TSTP Solution File: COM014+4 by Paradox---4.0
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%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : COM014+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n019.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 : Fri Jul 15 01:36:47 EDT 2022
% Result : CounterSatisfiable 0.18s 0.41s
% Output : FiniteModel 0.18s
% Verified :
% SZS Type : FiniteModel
% Domain size : 3
% Comments :
%------------------------------------------------------------------------------
% domain size is 3
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3" ) ).
fof(aElement0,fi_predicates,
( ( aElement0("1")
<=> $true )
& ( aElement0("2")
<=> $true )
& ( aElement0("3")
<=> $true ) ) ).
fof(aNormalFormOfIn0,fi_predicates,
( ( aNormalFormOfIn0("1","1","1")
<=> $false )
& ( aNormalFormOfIn0("1","2","1")
<=> $false )
& ( aNormalFormOfIn0("1","3","1")
<=> $false )
& ( aNormalFormOfIn0("2","1","1")
<=> $true )
& ( aNormalFormOfIn0("2","2","1")
<=> $true )
& ( aNormalFormOfIn0("2","3","1")
<=> $false )
& ( aNormalFormOfIn0("3","1","1")
<=> $true )
& ( aNormalFormOfIn0("3","2","1")
<=> $false )
& ( aNormalFormOfIn0("3","3","1")
<=> $true )
& ! [X1,X2] :
( aNormalFormOfIn0(X1,X2,"2")
<=> aNormalFormOfIn0(X1,X2,"1") )
& ! [X1,X2] :
( aNormalFormOfIn0(X1,X2,"3")
<=> aNormalFormOfIn0(X1,X2,"2") ) ) ).
fof(aReductOfIn0,fi_predicates,
( ( aReductOfIn0("1","1","1")
<=> $true )
& ( aReductOfIn0("1","2","1")
<=> $false )
& ( aReductOfIn0("1","3","1")
<=> $false )
& ( aReductOfIn0("2","1","1")
<=> $false )
& ( aReductOfIn0("2","2","1")
<=> $false )
& ( aReductOfIn0("2","3","1")
<=> $false )
& ( aReductOfIn0("3","1","1")
<=> $false )
& ( aReductOfIn0("3","2","1")
<=> $false )
& ( aReductOfIn0("3","3","1")
<=> $false )
& ! [X1,X2] :
( aReductOfIn0(X1,X2,"2")
<=> aReductOfIn0(X1,X2,"1") )
& ! [X1,X2] :
( aReductOfIn0(X1,X2,"3")
<=> aReductOfIn0(X1,X2,"2") ) ) ).
fof(aRewritingSystem0,fi_predicates,
( ( aRewritingSystem0("1")
<=> $true )
& ( aRewritingSystem0("2")
<=> aRewritingSystem0("1") )
& ( aRewritingSystem0("3")
<=> aRewritingSystem0("2") ) ) ).
fof(iLess0,fi_predicates,
( ( iLess0("1","1")
<=> $true )
& ( iLess0("1","2")
<=> $false )
& ( iLess0("1","3")
<=> $false )
& ( iLess0("2","1")
<=> $true )
& ( iLess0("2","2")
<=> $true )
& ( iLess0("2","3")
<=> $false )
& ( iLess0("3","1")
<=> $true )
& ( iLess0("3","2")
<=> $false )
& ( iLess0("3","3")
<=> $false ) ) ).
fof(isConfluent0,fi_predicates,
( ( isConfluent0("1")
<=> $false )
& ( isConfluent0("2")
<=> isConfluent0("1") )
& ( isConfluent0("3")
<=> isConfluent0("2") ) ) ).
fof(isLocallyConfluent0,fi_predicates,
( ( isLocallyConfluent0("1")
<=> $true )
& ( isLocallyConfluent0("2")
<=> isLocallyConfluent0("1") )
& ( isLocallyConfluent0("3")
<=> isLocallyConfluent0("2") ) ) ).
fof(isTerminating0,fi_predicates,
( ( isTerminating0("1")
<=> $true )
& ( isTerminating0("2")
<=> isTerminating0("1") )
& ( isTerminating0("3")
<=> isTerminating0("2") ) ) ).
fof(sK19_mCRDef_W4,fi_functors,
( sK19_mCRDef_W4("1","1","1") = "1"
& sK19_mCRDef_W4("1","1","2") = "3"
& sK19_mCRDef_W4("1","1","3") = "3"
& sK19_mCRDef_W4("1","2","1") = "3"
& sK19_mCRDef_W4("1","2","2") = "1"
& sK19_mCRDef_W4("1","2","3") = "3"
& sK19_mCRDef_W4("1","3","1") = "3"
& sK19_mCRDef_W4("1","3","2") = "3"
& sK19_mCRDef_W4("1","3","3") = "3"
& ! [X2,X3] : sK19_mCRDef_W4("2",X2,X3) = sK19_mCRDef_W4("1",X2,X3)
& ! [X2,X3] : sK19_mCRDef_W4("3",X2,X3) = sK19_mCRDef_W4("2",X2,X3) ) ).
