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Vampire-SAT---5.0.1.CSA-FMo.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW886+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:45:07 PM UTC 2026

% Result   : CounterSatisfiable 7.77s 1.44s
% Output   : FiniteModel 7.77s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tff('declare_$i1',type,
    'fmb_$i_1': $i ).

tff('declare_$i2',type,
    'fmb_$i_2': $i ).

tff('finite_domain_$i',axiom,
    ! [X: $i] :
      ( ( X = 'fmb_$i_1' )
      | ( X = 'fmb_$i_2' ) ) ).

tff('distinct_domain_$i',axiom,
    'fmb_$i_1' != 'fmb_$i_2' ).

tff(declare_cbool__00,type,
    cbool__00: $i ).

tff(cbool__00_definition,axiom,
    cbool__00 = 'fmb_$i_1' ).

tff(declare_cT__00,type,
    cT__00: $i ).

tff(cT__00_definition,axiom,
    cT__00 = 'fmb_$i_1' ).

tff(declare_cF__00,type,
    cF__00: $i ).

tff(cF__00_definition,axiom,
    cF__00 = 'fmb_$i_2' ).

tff(declare_c_27const_2eoption_2eNONE_27__00,type,
    c_27const_2eoption_2eNONE_27__00: $i ).

tff(c_27const_2eoption_2eNONE_27__00_definition,axiom,
    c_27const_2eoption_2eNONE_27__00 = 'fmb_$i_1' ).

tff(declare_c_27const_2eoption_2eSOME_27__00,type,
    c_27const_2eoption_2eSOME_27__00: $i ).

tff(c_27const_2eoption_2eSOME_27__00_definition,axiom,
    c_27const_2eoption_2eSOME_27__00 = 'fmb_$i_1' ).

tff(declare_c_27type_2econLang_2eprompt_27__00,type,
    c_27type_2econLang_2eprompt_27__00: $i ).

tff(c_27type_2econLang_2eprompt_27__00_definition,axiom,
    c_27type_2econLang_2eprompt_27__00 = 'fmb_$i_2' ).

tff(declare_c_27type_2econLang_2edec_27__00,type,
    c_27type_2econLang_2edec_27__00: $i ).

tff(c_27type_2econLang_2edec_27__00_definition,axiom,
    c_27type_2econLang_2edec_27__00 = 'fmb_$i_1' ).

tff(declare_c_27type_2econSem_2ev_27__00,type,
    c_27type_2econSem_2ev_27__00: $i ).

tff(c_27type_2econSem_2ev_27__00_definition,axiom,
    c_27type_2econSem_2ev_27__00 = 'fmb_$i_2' ).

tff(declare_c_27type_2enum_2enum_27__00,type,
    c_27type_2enum_2enum_27__00: $i ).

tff(c_27type_2enum_2enum_27__00_definition,axiom,
    c_27type_2enum_2enum_27__00 = 'fmb_$i_1' ).

tff(declare_c_27type_2econSem_2eenvironment_27__00,type,
    c_27type_2econSem_2eenvironment_27__00: $i ).

tff(c_27type_2econSem_2eenvironment_27__00_definition,axiom,
    c_27type_2econSem_2eenvironment_27__00 = 'fmb_$i_2' ).

tff(declare_c_27type_2effi_2eio__event_27__00,type,
    c_27type_2effi_2eio__event_27__00: $i ).

tff(c_27type_2effi_2eio__event_27__00_definition,axiom,
    c_27type_2effi_2eio__event_27__00 = 'fmb_$i_2' ).

tff(declare_c_27type_2effi_2efinal__event_27__00,type,
    c_27type_2effi_2efinal__event_27__00: $i ).

tff(c_27type_2effi_2efinal__event_27__00_definition,axiom,
    c_27type_2effi_2efinal__event_27__00 = 'fmb_$i_1' ).

tff(declare_s__02,type,
    s__02: ( $i * $i ) > $i ).

tff(function_s__02,axiom,
    ( ( s__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( s__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( s__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( s__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_cfun__02,type,
    cfun__02: ( $i * $i ) > $i ).

tff(function_cfun__02,axiom,
    ( ( cfun__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
    & ( cfun__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( cfun__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( cfun__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_chapp__02,type,
    chapp__02: ( $i * $i ) > $i ).

