TSTP Solution File: SWW905+1 by iProver-SAT---3.9
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%------------------------------------------------------------------------------
% File : iProver-SAT---3.9
% Problem : SWW905+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d SAT
% Computer : n006.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 : Fri May 3 03:28:22 EDT 2024
% Result : CounterSatisfiable 86.59s 11.72s
% Output : Model 86.59s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
%------ Positive definition of equality_sorted
fof(lit_def,axiom,
! [X0_12,X0,X1] :
( equality_sorted(X0_12,X0,X1)
<=> ( ( X0_12 = $i
& ( X0 != iProver_Domain_i_1
| X1 != iProver_Domain_i_2 )
& ( X0 != iProver_Domain_i_2
| X1 != iProver_Domain_i_1 ) )
| ( X0_12 = $i
& X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1 )
| ( X0_12 = $i
& X0 = iProver_Domain_i_2
& X1 != iProver_Domain_i_1 )
| ( X0_12 = $i
& X1 = iProver_Domain_i_2
& X0 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of p__01
fof(lit_def_001,axiom,
! [X0] :
( p__01(X0)
<=> ( X0 != iProver_Domain_i_1
| X0 = iProver_Domain_i_2 ) ) ).
%------ Positive definition of sP12
fof(lit_def_002,axiom,
! [X0] :
( sP12(X0)
<=> $false ) ).
%------ Positive definition of sP11
fof(lit_def_003,axiom,
! [X0] :
( sP11(X0)
<=> $false ) ).
%------ Positive definition of sP10
fof(lit_def_004,axiom,
! [X0] :
( sP10(X0)
<=> $false ) ).
%------ Positive definition of sP9
fof(lit_def_005,axiom,
! [X0] :
( sP9(X0)
<=> $false ) ).
%------ Positive definition of sP8
fof(lit_def_006,axiom,
! [X0] :
( sP8(X0)
<=> $false ) ).
%------ Positive definition of sP7
fof(lit_def_007,axiom,
! [X0] :
( sP7(X0)
<=> $false ) ).
%------ Positive definition of sP6
fof(lit_def_008,axiom,
! [X0] :
( sP6(X0)
<=> $false ) ).
%------ Positive definition of sP5
fof(lit_def_009,axiom,
! [X0] :
( sP5(X0)
<=> $false ) ).
%------ Positive definition of sP4
fof(lit_def_010,axiom,
! [X0] :
( sP4(X0)
<=> $false ) ).
%------ Positive definition of sP3
fof(lit_def_011,axiom,
! [X0] :
( sP3(X0)
<=> $false ) ).
%------ Positive definition of sP2
fof(lit_def_012,axiom,
! [X0] :
( sP2(X0)
<=> $false ) ).
%------ Positive definition of sP1
fof(lit_def_013,axiom,
! [X0] :
( sP1(X0)
<=> $false ) ).
%------ Positive definition of sP0
fof(lit_def_014,axiom,
! [X0] :
( sP0(X0)
<=> $false ) ).
%------ Positive definition of sP13
fof(lit_def_015,axiom,
! [X0,X1,X2] :
( sP13(X0,X1,X2)
<=> $false ) ).
%------ Positive definition of iProver_Flat_cbool__00
fof(lit_def_016,axiom,
! [X0] :
( iProver_Flat_cbool__00(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_cT__00
fof(lit_def_017,axiom,
! [X0] :
( iProver_Flat_cT__00(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_s__02
fof(lit_def_018,axiom,
! [X0,X1,X2] :
( iProver_Flat_s__02(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& ( X1 != iProver_Domain_i_1
| X2 != iProver_Domain_i_1 ) ) ) ) ).
%------ Positive definition of iProver_Flat_cF__00
fof(lit_def_019,axiom,
! [X0] :
( iProver_Flat_cF__00(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_cfun__02
fof(lit_def_020,axiom,
! [X0,X1,X2] :
( iProver_Flat_cfun__02(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& ( X1 != iProver_Domain_i_1
| X2 != iProver_Domain_i_1 ) ) ) ) ).
