%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN345+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 0.22s 0.56s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 140 ( 45 ~; 49 |; 26 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 43 ( 15 sgn 14 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_16_4,conjecture,
! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( ( ( big_f(X1,X2,Y1)
=> big_f(Y2,Y1,Z) )
=> ( big_f(X1,X1,X2)
=> big_f(X1,X2,X2) ) )
=> ( ( ( big_f(X2,Y1,Y2)
=> big_f(Y1,Z,Z) )
=> ( big_f(X1,X2,X2)
=> big_f(X1,X1,X2) ) )
=> ( big_f(Y1,Y2,Z)
=> ( big_f(X2,X2,Y1)
& ( big_f(X1,X1,X2)
<=> big_f(X1,X2,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_16_4) ).
fof(c0,negated_conjecture,
~ ! [X1,X2] :
? [Y1,Y2] :
! [Z] :
( ( ( big_f(X1,X2,Y1)
=> big_f(Y2,Y1,Z) )
=> ( big_f(X1,X1,X2)
=> big_f(X1,X2,X2) ) )
=> ( ( ( big_f(X2,Y1,Y2)
=> big_f(Y1,Z,Z) )
=> ( big_f(X1,X2,X2)
=> big_f(X1,X1,X2) ) )
=> ( big_f(Y1,Y2,Z)
=> ( big_f(X2,X2,Y1)
& ( big_f(X1,X1,X2)
<=> big_f(X1,X2,X2) ) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_16_4]) ).
fof(c1,negated_conjecture,
? [X1,X2] :
! [Y1,Y2] :
? [Z] :
( ( ( big_f(X1,X2,Y1)
& ~ big_f(Y2,Y1,Z) )
| ~ big_f(X1,X1,X2)
| big_f(X1,X2,X2) )
& ( ( big_f(X2,Y1,Y2)
& ~ big_f(Y1,Z,Z) )
| ~ big_f(X1,X2,X2)
| big_f(X1,X1,X2) )
& big_f(Y1,Y2,Z)
& ( ~ big_f(X2,X2,Y1)
| ( ( ~ big_f(X1,X1,X2)
| ~ big_f(X1,X2,X2) )
& ( big_f(X1,X1,X2)
| big_f(X1,X2,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X2,X3] :
! [X4,X5] :
? [X6] :
( ( ( big_f(X2,X3,X4)
& ~ big_f(X5,X4,X6) )
| ~ big_f(X2,X2,X3)
| big_f(X2,X3,X3) )
& ( ( big_f(X3,X4,X5)
& ~ big_f(X4,X6,X6) )
| ~ big_f(X2,X3,X3)
| big_f(X2,X2,X3) )
& big_f(X4,X5,X6)
& ( ~ big_f(X3,X3,X4)
| ( ( ~ big_f(X2,X2,X3)
| ~ big_f(X2,X3,X3) )
& ( big_f(X2,X2,X3)
| big_f(X2,X3,X3) ) ) ) ),
inference(variable_rename,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
! [X4,X5] :
( ( ( big_f(skolem0001,skolem0002,X4)
& ~ big_f(X5,X4,skolem0003(X4,X5)) )
| ~ big_f(skolem0001,skolem0001,skolem0002)
| big_f(skolem0001,skolem0002,skolem0002) )
& ( ( big_f(skolem0002,X4,X5)
& ~ big_f(X4,skolem0003(X4,X5),skolem0003(X4,X5)) )
| ~ big_f(skolem0001,skolem0002,skolem0002)
| big_f(skolem0001,skolem0001,skolem0002) )
& big_f(X4,X5,skolem0003(X4,X5))
& ( ~ big_f(skolem0002,skolem0002,X4)
| ( ( ~ big_f(skolem0001,skolem0001,skolem0002)
| ~ big_f(skolem0001,skolem0002,skolem0002) )
& ( big_f(skolem0001,skolem0001,skolem0002)
| big_f(skolem0001,skolem0002,skolem0002) ) ) ) ),
inference(skolemize,[status(esa)],[c2]) ).
fof(c4,negated_conjecture,
! [X4,X5] :
( ( big_f(skolem0001,skolem0002,X4)
| ~ big_f(skolem0001,skolem0001,skolem0002)
| big_f(skolem0001,skolem0002,skolem0002) )
& ( ~ big_f(X5,X4,skolem0003(X4,X5))
| ~ big_f(skolem0001,skolem0001,skolem0002)
| big_f(skolem0001,skolem0002,skolem0002) )
& ( big_f(skolem0002,X4,X5)
| ~ big_f(skolem0001,skolem0002,skolem0002)
| big_f(skolem0001,skolem0001,skolem0002) )
& ( ~ big_f(X4,skolem0003(X4,X5),skolem0003(X4,X5))
| ~ big_f(skolem0001,skolem0002,skolem0002)
| big_f(skolem0001,skolem0001,skolem0002) )
& big_f(X4,X5,skolem0003(X4,X5))
& ( ~ big_f(skolem0002,skolem0002,X4)
| ~ big_f(skolem0001,skolem0001,skolem0002)
| ~ big_f(skolem0001,skolem0002,skolem0002) )
& ( ~ big_f(skolem0002,skolem0002,X4)
| big_f(skolem0001,skolem0001,skolem0002)
| big_f(skolem0001,skolem0002,skolem0002) ) ),
inference(distribute,[status(thm)],[c3]) ).
