%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU116+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 17:40:34 EDT 2024
% Result : Theorem 0.41s 0.63s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 3 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 1 sgn 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t30_finsub_1,conjecture,
! [A,B] :
( element(B,finite_subsets(A))
=> finite(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_finsub_1) ).
fof(c18,negated_conjecture,
~ ! [A,B] :
( element(B,finite_subsets(A))
=> finite(B) ),
inference(assume_negation,[status(cth)],[t30_finsub_1]) ).
fof(c19,negated_conjecture,
? [A,B] :
( element(B,finite_subsets(A))
& ~ finite(B) ),
inference(fof_nnf,[status(thm)],[c18]) ).
fof(c20,negated_conjecture,
? [X2,X3] :
( element(X3,finite_subsets(X2))
& ~ finite(X3) ),
inference(variable_rename,[status(thm)],[c19]) ).
fof(c21,negated_conjecture,
( element(skolem0002,finite_subsets(skolem0001))
& ~ finite(skolem0002) ),
inference(skolemize,[status(esa)],[c20]) ).
cnf(c23,negated_conjecture,
~ finite(skolem0002),
inference(split_conjunct,[status(thm)],[c21]) ).
cnf(c22,negated_conjecture,
element(skolem0002,finite_subsets(skolem0001)),
inference(split_conjunct,[status(thm)],[c21]) ).
fof(cc3_finsub_1,axiom,
! [A,B] :
( element(B,finite_subsets(A))
=> finite(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_finsub_1) ).
fof(c83,plain,
! [A,B] :
( ~ element(B,finite_subsets(A))
| finite(B) ),
inference(fof_nnf,[status(thm)],[cc3_finsub_1]) ).
fof(c84,plain,
! [X18,X19] :
( ~ element(X19,finite_subsets(X18))
| finite(X19) ),
inference(variable_rename,[status(thm)],[c83]) ).
cnf(c85,plain,
( ~ element(X188,finite_subsets(X187))
| finite(X188) ),
inference(split_conjunct,[status(thm)],[c84]) ).
cnf(c355,plain,
finite(skolem0002),
inference(resolution,[status(thm)],[c85,c22]) ).
cnf(c357,plain,
$false,
inference(resolution,[status(thm)],[c355,c23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU116+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 11:20:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.41/0.63 % Version: 1.5
% 0.41/0.63 % SZS status Theorem
% 0.41/0.63 % SZS output start CNFRefutation
% See solution above
% 0.41/0.63
% 0.41/0.63 % Initial clauses : 81
% 0.41/0.63 % Processed clauses : 110
% 0.41/0.63 % Factors computed : 2
% 0.41/0.63 % Resolvents computed: 196
% 0.41/0.63 % Tautologies deleted: 15
% 0.41/0.63 % Forward subsumed : 20
% 0.41/0.63 % Backward subsumed : 0
% 0.41/0.63 % -------- CPU Time ---------
% 0.41/0.63 % User time : 0.255 s
% 0.41/0.63 % System time : 0.014 s
% 0.41/0.63 % Total time : 0.270 s
%------------------------------------------------------------------------------