big_f(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p5,plain,
( big_g(sk0(X0))
| big_g(X0) ),
inference(resolution,[status(thm)],[c3,c1]) ).
cnf(c4,plain,
~ big_g(sk0(X0)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p6,plain,
big_g(X0),
inference(resolution,[status(thm)],[p5,c4]) ).
cnf(p7,plain,
$false,
inference(resolution,[status(thm)],[p6,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN325+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.37 % Computer : n016.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Fri Sep 25 00:55:18 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.66/6.10 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/6.10 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------