%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN413+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 09:22:05 AM UTC 2026
% Result : Theorem 9.93s 2.50s
% Output : CNFRefutation 9.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 19 ( 9 ~; 4 |; 2 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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 : 16 ( 2 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(kalish256,conjecture,
( ! [X0] :
? [X1] :
! [X2] :
( f(X2,X1)
<=> ( ~ f(X2,X2)
& f(X2,X0) ) )
=> ~ ? [X3] :
! [X4] : f(X4,X3) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0] :
? [X1] :
! [X2] :
( f(X2,X1)
<=> ( ~ f(X2,X2)
& f(X2,X0) ) )
=> ~ ? [X3] :
! [X4] : f(X4,X3) ),
inference(negate_conjecture,[status(cth)],[kalish256]) ).
cnf(c1,plain,
( ~ f(X0,X0)
| ~ f(X0,sK1(X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( f(X0,X0)
| ~ f(X0,X1)
| f(X0,sK1(X1)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
f(X0,sK3),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( f(X0,sK1(sK3))
| f(X0,X0) ),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(d1,plain,
f(sK1(sK3),sK1(sK3)),
inference(factoring,[status(thm)],[d0]) ).
cnf(d2,plain,
~ f(sK1(sK3),sK1(sK3)),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d1,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN413+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n007.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 26 17:39:24 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.33 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.93/2.50 % SZS status Theorem for theBenchmark.p
% 9.93/2.50 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------