%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN319+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 03:34:20 PM UTC 2026
% Result : Theorem 2.59s 0.83s
% Output : Proof 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 70 ( 20 ~; 18 |; 18 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% Number of variables : 27 ( 9 sgn 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
? [X,Y] :
! [Z1,Z2] :
( ( ( big_f(Y)
=> big_g(Z1) )
=> ( ~ big_f(Z1)
& big_g(X) ) )
=> ( ( ( big_g(X)
| big_f(X) )
=> big_h(X) )
=> ( ( big_h(Y)
=> ( ( big_g(Z2)
| big_f(Z2) )
=> big_h(Z2) ) )
& big_h(Z2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_2_5) ).
fof(f0_neg,negated_conjecture,
~ ? [X,Y] :
! [Z1,Z2] :
( ( ( big_f(Y)
=> big_g(Z1) )
=> ( ~ big_f(Z1)
& big_g(X) ) )
=> ( ( ( big_g(X)
| big_f(X) )
=> big_h(X) )
=> ( ( big_h(Y)
=> ( ( big_g(Z2)
| big_f(Z2) )
=> big_h(Z2) ) )
& big_h(Z2) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
! [X,Y] :
? [Z1,Z2] :
( ( ( ~ big_h(Z2)
& ( big_g(Z2)
| big_f(Z2) )
& big_h(Y) )
| ~ big_h(Z2) )
& ( big_h(X)
| ( ~ big_g(X)
& ~ big_f(X) ) )
& ( ( ~ big_f(Z1)
& big_g(X) )
| ( ~ big_g(Z1)
& big_f(Y) ) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [Y,X] :
( ( ( ~ big_h(sk1(X,Y))
& ( big_g(sk1(X,Y))
| big_f(sk1(X,Y)) )
& big_h(Y) )
| ~ big_h(sk1(X,Y)) )
& ( big_h(X)
| ( ~ big_g(X)
& ~ big_f(X) ) )
& ( ( ~ big_f(sk0(X,Y))
& big_g(X) )
| ( ~ big_g(sk0(X,Y))
& big_f(Y) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c8,plain,
( ~ big_h(sk1(X0,X1))
| ~ big_h(sk1(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p14,plain,
~ big_h(sk1(X0,X1)),
inference(factoring,[status(thm)],[c8]) ).
cnf(c5,plain,
( big_h(X0)
| ~ big_g(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c0,plain,
( big_g(X0)
| big_f(X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p10,plain,
( big_f(X1)
| big_h(X0) ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(c4,plain,
( big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p11,plain,
( big_h(X1)
| big_h(X0) ),
inference(resolution,[status(thm)],[p10,c4]) ).
cnf(p12,plain,
big_h(X0),
inference(factoring,[status(thm)],[p11]) ).
cnf(p15,plain,
$false,
inference(resolution,[status(thm)],[p14,p12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN319+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:49:03 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.59/0.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.59/0.83 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------