TSTP Solution File: NUM431+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM431+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 08:35:55 EDT 2022

% Result   : Theorem 7.56s 2.24s
% Output   : CNFRefutation 7.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   88 (  42 unt;   2 nHn;  88 RR)
%            Number of literals    :  169 (  52 equ;  83 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   67 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_30,plain,
    ( X1 = sz00
    | aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))
    | ~ aInteger0(X1)
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ sdteqdtlpzmzozddtrp0(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_30) ).

cnf(i_0_38,hypothesis,
    sdteqdtlpzmzozddtrp0(xb,xc,xq),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_38) ).

cnf(i_0_42,hypothesis,
    sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_42) ).

cnf(i_0_33,hypothesis,
    aInteger0(xc),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_33) ).

cnf(i_0_36,hypothesis,
    aInteger0(xb),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_36) ).

cnf(i_0_35,hypothesis,
    aInteger0(xq),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_35) ).

cnf(i_0_34,hypothesis,
    sz00 != xq,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_34) ).

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-f274f27t/lgb.p',i_0_25) ).

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-f274f27t/lgb.p',i_0_7) ).

cnf(i_0_11,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz00
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_11) ).

cnf(i_0_4,plain,
    ( aInteger0(smndt0(X1))
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_4) ).

cnf(i_0_9,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_9) ).

cnf(i_0_2,plain,
    aInteger0(sz00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_2) ).

cnf(i_0_6,plain,
    ( aInteger0(sdtasdt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_6) ).

cnf(i_0_43,hypothesis,
    aInteger0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_43) ).

cnf(i_0_26,plain,
    ( aInteger0(esk1_2(X1,X2))
    | ~ aInteger0(X1)
    | ~ aDivisorOf0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_26) ).

cnf(i_0_12,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_12) ).

cnf(i_0_8,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_8) ).

cnf(i_0_5,plain,
    ( aInteger0(sdtpldt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_5) ).

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/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_18) ).

cnf(i_0_22,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_22) ).

cnf(i_0_40,hypothesis,
    sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_40) ).

cnf(i_0_37,hypothesis,
    aInteger0(xa),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_37) ).

cnf(i_0_3,plain,
    aInteger0(sz10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_3) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_10) ).

cnf(i_0_41,hypothesis,
    aInteger0(xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_41) ).

cnf(i_0_44,negated_conjecture,
    sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f274f27t/lgb.p',i_0_44) ).

cnf(c_0_72,plain,
    ( X1 = sz00
    | aDivisorOf0(X1,sdtpldt0(X2,smndt0(X3)))
    | ~ aInteger0(X1)
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ sdteqdtlpzmzozddtrp0(X2,X3,X1) ),
    i_0_30 ).

cnf(c_0_73,hypothesis,
    sdteqdtlpzmzozddtrp0(xb,xc,xq),
    i_0_38 ).

cnf(c_0_74,hypothesis,
    sdtpldt0(xb,smndt0(xc)) = sdtasdt0(xq,xm),
    i_0_42 ).

cnf(c_0_75,hypothesis,
    aInteger0(xc),
    i_0_33 ).

cnf(c_0_76,hypothesis,
    aInteger0(xb),
    i_0_36 ).

cnf(c_0_77,hypothesis,
    aInteger0(xq),
    i_0_35 ).

cnf(c_0_78,hypothesis,
    sz00 != xq,
    i_0_34 ).

cnf(c_0_79,plain,
    ( sdtasdt0(X1,esk1_2(X2,X1)) = X2
    | ~ aInteger0(X2)
    | ~ aDivisorOf0(X1,X2) ),
    i_0_25 ).

cnf(c_0_80,hypothesis,
    aDivisorOf0(xq,sdtasdt0(xq,xm)),
    inference(sr,[status(thm)],[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_72,c_0_73]),c_0_74]),c_0_75]),c_0_76]),c_0_77])]),c_0_78]) ).

