%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN948+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Sun Sep 27 09:34:23 AM UTC 2026
% Result : Theorem 8.83s 1.60s
% Output : CNFRefutation 8.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 3 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6 ( 2 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 8 ( 0 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
( ! [X0] :
? [X1] :
( a(X1,X1)
& a(X0,X1) )
=> ? [X2] : a(X2,X2) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0] :
? [X1] :
( a(X1,X1)
& a(X0,X1) )
=> ? [X2] : a(X2,X2) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(c1,plain,
a(sK1(X0),sK1(X0)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
~ a(X0,X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c2,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN948+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 18:54:45 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.83/1.60 % SZS status Theorem for theBenchmark.p
% 8.83/1.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------