TSTP Solution File: NUM448+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM448+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n002.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  : 300s
% DateTime : Wed Aug 31 18:05:10 EDT 2022

% Result   : CounterSatisfiable 1.53s 0.56s
% Output   : Saturation 1.53s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u339,axiom,
    aInteger0(sz10) ).

cnf(u343,axiom,
    ( ~ aDivisorOf0(X1,sz10)
    | ~ isPrime0(X1) ) ).

cnf(u347,axiom,
    aInteger0(smndt0(sz10)) ).

cnf(u351,axiom,
    ( ~ aDivisorOf0(X1,smndt0(sz10))
    | ~ isPrime0(X1) ) ).

cnf(u411,axiom,
    ~ isOpen0(sF22) ).

cnf(u419,axiom,
    ~ aSubsetOf0(sF21,cS1395) ).

cnf(u460,axiom,
    sz10 = smndt0(sz00) ).

cnf(u464,axiom,
    smndt0(sz10) = smndt0(sz00) ).

cnf(u473,axiom,
    smndt0(sz10) = smndt0(smndt0(smndt0(smndt0(sz00)))) ).

cnf(u486,axiom,
    sz10 = smndt0(smndt0(smndt0(sz00))) ).

cnf(u490,axiom,
    isPrime0(sK11(smndt0(smndt0(smndt0(sz00))))) ).

cnf(u499,axiom,
    sz10 = smndt0(smndt0(sz00)) ).

cnf(u503,axiom,
    smndt0(sz10) = smndt0(smndt0(sz00)) ).

cnf(u512,axiom,
    smndt0(sz10) = smndt0(smndt0(sz10)) ).

cnf(u516,axiom,
    sz10 = smndt0(smndt0(sz10)) ).

cnf(u525,axiom,
    sz10 = smndt0(smndt0(smndt0(smndt0(sz10)))) ).

cnf(u538,axiom,
    smndt0(sz10) = smndt0(smndt0(smndt0(sz10))) ).

cnf(u551,axiom,
    isPrime0(sK11(sz00)) ).

cnf(u555,axiom,
    sz00 = smndt0(sz10) ).

cnf(u559,axiom,
    sz00 = sz10 ).

cnf(u330,axiom,
    ( ~ sP5(X0,X1)
    | sP4(sdtbsmnsldt0(X1,X0),X0,X1) ) ).

cnf(u301,axiom,
    ( ~ sP4(X0,X1,X2)
    | aSet0(X0) ) ).

cnf(u299,axiom,
    ( ~ sP4(X0,X1,X2)
    | aInteger0(X4)
    | ~ aElementOf0(X4,X0) ) ).

cnf(u295,axiom,
    ( ~ sP4(X2,X0,X1)
    | sdtbsmnsldt0(X1,X0) = X2
    | ~ sP5(X0,X1) ) ).

cnf(u297,axiom,
    ( ~ sP4(X0,X1,X2)
    | aElementOf0(X4,X0)
    | ~ aElementOf0(X4,X2)
    | ~ aInteger0(X4) ) ).

cnf(u298,axiom,
    ( ~ sP4(X0,X1,X2)
    | ~ aInteger0(X4)
    | aElementOf0(X4,X0)
    | ~ aElementOf0(X4,X1) ) ).

cnf(u300,axiom,
    ( ~ sP4(X0,X1,X2)
    | aElementOf0(X4,X2)
    | ~ aElementOf0(X4,X0)
    | aElementOf0(X4,X1) ) ).

cnf(u327,axiom,
    ( ~ sP3(X0)
    | sP2(sbsmnsldt0(X0),X0) ) ).

cnf(u260,axiom,
    ( ~ sP2(X0,X1)
    | aSet0(X0) ) ).

cnf(u259,axiom,
    ( ~ sP2(X1,X0)
    | sbsmnsldt0(X0) = X1
    | ~ sP3(X0) ) ).

cnf(u264,axiom,
    ( ~ sP2(X0,X1)
    | ~ aElementOf0(X5,X0)
    | aElementOf0(X5,sK16(X1,X5)) ) ).

