TSTP Solution File: RNG052+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG052+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 20:24:48 EDT 2022
% Result : Theorem 7.65s 2.32s
% Output : CNFRefutation 7.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 47 ( 31 unt; 3 nHn; 47 RR)
% Number of literals : 84 ( 39 equ; 41 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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-oo72z_0v/input.p',i_0_50) ).
cnf(i_0_61,hypothesis,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_61) ).
cnf(i_0_60,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_60) ).
cnf(i_0_64,hypothesis,
sziznziztdt0(xt) = xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_64) ).
cnf(i_0_57,hypothesis,
aVector0(xt),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_57) ).
cnf(i_0_7,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_7) ).
cnf(i_0_45,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_45) ).
cnf(i_0_65,hypothesis,
aVector0(xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_65) ).
cnf(i_0_62,hypothesis,
sziznziztdt0(xs) = xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_62) ).
cnf(i_0_58,hypothesis,
aVector0(xs),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_58) ).
cnf(i_0_59,hypothesis,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1)
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(xs)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_59) ).
cnf(i_0_63,hypothesis,
aVector0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_63) ).
cnf(i_0_74,hypothesis,
sdtasasdt0(xp,xq) = xE,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_74) ).
cnf(i_0_70,hypothesis,
sdtasasdt0(xp,xp) = xC,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_70) ).
cnf(i_0_72,hypothesis,
sdtasasdt0(xq,xq) = xD,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_72) ).
cnf(i_0_90,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_90) ).
cnf(i_0_9,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oo72z_0v/input.p',i_0_9) ).
cnf(c_0_108,plain,
( aDimensionOf0(X1) = sz00
| szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(X1)
| X2 != sziznziztdt0(X1)
| ~ aVector0(X1) ),
i_0_50 ).
cnf(c_0_109,hypothesis,
aDimensionOf0(xs) != sz00,
i_0_61 ).
cnf(c_0_110,hypothesis,
aDimensionOf0(xt) = aDimensionOf0(xs),
i_0_60 ).
cnf(c_0_111,plain,
( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1))) = aDimensionOf0(X1)
| aDimensionOf0(X1) = sz00
| ~ aVector0(X1) ),
inference(er,[status(thm)],[c_0_108]) ).
cnf(c_0_112,hypothesis,
sziznziztdt0(xt) = xq,
i_0_64 ).
cnf(c_0_113,hypothesis,
aVector0(xt),
i_0_57 ).
cnf(c_0_114,hypothesis,
aDimensionOf0(xt) != sz00,
inference(rw,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,plain,
( X1 = X2
| szszuzczcdt0(X1) != szszuzczcdt0(X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_7 ).
cnf(c_0_116,hypothesis,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113])]),c_0_114]) ).
cnf(c_0_117,plain,
( aDimensionOf0(xq) = X1
| szszuzczcdt0(X1) != aDimensionOf0(xt)
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ~ aNaturalNumber0(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_118,plain,
( aNaturalNumber0(aDimensionOf0(X1))
| ~ aVector0(X1) ),
i_0_45 ).
cnf(c_0_119,hypothesis,
aVector0(xq),
i_0_65 ).
cnf(c_0_120,hypothesis,
sziznziztdt0(xs) = xp,
i_0_62 ).
cnf(c_0_121,hypothesis,
aVector0(xs),
i_0_58 ).
cnf(c_0_122,plain,
( aDimensionOf0(xq) = X1
| szszuzczcdt0(X1) != aDimensionOf0(xt)
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]) ).
cnf(c_0_123,hypothesis,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xt),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_120]),c_0_110]),c_0_110]),c_0_121])]),c_0_114]) ).
cnf(c_0_124,hypothesis,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1)
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(xs)) ),
i_0_59 ).
cnf(c_0_125,hypothesis,
( aDimensionOf0(xq) = aDimensionOf0(xp)
| ~ aNaturalNumber0(aDimensionOf0(xp)) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_126,hypothesis,
aVector0(xp),
i_0_63 ).
cnf(c_0_127,hypothesis,
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ iLess0(aDimensionOf0(X1),aDimensionOf0(xt))
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(rw,[status(thm)],[c_0_124,c_0_110]) ).
cnf(c_0_128,hypothesis,
sdtasasdt0(xp,xq) = xE,
i_0_74 ).
cnf(c_0_129,hypothesis,
sdtasasdt0(xp,xp) = xC,
i_0_70 ).
cnf(c_0_130,hypothesis,
sdtasasdt0(xq,xq) = xD,
i_0_72 ).
cnf(c_0_131,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
i_0_90 ).
cnf(c_0_132,plain,
aDimensionOf0(xq) = aDimensionOf0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_118]),c_0_126])]) ).
cnf(c_0_133,hypothesis,
( aDimensionOf0(xq) != aDimensionOf0(xp)
| ~ iLess0(aDimensionOf0(xp),aDimensionOf0(xt)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129]),c_0_130]),c_0_119]),c_0_126])]),c_0_131]) ).
cnf(c_0_134,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aNaturalNumber0(X1) ),
i_0_9 ).
cnf(c_0_135,plain,
aNaturalNumber0(aDimensionOf0(xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_132]),c_0_119])]) ).
cnf(c_0_136,hypothesis,
~ iLess0(aDimensionOf0(xp),aDimensionOf0(xt)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_132])]) ).
cnf(c_0_137,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_123]),c_0_135])]),c_0_136]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG052+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n018.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 06:57:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 7.65/2.32 # ENIGMATIC: Solved by autoschedule:
% 7.65/2.32 # No SInE strategy applied
% 7.65/2.32 # Trying AutoSched0 for 150 seconds
% 7.65/2.32 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.65/2.32 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.65/2.32 #
% 7.65/2.32 # Preprocessing time : 0.020 s
% 7.65/2.32
% 7.65/2.32 # Proof found!
% 7.65/2.32 # SZS status Theorem
% 7.65/2.32 # SZS output start CNFRefutation
% See solution above
% 7.65/2.32 # Training examples: 0 positive, 0 negative
% 7.65/2.32
% 7.65/2.32 # -------------------------------------------------
% 7.65/2.32 # User time : 0.027 s
% 7.65/2.32 # System time : 0.008 s
% 7.65/2.32 # Total time : 0.034 s
% 7.65/2.32 # Maximum resident set size: 7124 pages
% 7.65/2.32
%------------------------------------------------------------------------------