TSTP Solution File: RNG122+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG122+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 20:25:03 EDT 2022
% Result : Theorem 7.03s 2.14s
% Output : CNFRefutation 7.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of clauses : 45 ( 25 unt; 0 nHn; 45 RR)
% Number of literals : 78 ( 21 equ; 39 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_54,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_54) ).
cnf(i_0_99,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/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-3alxbckw/input.p',i_0_26) ).
cnf(i_0_108,hypothesis,
aElementOf0(xu,xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_108) ).
cnf(i_0_116,hypothesis,
sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_116) ).
cnf(i_0_13,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_13) ).
cnf(i_0_118,hypothesis,
aElement0(xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_118) ).
cnf(i_0_120,hypothesis,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_120) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_7) ).
cnf(i_0_117,hypothesis,
aElement0(xr),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_117) ).
cnf(i_0_122,negated_conjecture,
sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) != xr,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_122) ).
cnf(i_0_94,hypothesis,
aElement0(xb),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_94) ).
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-3alxbckw/input.p',i_0_8) ).
cnf(i_0_12,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_12) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_10) ).
cnf(i_0_6,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-3alxbckw/input.p',i_0_6) ).
cnf(c_0_139,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
i_0_54 ).
cnf(c_0_140,hypothesis,
aIdeal0(xI),
i_0_99 ).
cnf(c_0_141,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_26 ).
cnf(c_0_142,hypothesis,
aElementOf0(xu,xI),
i_0_108 ).
cnf(c_0_143,plain,
aSet0(xI),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_144,hypothesis,
sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
i_0_116 ).
cnf(c_0_145,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_13 ).
cnf(c_0_146,hypothesis,
aElement0(xq),
i_0_118 ).
cnf(c_0_147,hypothesis,
aElement0(xu),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143])]) ).
cnf(c_0_148,hypothesis,
aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
i_0_120 ).
cnf(c_0_149,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_7 ).
cnf(c_0_150,hypothesis,
sdtpldt0(sdtasdt0(xu,xq),xr) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]),c_0_147])]) ).
cnf(c_0_151,hypothesis,
aElement0(xr),
i_0_117 ).
cnf(c_0_152,negated_conjecture,
sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) != xr,
i_0_122 ).
cnf(c_0_153,hypothesis,
aElement0(smndt0(sdtasdt0(xq,xu))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_148]),c_0_143])]) ).
cnf(c_0_154,hypothesis,
aElement0(xb),
i_0_94 ).
cnf(c_0_155,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_8 ).
cnf(c_0_156,plain,
( sdtpldt0(xr,sdtasdt0(xu,xq)) = xb
| ~ aElement0(sdtasdt0(xu,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151])]) ).
cnf(c_0_157,negated_conjecture,
sdtpldt0(xb,smndt0(sdtasdt0(xq,xu))) != xr,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_149]),c_0_153]),c_0_154])]) ).
cnf(c_0_158,plain,
( sdtpldt0(xr,sdtpldt0(sdtasdt0(xu,xq),X1)) = sdtpldt0(xb,X1)
| ~ aElement0(sdtasdt0(xu,xq))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_151])]) ).
cnf(c_0_159,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
i_0_12 ).
cnf(c_0_160,hypothesis,
aElement0(smndt0(sdtasdt0(xu,xq))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_145]),c_0_146]),c_0_147])]) ).
cnf(c_0_161,plain,
sdtpldt0(xb,smndt0(sdtasdt0(xu,xq))) != xr,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_145]),c_0_146]),c_0_147])]) ).
cnf(c_0_162,plain,
( sdtpldt0(xb,smndt0(sdtasdt0(xu,xq))) = sdtpldt0(xr,sz00)
| ~ aElement0(sdtasdt0(xu,xq)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160])]) ).
cnf(c_0_163,plain,
( sdtpldt0(xr,sz00) != xr
| ~ aElement0(sdtasdt0(xu,xq)) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_164,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
i_0_10 ).
cnf(c_0_165,plain,
~ aElement0(sdtasdt0(xu,xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_151])]) ).
cnf(c_0_166,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_6 ).
cnf(c_0_167,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_146]),c_0_147])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG122+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon May 30 21:50:44 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 # ENIGMATIC: Selected complete mode:
% 7.03/2.14 # ENIGMATIC: Solved by autoschedule:
% 7.03/2.14 # No SInE strategy applied
% 7.03/2.14 # Trying AutoSched0 for 150 seconds
% 7.03/2.14 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S050N
% 7.03/2.14 # and selection function PSelectNewComplexExceptUniqMaxHorn.
% 7.03/2.14 #
% 7.03/2.14 # Preprocessing time : 0.025 s
% 7.03/2.14 # Presaturation interreduction done
% 7.03/2.14
% 7.03/2.14 # Proof found!
% 7.03/2.14 # SZS status Theorem
% 7.03/2.14 # SZS output start CNFRefutation
% See solution above
% 7.03/2.14 # Training examples: 0 positive, 0 negative
% 7.03/2.14
% 7.03/2.14 # -------------------------------------------------
% 7.03/2.14 # User time : 0.049 s
% 7.03/2.14 # System time : 0.008 s
% 7.03/2.14 # Total time : 0.057 s
% 7.03/2.14 # Maximum resident set size: 7120 pages
% 7.03/2.14
%------------------------------------------------------------------------------