TSTP Solution File: RNG056+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG056+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 20:24:49 EDT 2022
% Result : Theorem 16.33s 3.60s
% Output : CNFRefutation 16.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of clauses : 79 ( 58 unt; 3 nHn; 79 RR)
% Number of literals : 125 ( 52 equ; 50 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 43 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_49,plain,
( aDimensionOf0(X1) = sz00
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
| X2 != sziznziztdt0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_49) ).
cnf(i_0_62,hypothesis,
sziznziztdt0(xs) = xp,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_62) ).
cnf(i_0_58,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_58) ).
cnf(i_0_61,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_61) ).
cnf(i_0_46,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_46) ).
cnf(i_0_63,hypothesis,
aVector0(xp),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_63) ).
cnf(i_0_23,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_23) ).
cnf(i_0_24,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_24) ).
cnf(i_0_80,hypothesis,
sdtasdt0(xA,xB) = xH,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_80) ).
cnf(i_0_69,hypothesis,
aScalar0(xB),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_69) ).
cnf(i_0_67,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_67) ).
cnf(i_0_2,plain,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_2) ).
cnf(i_0_78,hypothesis,
sdtasdt0(xB,xB) = xG,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_78) ).
cnf(i_0_79,hypothesis,
aScalar0(xG),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_79) ).
cnf(i_0_76,hypothesis,
sdtasdt0(xA,xA) = xF,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_76) ).
cnf(i_0_81,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_81) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_13) ).
cnf(i_0_82,hypothesis,
sdtasdt0(xC,xG) = xR,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_82) ).
cnf(i_0_71,hypothesis,
aScalar0(xC),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_71) ).
cnf(i_0_77,hypothesis,
aScalar0(xF),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_77) ).
cnf(i_0_92,negated_conjecture,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)) != xN,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_92) ).
cnf(i_0_73,hypothesis,
aScalar0(xD),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_73) ).
cnf(i_0_86,hypothesis,
sdtasdt0(xF,xD) = xS,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_86) ).
cnf(i_0_83,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_83) ).
cnf(i_0_88,hypothesis,
sdtasdt0(xR,xS) = xN,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_88) ).
cnf(i_0_87,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-rzh_gv0t/lgb.p',i_0_87) ).
cnf(c_0_119,plain,
( aDimensionOf0(X1) = sz00
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
| X2 != sziznziztdt0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X1) ),
i_0_49 ).
cnf(c_0_120,plain,
( sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2)
| aDimensionOf0(X1) = sz00
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_119]) ).
cnf(c_0_121,hypothesis,
sziznziztdt0(xs) = xp,
i_0_62 ).
cnf(c_0_122,hypothesis,
aVector0(xs),
i_0_58 ).
cnf(c_0_123,hypothesis,
aDimensionOf0(xs) != sz00,
i_0_61 ).
cnf(c_0_124,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
i_0_46 ).
cnf(c_0_125,hypothesis,
( sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122])]),c_0_123]) ).
cnf(c_0_126,hypothesis,
aVector0(xp),
i_0_63 ).
cnf(c_0_127,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_128,plain,
( aScalar0(sdtlbdtrb0(xs,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126])]) ).
cnf(c_0_129,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_24 ).
cnf(c_0_130,hypothesis,
sdtasdt0(xA,xB) = xH,
i_0_80 ).
cnf(c_0_131,hypothesis,
aScalar0(xB),
i_0_69 ).
cnf(c_0_132,hypothesis,
aScalar0(xA),
i_0_67 ).
cnf(c_0_133,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_134,plain,
aNaturalNumber0(sz00),
i_0_2 ).
cnf(c_0_135,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_129,c_0_130]),c_0_131]),c_0_132])]) ).
cnf(c_0_136,hypothesis,
sdtasdt0(xB,xB) = xG,
i_0_78 ).
cnf(c_0_137,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_138,hypothesis,
sdtasdt0(xA,xG) = sdtasdt0(xH,xB),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_131])]) ).
cnf(c_0_139,hypothesis,
aScalar0(xG),
i_0_79 ).
cnf(c_0_140,hypothesis,
( sdtasdt0(xB,sdtasdt0(xB,X1)) = sdtasdt0(xG,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_136]),c_0_131])]) ).
cnf(c_0_141,hypothesis,
sdtasdt0(xB,xA) = xH,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_137]),c_0_132]),c_0_131])]) ).
cnf(c_0_142,plain,
sdtasdt0(xG,xA) = sdtasdt0(xH,xB),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]),c_0_132])]) ).
cnf(c_0_143,hypothesis,
sdtasdt0(xA,xA) = xF,
i_0_76 ).
