TSTP Solution File: NUM426+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM426+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 08:35:52 EDT 2022
% Result : Theorem 22.30s 4.12s
% Output : CNFRefutation 22.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of clauses : 95 ( 45 unt; 3 nHn; 95 RR)
% Number of literals : 184 ( 73 equ; 94 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_7) ).
cnf(i_0_37,hypothesis,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_37) ).
cnf(i_0_35,hypothesis,
aInteger0(xa),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_35) ).
cnf(i_0_4,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_4) ).
cnf(i_0_34,hypothesis,
aInteger0(xb),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_34) ).
cnf(i_0_5,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_5) ).
cnf(i_0_11,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_11) ).
cnf(i_0_8,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_8) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_10) ).
cnf(i_0_2,plain,
aInteger0(sz00),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_2) ).
cnf(i_0_12,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_12) ).
cnf(i_0_24,plain,
( X1 = sz00
| aDivisorOf0(X1,X2)
| sdtasdt0(X1,X3) != X2
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_24) ).
cnf(i_0_38,hypothesis,
aInteger0(xn),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_38) ).
cnf(i_0_33,hypothesis,
aInteger0(xq),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_33) ).
cnf(i_0_32,hypothesis,
sz00 != xq,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_32) ).
cnf(i_0_25,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_25) ).
cnf(i_0_26,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_26) ).
cnf(i_0_13,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_13) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_9) ).
cnf(i_0_16,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_16) ).
cnf(i_0_3,plain,
aInteger0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_3) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_14) ).
cnf(i_0_22,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_22) ).
cnf(i_0_39,negated_conjecture,
sdtpldt0(xb,smndt0(xa)) != sdtasdt0(xq,smndt0(xn)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-z6px0kqc/input.p',i_0_39) ).
cnf(c_0_64,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_7 ).
cnf(c_0_65,hypothesis,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,xn),
i_0_37 ).
cnf(c_0_66,hypothesis,
aInteger0(xa),
i_0_35 ).
cnf(c_0_67,hypothesis,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,xn),X1)
| ~ aInteger0(smndt0(xb))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
cnf(c_0_68,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
i_0_4 ).
cnf(c_0_69,hypothesis,
aInteger0(xb),
i_0_34 ).
cnf(c_0_70,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_5 ).
cnf(c_0_71,plain,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,xn),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).
cnf(c_0_72,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
i_0_11 ).
cnf(c_0_73,hypothesis,
( aInteger0(sdtasdt0(xq,xn))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65]),c_0_66])]) ).
cnf(c_0_74,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_8 ).
cnf(c_0_75,plain,
sdtpldt0(sdtasdt0(xq,xn),xb) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_69])]) ).
cnf(c_0_76,plain,
aInteger0(sdtasdt0(xq,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_68]),c_0_69])]) ).
cnf(c_0_77,plain,
sdtpldt0(xb,sdtasdt0(xq,xn)) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_69]),c_0_76])]) ).
cnf(c_0_78,plain,
( sdtpldt0(sdtasdt0(xq,xn),sdtpldt0(xb,X1)) = sdtpldt0(sdtpldt0(xa,sz00),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_75]),c_0_69]),c_0_76])]) ).
cnf(c_0_79,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
i_0_10 ).
cnf(c_0_80,plain,
aInteger0(sz00),
i_0_2 ).
cnf(c_0_81,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(smndt0(X1))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_72]) ).
cnf(c_0_82,plain,
( sdtpldt0(xb,sdtpldt0(sdtasdt0(xq,xn),X1)) = sdtpldt0(sdtpldt0(xa,sz00),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_77]),c_0_76]),c_0_69])]) ).
cnf(c_0_83,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
i_0_12 ).
cnf(c_0_84,plain,
sdtpldt0(sdtpldt0(xa,sz00),sz00) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_75]),c_0_80]),c_0_69])]) ).
cnf(c_0_85,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_68]) ).
cnf(c_0_86,plain,
( sdtpldt0(sdtpldt0(xa,sz00),smndt0(sdtasdt0(xq,xn))) = sdtpldt0(xb,sz00)
| ~ aInteger0(smndt0(sdtasdt0(xq,xn))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_76])]) ).
cnf(c_0_87,plain,
sdtpldt0(xa,sz00) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_79]),c_0_66])]) ).
cnf(c_0_88,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xn)),sdtpldt0(xa,sz00)) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_75]),c_0_69]),c_0_76])]) ).
cnf(c_0_89,plain,
( sdtpldt0(xa,smndt0(sdtasdt0(xq,xn))) = sdtpldt0(xb,sz00)
| ~ aInteger0(smndt0(sdtasdt0(xq,xn))) ),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_79]),c_0_66])]) ).
cnf(c_0_91,plain,
sdtpldt0(xa,smndt0(sdtasdt0(xq,xn))) = sdtpldt0(xb,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_68]),c_0_76])]) ).
cnf(c_0_92,plain,
( sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb)
| ~ aInteger0(smndt0(sdtasdt0(xq,xn))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_90]),c_0_66])]),c_0_91]) ).
cnf(c_0_93,plain,
( X1 = sz00
| aDivisorOf0(X1,X2)
| sdtasdt0(X1,X3) != X2
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| ~ aInteger0(X1) ),
i_0_24 ).
cnf(c_0_94,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X2,X1)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_74]) ).
cnf(c_0_95,plain,
sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_68]),c_0_76])]) ).
cnf(c_0_96,plain,
( X1 = sz00
| aDivisorOf0(X1,sdtasdt0(X1,X2))
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(er,[status(thm)],[c_0_93]) ).
cnf(c_0_97,hypothesis,
aInteger0(xn),
i_0_38 ).
cnf(c_0_98,hypothesis,
aInteger0(xq),
i_0_33 ).
