TSTP Solution File: SWW865+1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW865+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n027.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  : 300s
% DateTime : Mon Jun 24 19:03:36 EDT 2024

% Result   : CounterSatisfiable 53.69s 8.10s
% Output   : FiniteModel 53.69s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
tff('declare_$i1',type,
    cbool__00: $i ).

tff('declare_$i2',type,
    cF__00: $i ).

tff('declare_$i3',type,
    c_27const_2eunify_2eTapp__tag_27__00: $i ).

tff('finite_domain_$i',axiom,
    ! [X: $i] :
      ( ( X = cbool__00 )
      | ( X = cF__00 )
      | ( X = c_27const_2eunify_2eTapp__tag_27__00 ) ) ).

tff('distinct_domain_$i',axiom,
    ( ( cbool__00 != cF__00 )
    & ( cbool__00 != c_27const_2eunify_2eTapp__tag_27__00 )
    & ( cF__00 != c_27const_2eunify_2eTapp__tag_27__00 ) ) ).

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

tff(cT__00_definition,axiom,
    cT__00 = cbool__00 ).

tff(declare_c_27const_2epred__set_2eEMPTY_27__00,type,
    c_27const_2epred__set_2eEMPTY_27__00: $i ).

tff(c_27const_2epred__set_2eEMPTY_27__00_definition,axiom,
    c_27const_2epred__set_2eEMPTY_27__00 = cbool__00 ).

tff(declare_c_27const_2elist_2eNIL_27__00,type,
    c_27const_2elist_2eNIL_27__00: $i ).

tff(c_27const_2elist_2eNIL_27__00_definition,axiom,
    c_27const_2elist_2eNIL_27__00 = cbool__00 ).

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 = cbool__00 ).

tff(declare_c_27type_2eunify_2eatom_27__00,type,
    c_27type_2eunify_2eatom_27__00: $i ).

tff(c_27type_2eunify_2eatom_27__00_definition,axiom,
    c_27type_2eunify_2eatom_27__00 = cbool__00 ).

tff(declare_c_27type_2einfer__t_2einfer__t_27__00,type,
    c_27type_2einfer__t_2einfer__t_27__00: $i ).

tff(c_27type_2einfer__t_2einfer__t_27__00_definition,axiom,
    c_27type_2einfer__t_2einfer__t_27__00 = cbool__00 ).

tff(declare_c_27type_2east_2etctor_27__00,type,
    c_27type_2east_2etctor_27__00: $i ).

tff(c_27type_2east_2etctor_27__00_definition,axiom,
    c_27type_2east_2etctor_27__00 = cF__00 ).

tff(declare_c_27const_2eunify_2eNull__tag_27__00,type,
    c_27const_2eunify_2eNull__tag_27__00: $i ).

tff(c_27const_2eunify_2eNull__tag_27__00_definition,axiom,
    c_27const_2eunify_2eNull__tag_27__00 = c_27const_2eunify_2eTapp__tag_27__00 ).

tff(declare_c_27const_2eunify_2et__vars_27__00,type,
    c_27const_2eunify_2et__vars_27__00: $i ).

tff(c_27const_2eunify_2et__vars_27__00_definition,axiom,
    c_27const_2eunify_2et__vars_27__00 = cF__00 ).

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

tff(function_s__02,axiom,
    ( ( s__02(cbool__00,cbool__00) = cbool__00 )
    & ( s__02(cbool__00,cF__00) = cF__00 )
    & ( s__02(cbool__00,c_27const_2eunify_2eTapp__tag_27__00) = cF__00 )
    & ( s__02(cF__00,cbool__00) = cbool__00 )
    & ( s__02(cF__00,cF__00) = cF__00 )
    & ( s__02(cF__00,c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( s__02(c_27const_2eunify_2eTapp__tag_27__00,cbool__00) = cbool__00 )
    & ( s__02(c_27const_2eunify_2eTapp__tag_27__00,cF__00) = cF__00 )
    & ( s__02(c_27const_2eunify_2eTapp__tag_27__00,c_27const_2eunify_2eTapp__tag_27__00) = cF__00 ) ) ).

