%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG180+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 : 600s
% DateTime : Thu Jul 14 15:32:43 EDT 2022
% Result : Theorem 7.24s 2.30s
% Output : CNFRefutation 7.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 25
% Syntax : Number of clauses : 66 ( 53 unt; 13 nHn; 66 RR)
% Number of literals : 108 ( 101 equ; 18 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_124,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_124) ).
cnf(i_0_89,plain,
op2(e21,e21) = e21,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_89) ).
cnf(i_0_160,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_160) ).
cnf(i_0_156,negated_conjecture,
epred1_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_156) ).
cnf(i_0_46,plain,
op1(e14,e14) = e11,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_46) ).
cnf(i_0_4,plain,
e14 != e11,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_4) ).
cnf(i_0_52,plain,
op1(e13,e13) = e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_52) ).
cnf(i_0_8,plain,
e13 != e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_8) ).
cnf(i_0_104,negated_conjecture,
h(j(e21)) = e21,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_104) ).
cnf(i_0_64,plain,
op1(e11,e11) = e14,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_64) ).
cnf(i_0_133,negated_conjecture,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_133) ).
cnf(i_0_48,plain,
op1(e14,e12) = e14,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_48) ).
cnf(i_0_70,plain,
op1(e10,e10) = e13,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_70) ).
cnf(i_0_162,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_162) ).
cnf(i_0_74,plain,
op2(e24,e21) = e23,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_74) ).
cnf(i_0_11,plain,
e24 != e23,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_11) ).
cnf(i_0_79,plain,
op2(e23,e21) = e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_79) ).
cnf(i_0_18,plain,
e23 != e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_18) ).
cnf(i_0_84,plain,
op2(e22,e21) = e24,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_84) ).
cnf(i_0_12,plain,
e24 != e22,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_12) ).
cnf(i_0_98,negated_conjecture,
j(h(e12)) = e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_98) ).
cnf(i_0_96,negated_conjecture,
j(h(e14)) = e14,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_96) ).
cnf(i_0_2,plain,
e14 != e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_2) ).
cnf(i_0_94,plain,
op2(e20,e21) = e22,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_94) ).
cnf(i_0_19,plain,
e22 != e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dwk6ru46/input.p',i_0_19) ).
cnf(c_0_188,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
i_0_124 ).
cnf(c_0_189,plain,
op2(e21,e21) = e21,
i_0_89 ).
cnf(c_0_190,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| ~ epred1_0 ),
i_0_160 ).
cnf(c_0_191,negated_conjecture,
epred1_0,
i_0_156 ).
cnf(c_0_192,negated_conjecture,
op1(j(e21),j(e21)) = j(e21),
inference(rw,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_193,plain,
( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191])]) ).
cnf(c_0_194,plain,
op1(e14,e14) = e11,
i_0_46 ).
cnf(c_0_195,plain,
e14 != e11,
i_0_4 ).
cnf(c_0_196,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]),c_0_195]) ).
cnf(c_0_197,plain,
op1(e13,e13) = e10,
i_0_52 ).
cnf(c_0_198,plain,
e13 != e10,
i_0_8 ).
cnf(c_0_199,negated_conjecture,
h(j(e21)) = e21,
i_0_104 ).
cnf(c_0_200,negated_conjecture,
( j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_196]),c_0_197]),c_0_198]) ).
cnf(c_0_201,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| h(e12) = e21 ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_202,plain,
op1(e11,e11) = e14,
i_0_64 ).
cnf(c_0_203,negated_conjecture,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
i_0_133 ).
cnf(c_0_204,plain,
op1(e14,e12) = e14,
i_0_48 ).
cnf(c_0_205,negated_conjecture,
( h(e12) = e21
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_201]),c_0_202]),c_0_195]) ).
cnf(c_0_206,plain,
op1(e10,e10) = e13,
i_0_70 ).
cnf(c_0_207,negated_conjecture,
op2(h(e14),h(e12)) = h(e14),
inference(rw,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_208,negated_conjecture,
h(e12) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_205]),c_0_206]),c_0_198]) ).
cnf(c_0_209,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| ~ epred1_0 ),
i_0_162 ).
cnf(c_0_210,negated_conjecture,
op2(h(e14),e21) = h(e14),
inference(rw,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_211,plain,
( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_191])]) ).
cnf(c_0_212,plain,
op2(e24,e21) = e23,
i_0_74 ).
cnf(c_0_213,plain,
e24 != e23,
i_0_11 ).
cnf(c_0_214,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212]),c_0_213]) ).
cnf(c_0_215,plain,
op2(e23,e21) = e20,
i_0_79 ).
cnf(c_0_216,plain,
e23 != e20,
i_0_18 ).
cnf(c_0_217,negated_conjecture,
( h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_214]),c_0_215]),c_0_216]) ).
cnf(c_0_218,plain,
op2(e22,e21) = e24,
i_0_84 ).
cnf(c_0_219,plain,
e24 != e22,
i_0_12 ).
cnf(c_0_220,negated_conjecture,
j(h(e12)) = e12,
i_0_98 ).
cnf(c_0_221,negated_conjecture,
j(h(e14)) = e14,
i_0_96 ).
cnf(c_0_222,negated_conjecture,
( h(e14) = e20
| h(e14) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_217]),c_0_218]),c_0_219]) ).
cnf(c_0_223,negated_conjecture,
j(e21) = e12,
inference(rw,[status(thm)],[c_0_220,c_0_208]) ).
cnf(c_0_224,plain,
e14 != e12,
i_0_2 ).
cnf(c_0_225,negated_conjecture,
h(e14) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_223]),c_0_224]) ).
cnf(c_0_226,plain,
op2(e20,e21) = e22,
i_0_94 ).
cnf(c_0_227,plain,
e22 != e20,
i_0_19 ).
cnf(c_0_228,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_225]),c_0_226]),c_0_225]),c_0_227]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG180+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 22:11:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.24/2.30 # ENIGMATIC: Solved by autoschedule:
% 7.24/2.30 # No SInE strategy applied
% 7.24/2.30 # Trying AutoSched0 for 150 seconds
% 7.24/2.30 # AutoSched0-Mode selected heuristic G_E___205_C45_F1_AE_CS_SP_PI_S0Y
% 7.24/2.30 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.24/2.30 #
% 7.24/2.30 # Preprocessing time : 0.025 s
% 7.24/2.30
% 7.24/2.30 # Proof found!
% 7.24/2.30 # SZS status Theorem
% 7.24/2.30 # SZS output start CNFRefutation
% See solution above
% 7.24/2.30 # Training examples: 0 positive, 0 negative
% 7.24/2.30
% 7.24/2.30 # -------------------------------------------------
% 7.24/2.30 # User time : 0.035 s
% 7.24/2.30 # System time : 0.002 s
% 7.24/2.30 # Total time : 0.037 s
% 7.24/2.30 # Maximum resident set size: 7120 pages
% 7.24/2.30
%------------------------------------------------------------------------------