TSTP Solution File: NUM424+3 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM424+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n015.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 08:35:51 EDT 2022
% Result : Theorem 27.86s 4.83s
% Output : CNFRefutation 27.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 23
% Syntax : Number of clauses : 128 ( 59 unt; 0 nHn; 128 RR)
% Number of literals : 236 ( 92 equ; 116 neg)
% Maximal clause size : 4 ( 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 : 86 ( 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/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_7) ).
cnf(i_0_41,negated_conjecture,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,esk2_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_41) ).
cnf(i_0_35,hypothesis,
aInteger0(xa),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_35) ).
cnf(i_0_4,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_4) ).
cnf(i_0_34,hypothesis,
aInteger0(xb),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_34) ).
cnf(i_0_5,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_5) ).
cnf(i_0_10,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_10) ).
cnf(i_0_2,plain,
aInteger0(sz00),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_2) ).
cnf(i_0_11,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_11) ).
cnf(i_0_8,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_8) ).
cnf(i_0_12,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_12) ).
cnf(i_0_18,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_18) ).
cnf(i_0_6,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_6) ).
cnf(i_0_22,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_22) ).
cnf(i_0_3,plain,
aInteger0(sz10),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_3) ).
cnf(i_0_9,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_9) ).
cnf(i_0_40,negated_conjecture,
aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_40) ).
cnf(i_0_38,negated_conjecture,
( sdtasdt0(xq,X1) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_38) ).
cnf(i_0_14,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_14) ).
cnf(i_0_33,hypothesis,
aInteger0(xq),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_33) ).
cnf(i_0_13,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_13) ).
cnf(i_0_25,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_25) ).
cnf(i_0_26,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-s0kkt3hc/lgb.p',i_0_26) ).
cnf(c_0_65,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_7 ).
cnf(c_0_66,negated_conjecture,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,esk2_0),
i_0_41 ).
cnf(c_0_67,hypothesis,
aInteger0(xa),
i_0_35 ).
cnf(c_0_68,negated_conjecture,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1)
| ~ aInteger0(smndt0(xb))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_69,plain,
( aInteger0(smndt0(X1))
| ~ aInteger0(X1) ),
i_0_4 ).
cnf(c_0_70,hypothesis,
aInteger0(xb),
i_0_34 ).
cnf(c_0_71,plain,
( aInteger0(sdtpldt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_5 ).
cnf(c_0_72,plain,
( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_73,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aInteger0(X1) ),
i_0_10 ).
cnf(c_0_74,plain,
aInteger0(sz00),
i_0_2 ).
cnf(c_0_75,plain,
( sdtpldt0(smndt0(X1),X1) = sz00
| ~ aInteger0(X1) ),
i_0_11 ).
cnf(c_0_76,negated_conjecture,
( aInteger0(sdtasdt0(xq,esk2_0))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_66]),c_0_67])]) ).
cnf(c_0_77,plain,
( sdtpldt0(sdtasdt0(xq,esk2_0),sz00) = sdtasdt0(xq,esk2_0)
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_66]),c_0_74])]) ).
cnf(c_0_78,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_8 ).
cnf(c_0_79,plain,
sdtpldt0(sdtasdt0(xq,esk2_0),xb) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_75]),c_0_70])]) ).
cnf(c_0_80,plain,
aInteger0(sdtasdt0(xq,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_69]),c_0_70])]) ).
cnf(c_0_81,plain,
sdtpldt0(sdtasdt0(xq,esk2_0),sz00) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_69]),c_0_70])]) ).
cnf(c_0_82,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_75]),c_0_69]) ).
cnf(c_0_83,plain,
sdtpldt0(xb,sdtasdt0(xq,esk2_0)) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_70]),c_0_80])]) ).
cnf(c_0_84,plain,
sdtpldt0(sz00,sdtasdt0(xq,esk2_0)) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_81]),c_0_74]),c_0_80])]) ).
cnf(c_0_85,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aInteger0(X1) ),
i_0_12 ).
cnf(c_0_86,plain,
sdtpldt0(smndt0(xb),sdtpldt0(xa,sz00)) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_80]),c_0_70])]) ).