cnf(u320,axiom,
    ( ~ sP1(X0,X1)
    | sP0(X1,X0,sdtslmnbsdt0(X0,X1)) ) ).

cnf(u210,axiom,
    ( ~ sP0(X0,X1,X2)
    | aSet0(X2) ) ).

cnf(u213,axiom,
    ( ~ sP0(X0,X1,X2)
    | ~ aElementOf0(X4,X2)
    | aInteger0(X4) ) ).

cnf(u211,axiom,
    ( ~ sP0(X0,X1,X2)
    | aElementOf0(X4,X1)
    | ~ aElementOf0(X4,X2) ) ).

cnf(u212,axiom,
    ( ~ sP0(X0,X1,X2)
    | aElementOf0(X4,X0)
    | ~ aElementOf0(X4,X2) ) ).

cnf(u209,axiom,
    ( ~ sP0(X1,X0,X2)
    | ~ sP1(X0,X1)
    | sdtslmnbsdt0(X0,X1) = X2 ) ).

cnf(u214,axiom,
    ( ~ sP0(X0,X1,X2)
    | aElementOf0(X4,X2)
    | ~ aInteger0(X4)
    | ~ aElementOf0(X4,X1)
    | ~ aElementOf0(X4,X0) ) ).

cnf(u231,axiom,
    ( ~ isOpen0(stldt0(X0))
    | isClosed0(X0)
    | ~ aSubsetOf0(X0,cS1395) ) ).

cnf(u269,axiom,
    ( ~ aSubsetOf0(sK17(X0),cS1395)
    | sP3(X0)
    | ~ aSet0(X0) ) ).

cnf(u250,axiom,
    ( ~ aSubsetOf0(sK13(X0),cS1395)
    | isOpen0(sbsmnsldt0(X0))
    | ~ aSet0(X0)
    | ~ isOpen0(sK13(X0)) ) ).

cnf(u234,axiom,
    ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK10(X0),X4),X0)
    | sz00 = X4
    | isOpen0(X0)
    | ~ aInteger0(X4)
    | ~ aSubsetOf0(X0,cS1395) ) ).

cnf(u246,axiom,
    ( ~ aSubsetOf0(X1,X0)
    | aSet0(X1)
    | ~ aSet0(X0) ) ).

cnf(u245,axiom,
    ( ~ aSubsetOf0(X1,X0)
    | ~ aSet0(X0)
    | ~ aElementOf0(X3,X1)
    | aElementOf0(X3,X0) ) ).

cnf(u319,axiom,
    ( ~ aSubsetOf0(X0,cS1395)
    | aSet0(stldt0(X0)) ) ).

cnf(u318,axiom,
    ( ~ aSubsetOf0(X0,cS1395)
    | aElementOf0(X2,X0)
    | ~ aInteger0(X2)
    | aElementOf0(X2,stldt0(X0)) ) ).

cnf(u306,axiom,
    ( ~ aSubsetOf0(X1,cS1395)
    | sP5(X1,X0)
    | ~ aSubsetOf0(X0,cS1395) ) ).

cnf(u290,axiom,
    ( ~ aSubsetOf0(X0,cS1395)
    | ~ isClosed0(X1)
    | isClosed0(sdtbsmnsldt0(X1,X0))
    | ~ aSubsetOf0(X1,cS1395)
    | ~ isClosed0(X0) ) ).

cnf(u237,axiom,
    ( ~ aSubsetOf0(X0,cS1395)
    | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,sK9(X0,X1)),X0)
    | ~ aElementOf0(X1,X0)
    | ~ isOpen0(X0) ) ).

cnf(u233,axiom,
    ( ~ aSubsetOf0(X0,cS1395)
    | aElementOf0(sK10(X0),X0)
    | isOpen0(X0) ) ).

cnf(u232,axiom,
    ( ~ aSubsetOf0(X1,cS1395)
    | ~ isOpen0(X1)
    | ~ isOpen0(X0)
    | ~ aSubsetOf0(X0,cS1395)
    | isOpen0(sdtslmnbsdt0(X1,X0)) ) ).

cnf(u230,axiom,
    ( ~ aSubsetOf0(X0,cS1395)
    | isOpen0(stldt0(X0))
    | ~ isClosed0(X0) ) ).

