%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 0.40s 0.59s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 167 ( 0 equ)
% Maximal formula atoms : 36 ( 6 avg)
% Number of connectives : 219 ( 76 ~; 97 |; 36 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 43 ( 0 sgn 12 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_5,conjecture,
? [X1] :
! [X2] :
? [X3] :
! [X4] :
( ( big_f(X1,X4)
<=> big_f(X2,X4) )
=> ( ( ( big_f(X1,X4)
<=> big_f(X4,X3) )
<=> big_f(X3,X4) )
<=> big_f(X4,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_17_5) ).
fof(c0,negated_conjecture,
~ ? [X1] :
! [X2] :
? [X3] :
! [X4] :
( ( big_f(X1,X4)
<=> big_f(X2,X4) )
=> ( ( ( big_f(X1,X4)
<=> big_f(X4,X3) )
<=> big_f(X3,X4) )
<=> big_f(X4,X2) ) ),
inference(assume_negation,[status(cth)],[church_46_17_5]) ).
fof(c1,negated_conjecture,
! [X1] :
? [X2] :
! [X3] :
? [X4] :
( ( ~ big_f(X1,X4)
| big_f(X2,X4) )
& ( ~ big_f(X2,X4)
| big_f(X1,X4) )
& ( ( ( ( ( ~ big_f(X1,X4)
| ~ big_f(X4,X3) )
& ( big_f(X1,X4)
| big_f(X4,X3) ) )
| ~ big_f(X3,X4) )
& ( ( ( ~ big_f(X1,X4)
| big_f(X4,X3) )
& ( ~ big_f(X4,X3)
| big_f(X1,X4) ) )
| big_f(X3,X4) ) )
| ~ big_f(X4,X2) )
& ( ( ( ( ( ~ big_f(X1,X4)
| ~ big_f(X4,X3) )
& ( big_f(X1,X4)
| big_f(X4,X3) ) )
| big_f(X3,X4) )
& ( ~ big_f(X3,X4)
| ( ( ~ big_f(X1,X4)
| big_f(X4,X3) )
& ( ~ big_f(X4,X3)
| big_f(X1,X4) ) ) ) )
| big_f(X4,X2) ) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
! [X2] :
? [X3] :
! [X4] :
? [X5] :
( ( ~ big_f(X2,X5)
| big_f(X3,X5) )
& ( ~ big_f(X3,X5)
| big_f(X2,X5) )
& ( ( ( ( ( ~ big_f(X2,X5)
| ~ big_f(X5,X4) )
& ( big_f(X2,X5)
| big_f(X5,X4) ) )
| ~ big_f(X4,X5) )
& ( ( ( ~ big_f(X2,X5)
| big_f(X5,X4) )
& ( ~ big_f(X5,X4)
| big_f(X2,X5) ) )
| big_f(X4,X5) ) )
| ~ big_f(X5,X3) )
& ( ( ( ( ( ~ big_f(X2,X5)
| ~ big_f(X5,X4) )
& ( big_f(X2,X5)
| big_f(X5,X4) ) )
| big_f(X4,X5) )
& ( ~ big_f(X4,X5)
| ( ( ~ big_f(X2,X5)
| big_f(X5,X4) )
& ( ~ big_f(X5,X4)
| big_f(X2,X5) ) ) ) )
| big_f(X5,X3) ) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
! [X2,X4] :
( ( ~ big_f(X2,skolem0002(X2,X4))
| big_f(skolem0001(X2),skolem0002(X2,X4)) )
& ( ~ big_f(skolem0001(X2),skolem0002(X2,X4))
| big_f(X2,skolem0002(X2,X4)) )
& ( ( ( ( ( ~ big_f(X2,skolem0002(X2,X4))
| ~ big_f(skolem0002(X2,X4),X4) )
& ( big_f(X2,skolem0002(X2,X4))
| big_f(skolem0002(X2,X4),X4) ) )
| ~ big_f(X4,skolem0002(X2,X4)) )
& ( ( ( ~ big_f(X2,skolem0002(X2,X4))
| big_f(skolem0002(X2,X4),X4) )
& ( ~ big_f(skolem0002(X2,X4),X4)
| big_f(X2,skolem0002(X2,X4)) ) )
| big_f(X4,skolem0002(X2,X4)) ) )
| ~ big_f(skolem0002(X2,X4),skolem0001(X2)) )
& ( ( ( ( ( ~ big_f(X2,skolem0002(X2,X4))
| ~ big_f(skolem0002(X2,X4),X4) )
& ( big_f(X2,skolem0002(X2,X4))
| big_f(skolem0002(X2,X4),X4) ) )
| big_f(X4,skolem0002(X2,X4)) )
& ( ~ big_f(X4,skolem0002(X2,X4))
| ( ( ~ big_f(X2,skolem0002(X2,X4))
| big_f(skolem0002(X2,X4),X4) )
& ( ~ big_f(skolem0002(X2,X4),X4)
| big_f(X2,skolem0002(X2,X4)) ) ) ) )
| big_f(skolem0002(X2,X4),skolem0001(X2)) ) ),
inference(skolemize,[status(esa)],[c2]) ).