%------ Positive definition of iProver_Flat_sK14
fof(lit_def_021,axiom,
! [X0,X1,X2,X3,X4] :
( iProver_Flat_sK14(X0,X1,X2,X3,X4)
<=> ( ( X0 = iProver_Domain_i_1
& ( X1 != iProver_Domain_i_1
| X2 != iProver_Domain_i_1
| X3 != iProver_Domain_i_1 )
& ( X1 != iProver_Domain_i_1
| X2 != iProver_Domain_i_1
| X4 != iProver_Domain_i_1 ) )
| ( X0 = iProver_Domain_i_2
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X3 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X4 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_chapp__02
fof(lit_def_022,axiom,
! [X0,X1,X2] :
( iProver_Flat_chapp__02(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X1 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X2 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_c_27const_2ebool_2eLET_27__02
fof(lit_def_023,axiom,
! [X0,X1,X2] :
( iProver_Flat_c_27const_2ebool_2eLET_27__02(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X1 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X2 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK15
fof(lit_def_024,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK15(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X1 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_c_27const_2ecombin_2eI_27__01
fof(lit_def_025,axiom,
! [X0,X1] :
( iProver_Flat_c_27const_2ecombin_2eI_27__01(X0,X1)
<=> ( ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X1 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_c_27type_2epair_2eprod_27__02
fof(lit_def_026,axiom,
! [X0,X1,X2] :
( iProver_Flat_c_27type_2epair_2eprod_27__02(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& ( X1 != iProver_Domain_i_1
| X2 != iProver_Domain_i_1 )
& X2 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_c_27const_2epair_2eUNCURRY_27__01
fof(lit_def_027,axiom,
! [X0,X1] :
( iProver_Flat_c_27const_2epair_2eUNCURRY_27__01(X0,X1)
<=> ( ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X1 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_c_27const_2epair_2e_2c_27__02
fof(lit_def_028,axiom,
! [X0,X1,X2] :
( iProver_Flat_c_27const_2epair_2e_2c_27__02(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X1 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X2 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK16
fof(lit_def_029,axiom,
! [X0,X1,X2,X3] :
( iProver_Flat_sK16(X0,X1,X2,X3)
<=> ( ( X0 = iProver_Domain_i_1
& ( X1 != iProver_Domain_i_1
| X2 != iProver_Domain_i_1 )
& ( X1 != iProver_Domain_i_1
| X2 != iProver_Domain_i_1
| X3 != iProver_Domain_i_1 )
& ( X2 != iProver_Domain_i_1
| X3 != iProver_Domain_i_1 ) )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X3 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X3 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X2 = iProver_Domain_i_1
& X3 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK17
fof(lit_def_030,axiom,
! [X0,X1,X2,X3] :
( iProver_Flat_sK17(X0,X1,X2,X3)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1
& X3 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X1 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X3 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK18
fof(lit_def_031,axiom,
! [X0,X1,X2,X3] :
( iProver_Flat_sK18(X0,X1,X2,X3)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X3 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X3 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X1 = iProver_Domain_i_1
& ( X2 != iProver_Domain_i_1
| X3 != iProver_Domain_i_1 ) )
| ( X0 = iProver_Domain_i_2
& X2 = iProver_Domain_i_1
& ( X1 != iProver_Domain_i_1
| X3 != iProver_Domain_i_1 )
& X3 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_c_27type_2elist_2elist_27__01
fof(lit_def_032,axiom,
! [X0,X1] :
( iProver_Flat_c_27type_2elist_2elist_27__01(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2elist_2eNIL_27__00
fof(lit_def_033,axiom,
! [X0] :
( iProver_Flat_c_27const_2elist_2eNIL_27__00(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_c_27const_2elist_2eCONS_27__02
fof(lit_def_034,axiom,
! [X0,X1,X2] :
( iProver_Flat_c_27const_2elist_2eCONS_27__02(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_c_27type_2eclosLang_2eexp_27__00
fof(lit_def_035,axiom,
! [X0] :
( iProver_Flat_c_27type_2eclosLang_2eexp_27__00(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27type_2enum_2enum_27__00
fof(lit_def_036,axiom,
! [X0] :
( iProver_Flat_c_27type_2enum_2enum_27__00(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_sK19
fof(lit_def_037,axiom,
! [X0,X1] :
( iProver_Flat_sK19(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27type_2ebackend__common_2etra_27__00
fof(lit_def_038,axiom,
! [X0] :
( iProver_Flat_c_27type_2ebackend__common_2etra_27__00(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK20
fof(lit_def_039,axiom,
! [X0,X1] :
( iProver_Flat_sK20(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27type_2eoption_2eoption_27__01
fof(lit_def_040,axiom,
! [X0,X1] :
( iProver_Flat_c_27type_2eoption_2eoption_27__01(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK21
fof(lit_def_041,axiom,
! [X0,X1] :
( iProver_Flat_sK21(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eoption_2eSOME_27__01
fof(lit_def_042,axiom,
! [X0,X1] :
( iProver_Flat_c_27const_2eoption_2eSOME_27__01(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK22
fof(lit_def_043,axiom,
! [X0,X1] :
( iProver_Flat_sK22(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK23
fof(lit_def_044,axiom,
! [X0,X1] :
( iProver_Flat_sK23(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK24
fof(lit_def_045,axiom,
! [X0,X1] :
( iProver_Flat_sK24(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclosLang_2eFn_27__05
fof(lit_def_046,axiom,
! [X0,X1,X2,X3,X4,X5] :
( iProver_Flat_c_27const_2eclosLang_2eFn_27__05(X0,X1,X2,X3,X4,X5)
<=> ( ( X0 = iProver_Domain_i_1
& ( X1 != iProver_Domain_i_1
| X2 != iProver_Domain_i_1
| X3 != iProver_Domain_i_1
| X4 != iProver_Domain_i_1
| X5 != iProver_Domain_i_1 ) )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X3 = iProver_Domain_i_1
