TSTP Solution File: LCL909+1 by Paradox---4.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Paradox---4.0
% Problem : LCL909+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp:short
% Command : paradox --no-progress --time %d --tstp --model %s
% Computer : n021.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 13:35:51 EDT 2022
% Result : Satisfiable 0.19s 0.41s
% Output : FiniteModel 0.19s
% Verified :
% SZS Type : FiniteModel
% Domain size : 1
% Comments :
%------------------------------------------------------------------------------
% domain size is 1
fof(domain,fi_domain,
! [X] : X = "1" ).
fof(and,fi_functors,
and("1","1") = "1" ).
fof(and_1,fi_predicates,
( and_1
<=> $true ) ).
fof(and_2,fi_predicates,
( and_2
<=> $true ) ).
fof(and_3,fi_predicates,
( and_3
<=> $true ) ).
fof(cn1,fi_predicates,
( cn1
<=> $true ) ).
fof(cn2,fi_predicates,
( cn2
<=> $true ) ).
fof(cn3,fi_predicates,
( cn3
<=> $true ) ).
fof(equiv,fi_functors,
equiv("1","1") = "1" ).
fof(equivalence_1,fi_predicates,
( equivalence_1
<=> $true ) ).
fof(equivalence_2,fi_predicates,
( equivalence_2
<=> $true ) ).
fof(equivalence_3,fi_predicates,
( equivalence_3
<=> $true ) ).
fof(implies,fi_functors,
implies("1","1") = "1" ).
fof(implies_1,fi_predicates,
( implies_1
<=> $true ) ).
fof(implies_2,fi_predicates,
( implies_2
<=> $true ) ).
fof(implies_3,fi_predicates,
( implies_3
<=> $true ) ).
fof(is_a_theorem,fi_predicates,
( is_a_theorem("1")
<=> $true ) ).
fof(kn1,fi_predicates,
( kn1
<=> $true ) ).
fof(kn2,fi_predicates,
( kn2
<=> $true ) ).
fof(kn3,fi_predicates,
( kn3
<=> $true ) ).
fof(modus_ponens,fi_predicates,
( modus_ponens
<=> $true ) ).
fof(modus_tollens,fi_predicates,
( modus_tollens
<=> $true ) ).
fof(not,fi_functors,
not("1") = "1" ).
fof(op_and,fi_predicates,
( op_and
<=> $true ) ).
fof(op_equiv,fi_predicates,
( op_equiv
<=> $true ) ).
fof(op_implies_and,fi_predicates,
( op_implies_and
<=> $false ) ).
fof(op_implies_or,fi_predicates,
( op_implies_or
<=> $true ) ).
fof(op_or,fi_predicates,
( op_or
<=> $false ) ).
fof(or,fi_functors,
or("1","1") = "1" ).
fof(or_1,fi_predicates,
( or_1
<=> $true ) ).
fof(or_2,fi_predicates,
( or_2
<=> $true ) ).
fof(or_3,fi_predicates,
( or_3
<=> $true ) ).
fof(r1,fi_predicates,
( r1
<=> $true ) ).
fof(r2,fi_predicates,
( r2
<=> $true ) ).
fof(r3,fi_predicates,
( r3
<=> $true ) ).
fof(r4,fi_predicates,
( r4
<=> $true ) ).
fof(r5,fi_predicates,
( r5
<=> $true ) ).
fof(sK0_modus_ponens_Y,fi_functors,
sK0_modus_ponens_Y = "1" ).
fof(sK100_r4_P,fi_functors,
sK100_r4_P = "1" ).
fof(sK104_r5_R,fi_functors,
sK104_r5_R = "1" ).
fof(sK105_r5_Q,fi_functors,
sK105_r5_Q = "1" ).
fof(sK106_r5_P,fi_functors,
sK106_r5_P = "1" ).
fof(sK12_implies_1_Y,fi_functors,
sK12_implies_1_Y = "1" ).
fof(sK13_implies_1_X,fi_functors,
sK13_implies_1_X = "1" ).
fof(sK16_implies_2_Y,fi_functors,
sK16_implies_2_Y = "1" ).
fof(sK17_implies_2_X,fi_functors,
sK17_implies_2_X = "1" ).
fof(sK1_modus_ponens_X,fi_functors,
sK1_modus_ponens_X = "1" ).
fof(sK20_implies_3_Z,fi_functors,
sK20_implies_3_Z = "1" ).
fof(sK21_implies_3_Y,fi_functors,
sK21_implies_3_Y = "1" ).
fof(sK22_implies_3_X,fi_functors,
sK22_implies_3_X = "1" ).
fof(sK26_and_1_Y,fi_functors,
sK26_and_1_Y = "1" ).
