TSTP Solution File: LCL578+1 by Paradox---4.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : LCL578+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% 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 : Sun Jul 17 13:32:32 EDT 2022
% Result : CounterSatisfiable 0.19s 0.46s
% Output : FiniteModel 0.19s
% Verified :
% SZS Type : FiniteModel
% Domain size : 3
% Comments :
%------------------------------------------------------------------------------
% domain size is 3
fof(domain,fi_domain,
! [X] :
( X = "1"
| X = "2"
| X = "3" ) ).
fof(adjunction,fi_predicates,
( adjunction
<=> $true ) ).
fof(and,fi_functors,
( and("1","1") = "1"
& and("1","2") = "2"
& and("1","3") = "1"
& and("2","1") = "2"
& and("2","2") = "2"
& and("2","3") = "2"
& and("3","1") = "1"
& and("3","2") = "2"
& and("3","3") = "3" ) ).
fof(axiom_4,fi_predicates,
( axiom_4
<=> $false ) ).
fof(axiom_5,fi_predicates,
( axiom_5
<=> $false ) ).
fof(axiom_B,fi_predicates,
( axiom_B
<=> $false ) ).
fof(axiom_K,fi_predicates,
( axiom_K
<=> $false ) ).
fof(axiom_M,fi_predicates,
( axiom_M
<=> $false ) ).
fof(axiom_m1,fi_predicates,
( axiom_m1
<=> $true ) ).
fof(axiom_m10,fi_predicates,
( axiom_m10
<=> $true ) ).
fof(axiom_m2,fi_predicates,
( axiom_m2
<=> $true ) ).
fof(axiom_m3,fi_predicates,
( axiom_m3
<=> $true ) ).
fof(axiom_m4,fi_predicates,
( axiom_m4
<=> $true ) ).
fof(axiom_m5,fi_predicates,
( axiom_m5
<=> $true ) ).
fof(axiom_m6,fi_predicates,
( axiom_m6
<=> $false ) ).
fof(axiom_m7,fi_predicates,
( axiom_m7
<=> $false ) ).
fof(axiom_m8,fi_predicates,
( axiom_m8
<=> $false ) ).
fof(axiom_m9,fi_predicates,
( axiom_m9
<=> $false ) ).
fof(axiom_s1,fi_predicates,
( axiom_s1
<=> $false ) ).
fof(axiom_s2,fi_predicates,
( axiom_s2
<=> $false ) ).
fof(axiom_s3,fi_predicates,
( axiom_s3
<=> $false ) ).
fof(axiom_s4,fi_predicates,
( axiom_s4
<=> $false ) ).
fof(equiv,fi_functors,
( equiv("1","1") = "1"
& equiv("1","2") = "1"
& equiv("1","3") = "1"
& equiv("2","1") = "1"
& equiv("2","2") = "1"
& equiv("2","3") = "1"
& equiv("3","1") = "1"
& equiv("3","2") = "1"
& equiv("3","3") = "1" ) ).
fof(implies,fi_functors,
( implies("1","1") = "1"
& implies("1","2") = "3"
& implies("1","3") = "1"
& implies("2","1") = "1"
& implies("2","2") = "1"
& implies("2","3") = "1"
& implies("3","1") = "3"
& implies("3","2") = "3"
& implies("3","3") = "1" ) ).
fof(is_a_theorem,fi_predicates,
( ( is_a_theorem("1")
<=> $false )
& ( is_a_theorem("2")
<=> $false )
& ( is_a_theorem("3")
<=> $true ) ) ).
fof(modus_ponens_strict_implies,fi_predicates,
( modus_ponens_strict_implies
<=> $true ) ).
fof(necessarily,fi_functors,
( necessarily("1") = "3"
& necessarily("2") = "1"
& necessarily("3") = "2" ) ).
fof(necessitation,fi_predicates,
( necessitation
<=> $false ) ).
fof(not,fi_functors,
( not("1") = "2"
& not("2") = "1"
& not("3") = "1" ) ).
fof(op_and,fi_predicates,
( op_and
<=> $false ) ).
fof(op_equiv,fi_predicates,
( op_equiv
<=> $true ) ).
fof(op_implies,fi_predicates,
( op_implies
<=> $true ) ).
fof(op_implies_and,fi_predicates,
( op_implies_and
<=> $false ) ).
fof(op_implies_or,fi_predicates,
( op_implies_or
<=> $false ) ).
fof(op_necessarily,fi_predicates,
( op_necessarily
<=> $false ) ).
fof(op_or,fi_predicates,
( op_or
<=> $true ) ).
fof(op_possibly,fi_predicates,
( op_possibly
<=> $true ) ).
fof(op_strict_equiv,fi_predicates,
( op_strict_equiv
<=> $true ) ).
fof(op_strict_implies,fi_predicates,
( op_strict_implies
<=> $true ) ).
fof(or,fi_functors,
( or("1","1") = "1"
& or("1","2") = "1"
& or("1","3") = "1"
& or("2","1") = "1"
& or("2","2") = "2"
& or("2","3") = "2"
& or("3","1") = "1"
& or("3","2") = "2"
& or("3","3") = "2" ) ).
fof(possibly,fi_functors,
( possibly("1") = "2"
& possibly("2") = "1"
& possibly("3") = "1" ) ).
fof(sK10_necessitation_X,fi_functors,
sK10_necessitation_X = "3" ).
fof(sK12_modus_ponens_strict_implies_Y,fi_functors,
sK12_modus_ponens_strict_implies_Y = "1" ).
fof(sK13_modus_ponens_strict_implies_X,fi_functors,
sK13_modus_ponens_strict_implies_X = "1" ).
fof(sK16_adjunction_Y,fi_functors,
sK16_adjunction_Y = "1" ).
