TSTP Solution File: SWC412+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC412+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 20:15:32 EDT 2022
% Result : Theorem 8.04s 2.49s
% Output : CNFRefutation 8.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 48
% Syntax : Number of clauses : 129 ( 18 unt; 68 nHn; 129 RR)
% Number of literals : 392 ( 118 equ; 200 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_232,negated_conjecture,
( app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_232) ).
cnf(i_0_242,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_242) ).
cnf(i_0_235,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_235) ).
cnf(i_0_234,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_234) ).
cnf(i_0_233,negated_conjecture,
( ssList(esk60_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_233) ).
cnf(i_0_231,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk48_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_231) ).
cnf(i_0_241,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_241) ).
cnf(i_0_191,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk48_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_191) ).
cnf(i_0_201,negated_conjecture,
( ssList(esk54_0)
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk48_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_201) ).
cnf(i_0_221,negated_conjecture,
( ssItem(esk52_0)
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk48_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_221) ).
cnf(i_0_211,negated_conjecture,
( ssItem(esk53_0)
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk48_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_211) ).
cnf(i_0_200,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk51_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_200) ).
cnf(i_0_192,negated_conjecture,
( app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_192) ).
cnf(i_0_202,negated_conjecture,
( app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0
| ssList(esk54_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_202) ).
cnf(i_0_222,negated_conjecture,
( app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0
| ssItem(esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_222) ).
cnf(i_0_212,negated_conjecture,
( app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0
| ssItem(esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_212) ).
cnf(i_0_195,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssItem(esk58_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_195) ).
cnf(i_0_205,negated_conjecture,
( ssList(esk54_0)
| ssItem(esk58_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_205) ).
cnf(i_0_225,negated_conjecture,
( ssItem(esk52_0)
| ssItem(esk58_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_225) ).
cnf(i_0_215,negated_conjecture,
( ssItem(esk53_0)
| ssItem(esk58_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_215) ).
cnf(i_0_194,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssItem(esk59_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_194) ).
cnf(i_0_204,negated_conjecture,
( ssList(esk54_0)
| ssItem(esk59_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_204) ).
cnf(i_0_224,negated_conjecture,
( ssItem(esk52_0)
| ssItem(esk59_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_224) ).
cnf(i_0_214,negated_conjecture,
( ssItem(esk53_0)
| ssItem(esk59_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_214) ).
cnf(i_0_193,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssList(esk60_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_193) ).
cnf(i_0_203,negated_conjecture,
( ssList(esk54_0)
| ssList(esk60_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_203) ).
cnf(i_0_223,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_223) ).
cnf(i_0_213,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_213) ).
cnf(i_0_220,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| ssItem(esk53_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk51_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_220) ).
cnf(i_0_230,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| ssItem(esk52_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk51_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_230) ).
cnf(i_0_210,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| ssList(esk54_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk51_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_210) ).
cnf(i_0_240,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk51_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk51_0
| ~ ssList(X6)
| ~ ssList(X2)
| ~ ssItem(X5)
| ~ ssItem(X4)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_240) ).
cnf(i_0_236,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_236) ).
cnf(i_0_238,negated_conjecture,
( ssItem(esk56_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_238) ).
cnf(i_0_239,negated_conjecture,
( ssItem(esk55_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_239) ).
cnf(i_0_237,negated_conjecture,
( ssList(esk57_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_237) ).
cnf(i_0_198,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssItem(esk56_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_198) ).
cnf(i_0_208,negated_conjecture,
( ssList(esk54_0)
| ssItem(esk56_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_208) ).
cnf(i_0_228,negated_conjecture,
( ssItem(esk52_0)
| ssItem(esk56_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_228) ).
cnf(i_0_218,negated_conjecture,
( ssItem(esk53_0)
| ssItem(esk56_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_218) ).
cnf(i_0_199,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssItem(esk55_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_199) ).
cnf(i_0_209,negated_conjecture,
( ssList(esk54_0)
| ssItem(esk55_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_209) ).
cnf(i_0_229,negated_conjecture,
( ssItem(esk52_0)
| ssItem(esk55_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_229) ).
cnf(i_0_219,negated_conjecture,
( ssItem(esk53_0)
| ssItem(esk55_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_219) ).
cnf(i_0_197,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssList(esk57_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_197) ).
cnf(i_0_207,negated_conjecture,
( ssList(esk54_0)
| ssList(esk57_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_207) ).
cnf(i_0_227,negated_conjecture,
( ssList(esk57_0)
| ssItem(esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_227) ).