cnf(u219,axiom,
    ( ~ aSubsetOf0(X0,cS1395)
    | sP1(X0,X1)
    | ~ aSubsetOf0(X1,cS1395) ) ).

cnf(u202,axiom,
    ( ~ aSubsetOf0(X0,cS1395)
    | aInteger0(sK6(X0,X1))
    | stldt0(X0) = X1
    | aElementOf0(sK6(X0,X1),X1)
    | ~ aSet0(X1) ) ).

cnf(u305,axiom,
    ( ~ aElementOf0(sK20(X0,X1,X2),X0)
    | ~ aSet0(X0)
    | ~ aElementOf0(sK20(X0,X1,X2),X1)
    | sP4(X0,X1,X2)
    | ~ aInteger0(sK20(X0,X1,X2)) ) ).

cnf(u304,axiom,
    ( ~ aElementOf0(sK20(X0,X1,X2),X2)
    | ~ aInteger0(sK20(X0,X1,X2))
    | sP4(X0,X1,X2)
    | ~ aElementOf0(sK20(X0,X1,X2),X0)
    | ~ aSet0(X0) ) ).

cnf(u268,axiom,
    ( ~ aElementOf0(sK14(X0,X1),X0)
    | ~ aSet0(X0)
    | ~ aElementOf0(sK14(X0,X1),X3)
    | ~ aInteger0(sK14(X0,X1))
    | sP2(X0,X1)
    | ~ aElementOf0(X3,X1) ) ).

cnf(u248,axiom,
    ( ~ aElementOf0(sK12(X0,X1),X0)
    | ~ aSet0(X1)
    | ~ aSet0(X0)
    | aSubsetOf0(X1,X0) ) ).

cnf(u218,axiom,
    ( ~ aElementOf0(sK7(X0,X1,X2),X2)
    | ~ aElementOf0(sK7(X0,X1,X2),X1)
    | ~ aInteger0(sK7(X0,X1,X2))
    | ~ aSet0(X2)
    | ~ aElementOf0(sK7(X0,X1,X2),X0)
    | sP0(X0,X1,X2) ) ).

cnf(u203,axiom,
    ( ~ aElementOf0(sK6(X0,X1),X1)
    | stldt0(X0) = X1
    | ~ aInteger0(sK6(X0,X1))
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X0,cS1395)
    | aElementOf0(sK6(X0,X1),X0) ) ).

cnf(u201,axiom,
    ( ~ aElementOf0(sK6(X0,X1),X0)
    | stldt0(X0) = X1
    | ~ aSet0(X1)
    | ~ aSubsetOf0(X0,cS1395)
    | aElementOf0(sK6(X0,X1),X1) ) ).

cnf(u334,negated_conjecture,
    ( ~ aElementOf0(X0,sF21)
    | isPrime0(sK18(X0))
    | ~ aInteger0(X0) ) ).

cnf(u333,negated_conjecture,
    ( ~ aElementOf0(X0,sF21)
    | ~ aInteger0(X0)
    | aDivisorOf0(sK18(X0),X0) ) ).

cnf(u323,axiom,
    ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
    | aInteger0(X3)
    | ~ aInteger0(X1)
    | ~ aInteger0(X0)
    | sz00 = X1 ) ).

cnf(u322,axiom,
    ( ~ aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
    | sz00 = X1
    | ~ aInteger0(X1)
    | ~ aInteger0(X0)
    | sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ).

cnf(u316,axiom,
    ( ~ aElementOf0(X2,stldt0(X0))
    | ~ aSubsetOf0(X0,cS1395)
    | aInteger0(X2) ) ).

cnf(u317,axiom,
    ( ~ aElementOf0(X2,stldt0(X0))
    | ~ aSubsetOf0(X0,cS1395)
    | ~ aElementOf0(X2,X0) ) ).

cnf(u262,axiom,
    ( ~ aElementOf0(X5,X0)
    | ~ sP2(X0,X1)
    | aInteger0(X5) ) ).