cnf(c_0_144,hypothesis,
sdtasdt0(xB,xH) = sdtasdt0(xH,xB),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_132])]) ).
cnf(c_0_145,hypothesis,
aScalar0(xH),
i_0_81 ).
cnf(c_0_146,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_147,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_129,c_0_143]),c_0_132])]) ).
cnf(c_0_148,hypothesis,
sdtasdt0(xA,sdtasdt0(xH,xB)) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_144]),c_0_145])]) ).
cnf(c_0_149,plain,
aScalar0(sdtasdt0(xH,xB)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_142]),c_0_132]),c_0_139])]) ).
cnf(c_0_150,hypothesis,
sdtasdt0(xC,xG) = xR,
i_0_82 ).
cnf(c_0_151,hypothesis,
aScalar0(xC),
i_0_71 ).
cnf(c_0_152,hypothesis,
sdtasdt0(xF,xG) = sdtasdt0(xH,xH),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_138]),c_0_139])]),c_0_148]) ).
cnf(c_0_153,hypothesis,
aScalar0(xF),
i_0_77 ).
cnf(c_0_154,negated_conjecture,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xC,xD)) != xN,
i_0_92 ).
cnf(c_0_155,plain,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X2,sdtasdt0(X3,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_137]),c_0_146]) ).
cnf(c_0_156,hypothesis,
aScalar0(xD),
i_0_73 ).
cnf(c_0_157,plain,
aScalar0(sdtasdt0(xH,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_148]),c_0_149]),c_0_132])]) ).
cnf(c_0_158,hypothesis,
( sdtasdt0(xC,sdtasdt0(xG,X1)) = sdtasdt0(xR,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_150]),c_0_139]),c_0_151])]) ).
cnf(c_0_159,plain,
sdtasdt0(xG,xF) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_152]),c_0_139]),c_0_153])]) ).
cnf(c_0_160,negated_conjecture,
sdtasdt0(xD,sdtasdt0(sdtasdt0(xH,xH),xC)) != xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]),c_0_151]),c_0_157])]) ).
cnf(c_0_161,hypothesis,
sdtasdt0(xC,sdtasdt0(xH,xH)) = sdtasdt0(xR,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_153])]) ).
cnf(c_0_162,hypothesis,
sdtasdt0(xF,xD) = xS,
i_0_86 ).
cnf(c_0_163,plain,
sdtasdt0(xD,sdtasdt0(xR,xF)) != xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_137]),c_0_161]),c_0_151]),c_0_157])]) ).
cnf(c_0_164,hypothesis,
aScalar0(xR),
i_0_83 ).
cnf(c_0_165,hypothesis,
sdtasdt0(xD,xF) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_137]),c_0_153]),c_0_156])]) ).
cnf(c_0_166,hypothesis,
sdtasdt0(xR,xS) = xN,
i_0_88 ).
cnf(c_0_167,hypothesis,
aScalar0(xS),
i_0_87 ).
cnf(c_0_168,plain,
sdtasdt0(xD,sdtasdt0(xF,xR)) != xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_137]),c_0_153]),c_0_164])]) ).
cnf(c_0_169,plain,
( sdtasdt0(xD,sdtasdt0(xF,X1)) = sdtasdt0(xS,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_165]),c_0_153]),c_0_156])]) ).
cnf(c_0_170,hypothesis,
sdtasdt0(xS,xR) = xN,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_137]),c_0_164]),c_0_167])]) ).
cnf(c_0_171,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]),c_0_164])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG056+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 11:24:38 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 16.33/3.60 # ENIGMATIC: Solved by autoschedule-lgb:
% 16.33/3.60 # No SInE strategy applied
% 16.33/3.60 # Trying AutoSched0 for 150 seconds
% 16.33/3.60 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 16.33/3.60 # and selection function SelectMaxLComplexAvoidPosPred.
% 16.33/3.60 #
% 16.33/3.60 # Preprocessing time : 0.013 s
% 16.33/3.60
% 16.33/3.60 # Proof found!
% 16.33/3.60 # SZS status Theorem
% 16.33/3.60 # SZS output start CNFRefutation
% See solution above
% 16.33/3.60 # Training examples: 0 positive, 0 negative
% 16.33/3.60
% 16.33/3.60 # -------------------------------------------------
% 16.33/3.60 # User time : 0.997 s
% 16.33/3.60 # System time : 0.048 s
% 16.33/3.60 # Total time : 1.045 s
% 16.33/3.60 # Maximum resident set size: 7120 pages
% 16.33/3.60
%------------------------------------------------------------------------------