TSTP Solution File: ITP010+4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ITP010+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 : Tue Apr 30 20:22:44 EDT 2024
% Result : Theorem 7.34s 7.63s
% Output : CNFRefutation 8.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 14 ~; 6 |; 2 &)
% ( 3 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 8 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10764,conjecture,
! [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/sandbox2/benchmark/theBenchmark.p') ).
fof(f10765,negated_conjecture,
~ ! [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(negated_conjecture,[status(cth)],[f10764]) ).
fof(f44685,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(pre_NNF_transformation,[status(esa)],[f10765]) ).
fof(f44686,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)))) )
& ( 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(NNF_transformation,[status(esa)],[f44685]) ).
fof(f44687,plain,
( ( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sk0_18786,tyop_2Emin_2Ebool),sk0_18788),s(tyop_2Emin_2Efun(sk0_18787,tyop_2Emin_2Ebool),sk0_18789))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sk0_18786,tyop_2Emin_2Ebool),sk0_18788),s(tyop_2Emin_2Efun(sk0_18787,tyop_2Emin_2Ebool),sk0_18789)))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sk0_18786,tyop_2Emin_2Ebool),sk0_18788),s(tyop_2Emin_2Efun(sk0_18787,tyop_2Emin_2Ebool),sk0_18789))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sk0_18786,tyop_2Emin_2Ebool),sk0_18788),s(tyop_2Emin_2Efun(sk0_18787,tyop_2Emin_2Ebool),sk0_18789)))) ) ),
inference(skolemization,[status(esa)],[f44686]) ).
fof(f44688,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sk0_18786,tyop_2Emin_2Ebool),sk0_18788),s(tyop_2Emin_2Efun(sk0_18787,tyop_2Emin_2Ebool),sk0_18789))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sk0_18786,tyop_2Emin_2Ebool),sk0_18788),s(tyop_2Emin_2Efun(sk0_18787,tyop_2Emin_2Ebool),sk0_18789)))) ),
inference(cnf_transformation,[status(esa)],[f44687]) ).
fof(f44689,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sk0_18786,tyop_2Emin_2Ebool),sk0_18788),s(tyop_2Emin_2Efun(sk0_18787,tyop_2Emin_2Ebool),sk0_18789))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sk0_18786,tyop_2Emin_2Ebool),sk0_18788),s(tyop_2Emin_2Efun(sk0_18787,tyop_2Emin_2Ebool),sk0_18789)))) ),
inference(cnf_transformation,[status(esa)],[f44687]) ).
fof(f50053,plain,
( spl0_226
<=> p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(sk0_18786,tyop_2Emin_2Ebool),sk0_18788),s(tyop_2Emin_2Efun(sk0_18787,tyop_2Emin_2Ebool),sk0_18789)))) ),
introduced(split_symbol_definition) ).
fof(f50056,plain,
~ spl0_226,
inference(split_clause,[status(thm)],[f44688,f50053]) ).
fof(f50057,plain,
spl0_226,
inference(split_clause,[status(thm)],[f44689,f50053]) ).
fof(f50086,plain,
$false,
inference(sat_refutation,[status(thm)],[f50056,f50057]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP010+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:51:15 EDT 2024
% 0.13/0.34 % CPUTime :
% 7.26/7.46 % Drodi V3.6.0
% 7.34/7.63 % Refutation found
% 7.34/7.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.34/7.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.82/8.10 % Elapsed time: 7.730525 seconds
% 11.82/8.10 % CPU time: 10.125068 seconds
% 11.82/8.10 % Total memory used: 3.656 GB
% 11.82/8.10 % Net memory used: 3.645 GB
%------------------------------------------------------------------------------