%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN073+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 : n015.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 0.15s 6.02s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 13 ( 4 ~; 5 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 2 sgn 12 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
( ! [X] :
( ! [Y] : big_f(X,Y)
| big_f(a,X) )
=> ? [X1] :
! [Y1] : big_f(X1,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel50) ).
fof(f0_neg,negated_conjecture,
~ ( ! [X] :
( ! [Y] : big_f(X,Y)
| big_f(a,X) )
=> ? [X1] :
! [Y1] : big_f(X1,Y1) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
( ! [X1] :
? [Y1] : ~ big_f(X1,Y1)
& ! [X] :
( ! [Y] : big_f(X,Y)
| big_f(a,X) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [X,Y,X1] :
( ~ big_f(X1,sk0(X1))
& ( big_f(X,Y)
| big_f(a,X) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c0,plain,
( big_f(X0,X1)
| big_f(a,X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
~ big_f(X2,sk0(X2)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p4,plain,
big_f(a,X0),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(p5,plain,
$false,
inference(resolution,[status(thm)],[p4,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN073+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.37 % Computer : n015.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Fri Sep 25 00:08:32 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/6.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/6.02 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------