%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN347+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 17:47:59 EDT 2024
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 123 ( 43 ~; 54 |; 20 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 14 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_3,conjecture,
! [Z1,Z2] :
? [X1,X2] :
! [Y] :
( ( ( big_f(X1,Y)
<=> big_f(X2,Y) )
<=> big_f(Z1,Z2) )
| ( big_f(Z1,Y)
<=> big_f(Z2,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_17_3) ).
fof(c0,negated_conjecture,
~ ! [Z1,Z2] :
? [X1,X2] :
! [Y] :
( ( ( big_f(X1,Y)
<=> big_f(X2,Y) )
<=> big_f(Z1,Z2) )
| ( big_f(Z1,Y)
<=> big_f(Z2,Y) ) ),
inference(assume_negation,[status(cth)],[church_46_17_3]) ).
fof(c1,negated_conjecture,
? [Z1,Z2] :
! [X1,X2] :
? [Y] :
( ( ( ( ~ big_f(X1,Y)
| ~ big_f(X2,Y) )
& ( big_f(X1,Y)
| big_f(X2,Y) ) )
| ~ big_f(Z1,Z2) )
& ( ( ( ~ big_f(X1,Y)
| big_f(X2,Y) )
& ( ~ big_f(X2,Y)
| big_f(X1,Y) ) )
| big_f(Z1,Z2) )
& ( ~ big_f(Z1,Y)
| ~ big_f(Z2,Y) )
& ( big_f(Z1,Y)
| big_f(Z2,Y) ) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X2,X3] :
! [X4,X5] :
? [X6] :
( ( ( ( ~ big_f(X4,X6)
| ~ big_f(X5,X6) )
& ( big_f(X4,X6)
| big_f(X5,X6) ) )
| ~ big_f(X2,X3) )
& ( ( ( ~ big_f(X4,X6)
| big_f(X5,X6) )
& ( ~ big_f(X5,X6)
| big_f(X4,X6) ) )
| big_f(X2,X3) )
& ( ~ big_f(X2,X6)
| ~ big_f(X3,X6) )
& ( big_f(X2,X6)
| big_f(X3,X6) ) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
! [X4,X5] :
( ( ( ( ~ big_f(X4,skolem0003(X4,X5))
| ~ big_f(X5,skolem0003(X4,X5)) )
& ( big_f(X4,skolem0003(X4,X5))
| big_f(X5,skolem0003(X4,X5)) ) )
| ~ big_f(skolem0001,skolem0002) )
& ( ( ( ~ big_f(X4,skolem0003(X4,X5))
| big_f(X5,skolem0003(X4,X5)) )
& ( ~ big_f(X5,skolem0003(X4,X5))
| big_f(X4,skolem0003(X4,X5)) ) )
| big_f(skolem0001,skolem0002) )
& ( ~ big_f(skolem0001,skolem0003(X4,X5))
| ~ big_f(skolem0002,skolem0003(X4,X5)) )
& ( big_f(skolem0001,skolem0003(X4,X5))
| big_f(skolem0002,skolem0003(X4,X5)) ) ),
inference(skolemize,[status(esa)],[c2]) ).
fof(c4,negated_conjecture,
! [X4,X5] :
( ( ~ big_f(X4,skolem0003(X4,X5))
| ~ big_f(X5,skolem0003(X4,X5))
| ~ big_f(skolem0001,skolem0002) )
& ( big_f(X4,skolem0003(X4,X5))
| big_f(X5,skolem0003(X4,X5))
| ~ big_f(skolem0001,skolem0002) )
& ( ~ big_f(X4,skolem0003(X4,X5))
| big_f(X5,skolem0003(X4,X5))
| big_f(skolem0001,skolem0002) )
& ( ~ big_f(X5,skolem0003(X4,X5))
| big_f(X4,skolem0003(X4,X5))
| big_f(skolem0001,skolem0002) )
& ( ~ big_f(skolem0001,skolem0003(X4,X5))
| ~ big_f(skolem0002,skolem0003(X4,X5)) )
& ( big_f(skolem0001,skolem0003(X4,X5))
| big_f(skolem0002,skolem0003(X4,X5)) ) ),
inference(distribute,[status(thm)],[c3]) ).