& X4 = iProver_Domain_i_1
& X5 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK25
fof(lit_def_047,axiom,
! [X0,X1] :
( iProver_Flat_sK25(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK26
fof(lit_def_048,axiom,
! [X0,X1] :
( iProver_Flat_sK26(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eoption_2eNONE_27__00
fof(lit_def_049,axiom,
! [X0] :
( iProver_Flat_c_27const_2eoption_2eNONE_27__00(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK27
fof(lit_def_050,axiom,
! [X0,X1] :
( iProver_Flat_sK27(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK28
fof(lit_def_051,axiom,
! [X0,X1] :
( iProver_Flat_sK28(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK29
fof(lit_def_052,axiom,
! [X0,X1] :
( iProver_Flat_sK29(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK30
fof(lit_def_053,axiom,
! [X0,X1] :
( iProver_Flat_sK30(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK31
fof(lit_def_054,axiom,
! [X0,X1] :
( iProver_Flat_sK31(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK32
fof(lit_def_055,axiom,
! [X0,X1] :
( iProver_Flat_sK32(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK33
fof(lit_def_056,axiom,
! [X0,X1] :
( iProver_Flat_sK33(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclos__mti_2ecollect__args_27__03
fof(lit_def_057,axiom,
! [X0,X1,X2,X3] :
( iProver_Flat_c_27const_2eclos__mti_2ecollect__args_27__03(X0,X1,X2,X3)
<=> ( ( X0 = iProver_Domain_i_1
& X3 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X3 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X3 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X3 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK34
fof(lit_def_058,axiom,
! [X0,X1] :
( iProver_Flat_sK34(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK35
fof(lit_def_059,axiom,
! [X0,X1] :
( iProver_Flat_sK35(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK36
fof(lit_def_060,axiom,
! [X0,X1] :
( iProver_Flat_sK36(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK37
fof(lit_def_061,axiom,
! [X0,X1] :
( iProver_Flat_sK37(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK38
fof(lit_def_062,axiom,
! [X0,X1] :
( iProver_Flat_sK38(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclosLang_2eCall_27__04
fof(lit_def_063,axiom,
! [X0,X1,X2,X3,X4] :
( iProver_Flat_c_27const_2eclosLang_2eCall_27__04(X0,X1,X2,X3,X4)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK39
fof(lit_def_064,axiom,
! [X0,X1] :
( iProver_Flat_sK39(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK40
fof(lit_def_065,axiom,
! [X0,X1] :
( iProver_Flat_sK40(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK41
fof(lit_def_066,axiom,
! [X0,X1] :
( iProver_Flat_sK41(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclosLang_2eTick_27__02
fof(lit_def_067,axiom,
! [X0,X1,X2] :
( iProver_Flat_c_27const_2eclosLang_2eTick_27__02(X0,X1,X2)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK42
fof(lit_def_068,axiom,
! [X0,X1] :
( iProver_Flat_sK42(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK43
fof(lit_def_069,axiom,
! [X0,X1] :
( iProver_Flat_sK43(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK44
fof(lit_def_070,axiom,
! [X0,X1] :
( iProver_Flat_sK44(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclosLang_2eRaise_27__02
fof(lit_def_071,axiom,
! [X0,X1,X2] :
( iProver_Flat_c_27const_2eclosLang_2eRaise_27__02(X0,X1,X2)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK45
fof(lit_def_072,axiom,
! [X0,X1] :
( iProver_Flat_sK45(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK46
fof(lit_def_073,axiom,
! [X0,X1] :
( iProver_Flat_sK46(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK47
fof(lit_def_074,axiom,
! [X0,X1] :
( iProver_Flat_sK47(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK48
fof(lit_def_075,axiom,
! [X0,X1] :
( iProver_Flat_sK48(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclosLang_2eLetrec_27__05
fof(lit_def_076,axiom,
! [X0,X1,X2,X3,X4,X5] :
( iProver_Flat_c_27const_2eclosLang_2eLetrec_27__05(X0,X1,X2,X3,X4,X5)
<=> ( ( X0 = iProver_Domain_i_1
& ( X4 != iProver_Domain_i_1
| X5 != iProver_Domain_i_1 ) )
| ( X0 = iProver_Domain_i_1
& X4 = iProver_Domain_i_1
& X5 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_c_27const_2elist_2eLIST__TO__SET_27__01
fof(lit_def_077,axiom,
! [X0,X1] :
( iProver_Flat_c_27const_2elist_2eLIST__TO__SET_27__01(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2ebool_2eIN_27__02
fof(lit_def_078,axiom,
! [X0,X1,X2] :
( iProver_Flat_c_27const_2ebool_2eIN_27__02(X0,X1,X2)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK49
fof(lit_def_079,axiom,
! [X0,X1] :
( iProver_Flat_sK49(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK50
fof(lit_def_080,axiom,
! [X0,X1] :
( iProver_Flat_sK50(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK51
fof(lit_def_081,axiom,
! [X0,X1] :
( iProver_Flat_sK51(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK52
fof(lit_def_082,axiom,
! [X0,X1] :
( iProver_Flat_sK52(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK53
fof(lit_def_083,axiom,
! [X0,X1] :
( iProver_Flat_sK53(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclosLang_2eApp_27__04
fof(lit_def_084,axiom,
! [X0,X1,X2,X3,X4] :
( iProver_Flat_c_27const_2eclosLang_2eApp_27__04(X0,X1,X2,X3,X4)
<=> ( ( X0 = iProver_Domain_i_1
& ( X1 != iProver_Domain_i_1
| X2 != iProver_Domain_i_1
| X3 != iProver_Domain_i_1 ) )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X3 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK54
fof(lit_def_085,axiom,
! [X0,X1] :
( iProver_Flat_sK54(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK55
fof(lit_def_086,axiom,
! [X0,X1] :
( iProver_Flat_sK55(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK56
fof(lit_def_087,axiom,
! [X0,X1] :
( iProver_Flat_sK56(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK57
fof(lit_def_088,axiom,
! [X0,X1] :
( iProver_Flat_sK57(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclos__mti_2ecollect__apps_27__03