cnf(i_0_217,negated_conjecture,
( ssList(esk57_0)
| ssItem(esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-kzpk59nx/input.p',i_0_217) ).
cnf(c_0_291,negated_conjecture,
( app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_232 ).
cnf(c_0_292,negated_conjecture,
esk49_0 = esk51_0,
i_0_242 ).
cnf(c_0_293,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_235 ).
cnf(c_0_294,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_234 ).
cnf(c_0_295,negated_conjecture,
( ssList(esk60_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_233 ).
cnf(c_0_296,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk48_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_231 ).
cnf(c_0_297,negated_conjecture,
esk50_0 = esk48_0,
i_0_241 ).
cnf(c_0_298,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk48_0 ),
i_0_191 ).
cnf(c_0_299,negated_conjecture,
( ssList(esk54_0)
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk48_0 ),
i_0_201 ).
cnf(c_0_300,negated_conjecture,
( ssItem(esk52_0)
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk48_0 ),
i_0_221 ).
cnf(c_0_301,negated_conjecture,
( ssItem(esk53_0)
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk48_0 ),
i_0_211 ).
cnf(c_0_302,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk51_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
i_0_200 ).
cnf(c_0_303,negated_conjecture,
( app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_291,c_0_292]) ).
cnf(c_0_304,negated_conjecture,
( app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 ),
i_0_192 ).
cnf(c_0_305,negated_conjecture,
( app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0
| ssList(esk54_0) ),
i_0_202 ).
cnf(c_0_306,negated_conjecture,
( app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0
| ssItem(esk52_0) ),
i_0_222 ).
cnf(c_0_307,negated_conjecture,
( app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0
| ssItem(esk53_0) ),
i_0_212 ).
cnf(c_0_308,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_293,c_0_292]) ).
cnf(c_0_309,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssItem(esk58_0) ),
i_0_195 ).
cnf(c_0_310,negated_conjecture,
( ssList(esk54_0)
| ssItem(esk58_0) ),
i_0_205 ).
cnf(c_0_311,negated_conjecture,
( ssItem(esk52_0)
| ssItem(esk58_0) ),
i_0_225 ).
cnf(c_0_312,negated_conjecture,
( ssItem(esk53_0)
| ssItem(esk58_0) ),
i_0_215 ).
cnf(c_0_313,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_294,c_0_292]) ).
cnf(c_0_314,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssItem(esk59_0) ),
i_0_194 ).
cnf(c_0_315,negated_conjecture,
( ssList(esk54_0)
| ssItem(esk59_0) ),
i_0_204 ).
cnf(c_0_316,negated_conjecture,
( ssItem(esk52_0)
| ssItem(esk59_0) ),
i_0_224 ).
cnf(c_0_317,negated_conjecture,
( ssItem(esk53_0)
| ssItem(esk59_0) ),
i_0_214 ).
cnf(c_0_318,negated_conjecture,
( ssList(esk60_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_295,c_0_292]) ).
cnf(c_0_319,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssList(esk60_0) ),
i_0_193 ).
cnf(c_0_320,negated_conjecture,
( ssList(esk54_0)
| ssList(esk60_0) ),
i_0_203 ).
cnf(c_0_321,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk52_0) ),
i_0_223 ).
cnf(c_0_322,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk53_0) ),
i_0_213 ).
cnf(c_0_323,negated_conjecture,
( app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk50_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_292]),c_0_297]) ).
cnf(c_0_324,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk50_0 ),
inference(rw,[status(thm)],[c_0_298,c_0_297]) ).
cnf(c_0_325,negated_conjecture,
( ssList(esk54_0)
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk50_0 ),
inference(rw,[status(thm)],[c_0_299,c_0_297]) ).
cnf(c_0_326,negated_conjecture,
( ssItem(esk52_0)
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk50_0 ),
inference(rw,[status(thm)],[c_0_300,c_0_297]) ).
cnf(c_0_327,negated_conjecture,
( ssItem(esk53_0)
| app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk50_0 ),
inference(rw,[status(thm)],[c_0_301,c_0_297]) ).
cnf(c_0_328,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| ssItem(esk53_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk51_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
i_0_220 ).
cnf(c_0_329,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| ssItem(esk52_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk51_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
i_0_230 ).
cnf(c_0_330,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| ssList(esk54_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk51_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
i_0_210 ).
cnf(c_0_331,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk51_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk51_0
| ~ ssList(X6)
| ~ ssList(X2)
| ~ ssItem(X5)
| ~ ssItem(X4)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
i_0_240 ).
cnf(c_0_332,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_236 ).