cnf(u263,axiom,
    ( ~ aElementOf0(X5,X0)
    | ~ sP2(X0,X1)
    | aElementOf0(sK16(X1,X5),X1) ) ).

cnf(u235,axiom,
    ( ~ aElementOf0(X1,X0)
    | aInteger0(sK9(X0,X1))
    | ~ aSubsetOf0(X0,cS1395)
    | ~ isOpen0(X0) ) ).

cnf(u261,axiom,
    ( ~ aElementOf0(X5,X7)
    | ~ sP2(X0,X1)
    | ~ aElementOf0(X7,X1)
    | aElementOf0(X5,X0)
    | ~ aInteger0(X5) ) ).

cnf(u303,axiom,
    ( ~ aSet0(X0)
    | aElementOf0(sK20(X0,X1,X2),X1)
    | aElementOf0(sK20(X0,X1,X2),X0)
    | sP4(X0,X1,X2)
    | aElementOf0(sK20(X0,X1,X2),X2) ) ).

cnf(u302,axiom,
    ( ~ aSet0(X0)
    | sP4(X0,X1,X2)
    | aElementOf0(sK20(X0,X1,X2),X0)
    | aInteger0(sK20(X0,X1,X2)) ) ).

cnf(u270,axiom,
    ( ~ aSet0(X0)
    | sP3(X0)
    | aElementOf0(sK17(X0),X0) ) ).

cnf(u267,axiom,
    ( ~ aSet0(X0)
    | sP2(X0,X1)
    | aElementOf0(sK14(X0,X1),sK15(X0,X1))
    | aElementOf0(sK14(X0,X1),X0) ) ).

cnf(u266,axiom,
    ( ~ aSet0(X0)
    | aElementOf0(sK14(X0,X1),X0)
    | sP2(X0,X1)
    | aElementOf0(sK15(X0,X1),X1) ) ).

cnf(u265,axiom,
    ( ~ aSet0(X0)
    | sP2(X0,X1)
    | aElementOf0(sK14(X0,X1),X0)
    | aInteger0(sK14(X0,X1)) ) ).

cnf(u249,axiom,
    ( ~ aSet0(X0)
    | isOpen0(sbsmnsldt0(X0))
    | aElementOf0(sK13(X0),X0) ) ).

cnf(u247,axiom,
    ( ~ aSet0(X0)
    | aElementOf0(sK12(X0,X1),X1)
    | aSubsetOf0(X1,X0)
    | ~ aSet0(X1) ) ).

cnf(u217,axiom,
    ( ~ aSet0(X2)
    | sP0(X0,X1,X2)
    | aElementOf0(sK7(X0,X1,X2),X2)
    | aInteger0(sK7(X0,X1,X2)) ) ).

cnf(u216,axiom,
    ( ~ aSet0(X2)
    | aElementOf0(sK7(X0,X1,X2),X2)
    | sP0(X0,X1,X2)
    | aElementOf0(sK7(X0,X1,X2),X0) ) ).

cnf(u215,axiom,
    ( ~ aSet0(X2)
    | aElementOf0(sK7(X0,X1,X2),X2)
    | sP0(X0,X1,X2)
    | aElementOf0(sK7(X0,X1,X2),X1) ) ).

cnf(u224,axiom,
    ( ~ sdteqdtlpzmzozddtrp0(sK8(X0,X1,X2),X0,X1)
    | ~ aElementOf0(sK8(X0,X1,X2),X2)
    | ~ aInteger0(sK8(X0,X1,X2))
    | ~ aInteger0(X0)
    | ~ aSet0(X2)
    | ~ aInteger0(X1)
    | sz00 = X1
    | szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2 ) ).

cnf(u253,axiom,
    ( ~ sdteqdtlpzmzozddtrp0(X3,X0,sdtasdt0(X1,X2))
    | sz00 = X2
    | ~ aInteger0(X0)
    | ~ aInteger0(X1)
    | ~ aInteger0(X3)
    | sz00 = X1
    | ~ aInteger0(X2)
    | sdteqdtlpzmzozddtrp0(X3,X0,X1) ) ).

