%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC285+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 : Tue Jul 19 20:14:45 EDT 2022
% Result : Theorem 8.30s 2.45s
% Output : CNFRefutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 39
% Syntax : Number of clauses : 129 ( 39 unt; 17 nHn; 129 RR)
% Number of literals : 334 ( 85 equ; 195 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 127 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_130,plain,
( rearsegP(X1,X2)
| app(X3,X2) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_130) ).
cnf(i_0_58,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_58) ).
cnf(i_0_197,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_197) ).
cnf(i_0_202,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_202) ).
cnf(i_0_198,negated_conjecture,
ssList(esk54_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_198) ).
cnf(i_0_155,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_155) ).
cnf(i_0_199,negated_conjecture,
ssList(esk53_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_199) ).
cnf(i_0_43,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_43) ).
cnf(i_0_200,negated_conjecture,
ssItem(esk52_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_200) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_44) ).
cnf(i_0_207,negated_conjecture,
ssList(esk48_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_207) ).
cnf(i_0_113,plain,
( frontsegP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_113) ).
cnf(i_0_154,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_154) ).
cnf(i_0_73,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ memberP(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_73) ).
cnf(i_0_195,negated_conjecture,
( memberP(esk53_0,esk55_0)
| memberP(esk54_0,esk55_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_195) ).
cnf(i_0_196,negated_conjecture,
ssItem(esk55_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_196) ).
cnf(i_0_131,plain,
( app(esk33_2(X1,X2),X2) = X1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ rearsegP(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_131) ).
cnf(i_0_132,plain,
( ssList(esk33_2(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ rearsegP(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_132) ).
cnf(i_0_74,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ memberP(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_74) ).
cnf(i_0_114,plain,
( app(X1,esk32_2(X2,X1)) = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_114) ).
cnf(i_0_115,plain,
( ssList(esk32_2(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_115) ).
cnf(i_0_81,plain,
( memberP(X1,X2)
| app(X3,cons(X2,X4)) != X1
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_81) ).
cnf(i_0_78,plain,
( X1 = X2
| memberP(X3,X2)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(cons(X1,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_78) ).
cnf(i_0_99,plain,
( cons(esk31_1(X1),nil) = X1
| ~ ssList(X1)
| ~ singletonP(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_99) ).
cnf(i_0_100,plain,
( ssItem(esk31_1(X1))
| ~ ssList(X1)
| ~ singletonP(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_100) ).
cnf(i_0_79,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_79) ).
cnf(i_0_191,negated_conjecture,
( singletonP(esk50_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_191) ).
cnf(i_0_41,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_41) ).
cnf(i_0_204,negated_conjecture,
ssList(esk51_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_204) ).
cnf(i_0_153,plain,
( X1 = X2
| app(X3,X1) != app(X3,X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_153) ).
cnf(i_0_159,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_159) ).
cnf(i_0_148,plain,
( X1 = X2
| app(X1,X3) != app(X2,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_148) ).
cnf(i_0_106,plain,
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X2,X1)
| ~ segmentP(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_106) ).
cnf(i_0_201,negated_conjecture,
segmentP(esk51_0,esk50_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_201) ).
cnf(i_0_157,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_157) ).
cnf(i_0_109,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_109) ).
cnf(i_0_53,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_53) ).
cnf(i_0_192,negated_conjecture,
( ~ leq(esk52_0,esk55_0)
| ~ leq(esk55_0,esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_192) ).
cnf(i_0_66,plain,
( leq(X1,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0zg8_j5u/lgb.p',i_0_66) ).
cnf(c_0_247,plain,
( rearsegP(X1,X2)
| app(X3,X2) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
i_0_130 ).
cnf(c_0_248,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_58 ).
cnf(c_0_249,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
i_0_197 ).
cnf(c_0_250,negated_conjecture,
esk50_0 = esk48_0,
i_0_202 ).
cnf(c_0_251,plain,
( rearsegP(app(X1,X2),X2)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_247]),c_0_248]) ).
