TSTP Solution File: LCL669+1.005 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : LCL669+1.005 : 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 : Sun Jul 17 13:33:48 EDT 2022

% Result   : CounterSatisfiable 0.54s 0.75s
% Output   : FiniteModel 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL669+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.33  % Computer : n019.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 00:31:08 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
% 0.20/0.45  +++ SOLVING: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74  +++ BEGIN MODEL
% 0.54/0.74  SZS output start FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74  % domain size is 2
% 0.54/0.74  fof(domain, fi_domain,
% 0.54/0.74    (![X] : (X = "1" | X = "2"))
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p1, fi_predicates,
% 0.54/0.74    ( (p1("1") <=> $true)
% 0.54/0.74    & (p1("2") <=> $false)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p10, fi_predicates,
% 0.54/0.74    ( (p10("1") <=> $false)
% 0.54/0.74    & (p10("2") <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p11, fi_predicates,
% 0.54/0.74    ( (p11("1") <=> $true)
% 0.54/0.74    & (p11("2") <=> $false)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p12, fi_predicates,
% 0.54/0.74    ( (p12("1") <=> $false)
% 0.54/0.74    & (p12("2") <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p13, fi_predicates,
% 0.54/0.74    ( (p13("1") <=> $true)
% 0.54/0.74    & (p13("2") <=> $false)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p14, fi_predicates,
% 0.54/0.74    ( (p14("1") <=> $false)
% 0.54/0.74    & (p14("2") <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p15, fi_predicates,
% 0.54/0.74    ( (p15("1") <=> $true)
% 0.54/0.74    & (p15("2") <=> $false)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p16, fi_predicates,
% 0.54/0.74    ( (p16("1") <=> $false)
% 0.54/0.74    & (p16("2") <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p17, fi_predicates,
% 0.54/0.74    ( ![X1] : (p17(X1) <=> $false)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p18, fi_predicates,
% 0.54/0.74    ( ![X1] : (p18(X1) <=> $false)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p2, fi_predicates,
% 0.54/0.74    ( (p2("1") <=> $false)
% 0.54/0.74    & (p2("2") <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p20, fi_predicates,
% 0.54/0.74    ( ![X1] : (p20(X1) <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p22, fi_predicates,
% 0.54/0.74    ( ![X1] : (p22(X1) <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p24, fi_predicates,
% 0.54/0.74    ( ![X1] : (p24(X1) <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p26, fi_predicates,
% 0.54/0.74    ( ![X1] : (p26(X1) <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p28, fi_predicates,
% 0.54/0.74    ( ![X1] : (p28(X1) <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p3, fi_predicates,
% 0.54/0.74    ( (p3("1") <=> $true)
% 0.54/0.74    & (p3("2") <=> $false)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p30, fi_predicates,
% 0.54/0.74    ( ![X1] : (p30(X1) <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p32, fi_predicates,
% 0.54/0.74    ( ![X1] : (p32(X1) <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p34, fi_predicates,
% 0.54/0.74    ( ![X1] : (p34(X1) <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p4, fi_predicates,
% 0.54/0.74    ( (p4("1") <=> $false)
% 0.54/0.74    & (p4("2") <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p5, fi_predicates,
% 0.54/0.74    ( (p5("1") <=> $true)
% 0.54/0.74    & (p5("2") <=> $false)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p6, fi_predicates,
% 0.54/0.74    ( (p6("1") <=> $false)
% 0.54/0.74    & (p6("2") <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p7, fi_predicates,
% 0.54/0.74    ( (p7("1") <=> $true)
% 0.54/0.74    & (p7("2") <=> $false)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p8, fi_predicates,
% 0.54/0.74    ( (p8("1") <=> $false)
% 0.54/0.74    & (p8("2") <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(p9, fi_predicates,
% 0.54/0.74    ( (p9("1") <=> $true)
% 0.54/0.74    & (p9("2") <=> $false)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(r1, fi_predicates,
% 0.54/0.74    ( (r1("1","1") <=> $true)
% 0.54/0.74    & (r1("1","2") <=> $true)
% 0.54/0.74    & (r1("2","1") <=> $true)
% 0.54/0.74    & (r1("2","2") <=> $true)
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK10_main_X!2, fi_functors,
% 0.54/0.74    ( (sK10_main_X!2("1") = "2")
% 0.54/0.74    & (sK10_main_X!2("2") = "2")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK11_main_Y!2, fi_functors,
% 0.54/0.74    ( (sK11_main_Y!2("1") = "1")
% 0.54/0.74    & (sK11_main_Y!2("2") = "1")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK12_main_X!1, fi_functors,
% 0.54/0.74    ( (sK12_main_X!1("1") = "2")
% 0.54/0.74    & (sK12_main_X!1("2") = "2")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK13_main_Y!1, fi_functors,
% 0.54/0.74    ( (sK13_main_Y!1("1") = "1")
% 0.54/0.74    & (sK13_main_Y!1("2") = "1")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK14_main_X!0, fi_functors,
% 0.54/0.74    ( (sK14_main_X!0("1") = "2")
% 0.54/0.74    & (sK14_main_X!0("2") = "2")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK15_main_Y!0, fi_functors,
% 0.54/0.74    ( (sK15_main_Y!0("1") = "1")
% 0.54/0.74    & (sK15_main_Y!0("2") = "1")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK16_main_X, fi_functors,
% 0.54/0.74    ( (sK16_main_X("1") = "1")
% 0.54/0.74    & (sK16_main_X("2") = "2")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK17_main_Y, fi_functors,
% 0.54/0.74    ( (sK17_main_Y = "2")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK18_main_Y, fi_functors,
% 0.54/0.74    ( (sK18_main_Y = "2")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK19_main_X, fi_functors,
% 0.54/0.74    ( (sK19_main_X = "2")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK1_main_X, fi_functors,
% 0.54/0.74    ( (sK1_main_X = "2")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK20_main_Y!0, fi_functors,
% 0.54/0.74    ( (sK20_main_Y!0 = "2")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK21_main_X!0, fi_functors,
% 0.54/0.74    ( (sK21_main_X!0 = "1")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK22_main_Y!1, fi_functors,
% 0.54/0.74    ( (sK22_main_Y!1 = "1")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK23_main_X!1, fi_functors,
% 0.54/0.74    ( (sK23_main_X!1 = "1")
% 0.54/0.74    )
% 0.54/0.74  ).
