%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:47:56 EDT 2024
% Result : Theorem 0.39s 0.57s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 3 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 141 ( 48 ~; 55 |; 24 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 44 ( 2 sgn 10 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_6,conjecture,
? [X,Y] :
! [Z] :
( ( big_f(X,Y)
=> ( big_f(X,Z)
<=> big_g(Y,Z) ) )
=> ( ( big_f(X,Y)
<=> ( big_f(Z,Z)
=> big_g(Z,Z) ) )
=> ( big_g(X,Y)
<=> big_g(Z,Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_6) ).
fof(c0,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( ( big_f(X,Y)
=> ( big_f(X,Z)
<=> big_g(Y,Z) ) )
=> ( ( big_f(X,Y)
<=> ( big_f(Z,Z)
=> big_g(Z,Z) ) )
=> ( big_g(X,Y)
<=> big_g(Z,Z) ) ) ),
inference(assume_negation,[status(cth)],[church_46_14_6]) ).
fof(c1,negated_conjecture,
! [X,Y] :
? [Z] :
( ( ~ big_f(X,Y)
| ( ( ~ big_f(X,Z)
| big_g(Y,Z) )
& ( ~ big_g(Y,Z)
| big_f(X,Z) ) ) )
& ( ~ big_f(X,Y)
| ~ big_f(Z,Z)
| big_g(Z,Z) )
& ( ( big_f(Z,Z)
& ~ big_g(Z,Z) )
| big_f(X,Y) )
& ( ~ big_g(X,Y)
| ~ big_g(Z,Z) )
& ( big_g(X,Y)
| big_g(Z,Z) ) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
! [X2,X3] :
? [X4] :
( ( ~ big_f(X2,X3)
| ( ( ~ big_f(X2,X4)
| big_g(X3,X4) )
& ( ~ big_g(X3,X4)
| big_f(X2,X4) ) ) )
& ( ~ big_f(X2,X3)
| ~ big_f(X4,X4)
| big_g(X4,X4) )
& ( ( big_f(X4,X4)
& ~ big_g(X4,X4) )
| big_f(X2,X3) )
& ( ~ big_g(X2,X3)
| ~ big_g(X4,X4) )
& ( big_g(X2,X3)
| big_g(X4,X4) ) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
! [X2,X3] :
( ( ~ big_f(X2,X3)
| ( ( ~ big_f(X2,skolem0001(X2,X3))
| big_g(X3,skolem0001(X2,X3)) )
& ( ~ big_g(X3,skolem0001(X2,X3))
| big_f(X2,skolem0001(X2,X3)) ) ) )
& ( ~ big_f(X2,X3)
| ~ big_f(skolem0001(X2,X3),skolem0001(X2,X3))
| big_g(skolem0001(X2,X3),skolem0001(X2,X3)) )
& ( ( big_f(skolem0001(X2,X3),skolem0001(X2,X3))
& ~ big_g(skolem0001(X2,X3),skolem0001(X2,X3)) )
| big_f(X2,X3) )
& ( ~ big_g(X2,X3)
| ~ big_g(skolem0001(X2,X3),skolem0001(X2,X3)) )
& ( big_g(X2,X3)
| big_g(skolem0001(X2,X3),skolem0001(X2,X3)) ) ),
inference(skolemize,[status(esa)],[c2]) ).
fof(c4,negated_conjecture,
! [X2,X3] :
( ( ~ big_f(X2,X3)
| ~ big_f(X2,skolem0001(X2,X3))
| big_g(X3,skolem0001(X2,X3)) )
& ( ~ big_f(X2,X3)
| ~ big_g(X3,skolem0001(X2,X3))
| big_f(X2,skolem0001(X2,X3)) )
& ( ~ big_f(X2,X3)
| ~ big_f(skolem0001(X2,X3),skolem0001(X2,X3))
| big_g(skolem0001(X2,X3),skolem0001(X2,X3)) )
& ( big_f(skolem0001(X2,X3),skolem0001(X2,X3))
| big_f(X2,X3) )
& ( ~ big_g(skolem0001(X2,X3),skolem0001(X2,X3))
| big_f(X2,X3) )
& ( ~ big_g(X2,X3)
| ~ big_g(skolem0001(X2,X3),skolem0001(X2,X3)) )
& ( big_g(X2,X3)
| big_g(skolem0001(X2,X3),skolem0001(X2,X3)) ) ),
inference(distribute,[status(thm)],[c3]) ).