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

tff(function_cfun__02,axiom,
    ( ( cfun__02(cbool__00,cbool__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( cfun__02(cbool__00,cF__00) = cbool__00 )
    & ( cfun__02(cbool__00,c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( cfun__02(cF__00,cbool__00) = cF__00 )
    & ( cfun__02(cF__00,cF__00) = cbool__00 )
    & ( cfun__02(cF__00,c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 )
    & ( cfun__02(c_27const_2eunify_2eTapp__tag_27__00,cbool__00) = cbool__00 )
    & ( cfun__02(c_27const_2eunify_2eTapp__tag_27__00,cF__00) = cbool__00 )
    & ( cfun__02(c_27const_2eunify_2eTapp__tag_27__00,c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 ) ) ).

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

tff(function_chapp__02,axiom,
    ( ( chapp__02(cbool__00,cbool__00) = cbool__00 )
    & ( chapp__02(cbool__00,cF__00) = cbool__00 )
    & ( chapp__02(cbool__00,c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 )
    & ( chapp__02(cF__00,cbool__00) = cbool__00 )
    & ( chapp__02(cF__00,cF__00) = cF__00 )
    & ( chapp__02(cF__00,c_27const_2eunify_2eTapp__tag_27__00) = cF__00 )
    & ( chapp__02(c_27const_2eunify_2eTapp__tag_27__00,cbool__00) = cbool__00 )
    & ( chapp__02(c_27const_2eunify_2eTapp__tag_27__00,cF__00) = cF__00 )
    & ( chapp__02(c_27const_2eunify_2eTapp__tag_27__00,c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 ) ) ).

tff(declare_c_27const_2epred__set_2eUNION_27__02,type,
    c_27const_2epred__set_2eUNION_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2epred__set_2eUNION_27__02,axiom,
    ( ( c_27const_2epred__set_2eUNION_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2epred__set_2eUNION_27__02(cbool__00,cF__00) = cF__00 )
    & ( c_27const_2epred__set_2eUNION_27__02(cbool__00,c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2epred__set_2eUNION_27__02(cF__00,cbool__00) = cF__00 )
    & ( c_27const_2epred__set_2eUNION_27__02(cF__00,cF__00) = cF__00 )
    & ( c_27const_2epred__set_2eUNION_27__02(cF__00,c_27const_2eunify_2eTapp__tag_27__00) = cF__00 )
    & ( c_27const_2epred__set_2eUNION_27__02(c_27const_2eunify_2eTapp__tag_27__00,cbool__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2epred__set_2eUNION_27__02(c_27const_2eunify_2eTapp__tag_27__00,cF__00) = cF__00 )
    & ( c_27const_2epred__set_2eUNION_27__02(c_27const_2eunify_2eTapp__tag_27__00,c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 ) ) ).

tff(declare_c_27const_2epred__set_2eINSERT_27__02,type,
    c_27const_2epred__set_2eINSERT_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2epred__set_2eINSERT_27__02,axiom,
    ( ( c_27const_2epred__set_2eINSERT_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2epred__set_2eINSERT_27__02(cbool__00,cF__00) = cF__00 )
    & ( c_27const_2epred__set_2eINSERT_27__02(cbool__00,c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2epred__set_2eINSERT_27__02(cF__00,cbool__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2epred__set_2eINSERT_27__02(cF__00,cF__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2epred__set_2eINSERT_27__02(cF__00,c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2epred__set_2eINSERT_27__02(c_27const_2eunify_2eTapp__tag_27__00,cbool__00) = cF__00 )
    & ( c_27const_2epred__set_2eINSERT_27__02(c_27const_2eunify_2eTapp__tag_27__00,cF__00) = cF__00 )
    & ( c_27const_2epred__set_2eINSERT_27__02(c_27const_2eunify_2eTapp__tag_27__00,c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 ) ) ).

tff(declare_c_27const_2epred__set_2eBIGUNION_27__01,type,
    c_27const_2epred__set_2eBIGUNION_27__01: $i > $i ).

tff(function_c_27const_2epred__set_2eBIGUNION_27__01,axiom,
    ( ( c_27const_2epred__set_2eBIGUNION_27__01(cbool__00) = cbool__00 )
    & ( c_27const_2epred__set_2eBIGUNION_27__01(cF__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2epred__set_2eBIGUNION_27__01(c_27const_2eunify_2eTapp__tag_27__00) = cF__00 ) ) ).