tff(function_chapp__02,axiom,
    ( ( chapp__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( chapp__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( chapp__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( chapp__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2emarker_2eAbbrev_27__01,type,
    c_27const_2emarker_2eAbbrev_27__01: $i > $i ).

tff(function_c_27const_2emarker_2eAbbrev_27__01,axiom,
    ( ( c_27const_2emarker_2eAbbrev_27__01('fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2emarker_2eAbbrev_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27type_2epair_2eprod_27__02,type,
    c_27type_2epair_2eprod_27__02: ( $i * $i ) > $i ).

tff(function_c_27type_2epair_2eprod_27__02,axiom,
    ( ( c_27type_2epair_2eprod_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27type_2epair_2eprod_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( c_27type_2epair_2eprod_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27type_2epair_2eprod_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2epair_2e_2c_27__02,type,
    c_27const_2epair_2e_2c_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2epair_2e_2c_27__02,axiom,
    ( ( c_27const_2epair_2e_2c_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2epair_2e_2c_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( c_27const_2epair_2e_2c_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2epair_2e_2c_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2epair_2eFST_27__01,type,
    c_27const_2epair_2eFST_27__01: $i > $i ).

tff(function_c_27const_2epair_2eFST_27__01,axiom,
    ( ( c_27const_2epair_2eFST_27__01('fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2epair_2eFST_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2epair_2epair__CASE_27__02,type,
    c_27const_2epair_2epair__CASE_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2epair_2epair__CASE_27__02,axiom,
    ( ( c_27const_2epair_2epair__CASE_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2epair_2epair__CASE_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( c_27const_2epair_2epair__CASE_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2epair_2epair__CASE_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27type_2eoption_2eoption_27__01,type,
    c_27type_2eoption_2eoption_27__01: $i > $i ).

tff(function_c_27type_2eoption_2eoption_27__01,axiom,
    ( ( c_27type_2eoption_2eoption_27__01('fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27type_2eoption_2eoption_27__01('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_c_27const_2eoption_2eoption__CASE_27__03,type,
    c_27const_2eoption_2eoption__CASE_27__03: ( $i * $i * $i ) > $i ).

tff(function_c_27const_2eoption_2eoption__CASE_27__03,axiom,
    ( ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
    & ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2eoption_2eoption__CASE_27__03('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27type_2elist_2elist_27__01,type,
    c_27type_2elist_2elist_27__01: $i > $i ).

tff(function_c_27type_2elist_2elist_27__01,axiom,
    ( ( c_27type_2elist_2elist_27__01('fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27type_2elist_2elist_27__01('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_c_27const_2econLang_2ePrompt_27__01,type,
    c_27const_2econLang_2ePrompt_27__01: $i > $i ).

tff(function_c_27const_2econLang_2ePrompt_27__01,axiom,
    ( ( c_27const_2econLang_2ePrompt_27__01('fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2econLang_2ePrompt_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27type_2econSem_2estate_27__01,type,
    c_27type_2econSem_2estate_27__01: $i > $i ).

tff(function_c_27type_2econSem_2estate_27__01,axiom,
    ( ( c_27type_2econSem_2estate_27__01('fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27type_2econSem_2estate_27__01('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_c_27type_2esemanticPrimitives_2eerror__result_27__01,type,
    c_27type_2esemanticPrimitives_2eerror__result_27__01: $i > $i ).

tff(function_c_27type_2esemanticPrimitives_2eerror__result_27__01,axiom,
    ( ( c_27type_2esemanticPrimitives_2eerror__result_27__01('fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27type_2esemanticPrimitives_2eerror__result_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2elist_2eMAP_27__02,type,
    c_27const_2elist_2eMAP_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2elist_2eMAP_27__02,axiom,
    ( ( c_27const_2elist_2eMAP_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2elist_2eMAP_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( c_27const_2elist_2eMAP_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2elist_2eMAP_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2ecombin_2eK_27__01,type,
    c_27const_2ecombin_2eK_27__01: $i > $i ).

