%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN351+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n003.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 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 22 ( 7 avg)
% Number of connectives : 107 ( 31 ~; 30 |; 32 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 3 sgn 14 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_18_3,conjecture,
! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( big_f(X1,Y2,X1,Z)
=> ( ( big_f(X1,Y1,X1,Y2)
<=> big_f(Y1,X2,Y1,Y2) )
=> ( big_f(X1,Y1,X1,Y2)
=> ( ( big_f(X1,Y2,Y1,Y2)
=> big_f(X1,Z,Y1,Z) )
& ( big_f(X1,Z,Y1,Z)
=> ( big_f(X1,Y1,X1,Y2)
<=> big_f(X1,Y2,Y1,Y2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_18_3) ).
fof(c0,negated_conjecture,
~ ! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( big_f(X1,Y2,X1,Z)
=> ( ( big_f(X1,Y1,X1,Y2)
<=> big_f(Y1,X2,Y1,Y2) )
=> ( big_f(X1,Y1,X1,Y2)
=> ( ( big_f(X1,Y2,Y1,Y2)
=> big_f(X1,Z,Y1,Z) )
& ( big_f(X1,Z,Y1,Z)
=> ( big_f(X1,Y1,X1,Y2)
<=> big_f(X1,Y2,Y1,Y2) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_18_3]) ).
fof(c1,negated_conjecture,
? [X1,X2] :
! [Y1,Y2] :
? [Z] :
( big_f(X1,Y2,X1,Z)
& ( ~ big_f(X1,Y1,X1,Y2)
| big_f(Y1,X2,Y1,Y2) )
& ( ~ big_f(Y1,X2,Y1,Y2)
| big_f(X1,Y1,X1,Y2) )
& big_f(X1,Y1,X1,Y2)
& ( ( big_f(X1,Y2,Y1,Y2)
& ~ big_f(X1,Z,Y1,Z) )
| ( big_f(X1,Z,Y1,Z)
& ( ~ big_f(X1,Y1,X1,Y2)
| ~ big_f(X1,Y2,Y1,Y2) )
& ( big_f(X1,Y1,X1,Y2)
| big_f(X1,Y2,Y1,Y2) ) ) ) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X2,X3] :
! [X4,X5] :
? [X6] :
( big_f(X2,X5,X2,X6)
& ( ~ big_f(X2,X4,X2,X5)
| big_f(X4,X3,X4,X5) )
& ( ~ big_f(X4,X3,X4,X5)
| big_f(X2,X4,X2,X5) )
& big_f(X2,X4,X2,X5)
& ( ( big_f(X2,X5,X4,X5)
& ~ big_f(X2,X6,X4,X6) )
| ( big_f(X2,X6,X4,X6)
& ( ~ big_f(X2,X4,X2,X5)
| ~ big_f(X2,X5,X4,X5) )
& ( big_f(X2,X4,X2,X5)
| big_f(X2,X5,X4,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
! [X4,X5] :
( big_f(skolem0001,X5,skolem0001,skolem0003(X4,X5))
& ( ~ big_f(skolem0001,X4,skolem0001,X5)
| big_f(X4,skolem0002,X4,X5) )
& ( ~ big_f(X4,skolem0002,X4,X5)
| big_f(skolem0001,X4,skolem0001,X5) )
& big_f(skolem0001,X4,skolem0001,X5)
& ( ( big_f(skolem0001,X5,X4,X5)
& ~ big_f(skolem0001,skolem0003(X4,X5),X4,skolem0003(X4,X5)) )
| ( big_f(skolem0001,skolem0003(X4,X5),X4,skolem0003(X4,X5))
& ( ~ big_f(skolem0001,X4,skolem0001,X5)
| ~ big_f(skolem0001,X5,X4,X5) )
& ( big_f(skolem0001,X4,skolem0001,X5)
| big_f(skolem0001,X5,X4,X5) ) ) ) ),
inference(skolemize,[status(esa)],[c2]) ).
fof(c4,negated_conjecture,
! [X4,X5] :
( big_f(skolem0001,X5,skolem0001,skolem0003(X4,X5))
& ( ~ big_f(skolem0001,X4,skolem0001,X5)
| big_f(X4,skolem0002,X4,X5) )
& ( ~ big_f(X4,skolem0002,X4,X5)
| big_f(skolem0001,X4,skolem0001,X5) )
& big_f(skolem0001,X4,skolem0001,X5)
& ( big_f(skolem0001,X5,X4,X5)
| big_f(skolem0001,skolem0003(X4,X5),X4,skolem0003(X4,X5)) )
& ( big_f(skolem0001,X5,X4,X5)
| ~ big_f(skolem0001,X4,skolem0001,X5)
| ~ big_f(skolem0001,X5,X4,X5) )
& ( big_f(skolem0001,X5,X4,X5)
| big_f(skolem0001,X4,skolem0001,X5)
| big_f(skolem0001,X5,X4,X5) )
& ( ~ big_f(skolem0001,skolem0003(X4,X5),X4,skolem0003(X4,X5))
| big_f(skolem0001,skolem0003(X4,X5),X4,skolem0003(X4,X5)) )
& ( ~ big_f(skolem0001,skolem0003(X4,X5),X4,skolem0003(X4,X5))
| ~ big_f(skolem0001,X4,skolem0001,X5)
| ~ big_f(skolem0001,X5,X4,X5) )
& ( ~ big_f(skolem0001,skolem0003(X4,X5),X4,skolem0003(X4,X5))
| big_f(skolem0001,X4,skolem0001,X5)
| big_f(skolem0001,X5,X4,X5) ) ),
inference(distribute,[status(thm)],[c3]) ).
cnf(c8,negated_conjecture,
big_f(skolem0001,X7,skolem0001,X8),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c13,negated_conjecture,
( ~ big_f(skolem0001,skolem0003(X25,X26),X25,skolem0003(X25,X26))
| ~ big_f(skolem0001,X25,skolem0001,X26)
| ~ big_f(skolem0001,X26,X25,X26) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c16,plain,
( ~ big_f(skolem0001,skolem0001,skolem0001,X27)
| ~ big_f(skolem0001,X27,skolem0001,X27) ),
inference(resolution,[status(thm)],[c13,c8]) ).
cnf(c20,plain,
~ big_f(skolem0001,skolem0001,skolem0001,X30),
inference(resolution,[status(thm)],[c16,c8]) ).
cnf(c24,plain,
$false,
inference(resolution,[status(thm)],[c20,c8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN351+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n003.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed May 8 20:30:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.20/0.52 % Version: 1.5
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 % SZS output start CNFRefutation
% See solution above
% 0.20/0.52
% 0.20/0.52 % Initial clauses : 10
% 0.20/0.52 % Processed clauses : 7
% 0.20/0.52 % Factors computed : 1
% 0.20/0.52 % Resolvents computed: 10
% 0.20/0.52 % Tautologies deleted: 2
% 0.20/0.52 % Forward subsumed : 4
% 0.20/0.52 % Backward subsumed : 2
% 0.20/0.52 % -------- CPU Time ---------
% 0.20/0.52 % User time : 0.161 s
% 0.20/0.52 % System time : 0.015 s
% 0.20/0.52 % Total time : 0.176 s
%------------------------------------------------------------------------------