%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL674+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:21:38 PM UTC 2026
% Result : Theorem 55.24s 55.57s
% Output : CNFRefutation 55.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named inputERROR: Could not build tree for root to_be_clausified_0ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(transitivity,axiom,
! [X,Y,Z] :
( ( r1(X,Y)
& r1(Y,Z) )
=> r1(X,Z) ),
input ).
fof(transitivity_0,plain,
! [X,Y,Z] :
( r1(X,Z)
| ~ ( r1(X,Y)
& r1(Y,Z) ) ),
inference(orientation,[status(thm)],[transitivity]) ).
fof(reflexivity,axiom,
! [X] : r1(X,X),
input ).
fof(reflexivity_0,plain,
! [X] :
( r1(X,X)
| $false ),
inference(orientation,[status(thm)],[reflexivity]) ).
fof(def_lhs_atom1,axiom,
! [X] :
( lhs_atom1(X)
<=> r1(X,X) ),
inference(definition,[],[]) ).
fof(to_be_clausified_0,plain,
! [X] :
( lhs_atom1(X)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [Z,X] :
( lhs_atom2(Z,X)
<=> r1(X,Z) ),
inference(definition,[],[]) ).
fof(to_be_clausified_1,plain,
! [X,Y,Z] :
( lhs_atom2(Z,X)
| ~ ( r1(X,Y)
& r1(Y,Z) ) ),
inference(fold_definition,[status(thm)],[transitivity_0,def_lhs_atom2]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2,X3,X1] :
( lhs_atom2(X2,X1)
| ~ ( r1(X1,X3)
& r1(X3,X2) ) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_1,axiom,
! [X1] :
( lhs_atom1(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_2,axiom,
! [X2,X3,X1] :
( lhs_atom2(X2,X1)
| ~ ( r1(X1,X3)
& r1(X3,X2) ) ),
c_0_0 ).
fof(c_0_3,plain,
! [X1] : lhs_atom1(X1),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_4,plain,
! [X4,X5,X6] :
( lhs_atom2(X4,X6)
| ~ r1(X6,X5)
| ~ r1(X5,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).
fof(c_0_5,plain,
! [X2] : lhs_atom1(X2),
inference(variable_rename,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( lhs_atom2(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
lhs_atom1(X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( lhs_atom2(X2,X3)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
c_0_6,
[final] ).
cnf(c_0_9,plain,
lhs_atom1(X1),
c_0_7,
[final] ).
% End CNF derivation
cnf(c_0_8_0,axiom,
( r1(X3,X2)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_8,def_lhs_atom2]) ).
cnf(c_0_9_0,axiom,
r1(X1,X1),
inference(unfold_definition,[status(thm)],[c_0_9,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p8(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p21(X1)
& ~ p121(X1)
& p120(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p21(X1)
& ~ p121(X1)
& p120(X1) ) ) )
| ~ ( ~ p120(X2)
& p119(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p20(X1)
& ~ p120(X1)
& p119(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p20(X1)
& ~ p120(X1)
& p119(X1) ) ) )
| ~ ( ~ p119(X2)
& p118(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p19(X1)
& ~ p119(X1)
& p118(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p19(X1)
& ~ p119(X1)
& p118(X1) ) ) )
| ~ ( ~ p118(X2)
& p117(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p18(X1)
& ~ p118(X1)
& p117(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p18(X1)
& ~ p118(X1)
& p117(X1) ) ) )
| ~ ( ~ p117(X2)
& p116(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p17(X1)
& ~ p117(X1)
& p116(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p17(X1)
& ~ p117(X1)
& p116(X1) ) ) )
| ~ ( ~ p116(X2)
& p115(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p16(X1)
& ~ p116(X1)
& p115(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p16(X1)
& ~ p116(X1)
& p115(X1) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p15(X1)
& ~ p115(X1)
& p114(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p15(X1)
& ~ p115(X1)
& p114(X1) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p14(X1)
& ~ p114(X1)
& p113(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p14(X1)
& ~ p114(X1)
& p113(X1) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p13(X1)
& ~ p113(X1)
& p112(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p13(X1)
& ~ p113(X1)
& p112(X1) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p12(X1)
& ~ p112(X1)
& p111(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p12(X1)
& ~ p112(X1)
& p111(X1) ) ) )
| ~ ( ~ p111(X2)
& p110(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p21(X1)
| ~ p120(X1) )
| p21(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p21(X1)
| ~ p120(X1) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p20(X1)
| ~ p119(X1) )
| p20(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p20(X1)
| ~ p119(X1) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p19(X1)
| ~ p118(X1) )
| p19(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p19(X1)
| ~ p118(X1) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p18(X1)
| ~ p117(X1) )