% 0.54/0.74  
% 0.54/0.74  fof(sK24_main_Y!2, fi_functors,
% 0.54/0.74    ( (sK24_main_Y!2 = "1")
% 0.54/0.74    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK25_main_X!2, fi_functors,
% 0.54/0.75    ( (sK25_main_X!2 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK26_main_Y!3, fi_functors,
% 0.54/0.75    ( (sK26_main_Y!3 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK27_main_X!3, fi_functors,
% 0.54/0.75    ( (sK27_main_X!3 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK28_main_Y!4, fi_functors,
% 0.54/0.75    ( (sK28_main_Y!4 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK29_main_X!4, fi_functors,
% 0.54/0.75    ( (sK29_main_X!4 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK2_main_X!6, fi_functors,
% 0.54/0.75    ( (sK2_main_X!6("1") = "2")
% 0.54/0.75    & (sK2_main_X!6("2") = "2")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK30_main_Y!5, fi_functors,
% 0.54/0.75    ( (sK30_main_Y!5 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK31_main_X!5, fi_functors,
% 0.54/0.75    ( (sK31_main_X!5 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK32_main_Y!6, fi_functors,
% 0.54/0.75    ( (sK32_main_Y!6 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK33_main_X!6, fi_functors,
% 0.54/0.75    ( (sK33_main_X!6 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK34_main_Y!7, fi_functors,
% 0.54/0.75    ( (sK34_main_Y!7 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK35_main_Y, fi_functors,
% 0.54/0.75    ( (sK35_main_Y = "2")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK36_main_X, fi_functors,
% 0.54/0.75    ( (sK36_main_X = "2")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK37_main_Y!0, fi_functors,
% 0.54/0.75    ( (sK37_main_Y!0 = "2")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK38_main_X!0, fi_functors,
% 0.54/0.75    ( (sK38_main_X!0 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK39_main_Y!1, fi_functors,
% 0.54/0.75    ( (sK39_main_Y!1 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK3_main_Y!6, fi_functors,
% 0.54/0.75    ( (sK3_main_Y!6("1") = "1")
% 0.54/0.75    & (sK3_main_Y!6("2") = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK40_main_X!1, fi_functors,
% 0.54/0.75    ( (sK40_main_X!1 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK41_main_Y!2, fi_functors,
% 0.54/0.75    ( (sK41_main_Y!2 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK42_main_X!2, fi_functors,
% 0.54/0.75    ( (sK42_main_X!2 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK43_main_Y!3, fi_functors,
% 0.54/0.75    ( (sK43_main_Y!3 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK44_main_X!3, fi_functors,
% 0.54/0.75    ( (sK44_main_X!3 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK45_main_Y!4, fi_functors,
% 0.54/0.75    ( (sK45_main_Y!4 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK46_main_X!4, fi_functors,
% 0.54/0.75    ( (sK46_main_X!4 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK47_main_Y!5, fi_functors,
% 0.54/0.75    ( (sK47_main_Y!5 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK48_main_X!5, fi_functors,
% 0.54/0.75    ( (sK48_main_X!5 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK49_main_Y!6, fi_functors,
% 0.54/0.75    ( (sK49_main_Y!6 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK4_main_X!5, fi_functors,
% 0.54/0.75    ( (sK4_main_X!5("1") = "2")
% 0.54/0.75    & (sK4_main_X!5("2") = "2")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK50_main_X!6, fi_functors,
% 0.54/0.75    ( (sK50_main_X!6 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK51_main_Y!7, fi_functors,
% 0.54/0.75    ( (sK51_main_Y!7 = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK5_main_Y!5, fi_functors,
% 0.54/0.75    ( (sK5_main_Y!5("1") = "1")
% 0.54/0.75    & (sK5_main_Y!5("2") = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK6_main_X!4, fi_functors,
% 0.54/0.75    ( (sK6_main_X!4("1") = "2")
% 0.54/0.75    & (sK6_main_X!4("2") = "2")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK7_main_Y!4, fi_functors,
% 0.54/0.75    ( (sK7_main_Y!4("1") = "1")
% 0.54/0.75    & (sK7_main_Y!4("2") = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK8_main_X!3, fi_functors,
% 0.54/0.75    ( (sK8_main_X!3("1") = "2")
% 0.54/0.75    & (sK8_main_X!3("2") = "2")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  
% 0.54/0.75  fof(sK9_main_Y!3, fi_functors,
% 0.54/0.75    ( (sK9_main_Y!3("1") = "1")
% 0.54/0.75    & (sK9_main_Y!3("2") = "1")
% 0.54/0.75    )
% 0.54/0.75  ).
% 0.54/0.75  SZS output end FiniteModel for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.75  +++ END MODEL
% 0.54/0.75  +++ RESULT: CounterSatisfiable
% 0.54/0.75  SZS status CounterSatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------