TSTP Solution File: LCL651+1.015 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL651+1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 : Thu Aug 31 07:46:41 EDT 2023
% Result : CounterSatisfiable 83.21s 11.83s
% Output : Model 83.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
%------ Positive definition of sP41
fof(lit_def,axiom,
! [X0] :
( sP41(X0)
<=> $true ) ).
%------ Negative definition of r1
fof(lit_def_001,axiom,
! [X0,X1] :
( ~ r1(X0,X1)
<=> $false ) ).
%------ Positive definition of sP42
fof(lit_def_002,axiom,
! [X0] :
( sP42(X0)
<=> $true ) ).
%------ Negative definition of p45
fof(lit_def_003,axiom,
! [X0] :
( ~ p45(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of p44
fof(lit_def_004,axiom,
! [X0] :
( p44(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP40
fof(lit_def_005,axiom,
! [X0] :
( sP40(X0)
<=> $true ) ).
%------ Negative definition of p43
fof(lit_def_006,axiom,
! [X0] :
( ~ p43(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP39
fof(lit_def_007,axiom,
! [X0] :
( sP39(X0)
<=> $true ) ).
%------ Positive definition of p42
fof(lit_def_008,axiom,
! [X0] :
( p42(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP38
fof(lit_def_009,axiom,
! [X0] :
( sP38(X0)
<=> $true ) ).
%------ Negative definition of p41
fof(lit_def_010,axiom,
! [X0] :
( ~ p41(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP37
fof(lit_def_011,axiom,
! [X0] :
( sP37(X0)
<=> $true ) ).
%------ Positive definition of p40
fof(lit_def_012,axiom,
! [X0] :
( p40(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP36
fof(lit_def_013,axiom,
! [X0] :
( sP36(X0)
<=> $true ) ).
%------ Negative definition of p39
fof(lit_def_014,axiom,
! [X0] :
( ~ p39(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP35
fof(lit_def_015,axiom,
! [X0] :
( sP35(X0)
<=> $true ) ).
%------ Positive definition of p38
fof(lit_def_016,axiom,
! [X0] :
( p38(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP34
fof(lit_def_017,axiom,
! [X0] :
( sP34(X0)
<=> $true ) ).
%------ Negative definition of p37
fof(lit_def_018,axiom,
! [X0] :
( ~ p37(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP33
fof(lit_def_019,axiom,
! [X0] :
( sP33(X0)
<=> $true ) ).
%------ Positive definition of p36
fof(lit_def_020,axiom,
! [X0] :
( p36(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP32
fof(lit_def_021,axiom,
! [X0] :
( sP32(X0)
<=> $true ) ).
%------ Negative definition of p35
fof(lit_def_022,axiom,
! [X0] :
( ~ p35(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP31
fof(lit_def_023,axiom,
! [X0] :
( sP31(X0)
<=> $true ) ).
%------ Positive definition of p34
fof(lit_def_024,axiom,
! [X0] :
( p34(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP30
fof(lit_def_025,axiom,
! [X0] :
( sP30(X0)
<=> $true ) ).
%------ Negative definition of p33
fof(lit_def_026,axiom,
! [X0] :
( ~ p33(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP29
fof(lit_def_027,axiom,
! [X0] :
( sP29(X0)
<=> $true ) ).
%------ Positive definition of p32
fof(lit_def_028,axiom,
! [X0] :
( p32(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP28
fof(lit_def_029,axiom,
! [X0] :
( sP28(X0)
<=> $true ) ).
%------ Negative definition of p31
fof(lit_def_030,axiom,
! [X0] :
( ~ p31(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP27
fof(lit_def_031,axiom,
! [X0] :
( sP27(X0)
<=> $true ) ).
%------ Positive definition of p30
fof(lit_def_032,axiom,
! [X0] :
( p30(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP26
fof(lit_def_033,axiom,
! [X0] :
( sP26(X0)
<=> $true ) ).
%------ Negative definition of p29
fof(lit_def_034,axiom,
! [X0] :
( ~ p29(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP25
fof(lit_def_035,axiom,
! [X0] :
( sP25(X0)
<=> $true ) ).
%------ Positive definition of p28
fof(lit_def_036,axiom,
! [X0] :
( p28(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP24
fof(lit_def_037,axiom,
! [X0] :
( sP24(X0)
<=> $true ) ).
%------ Negative definition of p27
fof(lit_def_038,axiom,
! [X0] :
( ~ p27(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP23
fof(lit_def_039,axiom,
! [X0] :
( sP23(X0)
<=> $true ) ).