cnf(u254,axiom,
    ( ~ sdteqdtlpzmzozddtrp0(X3,X0,sdtasdt0(X1,X2))
    | ~ aInteger0(X0)
    | sz00 = X2
    | ~ aInteger0(X2)
    | ~ aInteger0(X3)
    | sdteqdtlpzmzozddtrp0(X3,X0,X2)
    | sz00 = X1
    | ~ aInteger0(X1) ) ).

cnf(u251,axiom,
    ( ~ sdteqdtlpzmzozddtrp0(X2,X0,X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X0)
    | sz00 = X1
    | ~ aInteger0(X2)
    | aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0))) ) ).

cnf(u307,axiom,
    ( ~ sdteqdtlpzmzozddtrp0(X1,X0,X2)
    | sz00 = X2
    | sdteqdtlpzmzozddtrp0(X0,X1,X2)
    | ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X0) ) ).

cnf(u308,axiom,
    ( ~ sdteqdtlpzmzozddtrp0(X0,X2,X3)
    | ~ aInteger0(X0)
    | sz00 = X3
    | sdteqdtlpzmzozddtrp0(X1,X2,X3)
    | ~ aInteger0(X3)
    | ~ aInteger0(X1)
    | ~ sdteqdtlpzmzozddtrp0(X1,X0,X3)
    | ~ aInteger0(X2) ) ).

cnf(u324,axiom,
    ( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
    | ~ aInteger0(X1)
    | ~ aInteger0(X3)
    | aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(X0,X1))
    | ~ aInteger0(X0)
    | sz00 = X1 ) ).

cnf(u865,axiom,
    ( ~ aDivisorOf0(X0,sdtpldt0(X1,sz00))
    | ~ aInteger0(X0)
    | sz00 = X0
    | sdteqdtlpzmzozddtrp0(X1,sz00,X0)
    | ~ aInteger0(X1) ) ).

cnf(u252,axiom,
    ( ~ aDivisorOf0(X1,sdtpldt0(X2,smndt0(X0)))
    | ~ aInteger0(X0)
    | ~ aInteger0(X1)
    | sz00 = X1
    | sdteqdtlpzmzozddtrp0(X2,X0,X1)
    | ~ aInteger0(X2) ) ).

cnf(u780,axiom,
    ( ~ aDivisorOf0(X1,sz00)
    | ~ isPrime0(X1) ) ).

cnf(u332,negated_conjecture,
    ( ~ aDivisorOf0(X1,X0)
    | ~ isPrime0(X1)
    | aElementOf0(X0,sF21)
    | ~ aInteger0(X0) ) ).

cnf(u279,axiom,
    ( ~ aDivisorOf0(X1,X0)
    | aInteger0(X1)
    | ~ aInteger0(X0) ) ).

cnf(u282,axiom,
    ( ~ aDivisorOf0(X1,X0)
    | ~ aInteger0(X0)
    | aInteger0(sK19(X0,X1)) ) ).

cnf(u281,axiom,
    ( ~ aDivisorOf0(X1,X0)
    | ~ aInteger0(X0)
    | sdtasdt0(X1,sK19(X0,X1)) = X0 ) ).

cnf(u329,axiom,
    ( ~ aDivisorOf0(sz00,X0)
    | ~ aInteger0(X0) ) ).

cnf(u240,axiom,
    aInteger0(sz00) ).

cnf(u328,axiom,
    ( ~ aInteger0(sdtasdt0(X1,X2))
    | aDivisorOf0(X1,sdtasdt0(X1,X2))
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sz00 = X1 ) ).

cnf(u891,axiom,
    ( ~ aInteger0(X0)
    | sz00 = X0
    | ~ aSet0(X1)
    | sdteqdtlpzmzozddtrp0(sK8(sz00,X0,X1),sz00,X0)
    | aElementOf0(sK8(sz00,X0,X1),X1)
    | szAzrzSzezqlpdtcmdtrp0(sz00,X0) = X1 ) ).

cnf(u889,axiom,
    ( ~ aInteger0(X0)
    | szAzrzSzezqlpdtcmdtrp0(sz00,X0) = X1
    | aElementOf0(sK8(sz00,X0,X1),X1)
    | aInteger0(sK8(sz00,X0,X1))
    | sz00 = X0
    | ~ aSet0(X1) ) ).

