TSTP Solution File: SYN353+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 17:48:01 EDT 2024
% Result : Theorem 6.11s 6.32s
% Output : Refutation 6.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 1
% Syntax : Number of formulae : 69 ( 12 unt; 0 def)
% Number of atoms : 358 ( 0 equ)
% Maximal formula atoms : 47 ( 5 avg)
% Number of connectives : 413 ( 124 ~; 171 |; 76 &)
% ( 12 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 162 ( 9 sgn 18 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_18_5,conjecture,
! [X] :
? [Y1,Y2,Y3] :
! [Z] :
( ( big_f(Y1,Y2,Y3)
=> ( big_f(X,X,Z)
=> ( big_f(Y2,Y3,Y1)
| big_f(Y3,Y1,Y2) ) ) )
=> ( ( ( big_f(Y3,Y1,Y2)
=> ( big_f(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1) ) )
<=> big_f(Y2,Y1,Z) )
=> ( ( ( big_f(Y2,Y3,Y1)
=> ( big_f(Y1,Y2,Y3)
& big_f(Y3,Y1,Y2) ) )
<=> big_f(Y1,Z,Y2) )
=> ( ( ( ( big_f(Y3,Y1,Y2)
=> ~ big_f(Y2,Y3,Y1) )
=> big_f(Y1,Y2,Y3) )
<=> big_f(Z,Y2,Y1) )
=> ( ( big_f(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) )
<=> big_f(Z,Z,Z) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_18_5) ).
fof(c0,negated_conjecture,
~ ! [X] :
? [Y1,Y2,Y3] :
! [Z] :
( ( big_f(Y1,Y2,Y3)
=> ( big_f(X,X,Z)
=> ( big_f(Y2,Y3,Y1)
| big_f(Y3,Y1,Y2) ) ) )
=> ( ( ( big_f(Y3,Y1,Y2)
=> ( big_f(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1) ) )
<=> big_f(Y2,Y1,Z) )
=> ( ( ( big_f(Y2,Y3,Y1)
=> ( big_f(Y1,Y2,Y3)
& big_f(Y3,Y1,Y2) ) )
<=> big_f(Y1,Z,Y2) )
=> ( ( ( ( big_f(Y3,Y1,Y2)
=> ~ big_f(Y2,Y3,Y1) )
=> big_f(Y1,Y2,Y3) )
<=> big_f(Z,Y2,Y1) )
=> ( ( big_f(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) )
<=> big_f(Z,Z,Z) ) ) ) ) ),
inference(assume_negation,[status(cth)],[church_46_18_5]) ).
fof(c1,negated_conjecture,
~ ! [X] :
? [Y1,Y2,Y3] :
! [Z] :
( ( big_f(Y1,Y2,Y3)
=> ( big_f(X,X,Z)
=> ( big_f(Y2,Y3,Y1)
| big_f(Y3,Y1,Y2) ) ) )
=> ( ( ( big_f(Y3,Y1,Y2)
=> ( big_f(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1) ) )
<=> big_f(Y2,Y1,Z) )
=> ( ( ( big_f(Y2,Y3,Y1)
=> ( big_f(Y1,Y2,Y3)
& big_f(Y3,Y1,Y2) ) )
<=> big_f(Y1,Z,Y2) )
=> ( ( ( ( big_f(Y3,Y1,Y2)
=> ~ big_f(Y2,Y3,Y1) )
=> big_f(Y1,Y2,Y3) )
<=> big_f(Z,Y2,Y1) )
=> ( ( big_f(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) )
<=> big_f(Z,Z,Z) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c0]) ).