fof(lit_def_089,axiom,
! [X0,X1,X2,X3] :
( iProver_Flat_c_27const_2eclos__mti_2ecollect__apps_27__03(X0,X1,X2,X3)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK58
fof(lit_def_090,axiom,
! [X0,X1] :
( iProver_Flat_sK58(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK59
fof(lit_def_091,axiom,
! [X0,X1] :
( iProver_Flat_sK59(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK60
fof(lit_def_092,axiom,
! [X0,X1] :
( iProver_Flat_sK60(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK61
fof(lit_def_093,axiom,
! [X0,X1] :
( iProver_Flat_sK61(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclosLang_2eHandle_27__03
fof(lit_def_094,axiom,
! [X0,X1,X2,X3] :
( iProver_Flat_c_27const_2eclosLang_2eHandle_27__03(X0,X1,X2,X3)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK62
fof(lit_def_095,axiom,
! [X0,X1] :
( iProver_Flat_sK62(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK63
fof(lit_def_096,axiom,
! [X0,X1] :
( iProver_Flat_sK63(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK64
fof(lit_def_097,axiom,
! [X0,X1] :
( iProver_Flat_sK64(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK65
fof(lit_def_098,axiom,
! [X0,X1] :
( iProver_Flat_sK65(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclosLang_2eLet_27__03
fof(lit_def_099,axiom,
! [X0,X1,X2,X3] :
( iProver_Flat_c_27const_2eclosLang_2eLet_27__03(X0,X1,X2,X3)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK66
fof(lit_def_100,axiom,
! [X0,X1] :
( iProver_Flat_sK66(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK67
fof(lit_def_101,axiom,
! [X0,X1] :
( iProver_Flat_sK67(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK68
fof(lit_def_102,axiom,
! [X0,X1] :
( iProver_Flat_sK68(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK69
fof(lit_def_103,axiom,
! [X0,X1] :
( iProver_Flat_sK69(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK70
fof(lit_def_104,axiom,
! [X0,X1] :
( iProver_Flat_sK70(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclosLang_2eIf_27__04
fof(lit_def_105,axiom,
! [X0,X1,X2,X3,X4] :
( iProver_Flat_c_27const_2eclosLang_2eIf_27__04(X0,X1,X2,X3,X4)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK71
fof(lit_def_106,axiom,
! [X0,X1] :
( iProver_Flat_sK71(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK72
fof(lit_def_107,axiom,
! [X0,X1] :
( iProver_Flat_sK72(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK73
fof(lit_def_108,axiom,
! [X0,X1] :
( iProver_Flat_sK73(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK74
fof(lit_def_109,axiom,
! [X0,X1] :
( iProver_Flat_sK74(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK75
fof(lit_def_110,axiom,
! [X0,X1] :
( iProver_Flat_sK75(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK76
fof(lit_def_111,axiom,
! [X0,X1] :
( iProver_Flat_sK76(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27type_2eclosLang_2eop_27__00
fof(lit_def_112,axiom,
! [X0] :
( iProver_Flat_c_27type_2eclosLang_2eop_27__00(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK77
fof(lit_def_113,axiom,
! [X0,X1] :
( iProver_Flat_sK77(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK78
fof(lit_def_114,axiom,
! [X0,X1] :
( iProver_Flat_sK78(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclosLang_2eOp_27__03
fof(lit_def_115,axiom,
! [X0,X1,X2,X3] :
( iProver_Flat_c_27const_2eclosLang_2eOp_27__03(X0,X1,X2,X3)
<=> ( ( X0 = iProver_Domain_i_1
& X3 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X3 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X3 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK79
fof(lit_def_116,axiom,
! [X0,X1] :
( iProver_Flat_sK79(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK80
fof(lit_def_117,axiom,
! [X0,X1] :
( iProver_Flat_sK80(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK81
fof(lit_def_118,axiom,
! [X0,X1] :
( iProver_Flat_sK81(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK82
fof(lit_def_119,axiom,
! [X0,X1] :
( iProver_Flat_sK82(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK83
fof(lit_def_120,axiom,
! [X0,X1] :
( iProver_Flat_sK83(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK84
fof(lit_def_121,axiom,
! [X0,X1] :
( iProver_Flat_sK84(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK85
fof(lit_def_122,axiom,
! [X0,X1] :
( iProver_Flat_sK85(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK86
fof(lit_def_123,axiom,
! [X0,X1] :
( iProver_Flat_sK86(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK87
fof(lit_def_124,axiom,
! [X0,X1] :
( iProver_Flat_sK87(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK88
fof(lit_def_125,axiom,
! [X0,X1] :
( iProver_Flat_sK88(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK89
fof(lit_def_126,axiom,
! [X0,X1] :
( iProver_Flat_sK89(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK90
fof(lit_def_127,axiom,
! [X0,X1] :
( iProver_Flat_sK90(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK91
fof(lit_def_128,axiom,
! [X0,X1] :
( iProver_Flat_sK91(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK92
fof(lit_def_129,axiom,
! [X0,X1] :
( iProver_Flat_sK92(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclosLang_2eVar_27__02
fof(lit_def_130,axiom,
! [X0,X1,X2] :
( iProver_Flat_c_27const_2eclosLang_2eVar_27__02(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK93
fof(lit_def_131,axiom,
! [X0,X1] :
( iProver_Flat_sK93(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2eclos__mti_2eintro__multi_27__02
fof(lit_def_132,axiom,
! [X0,X1,X2] :
( iProver_Flat_c_27const_2eclos__mti_2eintro__multi_27__02(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X1 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X2 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_c_27const_2elist_2eHD_27__01
fof(lit_def_133,axiom,
! [X0,X1] :
( iProver_Flat_c_27const_2elist_2eHD_27__01(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_c_27const_2elist_2eMAP_27__02
fof(lit_def_134,axiom,
! [X0,X1,X2] :
