TSTP Solution File: RNG097+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : RNG097+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 20:24:58 EDT 2022
% Result : Theorem 17.41s 3.66s
% Output : CNFRefutation 17.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 20
% Syntax : Number of clauses : 63 ( 28 unt; 0 nHn; 63 RR)
% Number of literals : 122 ( 29 equ; 66 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_26) ).
cnf(i_0_75,hypothesis,
aElementOf0(xa,xI),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_75) ).
cnf(i_0_66,hypothesis,
aSet0(xI),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_66) ).
cnf(i_0_74,hypothesis,
aElementOf0(xb,xJ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_74) ).
cnf(i_0_62,hypothesis,
aSet0(xJ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_62) ).
cnf(i_0_73,hypothesis,
sdtpldt0(xa,xb) = sz10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_73) ).
cnf(i_0_7,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_7) ).
cnf(i_0_8,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_8) ).
cnf(i_0_11,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_11) ).
cnf(i_0_4,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_4) ).
cnf(i_0_12,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_12) ).
cnf(i_0_3,plain,
aElement0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_3) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_10) ).
cnf(i_0_78,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_78) ).
cnf(i_0_64,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xI) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_64) ).
cnf(i_0_72,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_72) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_9) ).
cnf(i_0_52,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aIdeal0(X3)
| ~ aElementOf0(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_52) ).
cnf(i_0_20,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_20) ).
cnf(i_0_63,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_5wmj4fu/input.p',i_0_63) ).
cnf(c_0_99,plain,
( aElement0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X1,X2) ),
i_0_26 ).
cnf(c_0_100,hypothesis,
aElementOf0(xa,xI),
i_0_75 ).
cnf(c_0_101,hypothesis,
aSet0(xI),
i_0_66 ).
cnf(c_0_102,hypothesis,
aElementOf0(xb,xJ),
i_0_74 ).
cnf(c_0_103,hypothesis,
aSet0(xJ),
i_0_62 ).
cnf(c_0_104,hypothesis,
sdtpldt0(xa,xb) = sz10,
i_0_73 ).
cnf(c_0_105,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_7 ).
cnf(c_0_106,hypothesis,
aElement0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_107,hypothesis,
aElement0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_102]),c_0_103])]) ).
cnf(c_0_108,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
i_0_8 ).
cnf(c_0_109,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aElement0(X1) ),
i_0_11 ).
cnf(c_0_110,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
i_0_4 ).
cnf(c_0_111,hypothesis,
sdtpldt0(xb,xa) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106]),c_0_107])]) ).
cnf(c_0_112,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]) ).
cnf(c_0_113,plain,
( sdtpldt0(xb,sdtpldt0(xa,X1)) = sdtpldt0(sz10,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_111]),c_0_106]),c_0_107])]) ).
cnf(c_0_114,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
i_0_12 ).
cnf(c_0_115,hypothesis,
sdtpldt0(smndt0(xa),sz10) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_104]),c_0_107]),c_0_106])]) ).
cnf(c_0_116,plain,
aElement0(sz10),
i_0_3 ).
cnf(c_0_117,plain,
( sdtpldt0(sz10,smndt0(xa)) = sdtpldt0(xb,sz00)
| ~ aElement0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_106])]) ).
cnf(c_0_118,plain,
( sdtpldt0(sz10,smndt0(xa)) = sdtpldt0(sz00,xb)
| ~ aElement0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_115]),c_0_116])]) ).
cnf(c_0_119,plain,
( sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb)
| ~ aElement0(smndt0(xa)) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_120,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
i_0_10 ).
cnf(c_0_121,plain,
sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_110]),c_0_106])]) ).
cnf(c_0_122,plain,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_107])]) ).
cnf(c_0_123,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X2,X1)) = sdtpldt0(sz00,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_105]) ).
cnf(c_0_124,hypothesis,
sdtpldt0(smndt0(xa),sz10) = xb,
inference(rw,[status(thm)],[c_0_115,c_0_122]) ).
cnf(c_0_125,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
i_0_78 ).
cnf(c_0_126,hypothesis,
( aElementOf0(sdtasdt0(X1,X2),xI)
| ~ aElement0(X1)
| ~ aElementOf0(X2,xI) ),
i_0_64 ).
cnf(c_0_127,hypothesis,
aElement0(xx),
i_0_72 ).
cnf(c_0_128,plain,
( sdtpldt0(smndt0(sz10),xb) = sdtpldt0(sz00,smndt0(xa))
| ~ aElement0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_116])]) ).
cnf(c_0_129,negated_conjecture,
~ aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127])]) ).
cnf(c_0_130,plain,
( sdtpldt0(xb,smndt0(sz10)) = sdtpldt0(sz00,smndt0(xa))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_128]),c_0_107])]) ).
cnf(c_0_131,negated_conjecture,
( ~ aElementOf0(sdtpldt0(sz00,smndt0(xa)),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(smndt0(xa)) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_132,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aElement0(X1) ),
i_0_9 ).
cnf(c_0_133,plain,
( ~ aElementOf0(smndt0(xa),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(smndt0(xa)) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_134,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aIdeal0(X3)
| ~ aElementOf0(X2,X3) ),
i_0_52 ).
cnf(c_0_135,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
i_0_20 ).
cnf(c_0_136,plain,
( ~ aElementOf0(smndt0(xa),xI)
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_110]),c_0_106])]) ).
cnf(c_0_137,plain,
( aElementOf0(smndt0(X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_138,plain,
~ aElementOf0(smndt0(xa),xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_110]),c_0_116])]) ).
cnf(c_0_139,plain,
( aElementOf0(smndt0(X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aIdeal0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_110]),c_0_116])]) ).
cnf(c_0_140,hypothesis,
aIdeal0(xI),
i_0_63 ).
cnf(c_0_141,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_100]),c_0_140]),c_0_106])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG097+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 06:40:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 17.41/3.66 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.41/3.66 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 30; version: 991; iters: 150)
% 17.41/3.66 # Preprocessing time : 1.095 s
% 17.41/3.66
% 17.41/3.66 # Proof found!
% 17.41/3.66 # SZS status Theorem
% 17.41/3.66 # SZS output start CNFRefutation
% See solution above
% 17.41/3.66 # Training examples: 0 positive, 0 negative
% 17.41/3.66
% 17.41/3.66 # -------------------------------------------------
% 17.41/3.66 # User time : 1.106 s
% 17.41/3.66 # System time : 0.124 s
% 17.41/3.66 # Total time : 1.230 s
% 17.41/3.66 # ...preprocessing : 1.095 s
% 17.41/3.66 # ...main loop : 0.135 s
% 17.41/3.66 # Maximum resident set size: 175800 pages
% 17.41/3.66
%------------------------------------------------------------------------------