fof(c4,negated_conjecture,
! [X2,X4] :
( ( ~ big_f(X2,skolem0002(X2,X4))
| big_f(skolem0001(X2),skolem0002(X2,X4)) )
& ( ~ big_f(skolem0001(X2),skolem0002(X2,X4))
| big_f(X2,skolem0002(X2,X4)) )
& ( ~ big_f(X2,skolem0002(X2,X4))
| ~ big_f(skolem0002(X2,X4),X4)
| ~ big_f(X4,skolem0002(X2,X4))
| ~ big_f(skolem0002(X2,X4),skolem0001(X2)) )
& ( big_f(X2,skolem0002(X2,X4))
| big_f(skolem0002(X2,X4),X4)
| ~ big_f(X4,skolem0002(X2,X4))
| ~ big_f(skolem0002(X2,X4),skolem0001(X2)) )
& ( ~ big_f(X2,skolem0002(X2,X4))
| big_f(skolem0002(X2,X4),X4)
| big_f(X4,skolem0002(X2,X4))
| ~ big_f(skolem0002(X2,X4),skolem0001(X2)) )
& ( ~ big_f(skolem0002(X2,X4),X4)
| big_f(X2,skolem0002(X2,X4))
| big_f(X4,skolem0002(X2,X4))
| ~ big_f(skolem0002(X2,X4),skolem0001(X2)) )
& ( ~ big_f(X2,skolem0002(X2,X4))
| ~ big_f(skolem0002(X2,X4),X4)
| big_f(X4,skolem0002(X2,X4))
| big_f(skolem0002(X2,X4),skolem0001(X2)) )
& ( big_f(X2,skolem0002(X2,X4))
| big_f(skolem0002(X2,X4),X4)
| big_f(X4,skolem0002(X2,X4))
| big_f(skolem0002(X2,X4),skolem0001(X2)) )
& ( ~ big_f(X4,skolem0002(X2,X4))
| ~ big_f(X2,skolem0002(X2,X4))
| big_f(skolem0002(X2,X4),X4)
| big_f(skolem0002(X2,X4),skolem0001(X2)) )
& ( ~ big_f(X4,skolem0002(X2,X4))
| ~ big_f(skolem0002(X2,X4),X4)
| big_f(X2,skolem0002(X2,X4))
| big_f(skolem0002(X2,X4),skolem0001(X2)) ) ),
inference(distribute,[status(thm)],[c3]) ).
cnf(c6,negated_conjecture,
( ~ big_f(skolem0001(X8),skolem0002(X8,X9))
| big_f(X8,skolem0002(X8,X9)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c5,negated_conjecture,
( ~ big_f(X6,skolem0002(X6,X7))
| big_f(skolem0001(X6),skolem0002(X6,X7)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c12,negated_conjecture,
( big_f(X20,skolem0002(X20,X21))
| big_f(skolem0002(X20,X21),X21)
| big_f(X21,skolem0002(X20,X21))
| big_f(skolem0002(X20,X21),skolem0001(X20)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c25,plain,
( big_f(X22,skolem0002(X22,skolem0001(X22)))
| big_f(skolem0002(X22,skolem0001(X22)),skolem0001(X22)) ),
inference(resolution,[status(thm)],[c12,c6]) ).