tff(function_c_27const_2ecombin_2eK_27__01,axiom,
    ( ( c_27const_2ecombin_2eK_27__01('fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2ecombin_2eK_27__01('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_c_27const_2econLang_2enum__defs_27__01,type,
    c_27const_2econLang_2enum__defs_27__01: $i > $i ).

tff(function_c_27const_2econLang_2enum__defs_27__01,axiom,
    ( ( c_27const_2econLang_2enum__defs_27__01('fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2econLang_2enum__defs_27__01('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_c_27const_2elist_2eLENGTH_27__01,type,
    c_27const_2elist_2eLENGTH_27__01: $i > $i ).

tff(function_c_27const_2elist_2eLENGTH_27__01,axiom,
    ( ( c_27const_2elist_2eLENGTH_27__01('fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2elist_2eLENGTH_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2earithmetic_2e_2d_27__02,type,
    c_27const_2earithmetic_2e_2d_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2earithmetic_2e_2d_27__02,axiom,
    ( ( c_27const_2earithmetic_2e_2d_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2earithmetic_2e_2d_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( c_27const_2earithmetic_2e_2d_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2earithmetic_2e_2d_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2elist_2eGENLIST_27__02,type,
    c_27const_2elist_2eGENLIST_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2elist_2eGENLIST_27__02,axiom,
    ( ( c_27const_2elist_2eGENLIST_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2elist_2eGENLIST_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( c_27const_2elist_2eGENLIST_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2elist_2eGENLIST_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2elist_2eAPPEND_27__02,type,
    c_27const_2elist_2eAPPEND_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2elist_2eAPPEND_27__02,axiom,
    ( ( c_27const_2elist_2eAPPEND_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2elist_2eAPPEND_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( c_27const_2elist_2eAPPEND_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2elist_2eAPPEND_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_c_27const_2econSem_2eevaluate__prompt_27__03,type,
    c_27const_2econSem_2eevaluate__prompt_27__03: ( $i * $i * $i ) > $i ).

tff(function_c_27const_2econSem_2eevaluate__prompt_27__03,axiom,
    ( ( c_27const_2econSem_2eevaluate__prompt_27__03('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2eevaluate__prompt_27__03('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2eevaluate__prompt_27__03('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2eevaluate__prompt_27__03('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2eevaluate__prompt_27__03('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2eevaluate__prompt_27__03('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( c_27const_2econSem_2eevaluate__prompt_27__03('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2eevaluate__prompt_27__03('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2econSem_2eevaluate__decs_27__03,type,
    c_27const_2econSem_2eevaluate__decs_27__03: ( $i * $i * $i ) > $i ).

tff(function_c_27const_2econSem_2eevaluate__decs_27__03,axiom,
    ( ( c_27const_2econSem_2eevaluate__decs_27__03('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2econSem_2eevaluate__decs_27__03('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
    & ( c_27const_2econSem_2eevaluate__decs_27__03('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2eevaluate__decs_27__03('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
    & ( c_27const_2econSem_2eevaluate__decs_27__03('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2eevaluate__decs_27__03('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2eevaluate__decs_27__03('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2eevaluate__decs_27__03('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_c_27type_2effi_2effi__state_27__01,type,
    c_27type_2effi_2effi__state_27__01: $i > $i ).

tff(function_c_27type_2effi_2effi__state_27__01,axiom,
    ( ( c_27type_2effi_2effi__state_27__01('fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27type_2effi_2effi__state_27__01('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_c_27const_2econSem_2estate__ffi_27__01,type,
    c_27const_2econSem_2estate__ffi_27__01: $i > $i ).

tff(function_c_27const_2econSem_2estate__ffi_27__01,axiom,
    ( ( c_27const_2econSem_2estate__ffi_27__01('fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2estate__ffi_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2effi_2effi__state__io__events_27__01,type,
    c_27const_2effi_2effi__state__io__events_27__01: $i > $i ).

tff(function_c_27const_2effi_2effi__state__io__events_27__01,axiom,
    ( ( c_27const_2effi_2effi__state__io__events_27__01('fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2effi_2effi__state__io__events_27__01('fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_c_27const_2econSem_2estate__clock_27__01,type,
    c_27const_2econSem_2estate__clock_27__01: $i > $i ).

