%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : ITP010+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 May 9 17:25:57 EDT 2024
% Result : Theorem 0.76s 0.98s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 4 ( 2 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 15 ( 5 ~; 0 |; 0 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_thm_2Ecardinal_2ECARD__NOT__LE,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',conj_thm_2Ecardinal_2ECARD__NOT__LE) ).
fof(c10,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(assume_negation,[status(cth)],[conj_thm_2Ecardinal_2ECARD__NOT__LE]) ).
fof(c11,negated_conjecture,
$false,
inference(fof_simplification,[status(thm)],[c10]) ).
cnf(c12,negated_conjecture,
$false,
inference(split_conjunct,[status(thm)],[c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP010+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed May 8 22:42:08 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.76/0.98 % Version: 1.5
% 0.76/0.98 % SZS status Theorem
% 0.76/0.98 % SZS output start CNFRefutation
% See solution above
% 0.76/0.98
% 0.76/0.98 % Initial clauses : 424
% 0.76/0.98 % Processed clauses : 0
% 0.76/0.98 % Factors computed : 0
% 0.76/0.98 % Resolvents computed: 0
% 0.76/0.98 % Tautologies deleted: 0
% 0.76/0.98 % Forward subsumed : 0
% 0.76/0.98 % Backward subsumed : 0
% 0.76/0.98 % -------- CPU Time ---------
% 0.76/0.98 % User time : 0.616 s
% 0.76/0.98 % System time : 0.016 s
% 0.76/0.98 % Total time : 0.632 s
%------------------------------------------------------------------------------