cnf(c32,plain,
( big_f(skolem0002(X23,skolem0001(X23)),skolem0001(X23))
| big_f(skolem0001(X23),skolem0002(X23,skolem0001(X23))) ),
inference(resolution,[status(thm)],[c25,c5]) ).
cnf(c13,negated_conjecture,
( ~ big_f(X26,skolem0002(X25,X26))
| ~ big_f(X25,skolem0002(X25,X26))
| big_f(skolem0002(X25,X26),X26)
| big_f(skolem0002(X25,X26),skolem0001(X25)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c46,plain,
( ~ big_f(skolem0001(X27),skolem0002(X27,skolem0001(X27)))
| big_f(skolem0002(X27,skolem0001(X27)),skolem0001(X27)) ),
inference(resolution,[status(thm)],[c13,c25]) ).
cnf(c49,plain,
big_f(skolem0002(X28,skolem0001(X28)),skolem0001(X28)),
inference(resolution,[status(thm)],[c46,c32]) ).
cnf(c10,negated_conjecture,
( ~ big_f(skolem0002(X16,X17),X17)
| big_f(X16,skolem0002(X16,X17))
| big_f(X17,skolem0002(X16,X17))
| ~ big_f(skolem0002(X16,X17),skolem0001(X16)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c16,plain,
( ~ big_f(skolem0002(X45,skolem0001(X45)),skolem0001(X45))
| big_f(X45,skolem0002(X45,skolem0001(X45)))
| big_f(skolem0001(X45),skolem0002(X45,skolem0001(X45))) ),
inference(factor,[status(thm)],[c10]) ).
cnf(c77,plain,
( big_f(X46,skolem0002(X46,skolem0001(X46)))
| big_f(skolem0001(X46),skolem0002(X46,skolem0001(X46))) ),
inference(resolution,[status(thm)],[c16,c49]) ).
cnf(c82,plain,
big_f(X47,skolem0002(X47,skolem0001(X47))),
inference(resolution,[status(thm)],[c77,c6]) ).
cnf(c7,negated_conjecture,
( ~ big_f(X10,skolem0002(X10,X11))
| ~ big_f(skolem0002(X10,X11),X11)
| ~ big_f(X11,skolem0002(X10,X11))
| ~ big_f(skolem0002(X10,X11),skolem0001(X10)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c15,plain,
( ~ big_f(X39,skolem0002(X39,skolem0001(X39)))
| ~ big_f(skolem0002(X39,skolem0001(X39)),skolem0001(X39))
| ~ big_f(skolem0001(X39),skolem0002(X39,skolem0001(X39))) ),
inference(factor,[status(thm)],[c7]) ).
cnf(c79,plain,
big_f(skolem0001(X48),skolem0002(X48,skolem0001(X48))),
inference(resolution,[status(thm)],[c77,c5]) ).
cnf(c85,plain,
( ~ big_f(X52,skolem0002(X52,skolem0001(X52)))
| ~ big_f(skolem0002(X52,skolem0001(X52)),skolem0001(X52)) ),
inference(resolution,[status(thm)],[c79,c15]) ).
cnf(c88,plain,
~ big_f(X53,skolem0002(X53,skolem0001(X53))),
inference(resolution,[status(thm)],[c85,c49]) ).
cnf(c91,plain,
$false,
inference(resolution,[status(thm)],[c88,c82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN349+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 20:06:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.40/0.59 % Version: 1.5
% 0.40/0.59 % SZS status Theorem
% 0.40/0.59 % SZS output start CNFRefutation
% See solution above
% 0.40/0.59
% 0.40/0.59 % Initial clauses : 10
% 0.40/0.59 % Processed clauses : 24
% 0.40/0.59 % Factors computed : 5
% 0.40/0.59 % Resolvents computed: 72
% 0.40/0.59 % Tautologies deleted: 8
% 0.40/0.59 % Forward subsumed : 6
% 0.40/0.59 % Backward subsumed : 9
% 0.40/0.59 % -------- CPU Time ---------
% 0.40/0.59 % User time : 0.220 s
% 0.40/0.59 % System time : 0.018 s
% 0.40/0.59 % Total time : 0.238 s
%------------------------------------------------------------------------------