cnf(c9,negated_conjecture,
big_f(X8,X7,skolem0003(X8,X7)),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c7,negated_conjecture,
( big_f(skolem0002,X10,X9)
| ~ big_f(skolem0001,skolem0002,skolem0002)
| big_f(skolem0001,skolem0001,skolem0002) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c11,negated_conjecture,
( ~ big_f(skolem0002,skolem0002,X13)
| big_f(skolem0001,skolem0001,skolem0002)
| big_f(skolem0001,skolem0002,skolem0002) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c12,plain,
( big_f(skolem0001,skolem0001,skolem0002)
| big_f(skolem0001,skolem0002,skolem0002) ),
inference(resolution,[status(thm)],[c11,c9]) ).
cnf(c16,plain,
( big_f(skolem0001,skolem0001,skolem0002)
| big_f(skolem0002,X17,X16) ),
inference(resolution,[status(thm)],[c12,c7]) ).
cnf(c10,negated_conjecture,
( ~ big_f(skolem0002,skolem0002,X12)
| ~ big_f(skolem0001,skolem0001,skolem0002)
| ~ big_f(skolem0001,skolem0002,skolem0002) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c5,negated_conjecture,
( big_f(skolem0001,skolem0002,X11)
| ~ big_f(skolem0001,skolem0001,skolem0002)
| big_f(skolem0001,skolem0002,skolem0002) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c14,plain,
( big_f(skolem0001,skolem0002,skolem0002)
| big_f(skolem0001,skolem0002,X18) ),
inference(resolution,[status(thm)],[c12,c5]) ).
cnf(c19,plain,
big_f(skolem0001,skolem0002,skolem0002),
inference(factor,[status(thm)],[c14]) ).
cnf(c23,plain,
( ~ big_f(skolem0002,skolem0002,X19)
| ~ big_f(skolem0001,skolem0001,skolem0002) ),
inference(resolution,[status(thm)],[c19,c10]) ).
cnf(c24,plain,
( ~ big_f(skolem0002,skolem0002,X24)
| big_f(skolem0002,X22,X23) ),
inference(resolution,[status(thm)],[c23,c16]) ).
cnf(c26,plain,
big_f(skolem0002,X26,X25),
inference(resolution,[status(thm)],[c24,c9]) ).
cnf(c8,negated_conjecture,
( ~ big_f(X21,skolem0003(X21,X20),skolem0003(X21,X20))
| ~ big_f(skolem0001,skolem0002,skolem0002)
| big_f(skolem0001,skolem0001,skolem0002) ),
inference(split_conjunct,[status(thm)],[c4]) ).
cnf(c25,plain,
( ~ big_f(skolem0001,skolem0002,skolem0002)
| big_f(skolem0001,skolem0001,skolem0002) ),
inference(resolution,[status(thm)],[c8,c16]) ).
cnf(c29,plain,
big_f(skolem0001,skolem0001,skolem0002),
inference(resolution,[status(thm)],[c25,c19]) ).
cnf(c30,plain,
~ big_f(skolem0002,skolem0002,X30),
inference(resolution,[status(thm)],[c29,c23]) ).
cnf(c31,plain,
$false,
inference(resolution,[status(thm)],[c30,c26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN345+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 20:01:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.22/0.56 % Version: 1.5
% 0.22/0.56 % SZS status Theorem
% 0.22/0.56 % SZS output start CNFRefutation
% See solution above
% 0.22/0.56
% 0.22/0.56 % Initial clauses : 7
% 0.22/0.56 % Processed clauses : 17
% 0.22/0.56 % Factors computed : 1
% 0.22/0.56 % Resolvents computed: 20
% 0.22/0.56 % Tautologies deleted: 1
% 0.22/0.56 % Forward subsumed : 3
% 0.22/0.56 % Backward subsumed : 12
% 0.22/0.56 % -------- CPU Time ---------
% 0.22/0.56 % User time : 0.171 s
% 0.22/0.56 % System time : 0.020 s
% 0.22/0.56 % Total time : 0.192 s
%------------------------------------------------------------------------------