%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWX024+1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n009.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 : Tue Apr 1 02:12:54 AM UTC 2025
% Result : Theorem 260.82s 34.24s
% Output : CNFRefutation 260.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 40
% Syntax : Number of clauses : 151 ( 30 unt; 68 nHn; 112 RR)
% Number of literals : 424 ( 120 equ; 152 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 277 ( 41 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_381,plain,
( esk92_0 = nil
| cons(esk95_0,esk97_0) = esk94_0
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_381) ).
cnf(i_0_387,negated_conjecture,
append_succeeds(esk100_0,esk101_0,esk102_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_387) ).
cnf(i_0_386,negated_conjecture,
member_succeeds(esk99_0,esk102_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_386) ).
cnf(i_0_385,negated_conjecture,
~ member_succeeds(esk99_0,esk100_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_385) ).
cnf(i_0_384,negated_conjecture,
~ member_succeeds(esk99_0,esk101_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_384) ).
cnf(i_0_375,plain,
( member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| member_succeeds(esk98_0,esk94_0)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_375) ).
cnf(i_0_73,plain,
( append_succeeds(X1,X2,X3)
| X3 != X2
| X1 != nil ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_73) ).
cnf(i_0_321,plain,
( X1 = X2
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,cons(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_321) ).
cnf(i_0_377,plain,
( esk92_0 = nil
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| member_succeeds(X4,esk93_0)
| member_succeeds(X4,esk96_0)
| ~ member_succeeds(X1,X5)
| ~ member_succeeds(X4,esk97_0)
| ~ append_succeeds(X3,X2,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_377) ).
cnf(i_0_74,plain,
( append_succeeds(X1,X2,X3)
| X3 != cons(X4,X5)
| X1 != cons(X4,X6)
| ~ append_succeeds(X6,X2,X5) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_74) ).
cnf(i_0_383,plain,
( esk92_0 = nil
| cons(esk95_0,esk96_0) = esk92_0
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_383) ).
cnf(i_0_373,plain,
( member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4)
| ~ member_succeeds(esk98_0,esk93_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_373) ).
cnf(i_0_322,plain,
( list_succeeds(X1)
| ~ append_succeeds(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_322) ).
cnf(i_0_369,plain,
( member_succeeds(X1,X2)
| ~ member_succeeds(X1,X3)
| ~ append_succeeds(X4,X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_369) ).
cnf(i_0_351,plain,
( nat_succeeds(lh(X1))
| ~ list_succeeds(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_351) ).
cnf(i_0_345,plain,
( length_terminates(X1,X2)
| ~ list_succeeds(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_345) ).
cnf(i_0_255,plain,
( '@<_terminates'(X1,X2)
| ~ nat_succeeds(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_255) ).
cnf(i_0_20,plain,
( length_succeeds(X1,X2)
| length_fails(X1,X2)
| ~ length_terminates(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_20) ).
cnf(i_0_374,plain,
( member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4)
| ~ member_succeeds(esk98_0,esk92_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_374) ).
cnf(i_0_204,plain,
( '@<_terminates'(X1,X2)
| X3 != s(X2)
| X4 != s(X1)
| ~ '@<_terminates'(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_204) ).
cnf(i_0_348,plain,
( X1 = X2
| ~ length_succeeds(X3,X2)
| ~ length_succeeds(X3,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_348) ).
cnf(i_0_308,plain,
( lh(X1) = X2
| ~ list_succeeds(X1)
| ~ length_succeeds(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_308) ).
cnf(i_0_344,plain,
( list_succeeds(X1)
| ~ length_succeeds(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_344) ).
cnf(i_0_205,plain,
( nat_succeeds(X1)
| X1 != '0' ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_205) ).
cnf(i_0_378,plain,
( esk93_0 = esk94_0
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| append_succeeds(esk96_0,esk93_0,esk97_0)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_378) ).
cnf(i_0_93,plain,
( member_succeeds(X1,X2)
| X2 != cons(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_93) ).
