TSTP Solution File: RNG078+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG078+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 : Mon Jul 18 20:24:55 EDT 2022
% Result : Theorem 12.36s 2.85s
% Output : CNFRefutation 12.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 42
% Syntax : Number of clauses : 125 ( 72 unt; 4 nHn; 125 RR)
% Number of literals : 233 ( 79 equ; 119 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 16 con; 0-2 aty)
% Number of variables : 72 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_7) ).
cnf(i_0_5,plain,
( X1 = sz00
| szszuzczcdt0(esk1_1(X1)) = X1
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_5) ).
cnf(i_0_4,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_4) ).
cnf(i_0_3,plain,
( szszuzczcdt0(X1) != sz00
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_3) ).
cnf(i_0_68,hypothesis,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_68) ).
cnf(i_0_45,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_45) ).
cnf(i_0_60,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_60) ).
cnf(i_0_58,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_58) ).
cnf(i_0_61,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_61) ).
cnf(i_0_6,plain,
( X1 = sz00
| aNaturalNumber0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_6) ).
cnf(i_0_69,hypothesis,
aVector0(xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_69) ).
cnf(i_0_64,hypothesis,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_64) ).
cnf(i_0_23,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_23) ).
cnf(i_0_53,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_53) ).
cnf(i_0_65,hypothesis,
aVector0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_65) ).
cnf(i_0_24,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_24) ).
cnf(i_0_84,hypothesis,
sdtasdt0(xA,xB) = xH,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_84) ).
cnf(i_0_73,hypothesis,
aScalar0(xB),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_73) ).
cnf(i_0_71,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_71) ).
cnf(i_0_82,hypothesis,
sdtasdt0(xB,xB) = xG,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_82) ).
cnf(i_0_85,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_85) ).
cnf(i_0_80,hypothesis,
sdtasdt0(xA,xA) = xF,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_80) ).
cnf(i_0_98,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_98) ).
cnf(i_0_88,hypothesis,
sdtasdt0(xE,xH) = xP,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_88) ).
cnf(i_0_86,hypothesis,
sdtasdt0(xC,xG) = xR,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_86) ).
cnf(i_0_90,hypothesis,
sdtasdt0(xF,xD) = xS,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_90) ).
cnf(i_0_97,hypothesis,
sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_97) ).
cnf(i_0_83,hypothesis,
aScalar0(xG),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_83) ).
cnf(i_0_30,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_30) ).
cnf(i_0_79,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_79) ).
cnf(i_0_16,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_16) ).
cnf(i_0_31,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_31) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_13) ).
cnf(i_0_26,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_26) ).
cnf(i_0_89,hypothesis,
aScalar0(xP),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_89) ).
cnf(i_0_96,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_96) ).
cnf(i_0_91,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_91) ).
cnf(i_0_87,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_87) ).
cnf(i_0_14,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_14) ).
cnf(i_0_12,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_12) ).
cnf(i_0_77,hypothesis,
aScalar0(xD),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_77) ).
cnf(i_0_75,hypothesis,
aScalar0(xC),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r6xk4o4_/input.p',i_0_75) ).
cnf(c_0_141,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_142,plain,
( X1 = sz00
| szszuzczcdt0(esk1_1(X1)) = X1
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_143,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
i_0_4 ).
cnf(c_0_144,plain,
( szszuzczcdt0(X1) != sz00
| ~ aNaturalNumber0(X1) ),
i_0_3 ).
cnf(c_0_145,plain,
( esk1_1(szszuzczcdt0(X1)) = X1
| ~ aNaturalNumber0(esk1_1(szszuzczcdt0(X1)))
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142])]),c_0_143]),c_0_144]) ).
cnf(c_0_146,hypothesis,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
i_0_68 ).
cnf(c_0_147,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
i_0_45 ).
cnf(c_0_148,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
i_0_60 ).
cnf(c_0_149,hypothesis,
aVector0(xs),
i_0_58 ).
cnf(c_0_150,hypothesis,
aDimensionOf0(xs) != sz00,
i_0_61 ).
cnf(c_0_151,hypothesis,
( esk1_1(aDimensionOf0(xt)) = aDimensionOf0(xq)
| ~ aNaturalNumber0(esk1_1(aDimensionOf0(xt)))
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_152,plain,
( X1 = sz00
| aNaturalNumber0(esk1_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_153,hypothesis,
aNaturalNumber0(aDimensionOf0(xt)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149])]) ).