cnf(c_0_81,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aInteger0(X3)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    i_0_7 ).

cnf(c_0_82,plain,
    ( sdtpldt0(smndt0(X1),X1) = sz00
    | ~ aInteger0(X1) ),
    i_0_11 ).

cnf(c_0_83,plain,
    ( aInteger0(smndt0(X1))
    | ~ aInteger0(X1) ),
    i_0_4 ).

cnf(c_0_84,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aInteger0(X1) ),
    i_0_9 ).

cnf(c_0_85,plain,
    aInteger0(sz00),
    i_0_2 ).

cnf(c_0_86,plain,
    ( sdtasdt0(xq,esk1_2(sdtasdt0(xq,xm),xq)) = sdtasdt0(xq,xm)
    | ~ aInteger0(sdtasdt0(xq,xm)) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_87,plain,
    ( aInteger0(sdtasdt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    i_0_6 ).

cnf(c_0_88,hypothesis,
    aInteger0(xm),
    i_0_43 ).

cnf(c_0_89,plain,
    ( aInteger0(esk1_2(X1,X2))
    | ~ aInteger0(X1)
    | ~ aDivisorOf0(X2,X1) ),
    i_0_26 ).

cnf(c_0_90,plain,
    ( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).

cnf(c_0_91,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_81,c_0_84]),c_0_85])]) ).

cnf(c_0_92,plain,
    sdtasdt0(xq,esk1_2(sdtasdt0(xq,xm),xq)) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_77])]) ).

cnf(c_0_93,plain,
    ( aInteger0(esk1_2(sdtasdt0(xq,xm),xq))
    | ~ aInteger0(sdtasdt0(xq,xm)) ),
    inference(spm,[status(thm)],[c_0_89,c_0_80]) ).

cnf(c_0_94,plain,
    ( sdtpldt0(X1,smndt0(X1)) = sz00
    | ~ aInteger0(X1) ),
    i_0_12 ).

cnf(c_0_95,hypothesis,
    ( sdtpldt0(smndt0(xb),sdtasdt0(xq,xm)) = sdtpldt0(sz00,smndt0(xc))
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_74]),c_0_76])]) ).

cnf(c_0_96,hypothesis,
    ( sdtpldt0(sz00,sdtasdt0(xq,xm)) = sdtasdt0(xq,xm)
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_74]),c_0_76])]) ).

cnf(c_0_97,plain,
    ( aInteger0(sdtasdt0(xq,xm))
    | ~ aInteger0(esk1_2(sdtasdt0(xq,xm),xq)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_92]),c_0_77])]) ).

cnf(c_0_98,plain,
    aInteger0(esk1_2(sdtasdt0(xq,xm),xq)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_87]),c_0_88]),c_0_77])]) ).

cnf(c_0_99,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    i_0_8 ).

cnf(c_0_100,plain,
    ( aInteger0(sdtpldt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    i_0_5 ).

cnf(c_0_101,plain,
    ( sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_94]),c_0_83]) ).

cnf(c_0_102,plain,
    sdtpldt0(smndt0(xb),sdtasdt0(xq,xm)) = sdtpldt0(sz00,smndt0(xc)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_83]),c_0_75])]) ).

cnf(c_0_103,plain,
    sdtpldt0(sz00,sdtasdt0(xq,xm)) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_83]),c_0_75])]) ).

cnf(c_0_104,plain,
    aInteger0(sdtasdt0(xq,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]) ).

cnf(c_0_105,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_99,c_0_81]),c_0_100]) ).

cnf(c_0_106,plain,
    sdtpldt0(xb,sdtpldt0(sz00,smndt0(xc))) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]),c_0_104]),c_0_76])]) ).

cnf(c_0_107,plain,
    ( sdtpldt0(sz00,sdtpldt0(smndt0(xc),xb)) = sdtasdt0(xq,xm)
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_76]),c_0_85])]) ).