( iProver_Flat_c_27const_2elist_2eMAP_27__02(X0,X1,X2)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK94
fof(lit_def_135,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK94(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK95
fof(lit_def_136,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK95(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK96
fof(lit_def_137,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK96(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK97
fof(lit_def_138,axiom,
! [X0,X1] :
( iProver_Flat_sK97(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK98
fof(lit_def_139,axiom,
! [X0,X1] :
( iProver_Flat_sK98(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK99
fof(lit_def_140,axiom,
! [X0,X1] :
( iProver_Flat_sK99(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK100
fof(lit_def_141,axiom,
! [X0,X1] :
( iProver_Flat_sK100(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK101
fof(lit_def_142,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK101(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK103
fof(lit_def_143,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK103(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK102
fof(lit_def_144,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK102(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK104
fof(lit_def_145,axiom,
! [X0,X1] :
( iProver_Flat_sK104(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK105
fof(lit_def_146,axiom,
! [X0,X1] :
( iProver_Flat_sK105(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK106
fof(lit_def_147,axiom,
! [X0,X1] :
( iProver_Flat_sK106(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK107
fof(lit_def_148,axiom,
! [X0,X1] :
( iProver_Flat_sK107(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK108
fof(lit_def_149,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK108(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK109
fof(lit_def_150,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK109(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK110
fof(lit_def_151,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK110(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK111
fof(lit_def_152,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK111(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_2
& X2 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK112
fof(lit_def_153,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK112(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK114
fof(lit_def_154,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK114(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK113
fof(lit_def_155,axiom,
! [X0,X1,X2] :
( iProver_Flat_sK113(X0,X1,X2)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1
& X2 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X2 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK115
fof(lit_def_156,axiom,
! [X0,X1] :
( iProver_Flat_sK115(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK116
fof(lit_def_157,axiom,
! [X0,X1] :
( iProver_Flat_sK116(X0,X1)
<=> ( ( X0 = iProver_Domain_i_1
& X1 != iProver_Domain_i_1 )
| ( X0 = iProver_Domain_i_1
& X1 = iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of iProver_Flat_sK117
fof(lit_def_158,axiom,
! [X0,X1] :
( iProver_Flat_sK117(X0,X1)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK119
fof(lit_def_159,axiom,
! [X0] :
( iProver_Flat_sK119(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_sK118
fof(lit_def_160,axiom,
! [X0] :
( iProver_Flat_sK118(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW905+1 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.14 % Command : run_iprover %s %d SAT
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 2 22:24:34 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running model finding
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 86.59/11.72 % SZS status Started for theBenchmark.p
% 86.59/11.72 % SZS status CounterSatisfiable for theBenchmark.p
% 86.59/11.72
% 86.59/11.72 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 86.59/11.72
% 86.59/11.72 ------ iProver source info
% 86.59/11.72
% 86.59/11.72 git: date: 2024-05-02 19:28:25 +0000
% 86.59/11.72 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 86.59/11.72 git: non_committed_changes: false
% 86.59/11.72
% 86.59/11.72 ------ Parsing...
% 86.59/11.72 ------ Clausification by vclausify_rel & Parsing by iProver...
% 86.59/11.72 ------ Proving...
% 86.59/11.72 ------ Problem Properties
% 86.59/11.72
% 86.59/11.72
% 86.59/11.72 clauses 111
% 86.59/11.72 conjectures 2
% 86.59/11.72 EPR 0
% 86.59/11.72 Horn 88
% 86.59/11.72 unary 9
% 86.59/11.72 binary 80
% 86.59/11.72 lits 381
% 86.59/11.72 lits eq 63
% 86.59/11.72 fd_pure 0
% 86.59/11.72 fd_pseudo 0
% 86.59/11.72 fd_cond 0
% 86.59/11.72 fd_pseudo_cond 0
% 86.59/11.72 AC symbols 0
% 86.59/11.72
% 86.59/11.72 ------ Input Options Time Limit: Unbounded
% 86.59/11.72
% 86.59/11.72
% 86.59/11.72 ------ Finite Models:
% 86.59/11.72
% 86.59/11.72 ------ lit_activity_flag true
% 86.59/11.72
% 86.59/11.72
% 86.59/11.72 ------ Trying domains of size >= : 1
% 86.59/11.72
% 86.59/11.72 ------ Trying domains of size >= : 2
% 86.59/11.72 ------
% 86.59/11.72 Current options:
% 86.59/11.72 ------
% 86.59/11.72
% 86.59/11.72 ------ Input Options
% 86.59/11.72
% 86.59/11.72 --out_options all
% 86.59/11.72 --tptp_safe_out true
% 86.59/11.72 --problem_path ""
% 86.59/11.72 --include_path ""
% 86.59/11.72 --clausifier res/vclausify_rel
% 86.59/11.72 --clausifier_options --mode clausify -t 300.00 -updr off
% 86.59/11.72 --stdin false
% 86.59/11.72 --proof_out true
% 86.59/11.72 --proof_dot_file ""
% 86.59/11.72 --proof_reduce_dot []
% 86.59/11.72 --suppress_sat_res false
% 86.59/11.72 --suppress_unsat_res true
% 86.59/11.72 --stats_out none
% 86.59/11.72 --stats_mem false
% 86.59/11.72 --theory_stats_out false
% 86.59/11.72
% 86.59/11.72 ------ General Options
% 86.59/11.72
% 86.59/11.72 --fof false
% 86.59/11.72 --time_out_real 300.
