%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN332+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:47:55 EDT 2024
% Result : Theorem 0.39s 0.58s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 4 unt; 0 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 34 ( 8 avg)
% Number of connectives : 248 ( 76 ~; 84 |; 55 &)
% ( 16 <=>; 15 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 49 ( 2 sgn 11 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_4,conjecture,
? [X,Y] :
! [Z] :
( ( ( big_f(X,Y)
& big_f(Y,X) )
<~> big_f(X,Z) )
=> ( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( ( big_f(X,Z)
<=> big_f(Y,Z) )
=> ( ( ( big_f(Y,X)
=> big_f(X,Y) )
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
<=> big_f(Z,Y) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_4) ).
fof(c0,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( ( ( big_f(X,Y)
& big_f(Y,X) )
<~> big_f(X,Z) )
=> ( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( ( big_f(X,Z)
<=> big_f(Y,Z) )
=> ( ( ( big_f(Y,X)
=> big_f(X,Y) )
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
<=> big_f(Z,Y) ) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_14_4]) ).
fof(c1,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( ~ ( ( big_f(X,Y)
& big_f(Y,X) )
<=> big_f(X,Z) )
=> ( ( big_f(X,Z)
<=> big_f(Z,X) )
=> ( ( big_f(X,Z)
<=> big_f(Y,Z) )
=> ( ( ( big_f(Y,X)
=> big_f(X,Y) )
<=> big_f(Z,Z) )
=> ( ( big_f(X,Y)
<=> big_f(Y,X) )
<=> big_f(Z,Y) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
! [X,Y] :
? [Z] :
( ( ~ big_f(X,Y)
| ~ big_f(Y,X)
| ~ big_f(X,Z) )
& ( ( big_f(X,Y)
& big_f(Y,X) )
| big_f(X,Z) )
& ( ~ big_f(X,Z)
| big_f(Z,X) )
& ( ~ big_f(Z,X)
| big_f(X,Z) )
& ( ~ big_f(X,Z)
| big_f(Y,Z) )
& ( ~ big_f(Y,Z)
| big_f(X,Z) )
& ( ( big_f(Y,X)
& ~ big_f(X,Y) )
| big_f(Z,Z) )
& ( ~ big_f(Z,Z)
| ~ big_f(Y,X)
| big_f(X,Y) )
& ( ( ( ~ big_f(X,Y)
| ~ big_f(Y,X) )
& ( big_f(X,Y)
| big_f(Y,X) ) )
| ~ big_f(Z,Y) )
& ( ( ( ~ big_f(X,Y)
| big_f(Y,X) )
& ( ~ big_f(Y,X)
| big_f(X,Y) ) )
| big_f(Z,Y) ) ),
inference(fof_nnf,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
! [X2,X3] :
? [X4] :
( ( ~ big_f(X2,X3)
| ~ big_f(X3,X2)
| ~ big_f(X2,X4) )
& ( ( big_f(X2,X3)
& big_f(X3,X2) )
| big_f(X2,X4) )
& ( ~ big_f(X2,X4)
| big_f(X4,X2) )
& ( ~ big_f(X4,X2)
| big_f(X2,X4) )
& ( ~ big_f(X2,X4)
| big_f(X3,X4) )
& ( ~ big_f(X3,X4)
| big_f(X2,X4) )
& ( ( big_f(X3,X2)
& ~ big_f(X2,X3) )
| big_f(X4,X4) )
& ( ~ big_f(X4,X4)
| ~ big_f(X3,X2)
| big_f(X2,X3) )
& ( ( ( ~ big_f(X2,X3)
| ~ big_f(X3,X2) )
& ( big_f(X2,X3)
| big_f(X3,X2) ) )
| ~ big_f(X4,X3) )
& ( ( ( ~ big_f(X2,X3)
| big_f(X3,X2) )
& ( ~ big_f(X3,X2)
| big_f(X2,X3) ) )
| big_f(X4,X3) ) ),
inference(variable_rename,[status(thm)],[c2]) ).
fof(c4,negated_conjecture,
! [X2,X3] :
( ( ~ big_f(X2,X3)
| ~ big_f(X3,X2)
| ~ big_f(X2,skolem0001(X2,X3)) )
& ( ( big_f(X2,X3)
& big_f(X3,X2) )
| big_f(X2,skolem0001(X2,X3)) )
& ( ~ big_f(X2,skolem0001(X2,X3))
| big_f(skolem0001(X2,X3),X2) )
& ( ~ big_f(skolem0001(X2,X3),X2)
| big_f(X2,skolem0001(X2,X3)) )
& ( ~ big_f(X2,skolem0001(X2,X3))
| big_f(X3,skolem0001(X2,X3)) )
& ( ~ big_f(X3,skolem0001(X2,X3))
| big_f(X2,skolem0001(X2,X3)) )
& ( ( big_f(X3,X2)
& ~ big_f(X2,X3) )
| big_f(skolem0001(X2,X3),skolem0001(X2,X3)) )
& ( ~ big_f(skolem0001(X2,X3),skolem0001(X2,X3))
| ~ big_f(X3,X2)
| big_f(X2,X3) )
& ( ( ( ~ big_f(X2,X3)
| ~ big_f(X3,X2) )
& ( big_f(X2,X3)
| big_f(X3,X2) ) )
| ~ big_f(skolem0001(X2,X3),X3) )
& ( ( ( ~ big_f(X2,X3)
| big_f(X3,X2) )
& ( ~ big_f(X3,X2)
| big_f(X2,X3) ) )
| big_f(skolem0001(X2,X3),X3) ) ),
inference(skolemize,[status(esa)],[c3]) ).
