%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN346+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 17:47:59 EDT 2024
% Result : Theorem 0.36s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 57 ( 21 ~; 12 |; 18 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 39 ( 4 sgn 19 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_2,conjecture,
! [X1,X2] :
? [Y1,Y2] :
! [Z1,Z2] :
( big_f(X2,Z1)
=> ( big_f(Y1,Z2)
=> ( ( big_f(Y1,Z1)
& big_f(Y2,Z1) )
| ( big_f(X2,Z2)
& big_f(Y2,Z2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_17_2) ).
fof(c0,negated_conjecture,
~ ! [X1,X2] :
? [Y1,Y2] :
! [Z1,Z2] :
( big_f(X2,Z1)
=> ( big_f(Y1,Z2)
=> ( ( big_f(Y1,Z1)
& big_f(Y2,Z1) )
| ( big_f(X2,Z2)
& big_f(Y2,Z2) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_17_2]) ).
fof(c1,negated_conjecture,
~ ! [X2] :
? [Y1,Y2] :
! [Z1,Z2] :
( big_f(X2,Z1)
=> ( big_f(Y1,Z2)
=> ( ( big_f(Y1,Z1)
& big_f(Y2,Z1) )
| ( big_f(X2,Z2)
& big_f(Y2,Z2) ) ) ) ),
inference(fof_simplification,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X2] :
! [Y1,Y2] :
? [Z1,Z2] :
( big_f(X2,Z1)
& big_f(Y1,Z2)
& ( ~ big_f(Y1,Z1)
| ~ big_f(Y2,Z1) )
& ( ~ big_f(X2,Z2)
| ~ big_f(Y2,Z2) ) ),
inference(fof_nnf,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
? [X2] :
! [Y1,Y2] :
? [Z1] :
( big_f(X2,Z1)
& ? [Z2] :
( big_f(Y1,Z2)
& ( ~ big_f(Y1,Z1)
| ~ big_f(Y2,Z1) )
& ( ~ big_f(X2,Z2)
| ~ big_f(Y2,Z2) ) ) ),
inference(shift_quantors,[status(thm)],[c2]) ).
fof(c4,negated_conjecture,
? [X2] :
! [X3,X4] :
? [X5] :
( big_f(X2,X5)
& ? [X6] :
( big_f(X3,X6)
& ( ~ big_f(X3,X5)
| ~ big_f(X4,X5) )
& ( ~ big_f(X2,X6)
| ~ big_f(X4,X6) ) ) ),
inference(variable_rename,[status(thm)],[c3]) ).
fof(c5,negated_conjecture,
! [X3,X4] :
( big_f(skolem0001,skolem0002(X3,X4))
& big_f(X3,skolem0003(X3,X4))
& ( ~ big_f(X3,skolem0002(X3,X4))
| ~ big_f(X4,skolem0002(X3,X4)) )
& ( ~ big_f(skolem0001,skolem0003(X3,X4))
| ~ big_f(X4,skolem0003(X3,X4)) ) ),
inference(skolemize,[status(esa)],[c4]) ).
cnf(c6,negated_conjecture,
big_f(skolem0001,skolem0002(X9,X10)),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c8,negated_conjecture,
( ~ big_f(X11,skolem0002(X11,X12))
| ~ big_f(X12,skolem0002(X11,X12)) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c10,plain,
~ big_f(X13,skolem0002(X13,X13)),
inference(factor,[status(thm)],[c8]) ).
cnf(c12,plain,
$false,
inference(resolution,[status(thm)],[c10,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN346+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n006.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 20:18:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.36/0.53 % Version: 1.5
% 0.36/0.53 % SZS status Theorem
% 0.36/0.53 % SZS output start CNFRefutation
% See solution above
% 0.36/0.53
% 0.36/0.53 % Initial clauses : 4
% 0.36/0.53 % Processed clauses : 4
% 0.36/0.53 % Factors computed : 1
% 0.36/0.53 % Resolvents computed: 2
% 0.36/0.53 % Tautologies deleted: 0
% 0.36/0.53 % Forward subsumed : 0
% 0.36/0.53 % Backward subsumed : 0
% 0.36/0.53 % -------- CPU Time ---------
% 0.36/0.53 % User time : 0.157 s
% 0.36/0.53 % System time : 0.017 s
% 0.36/0.53 % Total time : 0.174 s
%------------------------------------------------------------------------------