%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN070+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 : n020.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 03:33:42 PM UTC 2026
% Result : Theorem 4.35s 1.13s
% Output : Proof 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 115 ( 45 ~; 45 |; 18 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 50 ( 11 sgn 19 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,conjecture,
! [X] :
( big_f(X)
=> big_g(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46) ).
fof(f3_neg,negated_conjecture,
~ ! [X] :
( big_f(X)
=> big_g(X) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
? [X] :
( ~ big_g(X)
& big_f(X) ),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
( ~ big_g(sk1)
& big_f(sk1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f3_nnf]) ).
cnf(c7,plain,
big_f(sk1),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f0,axiom,
! [X,Y] :
( ( ( ( big_h(Y,X)
& big_f(Y) )
=> big_g(Y) )
& big_f(X) )
=> big_g(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_1) ).
fof(f0_nnf,plain,
! [X,Y] :
( big_g(X)
| ( ~ big_g(Y)
& big_h(Y,X)
& big_f(Y) )
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y] :
( big_g(X)
| ( ~ big_g(Y)
& big_h(Y,X)
& big_f(Y) )
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( big_g(X0)
| big_f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p12,plain,
( big_g(sk1)
| big_f(X0) ),
inference(resolution,[status(thm)],[c7,c0]) ).
cnf(c8,plain,
~ big_g(sk1),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p21,plain,
big_f(X0),
inference(resolution,[status(thm)],[p12,c8]) ).
fof(f2,axiom,
! [X,Y] :
( ( big_h(X,Y)
& big_f(Y)
& big_f(X) )
=> ~ big_j(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_3) ).
fof(f2_nnf,plain,
! [X,Y] :
( ~ big_j(Y,X)
| ~ big_h(X,Y)
| ~ big_f(Y)
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ~ big_j(Y,X)
| ~ big_h(X,Y)
| ~ big_f(Y)
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c6,plain,
( ~ big_j(X1,X0)
| ~ big_h(X0,X1)
| ~ big_f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p25,plain,
( ~ big_j(X0,X1)
| ~ big_h(X1,X0)
| ~ big_f(X0) ),
inference(resolution,[status(thm)],[p21,c6]) ).
cnf(p27,plain,
( ~ big_j(X1,X0)
| ~ big_h(X0,X1) ),
inference(resolution,[status(thm)],[p25,p21]) ).
cnf(c1,plain,
( big_g(X0)
| big_h(X1,X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p23,plain,
( big_g(X1)
| big_h(X0,X1) ),
inference(resolution,[status(thm)],[p21,c1]) ).
cnf(p28,plain,
( big_g(X0)
| ~ big_j(X0,X1) ),
inference(resolution,[status(thm)],[p27,p23]) ).
fof(f1,axiom,
( ? [X] :
( ~ big_g(X)
& big_f(X) )
=> ? [X1] :
( ! [Y] :
( ( ~ big_g(Y)
& big_f(Y) )
=> big_j(X1,Y) )
& ~ big_g(X1)
& big_f(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel46_2) ).
fof(f1_nnf,plain,
( ? [X1] :
( ! [Y] :
( big_j(X1,Y)
| big_g(Y)
| ~ big_f(Y) )
& ~ big_g(X1)
& big_f(X1) )
| ! [X] :
( big_g(X)
| ~ big_f(X) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Y] :
( ( ( big_j(sk0,Y)
| big_g(Y)
| ~ big_f(Y) )
& ~ big_g(sk0)
& big_f(sk0) )
| big_g(X)
| ~ big_f(X) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f1_nnf]) ).
cnf(c5,plain,
( big_j(sk0,X2)
| big_g(X2)
| ~ big_f(X2)
| big_g(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p9,plain,
( big_j(sk0,X0)
| big_g(X0)
| big_g(X0)
| ~ big_f(X0) ),
inference(factoring,[status(thm)],[c5]) ).
cnf(p17,plain,
( big_j(sk0,X0)
| big_g(X0)
| ~ big_f(X0) ),
inference(factoring,[status(thm)],[p9]) ).
cnf(p26,plain,
( big_j(sk0,X0)
| big_g(X0) ),
inference(resolution,[status(thm)],[p21,p17]) ).
cnf(p29,plain,
( big_g(X0)
| big_g(sk0) ),
inference(resolution,[status(thm)],[p28,p26]) ).
cnf(p30,plain,
big_g(sk0),
inference(factoring,[status(thm)],[p29]) ).
cnf(c2,plain,
( big_g(X0)
| ~ big_g(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p24,plain,
( big_g(X1)
| ~ big_g(X0) ),
inference(resolution,[status(thm)],[p21,c2]) ).
cnf(p31,plain,
big_g(X0),
inference(resolution,[status(thm)],[p30,p24]) ).
cnf(p32,plain,
$false,
inference(resolution,[status(thm)],[p31,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN070+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 00:04:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.35/1.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.35/1.13 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------