TSTP Solution File: ITP010+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ITP010+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:22:43 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 46 ( 14 ~; 6 |; 14 &)
% ( 3 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 8 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,conjecture,
! [A_27a] :
( ne(A_27a)
=> ! [A_27b] :
( ne(A_27b)
=> ! [V0s] :
( mem(V0s,arr(A_27a,bool))
=> ! [V1t] :
( mem(V1t,arr(A_27b,bool))
=> ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t))
<=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
~ ! [A_27a] :
( ne(A_27a)
=> ! [A_27b] :
( ne(A_27b)
=> ! [V0s] :
( mem(V0s,arr(A_27a,bool))
=> ! [V1t] :
( mem(V1t,arr(A_27b,bool))
=> ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t))
<=> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f41]) ).
fof(f192,plain,
? [A_27a] :
( ne(A_27a)
& ? [A_27b] :
( ne(A_27b)
& ? [V0s] :
( mem(V0s,arr(A_27a,bool))
& ? [V1t] :
( mem(V1t,arr(A_27b,bool))
& ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t))
<~> ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t)) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f193,plain,
? [A_27a] :
( ne(A_27a)
& ? [A_27b] :
( ne(A_27b)
& ? [V0s] :
( mem(V0s,arr(A_27a,bool))
& ? [V1t] :
( mem(V1t,arr(A_27b,bool))
& ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t))
| ~ p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t)) )
& ( p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t))
| p(ap(ap(c_2Ecardinal_2Ecardleq(A_27a,A_27b),V0s),V1t)) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f192]) ).
fof(f194,plain,
( ne(sk0_3)
& ne(sk0_4)
& mem(sk0_5,arr(sk0_3,bool))
& mem(sk0_6,arr(sk0_4,bool))
& ( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sk0_3,sk0_4),sk0_5),sk0_6))
| ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sk0_3,sk0_4),sk0_5),sk0_6)) )
& ( p(ap(ap(c_2Ecardinal_2Ecardleq(sk0_3,sk0_4),sk0_5),sk0_6))
| p(ap(ap(c_2Ecardinal_2Ecardleq(sk0_3,sk0_4),sk0_5),sk0_6)) ) ),
inference(skolemization,[status(esa)],[f193]) ).
fof(f199,plain,
( ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sk0_3,sk0_4),sk0_5),sk0_6))
| ~ p(ap(ap(c_2Ecardinal_2Ecardleq(sk0_3,sk0_4),sk0_5),sk0_6)) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f200,plain,
( p(ap(ap(c_2Ecardinal_2Ecardleq(sk0_3,sk0_4),sk0_5),sk0_6))
| p(ap(ap(c_2Ecardinal_2Ecardleq(sk0_3,sk0_4),sk0_5),sk0_6)) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f280,plain,
( spl0_5
<=> p(ap(ap(c_2Ecardinal_2Ecardleq(sk0_3,sk0_4),sk0_5),sk0_6)) ),
introduced(split_symbol_definition) ).
fof(f283,plain,
~ spl0_5,
inference(split_clause,[status(thm)],[f199,f280]) ).
fof(f284,plain,
spl0_5,
inference(split_clause,[status(thm)],[f200,f280]) ).
fof(f285,plain,
$false,
inference(sat_refutation,[status(thm)],[f283,f284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP010+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:08:33 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38 % Elapsed time: 0.022441 seconds
% 0.14/0.38 % CPU time: 0.022864 seconds
% 0.14/0.38 % Total memory used: 6.763 MB
% 0.14/0.38 % Net memory used: 6.751 MB
%------------------------------------------------------------------------------