cnf(c_0_252,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk50_0,
inference(rw,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_253,negated_conjecture,
ssList(esk54_0),
i_0_198 ).
cnf(c_0_254,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_155 ).
cnf(c_0_255,negated_conjecture,
ssList(esk53_0),
i_0_199 ).
cnf(c_0_256,negated_conjecture,
( rearsegP(esk50_0,esk54_0)
| ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253])]) ).
cnf(c_0_257,negated_conjecture,
( app(esk53_0,app(cons(esk52_0,nil),esk54_0)) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_254]),c_0_253]),c_0_255])]) ).
cnf(c_0_258,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_43 ).
cnf(c_0_259,negated_conjecture,
ssItem(esk52_0),
i_0_200 ).
cnf(c_0_260,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_261,plain,
( rearsegP(esk50_0,esk54_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_248]),c_0_255])]) ).
cnf(c_0_262,negated_conjecture,
ssList(esk48_0),
i_0_207 ).
cnf(c_0_263,plain,
( frontsegP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
i_0_113 ).
cnf(c_0_264,plain,
app(esk53_0,app(cons(esk52_0,nil),esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_259]),c_0_260])]) ).
cnf(c_0_265,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_266,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ memberP(X2,X3) ),
i_0_73 ).
cnf(c_0_267,negated_conjecture,
( memberP(esk53_0,esk55_0)
| memberP(esk54_0,esk55_0) ),
i_0_195 ).
cnf(c_0_268,negated_conjecture,
ssItem(esk55_0),
i_0_196 ).
cnf(c_0_269,plain,
( app(esk33_2(X1,X2),X2) = X1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ rearsegP(X1,X2) ),
i_0_131 ).
cnf(c_0_270,plain,
rearsegP(esk50_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_258]),c_0_259]),c_0_260])]) ).
cnf(c_0_271,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_262,c_0_250]) ).
cnf(c_0_272,plain,
( ssList(esk33_2(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ rearsegP(X1,X2) ),
i_0_132 ).
cnf(c_0_273,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_263]),c_0_248]) ).
cnf(c_0_274,plain,
app(esk53_0,cons(esk52_0,esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_259]),c_0_253])]) ).
cnf(c_0_275,negated_conjecture,
( memberP(app(X1,esk54_0),esk55_0)
| memberP(esk53_0,esk55_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268]),c_0_253])]) ).
cnf(c_0_276,plain,
app(esk33_2(esk50_0,esk54_0),esk54_0) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_253]),c_0_271])]) ).
cnf(c_0_277,plain,
ssList(esk33_2(esk50_0,esk54_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_270]),c_0_253]),c_0_271])]) ).
cnf(c_0_278,plain,
( frontsegP(esk50_0,esk53_0)
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_255])]) ).
cnf(c_0_279,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ memberP(X1,X3) ),
i_0_74 ).
cnf(c_0_280,plain,
( memberP(esk53_0,esk55_0)
| memberP(esk50_0,esk55_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277])]) ).
cnf(c_0_281,plain,
( app(X1,esk32_2(X2,X1)) = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1) ),
i_0_114 ).
cnf(c_0_282,plain,
frontsegP(esk50_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_258]),c_0_259]),c_0_253])]) ).
cnf(c_0_283,plain,
( ssList(esk32_2(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X1,X2) ),
i_0_115 ).
cnf(c_0_284,plain,
( memberP(X1,X2)
| app(X3,cons(X2,X4)) != X1
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2) ),
i_0_81 ).
cnf(c_0_285,plain,
( X1 = X2
| memberP(X3,X2)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(cons(X1,X3),X2) ),
i_0_78 ).
cnf(c_0_286,plain,
( cons(esk31_1(X1),nil) = X1
| ~ ssList(X1)
| ~ singletonP(X1) ),
i_0_99 ).
cnf(c_0_287,plain,
( ssItem(esk31_1(X1))
| ~ ssList(X1)
| ~ singletonP(X1) ),
i_0_100 ).