cnf(i_0_256,plain,
( '@<_terminates'(X1,X2)
| ~ nat_succeeds(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_256) ).
cnf(i_0_36,plain,
( '@<_succeeds'(X1,X2)
| '@<_fails'(X1,X2)
| ~ '@<_terminates'(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_36) ).
cnf(i_0_171,plain,
( '@=<_succeeds'(X1,X2)
| X1 != '0' ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_171) ).
cnf(i_0_382,plain,
( esk93_0 = esk94_0
| cons(esk95_0,esk96_0) = esk92_0
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_382) ).
cnf(i_0_281,plain,
( '@<_succeeds'(X1,X2)
| ~ '@=<_succeeds'(X3,X2)
| ~ '@<_succeeds'(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_281) ).
cnf(i_0_287,plain,
( '@<_succeeds'(X1,'@+'(X1,s(X2)))
| ~ nat_succeeds(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_287) ).
cnf(i_0_229,plain,
'@+'('0',X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_229) ).
cnf(i_0_350,plain,
( lh(cons(X1,X2)) = s(lh(X2))
| ~ list_succeeds(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_350) ).
cnf(i_0_274,plain,
( '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_274) ).
cnf(i_0_258,plain,
( s(esk80_2(X1,X2)) = X2
| ~ '@<_succeeds'(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_258) ).
cnf(i_0_35,plain,
( ~ '@<_succeeds'(X1,X2)
| ~ '@<_fails'(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_35) ).
cnf(i_0_283,plain,
( X1 = X2
| ~ '@=<_succeeds'(X2,X1)
| ~ '@=<_succeeds'(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_283) ).
cnf(i_0_2,plain,
s(X1) != '0',
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_2) ).
cnf(i_0_349,plain,
lh(nil) = '0',
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-918tp8te/input.p',i_0_349) ).
cnf(c_0_428,plain,
( esk92_0 = nil
| cons(esk95_0,esk97_0) = esk94_0
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4) ),
i_0_381 ).
cnf(c_0_429,negated_conjecture,
append_succeeds(esk100_0,esk101_0,esk102_0),
i_0_387 ).
cnf(c_0_430,negated_conjecture,
( cons(esk95_0,esk97_0) = esk94_0
| esk92_0 = nil
| member_succeeds(X1,esk100_0)
| member_succeeds(X1,esk101_0)
| ~ member_succeeds(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_428,c_0_429]) ).
cnf(c_0_431,negated_conjecture,
member_succeeds(esk99_0,esk102_0),
i_0_386 ).
cnf(c_0_432,negated_conjecture,
~ member_succeeds(esk99_0,esk100_0),
i_0_385 ).
cnf(c_0_433,negated_conjecture,
~ member_succeeds(esk99_0,esk101_0),
i_0_384 ).
cnf(c_0_434,plain,
( member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| member_succeeds(esk98_0,esk94_0)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4) ),
i_0_375 ).
cnf(c_0_435,plain,
( append_succeeds(X1,X2,X3)
| X3 != X2
| X1 != nil ),
i_0_73 ).
cnf(c_0_436,plain,
( X1 = X2
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,cons(X2,X3)) ),
i_0_321 ).
cnf(c_0_437,negated_conjecture,
( cons(esk95_0,esk97_0) = esk94_0
| esk92_0 = nil ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_431]),c_0_432]),c_0_433]) ).
cnf(c_0_438,negated_conjecture,
( member_succeeds(esk98_0,esk94_0)
| member_succeeds(X1,esk100_0)
| member_succeeds(X1,esk101_0)
| ~ member_succeeds(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_434,c_0_429]) ).
cnf(c_0_439,plain,
( append_succeeds(X1,X2,X2)
| X1 != nil ),
inference(er,[status(thm)],[c_0_435]) ).
cnf(c_0_440,plain,
( esk92_0 = nil
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| member_succeeds(X4,esk93_0)
| member_succeeds(X4,esk96_0)
| ~ member_succeeds(X1,X5)
| ~ member_succeeds(X4,esk97_0)
| ~ append_succeeds(X3,X2,X5) ),
i_0_377 ).
