%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN326+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 : n017.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 4.11s 1.07s
% Output : Proof 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 45 ( 10 ~; 7 |; 12 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 17 ( 2 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
? [X] :
! [Y,Z] :
( ( ( big_f(Y,Z)
=> ( big_g(Y)
=> big_h(X) ) )
=> big_f(X,X) )
=> ( ( ( big_f(Z,X)
=> big_g(X) )
=> big_h(Z) )
=> ( big_f(X,Y)
=> big_f(Z,Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_1) ).
fof(f0_neg,negated_conjecture,
~ ? [X] :
! [Y,Z] :
( ( ( big_f(Y,Z)
=> ( big_g(Y)
=> big_h(X) ) )
=> big_f(X,X) )
=> ( ( ( big_f(Z,X)
=> big_g(X) )
=> big_h(Z) )
=> ( big_f(X,Y)
=> big_f(Z,Z) ) ) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
! [X] :
? [Y,Z] :
( ~ big_f(Z,Z)
& big_f(X,Y)
& ( big_h(Z)
| ( ~ big_g(X)
& big_f(Z,X) ) )
& ( big_f(X,X)
| ( ~ big_h(X)
& big_g(Y)
& big_f(Y,Z) ) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X] :
( ~ big_f(sk1(X),sk1(X))
& big_f(X,sk0(X))
& ( big_h(sk1(X))
| ( ~ big_g(X)
& big_f(sk1(X),X) ) )
& ( big_f(X,X)
| ( ~ big_h(X)
& big_g(sk0(X))
& big_f(sk0(X),sk1(X)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f0_nnf]) ).
cnf(c1,plain,
( big_f(X0,X0)
| big_g(sk0(X0)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c6,plain,
~ big_f(sk1(X0),sk1(X0)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p7,plain,
big_g(sk0(sk1(X0))),
inference(resolution,[status(thm)],[c1,c6]) ).
cnf(c4,plain,
( big_h(sk1(X0))
| ~ big_g(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p9,plain,
big_h(sk1(sk0(sk1(X0)))),
inference(resolution,[status(thm)],[p7,c4]) ).
cnf(c2,plain,
( big_f(X0,X0)
| ~ big_h(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p10,plain,
big_f(sk1(sk0(sk1(X0))),sk1(sk0(sk1(X0)))),
inference(resolution,[status(thm)],[p9,c2]) ).
cnf(p12,plain,
$false,
inference(resolution,[status(thm)],[p10,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN326+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 00:46:01 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.11/1.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.11/1.07 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------