cnf(c9,negated_conjecture,
( ~ big_f(skolem0001,skolem0003(X8,X7))
| ~ big_f(skolem0002,skolem0003(X8,X7)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c10,negated_conjecture,
( big_f(skolem0001,skolem0003(X10,X9))
| big_f(skolem0002,skolem0003(X10,X9)) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c5,negated_conjecture,
( ~ big_f(X14,skolem0003(X14,X13))
| ~ big_f(X13,skolem0003(X14,X13))
| ~ big_f(skolem0001,skolem0002) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c12,plain,
( ~ big_f(X15,skolem0003(X15,X15))
| ~ big_f(skolem0001,skolem0002) ),
inference(factor,[status(thm)],[c5]) ).
cnf(c15,plain,
( ~ big_f(skolem0001,skolem0002)
| big_f(skolem0002,skolem0003(skolem0001,skolem0001)) ),
inference(resolution,[status(thm)],[c12,c10]) ).
cnf(c7,negated_conjecture,
( ~ big_f(X19,skolem0003(X19,X18))
| big_f(X18,skolem0003(X19,X18))
| big_f(skolem0001,skolem0002) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c17,plain,
( big_f(X24,skolem0003(skolem0001,X24))
| big_f(skolem0001,skolem0002)
| big_f(skolem0002,skolem0003(skolem0001,X24)) ),
inference(resolution,[status(thm)],[c7,c10]) ).
cnf(c25,plain,
( big_f(skolem0002,skolem0003(skolem0001,skolem0002))
| big_f(skolem0001,skolem0002) ),
inference(factor,[status(thm)],[c17]) ).
cnf(c38,plain,
( big_f(skolem0001,skolem0002)
| ~ big_f(skolem0001,skolem0003(skolem0001,skolem0002)) ),
inference(resolution,[status(thm)],[c25,c9]) ).
cnf(c8,negated_conjecture,
( ~ big_f(X20,skolem0003(X21,X20))
| big_f(X21,skolem0003(X21,X20))
| big_f(skolem0001,skolem0002) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c39,plain,
( big_f(skolem0001,skolem0002)
| big_f(skolem0001,skolem0003(skolem0001,skolem0002)) ),
inference(resolution,[status(thm)],[c25,c8]) ).
cnf(c61,plain,
big_f(skolem0001,skolem0002),
inference(resolution,[status(thm)],[c39,c38]) ).
cnf(c64,plain,
big_f(skolem0002,skolem0003(skolem0001,skolem0001)),
inference(resolution,[status(thm)],[c61,c15]) ).
cnf(c66,plain,
~ big_f(skolem0001,skolem0003(skolem0001,skolem0001)),
inference(resolution,[status(thm)],[c64,c9]) ).
cnf(c6,negated_conjecture,
( big_f(X17,skolem0003(X17,X16))
| big_f(X16,skolem0003(X17,X16))
| ~ big_f(skolem0001,skolem0002) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c65,plain,
( big_f(X27,skolem0003(X27,X28))
| big_f(X28,skolem0003(X27,X28)) ),
inference(resolution,[status(thm)],[c61,c6]) ).
cnf(c68,plain,
big_f(X29,skolem0003(X29,X29)),
inference(factor,[status(thm)],[c65]) ).
cnf(c86,plain,
$false,
inference(resolution,[status(thm)],[c68,c66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN347+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 : 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 20:07:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % Version: 1.5
% 0.19/0.54 % SZS status Theorem
% 0.19/0.54 % SZS output start CNFRefutation
% See solution above
% 0.19/0.54
% 0.19/0.54 % Initial clauses : 6
% 0.19/0.54 % Processed clauses : 22
% 0.19/0.54 % Factors computed : 4
% 0.19/0.54 % Resolvents computed: 72
% 0.19/0.54 % Tautologies deleted: 1
% 0.19/0.54 % Forward subsumed : 4
% 0.19/0.54 % Backward subsumed : 10
% 0.19/0.54 % -------- CPU Time ---------
% 0.19/0.54 % User time : 0.182 s
% 0.19/0.54 % System time : 0.015 s
% 0.19/0.54 % Total time : 0.197 s
%------------------------------------------------------------------------------