%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ITP010+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 07:38:00 AM UTC 2026
% Result : Theorem 14.22s 2.43s
% Output : CNFRefutation 14.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 3 unt; 0 def)
% Number of atoms : 7 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 0 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Ecardinal_2ECARD__NOT__LE,conjecture,
! [X0,X1,X2,X3] :
( ~ p(s('tyop$u2Emin$u2Ebool','c$u2Ecardinal$u2Ecardleq$u2E2'(s('tyop$u2Emin$u2Efun'(X0,'tyop$u2Emin$u2Ebool'),X2),s('tyop$u2Emin$u2Efun'(X1,'tyop$u2Emin$u2Ebool'),X3))))
<=> ~ p(s('tyop$u2Emin$u2Ebool','c$u2Ecardinal$u2Ecardleq$u2E2'(s('tyop$u2Emin$u2Efun'(X0,'tyop$u2Emin$u2Ebool'),X2),s('tyop$u2Emin$u2Efun'(X1,'tyop$u2Emin$u2Ebool'),X3)))) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ~ p(s('tyop$u2Emin$u2Ebool','c$u2Ecardinal$u2Ecardleq$u2E2'(s('tyop$u2Emin$u2Efun'(X0,'tyop$u2Emin$u2Ebool'),X2),s('tyop$u2Emin$u2Efun'(X1,'tyop$u2Emin$u2Ebool'),X3))))
<=> ~ p(s('tyop$u2Emin$u2Ebool','c$u2Ecardinal$u2Ecardleq$u2E2'(s('tyop$u2Emin$u2Efun'(X0,'tyop$u2Emin$u2Ebool'),X2),s('tyop$u2Emin$u2Efun'(X1,'tyop$u2Emin$u2Ebool'),X3)))) ),
inference(negate_conjecture,[status(cth)],[thm_2Ecardinal_2ECARD__NOT__LE]) ).
cnf(c143,plain,
~ p(s('tyop$u2Emin$u2Ebool','c$u2Ecardinal$u2Ecardleq$u2E2'(s('tyop$u2Emin$u2Efun'(sK93,'tyop$u2Emin$u2Ebool'),sK95),s('tyop$u2Emin$u2Efun'(sK94,'tyop$u2Emin$u2Ebool'),sK96)))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c144,plain,
p(s('tyop$u2Emin$u2Ebool','c$u2Ecardinal$u2Ecardleq$u2E2'(s('tyop$u2Emin$u2Efun'(sK93,'tyop$u2Emin$u2Ebool'),sK95),s('tyop$u2Emin$u2Efun'(sK94,'tyop$u2Emin$u2Ebool'),sK96)))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c143,c144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP010+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.58 % Computer : n020.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Fri Sep 25 17:13:19 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.22/2.43 % SZS status Theorem for theBenchmark.p
% 14.22/2.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------