cnf(c_0_441,plain,
( esk92_0 = nil
| X1 = esk95_0
| member_succeeds(X1,esk97_0)
| ~ member_succeeds(X1,esk94_0) ),
inference(spm,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_442,negated_conjecture,
member_succeeds(esk98_0,esk94_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_431]),c_0_432]),c_0_433]) ).
cnf(c_0_443,plain,
( append_succeeds(X1,X2,X3)
| X3 != cons(X4,X5)
| X1 != cons(X4,X6)
| ~ append_succeeds(X6,X2,X5) ),
i_0_74 ).
cnf(c_0_444,plain,
append_succeeds(nil,X1,X1),
inference(er,[status(thm)],[c_0_439]) ).
cnf(c_0_445,plain,
( esk92_0 = nil
| cons(esk95_0,esk96_0) = esk92_0
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4) ),
i_0_383 ).
cnf(c_0_446,negated_conjecture,
( esk92_0 = nil
| member_succeeds(X1,esk100_0)
| member_succeeds(X1,esk101_0)
| member_succeeds(X2,esk96_0)
| member_succeeds(X2,esk93_0)
| ~ member_succeeds(X2,esk97_0)
| ~ member_succeeds(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_440,c_0_429]) ).
cnf(c_0_447,negated_conjecture,
( esk95_0 = esk98_0
| esk92_0 = nil
| member_succeeds(esk98_0,esk97_0) ),
inference(spm,[status(thm)],[c_0_441,c_0_442]) ).
cnf(c_0_448,plain,
( append_succeeds(X1,X2,X3)
| X1 != cons(X4,nil)
| X3 != cons(X4,X2) ),
inference(spm,[status(thm)],[c_0_443,c_0_444]) ).
cnf(c_0_449,negated_conjecture,
( cons(esk95_0,esk96_0) = esk92_0
| esk92_0 = nil
| member_succeeds(X1,esk100_0)
| member_succeeds(X1,esk101_0)
| ~ member_succeeds(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_445,c_0_429]) ).
cnf(c_0_450,negated_conjecture,
( esk95_0 = esk98_0
| esk92_0 = nil
| member_succeeds(esk98_0,esk93_0)
| member_succeeds(esk98_0,esk96_0)
| member_succeeds(X1,esk101_0)
| member_succeeds(X1,esk100_0)
| ~ member_succeeds(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_446,c_0_447]) ).
cnf(c_0_451,plain,
( append_succeeds(cons(X1,nil),X2,X3)
| X3 != cons(X1,X2) ),
inference(er,[status(thm)],[c_0_448]) ).
cnf(c_0_452,negated_conjecture,
( cons(esk95_0,esk96_0) = esk92_0
| esk92_0 = nil ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_431]),c_0_432]),c_0_433]) ).
cnf(c_0_453,plain,
( member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4)
| ~ member_succeeds(esk98_0,esk93_0) ),
i_0_373 ).
cnf(c_0_454,negated_conjecture,
( esk92_0 = nil
| esk95_0 = esk98_0
| member_succeeds(esk98_0,esk96_0)
| member_succeeds(esk98_0,esk93_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_431]),c_0_433]),c_0_432]) ).
cnf(c_0_455,plain,
( esk92_0 = nil
| append_succeeds(cons(esk95_0,nil),esk96_0,X1)
| X1 != esk92_0 ),
inference(spm,[status(thm)],[c_0_451,c_0_452]) ).
cnf(c_0_456,plain,
( esk95_0 = esk98_0
| esk92_0 = nil
| member_succeeds(esk98_0,esk96_0)
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ append_succeeds(X2,X3,X4)
| ~ member_succeeds(X1,X4) ),
inference(spm,[status(thm)],[c_0_453,c_0_454]) ).
cnf(c_0_457,plain,
( list_succeeds(X1)
| ~ append_succeeds(X1,X2,X3) ),
i_0_322 ).
