%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN331+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 59 ( 15 ~; 16 |; 18 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 25 ( 3 sgn 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_3,conjecture,
? [X,Y] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y,Z)
=> ( ( big_f(X,Y)
<=> big_f(Z,Z) )
=> ( ( big_f(Y,X)
| big_f(Z,Z) )
=> ( big_f(Z,X)
| big_f(Z,Y) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_14_3) ).
fof(c0,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( big_f(X,Z)
=> ( big_f(Y,Z)
=> ( ( big_f(X,Y)
<=> big_f(Z,Z) )
=> ( ( big_f(Y,X)
| big_f(Z,Z) )
=> ( big_f(Z,X)
| big_f(Z,Y) ) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_14_3]) ).
fof(c1,negated_conjecture,
! [X,Y] :
? [Z] :
( big_f(X,Z)
& big_f(Y,Z)
& ( ~ big_f(X,Y)
| big_f(Z,Z) )
& ( ~ big_f(Z,Z)
| big_f(X,Y) )
& ( big_f(Y,X)
| big_f(Z,Z) )
& ~ big_f(Z,X)
& ~ big_f(Z,Y) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
! [X2,X3] :
? [X4] :
( big_f(X2,X4)
& big_f(X3,X4)
& ( ~ big_f(X2,X3)
| big_f(X4,X4) )
& ( ~ big_f(X4,X4)
| big_f(X2,X3) )
& ( big_f(X3,X2)
| big_f(X4,X4) )
& ~ big_f(X4,X2)
& ~ big_f(X4,X3) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
! [X2,X3] :
( big_f(X2,skolem0001(X2,X3))
& big_f(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(X2,X3) )
& ( big_f(X3,X2)
| big_f(skolem0001(X2,X3),skolem0001(X2,X3)) )
& ~ big_f(skolem0001(X2,X3),X2)
& ~ big_f(skolem0001(X2,X3),X3) ),
inference(skolemize,[status(esa)],[c2]) ).
cnf(c10,negated_conjecture,
~ big_f(skolem0001(X12,X11),X11),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c7,negated_conjecture,
( ~ big_f(skolem0001(X16,X15),skolem0001(X16,X15))
| big_f(X16,X15) ),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c8,negated_conjecture,
( big_f(X17,X18)
| big_f(skolem0001(X18,X17),skolem0001(X18,X17)) ),
inference(split_conjunct,[status(thm)],[c3]) ).
cnf(c18,plain,
( big_f(X19,X20)
| big_f(X20,X19) ),
inference(resolution,[status(thm)],[c8,c7]) ).
cnf(c19,plain,
big_f(X21,X21),
inference(factor,[status(thm)],[c18]) ).
cnf(c28,plain,
big_f(X23,X22),
inference(resolution,[status(thm)],[c19,c7]) ).
cnf(c29,plain,
$false,
inference(resolution,[status(thm)],[c28,c10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN331+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 20:05:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.53 % Version: 1.5
% 0.20/0.53 % SZS status Theorem
% 0.20/0.53 % SZS output start CNFRefutation
% See solution above
% 0.20/0.53
% 0.20/0.53 % Initial clauses : 7
% 0.20/0.53 % Processed clauses : 10
% 0.20/0.53 % Factors computed : 1
% 0.20/0.53 % Resolvents computed: 19
% 0.20/0.53 % Tautologies deleted: 0
% 0.20/0.53 % Forward subsumed : 0
% 0.20/0.53 % Backward subsumed : 7
% 0.20/0.53 % -------- CPU Time ---------
% 0.20/0.53 % User time : 0.156 s
% 0.20/0.53 % System time : 0.019 s
% 0.20/0.53 % Total time : 0.175 s
%------------------------------------------------------------------------------