cnf(c_0_288,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
i_0_79 ).
cnf(c_0_289,plain,
( memberP(app(esk53_0,X1),esk55_0)
| memberP(esk50_0,esk55_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_268]),c_0_255])]) ).
cnf(c_0_290,plain,
app(esk53_0,esk32_2(esk50_0,esk53_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_271]),c_0_255])]) ).
cnf(c_0_291,plain,
ssList(esk32_2(esk50_0,esk53_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_282]),c_0_255]),c_0_271])]) ).
cnf(c_0_292,plain,
( memberP(app(X1,cons(X2,X3)),X2)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_284]) ).
cnf(c_0_293,plain,
( rearsegP(esk50_0,cons(esk52_0,esk54_0))
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_274]),c_0_255])]) ).
cnf(c_0_294,plain,
( esk31_1(X1) = X2
| ~ singletonP(X1)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ memberP(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_260])]),c_0_287]),c_0_288]) ).
cnf(c_0_295,plain,
memberP(esk50_0,esk55_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291])]) ).
cnf(c_0_296,negated_conjecture,
( singletonP(esk50_0)
| ~ neq(esk51_0,nil) ),
i_0_191 ).
cnf(c_0_297,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_41 ).
cnf(c_0_298,negated_conjecture,
ssList(esk51_0),
i_0_204 ).
cnf(c_0_299,plain,
memberP(esk50_0,esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_274]),c_0_259]),c_0_271]),c_0_253]),c_0_255])]) ).
cnf(c_0_300,plain,
rearsegP(esk50_0,cons(esk52_0,esk54_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_258]),c_0_259]),c_0_253])]) ).
cnf(c_0_301,plain,
( esk31_1(esk50_0) = esk55_0
| ~ singletonP(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_268]),c_0_271])]) ).
cnf(c_0_302,negated_conjecture,
( esk51_0 = nil
| singletonP(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_260]),c_0_298])]) ).
cnf(c_0_303,plain,
( esk31_1(esk50_0) = esk52_0
| ~ singletonP(esk50_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_299]),c_0_259]),c_0_271])]) ).
cnf(c_0_304,plain,
( X1 = X2
| app(X3,X1) != app(X3,X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
i_0_153 ).
cnf(c_0_305,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
i_0_159 ).
cnf(c_0_306,plain,
( app(esk33_2(esk50_0,cons(esk52_0,esk54_0)),cons(esk52_0,esk54_0)) = esk50_0
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_300]),c_0_271])]) ).
cnf(c_0_307,plain,
( ssList(esk33_2(esk50_0,cons(esk52_0,esk54_0)))
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_300]),c_0_271])]) ).
cnf(c_0_308,plain,
( X1 = X2
| app(X1,X3) != app(X2,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
i_0_148 ).
cnf(c_0_309,plain,
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X2,X1)
| ~ segmentP(X1,X2) ),
i_0_106 ).
cnf(c_0_310,negated_conjecture,
segmentP(esk51_0,esk50_0),
i_0_201 ).
cnf(c_0_311,negated_conjecture,
( esk31_1(esk50_0) = esk55_0
| esk51_0 = nil ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_312,negated_conjecture,
( esk31_1(esk50_0) = esk52_0
| esk51_0 = nil ),
inference(spm,[status(thm)],[c_0_303,c_0_302]) ).
cnf(c_0_313,plain,
( X1 = nil
| app(X2,X1) != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_260])]) ).
cnf(c_0_314,plain,
app(esk33_2(esk50_0,cons(esk52_0,esk54_0)),cons(esk52_0,esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_258]),c_0_259]),c_0_253])]) ).
cnf(c_0_315,plain,
ssList(esk33_2(esk50_0,cons(esk52_0,esk54_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_258]),c_0_259]),c_0_253])]) ).