cnf(c_0_458,plain,
( member_succeeds(X1,X2)
| ~ member_succeeds(X1,X3)
| ~ append_succeeds(X4,X3,X2) ),
i_0_369 ).
cnf(c_0_459,plain,
( esk92_0 = nil
| append_succeeds(cons(esk95_0,nil),esk96_0,esk92_0) ),
inference(er,[status(thm)],[c_0_455]) ).
cnf(c_0_460,negated_conjecture,
( esk92_0 = nil
| esk95_0 = esk98_0
| member_succeeds(esk98_0,esk96_0)
| member_succeeds(X1,esk101_0)
| member_succeeds(X1,esk100_0)
| ~ member_succeeds(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_456,c_0_429]) ).
cnf(c_0_461,plain,
( nat_succeeds(lh(X1))
| ~ list_succeeds(X1) ),
i_0_351 ).
cnf(c_0_462,negated_conjecture,
list_succeeds(esk100_0),
inference(spm,[status(thm)],[c_0_457,c_0_429]) ).
cnf(c_0_463,plain,
( length_terminates(X1,X2)
| ~ list_succeeds(X1) ),
i_0_345 ).
cnf(c_0_464,plain,
( esk92_0 = nil
| member_succeeds(X1,esk92_0)
| ~ member_succeeds(X1,esk96_0) ),
inference(spm,[status(thm)],[c_0_458,c_0_459]) ).
cnf(c_0_465,negated_conjecture,
( esk95_0 = esk98_0
| esk92_0 = nil
| member_succeeds(esk98_0,esk96_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_431]),c_0_433]),c_0_432]) ).
cnf(c_0_466,plain,
( '@<_terminates'(X1,X2)
| ~ nat_succeeds(X1) ),
i_0_255 ).
cnf(c_0_467,plain,
nat_succeeds(lh(esk100_0)),
inference(spm,[status(thm)],[c_0_461,c_0_462]) ).
cnf(c_0_468,plain,
( length_succeeds(X1,X2)
| length_fails(X1,X2)
| ~ length_terminates(X1,X2) ),
i_0_20 ).
cnf(c_0_469,plain,
length_terminates(esk100_0,X1),
inference(spm,[status(thm)],[c_0_463,c_0_462]) ).
cnf(c_0_470,plain,
( member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4)
| ~ member_succeeds(esk98_0,esk92_0) ),
i_0_374 ).
cnf(c_0_471,plain,
( esk95_0 = esk98_0
| esk92_0 = nil
| member_succeeds(esk98_0,esk92_0) ),
inference(spm,[status(thm)],[c_0_464,c_0_465]) ).
cnf(c_0_472,plain,
( '@<_terminates'(X1,X2)
| X3 != s(X2)
| X4 != s(X1)
| ~ '@<_terminates'(X4,X3) ),
i_0_204 ).
cnf(c_0_473,plain,
'@<_terminates'(lh(esk100_0),X1),
inference(spm,[status(thm)],[c_0_466,c_0_467]) ).
cnf(c_0_474,plain,
( X1 = X2
| ~ length_succeeds(X3,X2)
| ~ length_succeeds(X3,X1) ),
i_0_348 ).
cnf(c_0_475,plain,
( length_fails(esk100_0,X1)
| length_succeeds(esk100_0,X1) ),
inference(spm,[status(thm)],[c_0_468,c_0_469]) ).
cnf(c_0_476,plain,
( lh(X1) = X2
| ~ list_succeeds(X1)
| ~ length_succeeds(X1,X2) ),
i_0_308 ).
cnf(c_0_477,plain,
( list_succeeds(X1)
| ~ length_succeeds(X1,X2) ),
i_0_344 ).
cnf(c_0_478,plain,
( nat_succeeds(X1)
| X1 != '0' ),
i_0_205 ).
cnf(c_0_479,plain,
( esk93_0 = esk94_0
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| append_succeeds(esk96_0,esk93_0,esk97_0)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4) ),
i_0_378 ).