cnf(c_0_333,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk49_0
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(rw,[status(thm)],[c_0_302,c_0_292]) ).
cnf(c_0_334,negated_conjecture,
app(app(cons(esk58_0,nil),esk60_0),cons(esk59_0,nil)) = esk49_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_305]),c_0_306]),c_0_307]) ).
cnf(c_0_335,negated_conjecture,
ssItem(esk58_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_310]),c_0_311]),c_0_312]) ).
cnf(c_0_336,negated_conjecture,
ssItem(esk59_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315]),c_0_316]),c_0_317]) ).
cnf(c_0_337,negated_conjecture,
ssList(esk60_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_320]),c_0_321]),c_0_322]) ).
cnf(c_0_338,negated_conjecture,
app(app(cons(esk59_0,nil),esk60_0),cons(esk58_0,nil)) != esk50_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_325]),c_0_326]),c_0_327]) ).
cnf(c_0_339,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| ssItem(esk53_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk49_0
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(rw,[status(thm)],[c_0_328,c_0_292]) ).
cnf(c_0_340,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| ssItem(esk52_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk49_0
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(rw,[status(thm)],[c_0_329,c_0_292]) ).
cnf(c_0_341,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| ssList(esk54_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk49_0
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(rw,[status(thm)],[c_0_330,c_0_292]) ).
cnf(c_0_342,negated_conjecture,
( ssItem(esk56_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_238 ).
cnf(c_0_343,negated_conjecture,
( ssItem(esk55_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_239 ).
cnf(c_0_344,negated_conjecture,
( ssList(esk57_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_237 ).
cnf(c_0_345,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk50_0
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk49_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk49_0
| ~ ssItem(X5)
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X6)
| ~ ssList(X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_331,c_0_292]),c_0_292]) ).
cnf(c_0_346,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_332,c_0_292]) ).
cnf(c_0_347,negated_conjecture,
app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_334]),c_0_335]),c_0_336]),c_0_337])]),c_0_338]) ).
cnf(c_0_348,negated_conjecture,
ssItem(esk53_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_334]),c_0_335]),c_0_336]),c_0_337])]),c_0_338]) ).
cnf(c_0_349,negated_conjecture,
ssItem(esk52_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_334]),c_0_335]),c_0_336]),c_0_337])]),c_0_338]) ).
cnf(c_0_350,negated_conjecture,
ssList(esk54_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_334]),c_0_335]),c_0_336]),c_0_337])]),c_0_338]) ).
cnf(c_0_351,negated_conjecture,
( ssItem(esk56_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_342,c_0_292]) ).
cnf(c_0_352,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssItem(esk56_0) ),
i_0_198 ).
cnf(c_0_353,negated_conjecture,
( ssList(esk54_0)
| ssItem(esk56_0) ),
i_0_208 ).
cnf(c_0_354,negated_conjecture,
( ssItem(esk52_0)
| ssItem(esk56_0) ),
i_0_228 ).
cnf(c_0_355,negated_conjecture,
( ssItem(esk53_0)
| ssItem(esk56_0) ),
i_0_218 ).
cnf(c_0_356,negated_conjecture,
( ssItem(esk55_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_343,c_0_292]) ).
cnf(c_0_357,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssItem(esk55_0) ),
i_0_199 ).
cnf(c_0_358,negated_conjecture,
( ssList(esk54_0)
| ssItem(esk55_0) ),
i_0_209 ).
cnf(c_0_359,negated_conjecture,
( ssItem(esk52_0)
| ssItem(esk55_0) ),
i_0_229 ).
cnf(c_0_360,negated_conjecture,
( ssItem(esk53_0)
| ssItem(esk55_0) ),
i_0_219 ).
cnf(c_0_361,negated_conjecture,
( ssList(esk57_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_344,c_0_292]) ).
cnf(c_0_362,negated_conjecture,
( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssList(esk57_0) ),
i_0_197 ).
cnf(c_0_363,negated_conjecture,
( ssList(esk54_0)
| ssList(esk57_0) ),
i_0_207 ).
cnf(c_0_364,negated_conjecture,
( ssList(esk57_0)
| ssItem(esk52_0) ),
i_0_227 ).
cnf(c_0_365,negated_conjecture,
( ssList(esk57_0)
| ssItem(esk53_0) ),
i_0_217 ).
cnf(c_0_366,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_334]),c_0_335]),c_0_336]),c_0_337])]),c_0_338]) ).
cnf(c_0_367,negated_conjecture,
app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_348]),c_0_349]),c_0_350])]) ).