%------ Positive definition of p26
fof(lit_def_040,axiom,
! [X0] :
( p26(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP22
fof(lit_def_041,axiom,
! [X0] :
( sP22(X0)
<=> $true ) ).
%------ Negative definition of p25
fof(lit_def_042,axiom,
! [X0] :
( ~ p25(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP21
fof(lit_def_043,axiom,
! [X0] :
( sP21(X0)
<=> $true ) ).
%------ Positive definition of p24
fof(lit_def_044,axiom,
! [X0] :
( p24(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP20
fof(lit_def_045,axiom,
! [X0] :
( sP20(X0)
<=> $true ) ).
%------ Negative definition of p23
fof(lit_def_046,axiom,
! [X0] :
( ~ p23(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP19
fof(lit_def_047,axiom,
! [X0] :
( sP19(X0)
<=> $true ) ).
%------ Positive definition of p22
fof(lit_def_048,axiom,
! [X0] :
( p22(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP18
fof(lit_def_049,axiom,
! [X0] :
( sP18(X0)
<=> $true ) ).
%------ Negative definition of p21
fof(lit_def_050,axiom,
! [X0] :
( ~ p21(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP17
fof(lit_def_051,axiom,
! [X0] :
( sP17(X0)
<=> $true ) ).
%------ Positive definition of p20
fof(lit_def_052,axiom,
! [X0] :
( p20(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP16
fof(lit_def_053,axiom,
! [X0] :
( sP16(X0)
<=> $true ) ).
%------ Negative definition of p19
fof(lit_def_054,axiom,
! [X0] :
( ~ p19(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP15
fof(lit_def_055,axiom,
! [X0] :
( sP15(X0)
<=> $true ) ).
%------ Positive definition of p18
fof(lit_def_056,axiom,
! [X0] :
( p18(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP14
fof(lit_def_057,axiom,
! [X0] :
( sP14(X0)
<=> $true ) ).
%------ Negative definition of p17
fof(lit_def_058,axiom,
! [X0] :
( ~ p17(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP13
fof(lit_def_059,axiom,
! [X0] :
( sP13(X0)
<=> $true ) ).
%------ Positive definition of p16
fof(lit_def_060,axiom,
! [X0] :
( p16(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP12
fof(lit_def_061,axiom,
! [X0] :
( sP12(X0)
<=> $true ) ).
%------ Negative definition of p15
fof(lit_def_062,axiom,
! [X0] :
( ~ p15(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP11
fof(lit_def_063,axiom,
! [X0] :
( sP11(X0)
<=> $true ) ).
%------ Positive definition of p14
fof(lit_def_064,axiom,
! [X0] :
( p14(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP10
fof(lit_def_065,axiom,
! [X0] :
( sP10(X0)
<=> $true ) ).
%------ Negative definition of p13
fof(lit_def_066,axiom,
! [X0] :
( ~ p13(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP9
fof(lit_def_067,axiom,
! [X0] :
( sP9(X0)
<=> $true ) ).
%------ Positive definition of p12
fof(lit_def_068,axiom,
! [X0] :
( p12(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP8
fof(lit_def_069,axiom,
! [X0] :
( sP8(X0)
<=> $true ) ).
%------ Negative definition of p11
fof(lit_def_070,axiom,
! [X0] :
( ~ p11(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP7
fof(lit_def_071,axiom,
! [X0] :
( sP7(X0)
<=> $true ) ).
%------ Positive definition of p10
fof(lit_def_072,axiom,
! [X0] :
( p10(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP6
fof(lit_def_073,axiom,
! [X0] :
( sP6(X0)
<=> $true ) ).
%------ Negative definition of p9
fof(lit_def_074,axiom,
! [X0] :
( ~ p9(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP5
fof(lit_def_075,axiom,
! [X0] :
( sP5(X0)
<=> $true ) ).
%------ Positive definition of p8
fof(lit_def_076,axiom,
! [X0] :
( p8(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP4
fof(lit_def_077,axiom,
! [X0] :
( sP4(X0)
<=> $true ) ).
%------ Negative definition of p7
fof(lit_def_078,axiom,
! [X0] :
( ~ p7(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP3
fof(lit_def_079,axiom,
! [X0] :
( sP3(X0)
<=> $true ) ).
%------ Positive definition of p6
fof(lit_def_080,axiom,
! [X0] :
( p6(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP2
fof(lit_def_081,axiom,
! [X0] :
( sP2(X0)
<=> $true ) ).
%------ Negative definition of p5
fof(lit_def_082,axiom,
! [X0] :
( ~ p5(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP1
fof(lit_def_083,axiom,
! [X0] :
( sP1(X0)
<=> $true ) ).
