%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN412+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 : n006.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 03:34:38 PM UTC 2026
% Result : Theorem 0.15s 5.77s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 22 ( 12 ~; 6 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 9 ( 2 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,conjecture,
~ ? [X] :
! [Y] :
( f(X,Y)
<=> ~ f(X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish255) ).
fof(f0_neg,negated_conjecture,
~ ~ ? [X] :
! [Y] :
( f(X,Y)
<=> ~ f(X,X) ),
inference(negated_conjecture,[status(cth)],[f0]) ).
fof(f0_nnf,plain,
? [X] :
! [Y] :
( ( f(X,X)
| f(X,Y) )
& ( ~ f(X,X)
| ~ f(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f0_neg]) ).
fof(f0_sk,plain,
! [Y] :
( ( f(sk0,sk0)
| f(sk0,Y) )
& ( ~ f(sk0,sk0)
| ~ f(sk0,Y) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c1,plain,
( f(sk0,sk0)
| f(sk0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p3,plain,
f(sk0,sk0),
inference(factoring,[status(thm)],[c1]) ).
cnf(c0,plain,
( ~ f(sk0,sk0)
| ~ f(sk0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p2,plain,
~ f(sk0,sk0),
inference(factoring,[status(thm)],[c0]) ).
cnf(p4,plain,
$false,
inference(resolution,[status(thm)],[p3,p2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN412+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/5.39 % Computer : n006.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Fri Sep 25 01:06:02 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/5.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.77 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------