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(cbool__00) = cF__00 )
    & ( c_27type_2elist_2elist_27__01(cF__00) = cF__00 )
    & ( c_27type_2elist_2elist_27__01(c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 ) ) ).

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(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eMAP_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2elist_2eMAP_27__02(cbool__00,c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 )
    & ( c_27const_2elist_2eMAP_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eMAP_27__02(cF__00,cF__00) = cF__00 )
    & ( c_27const_2elist_2eMAP_27__02(cF__00,c_27const_2eunify_2eTapp__tag_27__00) = cF__00 )
    & ( c_27const_2elist_2eMAP_27__02(c_27const_2eunify_2eTapp__tag_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eMAP_27__02(c_27const_2eunify_2eTapp__tag_27__00,cF__00) = cF__00 )
    & ( c_27const_2elist_2eMAP_27__02(c_27const_2eunify_2eTapp__tag_27__00,c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 ) ) ).

tff(declare_c_27const_2elist_2eCONS_27__02,type,
    c_27const_2elist_2eCONS_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2elist_2eCONS_27__02,axiom,
    ( ( c_27const_2elist_2eCONS_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eCONS_27__02(cbool__00,cF__00) = cF__00 )
    & ( c_27const_2elist_2eCONS_27__02(cbool__00,c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2elist_2eCONS_27__02(cF__00,cbool__00) = cF__00 )
    & ( c_27const_2elist_2eCONS_27__02(cF__00,cF__00) = cF__00 )
    & ( c_27const_2elist_2eCONS_27__02(cF__00,c_27const_2eunify_2eTapp__tag_27__00) = cF__00 )
    & ( c_27const_2elist_2eCONS_27__02(c_27const_2eunify_2eTapp__tag_27__00,cbool__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2elist_2eCONS_27__02(c_27const_2eunify_2eTapp__tag_27__00,cF__00) = cF__00 )
    & ( c_27const_2elist_2eCONS_27__02(c_27const_2eunify_2eTapp__tag_27__00,c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 ) ) ).

tff(declare_c_27const_2elist_2eLIST__TO__SET_27__01,type,
    c_27const_2elist_2eLIST__TO__SET_27__01: $i > $i ).

tff(function_c_27const_2elist_2eLIST__TO__SET_27__01,axiom,
    ( ( c_27const_2elist_2eLIST__TO__SET_27__01(cbool__00) = cbool__00 )
    & ( c_27const_2elist_2eLIST__TO__SET_27__01(cF__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2elist_2eLIST__TO__SET_27__01(c_27const_2eunify_2eTapp__tag_27__00) = cF__00 ) ) ).

tff(declare_c_27type_2eterm_2eterm_27__01,type,
    c_27type_2eterm_2eterm_27__01: $i > $i ).

tff(function_c_27type_2eterm_2eterm_27__01,axiom,
    ( ( c_27type_2eterm_2eterm_27__01(cbool__00) = cbool__00 )
    & ( c_27type_2eterm_2eterm_27__01(cF__00) = cbool__00 )
    & ( c_27type_2eterm_2eterm_27__01(c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 ) ) ).

tff(declare_c_27const_2eterm_2eVar_27__01,type,
    c_27const_2eterm_2eVar_27__01: $i > $i ).

tff(function_c_27const_2eterm_2eVar_27__01,axiom,
    ( ( c_27const_2eterm_2eVar_27__01(cbool__00) = cF__00 )
    & ( c_27const_2eterm_2eVar_27__01(cF__00) = cbool__00 )
    & ( c_27const_2eterm_2eVar_27__01(c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 ) ) ).

