%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN061+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 : n009.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 03:33:39 PM UTC 2026
% Result : Theorem 3.92s 1.00s
% Output : Proof 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 10 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 7 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,conjecture,
? [X] :
( big_j(X)
& big_i(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31) ).
fof(f3_neg,negated_conjecture,
~ ? [X] :
( big_j(X)
& big_i(X) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f3_nnf,plain,
! [X] :
( ~ big_j(X)
| ~ big_i(X) ),
inference(nnf_transformation,[status(thm)],[f3_neg]) ).
fof(f3_sk,plain,
! [X] :
( ~ big_j(X)
| ~ big_i(X) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c5,plain,
( ~ big_j(X0)
| ~ big_i(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
fof(f1,axiom,
? [X] :
( big_f(X)
& big_i(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_2) ).
fof(f1_nnf,plain,
? [X] :
( big_f(X)
& big_i(X) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( big_f(sk0)
& big_i(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f1_nnf]) ).
cnf(c2,plain,
big_i(sk0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p8,plain,
~ big_j(sk0),
inference(resolution,[status(thm)],[c5,c2]) ).
fof(f2,axiom,
! [X] :
( ~ big_h(X)
=> big_j(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_3) ).
fof(f2_nnf,plain,
! [X] :
( big_j(X)
| big_h(X) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X] :
( big_j(X)
| big_h(X) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c4,plain,
( big_j(X0)
| big_h(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p9,plain,
big_h(sk0),
inference(resolution,[status(thm)],[p8,c4]) ).
fof(f0,axiom,
~ ? [X] :
( ( big_h(X)
| big_g(X) )
& big_f(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel31_1) ).
fof(f0_nnf,plain,
! [X] :
( ( ~ big_h(X)
& ~ big_g(X) )
| ~ big_f(X) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X] :
( ( ~ big_h(X)
& ~ big_g(X) )
| ~ big_f(X) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c1,plain,
( ~ big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c3,plain,
big_f(sk0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p7,plain,
~ big_h(sk0),
inference(resolution,[status(thm)],[c1,c3]) ).
cnf(p10,plain,
$false,
inference(resolution,[status(thm)],[p9,p7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN061+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 00:00:43 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.92/1.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.92/1.00 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------