TSTP Solution File: RNG110+4 by Paradox---4.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : RNG110+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% 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 20:38:43 EDT 2022
% Result : CounterSatisfiable 0.19s 0.47s
% Output : FiniteModel 0.19s
% Verified :
% SZS Type : FiniteModel
% Domain size : 2
% Comments :
%------------------------------------------------------------------------------
% domain size is 2
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2" ) ).
fof(aDivisorOf0,fi_predicates,
( ( aDivisorOf0("1","1")
<=> $true )
& ( aDivisorOf0("1","2")
<=> $true )
& ( aDivisorOf0("2","1")
<=> $false )
& ( aDivisorOf0("2","2")
<=> $true ) ) ).
fof(aElement0,fi_predicates,
( ( aElement0("1")
<=> $true )
& ( aElement0("2")
<=> $true ) ) ).
fof(aElementOf0,fi_predicates,
( ( aElementOf0("1","1")
<=> $true )
& ( aElementOf0("1","2")
<=> $false )
& ( aElementOf0("2","1")
<=> $true )
& ( aElementOf0("2","2")
<=> $true ) ) ).
fof(aGcdOfAnd0,fi_predicates,
( ( aGcdOfAnd0("1","1","1")
<=> $true )
& ( aGcdOfAnd0("1","1","2")
<=> $true )
& ( aGcdOfAnd0("1","2","1")
<=> $true )
& ( aGcdOfAnd0("1","2","2")
<=> $false )
& ( aGcdOfAnd0("2","1","1")
<=> $false )
& ( aGcdOfAnd0("2","1","2")
<=> $false )
& ( aGcdOfAnd0("2","2","1")
<=> $false )
& ( aGcdOfAnd0("2","2","2")
<=> $true ) ) ).
fof(aIdeal0,fi_predicates,
( ( aIdeal0("1")
<=> $true )
& ( aIdeal0("2")
<=> $true ) ) ).
fof(aNaturalNumber0,fi_predicates,
! [X1] :
( aNaturalNumber0(X1)
<=> $true ) ).
fof(aSet0,fi_predicates,
( ( aSet0("1")
<=> $true )
& ( aSet0("2")
<=> $true ) ) ).
fof(doDivides0,fi_predicates,
( ( doDivides0("1","1")
<=> $true )
& ( doDivides0("1","2")
<=> $true )
& ( doDivides0("2","1")
<=> $false )
& ( doDivides0("2","2")
<=> $true ) ) ).
fof(iLess0,fi_predicates,
! [X1,X2] :
( iLess0(X1,X2)
<=> $true ) ).
fof(misRelativelyPrime0,fi_predicates,
( ( misRelativelyPrime0("1","1")
<=> $true )
& ( misRelativelyPrime0("1","2")
<=> $true )
& ( misRelativelyPrime0("2","1")
<=> $true )
& ( misRelativelyPrime0("2","2")
<=> $false ) ) ).
fof(sK103_m__2174_W1,fi_functors,
( sK103_m__2174_W1("1") = "2"
& sK103_m__2174_W1("2") = "2" ) ).
fof(sK104_m__2174_W2,fi_functors,
( sK104_m__2174_W2("1") = "1"
& sK104_m__2174_W2("2") = "2" ) ).
fof(sK105_m__2174_W1,fi_functors,
( sK105_m__2174_W1("1") = "2"
& sK105_m__2174_W1("2") = "1" ) ).
fof(sK106_m__2174_W1,fi_functors,
( sK106_m__2174_W1("1") = "1"
& sK106_m__2174_W1("2") = "2" ) ).
fof(sK117_m__2203_W0,fi_functors,
sK117_m__2203_W0 = "1" ).
fof(sK118_m__2203_W0,fi_functors,
sK118_m__2203_W0 = "2" ).
fof(sK119_m__2203_W0,fi_functors,
sK119_m__2203_W0 = "1" ).
fof(sK120_m__2203_W0,fi_functors,
sK120_m__2203_W0 = "2" ).
fof(sK121_m__2228_W2,fi_functors,
( sK121_m__2228_W2("1") = "1"
& sK121_m__2228_W2("2") = "1" ) ).
fof(sK122_m__2228_W2,fi_functors,
( sK122_m__2228_W2("1") = "1"
& sK122_m__2228_W2("2") = "2" ) ).
fof(sK123_m__2228_W0,fi_functors,
sK123_m__2228_W0 = "1" ).