tff(declare_c_27const_2eterm_2evars_27__01,type,
    c_27const_2eterm_2evars_27__01: $i > $i ).

tff(function_c_27const_2eterm_2evars_27__01,axiom,
    ( ( c_27const_2eterm_2evars_27__01(cbool__00) = cF__00 )
    & ( c_27const_2eterm_2evars_27__01(cF__00) = cbool__00 )
    & ( c_27const_2eterm_2evars_27__01(c_27const_2eunify_2eTapp__tag_27__00) = cF__00 ) ) ).

tff(declare_c_27const_2eterm_2ePair_27__02,type,
    c_27const_2eterm_2ePair_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2eterm_2ePair_27__02,axiom,
    ( ( c_27const_2eterm_2ePair_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2eterm_2ePair_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2eterm_2ePair_27__02(cbool__00,c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 )
    & ( c_27const_2eterm_2ePair_27__02(cF__00,cbool__00) = cbool__00 )
    & ( c_27const_2eterm_2ePair_27__02(cF__00,cF__00) = cF__00 )
    & ( c_27const_2eterm_2ePair_27__02(cF__00,c_27const_2eunify_2eTapp__tag_27__00) = cF__00 )
    & ( c_27const_2eterm_2ePair_27__02(c_27const_2eunify_2eTapp__tag_27__00,cbool__00) = cF__00 )
    & ( c_27const_2eterm_2ePair_27__02(c_27const_2eunify_2eTapp__tag_27__00,cF__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2eterm_2ePair_27__02(c_27const_2eunify_2eTapp__tag_27__00,c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 ) ) ).

tff(declare_c_27const_2eterm_2eConst_27__01,type,
    c_27const_2eterm_2eConst_27__01: $i > $i ).

tff(function_c_27const_2eterm_2eConst_27__01,axiom,
    ( ( c_27const_2eterm_2eConst_27__01(cbool__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2eterm_2eConst_27__01(cF__00) = cF__00 )
    & ( c_27const_2eterm_2eConst_27__01(c_27const_2eunify_2eTapp__tag_27__00) = cF__00 ) ) ).

tff(declare_c_27const_2einfer__t_2eInfer__Tvar__db_27__01,type,
    c_27const_2einfer__t_2eInfer__Tvar__db_27__01: $i > $i ).

tff(function_c_27const_2einfer__t_2eInfer__Tvar__db_27__01,axiom,
    ( ( c_27const_2einfer__t_2eInfer__Tvar__db_27__01(cbool__00) = cbool__00 )
    & ( c_27const_2einfer__t_2eInfer__Tvar__db_27__01(cF__00) = cbool__00 )
    & ( c_27const_2einfer__t_2eInfer__Tvar__db_27__01(c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 ) ) ).

tff(declare_c_27const_2eunify_2eencode__infer__t_27__01,type,
    c_27const_2eunify_2eencode__infer__t_27__01: $i > $i ).

tff(function_c_27const_2eunify_2eencode__infer__t_27__01,axiom,
    ( ( c_27const_2eunify_2eencode__infer__t_27__01(cbool__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2eunify_2eencode__infer__t_27__01(cF__00) = cbool__00 )
    & ( c_27const_2eunify_2eencode__infer__t_27__01(c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 ) ) ).

tff(declare_c_27const_2eunify_2eDB__tag_27__01,type,
    c_27const_2eunify_2eDB__tag_27__01: $i > $i ).

tff(function_c_27const_2eunify_2eDB__tag_27__01,axiom,
    ( ( c_27const_2eunify_2eDB__tag_27__01(cbool__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2eunify_2eDB__tag_27__01(cF__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2eunify_2eDB__tag_27__01(c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 ) ) ).

tff(declare_c_27const_2einfer__t_2eInfer__Tapp_27__02,type,
    c_27const_2einfer__t_2eInfer__Tapp_27__02: ( $i * $i ) > $i ).