fof(c2,negated_conjecture,
? [X] :
! [Y1,Y2,Y3] :
? [Z] :
( ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(X,X,Z)
| big_f(Y2,Y3,Y1)
| big_f(Y3,Y1,Y2) )
& ( ( big_f(Y3,Y1,Y2)
& ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(Y2,Y3,Y1) ) )
| big_f(Y2,Y1,Z) )
& ( ~ big_f(Y2,Y1,Z)
| ~ big_f(Y3,Y1,Y2)
| ( big_f(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1) ) )
& ( ( big_f(Y2,Y3,Y1)
& ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(Y3,Y1,Y2) ) )
| big_f(Y1,Z,Y2) )
& ( ~ big_f(Y1,Z,Y2)
| ~ big_f(Y2,Y3,Y1)
| ( big_f(Y1,Y2,Y3)
& big_f(Y3,Y1,Y2) ) )
& ( ( ( ~ big_f(Y3,Y1,Y2)
| ~ big_f(Y2,Y3,Y1) )
& ~ big_f(Y1,Y2,Y3) )
| big_f(Z,Y2,Y1) )
& ( ~ big_f(Z,Y2,Y1)
| ( big_f(Y3,Y1,Y2)
& big_f(Y2,Y3,Y1) )
| big_f(Y1,Y2,Y3) )
& ( ~ big_f(Y1,Y2,Y3)
| ~ big_f(Y2,Y3,Y1)
| ~ big_f(Y3,Y1,Y2)
| ~ big_f(Z,Z,Z) )
& ( ( big_f(Y1,Y2,Y3)
& big_f(Y2,Y3,Y1)
& big_f(Y3,Y1,Y2) )
| big_f(Z,Z,Z) ) ),
inference(fof_nnf,[status(thm)],[c1]) ).
fof(c3,negated_conjecture,
? [X2] :
! [X3,X4,X5] :
? [X6] :
( ( ~ big_f(X3,X4,X5)
| ~ big_f(X2,X2,X6)
| big_f(X4,X5,X3)
| big_f(X5,X3,X4) )
& ( ( big_f(X5,X3,X4)
& ( ~ big_f(X3,X4,X5)
| ~ big_f(X4,X5,X3) ) )
| big_f(X4,X3,X6) )
& ( ~ big_f(X4,X3,X6)
| ~ big_f(X5,X3,X4)
| ( big_f(X3,X4,X5)
& big_f(X4,X5,X3) ) )
& ( ( big_f(X4,X5,X3)
& ( ~ big_f(X3,X4,X5)
| ~ big_f(X5,X3,X4) ) )
| big_f(X3,X6,X4) )
& ( ~ big_f(X3,X6,X4)
| ~ big_f(X4,X5,X3)
| ( big_f(X3,X4,X5)
& big_f(X5,X3,X4) ) )
& ( ( ( ~ big_f(X5,X3,X4)
| ~ big_f(X4,X5,X3) )
& ~ big_f(X3,X4,X5) )
| big_f(X6,X4,X3) )
& ( ~ big_f(X6,X4,X3)
| ( big_f(X5,X3,X4)
& big_f(X4,X5,X3) )
| big_f(X3,X4,X5) )
& ( ~ big_f(X3,X4,X5)
| ~ big_f(X4,X5,X3)
| ~ big_f(X5,X3,X4)
| ~ big_f(X6,X6,X6) )
& ( ( big_f(X3,X4,X5)
& big_f(X4,X5,X3)
& big_f(X5,X3,X4) )
| big_f(X6,X6,X6) ) ),
inference(variable_rename,[status(thm)],[c2]) ).
