TSTP Solution File: RNG059+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG059+1 : 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 20:24:50 EDT 2022
% Result : Theorem 7.52s 2.33s
% Output : CNFRefutation 7.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of clauses : 47 ( 24 unt; 6 nHn; 47 RR)
% Number of literals : 94 ( 36 equ; 47 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 : 40 ( 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-fzicg9wb/input.p',i_0_49) ).
cnf(i_0_61,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/input.p',i_0_61) ).
cnf(i_0_60,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/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/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/input.p',i_0_50) ).
cnf(i_0_64,hypothesis,
sziznziztdt0(xt) = xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/input.p',i_0_64) ).
cnf(i_0_57,hypothesis,
aVector0(xt),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/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-fzicg9wb/input.p',i_0_46) ).
cnf(i_0_65,hypothesis,
aVector0(xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/input.p',i_0_65) ).
cnf(i_0_4,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/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/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/input.p',i_0_23) ).
cnf(i_0_45,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/input.p',i_0_45) ).
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-fzicg9wb/input.p',i_0_31) ).
cnf(i_0_88,hypothesis,
sdtasdt0(xR,xS) = xN,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/input.p',i_0_88) ).
cnf(i_0_87,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/input.p',i_0_87) ).
cnf(i_0_83,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/input.p',i_0_83) ).
cnf(i_0_92,negated_conjecture,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/input.p',i_0_92) ).
cnf(i_0_14,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fzicg9wb/input.p',i_0_14) ).
cnf(c_0_110,plain,
( aDimensionOf0(X1) = sz00
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(X1,X3)
| X2 != sziznziztdt0(X1)
| ~ aNaturalNumber0(X3)
| ~ aVector0(X1) ),
i_0_49 ).
cnf(c_0_111,hypothesis,
aDimensionOf0(xs) != sz00,
i_0_61 ).
cnf(c_0_112,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
i_0_60 ).
cnf(c_0_113,plain,
( aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| X2 != sziznziztdt0(X1)
| ~ aVector0(X1) ),
i_0_50 ).
cnf(c_0_114,plain,
( sdtlbdtrb0(sziznziztdt0(X1),X2) = sdtlbdtrb0(X1,X2)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1)
| ~ aNaturalNumber0(X2) ),
inference(er,[status(thm)],[c_0_110]) ).
cnf(c_0_115,hypothesis,
sziznziztdt0(xt) = xq,
i_0_64 ).
cnf(c_0_116,hypothesis,
aVector0(xt),
i_0_57 ).
cnf(c_0_117,hypothesis,
aDimensionOf0(xt) != sz00,
inference(rw,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_118,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_113]) ).
cnf(c_0_119,plain,
( aScalar0(sdtlbdtrb0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aVector0(X1) ),
i_0_46 ).
cnf(c_0_120,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_114,c_0_115]),c_0_116])]),c_0_117]) ).
cnf(c_0_121,hypothesis,
aVector0(xq),
i_0_65 ).
cnf(c_0_122,plain,
( aNaturalNumber0(szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
i_0_4 ).
cnf(c_0_123,hypothesis,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_115]),c_0_116])]),c_0_117]) ).
cnf(c_0_124,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_23 ).
cnf(c_0_125,plain,
( aScalar0(sdtlbdtrb0(xt,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121])]) ).
cnf(c_0_126,plain,
( aNaturalNumber0(aDimensionOf0(xt))
| ~ aNaturalNumber0(aDimensionOf0(xq)) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_127,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
i_0_45 ).
cnf(c_0_128,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X3) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_129,plain,
aNaturalNumber0(aDimensionOf0(xt)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_121])]) ).
cnf(c_0_130,plain,
( smndt0(sdtasdt0(X1,X2)) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
i_0_31 ).
cnf(c_0_131,hypothesis,
sdtasdt0(xR,xS) = xN,
i_0_88 ).
cnf(c_0_132,hypothesis,
aScalar0(xS),
i_0_87 ).
cnf(c_0_133,hypothesis,
aScalar0(xR),
i_0_83 ).
cnf(c_0_134,negated_conjecture,
sdtasdt0(smndt0(xS),xR) != smndt0(xN),
i_0_92 ).
cnf(c_0_135,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_136,hypothesis,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_133])]) ).
cnf(c_0_137,negated_conjecture,
~ aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_133])]) ).
cnf(c_0_138,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
i_0_14 ).
cnf(c_0_139,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_132])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : RNG059+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Mon May 30 18:36:14 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.40 # ENIGMATIC: Selected complete mode:
% 7.52/2.33 # ENIGMATIC: Solved by autoschedule:
% 7.52/2.33 # No SInE strategy applied
% 7.52/2.33 # Trying AutoSched0 for 150 seconds
% 7.52/2.33 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.52/2.33 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.52/2.33 #
% 7.52/2.33 # Preprocessing time : 0.019 s
% 7.52/2.33
% 7.52/2.33 # Proof found!
% 7.52/2.33 # SZS status Theorem
% 7.52/2.33 # SZS output start CNFRefutation
% See solution above
% 7.52/2.33 # Training examples: 0 positive, 0 negative
% 7.52/2.33
% 7.52/2.33 # -------------------------------------------------
% 7.52/2.33 # User time : 0.032 s
% 7.52/2.33 # System time : 0.005 s
% 7.52/2.33 # Total time : 0.037 s
% 7.52/2.33 # Maximum resident set size: 7124 pages
% 7.52/2.33
%------------------------------------------------------------------------------