fof(sK124_m__2228_W1,fi_functors,
sK124_m__2228_W1 = "2" ).
fof(sK125_m__2228_W2,fi_functors,
sK125_m__2228_W2 = "1" ).
fof(sK130_m___W1,fi_functors,
( sK130_m___W1("1") = "1"
& sK130_m___W1("2") = "1" ) ).
fof(sK131_m___W2,fi_functors,
( sK131_m___W2("1") = "2"
& sK131_m___W2("2") = "2" ) ).
fof(sK132_m___W3,fi_functors,
( sK132_m___W3("1") = "1"
& sK132_m___W3("2") = "1" ) ).
fof(sK27_mSetEq_W2,fi_functors,
( sK27_mSetEq_W2("1","1") = "1"
& sK27_mSetEq_W2("1","2") = "1"
& sK27_mSetEq_W2("2","1") = "1"
& sK27_mSetEq_W2("2","2") = "1" ) ).
fof(sK28_mSetEq_W2,fi_functors,
( sK28_mSetEq_W2("1","1") = "1"
& sK28_mSetEq_W2("1","2") = "1"
& sK28_mSetEq_W2("2","1") = "1"
& sK28_mSetEq_W2("2","2") = "1" ) ).
fof(sK32_mDefSSum_W3,fi_functors,
( sK32_mDefSSum_W3("1","1","1") = "1"
& sK32_mDefSSum_W3("1","1","2") = "1"
& sK32_mDefSSum_W3("1","2","1") = "1"
& sK32_mDefSSum_W3("1","2","2") = "1"
& sK32_mDefSSum_W3("2","1","1") = "1"
& sK32_mDefSSum_W3("2","1","2") = "1"
& sK32_mDefSSum_W3("2","2","1") = "1"
& sK32_mDefSSum_W3("2","2","2") = "1" ) ).
fof(sK33_mDefSSum_W4,fi_functors,
( sK33_mDefSSum_W4("1","1","1") = "2"
& sK33_mDefSSum_W4("1","1","2") = "1"
& sK33_mDefSSum_W4("1","2","1") = "1"
& sK33_mDefSSum_W4("1","2","2") = "2"
& sK33_mDefSSum_W4("2","1","1") = "2"
& sK33_mDefSSum_W4("2","1","2") = "2"
& sK33_mDefSSum_W4("2","2","1") = "2"
& sK33_mDefSSum_W4("2","2","2") = "2" ) ).
fof(sK34_mDefSSum_W5,fi_functors,
( sK34_mDefSSum_W5("1","1","1") = "1"
& sK34_mDefSSum_W5("1","1","2") = "1"
& sK34_mDefSSum_W5("1","2","1") = "2"
& sK34_mDefSSum_W5("1","2","2") = "2"
& sK34_mDefSSum_W5("2","1","1") = "1"
& sK34_mDefSSum_W5("2","1","2") = "2"
& sK34_mDefSSum_W5("2","2","1") = "1"
& sK34_mDefSSum_W5("2","2","2") = "2" ) ).
fof(sK42_mDefSInt_W3,fi_functors,
( sK42_mDefSInt_W3("1","1","1") = "1"
& sK42_mDefSInt_W3("1","1","2") = "1"
& sK42_mDefSInt_W3("1","2","1") = "1"
& sK42_mDefSInt_W3("1","2","2") = "1"
& sK42_mDefSInt_W3("2","1","1") = "1"
& sK42_mDefSInt_W3("2","1","2") = "1"
& sK42_mDefSInt_W3("2","2","1") = "1"
& sK42_mDefSInt_W3("2","2","2") = "1" ) ).
fof(sK47_mDefIdeal_W1,fi_functors,
( sK47_mDefIdeal_W1("1") = "1"
& sK47_mDefIdeal_W1("2") = "1" ) ).
fof(sK48_mDefIdeal_W2,fi_functors,
( sK48_mDefIdeal_W2("1") = "1"
& sK48_mDefIdeal_W2("2") = "1" ) ).
fof(sK49_mDefIdeal_W2,fi_functors,
( sK49_mDefIdeal_W2("1") = "2"
& sK49_mDefIdeal_W2("2") = "2" ) ).
fof(sK61_mChineseRemainder_W2,fi_functors,
( sK61_mChineseRemainder_W2("1","1") = "1"
& sK61_mChineseRemainder_W2("1","2") = "1"
& sK61_mChineseRemainder_W2("2","1") = "1"
& sK61_mChineseRemainder_W2("2","2") = "1" ) ).