cnf(u883,axiom,
    ( ~ aInteger0(X0)
    | sdtpldt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sz00,sdtpldt0(sz00,X0)) ) ).

cnf(u881,axiom,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X0)
    | sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(sz00,X0)) = sdtasdt0(sz00,sdtpldt0(X1,X0)) ) ).

cnf(u878,axiom,
    ( ~ aInteger0(X0)
    | sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X0)) ) ).

cnf(u876,axiom,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X0)
    | sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(sz00,X0)) = sdtasdt0(sdtpldt0(X1,sz00),X0) ) ).

cnf(u873,axiom,
    ( ~ aInteger0(X0)
    | sdtasdt0(X0,sz00) = sdtasdt0(sdtasdt0(X0,sz00),sz00) ) ).

cnf(u871,axiom,
    ( ~ aInteger0(X0)
    | sdtasdt0(sdtasdt0(X1,X0),sz00) = sdtasdt0(X1,sdtasdt0(X0,sz00))
    | ~ aInteger0(X1) ) ).

cnf(u868,axiom,
    ( ~ aInteger0(X0)
    | sdtpldt0(sz00,sdtpldt0(X0,sz00)) = sdtpldt0(sdtpldt0(sz00,X0),sz00) ) ).

cnf(u867,axiom,
    ( ~ aInteger0(X1)
    | sdtpldt0(X1,sdtpldt0(X0,sz00)) = sdtpldt0(sdtpldt0(X1,X0),sz00)
    | ~ aInteger0(X0) ) ).

cnf(u861,axiom,
    ( ~ aInteger0(X0)
    | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz00,X0),cS1395)
    | sz00 = X0 ) ).

cnf(u859,axiom,
    ( ~ aInteger0(X0)
    | aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X0))
    | sz00 = X0 ) ).

cnf(u857,axiom,
    ( ~ aInteger0(X0)
    | sz00 = X0
    | isClosed0(szAzrzSzezqlpdtcmdtrp0(sz00,X0)) ) ).

cnf(u855,axiom,
    ( ~ aInteger0(X0)
    | sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) ) ).

cnf(u852,axiom,
    ( ~ aInteger0(X0)
    | sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) ) ).

cnf(u845,axiom,
    ( ~ aInteger0(X0)
    | aInteger0(sdtpldt0(X0,sz00)) ) ).

cnf(u841,axiom,
    ( ~ aInteger0(X0)
    | aInteger0(sdtasdt0(sz00,X0)) ) ).

cnf(u830,axiom,
    ( ~ aInteger0(X0)
    | sz00 = X0
    | aDivisorOf0(sK11(X0),X0) ) ).

cnf(u829,axiom,
    ( ~ aInteger0(X0)
    | isPrime0(sK11(X0))
    | sz00 = X0 ) ).

cnf(u818,axiom,
    ( ~ aInteger0(X0)
    | sdtasdt0(sz00,X0) = X0 ) ).

cnf(u817,axiom,
    ( ~ aInteger0(X0)
    | sdtasdt0(X0,sz00) = X0 ) ).

cnf(u809,axiom,
    ( ~ aInteger0(X0)
    | smndt0(X0) = sdtasdt0(X0,sz00) ) ).

cnf(u798,axiom,
    ( ~ aInteger0(X0)
    | smndt0(X0) = sdtasdt0(sz00,X0) ) ).

cnf(u321,axiom,
    ( ~ aInteger0(X0)
    | sz00 = X1
    | ~ aInteger0(X1)
    | aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ).

cnf(u311,axiom,
    ( ~ aInteger0(X0)
    | sdtpldt0(X0,sz00) = X0 ) ).

cnf(u310,axiom,
    ( ~ aInteger0(X0)
    | sdtpldt0(sz00,X0) = X0 ) ).

cnf(u309,axiom,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X0)
    | sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ).

cnf(u294,axiom,
    ( ~ aInteger0(X0)
    | ~ aInteger0(X1)
    | sdteqdtlpzmzozddtrp0(X1,X1,X0)
    | sz00 = X0 ) ).

