TSTP Solution File: ALG031+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG031+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 14:44:13 EDT 2022
% Result : Theorem 9.27s 2.55s
% Output : CNFRefutation 9.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 28
% Syntax : Number of clauses : 83 ( 61 unt; 22 nHn; 83 RR)
% Number of literals : 165 ( 156 equ; 24 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_186,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_186) ).
cnf(i_0_138,plain,
op2(e20,e20) = e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_138) ).
cnf(i_0_229,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_229) ).
cnf(i_0_223,negated_conjecture,
epred1_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_223) ).
cnf(i_0_67,plain,
op1(e15,e15) = e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_67) ).
cnf(i_0_4,plain,
e15 != e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_4) ).
cnf(i_0_74,plain,
op1(e14,e14) = e13,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_74) ).
cnf(i_0_3,plain,
e14 != e13,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_3) ).
cnf(i_0_81,plain,
op1(e13,e13) = e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_81) ).
cnf(i_0_6,plain,
e13 != e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_6) ).
cnf(i_0_88,plain,
op1(e12,e12) = e13,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_88) ).
cnf(i_0_150,negated_conjecture,
h(j(e20)) = e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_150) ).
cnf(i_0_95,plain,
op1(e11,e11) = e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_95) ).
cnf(i_0_15,plain,
e11 != e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_15) ).
cnf(i_0_172,negated_conjecture,
op1(j(e22),j(e22)) = j(op2(e22,e22)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_172) ).
cnf(i_0_124,plain,
op2(e22,e22) = e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_124) ).
cnf(i_0_144,negated_conjecture,
j(h(e10)) = e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_144) ).
cnf(i_0_151,negated_conjecture,
op1(j(e25),j(e25)) = j(op2(e25,e25)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_151) ).
cnf(i_0_103,plain,
op2(e25,e25) = e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_103) ).
cnf(i_0_227,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_227) ).
cnf(i_0_224,plain,
( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_224) ).
cnf(i_0_14,plain,
e12 != e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_14) ).
cnf(i_0_13,plain,
e13 != e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_13) ).
cnf(i_0_148,negated_conjecture,
h(j(e22)) = e22,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_148) ).
cnf(i_0_29,plain,
e22 != e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_29) ).
cnf(i_0_145,negated_conjecture,
h(j(e25)) = e25,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_145) ).
cnf(i_0_26,plain,
e25 != e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_26) ).
cnf(i_0_19,plain,
e25 != e22,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2hk1xgiw/lgb.p',i_0_19) ).
cnf(c_0_258,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
i_0_186 ).
cnf(c_0_259,plain,
op2(e20,e20) = e20,
i_0_138 ).
cnf(c_0_260,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| ~ epred1_0 ),
i_0_229 ).
cnf(c_0_261,negated_conjecture,
epred1_0,
i_0_223 ).
cnf(c_0_262,negated_conjecture,
op1(j(e20),j(e20)) = j(e20),
inference(rw,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_263,plain,
( j(e20) = e15
| j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e10
| j(e20) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_261])]) ).
cnf(c_0_264,plain,
op1(e15,e15) = e12,
i_0_67 ).
cnf(c_0_265,plain,
e15 != e12,
i_0_4 ).
cnf(c_0_266,negated_conjecture,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e10
| j(e20) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_264]),c_0_265]) ).
cnf(c_0_267,plain,
op1(e14,e14) = e13,
i_0_74 ).
cnf(c_0_268,plain,
e14 != e13,
i_0_3 ).
cnf(c_0_269,negated_conjecture,
( j(e20) = e11
| j(e20) = e10
| j(e20) = e12
| j(e20) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_266]),c_0_267]),c_0_268]) ).
cnf(c_0_270,plain,
op1(e13,e13) = e12,
i_0_81 ).
cnf(c_0_271,plain,
e13 != e12,
i_0_6 ).
cnf(c_0_272,negated_conjecture,
( j(e20) = e12
| j(e20) = e10
| j(e20) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_269]),c_0_270]),c_0_271]) ).
cnf(c_0_273,plain,
op1(e12,e12) = e13,
i_0_88 ).
cnf(c_0_274,negated_conjecture,
h(j(e20)) = e20,
i_0_150 ).
cnf(c_0_275,negated_conjecture,
( j(e20) = e11
| j(e20) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_272]),c_0_273]),c_0_271]) ).
cnf(c_0_276,negated_conjecture,
( j(e20) = e11
| h(e10) = e20 ),
inference(spm,[status(thm)],[c_0_274,c_0_275]) ).
cnf(c_0_277,plain,
op1(e11,e11) = e10,
i_0_95 ).
cnf(c_0_278,plain,
e11 != e10,
i_0_15 ).
cnf(c_0_279,negated_conjecture,
op1(j(e22),j(e22)) = j(op2(e22,e22)),
i_0_172 ).
cnf(c_0_280,plain,
op2(e22,e22) = e20,
i_0_124 ).
cnf(c_0_281,negated_conjecture,
j(h(e10)) = e10,
i_0_144 ).
