TSTP Solution File: KLE136+1 by Paradox---4.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : KLE136+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n025.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 : Sun Jul 17 02:20:22 EDT 2022
% Result : CounterSatisfiable 0.19s 0.44s
% Output : FiniteModel 0.19s
% Verified :
% SZS Type : FiniteModel
% Domain size : 4
% Comments :
%------------------------------------------------------------------------------
% domain size is 4
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3"
| X = "4" ) ).
fof(addition,fi_functors,
( addition("1","1") = "1"
& addition("1","2") = "2"
& addition("1","3") = "3"
& addition("1","4") = "4"
& addition("2","1") = "2"
& addition("2","2") = "2"
& addition("2","3") = "3"
& addition("2","4") = "4"
& addition("3","1") = "3"
& addition("3","2") = "3"
& addition("3","3") = "3"
& addition("3","4") = "3"
& addition("4","1") = "4"
& addition("4","2") = "4"
& addition("4","3") = "3"
& addition("4","4") = "4" ) ).
fof(antidomain,fi_functors,
( antidomain("1") = "3"
& antidomain("2") = "1"
& antidomain("3") = "1"
& antidomain("4") = "1" ) ).
fof(backward_box,fi_functors,
( backward_box("1","1") = "3"
& backward_box("1","2") = "3"
& backward_box("1","3") = "3"
& backward_box("1","4") = "3"
& backward_box("2","1") = "1"
& backward_box("2","2") = "3"
& backward_box("2","3") = "3"
& backward_box("2","4") = "3"
& backward_box("3","1") = "1"
& backward_box("3","2") = "3"
& backward_box("3","3") = "3"
& backward_box("3","4") = "3"
& backward_box("4","1") = "1"
& backward_box("4","2") = "3"
& backward_box("4","3") = "3"
& backward_box("4","4") = "3" ) ).
fof(backward_diamond,fi_functors,
( backward_diamond("1","1") = "1"
& backward_diamond("1","2") = "1"
& backward_diamond("1","3") = "1"
& backward_diamond("1","4") = "1"
& backward_diamond("2","1") = "1"
& backward_diamond("2","2") = "3"
& backward_diamond("2","3") = "3"
& backward_diamond("2","4") = "3"
& backward_diamond("3","1") = "1"
& backward_diamond("3","2") = "3"
& backward_diamond("3","3") = "3"
& backward_diamond("3","4") = "3"
& backward_diamond("4","1") = "1"
& backward_diamond("4","2") = "3"
& backward_diamond("4","3") = "3"
& backward_diamond("4","4") = "3" ) ).
fof(c,fi_functors,
( c("1") = "3"
& c("2") = "1"
& c("3") = "1"
& c("4") = "1" ) ).
fof(coantidomain,fi_functors,
( coantidomain("1") = "3"
& coantidomain("2") = "1"
& coantidomain("3") = "1"
& coantidomain("4") = "1" ) ).
fof(codomain,fi_functors,
( codomain("1") = "1"
& codomain("2") = "3"
& codomain("3") = "3"
& codomain("4") = "3" ) ).
fof(divergence,fi_functors,
( divergence("1") = "1"
& divergence("2") = "3"
& divergence("3") = "3"
& divergence("4") = "3" ) ).
fof(domain_001,fi_functors,
( domain("1") = "1"
& domain("2") = "3"
& domain("3") = "3"
& domain("4") = "3" ) ).
fof(domain_difference,fi_functors,
( domain_difference("1","1") = "1"
& domain_difference("1","2") = "1"
& domain_difference("1","3") = "1"
& domain_difference("1","4") = "1"
& domain_difference("2","1") = "3"
& domain_difference("2","2") = "1"
& domain_difference("2","3") = "1"
& domain_difference("2","4") = "1"
& domain_difference("3","1") = "3"
& domain_difference("3","2") = "1"
& domain_difference("3","3") = "1"
& domain_difference("3","4") = "1"
& domain_difference("4","1") = "3"
& domain_difference("4","2") = "1"
& domain_difference("4","3") = "1"
& domain_difference("4","4") = "1" ) ).
