TSTP Solution File: RNG121+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG121+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 20:25:03 EDT 2022
% Result : Theorem 10.32s 2.61s
% Output : CNFRefutation 10.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of clauses : 55 ( 28 unt; 0 nHn; 55 RR)
% Number of literals : 115 ( 20 equ; 65 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_10) ).
cnf(i_0_8,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_8) ).
cnf(i_0_2,plain,
aElement0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_2) ).
cnf(i_0_5,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_5) ).
cnf(i_0_116,hypothesis,
sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_116) ).
cnf(i_0_117,hypothesis,
aElement0(xr),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_117) ).
cnf(i_0_35,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt1(X3,X4)
| sdtpldt0(X5,X6) != X1
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElementOf0(X6,X4)
| ~ aElementOf0(X5,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_35) ).
cnf(i_0_98,hypothesis,
sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) = xI,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_98) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_7) ).
cnf(i_0_94,hypothesis,
aElement0(xb),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_94) ).
cnf(i_0_100,hypothesis,
aElementOf0(xb,slsdtgt0(xb)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_100) ).
cnf(i_0_103,hypothesis,
aElementOf0(sz00,slsdtgt0(xa)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_103) ).
cnf(i_0_121,negated_conjecture,
~ aElementOf0(xb,xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_121) ).
cnf(i_0_92,plain,
( aSet0(X1)
| X1 != slsdtgt0(X2)
| ~ aElement0(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_92) ).
cnf(i_0_95,hypothesis,
aElement0(xa),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_95) ).
cnf(i_0_54,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_54) ).
cnf(i_0_99,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_99) ).
cnf(i_0_26,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_26) ).
cnf(i_0_108,hypothesis,
aElementOf0(xu,xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_108) ).
cnf(i_0_6,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_6) ).
cnf(i_0_118,hypothesis,
aElement0(xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-5_39l_ff/input.p',i_0_118) ).
cnf(c_0_143,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
i_0_10 ).
cnf(c_0_144,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_8 ).
cnf(c_0_145,plain,
aElement0(sz00),
i_0_2 ).
cnf(c_0_146,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_5 ).
cnf(c_0_147,hypothesis,
sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
i_0_116 ).
cnf(c_0_148,hypothesis,
aElement0(xr),
i_0_117 ).
cnf(c_0_149,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt1(X3,X4)
| sdtpldt0(X5,X6) != X1
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElementOf0(X6,X4)
| ~ aElementOf0(X5,X3) ),
i_0_35 ).
cnf(c_0_150,plain,
( sdtpldt0(X1,sdtpldt0(X2,sz00)) = sdtpldt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]),c_0_146]) ).
cnf(c_0_151,hypothesis,
( sdtpldt0(sdtasdt0(xq,xu),sdtpldt0(xr,X1)) = sdtpldt0(xb,X1)
| ~ aElement0(sdtasdt0(xq,xu))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_147]),c_0_148])]) ).
cnf(c_0_152,plain,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(X3,X4))
| ~ aSet0(X4)
| ~ aSet0(X3)
| ~ aElementOf0(X2,X4)
| ~ aElementOf0(X1,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_149])]) ).
cnf(c_0_153,hypothesis,
sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) = xI,
i_0_98 ).
cnf(c_0_154,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_7 ).
cnf(c_0_155,plain,
( sdtpldt0(xb,sz00) = xb
| ~ aElement0(sdtasdt0(xq,xu)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_147]),c_0_148]),c_0_145])]) ).
cnf(c_0_156,hypothesis,
aElement0(xb),
i_0_94 ).
cnf(c_0_157,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),xI)
| ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_158,plain,
( sdtpldt0(sz00,xb) = xb
| ~ aElement0(sdtasdt0(xq,xu)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_145]),c_0_156])]) ).
cnf(c_0_159,hypothesis,
aElementOf0(xb,slsdtgt0(xb)),
i_0_100 ).
cnf(c_0_160,hypothesis,
aElementOf0(sz00,slsdtgt0(xa)),
i_0_103 ).
cnf(c_0_161,negated_conjecture,
~ aElementOf0(xb,xI),
i_0_121 ).
cnf(c_0_162,plain,
( aSet0(X1)
| X1 != slsdtgt0(X2)
| ~ aElement0(X2) ),
i_0_92 ).
cnf(c_0_163,plain,
( ~ aSet0(slsdtgt0(xb))
| ~ aSet0(slsdtgt0(xa))
| ~ aElement0(sdtasdt0(xq,xu)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_160])]),c_0_161]) ).
cnf(c_0_164,plain,
( aSet0(slsdtgt0(X1))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_162]) ).
cnf(c_0_165,hypothesis,
aElement0(xa),
i_0_95 ).
cnf(c_0_166,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
i_0_54 ).
cnf(c_0_167,hypothesis,
aIdeal0(xI),
i_0_99 ).
cnf(c_0_168,plain,
( ~ aSet0(slsdtgt0(xb))
| ~ aElement0(sdtasdt0(xq,xu)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165])]) ).
cnf(c_0_169,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_26 ).
cnf(c_0_170,hypothesis,
aElementOf0(xu,xI),
i_0_108 ).
cnf(c_0_171,hypothesis,
aSet0(xI),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_172,plain,
~ aElement0(sdtasdt0(xq,xu)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_164]),c_0_156])]) ).
cnf(c_0_173,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_6 ).
cnf(c_0_174,hypothesis,
aElement0(xu),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171])]) ).
cnf(c_0_175,hypothesis,
aElement0(xq),
i_0_118 ).
cnf(c_0_176,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]),c_0_175])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG121+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon May 30 13:21:42 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.43 # ENIGMATIC: Selected complete mode:
% 10.32/2.61 # ENIGMATIC: Solved by autoschedule:
% 10.32/2.61 # No SInE strategy applied
% 10.32/2.61 # Trying AutoSched0 for 150 seconds
% 10.32/2.61 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S050N
% 10.32/2.61 # and selection function PSelectNewComplexExceptUniqMaxHorn.
% 10.32/2.61 #
% 10.32/2.61 # Preprocessing time : 0.015 s
% 10.32/2.61 # Presaturation interreduction done
% 10.32/2.61
% 10.32/2.61 # Proof found!
% 10.32/2.61 # SZS status Theorem
% 10.32/2.61 # SZS output start CNFRefutation
% See solution above
% 10.32/2.61 # Training examples: 0 positive, 0 negative
% 10.32/2.61
% 10.32/2.61 # -------------------------------------------------
% 10.32/2.61 # User time : 0.159 s
% 10.32/2.61 # System time : 0.014 s
% 10.32/2.61 # Total time : 0.173 s
% 10.32/2.61 # Maximum resident set size: 7116 pages
% 10.32/2.61
%------------------------------------------------------------------------------