cnf(c_0_480,plain,
( member_succeeds(X1,X2)
| X2 != cons(X1,X3) ),
i_0_93 ).
cnf(c_0_481,plain,
( esk92_0 = nil
| esk95_0 = esk98_0
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ append_succeeds(X2,X3,X4)
| ~ member_succeeds(X1,X4) ),
inference(spm,[status(thm)],[c_0_470,c_0_471]) ).
cnf(c_0_482,plain,
( '@<_terminates'(X1,X2)
| s(X1) != lh(esk100_0)
| X3 != s(X2) ),
inference(spm,[status(thm)],[c_0_472,c_0_473]) ).
cnf(c_0_483,plain,
( X1 = X2
| length_fails(esk100_0,X2)
| ~ length_succeeds(esk100_0,X1) ),
inference(spm,[status(thm)],[c_0_474,c_0_475]) ).
cnf(c_0_484,plain,
( lh(X1) = X2
| ~ length_succeeds(X1,X2) ),
inference(csr,[status(thm)],[c_0_476,c_0_477]) ).
cnf(c_0_485,plain,
( '@<_terminates'(X1,X2)
| ~ nat_succeeds(X2) ),
i_0_256 ).
cnf(c_0_486,plain,
nat_succeeds('0'),
inference(er,[status(thm)],[c_0_478]) ).
cnf(c_0_487,negated_conjecture,
( esk93_0 = esk94_0
| append_succeeds(esk96_0,esk93_0,esk97_0)
| member_succeeds(X1,esk100_0)
| member_succeeds(X1,esk101_0)
| ~ member_succeeds(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_479,c_0_429]) ).
cnf(c_0_488,plain,
member_succeeds(X1,cons(X1,X2)),
inference(er,[status(thm)],[c_0_480]) ).
cnf(c_0_489,negated_conjecture,
( esk95_0 = esk98_0
| esk92_0 = nil
| member_succeeds(X1,esk101_0)
| member_succeeds(X1,esk100_0)
| ~ member_succeeds(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_481,c_0_429]) ).
cnf(c_0_490,plain,
( '@<_terminates'(X1,X2)
| s(X1) != lh(esk100_0) ),
inference(er,[status(thm)],[c_0_482]) ).
cnf(c_0_491,plain,
( X1 = X2
| length_fails(esk100_0,X1)
| length_fails(esk100_0,X2) ),
inference(spm,[status(thm)],[c_0_483,c_0_475]) ).
cnf(c_0_492,plain,
( lh(esk100_0) = X1
| length_fails(esk100_0,X1) ),
inference(spm,[status(thm)],[c_0_484,c_0_475]) ).
cnf(c_0_493,plain,
( '@<_succeeds'(X1,X2)
| '@<_fails'(X1,X2)
| ~ '@<_terminates'(X1,X2) ),
i_0_36 ).
cnf(c_0_494,plain,
'@<_terminates'(X1,'0'),
inference(spm,[status(thm)],[c_0_485,c_0_486]) ).
cnf(c_0_495,plain,
( '@=<_succeeds'(X1,X2)
| X1 != '0' ),
i_0_171 ).
cnf(c_0_496,negated_conjecture,
( esk93_0 = esk94_0
| append_succeeds(esk96_0,esk93_0,esk97_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_487,c_0_431]),c_0_432]),c_0_433]) ).
cnf(c_0_497,plain,
( esk93_0 = esk94_0
| cons(esk95_0,esk96_0) = esk92_0
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ member_succeeds(X1,X4)
| ~ append_succeeds(X3,X2,X4) ),
i_0_382 ).
cnf(c_0_498,plain,
( esk92_0 = nil
| member_succeeds(esk95_0,esk92_0) ),
inference(spm,[status(thm)],[c_0_488,c_0_452]) ).
cnf(c_0_499,negated_conjecture,
( esk92_0 = nil
| esk95_0 = esk98_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_431]),c_0_433]),c_0_432]) ).
cnf(c_0_500,plain,
( length_fails(esk100_0,s(X1))
| length_fails(esk100_0,X2)
| '@<_terminates'(X1,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_491]),c_0_492]) ).
