%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWX210+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 May 5 06:59:49 PM UTC 2026
% Result : Theorem 267.47s 35.10s
% Output : CNFRefutation 267.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of clauses : 78 ( 47 unt; 10 nHn; 53 RR)
% Number of literals : 132 ( 71 equ; 65 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-2 aty)
% Number of variables : 142 ( 69 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_56,negated_conjecture,
~ rec(X1,cons(a,cons(b,cons(b,cons(a,nil))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_56) ).
cnf(i_0_54,plain,
( rec(X1,cons(X2,X3))
| ~ rec(step(X1,X2),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_54) ).
cnf(i_0_22,plain,
atom(X1) != x(X2,X3),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_22) ).
cnf(i_0_36,plain,
( X1 = eps
| star(proj1Star(X1)) = X1
| x(proj1(X1),proj2(X1)) = X1
| y(proj12(X1),proj22(X1)) = X1
| ~ eps2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_36) ).
cnf(i_0_15,plain,
x(X1,X2) != nil2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_15) ).
cnf(i_0_45,plain,
( atom(proj1Atom(X1)) = X1
| star(proj1Star(X1)) = X1
| step(X1,X2) = nil2
| x(proj1(X1),proj2(X1)) = X1
| y(proj12(X1),proj22(X1)) = X1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_45) ).
cnf(i_0_46,plain,
( step(atom(X1),X2) = eps
| X1 != X2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_46) ).
cnf(i_0_23,plain,
atom(X1) != y(X2,X3),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_23) ).
cnf(i_0_24,plain,
star(X1) != atom(X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_24) ).
cnf(i_0_18,plain,
atom(X1) != eps,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_18) ).
cnf(i_0_16,plain,
y(X1,X2) != nil2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_16) ).
cnf(i_0_17,plain,
star(X1) != nil2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_17) ).
cnf(i_0_14,plain,
atom(X1) != nil2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_14) ).
cnf(i_0_19,plain,
x(X1,X2) != eps,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_19) ).
cnf(i_0_52,plain,
( rec(X1,nil)
| ~ eps2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_52) ).
cnf(i_0_50,plain,
( x(y(step(X1,X2),X3),nil2) = step(y(X1,X3),X2)
| eps2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_50) ).
cnf(i_0_48,plain,
x(step(X1,X2),step(X3,X2)) = step(x(X1,X3),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_48) ).
cnf(i_0_38,plain,
( eps2(x(X1,X2))
| ~ eps2(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_38) ).
cnf(i_0_20,plain,
y(X1,X2) != eps,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_20) ).
cnf(i_0_21,plain,
star(X1) != eps,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_21) ).
cnf(i_0_49,plain,
( x(y(step(X1,X2),X3),step(X3,X2)) = step(y(X1,X3),X2)
| ~ eps2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_49) ).
cnf(i_0_37,plain,
eps2(eps),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_37) ).
cnf(i_0_39,plain,
( eps2(x(X1,X2))
| ~ eps2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ckm_26ad/input.p',i_0_39) ).
cnf(c_0_80,negated_conjecture,
~ rec(X1,cons(a,cons(b,cons(b,cons(a,nil))))),
i_0_56 ).
cnf(c_0_81,plain,
( rec(X1,cons(X2,X3))
| ~ rec(step(X1,X2),X3) ),
i_0_54 ).
cnf(c_0_82,negated_conjecture,
~ rec(step(X1,a),cons(b,cons(b,cons(a,nil)))),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_83,plain,
~ rec(step(step(X1,a),b),cons(b,cons(a,nil))),
inference(spm,[status(thm)],[c_0_82,c_0_81]) ).
cnf(c_0_84,plain,
atom(X1) != x(X2,X3),
i_0_22 ).
cnf(c_0_85,plain,
( X1 = eps
| star(proj1Star(X1)) = X1
| x(proj1(X1),proj2(X1)) = X1
| y(proj12(X1),proj22(X1)) = X1
| ~ eps2(X1) ),
i_0_36 ).