fof(c4,negated_conjecture,
! [X3,X4,X5] :
( ( ~ big_f(X3,X4,X5)
| ~ big_f(skolem0001,skolem0001,skolem0002(X3,X4,X5))
| big_f(X4,X5,X3)
| big_f(X5,X3,X4) )
& ( ( big_f(X5,X3,X4)
& ( ~ big_f(X3,X4,X5)
| ~ big_f(X4,X5,X3) ) )
| big_f(X4,X3,skolem0002(X3,X4,X5)) )
& ( ~ big_f(X4,X3,skolem0002(X3,X4,X5))
| ~ big_f(X5,X3,X4)
| ( big_f(X3,X4,X5)
& big_f(X4,X5,X3) ) )
& ( ( big_f(X4,X5,X3)
& ( ~ big_f(X3,X4,X5)
| ~ big_f(X5,X3,X4) ) )
| big_f(X3,skolem0002(X3,X4,X5),X4) )
& ( ~ big_f(X3,skolem0002(X3,X4,X5),X4)
| ~ big_f(X4,X5,X3)
| ( big_f(X3,X4,X5)
& big_f(X5,X3,X4) ) )
& ( ( ( ~ big_f(X5,X3,X4)
| ~ big_f(X4,X5,X3) )
& ~ big_f(X3,X4,X5) )
| big_f(skolem0002(X3,X4,X5),X4,X3) )
& ( ~ big_f(skolem0002(X3,X4,X5),X4,X3)
| ( big_f(X5,X3,X4)
& big_f(X4,X5,X3) )
| big_f(X3,X4,X5) )
& ( ~ big_f(X3,X4,X5)
| ~ big_f(X4,X5,X3)
| ~ big_f(X5,X3,X4)
| ~ big_f(skolem0002(X3,X4,X5),skolem0002(X3,X4,X5),skolem0002(X3,X4,X5)) )
& ( ( big_f(X3,X4,X5)
& big_f(X4,X5,X3)
& big_f(X5,X3,X4) )
| big_f(skolem0002(X3,X4,X5),skolem0002(X3,X4,X5),skolem0002(X3,X4,X5)) ) ),
inference(skolemize,[status(esa)],[c3]) ).
fof(c5,negated_conjecture,
! [X3,X4,X5] :
( ( ~ big_f(X3,X4,X5)
| ~ big_f(skolem0001,skolem0001,skolem0002(X3,X4,X5))
| big_f(X4,X5,X3)
| big_f(X5,X3,X4) )
& ( big_f(X5,X3,X4)
| big_f(X4,X3,skolem0002(X3,X4,X5)) )
& ( ~ big_f(X3,X4,X5)
| ~ big_f(X4,X5,X3)
| big_f(X4,X3,skolem0002(X3,X4,X5)) )
& ( ~ big_f(X4,X3,skolem0002(X3,X4,X5))
| ~ big_f(X5,X3,X4)
| big_f(X3,X4,X5) )
& ( ~ big_f(X4,X3,skolem0002(X3,X4,X5))
| ~ big_f(X5,X3,X4)
| big_f(X4,X5,X3) )
& ( big_f(X4,X5,X3)
| big_f(X3,skolem0002(X3,X4,X5),X4) )
& ( ~ big_f(X3,X4,X5)
| ~ big_f(X5,X3,X4)
| big_f(X3,skolem0002(X3,X4,X5),X4) )
& ( ~ big_f(X3,skolem0002(X3,X4,X5),X4)
| ~ big_f(X4,X5,X3)
| big_f(X3,X4,X5) )
& ( ~ big_f(X3,skolem0002(X3,X4,X5),X4)
| ~ big_f(X4,X5,X3)
| big_f(X5,X3,X4) )
& ( ~ big_f(X5,X3,X4)
| ~ big_f(X4,X5,X3)
| big_f(skolem0002(X3,X4,X5),X4,X3) )
& ( ~ big_f(X3,X4,X5)
| big_f(skolem0002(X3,X4,X5),X4,X3) )
& ( ~ big_f(skolem0002(X3,X4,X5),X4,X3)
| big_f(X5,X3,X4)
| big_f(X3,X4,X5) )
& ( ~ big_f(skolem0002(X3,X4,X5),X4,X3)
| big_f(X4,X5,X3)
| big_f(X3,X4,X5) )
& ( ~ big_f(X3,X4,X5)
| ~ big_f(X4,X5,X3)
| ~ big_f(X5,X3,X4)
| ~ big_f(skolem0002(X3,X4,X5),skolem0002(X3,X4,X5),skolem0002(X3,X4,X5)) )
& ( big_f(X3,X4,X5)
| big_f(skolem0002(X3,X4,X5),skolem0002(X3,X4,X5),skolem0002(X3,X4,X5)) )
& ( big_f(X4,X5,X3)
| big_f(skolem0002(X3,X4,X5),skolem0002(X3,X4,X5),skolem0002(X3,X4,X5)) )
& ( big_f(X5,X3,X4)
| big_f(skolem0002(X3,X4,X5),skolem0002(X3,X4,X5),skolem0002(X3,X4,X5)) ) ),
inference(distribute,[status(thm)],[c4]) ).