cnf(c_0_282,negated_conjecture,
h(e10) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_276]),c_0_277]),c_0_278]) ).
cnf(c_0_283,negated_conjecture,
op1(j(e25),j(e25)) = j(op2(e25,e25)),
i_0_151 ).
cnf(c_0_284,plain,
op2(e25,e25) = e20,
i_0_103 ).
cnf(c_0_285,negated_conjecture,
op1(j(e22),j(e22)) = j(e20),
inference(rw,[status(thm)],[c_0_279,c_0_280]) ).
cnf(c_0_286,negated_conjecture,
j(e20) = e10,
inference(rw,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_287,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15
| ~ epred1_0 ),
i_0_227 ).
cnf(c_0_288,negated_conjecture,
op1(j(e25),j(e25)) = j(e20),
inference(rw,[status(thm)],[c_0_283,c_0_284]) ).
cnf(c_0_289,plain,
( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15
| ~ epred1_0 ),
i_0_224 ).
cnf(c_0_290,negated_conjecture,
op1(j(e22),j(e22)) = e10,
inference(rw,[status(thm)],[c_0_285,c_0_286]) ).
cnf(c_0_291,plain,
( j(e22) = e15
| j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e10
| j(e22) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_261])]) ).
cnf(c_0_292,plain,
e12 != e10,
i_0_14 ).
cnf(c_0_293,negated_conjecture,
op1(j(e25),j(e25)) = e10,
inference(rw,[status(thm)],[c_0_288,c_0_286]) ).
cnf(c_0_294,plain,
( j(e25) = e15
| j(e25) = e14
| j(e25) = e13
| j(e25) = e12
| j(e25) = e10
| j(e25) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_261])]) ).
cnf(c_0_295,plain,
( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e10
| j(e22) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_264]),c_0_292]) ).
cnf(c_0_296,plain,
e13 != e10,
i_0_13 ).
cnf(c_0_297,plain,
( j(e25) = e14
| j(e25) = e13
| j(e25) = e12
| j(e25) = e10
| j(e25) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_264]),c_0_292]) ).
cnf(c_0_298,negated_conjecture,
( j(e22) = e11
| j(e22) = e10
| j(e22) = e12
| j(e22) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_295]),c_0_267]),c_0_296]) ).
cnf(c_0_299,negated_conjecture,
( j(e25) = e11
| j(e25) = e10
| j(e25) = e12
| j(e25) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_297]),c_0_267]),c_0_296]) ).
cnf(c_0_300,negated_conjecture,
( j(e22) = e12
| j(e22) = e10
| j(e22) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_298]),c_0_270]),c_0_292]) ).
cnf(c_0_301,negated_conjecture,
( j(e25) = e12
| j(e25) = e10
| j(e25) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_299]),c_0_270]),c_0_292]) ).
cnf(c_0_302,negated_conjecture,
h(j(e22)) = e22,
i_0_148 ).
cnf(c_0_303,negated_conjecture,
( j(e22) = e11
| j(e22) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_300]),c_0_273]),c_0_296]) ).
cnf(c_0_304,plain,
e22 != e20,
i_0_29 ).
cnf(c_0_305,negated_conjecture,
h(j(e25)) = e25,
i_0_145 ).
cnf(c_0_306,negated_conjecture,
( j(e25) = e11
| j(e25) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_301]),c_0_273]),c_0_296]) ).
cnf(c_0_307,plain,
e25 != e20,
i_0_26 ).
cnf(c_0_308,negated_conjecture,
j(e22) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_282]),c_0_304]) ).
cnf(c_0_309,negated_conjecture,
j(e25) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_282]),c_0_307]) ).
cnf(c_0_310,negated_conjecture,
h(e11) = e22,
inference(rw,[status(thm)],[c_0_302,c_0_308]) ).
cnf(c_0_311,plain,
e25 != e22,
i_0_19 ).
cnf(c_0_312,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_309]),c_0_310]),c_0_311]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG031+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n021.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 : Wed Jun 8 18:07:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.27/2.55 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.27/2.55 # No SInE strategy applied
% 9.27/2.55 # Trying AutoSched0 for 150 seconds
% 9.27/2.55 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S053A
% 9.27/2.55 # and selection function HSelectMinInfpos.
% 9.27/2.55 #
% 9.27/2.55 # Preprocessing time : 0.025 s
% 9.27/2.55 # Presaturation interreduction done
% 9.27/2.55
% 9.27/2.55 # Proof found!
% 9.27/2.55 # SZS status Theorem
% 9.27/2.55 # SZS output start CNFRefutation
% See solution above
% 9.27/2.55 # Training examples: 0 positive, 0 negative
% 9.27/2.55
% 9.27/2.55 # -------------------------------------------------
% 9.27/2.55 # User time : 0.037 s
% 9.27/2.55 # System time : 0.006 s
% 9.27/2.55 # Total time : 0.043 s
% 9.27/2.55 # Maximum resident set size: 7128 pages
% 9.27/2.55
%------------------------------------------------------------------------------