%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWX026+1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 221.03s 29.25s
% Output : CNFRefutation 221.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of clauses : 77 ( 14 unt; 45 nHn; 70 RR)
% Number of literals : 227 ( 130 equ; 87 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 158 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_386,plain,
( X1 = X2
| esk92_0 = nil
| append_succeeds(esk96_0,esk93_0,esk97_0)
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_386) ).
cnf(i_0_392,negated_conjecture,
append_succeeds(esk99_0,esk102_0,esk101_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_392) ).
cnf(i_0_388,plain,
( X1 = X2
| esk92_0 = nil
| cons(esk95_0,esk97_0) = esk94_0
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_388) ).
cnf(i_0_393,negated_conjecture,
append_succeeds(esk99_0,esk100_0,esk101_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_393) ).
cnf(i_0_391,negated_conjecture,
esk102_0 != esk100_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_391) ).
cnf(i_0_322,plain,
( list_succeeds(X1)
| ~ append_succeeds(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_322) ).
cnf(i_0_385,plain,
( X1 = X2
| esk93_0 = esk94_0
| append_succeeds(esk96_0,esk93_0,esk97_0)
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_385) ).
cnf(i_0_8,plain,
( X1 = X2
| cons(X3,X1) != cons(X4,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_8) ).
cnf(i_0_335,plain,
( cons(X1,'**'(X2,X3)) = '**'(cons(X1,X2),X3)
| ~ list_succeeds(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_335) ).
cnf(i_0_390,plain,
( X1 = X2
| esk92_0 = nil
| cons(esk95_0,esk96_0) = esk92_0
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_390) ).
cnf(i_0_382,plain,
( X1 = X2
| append_succeeds(esk92_0,esk98_0,esk94_0)
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_382) ).
cnf(i_0_387,plain,
( X1 = X2
| esk93_0 = esk94_0
| cons(esk95_0,esk97_0) = esk94_0
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_387) ).
cnf(i_0_306,plain,
( '**'(X1,X2) = X3
| ~ list_succeeds(X1)
| ~ append_succeeds(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_306) ).
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/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_74) ).
cnf(i_0_389,plain,
( X1 = X2
| esk93_0 = esk94_0
| cons(esk95_0,esk96_0) = esk92_0
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_389) ).
cnf(i_0_307,plain,
( append_succeeds(X1,X2,X3)
| '**'(X1,X2) != X3
| ~ list_succeeds(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_307) ).
cnf(i_0_384,plain,
( X1 = X2
| esk93_0 = X3
| esk92_0 = nil
| ~ append_succeeds(X4,X2,X5)
| ~ append_succeeds(X4,X1,X5)
| ~ append_succeeds(esk96_0,X3,esk97_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_384) ).
cnf(i_0_381,plain,
( X1 = X2
| esk93_0 != esk98_0
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_381) ).
cnf(i_0_334,plain,
'**'(nil,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ew53k3g4/input.p',i_0_334) ).
cnf(c_0_413,plain,
( X1 = X2
| esk92_0 = nil
| append_succeeds(esk96_0,esk93_0,esk97_0)
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
i_0_386 ).
cnf(c_0_414,negated_conjecture,
append_succeeds(esk99_0,esk102_0,esk101_0),
i_0_392 ).
cnf(c_0_415,plain,
( X1 = X2
| esk92_0 = nil
| cons(esk95_0,esk97_0) = esk94_0
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
i_0_388 ).
cnf(c_0_416,negated_conjecture,
( esk92_0 = nil
| X1 = esk102_0
| append_succeeds(esk96_0,esk93_0,esk97_0)
| ~ append_succeeds(esk99_0,X1,esk101_0) ),
inference(spm,[status(thm)],[c_0_413,c_0_414]) ).
cnf(c_0_417,negated_conjecture,
append_succeeds(esk99_0,esk100_0,esk101_0),
i_0_393 ).
cnf(c_0_418,negated_conjecture,
esk102_0 != esk100_0,
i_0_391 ).
cnf(c_0_419,negated_conjecture,
( cons(esk95_0,esk97_0) = esk94_0
| esk92_0 = nil
| X1 = esk102_0
| ~ append_succeeds(esk99_0,X1,esk101_0) ),
inference(spm,[status(thm)],[c_0_415,c_0_414]) ).
cnf(c_0_420,plain,
( list_succeeds(X1)
| ~ append_succeeds(X1,X2,X3) ),
i_0_322 ).
cnf(c_0_421,negated_conjecture,
( esk92_0 = nil
| append_succeeds(esk96_0,esk93_0,esk97_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_417]),c_0_418]) ).
cnf(c_0_422,plain,
( X1 = X2
| esk93_0 = esk94_0
| append_succeeds(esk96_0,esk93_0,esk97_0)
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
i_0_385 ).
cnf(c_0_423,plain,
( X1 = X2
| cons(X3,X1) != cons(X4,X2) ),
i_0_8 ).
cnf(c_0_424,negated_conjecture,
( cons(esk95_0,esk97_0) = esk94_0
| esk92_0 = nil ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_417]),c_0_418]) ).