fof(sK62_mChineseRemainder_W4,fi_functors,
( sK62_mChineseRemainder_W4("1","1","1","1") = "1"
& sK62_mChineseRemainder_W4("1","1","1","2") = "1"
& sK62_mChineseRemainder_W4("1","1","2","1") = "1"
& sK62_mChineseRemainder_W4("1","1","2","2") = "1"
& sK62_mChineseRemainder_W4("1","2","1","1") = "1"
& sK62_mChineseRemainder_W4("1","2","1","2") = "2"
& sK62_mChineseRemainder_W4("1","2","2","1") = "1"
& sK62_mChineseRemainder_W4("1","2","2","2") = "2"
& sK62_mChineseRemainder_W4("2","1","1","1") = "1"
& sK62_mChineseRemainder_W4("2","1","1","2") = "1"
& sK62_mChineseRemainder_W4("2","1","2","1") = "2"
& sK62_mChineseRemainder_W4("2","1","2","2") = "2"
& sK62_mChineseRemainder_W4("2","2","1","1") = "1"
& sK62_mChineseRemainder_W4("2","2","1","2") = "1"
& sK62_mChineseRemainder_W4("2","2","2","1") = "1"
& sK62_mChineseRemainder_W4("2","2","2","2") = "1" ) ).
fof(sK68_mDivision_W2,fi_functors,
( sK68_mDivision_W2("1","1") = "2"
& sK68_mDivision_W2("1","2") = "1"
& sK68_mDivision_W2("2","1") = "1"
& sK68_mDivision_W2("2","2") = "1" ) ).
fof(sK69_mDivision_W3,fi_functors,
( sK69_mDivision_W3("1","1") = "1"
& sK69_mDivision_W3("1","2") = "1"
& sK69_mDivision_W3("2","1") = "1"
& sK69_mDivision_W3("2","2") = "1" ) ).
fof(sK72_mDefDiv_W2,fi_functors,
( sK72_mDefDiv_W2("1","1") = "1"
& sK72_mDefDiv_W2("1","2") = "2"
& sK72_mDefDiv_W2("2","1") = "2"
& sK72_mDefDiv_W2("2","2") = "1" ) ).
fof(sK78_mDefGCD_W3,fi_functors,
( sK78_mDefGCD_W3("1","1","1") = "1"
& sK78_mDefGCD_W3("1","1","2") = "1"
& sK78_mDefGCD_W3("1","2","1") = "1"
& sK78_mDefGCD_W3("1","2","2") = "1"
& sK78_mDefGCD_W3("2","1","1") = "2"
& sK78_mDefGCD_W3("2","1","2") = "1"
& sK78_mDefGCD_W3("2","2","1") = "2"
& sK78_mDefGCD_W3("2","2","2") = "1" ) ).
fof(sK86_mDefPrIdeal_W2,fi_functors,
( sK86_mDefPrIdeal_W2("1","1") = "1"
& sK86_mDefPrIdeal_W2("1","2") = "1"
& sK86_mDefPrIdeal_W2("2","1") = "1"
& sK86_mDefPrIdeal_W2("2","2") = "1" ) ).
fof(sK87_mDefPrIdeal_W3,fi_functors,
( sK87_mDefPrIdeal_W3("1","1") = "1"
& sK87_mDefPrIdeal_W3("1","2") = "2"
& sK87_mDefPrIdeal_W3("2","1") = "2"
& sK87_mDefPrIdeal_W3("2","2") = "1" ) ).
fof(sK93_m__2129_W0,fi_functors,
sK93_m__2129_W0 = "2" ).
fof(sK94_m__2129_W0,fi_functors,
sK94_m__2129_W0 = "1" ).
fof(sK95_m__2129_W1,fi_functors,
( sK95_m__2129_W1("1") = "1"
& sK95_m__2129_W1("2") = "1" ) ).
fof(sP31_mDefSSum_equiv,fi_predicates,
( ( sP31_mDefSSum_equiv("1","1","1")
<=> $true )
& ( sP31_mDefSSum_equiv("1","1","2")
<=> $true )
& ( sP31_mDefSSum_equiv("1","2","1")
<=> $true )
& ( sP31_mDefSSum_equiv("1","2","2")
<=> $true )
& ( sP31_mDefSSum_equiv("2","1","1")
<=> $true )
& ( sP31_mDefSSum_equiv("2","1","2")
<=> $true )
& ( sP31_mDefSSum_equiv("2","2","1")
<=> $false )
& ( sP31_mDefSSum_equiv("2","2","2")
<=> $true ) ) ).