tff(function_c_27const_2econSem_2estate__clock_27__01,axiom,
    ( ( c_27const_2econSem_2estate__clock_27__01('fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2econSem_2estate__clock_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2earithmetic_2e_2b_27__02,type,
    c_27const_2earithmetic_2e_2b_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2earithmetic_2e_2b_27__02,axiom,
    ( ( c_27const_2earithmetic_2e_2b_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2earithmetic_2e_2b_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( c_27const_2earithmetic_2e_2b_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2earithmetic_2e_2b_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2econSem_2estate__clock__fupd_27__02,type,
    c_27const_2econSem_2estate__clock__fupd_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2econSem_2estate__clock__fupd_27__02,axiom,
    ( ( c_27const_2econSem_2estate__clock__fupd_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2estate__clock__fupd_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2estate__clock__fupd_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2econSem_2estate__clock__fupd_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_c_27const_2elist_2eisPREFIX_27__02,type,
    c_27const_2elist_2eisPREFIX_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2elist_2eisPREFIX_27__02,axiom,
    ( ( c_27const_2elist_2eisPREFIX_27__02('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2elist_2eisPREFIX_27__02('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
    & ( c_27const_2elist_2eisPREFIX_27__02('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2elist_2eisPREFIX_27__02('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).

tff(declare_c_27const_2effi_2effi__state__final__event_27__01,type,
    c_27const_2effi_2effi__state__final__event_27__01: $i > $i ).

tff(function_c_27const_2effi_2effi__state__final__event_27__01,axiom,
    ( ( c_27const_2effi_2effi__state__final__event_27__01('fmb_$i_1') = 'fmb_$i_1' )
    & ( c_27const_2effi_2effi__state__final__event_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_c_27const_2eoption_2eIS__SOME_27__01,type,
    c_27const_2eoption_2eIS__SOME_27__01: $i > $i ).

tff(function_c_27const_2eoption_2eIS__SOME_27__01,axiom,
    ( ( c_27const_2eoption_2eIS__SOME_27__01('fmb_$i_1') = 'fmb_$i_2' )
    & ( c_27const_2eoption_2eIS__SOME_27__01('fmb_$i_2') = 'fmb_$i_2' ) ) ).

tff(declare_p__01,type,
    p__01: $i > $o ).