cnf(c_0_86,plain,
x(X1,X2) != nil2,
i_0_15 ).
cnf(c_0_87,plain,
( atom(proj1Atom(X1)) = X1
| star(proj1Star(X1)) = X1
| step(X1,X2) = nil2
| x(proj1(X1),proj2(X1)) = X1
| y(proj12(X1),proj22(X1)) = X1 ),
i_0_45 ).
cnf(c_0_88,plain,
~ rec(step(step(step(X1,a),b),b),cons(a,nil)),
inference(spm,[status(thm)],[c_0_83,c_0_81]) ).
cnf(c_0_89,plain,
( step(atom(X1),X2) = eps
| X1 != X2 ),
i_0_46 ).
cnf(c_0_90,plain,
( y(proj12(X1),proj22(X1)) = X1
| star(proj1Star(X1)) = X1
| X1 = eps
| atom(X2) != X1
| ~ eps2(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_91,plain,
atom(X1) != y(X2,X3),
i_0_23 ).
cnf(c_0_92,plain,
star(X1) != atom(X2),
i_0_24 ).
cnf(c_0_93,plain,
atom(X1) != eps,
i_0_18 ).
cnf(c_0_94,plain,
( y(proj12(X1),proj22(X1)) = X1
| step(X1,X2) = nil2
| star(proj1Star(X1)) = X1
| atom(proj1Atom(X1)) = X1
| X1 != nil2 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_95,plain,
y(X1,X2) != nil2,
i_0_16 ).
cnf(c_0_96,plain,
star(X1) != nil2,
i_0_17 ).
cnf(c_0_97,plain,
atom(X1) != nil2,
i_0_14 ).
cnf(c_0_98,plain,
x(X1,X2) != eps,
i_0_19 ).
cnf(c_0_99,plain,
~ rec(step(step(step(step(X1,a),b),b),a),nil),
inference(spm,[status(thm)],[c_0_88,c_0_81]) ).
cnf(c_0_100,plain,
( rec(X1,nil)
| ~ eps2(X1) ),
i_0_52 ).
cnf(c_0_101,plain,
( x(y(step(X1,X2),X3),nil2) = step(y(X1,X3),X2)
| eps2(X1) ),
i_0_50 ).
cnf(c_0_102,plain,
step(atom(X1),X1) = eps,
inference(er,[status(thm)],[c_0_89]) ).
cnf(c_0_103,plain,
~ eps2(atom(X1)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_90]),c_0_91]),c_0_92]),c_0_93]) ).
cnf(c_0_104,plain,
x(step(X1,X2),step(X3,X2)) = step(x(X1,X3),X2),
i_0_48 ).
cnf(c_0_105,plain,
step(nil2,X1) = nil2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_94]),c_0_95]),c_0_96]),c_0_97]) ).
cnf(c_0_106,plain,
( eps2(x(X1,X2))
| ~ eps2(X2) ),
i_0_38 ).
cnf(c_0_107,plain,
( y(proj12(X1),proj22(X1)) = X1
| step(X1,X2) = nil2
| star(proj1Star(X1)) = X1
| atom(proj1Atom(X1)) = X1
| X1 != eps ),
inference(spm,[status(thm)],[c_0_98,c_0_87]) ).
cnf(c_0_108,plain,
y(X1,X2) != eps,
i_0_20 ).
cnf(c_0_109,plain,
star(X1) != eps,
i_0_21 ).
cnf(c_0_110,plain,
~ eps2(step(step(step(step(X1,a),b),b),a)),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_111,plain,
step(y(atom(X1),X2),X1) = x(y(eps,X2),nil2),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_112,plain,
step(x(X1,nil2),X2) = x(step(X1,X2),nil2),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_113,plain,
( eps2(step(x(X1,X2),X3))
| ~ eps2(step(X2,X3)) ),
inference(spm,[status(thm)],[c_0_106,c_0_104]) ).
