%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN325+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n010.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 17:47:53 EDT 2024
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 42 ( 12 ~; 9 |; 15 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 15 ( 2 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_9_2,conjecture,
? [X] :
! [Y] :
( ( ( big_f(X,X)
=> big_f(Y,Y) )
=> ( big_f(X,Y)
& big_g(X) ) )
=> big_g(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_9_2) ).
fof(c0,negated_conjecture,
~ ? [X] :
! [Y] :
( ( ( big_f(X,X)
=> big_f(Y,Y) )
=> ( big_f(X,Y)
& big_g(X) ) )
=> big_g(Y) ),
inference(assume_negation,[status(cth)],[church_46_9_2]) ).
fof(c1,negated_conjecture,
! [X] :
? [Y] :
( ( ( big_f(X,X)
& ~ big_f(Y,Y) )
| ( big_f(X,Y)
& big_g(X) ) )
& ~ big_g(Y) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
! [X2] :
? [X3] :
( ( ( big_f(X2,X2)
& ~ big_f(X3,X3) )
| ( big_f(X2,X3)
& big_g(X2) ) )
& ~ big_g(X3) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
! [X2] :
( ( ( big_f(X2,X2)
& ~ big_f(skolem0001(X2),skolem0001(X2)) )
| ( big_f(X2,skolem0001(X2))
& big_g(X2) ) )
& ~ big_g(skolem0001(X2)) ),
inference(skolemize,[status(esa)],[c2]) ).
fof(c4,negated_conjecture,
! [X2] :
( ( big_f(X2,X2)
| big_f(X2,skolem0001(X2)) )
& ( big_f(X2,X2)
| big_g(X2) )
& ( ~ big_f(skolem0001(X2),skolem0001(X2))
| big_f(X2,skolem0001(X2)) )
& ( ~ big_f(skolem0001(X2),skolem0001(X2))
| big_g(X2) )
& ~ big_g(skolem0001(X2)) ),
inference(distribute,[status(thm)],[c3]) ).
cnf(c9,negated_conjecture,
~ big_g(skolem0001(X4)),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c6,negated_conjecture,
( big_f(X5,X5)
| big_g(X5) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c10,plain,
big_f(skolem0001(X6),skolem0001(X6)),
inference(resolution,[status(thm)],[c6,c9]) ).
cnf(c8,negated_conjecture,
( ~ big_f(skolem0001(X8),skolem0001(X8))
| big_g(X8) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c13,plain,
big_g(X10),
inference(resolution,[status(thm)],[c8,c10]) ).
cnf(c17,plain,
$false,
inference(resolution,[status(thm)],[c13,c9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN325+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n010.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 : Wed May 8 19:59:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.52 % Version: 1.5
% 0.19/0.52 % SZS status Theorem
% 0.19/0.52 % SZS output start CNFRefutation
% See solution above
% 0.19/0.52
% 0.19/0.52 % Initial clauses : 5
% 0.19/0.52 % Processed clauses : 7
% 0.19/0.52 % Factors computed : 0
% 0.19/0.52 % Resolvents computed: 8
% 0.19/0.52 % Tautologies deleted: 0
% 0.19/0.52 % Forward subsumed : 0
% 0.19/0.52 % Backward subsumed : 2
% 0.19/0.52 % -------- CPU Time ---------
% 0.19/0.52 % User time : 0.157 s
% 0.19/0.52 % System time : 0.014 s
% 0.19/0.52 % Total time : 0.171 s
%------------------------------------------------------------------------------