fof(forward_box,fi_functors,
( forward_box("1","1") = "3"
& forward_box("1","2") = "3"
& forward_box("1","3") = "3"
& forward_box("1","4") = "3"
& forward_box("2","1") = "1"
& forward_box("2","2") = "3"
& forward_box("2","3") = "3"
& forward_box("2","4") = "3"
& forward_box("3","1") = "1"
& forward_box("3","2") = "3"
& forward_box("3","3") = "3"
& forward_box("3","4") = "3"
& forward_box("4","1") = "1"
& forward_box("4","2") = "3"
& forward_box("4","3") = "3"
& forward_box("4","4") = "3" ) ).
fof(forward_diamond,fi_functors,
( forward_diamond("1","1") = "1"
& forward_diamond("1","2") = "1"
& forward_diamond("1","3") = "1"
& forward_diamond("1","4") = "1"
& forward_diamond("2","1") = "1"
& forward_diamond("2","2") = "3"
& forward_diamond("2","3") = "3"
& forward_diamond("2","4") = "3"
& forward_diamond("3","1") = "1"
& forward_diamond("3","2") = "3"
& forward_diamond("3","3") = "3"
& forward_diamond("3","4") = "3"
& forward_diamond("4","1") = "1"
& forward_diamond("4","2") = "3"
& forward_diamond("4","3") = "3"
& forward_diamond("4","4") = "3" ) ).
fof(leq,fi_predicates,
( ( leq("1","1")
<=> $true )
& ( leq("1","2")
<=> $true )
& ( leq("1","3")
<=> $true )
& ( leq("1","4")
<=> $true )
& ( leq("2","1")
<=> $false )
& ( leq("2","2")
<=> $true )
& ( leq("2","3")
<=> $true )
& ( leq("2","4")
<=> $true )
& ( leq("3","1")
<=> $false )
& ( leq("3","2")
<=> $false )
& ( leq("3","3")
<=> $true )
& ( leq("3","4")
<=> $false )
& ( leq("4","1")
<=> $false )
& ( leq("4","2")
<=> $false )
& ( leq("4","3")
<=> $true )
& ( leq("4","4")
<=> $true ) ) ).
fof(multiplication,fi_functors,
( multiplication("1","1") = "1"
& multiplication("1","2") = "1"
& multiplication("1","3") = "1"
& multiplication("1","4") = "1"
& multiplication("2","1") = "1"
& multiplication("2","2") = "2"
& multiplication("2","3") = "2"
& multiplication("2","4") = "2"
& multiplication("3","1") = "1"
& multiplication("3","2") = "2"
& multiplication("3","3") = "3"
& multiplication("3","4") = "4"
& multiplication("4","1") = "1"
& multiplication("4","2") = "2"
& multiplication("4","3") = "4"
& multiplication("4","4") = "2" ) ).
fof(one,fi_functors,
one = "3" ).
fof(sK47_goals_X1,fi_functors,
sK47_goals_X1 = "1" ).
fof(sK48_goals_X0,fi_functors,
sK48_goals_X0 = "1" ).
fof(star,fi_functors,
( star("1") = "4"
& star("2") = "2"
& star("3") = "3"
& star("4") = "3" ) ).
fof(zero,fi_functors,
zero = "1" ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE136+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.34 % Computer : n025.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 : Thu Jun 16 13:44:26 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/sandbox/benchmark/theBenchmark.p
% 0.12/0.35 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.12/0.35 Reading 'Axioms/KLE001+0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax') OK
% 0.12/0.35 Reading 'Axioms/KLE001+4.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax') OK
% 0.12/0.36 Reading 'Axioms/KLE001+6.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax') OK
% 0.12/0.36 Reading 'Axioms/KLE001+7.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/KLE001+7.ax') OK
% 0.12/0.36 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 +++ BEGIN MODEL
% 0.19/0.44 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.44 +++ END MODEL
% 0.19/0.44 +++ RESULT: CounterSatisfiable
% 0.19/0.44 SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------