cnf(c9,negated_conjecture,
( ~ big_g(skolem0001(X8,X7),skolem0001(X8,X7))
| big_f(X8,X7) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c11,negated_conjecture,
( big_g(X12,X11)
| big_g(skolem0001(X12,X11),skolem0001(X12,X11)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c14,plain,
( big_g(X13,X14)
| big_f(X13,X14) ),
inference(resolution,[status(thm)],[c11,c9]) ).
cnf(c5,negated_conjecture,
( ~ big_f(X16,X15)
| ~ big_f(X16,skolem0001(X16,X15))
| big_g(X15,skolem0001(X16,X15)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c19,plain,
( ~ big_f(X33,X34)
| big_g(X34,skolem0001(X33,X34))
| big_g(X33,skolem0001(X33,X34)) ),
inference(resolution,[status(thm)],[c5,c14]) ).
cnf(c32,plain,
( big_g(X46,skolem0001(X45,X46))
| big_g(X45,skolem0001(X45,X46))
| big_g(X45,X46) ),
inference(resolution,[status(thm)],[c19,c14]) ).
cnf(c44,plain,
( big_g(X47,skolem0001(X47,X47))
| big_g(X47,X47) ),
inference(factor,[status(thm)],[c32]) ).
cnf(c10,negated_conjecture,
( ~ big_g(X10,X9)
| ~ big_g(skolem0001(X10,X9),skolem0001(X10,X9)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c7,negated_conjecture,
( ~ big_f(X28,X27)
| ~ big_f(skolem0001(X28,X27),skolem0001(X28,X27))
| big_g(skolem0001(X28,X27),skolem0001(X28,X27)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c26,plain,
( ~ big_f(X30,X29)
| big_g(skolem0001(X30,X29),skolem0001(X30,X29)) ),
inference(resolution,[status(thm)],[c7,c14]) ).
cnf(c6,negated_conjecture,
( ~ big_f(X26,X25)
| ~ big_g(X25,skolem0001(X26,X25))
| big_f(X26,skolem0001(X26,X25)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c54,plain,
( big_g(X48,X48)
| ~ big_f(X48,X48)
| big_f(X48,skolem0001(X48,X48)) ),
inference(resolution,[status(thm)],[c44,c6]) ).
cnf(c59,plain,
( big_g(X51,X51)
| big_f(X51,skolem0001(X51,X51)) ),
inference(resolution,[status(thm)],[c54,c14]) ).
cnf(c77,plain,
( big_g(X85,X85)
| big_g(skolem0001(X85,skolem0001(X85,X85)),skolem0001(X85,skolem0001(X85,X85))) ),
inference(resolution,[status(thm)],[c59,c26]) ).
cnf(c203,plain,
( big_g(X86,X86)
| ~ big_g(X86,skolem0001(X86,X86)) ),
inference(resolution,[status(thm)],[c77,c10]) ).
cnf(c209,plain,
big_g(X87,X87),
inference(resolution,[status(thm)],[c203,c44]) ).
cnf(c219,plain,
~ big_g(X90,X91),
inference(resolution,[status(thm)],[c209,c10]) ).
cnf(c227,plain,
$false,
inference(resolution,[status(thm)],[c219,c209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN334+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed May 8 20:06:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.39/0.57 % Version: 1.5
% 0.39/0.57 % SZS status Theorem
% 0.39/0.57 % SZS output start CNFRefutation
% See solution above
% 0.39/0.57
% 0.39/0.57 % Initial clauses : 7
% 0.39/0.57 % Processed clauses : 33
% 0.39/0.57 % Factors computed : 2
% 0.39/0.57 % Resolvents computed: 218
% 0.39/0.57 % Tautologies deleted: 2
% 0.39/0.57 % Forward subsumed : 14
% 0.39/0.57 % Backward subsumed : 18
% 0.39/0.57 % -------- CPU Time ---------
% 0.39/0.57 % User time : 0.200 s
% 0.39/0.57 % System time : 0.013 s
% 0.39/0.57 % Total time : 0.213 s
%------------------------------------------------------------------------------