fof(sK20_mCRDef_W3,fi_functors,
( sK20_mCRDef_W3("1") = "3"
& sK20_mCRDef_W3("2") = sK20_mCRDef_W3("1")
& sK20_mCRDef_W3("3") = sK20_mCRDef_W3("2") ) ).
fof(sK21_mCRDef_W2,fi_functors,
( sK21_mCRDef_W2("1") = "2"
& sK21_mCRDef_W2("2") = sK21_mCRDef_W2("1")
& sK21_mCRDef_W2("3") = sK21_mCRDef_W2("2") ) ).
fof(sK22_mCRDef_W1,fi_functors,
( sK22_mCRDef_W1("1") = "1"
& sK22_mCRDef_W1("2") = sK22_mCRDef_W1("1")
& sK22_mCRDef_W1("3") = sK22_mCRDef_W1("2") ) ).
fof(sK28_mWCRDef_W4,fi_functors,
( sK28_mWCRDef_W4("1","1","1") = "1"
& sK28_mWCRDef_W4("1","1","2") = "1"
& sK28_mWCRDef_W4("1","1","3") = "3"
& sK28_mWCRDef_W4("1","2","1") = "2"
& sK28_mWCRDef_W4("1","2","2") = "1"
& sK28_mWCRDef_W4("1","2","3") = "3"
& sK28_mWCRDef_W4("1","3","1") = "3"
& sK28_mWCRDef_W4("1","3","2") = "2"
& sK28_mWCRDef_W4("1","3","3") = "3"
& ! [X2,X3] : sK28_mWCRDef_W4("2",X2,X3) = sK28_mWCRDef_W4("1",X2,X3)
& ! [X2,X3] : sK28_mWCRDef_W4("3",X2,X3) = sK28_mWCRDef_W4("2",X2,X3) ) ).
fof(sK29_mWCRDef_W3,fi_functors,
( sK29_mWCRDef_W3("1") = "1"
& sK29_mWCRDef_W3("2") = sK29_mWCRDef_W3("1")
& sK29_mWCRDef_W3("3") = sK29_mWCRDef_W3("2") ) ).
fof(sK30_mWCRDef_W2,fi_functors,
( sK30_mWCRDef_W2("1") = "1"
& sK30_mWCRDef_W2("2") = sK30_mWCRDef_W2("1")
& sK30_mWCRDef_W2("3") = sK30_mWCRDef_W2("2") ) ).
fof(sK31_mWCRDef_W1,fi_functors,
( sK31_mWCRDef_W1("1") = "1"
& sK31_mWCRDef_W1("2") = sK31_mWCRDef_W1("1")
& sK31_mWCRDef_W1("3") = sK31_mWCRDef_W1("2") ) ).
fof(sK37_mTermin_W2,fi_functors,
( sK37_mTermin_W2("1") = "1"
& sK37_mTermin_W2("2") = sK37_mTermin_W2("1")
& sK37_mTermin_W2("3") = sK37_mTermin_W2("2") ) ).
fof(sK38_mTermin_W1,fi_functors,
( sK38_mTermin_W1("1") = "1"
& sK38_mTermin_W1("2") = sK38_mTermin_W1("1")
& sK38_mTermin_W1("3") = sK38_mTermin_W1("2") ) ).
fof(sK3_mTCDef_W3,fi_functors,
( sK3_mTCDef_W3("1","1","1") = "1"
& sK3_mTCDef_W3("1","1","2") = "1"
& sK3_mTCDef_W3("1","1","3") = "1"
& sK3_mTCDef_W3("2","1","1") = "3"
& sK3_mTCDef_W3("2","1","2") = "2"
& sK3_mTCDef_W3("2","1","3") = "2"
& sK3_mTCDef_W3("3","1","1") = "2"
& sK3_mTCDef_W3("3","1","2") = "2"
& sK3_mTCDef_W3("3","1","3") = "2"
& ! [X1,X3] : sK3_mTCDef_W3(X1,"2",X3) = sK3_mTCDef_W3(X1,"1",X3)
& ! [X1,X3] : sK3_mTCDef_W3(X1,"3",X3) = sK3_mTCDef_W3(X1,"2",X3) ) ).
fof(sK42_mNFRDef_W3,fi_functors,
( sK42_mNFRDef_W3("1","1") = "1"
& sK42_mNFRDef_W3("1","2") = "1"
& sK42_mNFRDef_W3("1","3") = "2"
& ! [X2] : sK42_mNFRDef_W3("2",X2) = sK42_mNFRDef_W3("1",X2)
& ! [X2] : sK42_mNFRDef_W3("3",X2) = sK42_mNFRDef_W3("2",X2) ) ).