cnf(c_0_99,hypothesis,
sz00 != xq,
i_0_32 ).
cnf(c_0_100,plain,
( sdtpldt0(smndt0(xa),sdtpldt0(sz00,xb)) = sdtpldt0(sz00,smndt0(sdtasdt0(xq,xn)))
| ~ aInteger0(smndt0(sdtasdt0(xq,xn))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_90]),c_0_66])]) ).
cnf(c_0_101,plain,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_95]),c_0_69])]) ).
cnf(c_0_102,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
i_0_25 ).
cnf(c_0_103,plain,
aDivisorOf0(xq,sdtasdt0(xq,xn)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_76]),c_0_97]),c_0_98])]),c_0_99]) ).
cnf(c_0_104,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
i_0_26 ).
cnf(c_0_105,plain,
( sdtpldt0(sz00,smndt0(sdtasdt0(xq,xn))) = sdtpldt0(smndt0(xa),xb)
| ~ aInteger0(smndt0(sdtasdt0(xq,xn))) ),
inference(rw,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_13 ).
cnf(c_0_107,plain,
sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq)) = sdtasdt0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_76])]) ).
cnf(c_0_108,plain,
aInteger0(esk1_2(sdtasdt0(xq,xn),xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_103]),c_0_76])]) ).
cnf(c_0_109,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
i_0_9 ).
cnf(c_0_110,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,xn))) = sdtpldt0(smndt0(xa),xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_68]),c_0_76])]) ).
cnf(c_0_111,plain,
( sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xn),xq),X1)) = sdtasdt0(sdtasdt0(xq,xn),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_98])]) ).
cnf(c_0_112,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aInteger0(X1) ),
i_0_16 ).
cnf(c_0_113,plain,
aInteger0(sz10),
i_0_3 ).
cnf(c_0_114,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_14 ).
cnf(c_0_115,plain,
( sdtpldt0(smndt0(xa),xb) = smndt0(sdtasdt0(xq,xn))
| ~ aInteger0(smndt0(sdtasdt0(xq,xn))) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_116,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
i_0_22 ).
cnf(c_0_117,plain,
sdtasdt0(sdtasdt0(xq,xn),sz10) = sdtasdt0(xq,xn),
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_112]),c_0_107]),c_0_113]),c_0_108])]) ).
cnf(c_0_118,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X2,sdtasdt0(X1,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_114]) ).
cnf(c_0_119,plain,
sdtpldt0(smndt0(xa),xb) = smndt0(sdtasdt0(xq,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_68]),c_0_76])]) ).
cnf(c_0_120,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_116]) ).
cnf(c_0_121,plain,
sdtasdt0(xn,sdtasdt0(xq,sz10)) = sdtasdt0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_113]),c_0_98]),c_0_97])]) ).
cnf(c_0_122,plain,
( sdtpldt0(xb,smndt0(xa)) = smndt0(sdtasdt0(xq,xn))
| ~ aInteger0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_119]),c_0_69])]) ).
cnf(c_0_123,plain,
( sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2)) = sdtasdt0(smndt0(X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_68]),c_0_113])]) ).
cnf(c_0_124,plain,
sdtasdt0(xn,xq) = sdtasdt0(xq,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_112]),c_0_98])]) ).
cnf(c_0_125,negated_conjecture,
sdtpldt0(xb,smndt0(xa)) != sdtasdt0(xq,smndt0(xn)),
i_0_39 ).
cnf(c_0_126,plain,
sdtpldt0(xb,smndt0(xa)) = smndt0(sdtasdt0(xq,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_68]),c_0_66])]) ).
cnf(c_0_127,plain,
sdtasdt0(smndt0(sz10),sdtasdt0(xq,xn)) = sdtasdt0(smndt0(xn),xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_98]),c_0_97])]) ).
cnf(c_0_128,negated_conjecture,
smndt0(sdtasdt0(xq,xn)) != sdtasdt0(xq,smndt0(xn)),
inference(rw,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_129,plain,
smndt0(sdtasdt0(xq,xn)) = sdtasdt0(smndt0(xn),xq),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_127]),c_0_76])]) ).
cnf(c_0_130,negated_conjecture,
sdtasdt0(smndt0(xn),xq) != sdtasdt0(xq,smndt0(xn)),
inference(rw,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_131,plain,
sdtasdt0(smndt0(xn),xq) = sdtasdt0(smndt0(xq),xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_127]),c_0_97]),c_0_98])]) ).
cnf(c_0_132,negated_conjecture,
sdtasdt0(smndt0(xq),xn) != sdtasdt0(xq,smndt0(xn)),
inference(rw,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_133,plain,
~ aInteger0(smndt0(xn)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_131]),c_0_98])]),c_0_132]) ).
cnf(c_0_134,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_68]),c_0_97])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM426+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 5 14:55:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 22.30/4.12 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 22.30/4.12 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 25; version: 991; iters: 150)
% 22.30/4.12 # Preprocessing time : 0.872 s
% 22.30/4.12 # Presaturation interreduction done
% 22.30/4.12
% 22.30/4.12 # Proof found!
% 22.30/4.12 # SZS status Theorem
% 22.30/4.12 # SZS output start CNFRefutation
% See solution above
% 22.30/4.12 # Training examples: 0 positive, 0 negative
% 22.30/4.12
% 22.30/4.12 # -------------------------------------------------
% 22.30/4.12 # User time : 1.830 s
% 22.30/4.12 # System time : 0.133 s
% 22.30/4.12 # Total time : 1.963 s
% 22.30/4.12 # ...preprocessing : 0.872 s
% 22.30/4.12 # ...main loop : 1.091 s
% 22.30/4.12 # Maximum resident set size: 167656 pages
% 22.30/4.12
%------------------------------------------------------------------------------