tff(function_c_27const_2einfer__t_2eInfer__Tapp_27__02,axiom,
    ( ( c_27const_2einfer__t_2eInfer__Tapp_27__02(cbool__00,cbool__00) = cbool__00 )
    & ( c_27const_2einfer__t_2eInfer__Tapp_27__02(cbool__00,cF__00) = cbool__00 )
    & ( c_27const_2einfer__t_2eInfer__Tapp_27__02(cbool__00,c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 )
    & ( c_27const_2einfer__t_2eInfer__Tapp_27__02(cF__00,cbool__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2einfer__t_2eInfer__Tapp_27__02(cF__00,cF__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2einfer__t_2eInfer__Tapp_27__02(cF__00,c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2einfer__t_2eInfer__Tapp_27__02(c_27const_2eunify_2eTapp__tag_27__00,cbool__00) = cbool__00 )
    & ( c_27const_2einfer__t_2eInfer__Tapp_27__02(c_27const_2eunify_2eTapp__tag_27__00,cF__00) = cbool__00 )
    & ( c_27const_2einfer__t_2eInfer__Tapp_27__02(c_27const_2eunify_2eTapp__tag_27__00,c_27const_2eunify_2eTapp__tag_27__00) = cbool__00 ) ) ).

tff(declare_c_27const_2eunify_2eTC__tag_27__01,type,
    c_27const_2eunify_2eTC__tag_27__01: $i > $i ).

tff(function_c_27const_2eunify_2eTC__tag_27__01,axiom,
    ( ( c_27const_2eunify_2eTC__tag_27__01(cbool__00) = cF__00 )
    & ( c_27const_2eunify_2eTC__tag_27__01(cF__00) = cF__00 )
    & ( c_27const_2eunify_2eTC__tag_27__01(c_27const_2eunify_2eTapp__tag_27__00) = cF__00 ) ) ).

tff(declare_c_27const_2eunify_2eencode__infer__ts_27__01,type,
    c_27const_2eunify_2eencode__infer__ts_27__01: $i > $i ).

tff(function_c_27const_2eunify_2eencode__infer__ts_27__01,axiom,
    ( ( c_27const_2eunify_2eencode__infer__ts_27__01(cbool__00) = c_27const_2eunify_2eTapp__tag_27__00 )
    & ( c_27const_2eunify_2eencode__infer__ts_27__01(cF__00) = cbool__00 )
    & ( c_27const_2eunify_2eencode__infer__ts_27__01(c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 ) ) ).

tff(declare_c_27const_2einfer__t_2eInfer__Tuvar_27__01,type,
    c_27const_2einfer__t_2eInfer__Tuvar_27__01: $i > $i ).

tff(function_c_27const_2einfer__t_2eInfer__Tuvar_27__01,axiom,
    ( ( c_27const_2einfer__t_2eInfer__Tuvar_27__01(cbool__00) = cbool__00 )
    & ( c_27const_2einfer__t_2eInfer__Tuvar_27__01(cF__00) = cF__00 )
    & ( c_27const_2einfer__t_2eInfer__Tuvar_27__01(c_27const_2eunify_2eTapp__tag_27__00) = c_27const_2eunify_2eTapp__tag_27__00 ) ) ).