fof(sK17_adjunction_X,fi_functors,
sK17_adjunction_X = "1" ).
fof(sK20_substitution_strict_equiv_Y,fi_functors,
sK20_substitution_strict_equiv_Y = "1" ).
fof(sK21_substitution_strict_equiv_X,fi_functors,
sK21_substitution_strict_equiv_X = "2" ).
fof(sK24_axiom_K_Y,fi_functors,
sK24_axiom_K_Y = "2" ).
fof(sK25_axiom_K_X,fi_functors,
sK25_axiom_K_X = "3" ).
fof(sK28_axiom_M_X,fi_functors,
sK28_axiom_M_X = "3" ).
fof(sK30_axiom_4_X,fi_functors,
sK30_axiom_4_X = "2" ).
fof(sK32_axiom_B_X,fi_functors,
sK32_axiom_B_X = "3" ).
fof(sK34_axiom_5_X,fi_functors,
sK34_axiom_5_X = "1" ).
fof(sK36_axiom_s1_Z,fi_functors,
sK36_axiom_s1_Z = "2" ).
fof(sK37_axiom_s1_Y,fi_functors,
sK37_axiom_s1_Y = "3" ).
fof(sK38_axiom_s1_X,fi_functors,
sK38_axiom_s1_X = "1" ).
fof(sK42_axiom_s2_Q,fi_functors,
sK42_axiom_s2_Q = "1" ).
fof(sK43_axiom_s2_P,fi_functors,
sK43_axiom_s2_P = "2" ).
fof(sK46_axiom_s3_Y,fi_functors,
sK46_axiom_s3_Y = "1" ).
fof(sK47_axiom_s3_X,fi_functors,
sK47_axiom_s3_X = "2" ).
fof(sK50_axiom_s4_X,fi_functors,
sK50_axiom_s4_X = "1" ).
fof(sK52_axiom_m1_Y,fi_functors,
sK52_axiom_m1_Y = "1" ).
fof(sK53_axiom_m1_X,fi_functors,
sK53_axiom_m1_X = "3" ).
fof(sK56_axiom_m2_Y,fi_functors,
sK56_axiom_m2_Y = "1" ).
fof(sK57_axiom_m2_X,fi_functors,
sK57_axiom_m2_X = "1" ).
fof(sK60_axiom_m3_Z,fi_functors,
sK60_axiom_m3_Z = "1" ).
fof(sK61_axiom_m3_Y,fi_functors,
sK61_axiom_m3_Y = "1" ).
fof(sK62_axiom_m3_X,fi_functors,
sK62_axiom_m3_X = "3" ).
fof(sK66_axiom_m4_X,fi_functors,
sK66_axiom_m4_X = "1" ).
fof(sK68_axiom_m5_Z,fi_functors,
sK68_axiom_m5_Z = "2" ).
fof(sK69_axiom_m5_Y,fi_functors,
sK69_axiom_m5_Y = "1" ).
fof(sK70_axiom_m5_X,fi_functors,
sK70_axiom_m5_X = "1" ).
fof(sK74_axiom_m6_X,fi_functors,
sK74_axiom_m6_X = "1" ).
fof(sK76_axiom_m7_Q,fi_functors,
sK76_axiom_m7_Q = "1" ).
fof(sK77_axiom_m7_P,fi_functors,
sK77_axiom_m7_P = "2" ).
fof(sK80_axiom_m8_Q,fi_functors,
sK80_axiom_m8_Q = "1" ).
fof(sK81_axiom_m8_P,fi_functors,
sK81_axiom_m8_P = "2" ).
fof(sK84_axiom_m9_X,fi_functors,
sK84_axiom_m9_X = "1" ).
fof(sK86_axiom_m10_X,fi_functors,
sK86_axiom_m10_X = "1" ).
fof(strict_equiv,fi_functors,
( strict_equiv("1","1") = "3"
& strict_equiv("1","2") = "2"
& strict_equiv("1","3") = "2"
& strict_equiv("2","1") = "2"
& strict_equiv("2","2") = "3"
& strict_equiv("2","3") = "2"
& strict_equiv("3","1") = "2"
& strict_equiv("3","2") = "2"
& strict_equiv("3","3") = "3" ) ).
fof(strict_implies,fi_functors,
( strict_implies("1","1") = "3"
& strict_implies("1","2") = "2"
& strict_implies("1","3") = "3"
& strict_implies("2","1") = "3"
& strict_implies("2","2") = "3"
& strict_implies("2","3") = "3"
& strict_implies("3","1") = "2"
& strict_implies("3","2") = "2"
& strict_implies("3","3") = "3" ) ).
fof(substitution_strict_equiv,fi_predicates,
( substitution_strict_equiv
<=> $true ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL578+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 4 06:53:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Paradox, version 4.0, 2010-06-29.
% 0.13/0.34 +++ PROBLEM: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 Reading '/export/starexec/sandbox/benchmark/theBenchmark.p' ... OK
% 0.13/0.34 Reading 'Axioms/LCL006+1.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax') OK
% 0.13/0.35 Reading 'Axioms/LCL007+0.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/LCL007+0.ax') OK
% 0.13/0.35 Reading 'Axioms/LCL007+1.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/LCL007+1.ax') OK
% 0.13/0.36 Reading 'Axioms/LCL007+4.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/LCL007+4.ax') OK
% 0.13/0.36 Reading 'Axioms/LCL007+6.ax' ... ('/export/starexec/sandbox/benchmark/Axioms/LCL007+6.ax') OK
% 0.19/0.36 +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 +++ BEGIN MODEL
% 0.19/0.46 SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.46 +++ END MODEL
% 0.19/0.46 +++ RESULT: CounterSatisfiable
% 0.19/0.46 SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------