fof(sK47_mTermNF_W2,fi_functors,
( sK47_mTermNF_W2("1","1") = "2"
& sK47_mTermNF_W2("1","2") = "2"
& sK47_mTermNF_W2("1","3") = "3"
& ! [X2] : sK47_mTermNF_W2("2",X2) = sK47_mTermNF_W2("1",X2)
& ! [X2] : sK47_mTermNF_W2("3",X2) = sK47_mTermNF_W2("2",X2) ) ).
fof(sK50_m___W0,fi_functors,
sK50_m___W0 = "1" ).
fof(sK51_m___W4,fi_functors,
( sK51_m___W4("1","1") = "1"
& sK51_m___W4("1","2") = "1"
& sK51_m___W4("1","3") = "2"
& sK51_m___W4("2","1") = "2"
& sK51_m___W4("2","2") = "1"
& sK51_m___W4("2","3") = "3"
& sK51_m___W4("3","1") = "3"
& sK51_m___W4("3","2") = "2"
& sK51_m___W4("3","3") = "3" ) ).
fof(sK52_m___W5,fi_functors,
( sK52_m___W5("1","1") = "1"
& sK52_m___W5("1","2") = "1"
& sK52_m___W5("1","3") = "2"
& sK52_m___W5("2","1") = "1"
& sK52_m___W5("2","2") = "1"
& sK52_m___W5("2","3") = "1"
& sK52_m___W5("3","1") = "1"
& sK52_m___W5("3","2") = "2"
& sK52_m___W5("3","3") = "2" ) ).
fof(sK53_m___W5,fi_functors,
( sK53_m___W5("1","1") = "1"
& sK53_m___W5("1","2") = "2"
& sK53_m___W5("1","3") = "2"
& sK53_m___W5("2","1") = "1"
& sK53_m___W5("2","2") = "1"
& sK53_m___W5("2","3") = "2"
& sK53_m___W5("3","1") = "2"
& sK53_m___W5("3","2") = "2"
& sK53_m___W5("3","3") = "2" ) ).
fof(sK54_m___W3,fi_functors,
sK54_m___W3 = "2" ).
fof(sK55_m___W2,fi_functors,
sK55_m___W2 = "3" ).
fof(sK56_m___W1,fi_functors,
sK56_m___W1 = "1" ).
fof(sK57_m___W4,fi_functors,
sK57_m___W4 = "1" ).
fof(sK58_m___W4,fi_functors,
sK58_m___W4 = "1" ).
fof(sP59_m___or,fi_predicates,
( ( sP59_m___or("1")
<=> $false )
& ( sP59_m___or("2")
<=> $true )
& ( sP59_m___or("3")
<=> $false ) ) ).
fof(sdtmndtasgtdt0,fi_predicates,
( ( sdtmndtasgtdt0("1","1","1")
<=> $true )
& ( sdtmndtasgtdt0("1","1","2")
<=> $true )
& ( sdtmndtasgtdt0("1","1","3")
<=> $true )
& ( sdtmndtasgtdt0("2","1","1")
<=> $false )
& ( sdtmndtasgtdt0("2","1","2")
<=> $true )
& ( sdtmndtasgtdt0("2","1","3")
<=> $false )
& ( sdtmndtasgtdt0("3","1","1")
<=> $false )
& ( sdtmndtasgtdt0("3","1","2")
<=> $false )
& ( sdtmndtasgtdt0("3","1","3")
<=> $true )
& ! [X1,X3] :
( sdtmndtasgtdt0(X1,"2",X3)
<=> sdtmndtasgtdt0(X1,"1",X3) )
& ! [X1,X3] :
( sdtmndtasgtdt0(X1,"3",X3)
<=> sdtmndtasgtdt0(X1,"2",X3) ) ) ).
fof(sdtmndtplgtdt0,fi_predicates,
( ( sdtmndtplgtdt0("1","1","1")
<=> $true )
& ( sdtmndtplgtdt0("1","1","2")
<=> $true )
& ( sdtmndtplgtdt0("1","1","3")
<=> $true )
& ( sdtmndtplgtdt0("2","1","1")
<=> $false )
& ( sdtmndtplgtdt0("2","1","2")
<=> $false )
& ( sdtmndtplgtdt0("2","1","3")
<=> $false )
& ( sdtmndtplgtdt0("3","1","1")
<=> $false )
& ( sdtmndtplgtdt0("3","1","2")
<=> $false )
& ( sdtmndtplgtdt0("3","1","3")
<=> $false )
& ! [X1,X3] :
( sdtmndtplgtdt0(X1,"2",X3)
<=> sdtmndtplgtdt0(X1,"1",X3) )
& ! [X1,X3] :
( sdtmndtplgtdt0(X1,"3",X3)
<=> sdtmndtplgtdt0(X1,"2",X3) ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM014+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.33 % Computer : n019.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 : Thu Jun 16 17:52:54 EDT 2022
% 0.12/0.33 % 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
% 0.12/0.36 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 +++ BEGIN MODEL
% 0.18/0.41 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.41 +++ END MODEL
% 0.18/0.41 +++ RESULT: CounterSatisfiable
% 0.18/0.41 SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------