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

tff(predicate_p__01,axiom,
    ( p__01(cbool__00)
    & ~ p__01(cF__00)
    & p__01(c_27const_2eunify_2eTapp__tag_27__00) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW865+1 : TPTP v8.2.0. Released v7.3.0.
% 0.07/0.13  % Command    : run_vampire %s %d SAT
% 0.13/0.34  % Computer : n027.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    : 300
% 0.13/0.34  % DateTime   : Wed Jun 19 09:04:39 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.37  This is a FOF_CSA_RFO_SEQ problem
% 0.13/0.37  Running first-order model finding
% 0.13/0.37  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.46  % (18555)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (18560)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.23/0.46  % (18555)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (18559)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.23/0.46  % (18555)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (18557)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.23/0.46  % (18555)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (18556)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.23/0.46  % (18555)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (18558)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.23/0.46  % (18555)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (18561)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.23/0.46  % (18555)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46  % (18562)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.23/0.49  TRYING [1]
% 0.23/0.49  TRYING [2]
% 0.23/0.51  % (18560)Instruction limit reached!
% 0.23/0.51  % (18560)------------------------------
% 0.23/0.51  % (18560)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.51  % (18560)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.51  % (18560)Termination reason: Time limit
% 0.23/0.51  % (18560)Termination phase: Saturation
% 0.23/0.51  
% 0.23/0.51  % (18560)Memory used [KB]: 1571
% 0.23/0.51  % (18560)Time elapsed: 0.056 s
% 0.23/0.51  % (18560)Instructions burned: 105 (million)
% 1.11/0.53  % (18562)Instruction limit reached!
% 1.11/0.53  % (18562)------------------------------
% 1.11/0.53  % (18562)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.11/0.53  % (18562)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.11/0.53  % (18562)Termination reason: Time limit
% 1.11/0.53  % (18562)Termination phase: Saturation
% 1.11/0.53  
% 1.11/0.53  % (18562)Memory used [KB]: 2505
% 1.11/0.53  % (18562)Time elapsed: 0.068 s
% 1.11/0.53  % (18562)Instructions burned: 116 (million)
% 1.25/0.56  % (18561)Instruction limit reached!
% 1.25/0.56  % (18561)------------------------------
% 1.25/0.56  % (18561)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.25/0.56  % (18561)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.25/0.56  % (18561)Termination reason: Time limit
% 1.25/0.56  % (18561)Termination phase: Saturation
% 1.25/0.56  
% 1.25/0.56  % (18561)Memory used [KB]: 2310
% 1.25/0.56  % (18561)Time elapsed: 0.098 s
% 1.25/0.56  % (18561)Instructions burned: 146 (million)
% 1.25/0.58  % (18555)Running in auto input_syntax mode. Trying TPTP
% 1.25/0.58  % (18564)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 1.25/0.60  % (18555)Running in auto input_syntax mode. Trying TPTP
% 1.25/0.60  % (18565)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 1.25/0.63  % (18555)Running in auto input_syntax mode. Trying TPTP
% 1.25/0.63  % (18566)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.65/0.69  TRYING [3]
% 1.85/0.69  % (18565)Instruction limit reached!
% 1.85/0.69  % (18565)------------------------------
% 1.85/0.69  % (18565)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.85/0.69  % (18565)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.85/0.69  % (18565)Termination reason: Time limit
% 1.85/0.69  % (18565)Termination phase: Saturation
% 1.85/0.69  
% 1.85/0.69  % (18565)Memory used [KB]: 2732
% 1.85/0.69  % (18565)Time elapsed: 0.118 s
% 1.85/0.69  % (18565)Instructions burned: 176 (million)
% 1.85/0.74  % (18566)Instruction limit reached!
% 1.85/0.74  % (18566)------------------------------
% 1.85/0.74  % (18566)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.85/0.74  % (18566)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.85/0.74  % (18566)Termination reason: Time limit