cnf(c_0_114,plain,
( x(y(step(X1,X2),X3),step(X3,X2)) = step(y(X1,X3),X2)
| ~ eps2(X1) ),
i_0_49 ).
cnf(c_0_115,plain,
step(eps,X1) = nil2,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_107]),c_0_108]),c_0_109]),c_0_93]) ).
cnf(c_0_116,plain,
eps2(eps),
i_0_37 ).
cnf(c_0_117,plain,
~ eps2(x(step(step(step(y(eps,X1),b),b),a),nil2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_112]),c_0_112]) ).
cnf(c_0_118,plain,
( eps2(x(X1,X2))
| ~ eps2(X1) ),
i_0_39 ).
cnf(c_0_119,plain,
( eps2(step(step(x(X1,X2),X3),X4))
| ~ eps2(step(step(X2,X3),X4)) ),
inference(spm,[status(thm)],[c_0_113,c_0_104]) ).
cnf(c_0_120,plain,
x(y(nil2,X1),step(X1,X2)) = step(y(eps,X1),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116])]) ).
cnf(c_0_121,plain,
~ eps2(step(step(step(y(eps,X1),b),b),a)),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,plain,
( eps2(step(step(step(y(eps,X1),X2),X3),X4))
| ~ eps2(step(step(step(X1,X2),X3),X4)) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_123,plain,
~ eps2(step(step(step(X1,b),b),a)),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_124,plain,
~ eps2(x(step(step(y(eps,X1),b),a),nil2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_111]),c_0_112]),c_0_112]) ).
cnf(c_0_125,plain,
~ eps2(step(step(y(eps,X1),b),a)),
inference(spm,[status(thm)],[c_0_124,c_0_118]) ).
cnf(c_0_126,plain,
( eps2(step(step(y(X1,X2),X3),X4))
| ~ eps2(step(step(X2,X3),X4))
| ~ eps2(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_127,plain,
( eps2(step(x(X1,X2),X3))
| ~ eps2(step(X1,X3)) ),
inference(spm,[status(thm)],[c_0_118,c_0_104]) ).
cnf(c_0_128,plain,
~ eps2(step(step(X1,b),a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_116])]) ).
cnf(c_0_129,plain,
( eps2(step(step(y(X1,X2),X3),X4))
| eps2(X1)
| ~ eps2(step(y(step(X1,X3),X2),X4)) ),
inference(spm,[status(thm)],[c_0_127,c_0_101]) ).
cnf(c_0_130,plain,
( x(y(step(X1,X2),atom(X2)),eps) = step(y(X1,atom(X2)),X2)
| ~ eps2(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_102]) ).
cnf(c_0_131,plain,
( eps2(X1)
| ~ eps2(step(y(step(X1,b),X2),a)) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_132,plain,
( eps2(step(y(X1,atom(X2)),X2))
| ~ eps2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_130]),c_0_116])]) ).
cnf(c_0_133,plain,
( eps2(X1)
| ~ eps2(step(X1,b)) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_134,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_102]),c_0_116])]),c_0_103]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX210+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.33 % Computer : n005.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 11:45:32 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 267.47/35.10 # ENIGMATIC: Solved by eprover17:
% 267.47/35.10 # Preprocessing time : 0.011 s
% 267.47/35.10
% 267.47/35.10 # Proof found!
% 267.47/35.10 # SZS status Theorem
% 267.47/35.10 # SZS output start CNFRefutation
% See solution above
% 267.47/35.10 # Training examples: 0 positive, 0 negative
% 267.47/35.10
% 267.47/35.10 # -------------------------------------------------
% 267.47/35.10 # User time : 5.942 s
% 267.47/35.10 # System time : 0.103 s
% 267.47/35.10 # Total time : 6.044 s
% 267.47/35.10 # ...preprocessing : 0.011 s
% 267.47/35.10 # ...main loop : 6.034 s
% 267.47/35.10 # Maximum resident set size: 134764 pages
% 267.47/35.10
%------------------------------------------------------------------------------