cnf(c_0_108,plain,
    sdtpldt0(sz00,sdtpldt0(smndt0(xc),xb)) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_83]),c_0_75])]) ).

cnf(c_0_109,plain,
    ( sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,xm)
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_108]),c_0_76])]) ).

cnf(c_0_110,plain,
    sdtpldt0(smndt0(xc),xb) = sdtasdt0(xq,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_83]),c_0_75])]) ).

cnf(c_0_111,plain,
    sdtpldt0(xc,sdtasdt0(xq,xm)) = sdtpldt0(sz00,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_110]),c_0_76]),c_0_75])]) ).

cnf(c_0_112,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_113,plain,
    sdtpldt0(sz00,sdtpldt0(sz00,xb)) = sdtpldt0(sz00,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_111]),c_0_104]),c_0_75])]) ).

cnf(c_0_114,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_100,c_0_112]),c_0_87]),c_0_87]) ).

cnf(c_0_115,plain,
    sdtpldt0(sz00,xb) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_84]),c_0_76])]) ).

cnf(c_0_116,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_114,c_0_115]),c_0_76]),c_0_85])]) ).

cnf(c_0_117,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aInteger0(X1) ),
    i_0_22 ).

cnf(c_0_118,hypothesis,
    sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,xn),
    i_0_40 ).

cnf(c_0_119,hypothesis,
    aInteger0(xa),
    i_0_37 ).

cnf(c_0_120,plain,
    ( aInteger0(smndt0(xb))
    | ~ aInteger0(smndt0(sz10)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_76])]) ).

cnf(c_0_121,plain,
    aInteger0(sz10),
    i_0_3 ).

cnf(c_0_122,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_81,c_0_118]),c_0_119])]) ).

cnf(c_0_123,plain,
    aInteger0(smndt0(xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_83]),c_0_121])]) ).

cnf(c_0_124,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aInteger0(X1) ),
    i_0_10 ).

cnf(c_0_125,hypothesis,
    ( sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,xn),X1)
    | ~ aInteger0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]) ).

cnf(c_0_126,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_81,c_0_124]),c_0_85])]) ).

cnf(c_0_127,plain,
    sdtpldt0(xa,sdtpldt0(sz00,smndt0(xc))) = sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_102]),c_0_104])]) ).

cnf(c_0_128,plain,
    ( sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xc))
    | ~ aInteger0(smndt0(xc)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_119])]) ).

cnf(c_0_129,plain,
    sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xc)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_83]),c_0_75])]) ).

cnf(c_0_130,hypothesis,
    aInteger0(xn),
    i_0_41 ).

cnf(c_0_131,negated_conjecture,
    sdtasdt0(xq,sdtpldt0(xn,xm)) != sdtpldt0(xa,smndt0(xc)),
    i_0_44 ).

cnf(c_0_132,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_129]),c_0_88]),c_0_130]),c_0_77])]),c_0_131]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM431+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 : n006.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 : Wed Jul  6 21:26:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.56/2.24  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.56/2.24  # No SInE strategy applied
% 7.56/2.24  # Trying AutoSched0 for 150 seconds
% 7.56/2.24  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.56/2.24  # and selection function SelectNewComplexAHP.
% 7.56/2.24  #
% 7.56/2.24  # Preprocessing time       : 0.023 s
% 7.56/2.24  # Presaturation interreduction done
% 7.56/2.24  
% 7.56/2.24  # Proof found!
% 7.56/2.24  # SZS status Theorem
% 7.56/2.24  # SZS output start CNFRefutation
% See solution above
% 7.56/2.24  # Training examples: 0 positive, 0 negative
% 7.56/2.24  
% 7.56/2.24  # -------------------------------------------------
% 7.56/2.24  # User time                : 0.098 s
% 7.56/2.24  # System time              : 0.010 s
% 7.56/2.24  # Total time               : 0.109 s
% 7.56/2.24  # Maximum resident set size: 7128 pages
% 7.56/2.24  
%------------------------------------------------------------------------------