cnf(u293,axiom,
    ( ~ aInteger0(X2)
    | ~ aInteger0(X0)
    | ~ aInteger0(X1)
    | sdtasdt0(X1,sdtasdt0(X0,X2)) = sdtasdt0(sdtasdt0(X1,X0),X2) ) ).

cnf(u292,axiom,
    ( ~ aInteger0(X0)
    | sz00 = sdtasdt0(sz00,X0) ) ).

cnf(u291,axiom,
    ( ~ aInteger0(X0)
    | sz00 = sdtasdt0(X0,sz00) ) ).

cnf(u287,axiom,
    ( ~ aInteger0(X1)
    | aInteger0(sdtpldt0(X0,X1))
    | ~ aInteger0(X0) ) ).

cnf(u286,axiom,
    ( ~ aInteger0(X0)
    | sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
    | ~ aInteger0(X1) ) ).

cnf(u285,axiom,
    ( ~ aInteger0(X0)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdtpldt0(X1,sdtpldt0(X2,X0)) = sdtpldt0(sdtpldt0(X1,X2),X0) ) ).

cnf(u284,axiom,
    ( ~ aInteger0(X1)
    | aInteger0(sdtasdt0(X1,X0))
    | ~ aInteger0(X0) ) ).

cnf(u277,axiom,
    ( ~ aInteger0(X0)
    | sz00 = sdtpldt0(smndt0(X0),X0) ) ).

cnf(u276,axiom,
    ( ~ aInteger0(X0)
    | sz00 = sdtpldt0(X0,smndt0(X0)) ) ).

cnf(u239,axiom,
    ( ~ aInteger0(X0)
    | aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
    | ~ aInteger0(X1)
    | sz00 = X1 ) ).

cnf(u238,axiom,
    ( ~ aInteger0(X0)
    | ~ aInteger0(X1)
    | sz00 = X1
    | isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ) ).

cnf(u229,axiom,
    ( ~ aInteger0(X0)
    | aInteger0(smndt0(X0)) ) ).

cnf(u223,axiom,
    ( ~ aInteger0(X0)
    | aElementOf0(sK8(X0,X1,X2),X2)
    | ~ aSet0(X2)
    | ~ aInteger0(X1)
    | sdteqdtlpzmzozddtrp0(sK8(X0,X1,X2),X0,X1)
    | szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2
    | sz00 = X1 ) ).

cnf(u222,axiom,
    ( ~ aInteger0(X0)
    | aInteger0(sK8(X0,X1,X2))
    | ~ aInteger0(X1)
    | sz00 = X1
    | ~ aSet0(X2)
    | aElementOf0(sK8(X0,X1,X2),X2)
    | szAzrzSzezqlpdtcmdtrp0(X0,X1) = X2 ) ).

cnf(u221,axiom,
    ( ~ aInteger0(X1)
    | ~ aInteger0(X2)
    | ~ aInteger0(X0)
    | sdtasdt0(X1,sdtpldt0(X0,X2)) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X1,X2)) ) ).

cnf(u220,axiom,
    ( ~ aInteger0(X0)
    | ~ aInteger0(X2)
    | ~ aInteger0(X1)
    | sdtasdt0(sdtpldt0(X1,X0),X2) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X0,X2)) ) ).

cnf(u335,axiom,
    sF22 = stldt0(sF21) ).

cnf(u331,axiom,
    sbsmnsldt0(cS2043) = sF21 ).

cnf(u388,axiom,
    sz00 = sdtasdt0(sz00,sz00) ).

cnf(u422,axiom,
    sz00 = sdtpldt0(sz00,sz00) ).

cnf(u647,axiom,
    sz00 = smndt0(sz00) ).

cnf(u275,axiom,
    ( sz00 != sdtasdt0(X0,X1)
    | ~ aInteger0(X0)
    | ~ aInteger0(X1)
    | sz00 = X0
    | sz00 = X1 ) ).

cnf(u236,axiom,
    ( sz00 != sK9(X0,X1)
    | ~ aElementOf0(X1,X0)
    | ~ isOpen0(X0)
    | ~ aSubsetOf0(X0,cS1395) ) ).