cnf(c14,negated_conjecture,
( ~ big_f(X65,skolem0002(X65,X64,X63),X64)
| ~ big_f(X64,X63,X65)
| big_f(X63,X65,X64) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c7,negated_conjecture,
( big_f(X7,X9,X8)
| big_f(X8,X9,skolem0002(X9,X8,X7)) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c11,negated_conjecture,
( big_f(X11,X10,X12)
| big_f(X12,skolem0002(X12,X11,X10),X11) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c15,negated_conjecture,
( ~ big_f(X67,X69,X68)
| ~ big_f(X68,X67,X69)
| big_f(skolem0002(X69,X68,X67),X68,X69) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c111,plain,
( ~ big_f(X176,X174,X175)
| big_f(skolem0002(X174,X175,X176),X175,X174)
| big_f(X174,skolem0002(X174,X175,X176),X175) ),
inference(resolution,[status(thm)],[c15,c11]) ).
cnf(c444,plain,
( big_f(skolem0002(X464,X466,X465),X466,X464)
| big_f(X464,skolem0002(X464,X466,X465),X466)
| big_f(X466,X464,skolem0002(X464,X466,X465)) ),
inference(resolution,[status(thm)],[c111,c7]) ).
cnf(c6,negated_conjecture,
( ~ big_f(X24,X23,X22)
| ~ big_f(skolem0001,skolem0001,skolem0002(X24,X23,X22))
| big_f(X23,X22,X24)
| big_f(X22,X24,X23) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c9,negated_conjecture,
( ~ big_f(X35,X36,skolem0002(X36,X35,X34))
| ~ big_f(X34,X36,X35)
| big_f(X36,X35,X34) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c10,negated_conjecture,
( ~ big_f(X43,X44,skolem0002(X44,X43,X42))
| ~ big_f(X42,X44,X43)
| big_f(X43,X42,X44) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c18,negated_conjecture,
( ~ big_f(skolem0002(X81,X80,X79),X80,X81)
| big_f(X80,X79,X81)
| big_f(X81,X80,X79) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c34,plain,
( ~ big_f(skolem0001,skolem0001,X117)
| big_f(skolem0001,X117,skolem0001)
| big_f(X117,skolem0001,skolem0001) ),
inference(resolution,[status(thm)],[c6,c7]) ).
cnf(c3905,plain,
( big_f(skolem0002(skolem0001,skolem0001,X467),skolem0001,skolem0001)
| big_f(skolem0001,skolem0002(skolem0001,skolem0001,X467),skolem0001) ),
inference(resolution,[status(thm)],[c444,c34]) ).
cnf(c13,negated_conjecture,
( ~ big_f(X57,skolem0002(X57,X56,X55),X56)
| ~ big_f(X56,X55,X57)
| big_f(X57,X56,X55) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c17,negated_conjecture,
( ~ big_f(skolem0002(X76,X75,X74),X75,X76)
| big_f(X74,X76,X75)
| big_f(X76,X75,X74) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c3946,plain,
( big_f(skolem0001,skolem0002(skolem0001,skolem0001,X683),skolem0001)
| big_f(X683,skolem0001,skolem0001)
| big_f(skolem0001,skolem0001,X683) ),
inference(resolution,[status(thm)],[c3905,c17]) ).