cnf(c_0_425,plain,
( cons(X1,'**'(X2,X3)) = '**'(cons(X1,X2),X3)
| ~ list_succeeds(X2) ),
i_0_335 ).
cnf(c_0_426,plain,
( esk92_0 = nil
| list_succeeds(esk96_0) ),
inference(spm,[status(thm)],[c_0_420,c_0_421]) ).
cnf(c_0_427,plain,
( X1 = X2
| esk92_0 = nil
| cons(esk95_0,esk96_0) = esk92_0
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
i_0_390 ).
cnf(c_0_428,plain,
( X1 = X2
| append_succeeds(esk92_0,esk98_0,esk94_0)
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
i_0_382 ).
cnf(c_0_429,negated_conjecture,
( esk93_0 = esk94_0
| X1 = esk102_0
| append_succeeds(esk96_0,esk93_0,esk97_0)
| ~ append_succeeds(esk99_0,X1,esk101_0) ),
inference(spm,[status(thm)],[c_0_422,c_0_414]) ).
cnf(c_0_430,plain,
( X1 = X2
| esk93_0 = esk94_0
| cons(esk95_0,esk97_0) = esk94_0
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
i_0_387 ).
cnf(c_0_431,plain,
( esk92_0 = nil
| esk97_0 = X1
| cons(X2,X1) != esk94_0 ),
inference(spm,[status(thm)],[c_0_423,c_0_424]) ).
cnf(c_0_432,plain,
( cons(X1,'**'(esk96_0,X2)) = '**'(cons(X1,esk96_0),X2)
| esk92_0 = nil ),
inference(spm,[status(thm)],[c_0_425,c_0_426]) ).
cnf(c_0_433,negated_conjecture,
( cons(esk95_0,esk96_0) = esk92_0
| esk92_0 = nil
| X1 = esk102_0
| ~ append_succeeds(esk99_0,X1,esk101_0) ),
inference(spm,[status(thm)],[c_0_427,c_0_414]) ).
cnf(c_0_434,plain,
( '**'(X1,X2) = X3
| ~ list_succeeds(X1)
| ~ append_succeeds(X1,X2,X3) ),
i_0_306 ).
cnf(c_0_435,negated_conjecture,
( X1 = esk102_0
| append_succeeds(esk92_0,esk98_0,esk94_0)
| ~ append_succeeds(esk99_0,X1,esk101_0) ),
inference(spm,[status(thm)],[c_0_428,c_0_414]) ).
cnf(c_0_436,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_437,negated_conjecture,
( esk93_0 = esk94_0
| append_succeeds(esk96_0,esk93_0,esk97_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_417]),c_0_418]) ).
cnf(c_0_438,negated_conjecture,
( cons(esk95_0,esk97_0) = esk94_0
| esk93_0 = esk94_0
| X1 = esk102_0
| ~ append_succeeds(esk99_0,X1,esk101_0) ),
inference(spm,[status(thm)],[c_0_430,c_0_414]) ).
cnf(c_0_439,plain,
( X1 = X2
| esk93_0 = esk94_0
| cons(esk95_0,esk96_0) = esk92_0
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
i_0_389 ).
cnf(c_0_440,plain,
( append_succeeds(X1,X2,X3)
| '**'(X1,X2) != X3
| ~ list_succeeds(X1) ),
i_0_307 ).
cnf(c_0_441,plain,
( '**'(esk96_0,X1) = esk97_0
| esk92_0 = nil
| '**'(cons(X2,esk96_0),X1) != esk94_0 ),
inference(spm,[status(thm)],[c_0_431,c_0_432]) ).
cnf(c_0_442,negated_conjecture,
( cons(esk95_0,esk96_0) = esk92_0
| esk92_0 = nil ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_417]),c_0_418]) ).
cnf(c_0_443,plain,
( '**'(X1,X2) = X3
| ~ append_succeeds(X1,X2,X3) ),
inference(csr,[status(thm)],[c_0_434,c_0_420]) ).
cnf(c_0_444,negated_conjecture,
append_succeeds(esk92_0,esk98_0,esk94_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_417]),c_0_418]) ).
cnf(c_0_445,plain,
( esk93_0 = esk94_0
| append_succeeds(X1,esk93_0,X2)
| X2 != cons(X3,esk97_0)
| X1 != cons(X3,esk96_0) ),
inference(spm,[status(thm)],[c_0_436,c_0_437]) ).
cnf(c_0_446,negated_conjecture,
( cons(esk95_0,esk97_0) = esk94_0
| esk93_0 = esk94_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_417]),c_0_418]) ).
cnf(c_0_447,negated_conjecture,
( cons(esk95_0,esk96_0) = esk92_0
| esk93_0 = esk94_0
| X1 = esk102_0
| ~ append_succeeds(esk99_0,X1,esk101_0) ),
inference(spm,[status(thm)],[c_0_439,c_0_414]) ).
cnf(c_0_448,plain,
( append_succeeds(X1,X2,'**'(X1,X2))
| ~ list_succeeds(X1) ),
inference(er,[status(thm)],[c_0_440]) ).