cnf(c_0_154,hypothesis,
aDimensionOf0(xt) != sz00,
inference(rw,[status(thm)],[c_0_150,c_0_148]) ).
cnf(c_0_155,plain,
( esk1_1(aDimensionOf0(xt)) = aDimensionOf0(xq)
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153])]),c_0_154]) ).
cnf(c_0_156,hypothesis,
aVector0(xq),
i_0_69 ).
cnf(c_0_157,plain,
esk1_1(aDimensionOf0(xt)) = aDimensionOf0(xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_147]),c_0_156])]) ).
cnf(c_0_158,hypothesis,
( X1 = aDimensionOf0(xq)
| szszuzczcdt0(X1) != aDimensionOf0(xt)
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_146]) ).
cnf(c_0_159,plain,
aNaturalNumber0(aDimensionOf0(xq)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_157]),c_0_153])]),c_0_154]) ).
cnf(c_0_160,hypothesis,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
i_0_64 ).
cnf(c_0_161,hypothesis,
( X1 = aDimensionOf0(xq)
| szszuzczcdt0(X1) != aDimensionOf0(xt)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]) ).
cnf(c_0_162,hypothesis,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xt),
inference(rw,[status(thm)],[c_0_160,c_0_148]) ).
cnf(c_0_163,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_164,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
i_0_53 ).
cnf(c_0_165,hypothesis,
( aDimensionOf0(xq) = aDimensionOf0(xp)
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_166,hypothesis,
aVector0(xp),
i_0_65 ).
cnf(c_0_167,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| ~ aVector0(X4)
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_168,plain,
aDimensionOf0(xq) = aDimensionOf0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_147]),c_0_166])]) ).
cnf(c_0_169,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_24 ).
cnf(c_0_170,hypothesis,
sdtasdt0(xA,xB) = xH,
i_0_84 ).
cnf(c_0_171,hypothesis,
aScalar0(xB),
i_0_73 ).
cnf(c_0_172,hypothesis,
aScalar0(xA),
i_0_71 ).
cnf(c_0_173,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| aDimensionOf0(X3) != aDimensionOf0(xp)
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_156])]) ).
cnf(c_0_174,hypothesis,
( sdtasdt0(xA,sdtasdt0(xB,X1)) = sdtasdt0(xH,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]),c_0_172])]) ).
cnf(c_0_175,hypothesis,
sdtasdt0(xB,xB) = xG,
i_0_82 ).
cnf(c_0_176,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_173]),c_0_166])]) ).
cnf(c_0_177,hypothesis,
sdtasdt0(xH,xB) = sdtasdt0(xA,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_171])]) ).
cnf(c_0_178,hypothesis,
aScalar0(xH),
i_0_85 ).
cnf(c_0_179,hypothesis,
sdtasdt0(xA,xA) = xF,
i_0_80 ).
cnf(c_0_180,plain,
sdtasdt0(xB,xH) = sdtasdt0(xA,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_171]),c_0_178])]) ).
cnf(c_0_181,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
i_0_98 ).
cnf(c_0_182,hypothesis,
sdtasdt0(xE,xH) = xP,
i_0_88 ).
cnf(c_0_183,hypothesis,
sdtasdt0(xC,xG) = xR,
i_0_86 ).
cnf(c_0_184,hypothesis,
sdtasdt0(xF,xD) = xS,
i_0_90 ).
cnf(c_0_185,hypothesis,
sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
i_0_97 ).
cnf(c_0_186,hypothesis,
( sdtasdt0(xA,sdtasdt0(xA,X1)) = sdtasdt0(xF,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_179]),c_0_172])]) ).
cnf(c_0_187,hypothesis,
sdtasdt0(xA,sdtasdt0(xA,xG)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_180]),c_0_178])]) ).
cnf(c_0_188,hypothesis,
aScalar0(xG),
i_0_83 ).
cnf(c_0_189,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_30 ).
cnf(c_0_190,hypothesis,
aScalar0(xE),
i_0_79 ).
cnf(c_0_191,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
i_0_16 ).
cnf(c_0_192,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_31 ).
cnf(c_0_193,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_194,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182]),c_0_183]),c_0_184]) ).
cnf(c_0_195,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_26 ).
cnf(c_0_196,hypothesis,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(rw,[status(thm)],[c_0_185,c_0_182]) ).
cnf(c_0_197,hypothesis,
aScalar0(xP),
i_0_89 ).
cnf(c_0_198,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
i_0_96 ).