cnf(c_0_87,plain,
( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_85]),c_0_69]) ).
cnf(c_0_88,plain,
sdtpldt0(smndt0(xb),xa) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_73]),c_0_67])]) ).
cnf(c_0_89,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_18 ).
cnf(c_0_90,plain,
( aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_6 ).
cnf(c_0_91,plain,
sdtpldt0(xa,sz00) = sdtpldt0(sz00,xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_83]),c_0_67]),c_0_70])]) ).
cnf(c_0_92,plain,
( aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_89]),c_0_90]),c_0_90]) ).
cnf(c_0_93,plain,
sdtpldt0(sz00,xa) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_91]),c_0_67])]) ).
cnf(c_0_94,plain,
( aInteger0(sdtasdt0(X1,xa))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_67]),c_0_74])]) ).
cnf(c_0_95,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aInteger0(X1) ),
i_0_22 ).
cnf(c_0_96,plain,
( sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00
| ~ aInteger0(smndt0(sdtpldt0(X1,X2)))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_65]),c_0_71]) ).
cnf(c_0_97,plain,
sdtpldt0(sdtasdt0(xq,esk2_0),xb) = xa,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_91]),c_0_93]) ).
cnf(c_0_98,plain,
( aInteger0(smndt0(xa))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_67])]) ).
cnf(c_0_99,plain,
aInteger0(sz10),
i_0_3 ).
cnf(c_0_100,plain,
( sdtpldt0(sdtasdt0(xq,esk2_0),sdtpldt0(xb,smndt0(xa))) = sz00
| ~ aInteger0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_70]),c_0_80])]) ).
cnf(c_0_101,plain,
aInteger0(smndt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_69]),c_0_99])]) ).
cnf(c_0_102,negated_conjecture,
( sdtpldt0(smndt0(xa),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(xb))
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_66]),c_0_67])]) ).
cnf(c_0_103,plain,
( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_65]),c_0_71]) ).
cnf(c_0_104,plain,
sdtpldt0(sdtasdt0(xq,esk2_0),sdtpldt0(xb,smndt0(xa))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]) ).
cnf(c_0_105,plain,
sdtpldt0(smndt0(xa),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_69]),c_0_70])]) ).
cnf(c_0_106,plain,
sdtpldt0(xb,sdtpldt0(sz00,smndt0(xb))) = sz00,
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_103,c_0_104]),c_0_105]),c_0_80]),c_0_101]),c_0_70])]) ).
cnf(c_0_107,plain,
( sdtpldt0(sz00,X1) = X1
| ~ aInteger0(X1) ),
i_0_9 ).
cnf(c_0_108,plain,
( sdtpldt0(sz00,sdtpldt0(smndt0(xb),xb)) = sz00
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_106]),c_0_70]),c_0_74])]) ).
cnf(c_0_109,plain,
( sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_107]),c_0_74])]) ).
cnf(c_0_110,plain,
sdtpldt0(sz00,sdtpldt0(smndt0(xb),xb)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_69]),c_0_70])]) ).
cnf(c_0_111,plain,
( sdtpldt0(smndt0(xb),xb) = sz00
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_70])]) ).
cnf(c_0_112,plain,
sdtpldt0(smndt0(xb),xb) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_69]),c_0_70])]) ).
cnf(c_0_113,plain,
sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_112]),c_0_70])]) ).
cnf(c_0_114,plain,
( smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_85]),c_0_74])]) ).
cnf(c_0_115,plain,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_113]),c_0_70])]) ).
cnf(c_0_116,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_69]),c_0_74])]) ).
cnf(c_0_117,plain,
( sdtpldt0(X1,sdtpldt0(sz00,X2)) = sdtpldt0(X1,X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_73]),c_0_74])]) ).
cnf(c_0_118,plain,
( aInteger0(sdtasdt0(X1,xb))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_115]),c_0_70]),c_0_74])]) ).
cnf(c_0_119,plain,
sdtpldt0(xa,sz00) = xa,
inference(rw,[status(thm)],[c_0_91,c_0_93]) ).