tff(predicate_p__01,axiom,
    ( p__01('fmb_$i_1')
    & ~ p__01('fmb_$i_2') ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW886+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n014.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 14:33:16 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.77/1.44  % (1821030)Will run a generic schedule for satisfiability detection.
% 7.77/1.44  % (1821041)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1713580641:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.77/1.44  % (1821036)% WARNING: option uhcvi not known.
% 7.77/1.44  % (1821035)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3897029989_2999 on theBenchmark for (2999ds/0Mi)
% 7.77/1.44  % (1821037)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3968640795:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.77/1.44  % (1821036)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1730366117:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.77/1.44  % (1821038)dis+10_1_sil=32000:sp=arity:random_seed=2864463567:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.77/1.44  % (1821039)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2077565940:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.77/1.44  % (1821040)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1750311460:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.77/1.44  % (1821041)Instruction limit reached! 
% 7.77/1.44  % (1821041)------------------------------
% 7.77/1.44  % (1821041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821041)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821041)Termination reason: Instruction limit
% 7.77/1.44  % (1821041)Termination phase: Saturation
% 7.77/1.44  % (1821041)Time elapsed: 0.042 s
% 7.77/1.44  % (1821041)Peak memory usage: 12 MB
% 7.77/1.44  % (1821041)Instructions burned: 162 (million)
% 7.77/1.44  % (1821049)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=80280835:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.77/1.44  % (1821038)Instruction limit reached! 
% 7.77/1.44  % (1821038)------------------------------
% 7.77/1.44  % (1821038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821038)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821038)Termination reason: Instruction limit
% 7.77/1.44  % (1821038)Termination phase: Saturation
% 7.77/1.44  % (1821038)Time elapsed: 0.055 s
% 7.77/1.44  % (1821038)Peak memory usage: 13 MB
% 7.77/1.44  % (1821038)Instructions burned: 103 (million)
% 7.77/1.44  % (1821039)Instruction limit reached! 
% 7.77/1.44  % (1821039)------------------------------
% 7.77/1.44  % (1821039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821039)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821039)Termination reason: Instruction limit
% 7.77/1.44  % (1821039)Termination phase: Saturation
% 7.77/1.44  % (1821039)Time elapsed: 0.058 s
% 7.77/1.44  % (1821039)Peak memory usage: 13 MB
% 7.77/1.44  % (1821039)Instructions burned: 116 (million)
% 7.77/1.44  % (1821040)Instruction limit reached! 
% 7.77/1.44  % (1821040)------------------------------
% 7.77/1.44  % (1821040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821040)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821040)Termination reason: Instruction limit
% 7.77/1.44  % (1821040)Termination phase: Saturation
% 7.77/1.44  % (1821040)Time elapsed: 0.067 s
% 7.77/1.44  % (1821040)Peak memory usage: 13 MB
% 7.77/1.44  % (1821040)Instructions burned: 132 (million)
% 7.77/1.44  % (1821051)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3684455384:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.77/1.44  % (1821052)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3358206014:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.77/1.44  % (1821053)ott-21_1_sil=16000:fs=off:random_seed=2348464992:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.77/1.44  % (1821051)Instruction limit reached! 
% 7.77/1.44  % (1821051)------------------------------
% 7.77/1.44  % (1821051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821051)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821051)Termination reason: Instruction limit
% 7.77/1.44  % (1821051)Termination phase: Saturation
% 7.77/1.44  % (1821051)Time elapsed: 0.072 s
% 7.77/1.44  % (1821051)Peak memory usage: 13 MB
% 7.77/1.44  % (1821051)Instructions burned: 131 (million)
% 7.77/1.44  % (1821057)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=917239732:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.77/1.44  % (1821053)Instruction limit reached! 
% 7.77/1.44  % (1821053)------------------------------
% 7.77/1.44  % (1821053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821053)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821053)Termination reason: Instruction limit
% 7.77/1.44  % (1821053)Termination phase: Saturation
% 7.77/1.44  % (1821053)Time elapsed: 0.084 s
% 7.77/1.44  % (1821053)Peak memory usage: 12 MB
% 7.77/1.44  % (1821053)Instructions burned: 180 (million)
% 7.77/1.44  % (1821059)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=240445481:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.77/1.44  % (1821049)Instruction limit reached! 
% 7.77/1.44  % (1821049)------------------------------
% 7.77/1.44  % (1821049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821049)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821049)Termination reason: Instruction limit
% 7.77/1.44  % (1821049)Termination phase: Finite model building preprocessing
% 7.77/1.44  % (1821049)Time elapsed: 0.204 s
% 7.77/1.44  % (1821049)Peak memory usage: 12 MB
% 7.77/1.44  % (1821049)Instructions burned: 717 (million)
% 7.77/1.44  % (1821061)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1232943477:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.77/1.44  % (1821052)Instruction limit reached! 
% 7.77/1.44  % (1821052)------------------------------