% 86.59/11.72 --time_out_virtual -1.
% 86.59/11.72 --rnd_seed 13
% 86.59/11.72 --symbol_type_check false
% 86.59/11.72 --clausify_out false
% 86.59/11.72 --sig_cnt_out false
% 86.59/11.72 --trig_cnt_out false
% 86.59/11.72 --trig_cnt_out_tolerance 1.
% 86.59/11.72 --trig_cnt_out_sk_spl false
% 86.59/11.72 --abstr_cl_out false
% 86.59/11.72
% 86.59/11.72 ------ Interactive Mode
% 86.59/11.72
% 86.59/11.72 --interactive_mode false
% 86.59/11.72 --external_ip_address ""
% 86.59/11.72 --external_port 0
% 86.59/11.72
% 86.59/11.72 ------ Global Options
% 86.59/11.72
% 86.59/11.72 --schedule none
% 86.59/11.72 --add_important_lit false
% 86.59/11.72 --prop_solver_per_cl 500
% 86.59/11.72 --subs_bck_mult 8
% 86.59/11.72 --min_unsat_core false
% 86.59/11.72 --soft_assumptions false
% 86.59/11.72 --soft_lemma_size 3
% 86.59/11.72 --prop_impl_unit_size 0
% 86.59/11.72 --prop_impl_unit []
% 86.59/11.72 --share_sel_clauses true
% 86.59/11.72 --reset_solvers false
% 86.59/11.72 --bc_imp_inh [conj_cone]
% 86.59/11.72 --conj_cone_tolerance 3.
% 86.59/11.72 --extra_neg_conj none
% 86.59/11.72 --large_theory_mode true
% 86.59/11.72 --prolific_symb_bound 200
% 86.59/11.72 --lt_threshold 2000
% 86.59/11.72 --clause_weak_htbl true
% 86.59/11.72 --gc_record_bc_elim false
% 86.59/11.72
% 86.59/11.72 ------ Preprocessing Options
% 86.59/11.72
% 86.59/11.72 --preprocessing_flag false
% 86.59/11.72 --time_out_prep_mult 0.1
% 86.59/11.72 --splitting_mode input
% 86.59/11.72 --splitting_grd true
% 86.59/11.72 --splitting_cvd false
% 86.59/11.72 --splitting_cvd_svl false
% 86.59/11.72 --splitting_nvd 32
% 86.59/11.72 --sub_typing false
% 86.59/11.72 --prep_eq_flat_conj false
% 86.59/11.72 --prep_eq_flat_all_gr false
% 86.59/11.72 --prep_gs_sim true
% 86.59/11.72 --prep_unflatten true
% 86.59/11.72 --prep_res_sim false
% 86.59/11.72 --prep_sup_sim_all true
% 86.59/11.72 --prep_sup_sim_sup false
% 86.59/11.72 --prep_upred true
% 86.59/11.72 --prep_well_definedness true
% 86.59/11.72 --prep_sem_filter exhaustive
% 86.59/11.72 --prep_sem_filter_out false
% 86.59/11.72 --pred_elim false
% 86.59/11.72 --res_sim_input false
% 86.59/11.72 --eq_ax_congr_red true
% 86.59/11.72 --pure_diseq_elim true
% 86.59/11.72 --brand_transform false
% 86.59/11.72 --non_eq_to_eq false
% 86.59/11.72 --prep_def_merge true
% 86.59/11.72 --prep_def_merge_prop_impl false
% 86.59/11.72 --prep_def_merge_mbd true
% 86.59/11.72 --prep_def_merge_tr_red false
% 86.59/11.72 --prep_def_merge_tr_cl false
% 86.59/11.72 --smt_preprocessing false
% 86.59/11.72 --smt_ac_axioms fast
% 86.59/11.72 --preprocessed_out false
% 86.59/11.72 --preprocessed_stats false
% 86.59/11.72
% 86.59/11.72 ------ Abstraction refinement Options
% 86.59/11.72
% 86.59/11.72 --abstr_ref []
% 86.59/11.72 --abstr_ref_prep false
% 86.59/11.72 --abstr_ref_until_sat false
% 86.59/11.72 --abstr_ref_sig_restrict funpre
% 86.59/11.72 --abstr_ref_af_restrict_to_split_sk false
% 86.59/11.72 --abstr_ref_under []
% 86.59/11.72
% 86.59/11.72 ------ SAT Options
% 86.59/11.72
% 86.59/11.72 --sat_mode true
% 86.59/11.72 --sat_fm_restart_options ""
% 86.59/11.72 --sat_gr_def false
% 86.59/11.72 --sat_epr_types true
% 86.59/11.72 --sat_non_cyclic_types false
% 86.59/11.72 --sat_finite_models true
% 86.59/11.72 --sat_fm_lemmas true
% 86.59/11.72 --sat_fm_prep false
% 86.59/11.72 --sat_fm_uc_incr false
% 86.59/11.72 --sat_out_model pos
% 86.59/11.72 --sat_out_clauses false
% 86.59/11.72
% 86.59/11.72 ------ QBF Options
% 86.59/11.72
% 86.59/11.72 --qbf_mode false
% 86.59/11.72 --qbf_elim_univ false
% 86.59/11.72 --qbf_dom_inst none
% 86.59/11.72 --qbf_dom_pre_inst false
% 86.59/11.72 --qbf_sk_in false
% 86.59/11.72 --qbf_pred_elim true
% 86.59/11.72 --qbf_split 512
% 86.59/11.72
% 86.59/11.72 ------ BMC1 Options