| p18(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p18(X1)
| ~ p117(X1) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p17(X1)
| ~ p116(X1) )
| p17(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p17(X1)
| ~ p116(X1) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p16(X1)
| ~ p115(X1) )
| p16(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p16(X1)
| ~ p115(X1) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p15(X1)
| ~ p114(X1) )
| p15(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p15(X1)
| ~ p114(X1) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p14(X1)
| ~ p113(X1) )
| p14(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p14(X1)
| ~ p113(X1) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p13(X1)
| ~ p112(X1) )
| p13(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p13(X1)
| ~ p112(X1) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p12(X1)
| ~ p111(X1) )
| p12(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p12(X1)
| ~ p111(X1) )
| ~ p12(X2) ) )
| ~ p111(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p120(X2)
| ~ p121(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
file('<stdin>',main) ).
fof(c_0_1_002,plain,
! [X2] :
( epred1_1(X2)
<=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p21(X1)
& ~ p121(X1)
& p120(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p21(X1)
& ~ p121(X1)
& p120(X1) ) ) )
| ~ ( ~ p120(X2)
& p119(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p20(X1)
& ~ p120(X1)
& p119(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p20(X1)
& ~ p120(X1)
& p119(X1) ) ) )
| ~ ( ~ p119(X2)
& p118(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p19(X1)
& ~ p119(X1)
& p118(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p19(X1)
& ~ p119(X1)
& p118(X1) ) ) )
| ~ ( ~ p118(X2)
& p117(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p18(X1)
& ~ p118(X1)
& p117(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p18(X1)
& ~ p118(X1)
& p117(X1) ) ) )
| ~ ( ~ p117(X2)
& p116(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p17(X1)
& ~ p117(X1)
& p116(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p17(X1)
& ~ p117(X1)
& p116(X1) ) ) )
| ~ ( ~ p116(X2)
& p115(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p16(X1)
& ~ p116(X1)
& p115(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p16(X1)
& ~ p116(X1)
& p115(X1) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p15(X1)
& ~ p115(X1)
& p114(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p15(X1)
& ~ p115(X1)
& p114(X1) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p14(X1)
& ~ p114(X1)
& p113(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p14(X1)
& ~ p114(X1)
& p113(X1) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p13(X1)
& ~ p113(X1)
& p112(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p13(X1)
& ~ p113(X1)
& p112(X1) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p12(X1)
& ~ p112(X1)
& p111(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p12(X1)
& ~ p112(X1)
& p111(X1) ) ) )
| ~ ( ~ p111(X2)
& p110(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p21(X1)
| ~ p120(X1) )
| p21(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p21(X1)
| ~ p120(X1) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p20(X1)
| ~ p119(X1) )
| p20(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p20(X1)
| ~ p119(X1) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p19(X1)
| ~ p118(X1) )
| p19(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p19(X1)
| ~ p118(X1) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p18(X1)
| ~ p117(X1) )
| p18(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p18(X1)
| ~ p117(X1) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p17(X1)
| ~ p116(X1) )
| p17(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p17(X1)
| ~ p116(X1) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p16(X1)
| ~ p115(X1) )
| p16(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p16(X1)
| ~ p115(X1) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p15(X1)
| ~ p114(X1) )
| p15(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p15(X1)
| ~ p114(X1) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p14(X1)
| ~ p113(X1) )
| p14(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p14(X1)
| ~ p113(X1) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p13(X1)
| ~ p112(X1) )
| p13(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p13(X1)
| ~ p112(X1) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p12(X1)
| ~ p111(X1) )
| p12(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p12(X1)
| ~ p111(X1) )
| ~ p12(X2) ) )
| ~ p111(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p120(X2)
| ~ p121(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
introduced(definition) ).
