%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN069+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 : n019.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 03:33:41 PM UTC 2026
% Result : Theorem 3.04s 0.83s
% Output : Proof 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 94 ( 35 ~; 29 |; 26 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 40 ( 5 sgn 17 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,axiom,
! [X] :
( ( ! [Y] :
( ( big_h(X,Y)
& big_g(Y) )
=> big_j(X,Y) )
& big_f(X) )
=> ! [Y1] :
( big_k(Y1)
& big_h(X,Y1)
& big_g(Y1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_1) ).
fof(f0_nnf,plain,
! [X] :
( ! [Y1] :
( big_k(Y1)
& big_h(X,Y1)
& big_g(Y1) )
| ? [Y] :
( ~ big_j(X,Y)
& big_h(X,Y)
& big_g(Y) )
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y1] :
( ( big_k(Y1)
& big_h(X,Y1)
& big_g(Y1) )
| ( ~ big_j(X,sk0(X))
& big_h(X,sk0(X))
& big_g(sk0(X)) )
| ~ big_f(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c0,plain,
( big_g(X2)
| big_g(sk0(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p15,plain,
( big_g(sk0(X0))
| ~ big_f(X0) ),
inference(factoring,[status(thm)],[c0]) ).
fof(f2,axiom,
? [X] :
( ! [Y1] :
( ( big_h(X,Y1)
& big_g(Y1) )
=> big_j(X,Y1) )
& ! [Y] :
( big_h(X,Y)
=> big_l(Y) )
& big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_3) ).
fof(f2_nnf,plain,
? [X] :
( ! [Y1] :
( big_j(X,Y1)
| ~ big_h(X,Y1)
| ~ big_g(Y1) )
& ! [Y] :
( big_l(Y)
| ~ big_h(X,Y) )
& big_f(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [Y,Y1] :
( ( big_j(sk1,Y1)
| ~ big_h(sk1,Y1)
| ~ big_g(Y1) )
& ( big_l(Y)
| ~ big_h(sk1,Y) )
& big_f(sk1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f2_nnf]) ).
cnf(c10,plain,
big_f(sk1),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p22,plain,
big_g(sk0(sk1)),
inference(resolution,[status(thm)],[p15,c10]) ).
cnf(c12,plain,
( big_j(sk1,X2)
| ~ big_h(sk1,X2)
| ~ big_g(X2) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p26,plain,
( big_j(sk1,sk0(sk1))
| ~ big_h(sk1,sk0(sk1)) ),
inference(resolution,[status(thm)],[p22,c12]) ).
cnf(c4,plain,
( big_h(X0,X2)
| big_h(X0,sk0(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p16,plain,
( big_h(X0,sk0(X0))
| ~ big_f(X0) ),
inference(factoring,[status(thm)],[c4]) ).
cnf(p23,plain,
big_h(sk1,sk0(sk1)),
inference(resolution,[status(thm)],[p16,c10]) ).
cnf(p30,plain,
big_j(sk1,sk0(sk1)),
inference(resolution,[status(thm)],[p26,p23]) ).
cnf(c8,plain,
( big_k(X2)
| ~ big_j(X0,sk0(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p19,plain,
( big_k(X0)
| ~ big_j(sk1,sk0(sk1)) ),
inference(resolution,[status(thm)],[c10,c8]) ).
cnf(p34,plain,
big_k(X0),
inference(resolution,[status(thm)],[p30,p19]) ).
fof(f3,conjecture,
? [X] :
( ~ ? [Y] :
( big_h(X,Y)
& big_g(Y) )
& big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45) ).
fof(f3_neg,negated_conjecture,
~ ? [X] :
( ~ ? [Y] :
( big_h(X,Y)
& big_g(Y) )
& big_f(X) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
! [X] :
( ? [Y] :
( big_h(X,Y)
& big_g(Y) )
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
! [X] :
( ( big_h(X,sk2(X))
& big_g(sk2(X)) )
| ~ big_f(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f3_nnf]) ).
cnf(c14,plain,
( big_h(X0,sk2(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p21,plain,
big_h(sk1,sk2(sk1)),
inference(resolution,[status(thm)],[c14,c10]) ).
cnf(c11,plain,
( big_l(X1)
| ~ big_h(sk1,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p25,plain,
big_l(sk2(sk1)),
inference(resolution,[status(thm)],[p21,c11]) ).
fof(f1,axiom,
~ ? [Y] :
( big_k(Y)
& big_l(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel45_2) ).
fof(f1_nnf,plain,
! [Y] :
( ~ big_k(Y)
| ~ big_l(Y) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [Y] :
( ~ big_k(Y)
| ~ big_l(Y) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c9,plain,
( ~ big_k(X0)
| ~ big_l(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p29,plain,
~ big_k(sk2(sk1)),
inference(resolution,[status(thm)],[p25,c9]) ).
cnf(p37,plain,
$false,
inference(resolution,[status(thm)],[p34,p29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN069+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.07/0.35 % Computer : n019.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 25 00:03:48 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.04/0.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.04/0.83 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------