cnf(c_0_316,plain,
( X1 = esk53_0
| app(X1,cons(esk52_0,esk54_0)) != esk50_0
| ~ ssList(cons(esk52_0,esk54_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_274]),c_0_255])]) ).
cnf(c_0_317,negated_conjecture,
( esk51_0 = esk50_0
| ~ segmentP(esk50_0,esk51_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_298]),c_0_271])]) ).
cnf(c_0_318,negated_conjecture,
( esk51_0 = nil
| esk52_0 = esk55_0 ),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_319,plain,
( cons(esk52_0,esk54_0) = nil
| esk33_2(esk50_0,cons(esk52_0,esk54_0)) != esk50_0
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315])]) ).
cnf(c_0_320,plain,
( X1 = esk53_0
| app(X1,cons(esk52_0,esk54_0)) != esk50_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_258]),c_0_259]),c_0_253])]) ).
cnf(c_0_321,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_157 ).
cnf(c_0_322,negated_conjecture,
( esk52_0 = esk55_0
| esk50_0 = nil
| ~ segmentP(esk50_0,nil) ),
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
cnf(c_0_323,plain,
( segmentP(X1,nil)
| ~ ssList(X1) ),
i_0_109 ).
cnf(c_0_324,plain,
( cons(esk52_0,esk54_0) = nil
| esk33_2(esk50_0,cons(esk52_0,esk54_0)) != esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_258]),c_0_259]),c_0_253])]) ).
cnf(c_0_325,plain,
esk33_2(esk50_0,cons(esk52_0,esk54_0)) = esk53_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_314]),c_0_315])]) ).
cnf(c_0_326,plain,
( esk53_0 = nil
| esk50_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_290]),c_0_291]),c_0_255])]) ).
cnf(c_0_327,plain,
( esk50_0 = nil
| esk52_0 = esk55_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_271])]) ).
cnf(c_0_328,plain,
( cons(esk52_0,esk54_0) = nil
| esk53_0 != esk50_0 ),
inference(rw,[status(thm)],[c_0_324,c_0_325]) ).
cnf(c_0_329,plain,
( esk52_0 = esk55_0
| esk53_0 = nil ),
inference(spm,[status(thm)],[c_0_326,c_0_327]) ).
cnf(c_0_330,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_53 ).
cnf(c_0_331,plain,
( cons(esk52_0,esk54_0) = nil
| esk52_0 = esk55_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_327]) ).
cnf(c_0_332,negated_conjecture,
( ~ leq(esk52_0,esk55_0)
| ~ leq(esk55_0,esk52_0) ),
i_0_192 ).
cnf(c_0_333,plain,
esk52_0 = esk55_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_259]),c_0_253])]) ).
cnf(c_0_334,negated_conjecture,
~ leq(esk55_0,esk55_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_333]),c_0_333])]) ).
cnf(c_0_335,plain,
( leq(X1,X1)
| ~ ssItem(X1) ),
i_0_66 ).
cnf(c_0_336,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_268])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC285+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n015.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 : Sun Jun 12 04:52:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.30/2.45 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.30/2.45 # No SInE strategy applied
% 8.30/2.45 # Trying AutoSched0 for 150 seconds
% 8.30/2.45 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 8.30/2.45 # and selection function SelectNewComplexAHP.
% 8.30/2.45 #
% 8.30/2.45 # Preprocessing time : 0.026 s
% 8.30/2.45 # Presaturation interreduction done
% 8.30/2.45
% 8.30/2.45 # Proof found!
% 8.30/2.45 # SZS status Theorem
% 8.30/2.45 # SZS output start CNFRefutation
% See solution above
% 8.30/2.45 # Training examples: 0 positive, 0 negative
% 8.30/2.45
% 8.30/2.45 # -------------------------------------------------
% 8.30/2.45 # User time : 0.138 s
% 8.30/2.45 # System time : 0.005 s
% 8.30/2.45 # Total time : 0.143 s
% 8.30/2.45 # Maximum resident set size: 7128 pages
% 8.30/2.45
%------------------------------------------------------------------------------