% 1.85/0.74  % (18566)Termination phase: Saturation
% 1.85/0.74  
% 1.85/0.74  % (18566)Memory used [KB]: 1518
% 1.85/0.74  % (18566)Time elapsed: 0.120 s
% 1.85/0.74  % (18566)Instructions burned: 271 (million)
% 2.42/0.76  % (18555)Running in auto input_syntax mode. Trying TPTP
% 2.42/0.76  % (18567)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2996ds/900Mi)
% 2.42/0.76  % (18564)Instruction limit reached!
% 2.42/0.76  % (18564)------------------------------
% 2.42/0.76  % (18564)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.42/0.76  % (18564)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.42/0.76  % (18564)Termination reason: Time limit
% 2.42/0.76  % (18564)Termination phase: Saturation
% 2.42/0.76  
% 2.42/0.76  % (18564)Memory used [KB]: 2530
% 2.42/0.76  % (18564)Time elapsed: 0.209 s
% 2.42/0.76  % (18564)Instructions burned: 405 (million)
% 2.90/0.80  % (18555)Running in auto input_syntax mode. Trying TPTP
% 2.90/0.80  % (18568)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2996ds/7859Mi)
% 2.90/0.83  % (18555)Running in auto input_syntax mode. Trying TPTP
% 2.90/0.83  % (18569)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2996ds/2145Mi)
% 2.90/0.83  TRYING [1]
% 2.90/0.83  TRYING [2]
% 4.95/1.11  % (18567)Instruction limit reached!
% 4.95/1.11  % (18567)------------------------------
% 4.95/1.11  % (18567)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.95/1.11  % (18567)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.95/1.11  % (18567)Termination reason: Time limit
% 4.95/1.11  % (18567)Termination phase: Saturation
% 4.95/1.11  
% 4.95/1.11  % (18567)Memory used [KB]: 2319
% 4.95/1.11  % (18567)Time elapsed: 0.356 s
% 4.95/1.11  % (18567)Instructions burned: 902 (million)
% 5.33/1.13  TRYING [3]
% 5.57/1.18  % (18555)Running in auto input_syntax mode. Trying TPTP
% 5.57/1.18  % (18570)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2992ds/1187Mi)
% 7.99/1.62  % (18570)Instruction limit reached!
% 7.99/1.62  % (18570)------------------------------
% 7.99/1.62  % (18570)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.99/1.62  % (18570)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.99/1.62  % (18570)Termination reason: Time limit
% 7.99/1.62  % (18570)Termination phase: Saturation
% 7.99/1.62  
% 7.99/1.62  % (18570)Memory used [KB]: 2733
% 7.99/1.62  % (18570)Time elapsed: 0.440 s
% 7.99/1.62  % (18570)Instructions burned: 1188 (million)
% 9.17/1.68  % (18555)Running in auto input_syntax mode. Trying TPTP
% 9.17/1.68  % (18571)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2987ds/23580Mi)
% 9.17/1.70  TRYING [1]
% 9.17/1.71  TRYING [2]
% 9.65/1.75  % (18569)Instruction limit reached!
% 9.65/1.75  % (18569)------------------------------
% 9.65/1.75  % (18569)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.65/1.75  % (18569)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.65/1.75  % (18569)Termination reason: Time limit
% 9.65/1.75  % (18569)Termination phase: Saturation
% 9.65/1.75  
% 9.65/1.75  % (18569)Memory used [KB]: 4050
% 9.65/1.75  % (18569)Time elapsed: 0.922 s
% 9.65/1.75  % (18569)Instructions burned: 2145 (million)
% 9.81/1.80  TRYING [10]
% 9.81/1.81  % (18555)Running in auto input_syntax mode. Trying TPTP
% 9.81/1.81  % (18572)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2986ds/2892Mi)
% 10.29/1.86  TRYING [3]
% 17.31/2.90  % (18572)Instruction limit reached!
% 17.31/2.90  % (18572)------------------------------
% 17.31/2.90  % (18572)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.31/2.90  % (18572)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.31/2.90  % (18572)Termination reason: Time limit
% 17.31/2.90  % (18572)Termination phase: Finite model building constraint generation
% 17.31/2.90  
% 17.31/2.90  % (18572)Memory used [KB]: 1513
% 17.31/2.90  % (18572)Time elapsed: 1.088 s
% 17.31/2.90  % (18572)Instructions burned: 2892 (million)
% 18.20/2.99  % (18555)Running in auto input_syntax mode. Trying TPTP
% 18.20/2.99  % (18573)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2974ds/1693Mi)
% 22.81/3.64  % (18573)Instruction limit reached!
% 22.81/3.64  % (18573)------------------------------
