%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ITP010+4 : TPTP v9.0.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Jul 24 06:46:20 PM UTC 2025
% Result : Theorem 5.69s 2.52s
% Output : CNFRefutation 5.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 7 ~; 0 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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,plain,
! [A_27a,A_27b,V0s_2E0,V1t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Ecardinal_2ECARD__NOT__LE) ).
fof(thm_2Ecardinal_2ECARD__NOT__LE_negated,plain,
~ ! [A_27a,A_27b,V0s_2E0,V1t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0s_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),V1t_2E0)))) ),
inference(negate_conjecture,[status(cth)],[thm_2Ecardinal_2ECARD__NOT__LE]) ).
cnf(23773,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK31679,tyop_2Emin_2Ebool),sK31681),s(tyop_2Emin_2Efun(sK31680,tyop_2Emin_2Ebool),sK31682)))),
inference(cnf,[status(esa)],[thm_2Ecardinal_2ECARD__NOT__LE_negated]) ).
cnf(l0,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK31679,tyop_2Emin_2Ebool),sK31681),s(tyop_2Emin_2Efun(sK31680,tyop_2Emin_2Ebool),sK31682)))),
inference(instantiation,[status(thm)],[23773]) ).
cnf(23774,plain,
p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK31679,tyop_2Emin_2Ebool),sK31681),s(tyop_2Emin_2Efun(sK31680,tyop_2Emin_2Ebool),sK31682)))),
inference(cnf,[status(esa)],[thm_2Ecardinal_2ECARD__NOT__LE_negated]) ).
cnf(l1,plain,
p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sK31679,tyop_2Emin_2Ebool),sK31681),s(tyop_2Emin_2Efun(sK31680,tyop_2Emin_2Ebool),sK31682)))),
inference(instantiation,[status(thm)],[23774]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP010+4 : TPTP v9.0.0. Bugfixed v7.5.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Jul 20 19:40:20 EDT 2025
% 0.12/0.34 % CPUTime :
% 1.78/1.96 % launching worker at depth: 1
% 1.78/1.96 % launching worker at depth: 2
% 1.78/1.96 % launching worker at depth: 4
% 1.78/1.96 % launching worker at depth: 3
% 1.78/1.96 % launching worker at depth: 5
% 1.78/1.96 % launching worker at depth: 6
% 1.78/1.96 % launching worker at depth: 7
% 1.78/1.96 % launching worker at depth: 8
% 5.69/2.52 % SZS status Theorem for theBenchmark
% 5.69/2.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------