cnf(c7695,plain,
( big_f(X684,skolem0001,skolem0001)
| big_f(skolem0001,skolem0001,X684)
| ~ big_f(skolem0001,X684,skolem0001) ),
inference(resolution,[status(thm)],[c3946,c13]) ).
cnf(c7845,plain,
( big_f(skolem0002(skolem0001,skolem0001,X698),skolem0001,skolem0001)
| big_f(skolem0001,skolem0001,skolem0002(skolem0001,skolem0001,X698)) ),
inference(resolution,[status(thm)],[c7695,c3905]) ).
cnf(c8325,plain,
( big_f(skolem0001,skolem0001,skolem0002(skolem0001,skolem0001,X850))
| big_f(skolem0001,X850,skolem0001)
| big_f(skolem0001,skolem0001,X850) ),
inference(resolution,[status(thm)],[c7845,c18]) ).
cnf(c11452,plain,
( big_f(skolem0001,X851,skolem0001)
| big_f(skolem0001,skolem0001,X851)
| ~ big_f(X851,skolem0001,skolem0001) ),
inference(resolution,[status(thm)],[c8325,c10]) ).
cnf(c11597,plain,
( big_f(skolem0001,skolem0002(skolem0001,skolem0001,X856),skolem0001)
| big_f(skolem0001,skolem0001,skolem0002(skolem0001,skolem0001,X856)) ),
inference(resolution,[status(thm)],[c11452,c444]) ).
cnf(c7833,plain,
( big_f(X692,skolem0001,skolem0001)
| big_f(skolem0001,skolem0001,X692)
| big_f(skolem0001,X692,skolem0002(X692,skolem0001,skolem0001)) ),
inference(resolution,[status(thm)],[c7695,c7]) ).
cnf(c99,plain,
( ~ big_f(X171,X173,X172)
| big_f(X173,X172,X171)
| big_f(X171,skolem0002(X171,X172,skolem0002(X172,X171,X173)),X172) ),
inference(resolution,[status(thm)],[c14,c11]) ).
cnf(c414,plain,
( big_f(X455,X457,X456)
| big_f(X456,skolem0002(X456,X457,skolem0002(X457,X456,X455)),X457)
| big_f(X457,X455,skolem0002(X455,X457,X456)) ),
inference(resolution,[status(thm)],[c99,c7]) ).
cnf(c8,negated_conjecture,
( ~ big_f(X30,X29,X28)
| ~ big_f(X29,X28,X30)
| big_f(X29,X30,skolem0002(X30,X29,X28)) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c93,plain,
( ~ big_f(X168,X169,X170)
| big_f(X170,X168,X169)
| big_f(X168,skolem0002(X168,X170,skolem0002(X170,X168,X169)),X170) ),
inference(resolution,[status(thm)],[c13,c11]) ).
cnf(c384,plain,
( big_f(X447,X446,X445)
| big_f(X446,skolem0002(X446,X447,skolem0002(X447,X446,X445)),X447)
| big_f(X447,X445,skolem0002(X445,X447,X446)) ),
inference(resolution,[status(thm)],[c93,c7]) ).
cnf(c3580,plain,
( big_f(X666,skolem0002(X666,X665,skolem0002(X665,X666,X667)),X665)
| big_f(X665,X667,skolem0002(X667,X665,X666))
| ~ big_f(X667,X665,X666) ),
inference(resolution,[status(thm)],[c384,c8]) ).
cnf(c7382,plain,
( big_f(X670,skolem0002(X670,X669,skolem0002(X669,X670,X668)),X669)
| big_f(X669,X668,skolem0002(X668,X669,X670)) ),
inference(resolution,[status(thm)],[c3580,c414]) ).
cnf(c7390,plain,
( big_f(X816,X815,skolem0002(X815,X816,X814))
| ~ big_f(X816,skolem0002(X816,X814,X815),X814)
| big_f(X814,X816,skolem0002(X816,X814,X815)) ),
inference(resolution,[status(thm)],[c7382,c13]) ).