cnf(c_0_501,plain,
( '@<_succeeds'(X1,X2)
| ~ '@=<_succeeds'(X3,X2)
| ~ '@<_succeeds'(X1,X3) ),
i_0_281 ).
cnf(c_0_502,plain,
( '@<_succeeds'(X1,'0')
| '@<_fails'(X1,'0') ),
inference(spm,[status(thm)],[c_0_493,c_0_494]) ).
cnf(c_0_503,plain,
'@=<_succeeds'('0',X1),
inference(er,[status(thm)],[c_0_495]) ).
cnf(c_0_504,plain,
( '@<_succeeds'(X1,'@+'(X1,s(X2)))
| ~ nat_succeeds(X1) ),
i_0_287 ).
cnf(c_0_505,plain,
'@+'('0',X1) = X1,
i_0_229 ).
cnf(c_0_506,plain,
( lh(cons(X1,X2)) = s(lh(X2))
| ~ list_succeeds(X2) ),
i_0_350 ).
cnf(c_0_507,plain,
( esk93_0 = esk94_0
| list_succeeds(esk96_0) ),
inference(spm,[status(thm)],[c_0_457,c_0_496]) ).
cnf(c_0_508,negated_conjecture,
( cons(esk95_0,esk96_0) = esk92_0
| esk93_0 = esk94_0
| member_succeeds(X1,esk100_0)
| member_succeeds(X1,esk101_0)
| ~ member_succeeds(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_497,c_0_429]) ).
cnf(c_0_509,plain,
( esk92_0 = nil
| member_succeeds(esk98_0,esk92_0) ),
inference(spm,[status(thm)],[c_0_498,c_0_499]) ).
cnf(c_0_510,plain,
( length_fails(esk100_0,s(X1))
| '@<_terminates'(X1,X2) ),
inference(ef,[status(thm)],[c_0_500]) ).
cnf(c_0_511,plain,
( '@=<_succeeds'(X1,X2)
| ~ '@<_succeeds'(X1,X2) ),
i_0_274 ).
cnf(c_0_512,plain,
( s(esk80_2(X1,X2)) = X2
| ~ '@<_succeeds'(X1,X2) ),
i_0_258 ).
cnf(c_0_513,plain,
( '@<_succeeds'(X1,X2)
| '@<_fails'(X1,'0') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_502]),c_0_503])]) ).
cnf(c_0_514,plain,
( ~ '@<_succeeds'(X1,X2)
| ~ '@<_fails'(X1,X2) ),
i_0_35 ).
cnf(c_0_515,plain,
'@<_succeeds'('0',s(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_486]),c_0_505]) ).
cnf(c_0_516,plain,
( lh(cons(X1,esk96_0)) = s(lh(esk96_0))
| esk93_0 = esk94_0 ),
inference(spm,[status(thm)],[c_0_506,c_0_507]) ).
cnf(c_0_517,negated_conjecture,
( cons(esk95_0,esk96_0) = esk92_0
| esk93_0 = esk94_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_508,c_0_431]),c_0_432]),c_0_433]) ).
cnf(c_0_518,plain,
( esk92_0 = nil
| member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ append_succeeds(X2,X3,X4)
| ~ member_succeeds(X1,X4) ),
inference(spm,[status(thm)],[c_0_470,c_0_509]) ).
cnf(c_0_519,plain,
( X1 = X2
| ~ '@=<_succeeds'(X2,X1)
| ~ '@=<_succeeds'(X1,X2) ),
i_0_283 ).
cnf(c_0_520,plain,
( length_fails(esk100_0,s(X1))
| '@<_succeeds'(X1,X2)
| '@<_fails'(X1,X2) ),
inference(spm,[status(thm)],[c_0_493,c_0_510]) ).
cnf(c_0_521,plain,
( '@<_fails'(X1,'0')
| '@=<_succeeds'(X1,'0') ),
inference(spm,[status(thm)],[c_0_511,c_0_502]) ).