% 7.77/1.44  % (1821052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821052)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821052)Termination reason: Instruction limit
% 7.77/1.44  % (1821052)Termination phase: Saturation
% 7.77/1.44  % (1821052)Time elapsed: 0.335 s
% 7.77/1.44  % (1821052)Peak memory usage: 15 MB
% 7.77/1.44  % (1821052)Instructions burned: 685 (million)
% 7.77/1.44  % (1821057)Instruction limit reached! 
% 7.77/1.44  % (1821057)------------------------------
% 7.77/1.44  % (1821057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821057)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821057)Termination reason: Instruction limit
% 7.77/1.44  % (1821057)Termination phase: Saturation
% 7.77/1.44  % (1821057)Time elapsed: 0.257 s
% 7.77/1.44  % (1821057)Peak memory usage: 15 MB
% 7.77/1.44  % (1821057)Instructions burned: 479 (million)
% 7.77/1.44  % (1821063)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1692944484:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.77/1.44  % (1821064)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1119782934:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 7.77/1.44  % (1821061)Instruction limit reached! 
% 7.77/1.44  % (1821061)------------------------------
% 7.77/1.44  % (1821061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821061)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821061)Termination reason: Instruction limit
% 7.77/1.44  % (1821061)Termination phase: Saturation
% 7.77/1.44  % (1821061)Time elapsed: 0.314 s
% 7.77/1.44  % (1821061)Peak memory usage: 22 MB
% 7.77/1.44  % (1821061)Instructions burned: 1180 (million)
% 7.77/1.44  % (1821067)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=302810726:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 7.77/1.44  % (1821059)Instruction limit reached! 
% 7.77/1.44  % (1821059)------------------------------
% 7.77/1.44  % (1821059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821059)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821059)Termination reason: Instruction limit
% 7.77/1.44  % (1821059)Termination phase: Finite model building preprocessing
% 7.77/1.44  % (1821059)Time elapsed: 0.470 s
% 7.77/1.44  % (1821059)Peak memory usage: 12 MB
% 7.77/1.44  % (1821059)Instructions burned: 865 (million)
% 7.77/1.44  % (1821069)fmb+10_1_sil=64000:random_seed=3522131839:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.77/1.44  % (1821064)Instruction limit reached! 
% 7.77/1.44  % (1821064)------------------------------
% 7.77/1.44  % (1821064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821064)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821064)Termination reason: Instruction limit
% 7.77/1.44  % (1821064)Termination phase: Saturation
% 7.77/1.44  % (1821064)Time elapsed: 0.374 s
% 7.77/1.44  % (1821064)Peak memory usage: 17 MB
% 7.77/1.44  % (1821064)Instructions burned: 693 (million)
% 7.77/1.44  % (1821071)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2405577613:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.77/1.44  % (1821067)Instruction limit reached! 
% 7.77/1.44  % (1821067)------------------------------
% 7.77/1.44  % (1821067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821067)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821067)Termination reason: Instruction limit
% 7.77/1.44  % (1821067)Termination phase: Saturation
% 7.77/1.44  % (1821067)Time elapsed: 0.251 s
% 7.77/1.44  % (1821067)Peak memory usage: 17 MB
% 7.77/1.44  % (1821067)Instructions burned: 879 (million)
% 7.77/1.44  % (1821073)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1201317032:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 7.77/1.44  % (1821063)Instruction limit reached! 
% 7.77/1.44  % (1821063)------------------------------
% 7.77/1.44  % (1821063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821063)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821063)Termination reason: Instruction limit
% 7.77/1.44  % (1821063)Termination phase: Finite model building preprocessing
% 7.77/1.44  % (1821063)Time elapsed: 0.478 s
% 7.77/1.44  % (1821063)Peak memory usage: 12 MB
% 7.77/1.44  % (1821063)Instructions burned: 889 (million)
% 7.77/1.44  % (1821075)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3705633625:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 7.77/1.44  % TRYING [1]
% 7.77/1.44  % TRYING [2]
% 7.77/1.44  % (1821073)Instruction limit reached! 
% 7.77/1.44  % (1821073)------------------------------
% 7.77/1.44  % (1821073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821073)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821073)Termination reason: Instruction limit
% 7.77/1.44  % (1821073)Termination phase: Finite model building preprocessing
% 7.77/1.44  % (1821073)Time elapsed: 0.264 s
% 7.77/1.44  % (1821073)Peak memory usage: 12 MB
% 7.77/1.44  % (1821073)Instructions burned: 922 (million)
% 7.77/1.44  % (1821077)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3887348356:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 7.77/1.44  % Finite Model Found!
% 7.77/1.44  % SZS status CounterSatisfiable for theBenchmark
% 7.77/1.44  % (1821069) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1821030-1821069"...
% 7.77/1.44  % (1821069)...printing done.
% 7.77/1.44  % SZS output start FiniteModel for theBenchmark
% See solution above
% 7.77/1.44  % (1821069)------------------------------
% 7.77/1.44  % (1821069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/1.44  % (1821069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/1.44  % (1821069)CaDiCaL version: 2.1.3
% 7.77/1.44  % (1821069)Termination reason: Satisfiable
% 7.77/1.44  % (1821069)Time elapsed: 0.491 s
% 7.77/1.44  % (1821069)Peak memory usage: 18 MB
% 7.77/1.44  % (1821069)Instructions burned: 976 (million)
% 7.77/1.44  % (1821030)Success in time 1.216 s
% 7.77/1.44  % Vampire exiting
%------------------------------------------------------------------------------