cnf(c_0_120,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_116]),c_0_74])]) ).
cnf(c_0_121,plain,
( sdtpldt0(xb,smndt0(xb)) = sz00
| ~ aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_106]),c_0_70])]) ).
cnf(c_0_122,plain,
( aInteger0(smndt0(xb))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_95]),c_0_70])]) ).
cnf(c_0_123,plain,
sdtpldt0(smndt0(xa),xa) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_119]),c_0_120]),c_0_74]),c_0_67])]) ).
cnf(c_0_124,plain,
( sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(smndt0(xb))) = sdtpldt0(xa,sz00)
| ~ aInteger0(smndt0(xb)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_85]),c_0_69]) ).
cnf(c_0_125,plain,
sdtpldt0(xb,smndt0(xb)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_69]),c_0_70])]) ).
cnf(c_0_126,plain,
aInteger0(smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_69]),c_0_99])]) ).
cnf(c_0_127,plain,
( sdtpldt0(xa,smndt0(xa)) = sz00
| ~ aInteger0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_123]),c_0_67])]) ).
cnf(c_0_128,plain,
sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(smndt0(xb))) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_69]),c_0_70])]) ).
cnf(c_0_129,plain,
( sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(xa)) = sdtpldt0(sz00,smndt0(xb))
| ~ aInteger0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_105]),c_0_80])]) ).
cnf(c_0_130,plain,
sdtpldt0(smndt0(xb),sz00) = sdtpldt0(sz00,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_125]),c_0_70])]),c_0_126])]) ).
cnf(c_0_131,plain,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_69]),c_0_67])]) ).
cnf(c_0_132,plain,
sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(smndt0(xb))) = xa,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_91]),c_0_93]) ).
cnf(c_0_133,plain,
sdtpldt0(smndt0(sdtasdt0(xq,esk2_0)),xa) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_97]),c_0_70]),c_0_80])]) ).
cnf(c_0_134,plain,
sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(xa)) = sdtpldt0(sz00,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_69]),c_0_67])]) ).
cnf(c_0_135,plain,
sdtpldt0(sz00,smndt0(xb)) = smndt0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_130]),c_0_126])]) ).
cnf(c_0_136,plain,
sdtpldt0(smndt0(xa),sz00) = sdtpldt0(sz00,smndt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_131]),c_0_67])]),c_0_101])]) ).
cnf(c_0_137,plain,
( sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(sz00,xb)
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_132]),c_0_80])]),c_0_133]) ).
cnf(c_0_138,negated_conjecture,
aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))),
i_0_40 ).
cnf(c_0_139,negated_conjecture,
( sdtasdt0(xq,X1) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X1) ),
i_0_38 ).
cnf(c_0_140,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_14 ).
cnf(c_0_141,hypothesis,
aInteger0(xq),
i_0_33 ).
cnf(c_0_142,plain,
sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(xa)) = smndt0(xb),
inference(rw,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_143,plain,
sdtpldt0(sz00,smndt0(xa)) = smndt0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_136]),c_0_101])]) ).
cnf(c_0_144,plain,
( sdtpldt0(sz00,smndt0(smndt0(xb))) = xb
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(rw,[status(thm)],[c_0_137,c_0_115]) ).
cnf(c_0_145,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
i_0_13 ).
cnf(c_0_146,plain,
( sdtasdt0(X1,esk1_2(X2,X1)) = X2
| ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2) ),
i_0_25 ).
cnf(c_0_147,negated_conjecture,
aDivisorOf0(xq,sdtasdt0(xq,esk2_0)),
inference(rw,[status(thm)],[c_0_138,c_0_66]) ).
cnf(c_0_148,plain,
( aInteger0(esk1_2(X1,X2))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1) ),
i_0_26 ).
cnf(c_0_149,negated_conjecture,
( sdtasdt0(X1,xq) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141])]) ).
cnf(c_0_150,plain,
sdtpldt0(smndt0(sdtasdt0(xq,esk2_0)),smndt0(xb)) = smndt0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_142]),c_0_143]),c_0_101]),c_0_80])]) ).