cnf(c_0_449,negated_conjecture,
( '**'(esk96_0,X1) = esk97_0
| esk92_0 = nil
| '**'(esk92_0,X1) != esk94_0 ),
inference(spm,[status(thm)],[c_0_441,c_0_442]) ).
cnf(c_0_450,plain,
'**'(esk92_0,esk98_0) = esk94_0,
inference(spm,[status(thm)],[c_0_443,c_0_444]) ).
cnf(c_0_451,plain,
( esk93_0 = esk94_0
| append_succeeds(X1,esk93_0,X2)
| X1 != cons(esk95_0,esk96_0)
| X2 != esk94_0 ),
inference(spm,[status(thm)],[c_0_445,c_0_446]) ).
cnf(c_0_452,negated_conjecture,
( cons(esk95_0,esk96_0) = esk92_0
| esk93_0 = esk94_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_417]),c_0_418]) ).
cnf(c_0_453,plain,
( esk92_0 = nil
| append_succeeds(esk96_0,X1,'**'(esk96_0,X1)) ),
inference(spm,[status(thm)],[c_0_448,c_0_426]) ).
cnf(c_0_454,plain,
( '**'(esk96_0,esk98_0) = esk97_0
| esk92_0 = nil ),
inference(spm,[status(thm)],[c_0_449,c_0_450]) ).
cnf(c_0_455,negated_conjecture,
( esk93_0 = esk94_0
| append_succeeds(X1,esk93_0,X2)
| X1 != esk92_0
| X2 != esk94_0 ),
inference(spm,[status(thm)],[c_0_451,c_0_452]) ).
cnf(c_0_456,plain,
( X1 = X2
| esk93_0 = X3
| esk92_0 = nil
| ~ append_succeeds(X4,X2,X5)
| ~ append_succeeds(X4,X1,X5)
| ~ append_succeeds(esk96_0,X3,esk97_0) ),
i_0_384 ).
cnf(c_0_457,plain,
( esk92_0 = nil
| append_succeeds(esk96_0,esk98_0,esk97_0) ),
inference(spm,[status(thm)],[c_0_453,c_0_454]) ).
cnf(c_0_458,plain,
( X1 = X2
| esk93_0 != esk98_0
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
i_0_381 ).
cnf(c_0_459,negated_conjecture,
( esk93_0 = esk94_0
| append_succeeds(esk92_0,esk93_0,X1)
| X1 != esk94_0 ),
inference(er,[status(thm)],[c_0_455]) ).
cnf(c_0_460,plain,
( esk92_0 = nil
| X1 = X2
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_457]),c_0_458]) ).
cnf(c_0_461,negated_conjecture,
( esk93_0 = esk94_0
| append_succeeds(esk92_0,esk93_0,esk94_0) ),
inference(er,[status(thm)],[c_0_459]) ).
cnf(c_0_462,negated_conjecture,
( esk92_0 = nil
| X1 = esk102_0
| ~ append_succeeds(esk99_0,X1,esk101_0) ),
inference(spm,[status(thm)],[c_0_460,c_0_414]) ).
cnf(c_0_463,plain,
( '**'(esk92_0,esk93_0) = esk94_0
| esk93_0 = esk94_0 ),
inference(spm,[status(thm)],[c_0_443,c_0_461]) ).
cnf(c_0_464,negated_conjecture,
esk92_0 = nil,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_417]),c_0_418]) ).
cnf(c_0_465,plain,
'**'(nil,X1) = X1,
i_0_334 ).
cnf(c_0_466,plain,
esk93_0 = esk94_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_464]),c_0_465])]) ).
cnf(c_0_467,plain,
esk94_0 = esk98_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_450,c_0_464]),c_0_465]) ).
cnf(c_0_468,plain,
( X1 = X2
| ~ append_succeeds(X3,X2,X4)
| ~ append_succeeds(X3,X1,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_458,c_0_466]),c_0_467])]) ).
cnf(c_0_469,negated_conjecture,
( X1 = esk102_0
| ~ append_succeeds(esk99_0,X1,esk101_0) ),
inference(spm,[status(thm)],[c_0_468,c_0_414]) ).
cnf(c_0_470,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_417]),c_0_418]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWX026+1 : TPTP v9.1.0. Released v9.1.0.
% 0.04/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n029.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 14:06:51 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 221.03/29.25 # ENIGMATIC: Solved by paramils045:
% 221.03/29.25 # Preprocessing time : 0.018 s
% 221.03/29.25
% 221.03/29.25 # Proof found!
% 221.03/29.25 # SZS status Theorem
% 221.03/29.25 # SZS output start CNFRefutation
% See solution above
% 221.03/29.25 # Training examples: 0 positive, 0 negative
% 221.03/29.25
% 221.03/29.25 # -------------------------------------------------
% 221.03/29.25 # User time : 0.486 s
% 221.03/29.25 # System time : 0.011 s
% 221.03/29.25 # Total time : 0.497 s
% 221.03/29.25 # ...preprocessing : 0.018 s
% 221.03/29.25 # ...main loop : 0.479 s
% 221.03/29.25 # Maximum resident set size: 14740 pages
% 221.03/29.25
%------------------------------------------------------------------------------