%------ Positive definition of p4
fof(lit_def_084,axiom,
! [X0] :
( p4(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of sP0
fof(lit_def_085,axiom,
! [X0] :
( sP0(X0)
<=> $true ) ).
%------ Negative definition of p3
fof(lit_def_086,axiom,
! [X0] :
( ~ p3(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Negative definition of p1
fof(lit_def_087,axiom,
! [X0] :
( ~ p1(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of p2
fof(lit_def_088,axiom,
! [X0] :
( p2(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------ Positive definition of p46
fof(lit_def_089,axiom,
! [X0] :
( p46(X0)
<=> ( ? [X1] : X0 = sK43(X1)
| ? [X1] : X0 = sK45(X1)
| ? [X1] : X0 = sK47(X1)
| ? [X1] : X0 = sK49(X1)
| ? [X1] : X0 = sK51(X1)
| ? [X1] : X0 = sK53(X1)
| ? [X1] : X0 = sK55(X1)
| ? [X1] : X0 = sK57(X1)
| ? [X1] : X0 = sK59(X1)
| ? [X1] : X0 = sK61(X1)
| ? [X1] : X0 = sK63(X1)
| ? [X1] : X0 = sK65(X1)
| ? [X1] : X0 = sK67(X1)
| ? [X1] : X0 = sK69(X1)
| ? [X1] : X0 = sK71(X1)
| ? [X1] : X0 = sK73(X1)
| ? [X1] : X0 = sK75(X1)
| ? [X1] : X0 = sK77(X1)
| ? [X1] : X0 = sK79(X1)
| ? [X1] : X0 = sK81(X1)
| ? [X1] : X0 = sK83(X1)
| ? [X1] : X0 = sK85(X1) ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL651+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.17/0.34 % Computer : n014.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Fri Aug 25 03:16:18 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 83.21/11.83 % SZS status Started for theBenchmark.p
% 83.21/11.83 % SZS status CounterSatisfiable for theBenchmark.p
% 83.21/11.83
% 83.21/11.83 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 83.21/11.83
% 83.21/11.83 ------ iProver source info
% 83.21/11.83
% 83.21/11.83 git: date: 2023-05-31 18:12:56 +0000
% 83.21/11.83 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 83.21/11.83 git: non_committed_changes: false
% 83.21/11.83 git: last_make_outside_of_git: false
% 83.21/11.83
% 83.21/11.83 ------ Parsing...
% 83.21/11.83 ------ Clausification by vclausify_rel & Parsing by iProver...
% 83.21/11.83
% 83.21/11.83 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 83.21/11.83
% 83.21/11.83 ------ Preprocessing...
% 83.21/11.83 ------ Proving...
% 83.21/11.83 ------ Problem Properties
% 83.21/11.83
% 83.21/11.83
% 83.21/11.83 clauses 319
% 83.21/11.83 conjectures 103
% 83.21/11.83 EPR 230
% 83.21/11.83 Horn 273
% 83.21/11.83 unary 95
% 83.21/11.83 binary 1
% 83.21/11.83 lits 3020
% 83.21/11.83 lits eq 0
% 83.21/11.83 fd_pure 0
% 83.21/11.83 fd_pseudo 0
% 83.21/11.83 fd_cond 0
% 83.21/11.83 fd_pseudo_cond 0
% 83.21/11.83 AC symbols 0
% 83.21/11.83
% 83.21/11.83 ------ Input Options Time Limit: Unbounded
% 83.21/11.83
% 83.21/11.83
% 83.21/11.83 ------
% 83.21/11.83 Current options:
% 83.21/11.83 ------
% 83.21/11.83
% 83.21/11.83
% 83.21/11.83
% 83.21/11.83
% 83.21/11.83 ------ Proving...
% 83.21/11.83
% 83.21/11.83
% 83.21/11.83 % SZS status CounterSatisfiable for theBenchmark.p
% 83.21/11.83
% 83.21/11.83 ------ Building Model...Done
% 83.21/11.83
% 83.21/11.83 %------ The model is defined over ground terms (initial term algebra).
% 83.21/11.83 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 83.21/11.83 %------ where \phi is a formula over the term algebra.
% 83.21/11.83 %------ If we have equality in the problem then it is also defined as a predicate above,
% 83.21/11.83 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 83.21/11.83 %------ See help for --sat_out_model for different model outputs.
% 83.21/11.83 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 83.21/11.83 %------ where the first argument stands for the sort ($i in the unsorted case)
% 83.21/11.83 % SZS output start Model for theBenchmark.p
% See solution above
% 83.21/11.85
%------------------------------------------------------------------------------