cnf(c_0_522,plain,
s(X1) != '0',
i_0_2 ).
cnf(c_0_523,plain,
( s(esk80_2(X1,X2)) = X2
| '@<_fails'(X1,'0') ),
inference(spm,[status(thm)],[c_0_512,c_0_513]) ).
cnf(c_0_524,plain,
~ '@<_fails'('0',s(X1)),
inference(spm,[status(thm)],[c_0_514,c_0_515]) ).
cnf(c_0_525,negated_conjecture,
( s(lh(esk96_0)) = lh(esk92_0)
| esk93_0 = esk94_0 ),
inference(spm,[status(thm)],[c_0_516,c_0_517]) ).
cnf(c_0_526,negated_conjecture,
( esk92_0 = nil
| member_succeeds(X1,esk101_0)
| member_succeeds(X1,esk100_0)
| ~ member_succeeds(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_518,c_0_429]) ).
cnf(c_0_527,plain,
( X1 = '0'
| ~ '@=<_succeeds'(X1,'0') ),
inference(spm,[status(thm)],[c_0_519,c_0_503]) ).
cnf(c_0_528,plain,
( length_fails(esk100_0,s(X1))
| '@<_fails'(X1,X2)
| '@=<_succeeds'(X1,X2) ),
inference(spm,[status(thm)],[c_0_511,c_0_520]) ).
cnf(c_0_529,plain,
( '0' = X1
| '@<_fails'(X1,'0') ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_521]),c_0_503])]) ).
cnf(c_0_530,plain,
( '@<_fails'(X1,'0')
| X2 != '0' ),
inference(spm,[status(thm)],[c_0_522,c_0_523]) ).
cnf(c_0_531,plain,
( esk93_0 = esk94_0
| ~ '@<_fails'('0',lh(esk92_0)) ),
inference(spm,[status(thm)],[c_0_524,c_0_525]) ).
cnf(c_0_532,negated_conjecture,
esk92_0 = nil,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_526,c_0_431]),c_0_433]),c_0_432]) ).
cnf(c_0_533,plain,
lh(nil) = '0',
i_0_349 ).
cnf(c_0_534,plain,
'@<_fails'(X1,'0'),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_528]),c_0_529]),c_0_530]) ).
cnf(c_0_535,plain,
esk93_0 = esk94_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_531,c_0_532]),c_0_533]),c_0_534])]) ).
cnf(c_0_536,plain,
( member_succeeds(X1,X2)
| member_succeeds(X1,X3)
| ~ append_succeeds(X2,X3,X4)
| ~ member_succeeds(X1,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_453,c_0_535]),c_0_442])]) ).
cnf(c_0_537,negated_conjecture,
( member_succeeds(X1,esk101_0)
| member_succeeds(X1,esk100_0)
| ~ member_succeeds(X1,esk102_0) ),
inference(spm,[status(thm)],[c_0_536,c_0_429]) ).
cnf(c_0_538,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_537,c_0_431]),c_0_433]),c_0_432]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWX024+1 : TPTP v9.1.0. Released v9.1.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Mar 31 13:59:59 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 260.82/34.24 # ENIGMATIC: Solved by paramils045:
% 260.82/34.24 # Preprocessing time : 0.016 s
% 260.82/34.24
% 260.82/34.24 # Proof found!
% 260.82/34.24 # SZS status Theorem
% 260.82/34.24 # SZS output start CNFRefutation
% See solution above
% 260.82/34.24 # Training examples: 0 positive, 0 negative
% 260.82/34.24
% 260.82/34.24 # -------------------------------------------------
% 260.82/34.24 # User time : 5.626 s
% 260.82/34.24 # System time : 0.065 s
% 260.82/34.24 # Total time : 5.691 s
% 260.82/34.24 # ...preprocessing : 0.016 s
% 260.82/34.24 # ...main loop : 5.675 s
% 260.82/34.24 # Maximum resident set size: 85412 pages
% 260.82/34.24
%------------------------------------------------------------------------------