% 86.59/11.72
% 86.59/11.72 --bmc1_incremental false
% 86.59/11.72 --bmc1_axioms reachable_all
% 86.59/11.72 --bmc1_min_bound 0
% 86.59/11.72 --bmc1_max_bound -1
% 86.59/11.72 --bmc1_max_bound_default -1
% 86.59/11.72 --bmc1_symbol_reachability true
% 86.59/11.72 --bmc1_property_lemmas false
% 86.59/11.72 --bmc1_k_induction false
% 86.59/11.72 --bmc1_non_equiv_states false
% 86.59/11.72 --bmc1_deadlock false
% 86.59/11.72 --bmc1_ucm false
% 86.59/11.72 --bmc1_add_unsat_core none
% 86.59/11.72 --bmc1_unsat_core_children false
% 86.59/11.72 --bmc1_unsat_core_extrapolate_axioms false
% 86.59/11.72 --bmc1_out_stat full
% 86.59/11.72 --bmc1_ground_init false
% 86.59/11.72 --bmc1_pre_inst_next_state false
% 86.59/11.72 --bmc1_pre_inst_state false
% 86.59/11.72 --bmc1_pre_inst_reach_state false
% 86.59/11.72 --bmc1_out_unsat_core false
% 86.59/11.72 --bmc1_aig_witness_out false
% 86.59/11.72 --bmc1_verbose false
% 86.59/11.72 --bmc1_dump_clauses_tptp false
% 86.59/11.72 --bmc1_dump_unsat_core_tptp false
% 86.59/11.72 --bmc1_dump_file -
% 86.59/11.72 --bmc1_ucm_expand_uc_limit 128
% 86.59/11.72 --bmc1_ucm_n_expand_iterations 6
% 86.59/11.72 --bmc1_ucm_extend_mode 1
% 86.59/11.72 --bmc1_ucm_init_mode 2
% 86.59/11.72 --bmc1_ucm_cone_mode none
% 86.59/11.72 --bmc1_ucm_reduced_relation_type 0
% 86.59/11.72 --bmc1_ucm_relax_model 4
% 86.59/11.72 --bmc1_ucm_full_tr_after_sat true
% 86.59/11.72 --bmc1_ucm_expand_neg_assumptions false
% 86.59/11.72 --bmc1_ucm_layered_model none
% 86.59/11.72 --bmc1_ucm_max_lemma_size 10
% 86.59/11.72
% 86.59/11.72 ------ AIG Options
% 86.59/11.72
% 86.59/11.72 --aig_mode false
% 86.59/11.72
% 86.59/11.72 ------ Instantiation Options
% 86.59/11.72
% 86.59/11.72 --instantiation_flag true
% 86.59/11.72 --inst_sos_flag false
% 86.59/11.72 --inst_sos_phase true
% 86.59/11.72 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 86.59/11.72 --inst_lit_sel [+split;-sign;-depth]
% 86.59/11.72 --inst_lit_sel_side num_lit
% 86.59/11.72 --inst_solver_per_active 32768
% 86.59/11.72 --inst_solver_calls_frac 0.229050298324
% 86.59/11.72 --inst_to_smt_solver true
% 86.59/11.72 --inst_passive_queue_type priority_queues
% 86.59/11.72 --inst_passive_queues [[-epr]]
% 86.59/11.72 --inst_passive_queues_freq [25]
% 86.59/11.72 --inst_dismatching true
% 86.59/11.72 --inst_eager_unprocessed_to_passive false
% 86.59/11.72 --inst_unprocessed_bound 1000
% 86.59/11.72 --inst_prop_sim_given false
% 86.59/11.72 --inst_prop_sim_new false
% 86.59/11.72 --inst_subs_new false
% 86.59/11.72 --inst_eq_res_simp false
% 86.59/11.72 --inst_subs_given false
% 86.59/11.72 --inst_orphan_elimination true
% 86.59/11.72 --inst_learning_loop_flag true
% 86.59/11.72 --inst_learning_start 1
% 86.59/11.72 --inst_learning_factor 2
% 86.59/11.72 --inst_start_prop_sim_after_learn 10000
% 86.59/11.72 --inst_sel_renew solver
% 86.59/11.72 --inst_lit_activity_flag true
% 86.59/11.72 --inst_restr_to_given true
% 86.59/11.72 --inst_activity_threshold 4096
% 86.59/11.72
% 86.59/11.72 ------ Resolution Options
% 86.59/11.72
% 86.59/11.72 --resolution_flag false
% 86.59/11.72 --res_lit_sel adaptive
% 86.59/11.72 --res_lit_sel_side none
% 86.59/11.72 --res_ordering kbo
% 86.59/11.72 --res_to_prop_solver active
% 86.59/11.72 --res_prop_simpl_new false
% 86.59/11.72 --res_prop_simpl_given true
% 86.59/11.72 --res_to_smt_solver true
% 86.59/11.72 --res_passive_queue_type priority_queues
% 86.59/11.72 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 86.59/11.72 --res_passive_queues_freq [15;5]
% 86.59/11.72 --res_forward_subs full
% 86.59/11.72 --res_backward_subs full
% 86.59/11.72 --res_forward_subs_resolution true
% 86.59/11.72 --res_backward_subs_resolution true
% 86.59/11.72 --res_orphan_elimination true
% 86.59/11.72 --res_time_limit 300.