fof(c5,negated_conjecture,
! [X2,X3] :
( ( ~ big_f(X2,X3)
| ~ big_f(X3,X2)
| ~ big_f(X2,skolem0001(X2,X3)) )
& ( big_f(X2,X3)
| big_f(X2,skolem0001(X2,X3)) )
& ( big_f(X3,X2)
| big_f(X2,skolem0001(X2,X3)) )
& ( ~ big_f(X2,skolem0001(X2,X3))
| big_f(skolem0001(X2,X3),X2) )
& ( ~ big_f(skolem0001(X2,X3),X2)
| big_f(X2,skolem0001(X2,X3)) )
& ( ~ big_f(X2,skolem0001(X2,X3))
| big_f(X3,skolem0001(X2,X3)) )
& ( ~ big_f(X3,skolem0001(X2,X3))
| big_f(X2,skolem0001(X2,X3)) )
& ( big_f(X3,X2)
| big_f(skolem0001(X2,X3),skolem0001(X2,X3)) )
& ( ~ big_f(X2,X3)
| big_f(skolem0001(X2,X3),skolem0001(X2,X3)) )
& ( ~ big_f(skolem0001(X2,X3),skolem0001(X2,X3))
| ~ big_f(X3,X2)
| big_f(X2,X3) )
& ( ~ big_f(X2,X3)
| ~ big_f(X3,X2)
| ~ big_f(skolem0001(X2,X3),X3) )
& ( big_f(X2,X3)
| big_f(X3,X2)
| ~ big_f(skolem0001(X2,X3),X3) )
& ( ~ big_f(X2,X3)
| big_f(X3,X2)
| big_f(skolem0001(X2,X3),X3) )
& ( ~ big_f(X3,X2)
| big_f(X2,X3)
| big_f(skolem0001(X2,X3),X3) ) ),
inference(distribute,[status(thm)],[c4]) ).
cnf(c15,negated_conjecture,
( ~ big_f(skolem0001(X54,X55),skolem0001(X54,X55))
| ~ big_f(X55,X54)
| big_f(X54,X55) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c8,negated_conjecture,
( big_f(X8,X7)
| big_f(X7,skolem0001(X7,X8)) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c9,negated_conjecture,
( ~ big_f(X9,skolem0001(X9,X10))
| big_f(skolem0001(X9,X10),X9) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c21,plain,
( big_f(skolem0001(X12,X11),X12)
| big_f(X11,X12) ),
inference(resolution,[status(thm)],[c9,c8]) ).
cnf(c17,negated_conjecture,
( big_f(X59,X60)
| big_f(X60,X59)
| ~ big_f(skolem0001(X59,X60),X60) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c109,plain,
big_f(X61,X61),
inference(resolution,[status(thm)],[c17,c21]) ).
cnf(c113,plain,
( ~ big_f(X65,X66)
| big_f(X66,X65) ),
inference(resolution,[status(thm)],[c109,c15]) ).
cnf(c7,negated_conjecture,
( big_f(X5,X6)
| big_f(X5,skolem0001(X5,X6)) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c11,negated_conjecture,
( ~ big_f(X27,skolem0001(X27,X28))
| big_f(X28,skolem0001(X27,X28)) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c39,plain,
( big_f(X33,skolem0001(X32,X33))
| big_f(X32,X33) ),
inference(resolution,[status(thm)],[c11,c7]) ).
cnf(c130,plain,
( big_f(skolem0001(X75,X76),X76)
| big_f(X75,X76) ),
inference(resolution,[status(thm)],[c113,c39]) ).
cnf(c141,plain,
( big_f(X77,X78)
| big_f(X78,X77) ),
inference(resolution,[status(thm)],[c130,c17]) ).
cnf(c150,plain,
big_f(X81,X80),
inference(resolution,[status(thm)],[c141,c113]) ).
cnf(c6,negated_conjecture,
( ~ big_f(X15,X16)
| ~ big_f(X16,X15)
| ~ big_f(X15,skolem0001(X15,X16)) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c160,plain,
( ~ big_f(X86,X87)
| ~ big_f(X87,X86) ),
inference(resolution,[status(thm)],[c150,c6]) ).
cnf(c162,plain,
~ big_f(X88,X88),
inference(factor,[status(thm)],[c160]) ).
cnf(c164,plain,
$false,
inference(resolution,[status(thm)],[c162,c150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN332+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n024.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 20:26:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.39/0.58 % Version: 1.5
% 0.39/0.58 % SZS status Theorem
% 0.39/0.58 % SZS output start CNFRefutation
% See solution above
% 0.39/0.58
% 0.39/0.58 % Initial clauses : 14
% 0.39/0.58 % Processed clauses : 24
% 0.39/0.58 % Factors computed : 2
% 0.39/0.58 % Resolvents computed: 143
% 0.39/0.58 % Tautologies deleted: 7
% 0.39/0.58 % Forward subsumed : 19
% 0.39/0.58 % Backward subsumed : 21
% 0.39/0.58 % -------- CPU Time ---------
% 0.39/0.58 % User time : 0.228 s
% 0.39/0.58 % System time : 0.011 s
% 0.39/0.58 % Total time : 0.239 s
%------------------------------------------------------------------------------