fof(sK27_and_1_X,fi_functors,
sK27_and_1_X = "1" ).
fof(sK30_and_2_Y,fi_functors,
sK30_and_2_Y = "1" ).
fof(sK31_and_2_X,fi_functors,
sK31_and_2_X = "1" ).
fof(sK34_and_3_Y,fi_functors,
sK34_and_3_Y = "1" ).
fof(sK35_and_3_X,fi_functors,
sK35_and_3_X = "1" ).
fof(sK38_or_1_Y,fi_functors,
sK38_or_1_Y = "1" ).
fof(sK39_or_1_X,fi_functors,
sK39_or_1_X = "1" ).
fof(sK42_or_2_Y,fi_functors,
sK42_or_2_Y = "1" ).
fof(sK43_or_2_X,fi_functors,
sK43_or_2_X = "1" ).
fof(sK46_or_3_Z,fi_functors,
sK46_or_3_Z = "1" ).
fof(sK47_or_3_Y,fi_functors,
sK47_or_3_Y = "1" ).
fof(sK48_or_3_X,fi_functors,
sK48_or_3_X = "1" ).
fof(sK4_substitution_of_equivalents_Y,fi_functors,
sK4_substitution_of_equivalents_Y = "1" ).
fof(sK52_equivalence_1_Y,fi_functors,
sK52_equivalence_1_Y = "1" ).
fof(sK53_equivalence_1_X,fi_functors,
sK53_equivalence_1_X = "1" ).
fof(sK56_equivalence_2_Y,fi_functors,
sK56_equivalence_2_Y = "1" ).
fof(sK57_equivalence_2_X,fi_functors,
sK57_equivalence_2_X = "1" ).
fof(sK5_substitution_of_equivalents_X,fi_functors,
sK5_substitution_of_equivalents_X = "1" ).
fof(sK60_equivalence_3_Y,fi_functors,
sK60_equivalence_3_Y = "1" ).
fof(sK61_equivalence_3_X,fi_functors,
sK61_equivalence_3_X = "1" ).
fof(sK64_kn1_P,fi_functors,
sK64_kn1_P = "1" ).
fof(sK66_kn2_Q,fi_functors,
sK66_kn2_Q = "1" ).
fof(sK67_kn2_P,fi_functors,
sK67_kn2_P = "1" ).
fof(sK70_kn3_R,fi_functors,
sK70_kn3_R = "1" ).
fof(sK71_kn3_Q,fi_functors,
sK71_kn3_Q = "1" ).
fof(sK72_kn3_P,fi_functors,
sK72_kn3_P = "1" ).
fof(sK76_cn1_R,fi_functors,
sK76_cn1_R = "1" ).
fof(sK77_cn1_Q,fi_functors,
sK77_cn1_Q = "1" ).
fof(sK78_cn1_P,fi_functors,
sK78_cn1_P = "1" ).
fof(sK82_cn2_Q,fi_functors,
sK82_cn2_Q = "1" ).
fof(sK83_cn2_P,fi_functors,
sK83_cn2_P = "1" ).
fof(sK86_cn3_P,fi_functors,
sK86_cn3_P = "1" ).
fof(sK88_r1_P,fi_functors,
sK88_r1_P = "1" ).
fof(sK8_modus_tollens_Y,fi_functors,
sK8_modus_tollens_Y = "1" ).
fof(sK90_r2_Q,fi_functors,
sK90_r2_Q = "1" ).
fof(sK91_r2_P,fi_functors,
sK91_r2_P = "1" ).
fof(sK94_r3_Q,fi_functors,
sK94_r3_Q = "1" ).
fof(sK95_r3_P,fi_functors,
sK95_r3_P = "1" ).
fof(sK98_r4_R,fi_functors,
sK98_r4_R = "1" ).
fof(sK99_r4_Q,fi_functors,
sK99_r4_Q = "1" ).
fof(sK9_modus_tollens_X,fi_functors,
sK9_modus_tollens_X = "1" ).
fof(substitution_of_equivalents,fi_predicates,
( substitution_of_equivalents
<=> $true ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL909+1 : TPTP v8.1.0. Released v6.4.0.
% 0.12/0.12 % Command : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 4 23:13:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.34 Paradox, version 4.0, 2010-06-29.
% 0.19/0.34 +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.34 Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.19/0.34 Reading 'Axioms/LCL006+0.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax') OK
% 0.19/0.35 Reading 'Axioms/LCL006+1.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax') OK
% 0.19/0.35 Reading 'Axioms/LCL006+4.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/LCL006+4.ax') OK
% 0.19/0.36 +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 +++ BEGIN MODEL
% 0.19/0.41 SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.41 +++ END MODEL
% 0.19/0.41 +++ RESULT: Satisfiable
% 0.19/0.41 SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------