cnf(c_0_199,hypothesis,
aScalar0(xS),
i_0_91 ).
cnf(c_0_200,hypothesis,
aScalar0(xR),
i_0_87 ).
cnf(c_0_201,hypothesis,
sdtasdt0(xH,xH) = sdtasdt0(xF,xG),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188])]) ).
cnf(c_0_202,hypothesis,
sdtasdt0(smndt0(xE),xH) = smndt0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_182]),c_0_178]),c_0_190])]) ).
cnf(c_0_203,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]) ).
cnf(c_0_204,hypothesis,
sdtasdt0(xE,smndt0(xH)) = smndt0(xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_182]),c_0_178]),c_0_190])]) ).
cnf(c_0_205,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG))))
| ~ aScalar0(sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_196]),c_0_197])]) ).
cnf(c_0_206,hypothesis,
( sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xH,xH)))))
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_195]),c_0_199]),c_0_200])]) ).
cnf(c_0_207,plain,
aScalar0(sdtasdt0(xF,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_201]),c_0_178])]) ).
cnf(c_0_208,hypothesis,
( sdtasdt0(xH,smndt0(xE)) = smndt0(xP)
| ~ aScalar0(smndt0(xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_176]),c_0_178])]) ).
cnf(c_0_209,hypothesis,
smndt0(smndt0(xP)) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_182]),c_0_178]),c_0_190])]) ).
cnf(c_0_210,plain,
( ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xF,xG)))))
| ~ aScalar0(sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH)))
| ~ aScalar0(sdtpldt0(xS,sdtasdt0(xF,xG)))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_195]),c_0_200])]) ).
cnf(c_0_211,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xF,xG))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xF,xG))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_201]),c_0_201]),c_0_201]),c_0_207])]) ).
cnf(c_0_212,plain,
( sdtasdt0(xH,xE) = xP
| ~ aScalar0(smndt0(xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_208]),c_0_209]),c_0_190]),c_0_178])]) ).
cnf(c_0_213,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
i_0_14 ).
cnf(c_0_214,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xF,xG)))
| ~ aScalar0(sdtpldt0(xS,sdtasdt0(xF,xG)))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_201]),c_0_201]),c_0_211])]) ).
cnf(c_0_215,plain,
sdtasdt0(xH,xE) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_190])]) ).
cnf(c_0_216,plain,
( ~ aScalar0(sdtpldt0(xP,sdtasdt0(xF,xG)))
| ~ aScalar0(sdtpldt0(xS,sdtasdt0(xF,xG)))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(rw,[status(thm)],[c_0_214,c_0_215]) ).
cnf(c_0_217,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_12 ).
cnf(c_0_218,plain,
( ~ aScalar0(sdtpldt0(xP,sdtasdt0(xF,xG)))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_207]),c_0_199])]) ).
cnf(c_0_219,plain,
( ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_217]),c_0_207]),c_0_197])]) ).
cnf(c_0_220,plain,
~ aScalar0(sdtasdt0(xC,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_193]),c_0_190])]) ).
cnf(c_0_221,hypothesis,
aScalar0(xD),
i_0_77 ).
cnf(c_0_222,hypothesis,
aScalar0(xC),
i_0_75 ).
cnf(c_0_223,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_193]),c_0_221]),c_0_222])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : RNG078+2 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Mon May 30 17:12:14 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.38 # ENIGMATIC: Selected complete mode:
% 12.36/2.85 # ENIGMATIC: Solved by autoschedule:
% 12.36/2.85 # No SInE strategy applied
% 12.36/2.85 # Trying AutoSched0 for 150 seconds
% 12.36/2.85 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 12.36/2.85 # and selection function SelectMaxLComplexAvoidPosPred.
% 12.36/2.85 #
% 12.36/2.85 # Preprocessing time : 0.024 s
% 12.36/2.85
% 12.36/2.85 # Proof found!
% 12.36/2.85 # SZS status Theorem
% 12.36/2.85 # SZS output start CNFRefutation
% See solution above
% 12.36/2.85 # Training examples: 0 positive, 0 negative
% 12.36/2.85
% 12.36/2.85 # -------------------------------------------------
% 12.36/2.85 # User time : 0.393 s
% 12.36/2.85 # System time : 0.012 s
% 12.36/2.85 # Total time : 0.405 s
% 12.36/2.85 # Maximum resident set size: 7120 pages
% 12.36/2.85
%------------------------------------------------------------------------------