TSTP Solution File: RNG055+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG055+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 8.99s 2.65s
% Output : CNFRefutation 8.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of clauses : 49 ( 26 unt; 3 nHn; 49 RR)
% Number of literals : 99 ( 31 equ; 58 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 38 ( 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/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_49) ).
cnf(i_0_61,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_61) ).
cnf(i_0_60,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_60) ).
cnf(i_0_64,hypothesis,
sziznziztdt0(xt) = xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_64) ).
cnf(i_0_57,hypothesis,
aVector0(xt),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_57) ).
cnf(i_0_46,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_46) ).
cnf(i_0_65,hypothesis,
aVector0(xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_65) ).
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-68bacm2h/input.p',i_0_23) ).
cnf(i_0_45,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_45) ).
cnf(i_0_58,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_58) ).
cnf(i_0_91,negated_conjecture,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xP,xP),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_91) ).
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-68bacm2h/input.p',i_0_24) ).
cnf(i_0_75,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_75) ).
cnf(i_0_84,hypothesis,
sdtasdt0(xE,xH) = xP,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_84) ).
cnf(i_0_81,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_81) ).
cnf(i_0_85,hypothesis,
aScalar0(xP),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_85) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-68bacm2h/input.p',i_0_13) ).
cnf(c_0_109,plain,
( aDimensionOf0(X1) = sz00
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
| X2 != sziznziztdt0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X1) ),
i_0_49 ).
cnf(c_0_110,hypothesis,
aDimensionOf0(xs) != sz00,
i_0_61 ).
cnf(c_0_111,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
i_0_60 ).
cnf(c_0_112,plain,
( sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_109]) ).
cnf(c_0_113,hypothesis,
sziznziztdt0(xt) = xq,
i_0_64 ).
cnf(c_0_114,hypothesis,
aVector0(xt),
i_0_57 ).
cnf(c_0_115,hypothesis,
aDimensionOf0(xt) != sz00,
inference(rw,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_116,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
i_0_46 ).
cnf(c_0_117,hypothesis,
( sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1)
| ~ aNaturalNumber0(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114])]),c_0_115]) ).
cnf(c_0_118,hypothesis,
aVector0(xq),
i_0_65 ).
cnf(c_0_119,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_120,plain,
( aScalar0(sdtlbdtrb0(xt,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118])]) ).
cnf(c_0_121,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
i_0_45 ).
cnf(c_0_122,hypothesis,
aVector0(xs),
i_0_58 ).
cnf(c_0_123,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,hypothesis,
aNaturalNumber0(aDimensionOf0(xt)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_111]),c_0_122])]) ).
cnf(c_0_125,negated_conjecture,
sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)) != sdtasdt0(xP,xP),
i_0_91 ).
cnf(c_0_126,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( sdtasdt0(sdtasdt0(xE,xE),sdtasdt0(xH,xH)) != sdtasdt0(xP,xP)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_128,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_24 ).
cnf(c_0_129,hypothesis,
aScalar0(xE),
i_0_75 ).
cnf(c_0_130,hypothesis,
sdtasdt0(xE,xH) = xP,
i_0_84 ).
cnf(c_0_131,hypothesis,
aScalar0(xH),
i_0_81 ).
cnf(c_0_132,plain,
( sdtasdt0(xE,sdtasdt0(xE,sdtasdt0(xH,xH))) != sdtasdt0(xP,xP)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).
cnf(c_0_133,hypothesis,
( sdtasdt0(xE,sdtasdt0(xH,X1)) = sdtasdt0(xP,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_130]),c_0_131]),c_0_129])]) ).
cnf(c_0_134,hypothesis,
( sdtasdt0(xE,sdtasdt0(xP,xH)) != sdtasdt0(xP,xP)
| ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_131])]) ).
cnf(c_0_135,hypothesis,
aScalar0(xP),
i_0_85 ).
cnf(c_0_136,hypothesis,
( sdtasdt0(xE,sdtasdt0(xH,xP)) != sdtasdt0(xP,xP)
| ~ aScalar0(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_134,c_0_126]),c_0_131]),c_0_135])]) ).
cnf(c_0_137,hypothesis,
( ~ aScalar0(sdtasdt0(xH,xH))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_133]),c_0_135])]) ).
cnf(c_0_138,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_139,plain,
~ aScalar0(sdtasdt0(xE,xE)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_131])]) ).
cnf(c_0_140,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_138]),c_0_129])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : RNG055+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 18:09:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 # ENIGMATIC: Selected complete mode:
% 8.99/2.65 # ENIGMATIC: Solved by autoschedule:
% 8.99/2.65 # No SInE strategy applied
% 8.99/2.65 # Trying AutoSched0 for 150 seconds
% 8.99/2.65 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.99/2.65 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.99/2.65 #
% 8.99/2.65 # Preprocessing time : 0.025 s
% 8.99/2.65
% 8.99/2.65 # Proof found!
% 8.99/2.65 # SZS status Theorem
% 8.99/2.65 # SZS output start CNFRefutation
% See solution above
% 8.99/2.65 # Training examples: 0 positive, 0 negative
% 8.99/2.65
% 8.99/2.65 # -------------------------------------------------
% 8.99/2.65 # User time : 0.040 s
% 8.99/2.65 # System time : 0.010 s
% 8.99/2.65 # Total time : 0.051 s
% 8.99/2.65 # Maximum resident set size: 7124 pages
% 8.99/2.65
%------------------------------------------------------------------------------