% 22.81/3.64  % (18573)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 22.81/3.64  % (18573)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 22.81/3.64  % (18573)Termination reason: Time limit
% 22.81/3.64  % (18573)Termination phase: Saturation
% 22.81/3.64  
% 22.81/3.64  % (18573)Memory used [KB]: 4383
% 22.81/3.64  % (18573)Time elapsed: 0.654 s
% 22.81/3.64  % (18573)Instructions burned: 1695 (million)
% 22.81/3.71  % (18555)Running in auto input_syntax mode. Trying TPTP
% 22.81/3.71  % (18574)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2967ds/1735Mi)
% 28.59/4.47  % (18574)Instruction limit reached!
% 28.59/4.47  % (18574)------------------------------
% 28.59/4.47  % (18574)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 28.59/4.47  % (18574)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 28.59/4.47  % (18574)Termination reason: Time limit
% 28.59/4.47  % (18574)Termination phase: Saturation
% 28.59/4.47  
% 28.59/4.47  % (18574)Memory used [KB]: 10130
% 28.59/4.47  % (18574)Time elapsed: 0.767 s
% 28.59/4.47  % (18574)Instructions burned: 1735 (million)
% 29.11/4.54  % (18555)Running in auto input_syntax mode. Trying TPTP
% 29.11/4.54  % (18575)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2959ds/131798Mi)
% 29.11/4.58  TRYING [4]
% 29.67/4.64  % (18568)Instruction limit reached!
% 29.67/4.64  % (18568)------------------------------
% 29.67/4.64  % (18568)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.67/4.64  % (18568)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.67/4.64  % (18568)Termination reason: Time limit
% 29.67/4.64  % (18568)Termination phase: Finite model building SAT solving
% 29.67/4.64  
% 29.67/4.64  % (18568)Memory used [KB]: 3904
% 29.67/4.64  % (18568)Time elapsed: 3.842 s
% 29.67/4.64  % (18568)Instructions burned: 7860 (million)
% 29.99/4.71  % (18555)Running in auto input_syntax mode. Trying TPTP
% 29.99/4.71  % (18576)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2957ds/3451Mi)
% 39.31/6.02  % (18576)Instruction limit reached!
% 39.31/6.02  % (18576)------------------------------
% 39.31/6.02  % (18576)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 39.31/6.02  % (18576)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 39.31/6.02  % (18576)Termination reason: Time limit
% 39.31/6.02  % (18576)Termination phase: Finite model building constraint generation
% 39.31/6.02  
% 39.31/6.02  % (18576)Memory used [KB]: 1511
% 39.31/6.02  % (18576)Time elapsed: 1.313 s
% 39.31/6.02  % (18576)Instructions burned: 3451 (million)
% 40.03/6.12  % (18555)Running in auto input_syntax mode. Trying TPTP
% 40.03/6.12  % (18577)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2943ds/3978Mi)
% 50.27/7.57  % (18577)Instruction limit reached!
% 50.27/7.57  % (18577)------------------------------
% 50.27/7.57  % (18577)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 50.27/7.57  % (18577)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 50.27/7.57  % (18577)Termination reason: Time limit
% 50.27/7.57  % (18577)Termination phase: Saturation
% 50.27/7.57  
% 50.27/7.57  % (18577)Memory used [KB]: 3439
% 50.27/7.57  % (18577)Time elapsed: 1.480 s
% 50.27/7.57  % (18577)Instructions burned: 3978 (million)
% 50.58/7.64  % (18555)Running in auto input_syntax mode. Trying TPTP
% 50.58/7.64  % (18578)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2928ds/33091Mi)
% 53.69/8.10  Finite Model Found!
% 53.69/8.10  % SZS status CounterSatisfiable for theBenchmark
% 53.69/8.11  % (18571)First to succeed.
% 53.69/8.11  % (18571)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18555"
% 53.69/8.11  % (18555)Running in auto input_syntax mode. Trying TPTP
% 53.69/8.11  % SZS output start FiniteModel for theBenchmark
% See solution above
% 53.69/8.11  % (18571)------------------------------
% 53.69/8.11  % (18571)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 53.69/8.11  % (18571)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 53.69/8.11  % (18571)Termination reason: Satisfiable
% 53.69/8.11  
% 53.69/8.11  % (18571)Memory used [KB]: 3344
% 53.69/8.11  % (18571)Time elapsed: 6.429 s
% 53.69/8.11  % (18571)Instructions burned: 13173 (million)
% 53.69/8.11  % (18571)------------------------------
% 53.69/8.11  % (18571)------------------------------
% 53.69/8.11  % (18555)Success in time 7.706 s
%------------------------------------------------------------------------------