TSTP Solution File: RNG077+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG077+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 7.87s 2.46s
% Output : CNFRefutation 7.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 50 ( 27 unt; 6 nHn; 50 RR)
% Number of literals : 101 ( 37 equ; 53 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 : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 44 ( 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-wjg9uu59/input.p',i_0_49) ).
cnf(i_0_61,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_61) ).
cnf(i_0_60,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_60) ).
cnf(i_0_50,plain,
( aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| X2 != sziznziztdt0(X1)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_50) ).
cnf(i_0_64,hypothesis,
sziznziztdt0(xt) = xq,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_64) ).
cnf(i_0_57,hypothesis,
aVector0(xt),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_57) ).
cnf(i_0_46,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_46) ).
cnf(i_0_65,hypothesis,
aVector0(xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_65) ).
cnf(i_0_4,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_4) ).
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-wjg9uu59/input.p',i_0_23) ).
cnf(i_0_45,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_45) ).
cnf(i_0_93,negated_conjecture,
sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_93) ).
cnf(i_0_84,hypothesis,
sdtasdt0(xE,xH) = xP,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_84) ).
cnf(i_0_81,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_81) ).
cnf(i_0_75,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_75) ).
cnf(i_0_26,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_26) ).
cnf(i_0_85,hypothesis,
aScalar0(xP),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_85) ).
cnf(i_0_13,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wjg9uu59/input.p',i_0_13) ).
cnf(c_0_112,plain,
( aDimensionOf0(X1) = sz00
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
| X2 != sziznziztdt0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X1) ),
i_0_49 ).
cnf(c_0_113,hypothesis,
aDimensionOf0(xs) != sz00,
i_0_61 ).
cnf(c_0_114,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
i_0_60 ).
cnf(c_0_115,plain,
( aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| X2 != sziznziztdt0(X1)
| ~ aVector0(X1) ),
i_0_50 ).
cnf(c_0_116,plain,
( sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_112]) ).
cnf(c_0_117,hypothesis,
sziznziztdt0(xt) = xq,
i_0_64 ).
cnf(c_0_118,hypothesis,
aVector0(xt),
i_0_57 ).
cnf(c_0_119,hypothesis,
aDimensionOf0(xt) != sz00,
inference(rw,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_120,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_115]) ).
cnf(c_0_121,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
i_0_46 ).
cnf(c_0_122,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_116,c_0_117]),c_0_118])]),c_0_119]) ).
cnf(c_0_123,hypothesis,
aVector0(xq),
i_0_65 ).
cnf(c_0_124,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
i_0_4 ).
cnf(c_0_125,hypothesis,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_117]),c_0_118])]),c_0_119]) ).
cnf(c_0_126,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_127,plain,
( aScalar0(sdtlbdtrb0(xt,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_128,plain,
( aNaturalNumber0(aDimensionOf0(xt))
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_129,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
i_0_45 ).
cnf(c_0_130,negated_conjecture,
sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
i_0_93 ).
cnf(c_0_131,hypothesis,
sdtasdt0(xE,xH) = xP,
i_0_84 ).
cnf(c_0_132,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_133,plain,
aNaturalNumber0(aDimensionOf0(xt)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_123])]) ).
cnf(c_0_134,negated_conjecture,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) != sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(rw,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_136,hypothesis,
aScalar0(xH),
i_0_81 ).
cnf(c_0_137,hypothesis,
aScalar0(xE),
i_0_75 ).
cnf(c_0_138,negated_conjecture,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) != sdtpldt0(xP,sdtpldt0(xP,sdtasdt0(xH,xH))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_131]),c_0_136]),c_0_137])]) ).
cnf(c_0_139,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_26 ).
cnf(c_0_140,hypothesis,
aScalar0(xP),
i_0_85 ).
cnf(c_0_141,plain,
~ aScalar0(sdtasdt0(xH,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).
cnf(c_0_142,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_13 ).
cnf(c_0_143,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_136])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG077+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 22:34:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 # ENIGMATIC: Selected complete mode:
% 7.87/2.46 # ENIGMATIC: Solved by autoschedule:
% 7.87/2.46 # No SInE strategy applied
% 7.87/2.46 # Trying AutoSched0 for 150 seconds
% 7.87/2.46 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.87/2.46 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.87/2.46 #
% 7.87/2.46 # Preprocessing time : 0.025 s
% 7.87/2.46
% 7.87/2.46 # Proof found!
% 7.87/2.46 # SZS status Theorem
% 7.87/2.46 # SZS output start CNFRefutation
% See solution above
% 7.87/2.46 # Training examples: 0 positive, 0 negative
% 7.87/2.46
% 7.87/2.46 # -------------------------------------------------
% 7.87/2.46 # User time : 0.043 s
% 7.87/2.46 # System time : 0.007 s
% 7.87/2.46 # Total time : 0.050 s
% 7.87/2.46 # Maximum resident set size: 7116 pages
% 7.87/2.46
%------------------------------------------------------------------------------