cnf(c_0_368,negated_conjecture,
ssItem(esk56_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_353]),c_0_354]),c_0_355]) ).
cnf(c_0_369,negated_conjecture,
ssItem(esk55_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_358]),c_0_359]),c_0_360]) ).
cnf(c_0_370,negated_conjecture,
ssList(esk57_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_363]),c_0_364]),c_0_365]) ).
cnf(c_0_371,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_368]),c_0_369]),c_0_370])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC412+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n017.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 : Sat Jun 11 22:44:38 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
% 8.04/2.49 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.04/2.49 # Version: 2.1pre011
% 8.04/2.49 # Preprocessing time : 0.034 s
% 8.04/2.49
% 8.04/2.49 # Proof found!
% 8.04/2.49 # SZS status Theorem
% 8.04/2.49 # SZS output start CNFRefutation
% See solution above
% 8.04/2.49 # Proof object total steps : 129
% 8.04/2.49 # Proof object clause steps : 81
% 8.04/2.49 # Proof object formula steps : 48
% 8.04/2.49 # Proof object conjectures : 129
% 8.04/2.49 # Proof object clause conjectures : 81
% 8.04/2.49 # Proof object formula conjectures : 48
% 8.04/2.49 # Proof object initial clauses used : 48
% 8.04/2.49 # Proof object initial formulas used : 48
% 8.04/2.49 # Proof object generating inferences : 15
% 8.04/2.49 # Proof object simplifying inferences : 77
% 8.04/2.49 # Training examples: 0 positive, 0 negative
% 8.04/2.49 # Parsed axioms : 244
% 8.04/2.49 # Removed by relevancy pruning/SinE : 0
% 8.04/2.49 # Initial clauses : 244
% 8.04/2.49 # Removed in clause preprocessing : 0
% 8.04/2.49 # Initial clauses in saturation : 244
% 8.04/2.49 # Processed clauses : 337
% 8.04/2.49 # ...of these trivial : 2
% 8.04/2.49 # ...subsumed : 29
% 8.04/2.49 # ...remaining for further processing : 306
% 8.04/2.49 # Other redundant clauses eliminated : 84
% 8.04/2.49 # Clauses deleted for lack of memory : 0
% 8.04/2.49 # Backward-subsumed : 25
% 8.04/2.49 # Backward-rewritten : 38
% 8.04/2.49 # Generated clauses : 1897
% 8.04/2.49 # ...of the previous two non-trivial : 1702
% 8.04/2.49 # Contextual simplify-reflections : 38
% 8.04/2.49 # Paramodulations : 1795
% 8.04/2.49 # Factorizations : 0
% 8.04/2.49 # Equation resolutions : 102
% 8.04/2.49 # Propositional unsat checks : 0
% 8.04/2.49 # Propositional unsat check successes : 0
% 8.04/2.49 # Current number of processed clauses : 237
% 8.04/2.49 # Positive orientable unit clauses : 27
% 8.04/2.49 # Positive unorientable unit clauses: 0
% 8.04/2.49 # Negative unit clauses : 7
% 8.04/2.49 # Non-unit-clauses : 203
% 8.04/2.49 # Current number of unprocessed clauses: 951
% 8.04/2.49 # ...number of literals in the above : 6656
% 8.04/2.49 # Current number of archived formulas : 0
% 8.04/2.49 # Current number of archived clauses : 63
% 8.04/2.49 # Clause-clause subsumption calls (NU) : 12715
% 8.04/2.49 # Rec. Clause-clause subsumption calls : 2300
% 8.04/2.49 # Non-unit clause-clause subsumptions : 62
% 8.04/2.49 # Unit Clause-clause subsumption calls : 348
% 8.04/2.49 # Rewrite failures with RHS unbound : 0
% 8.04/2.49 # BW rewrite match attempts : 12
% 8.04/2.49 # BW rewrite match successes : 12
% 8.04/2.49 # Condensation attempts : 0
% 8.04/2.49 # Condensation successes : 0
% 8.04/2.49 # Termbank termtop insertions : 46455
% 8.04/2.49
% 8.04/2.49 # -------------------------------------------------
% 8.04/2.49 # User time : 0.074 s
% 8.04/2.49 # System time : 0.006 s
% 8.04/2.49 # Total time : 0.080 s
% 8.04/2.49 # ...preprocessing : 0.034 s
% 8.04/2.49 # ...main loop : 0.046 s
% 8.04/2.49 # Maximum resident set size: 7128 pages
% 8.04/2.49
%------------------------------------------------------------------------------