TSTP Solution File: ITP008+2 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : ITP008+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 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 00:16:29 EDT 2022

% Result   : CounterSatisfiable 0.21s 0.41s
% Output   : FiniteModel 0.21s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

% Comments : 
%------------------------------------------------------------------------------
% domain size is 2
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2" ) ).

fof(ap,fi_functors,
    ( ap("1","1") = "1"
    & ap("1","2") = "2"
    & ap("2","1") = "2"
    & ap("2","2") = "2" ) ).

fof(arr,fi_functors,
    ( arr("1","1") = "1"
    & arr("1","2") = "2"
    & arr("2","1") = "1"
    & arr("2","2") = "2" ) ).

fof(bool,fi_functors,
    bool = "1" ).

fof(c_2Ebool_2EIN,fi_functors,
    ( c_2Ebool_2EIN("1") = "1"
    & c_2Ebool_2EIN("2") = "1" ) ).

fof(c_2Ebool_2E_21,fi_functors,
    ( c_2Ebool_2E_21("1") = "1"
    & c_2Ebool_2E_21("2") = "1" ) ).

fof(c_2Emin_2E_3D,fi_functors,
    ( c_2Emin_2E_3D("1") = "1"
    & c_2Emin_2E_3D("2") = "1" ) ).

fof(c_2Epair_2ECURRY,fi_functors,
    ( c_2Epair_2ECURRY("1","1","1") = "1"
    & c_2Epair_2ECURRY("1","1","2") = "1"
    & c_2Epair_2ECURRY("1","2","1") = "1"
    & c_2Epair_2ECURRY("1","2","2") = "1"
    & c_2Epair_2ECURRY("2","1","1") = "1"
    & c_2Epair_2ECURRY("2","1","2") = "1"
    & c_2Epair_2ECURRY("2","2","1") = "1"
    & c_2Epair_2ECURRY("2","2","2") = "1" ) ).

fof(c_2Epair_2E_2C,fi_functors,
    ( c_2Epair_2E_2C("1","1") = "1"
    & c_2Epair_2E_2C("1","2") = "1"
    & c_2Epair_2E_2C("2","1") = "1"
    & c_2Epair_2E_2C("2","2") = "1" ) ).

fof(c_2Erelation_2EWF,fi_functors,
    ( c_2Erelation_2EWF("1") = "1"
    & c_2Erelation_2EWF("2") = "1" ) ).

fof(c_2Eset__relation_2Estrict,fi_functors,
    ( c_2Eset__relation_2Estrict("1") = "1"
    & c_2Eset__relation_2Estrict("2") = "1" ) ).

fof(c_2Ewellorder_2Ewellfounded,fi_functors,
    ( c_2Ewellorder_2Ewellfounded("1") = "1"
    & c_2Ewellorder_2Ewellfounded("2") = "2" ) ).

fof(c_2Ewellorder_2Ewellorder__REP,fi_functors,
    ( c_2Ewellorder_2Ewellorder__REP("1") = "1"
    & c_2Ewellorder_2Ewellorder__REP("2") = "1" ) ).

fof(f1018,fi_functors,
    ( f1018("1","1") = "1"
    & f1018("1","2") = "1"
    & f1018("2","1") = "1"
    & f1018("2","2") = "1" ) ).

fof(f1020,fi_functors,
    ( f1020("1","1") = "2"
    & f1020("1","2") = "1"
    & f1020("2","1") = "1"
    & f1020("2","2") = "1" ) ).

fof(f31,fi_functors,
    ( f31("1","1","1") = "1"
    & f31("1","1","2") = "1"
    & f31("1","2","1") = "1"
    & f31("1","2","2") = "1"
    & f31("2","1","1") = "2"
    & f31("2","1","2") = "1"
    & f31("2","2","1") = "2"
    & f31("2","2","2") = "1" ) ).

fof(i,fi_functors,
    ( i("1") = "1"
    & i("2") = "1" ) ).

fof(ind,fi_functors,
    ind = "1" ).

fof(k,fi_functors,
    ( k("1","1") = "1"
    & k("1","2") = "2"
    & k("2","1") = "1"
    & k("2","2") = "2" ) ).

fof(mem,fi_predicates,
    ( ( mem("1","1")
    <=> $true )
    & ( mem("1","2")
    <=> $true )
    & ( mem("2","1")
    <=> $false )
    & ( mem("2","2")
    <=> $false ) ) ).

fof(ne,fi_predicates,
    ( ( ne("1")
    <=> $true )
    & ( ne("2")
    <=> $false ) ) ).

fof(p,fi_predicates,
    ( ( p("1")
    <=> $true )
    & ( p("2")
    <=> $false ) ) ).

fof(sK36_ax_all_p_X,fi_functors,
    ( sK36_ax_all_p_X("1","1") = "1"
    & sK36_ax_all_p_X("1","2") = "1"
    & sK36_ax_all_p_X("2","1") = "1"
    & sK36_ax_all_p_X("2","2") = "1" ) ).

fof(sK53_conj_thm_2Ewellorder_2EWIN__WF2_A_27a,fi_functors,
    sK53_conj_thm_2Ewellorder_2EWIN__WF2_A_27a = "1" ).

fof(sK54_conj_thm_2Ewellorder_2EWIN__WF2_V0w,fi_functors,
    sK54_conj_thm_2Ewellorder_2EWIN__WF2_V0w = "1" ).

fof(sK8_funcext_X,fi_functors,
    ( sK8_funcext_X("1","1","1") = "1"
    & sK8_funcext_X("1","1","2") = "1"
    & sK8_funcext_X("1","2","1") = "1"
    & sK8_funcext_X("1","2","2") = "2"
    & sK8_funcext_X("2","1","1") = "1"
    & sK8_funcext_X("2","1","2") = "1"
    & sK8_funcext_X("2","2","1") = "1"
    & sK8_funcext_X("2","2","2") = "2" ) ).

fof(ty_2Epair_2Eprod,fi_functors,
    ( ty_2Epair_2Eprod("1","1") = "1"
    & ty_2Epair_2Eprod("1","2") = "1"
    & ty_2Epair_2Eprod("2","1") = "1"
    & ty_2Epair_2Eprod("2","2") = "1" ) ).

fof(ty_2Ewellorder_2Ewellorder,fi_functors,
    ( ty_2Ewellorder_2Ewellorder("1") = "1"
    & ty_2Ewellorder_2Ewellorder("2") = "1" ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : ITP008+2 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.08/0.14  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun  2 22:25:15 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  Paradox, version 4.0, 2010-06-29.
% 0.13/0.35  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.13/0.37  Reading 'Axioms/ITP001/ITP001+2.ax' ... ('/export/starexec/sandbox2/benchmark/Axioms/ITP001/ITP001+2.ax') OK
% 0.13/0.37  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.41  +++ BEGIN MODEL
% 0.21/0.41  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.41  +++ END MODEL
% 0.21/0.41  +++ RESULT: CounterSatisfiable
% 0.21/0.41  SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------