%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN350+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 : Thu May 9 17:48:00 EDT 2024
% Result : Theorem 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 96 ( 34 ~; 32 |; 22 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 3 sgn 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_18_2,conjecture,
! [X] :
? [Y1,Y2] :
! [Z] :
( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( big_f(X,Z)
<=> ( big_f(Y2,Z)
& ( big_f(Y1,Z)
=> big_f(Y1,Y2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_18_2) ).
fof(c0,negated_conjecture,
~ ! [X] :
? [Y1,Y2] :
! [Z] :
( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( big_f(X,Z)
<=> ( big_f(Y2,Z)
& ( big_f(Y1,Z)
=> big_f(Y1,Y2) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_18_2]) ).
fof(c1,negated_conjecture,
? [X] :
! [Y1,Y2] :
? [Z] :
( ( ~ big_f(X,Z)
| big_f(Z,X) )
& ( ~ big_f(Z,X)
| big_f(X,Z) )
& ( ~ big_f(X,Z)
| ~ big_f(Y2,Z)
| ( big_f(Y1,Z)
& ~ big_f(Y1,Y2) ) )
& ( big_f(X,Z)
| ( big_f(Y2,Z)
& ( ~ big_f(Y1,Z)
| big_f(Y1,Y2) ) ) ) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X2] :
! [X3,X4] :
? [X5] :
( ( ~ big_f(X2,X5)
| big_f(X5,X2) )
& ( ~ big_f(X5,X2)
| big_f(X2,X5) )
& ( ~ big_f(X2,X5)
| ~ big_f(X4,X5)
| ( big_f(X3,X5)
& ~ big_f(X3,X4) ) )
& ( big_f(X2,X5)
| ( big_f(X4,X5)
& ( ~ big_f(X3,X5)
| big_f(X3,X4) ) ) ) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
! [X3,X4] :
( ( ~ big_f(skolem0001,skolem0002(X3,X4))
| big_f(skolem0002(X3,X4),skolem0001) )
& ( ~ big_f(skolem0002(X3,X4),skolem0001)
| big_f(skolem0001,skolem0002(X3,X4)) )
& ( ~ big_f(skolem0001,skolem0002(X3,X4))
| ~ big_f(X4,skolem0002(X3,X4))
| ( big_f(X3,skolem0002(X3,X4))
& ~ big_f(X3,X4) ) )
& ( big_f(skolem0001,skolem0002(X3,X4))
| ( big_f(X4,skolem0002(X3,X4))
& ( ~ big_f(X3,skolem0002(X3,X4))
| big_f(X3,X4) ) ) ) ),
inference(skolemize,[status(esa)],[c2]) ).
fof(c4,negated_conjecture,
! [X3,X4] :
( ( ~ big_f(skolem0001,skolem0002(X3,X4))
| big_f(skolem0002(X3,X4),skolem0001) )
& ( ~ big_f(skolem0002(X3,X4),skolem0001)
| big_f(skolem0001,skolem0002(X3,X4)) )
& ( ~ big_f(skolem0001,skolem0002(X3,X4))
| ~ big_f(X4,skolem0002(X3,X4))
| big_f(X3,skolem0002(X3,X4)) )
& ( ~ big_f(skolem0001,skolem0002(X3,X4))
| ~ big_f(X4,skolem0002(X3,X4))
| ~ big_f(X3,X4) )
& ( big_f(skolem0001,skolem0002(X3,X4))
| big_f(X4,skolem0002(X3,X4)) )
& ( big_f(skolem0001,skolem0002(X3,X4))
| ~ big_f(X3,skolem0002(X3,X4))
| big_f(X3,X4) ) ),
inference(distribute,[status(thm)],[c3]) ).
cnf(c9,negated_conjecture,
( big_f(skolem0001,skolem0002(X7,X6))
| big_f(X6,skolem0002(X7,X6)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c11,plain,
big_f(skolem0001,skolem0002(X8,skolem0001)),
inference(factor,[status(thm)],[c9]) ).
cnf(c5,negated_conjecture,
( ~ big_f(skolem0001,skolem0002(X10,X9))
| big_f(skolem0002(X10,X9),skolem0001) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c12,plain,
big_f(skolem0002(X11,skolem0001),skolem0001),
inference(resolution,[status(thm)],[c5,c11]) ).
cnf(c8,negated_conjecture,
( ~ big_f(skolem0001,skolem0002(X22,X21))
| ~ big_f(X21,skolem0002(X22,X21))
| ~ big_f(X22,X21) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c18,plain,
( ~ big_f(skolem0001,skolem0002(X25,skolem0001))
| ~ big_f(X25,skolem0001) ),
inference(factor,[status(thm)],[c8]) ).
cnf(c29,plain,
~ big_f(X26,skolem0001),
inference(resolution,[status(thm)],[c18,c11]) ).
cnf(c33,plain,
$false,
inference(resolution,[status(thm)],[c29,c12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN350+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 19:44:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.54 % Version: 1.5
% 0.22/0.54 % SZS status Theorem
% 0.22/0.54 % SZS output start CNFRefutation
% See solution above
% 0.22/0.54
% 0.22/0.54 % Initial clauses : 6
% 0.22/0.54 % Processed clauses : 10
% 0.22/0.54 % Factors computed : 3
% 0.22/0.54 % Resolvents computed: 20
% 0.22/0.54 % Tautologies deleted: 0
% 0.22/0.54 % Forward subsumed : 4
% 0.22/0.54 % Backward subsumed : 2
% 0.22/0.54 % -------- CPU Time ---------
% 0.22/0.54 % User time : 0.175 s
% 0.22/0.54 % System time : 0.009 s
% 0.22/0.54 % Total time : 0.184 s
%------------------------------------------------------------------------------