fof(sP41_mDefSInt_equiv,fi_predicates,
( ( sP41_mDefSInt_equiv("1","1","1")
<=> $true )
& ( sP41_mDefSInt_equiv("1","1","2")
<=> $true )
& ( sP41_mDefSInt_equiv("1","2","1")
<=> $false )
& ( sP41_mDefSInt_equiv("1","2","2")
<=> $true )
& ( sP41_mDefSInt_equiv("2","1","1")
<=> $false )
& ( sP41_mDefSInt_equiv("2","1","2")
<=> $true )
& ( sP41_mDefSInt_equiv("2","2","1")
<=> $false )
& ( sP41_mDefSInt_equiv("2","2","2")
<=> $true ) ) ).
fof(sP85_mDefPrIdeal_equiv,fi_predicates,
( ( sP85_mDefPrIdeal_equiv("1","1")
<=> $true )
& ( sP85_mDefPrIdeal_equiv("1","2")
<=> $true )
& ( sP85_mDefPrIdeal_equiv("2","1")
<=> $false )
& ( sP85_mDefPrIdeal_equiv("2","2")
<=> $true ) ) ).
fof(sP96_m__2129_or,fi_predicates,
( ( sP96_m__2129_or("1")
<=> $false )
& ( sP96_m__2129_or("2")
<=> $false ) ) ).
fof(sP97_m__2129_or,fi_predicates,
( ( sP97_m__2129_or("1")
<=> $false )
& ( sP97_m__2129_or("2")
<=> $true ) ) ).
fof(sdtasasdt0,fi_functors,
( sdtasasdt0("1","1") = "1"
& sdtasasdt0("1","2") = "2"
& sdtasasdt0("2","1") = "2"
& sdtasasdt0("2","2") = "2" ) ).
fof(sdtasdt0,fi_functors,
( sdtasdt0("1","1") = "1"
& sdtasdt0("1","2") = "2"
& sdtasdt0("2","1") = "2"
& sdtasdt0("2","2") = "2" ) ).
fof(sdteqdtlpzmzozddtrp0,fi_predicates,
( ( sdteqdtlpzmzozddtrp0("1","1","1")
<=> $true )
& ( sdteqdtlpzmzozddtrp0("1","1","2")
<=> $true )
& ( sdteqdtlpzmzozddtrp0("1","2","1")
<=> $true )
& ( sdteqdtlpzmzozddtrp0("1","2","2")
<=> $false )
& ( sdteqdtlpzmzozddtrp0("2","1","1")
<=> $true )
& ( sdteqdtlpzmzozddtrp0("2","1","2")
<=> $false )
& ( sdteqdtlpzmzozddtrp0("2","2","1")
<=> $true )
& ( sdteqdtlpzmzozddtrp0("2","2","2")
<=> $true ) ) ).
fof(sdtpldt0,fi_functors,
( sdtpldt0("1","1") = "2"
& sdtpldt0("1","2") = "1"
& sdtpldt0("2","1") = "1"
& sdtpldt0("2","2") = "2" ) ).
fof(sdtpldt1,fi_functors,
( sdtpldt1("1","1") = "1"
& sdtpldt1("1","2") = "1"
& sdtpldt1("2","1") = "1"
& sdtpldt1("2","2") = "2" ) ).
fof(slsdtgt0,fi_functors,
( slsdtgt0("1") = "1"
& slsdtgt0("2") = "2" ) ).
fof(smndt0,fi_functors,
( smndt0("1") = "1"
& smndt0("2") = "2" ) ).
fof(sz00,fi_functors,
sz00 = "2" ).
fof(sz10,fi_functors,
sz10 = "1" ).
fof(xI,fi_functors,
xI = "1" ).
fof(xa,fi_functors,
xa = "2" ).
fof(xb,fi_functors,
xb = "1" ).
fof(xc,fi_functors,
xc = "1" ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG110+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.34 % Computer : n023.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 06:04:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Paradox, version 4.0, 2010-06-29.
% 0.12/0.34 +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.19/0.38 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 +++ BEGIN MODEL
% 0.19/0.47 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.47 +++ END MODEL
% 0.19/0.47 +++ RESULT: CounterSatisfiable
% 0.19/0.47 SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------