cnf(c11706,plain,
( big_f(skolem0001,skolem0001,skolem0002(skolem0001,skolem0001,X857))
| big_f(skolem0001,X857,skolem0002(X857,skolem0001,skolem0001)) ),
inference(resolution,[status(thm)],[c11597,c7390]) ).
cnf(c11812,plain,
( big_f(skolem0001,X874,skolem0002(X874,skolem0001,skolem0001))
| ~ big_f(X874,skolem0001,skolem0001)
| big_f(skolem0001,skolem0001,X874) ),
inference(resolution,[status(thm)],[c11706,c9]) ).
cnf(c12314,plain,
( big_f(skolem0001,X878,skolem0002(X878,skolem0001,skolem0001))
| big_f(skolem0001,skolem0001,X878) ),
inference(resolution,[status(thm)],[c11812,c7833]) ).
cnf(c12374,plain,
( big_f(skolem0001,skolem0001,X879)
| ~ big_f(skolem0001,X879,skolem0001) ),
inference(resolution,[status(thm)],[c12314,c10]) ).
cnf(c12507,plain,
big_f(skolem0001,skolem0001,skolem0002(skolem0001,skolem0001,X880)),
inference(resolution,[status(thm)],[c12374,c11597]) ).
cnf(c12578,plain,
( ~ big_f(X887,skolem0001,skolem0001)
| big_f(skolem0001,skolem0001,X887) ),
inference(resolution,[status(thm)],[c12507,c9]) ).
cnf(c12552,plain,
( ~ big_f(X881,skolem0001,skolem0001)
| big_f(skolem0001,X881,skolem0001) ),
inference(resolution,[status(thm)],[c12507,c10]) ).
cnf(c12639,plain,
big_f(skolem0001,skolem0002(skolem0001,skolem0001,X885),skolem0001),
inference(resolution,[status(thm)],[c12552,c3905]) ).
cnf(c12838,plain,
( ~ big_f(skolem0001,X888,skolem0001)
| big_f(X888,skolem0001,skolem0001) ),
inference(resolution,[status(thm)],[c12639,c14]) ).
cnf(c12954,plain,
big_f(skolem0002(skolem0001,skolem0001,X889),skolem0001,skolem0001),
inference(resolution,[status(thm)],[c12838,c12639]) ).
cnf(c13045,plain,
( big_f(X896,skolem0001,skolem0001)
| big_f(skolem0001,skolem0001,X896) ),
inference(resolution,[status(thm)],[c12954,c17]) ).
cnf(c13277,plain,
big_f(skolem0001,skolem0001,X900),
inference(resolution,[status(thm)],[c13045,c12578]) ).
cnf(c13568,plain,
( ~ big_f(X939,X938,X937)
| big_f(X938,X937,X939)
| big_f(X937,X939,X938) ),
inference(resolution,[status(thm)],[c13277,c6]) ).
cnf(c14752,plain,
( big_f(X959,skolem0002(X959,X958,X957),X958)
| big_f(skolem0002(X959,X958,X957),X958,X959) ),
inference(resolution,[status(thm)],[c13568,c444]) ).
cnf(c14802,plain,
( big_f(X1062,X1060,X1061)
| big_f(X1060,X1061,X1062)
| big_f(X1060,skolem0002(X1060,X1061,X1062),X1061) ),
inference(resolution,[status(thm)],[c13568,c11]) ).
cnf(c14696,plain,
( big_f(X952,X951,skolem0002(X951,X952,X950))
| big_f(X951,skolem0002(X951,X952,X950),X952) ),
inference(resolution,[status(thm)],[c13568,c444]) ).
cnf(c15060,plain,
( big_f(X1078,skolem0002(X1078,X1077,X1076),X1077)
| ~ big_f(X1076,X1078,X1077)
| big_f(X1078,X1077,X1076) ),
inference(resolution,[status(thm)],[c14696,c9]) ).
