%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN326+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 17:47:54 EDT 2024
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 70 ( 16 ~; 14 |; 24 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 21 ( 2 sgn 8 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_12_1,conjecture,
? [X] :
! [Y,Z] :
( ( ( big_f(Y,Z)
=> ( big_g(Y)
=> big_h(X) ) )
=> big_f(X,X) )
=> ( ( ( big_f(Z,X)
=> big_g(X) )
=> big_h(Z) )
=> ( big_f(X,Y)
=> big_f(Z,Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_12_1) ).
fof(c0,negated_conjecture,
~ ? [X] :
! [Y,Z] :
( ( ( big_f(Y,Z)
=> ( big_g(Y)
=> big_h(X) ) )
=> big_f(X,X) )
=> ( ( ( big_f(Z,X)
=> big_g(X) )
=> big_h(Z) )
=> ( big_f(X,Y)
=> big_f(Z,Z) ) ) ),
inference(assume_negation,[status(cth)],[church_46_12_1]) ).
fof(c1,negated_conjecture,
! [X] :
? [Y,Z] :
( ( ( big_f(Y,Z)
& big_g(Y)
& ~ big_h(X) )
| big_f(X,X) )
& ( ( big_f(Z,X)
& ~ big_g(X) )
| big_h(Z) )
& big_f(X,Y)
& ~ big_f(Z,Z) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
! [X2] :
? [X3,X4] :
( ( ( big_f(X3,X4)
& big_g(X3)
& ~ big_h(X2) )
| big_f(X2,X2) )
& ( ( big_f(X4,X2)
& ~ big_g(X2) )
| big_h(X4) )
& big_f(X2,X3)
& ~ big_f(X4,X4) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
! [X2] :
( ( ( big_f(skolem0001(X2),skolem0002(X2))
& big_g(skolem0001(X2))
& ~ big_h(X2) )
| big_f(X2,X2) )
& ( ( big_f(skolem0002(X2),X2)
& ~ big_g(X2) )
| big_h(skolem0002(X2)) )
& big_f(X2,skolem0001(X2))
& ~ big_f(skolem0002(X2),skolem0002(X2)) ),
inference(skolemize,[status(esa)],[c2]) ).
fof(c4,negated_conjecture,
! [X2] :
( ( big_f(skolem0001(X2),skolem0002(X2))
| big_f(X2,X2) )
& ( big_g(skolem0001(X2))
| big_f(X2,X2) )
& ( ~ big_h(X2)
| big_f(X2,X2) )
& ( big_f(skolem0002(X2),X2)
| big_h(skolem0002(X2)) )
& ( ~ big_g(X2)
| big_h(skolem0002(X2)) )
& big_f(X2,skolem0001(X2))
& ~ big_f(skolem0002(X2),skolem0002(X2)) ),
inference(distribute,[status(thm)],[c3]) ).
cnf(c11,negated_conjecture,
~ big_f(skolem0002(X8),skolem0002(X8)),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c7,negated_conjecture,
( ~ big_h(X6)
| big_f(X6,X6) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c9,negated_conjecture,
( ~ big_g(X7)
| big_h(skolem0002(X7)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c6,negated_conjecture,
( big_g(skolem0001(X9))
| big_f(X9,X9) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c13,plain,
big_g(skolem0001(skolem0002(X11))),
inference(resolution,[status(thm)],[c6,c11]) ).
cnf(c15,plain,
big_h(skolem0002(skolem0001(skolem0002(X12)))),
inference(resolution,[status(thm)],[c13,c9]) ).
cnf(c16,plain,
big_f(skolem0002(skolem0001(skolem0002(X19))),skolem0002(skolem0001(skolem0002(X19)))),
inference(resolution,[status(thm)],[c15,c7]) ).
cnf(c21,plain,
$false,
inference(resolution,[status(thm)],[c16,c11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN326+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 : n027.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 20:37:07 EDT 2024
% 0.13/0.34 % 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 : 7
% 0.20/0.52 % Processed clauses : 14
% 0.20/0.52 % Factors computed : 0
% 0.20/0.52 % Resolvents computed: 10
% 0.20/0.52 % Tautologies deleted: 0
% 0.20/0.52 % Forward subsumed : 1
% 0.20/0.52 % Backward subsumed : 2
% 0.20/0.52 % -------- CPU Time ---------
% 0.20/0.52 % User time : 0.164 s
% 0.20/0.52 % System time : 0.014 s
% 0.20/0.52 % Total time : 0.178 s
%------------------------------------------------------------------------------