% 86.59/11.72
% 86.59/11.72 ------ Superposition Options
% 86.59/11.72
% 86.59/11.72 --superposition_flag false
% 86.59/11.72 --sup_passive_queue_type priority_queues
% 86.59/11.72 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 86.59/11.72 --sup_passive_queues_freq [8;1;4;4]
% 86.59/11.72 --demod_completeness_check fast
% 86.59/11.72 --demod_use_ground true
% 86.59/11.72 --sup_unprocessed_bound 0
% 86.59/11.72 --sup_to_prop_solver passive
% 86.59/11.72 --sup_prop_simpl_new true
% 86.59/11.72 --sup_prop_simpl_given true
% 86.59/11.72 --sup_fun_splitting false
% 86.59/11.72 --sup_iter_deepening 2
% 86.59/11.72 --sup_restarts_mult 12
% 86.59/11.72 --sup_score sim_d_gen
% 86.59/11.72 --sup_share_score_frac 0.2
% 86.59/11.72 --sup_share_max_num_cl 500
% 86.59/11.72 --sup_ordering kbo
% 86.59/11.72 --sup_symb_ordering invfreq
% 86.59/11.72 --sup_term_weight default
% 86.59/11.72
% 86.59/11.72 ------ Superposition Simplification Setup
% 86.59/11.72
% 86.59/11.72 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 86.59/11.72 --sup_full_triv [SMTSimplify;PropSubs]
% 86.59/11.72 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 86.59/11.72 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 86.59/11.72 --sup_immed_triv []
% 86.59/11.72 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 86.59/11.72 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 86.59/11.72 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 86.59/11.72 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 86.59/11.72 --sup_input_triv [Unflattening;SMTSimplify]
% 86.59/11.72 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 86.59/11.72 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 86.59/11.72 --sup_full_fixpoint true
% 86.59/11.72 --sup_main_fixpoint true
% 86.59/11.72 --sup_immed_fixpoint false
% 86.59/11.72 --sup_input_fixpoint true
% 86.59/11.72 --sup_cache_sim none
% 86.59/11.72 --sup_smt_interval 500
% 86.59/11.72 --sup_bw_gjoin_interval 0
% 86.59/11.72
% 86.59/11.72 ------ Combination Options
% 86.59/11.72
% 86.59/11.72 --comb_mode clause_based
% 86.59/11.72 --comb_inst_mult 10
% 86.59/11.72 --comb_res_mult 1
% 86.59/11.72 --comb_sup_mult 8
% 86.59/11.72 --comb_sup_deep_mult 2
% 86.59/11.72
% 86.59/11.72 ------ Debug Options
% 86.59/11.72
% 86.59/11.72 --dbg_backtrace false
% 86.59/11.72 --dbg_dump_prop_clauses false
% 86.59/11.72 --dbg_dump_prop_clauses_file -
% 86.59/11.72 --dbg_out_stat false
% 86.59/11.72 --dbg_just_parse false
% 86.59/11.72
% 86.59/11.72
% 86.59/11.72
% 86.59/11.72
% 86.59/11.72 ------ Proving...
% 86.59/11.72
% 86.59/11.72
% 86.59/11.72 % SZS status CounterSatisfiable for theBenchmark.p
% 86.59/11.72
% 86.59/11.72 ------ Building Model...Done
% 86.59/11.72
% 86.59/11.72 %------ The model is defined over ground terms (initial term algebra).
% 86.59/11.72 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 86.59/11.72 %------ where \phi is a formula over the term algebra.
% 86.59/11.72 %------ If we have equality in the problem then it is also defined as a predicate above,
% 86.59/11.72 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 86.59/11.72 %------ See help for --sat_out_model for different model outputs.
% 86.59/11.72 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 86.59/11.72 %------ where the first argument stands for the sort ($i in the unsorted case)
% 86.59/11.72 % SZS output start Model for theBenchmark.p
% See solution above
% 86.59/11.73
%------------------------------------------------------------------------------