cnf(c17520,plain,
( big_f(X1082,skolem0002(X1082,X1083,X1084),X1083)
| big_f(X1082,X1083,X1084) ),
inference(resolution,[status(thm)],[c15060,c14802]) ).
cnf(c17720,plain,
( big_f(X1086,X1087,X1085)
| ~ big_f(X1087,X1085,X1086) ),
inference(resolution,[status(thm)],[c17520,c13]) ).
cnf(c17816,plain,
big_f(X1099,skolem0002(X1099,X1098,X1100),X1098),
inference(resolution,[status(thm)],[c17720,c14752]) ).
cnf(c18179,plain,
( ~ big_f(X1127,X1128,X1126)
| big_f(X1128,X1126,X1127) ),
inference(resolution,[status(thm)],[c17816,c14]) ).
cnf(c14743,plain,
( big_f(skolem0002(X956,X955,X954),X955,X956)
| big_f(X955,X956,skolem0002(X956,X955,X954)) ),
inference(resolution,[status(thm)],[c13568,c444]) ).
cnf(c17957,plain,
big_f(skolem0002(X1108,X1110,X1109),X1110,X1108),
inference(resolution,[status(thm)],[c17720,c14743]) ).
cnf(c18204,plain,
( big_f(X1153,X1152,X1151)
| big_f(X1152,X1151,X1153) ),
inference(resolution,[status(thm)],[c17957,c17]) ).
cnf(c18217,plain,
big_f(X1158,X1160,X1159),
inference(resolution,[status(thm)],[c18204,c18179]) ).
cnf(c19,negated_conjecture,
( ~ big_f(X95,X94,X93)
| ~ big_f(X94,X93,X95)
| ~ big_f(X93,X95,X94)
| ~ big_f(skolem0002(X95,X94,X93),skolem0002(X95,X94,X93),skolem0002(X95,X94,X93)) ),
inference(split_conjunct,[status(thm)],[c5]) ).
cnf(c38,plain,
( ~ big_f(X31,X31,X31)
| big_f(X31,X31,skolem0002(X31,X31,X31)) ),
inference(factor,[status(thm)],[c8]) ).
cnf(c51,plain,
big_f(X32,X32,skolem0002(X32,X32,X32)),
inference(resolution,[status(thm)],[c38,c7]) ).
cnf(c17809,plain,
big_f(skolem0002(X1094,X1094,X1094),X1094,X1094),
inference(resolution,[status(thm)],[c17720,c51]) ).
cnf(c18130,plain,
big_f(X1095,X1095,X1095),
inference(resolution,[status(thm)],[c17809,c17]) ).
cnf(c18157,plain,
( ~ big_f(X1227,X1226,X1228)
| ~ big_f(X1226,X1228,X1227)
| ~ big_f(X1228,X1227,X1226) ),
inference(resolution,[status(thm)],[c18130,c19]) ).
cnf(c18222,plain,
~ big_f(X1229,X1229,X1229),
inference(factor,[status(thm)],[c18157]) ).
cnf(c18225,plain,
$false,
inference(resolution,[status(thm)],[c18222,c18217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SYN353+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.10 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Wed May 8 19:50:22 EDT 2024
% 0.09/0.29 % CPUTime :
% 6.11/6.32 % Version: 1.5
% 6.11/6.32 % SZS status Theorem
% 6.11/6.32 % SZS output start CNFRefutation
% See solution above
% 6.11/6.32
% 6.11/6.32 % Initial clauses : 17
% 6.11/6.32 % Processed clauses : 245
% 6.11/6.32 % Factors computed : 49
% 6.11/6.32 % Resolvents computed: 18154
% 6.11/6.32 % Tautologies deleted: 19
% 6.11/6.32 % Forward subsumed : 392
% 6.11/6.32 % Backward subsumed : 242
% 6.11/6.32 % -------- CPU Time ---------
% 6.11/6.32 % User time : 5.993 s
% 6.11/6.32 % System time : 0.038 s
% 6.11/6.32 % Total time : 6.031 s
%------------------------------------------------------------------------------