cnf(c_0_151,plain,
sdtpldt0(sz00,smndt0(smndt0(xb))) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_69]),c_0_126])]) ).
cnf(c_0_152,plain,
( aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_145]),c_0_90]) ).
cnf(c_0_153,negated_conjecture,
sdtasdt0(xq,esk1_2(sdtasdt0(xq,esk2_0),xq)) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_80])]) ).
cnf(c_0_154,negated_conjecture,
aInteger0(esk1_2(sdtasdt0(xq,esk2_0),xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_147]),c_0_80])]) ).
cnf(c_0_155,plain,
( sdtasdt0(X1,sdtasdt0(X2,xq)) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_145]),c_0_141])]),c_0_90]) ).
cnf(c_0_156,plain,
( sdtpldt0(smndt0(xb),smndt0(sdtasdt0(xq,esk2_0))) = smndt0(xa)
| ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_150]),c_0_126])]) ).
cnf(c_0_157,plain,
( smndt0(smndt0(xb)) = xb
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(spm,[status(thm)],[c_0_107,c_0_151]) ).
cnf(c_0_158,negated_conjecture,
( aInteger0(sdtasdt0(X1,sdtasdt0(xq,esk2_0)))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]),c_0_141])]) ).
cnf(c_0_159,plain,
( sdtasdt0(X1,sdtasdt0(xq,X2)) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X2)
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_140]),c_0_141])]) ).
cnf(c_0_160,plain,
sdtpldt0(smndt0(xb),smndt0(sdtasdt0(xq,esk2_0))) = smndt0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_69]),c_0_80])]) ).
cnf(c_0_161,plain,
smndt0(smndt0(xb)) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_69]),c_0_126])]) ).
cnf(c_0_162,plain,
( aInteger0(smndt0(sdtasdt0(xq,esk2_0)))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_95]),c_0_80])]) ).
cnf(c_0_163,negated_conjecture,
( sdtasdt0(X1,sdtasdt0(xq,esk2_0)) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_153]),c_0_154])]) ).
cnf(c_0_164,plain,
( sdtpldt0(sz00,smndt0(sdtasdt0(xq,esk2_0))) = sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_160]),c_0_161]),c_0_126])]) ).
cnf(c_0_165,plain,
aInteger0(smndt0(sdtasdt0(xq,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_69]),c_0_99])]) ).
cnf(c_0_166,plain,
( sdtpldt0(xb,smndt0(xa)) != smndt0(sdtasdt0(xq,esk2_0))
| ~ aInteger0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_95]),c_0_80])]) ).
cnf(c_0_167,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,esk2_0))) = sdtpldt0(xb,smndt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165])]) ).
cnf(c_0_168,plain,
sdtpldt0(xb,smndt0(xa)) != smndt0(sdtasdt0(xq,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_69]),c_0_99])]) ).
cnf(c_0_169,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_167]),c_0_165])]),c_0_168]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM424+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n015.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 14:16:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 27.86/4.83 # ENIGMATIC: Solved by autoschedule-lgb:
% 27.86/4.83 # No SInE strategy applied
% 27.86/4.83 # Trying AutoSched0 for 150 seconds
% 27.86/4.83 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 27.86/4.83 # and selection function SelectNewComplexAHP.
% 27.86/4.83 #
% 27.86/4.83 # Preprocessing time : 0.024 s
% 27.86/4.83 # Presaturation interreduction done
% 27.86/4.83
% 27.86/4.83 # Proof found!
% 27.86/4.83 # SZS status Theorem
% 27.86/4.83 # SZS output start CNFRefutation
% See solution above
% 27.86/4.83 # Training examples: 0 positive, 0 negative
% 27.86/4.83
% 27.86/4.83 # -------------------------------------------------
% 27.86/4.83 # User time : 2.360 s
% 27.86/4.83 # System time : 0.105 s
% 27.86/4.83 # Total time : 2.465 s
% 27.86/4.83 # Maximum resident set size: 7124 pages
% 27.86/4.83
%------------------------------------------------------------------------------