cnf(u336,negated_conjecture,
    cS2076 != sF22 ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM448+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 06:46:14 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  % (6654)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.48  % (6669)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (6661)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (6662)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (6663)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (6657)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51  % (6660)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51  % (6656)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (6660)Instruction limit reached!
% 0.20/0.51  % (6660)------------------------------
% 0.20/0.51  % (6660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (6660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (6660)Termination reason: Unknown
% 0.20/0.51  % (6660)Termination phase: Preprocessing 3
% 0.20/0.51  
% 0.20/0.51  % (6660)Memory used [KB]: 1023
% 0.20/0.51  % (6660)Time elapsed: 0.003 s
% 0.20/0.51  % (6660)Instructions burned: 3 (million)
% 0.20/0.51  % (6660)------------------------------
% 0.20/0.51  % (6660)------------------------------
% 0.20/0.51  % (6675)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52  % (6667)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52  % (6671)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (6655)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (6653)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (6677)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (6680)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52  % (6658)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (6673)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.35/0.53  % (6664)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.35/0.53  % (6678)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.35/0.53  % (6668)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.35/0.53  % (6674)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.35/0.53  % (6652)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.35/0.54  % (6666)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.35/0.54  % (6653)Refutation not found, incomplete strategy% (6653)------------------------------
% 1.35/0.54  % (6653)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (6654)Instruction limit reached!
% 1.35/0.54  % (6654)------------------------------
% 1.35/0.54  % (6654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.54  % (6653)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.54  % (6653)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.54  
% 1.35/0.54  % (6653)Memory used [KB]: 5756
% 1.35/0.54  % (6653)Time elapsed: 0.129 s
% 1.35/0.54  % (6653)Instructions burned: 11 (million)
% 1.35/0.54  % (6653)------------------------------
% 1.35/0.54  % (6653)------------------------------
% 1.35/0.54  % (6670)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.35/0.54  % (6682)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.35/0.54  % (6672)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.35/0.54  % (6681)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.35/0.55  % (6659)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.35/0.55  % (6676)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.35/0.55  TRYING [1]
% 1.53/0.55  TRYING [2]
% 1.53/0.55  % (6654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55  % (6654)Termination reason: Unknown
% 1.53/0.55  % (6654)Termination phase: Saturation
% 1.53/0.55  
% 1.53/0.55  % (6654)Memory used [KB]: 1535
% 1.53/0.55  % (6654)Time elapsed: 0.129 s
% 1.53/0.55  % (6654)Instructions burned: 37 (million)
% 1.53/0.55  % (6654)------------------------------
% 1.53/0.55  % (6654)------------------------------
% 1.53/0.55  % (6679)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.53/0.55  % (6659)Instruction limit reached!
% 1.53/0.55  % (6659)------------------------------
% 1.53/0.55  % (6659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55  % (6659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55  % (6659)Termination reason: Unknown
% 1.53/0.55  % (6659)Termination phase: Saturation
% 1.53/0.55  
% 1.53/0.55  % (6659)Memory used [KB]: 5628
% 1.53/0.55  % (6659)Time elapsed: 0.143 s
% 1.53/0.55  % (6659)Instructions burned: 8 (million)
% 1.53/0.55  % (6659)------------------------------
% 1.53/0.55  % (6659)------------------------------
% 1.53/0.56  % (6656)First to succeed.
% 1.53/0.56  % SZS status CounterSatisfiable for theBenchmark
% 1.53/0.56  % (6656)# SZS output start Saturation.
% See solution above
% 1.53/0.56  % (6656)------------------------------
% 1.53/0.56  % (6656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56  % (6656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56  % (6656)Termination reason: Satisfiable
% 1.53/0.56  
% 1.53/0.56  % (6656)Memory used [KB]: 5884
% 1.53/0.56  % (6656)Time elapsed: 0.154 s
% 1.53/0.56  % (6656)Instructions burned: 26 (million)
% 1.53/0.56  % (6656)------------------------------
% 1.53/0.56  % (6656)------------------------------
% 1.53/0.56  % (6651)Success in time 0.205 s
%------------------------------------------------------------------------------