fof(c_0_2_003,plain,
! [X2] :
( epred1_1(X2)
=> ( ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p21(X1)
& ~ p121(X1)
& p120(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p21(X1)
& ~ p121(X1)
& p120(X1) ) ) )
| ~ ( ~ p120(X2)
& p119(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p20(X1)
& ~ p120(X1)
& p119(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p20(X1)
& ~ p120(X1)
& p119(X1) ) ) )
| ~ ( ~ p119(X2)
& p118(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p19(X1)
& ~ p119(X1)
& p118(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p19(X1)
& ~ p119(X1)
& p118(X1) ) ) )
| ~ ( ~ p118(X2)
& p117(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p18(X1)
& ~ p118(X1)
& p117(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p18(X1)
& ~ p118(X1)
& p117(X1) ) ) )
| ~ ( ~ p117(X2)
& p116(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p17(X1)
& ~ p117(X1)
& p116(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p17(X1)
& ~ p117(X1)
& p116(X1) ) ) )
| ~ ( ~ p116(X2)
& p115(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p16(X1)
& ~ p116(X1)
& p115(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p16(X1)
& ~ p116(X1)
& p115(X1) ) ) )
| ~ ( ~ p115(X2)
& p114(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p15(X1)
& ~ p115(X1)
& p114(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p15(X1)
& ~ p115(X1)
& p114(X1) ) ) )
| ~ ( ~ p114(X2)
& p113(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p14(X1)
& ~ p114(X1)
& p113(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p14(X1)
& ~ p114(X1)
& p113(X1) ) ) )
| ~ ( ~ p113(X2)
& p112(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p13(X1)
& ~ p113(X1)
& p112(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p13(X1)
& ~ p113(X1)
& p112(X1) ) ) )
| ~ ( ~ p112(X2)
& p111(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p12(X1)
& ~ p112(X1)
& p111(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p12(X1)
& ~ p112(X1)
& p111(X1) ) ) )
| ~ ( ~ p111(X2)
& p110(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p11(X1)
& ~ p111(X1)
& p110(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p11(X1)
& ~ p111(X1)
& p110(X1) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p10(X1)
& ~ p110(X1)
& p109(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p10(X1)
& ~ p110(X1)
& p109(X1) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p9(X1)
& ~ p109(X1)
& p108(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p9(X1)
& ~ p109(X1)
& p108(X1) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p8(X1)
& ~ p108(X1)
& p107(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p8(X1)
& ~ p108(X1)
& p107(X1) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p7(X1)
& ~ p107(X1)
& p106(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p7(X1)
& ~ p107(X1)
& p106(X1) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p6(X1)
& ~ p106(X1)
& p105(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p6(X1)
& ~ p106(X1)
& p105(X1) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p5(X1)
& ~ p105(X1)
& p104(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p5(X1)
& ~ p105(X1)
& p104(X1) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p4(X1)
& ~ p104(X1)
& p103(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p4(X1)
& ~ p104(X1)
& p103(X1) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p3(X1)
& ~ p103(X1)
& p102(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p3(X1)
& ~ p103(X1)
& p102(X1) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ p2(X1)
& ~ p102(X1)
& p101(X1) ) )
& ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ( p2(X1)
& ~ p102(X1)
& p101(X1) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p21(X1)
| ~ p120(X1) )
| p21(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p21(X1)
| ~ p120(X1) )
| ~ p21(X2) ) )
| ~ p120(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p20(X1)
| ~ p119(X1) )
| p20(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p20(X1)
| ~ p119(X1) )
| ~ p20(X2) ) )
| ~ p119(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p19(X1)
| ~ p118(X1) )
| p19(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p19(X1)
| ~ p118(X1) )
| ~ p19(X2) ) )
| ~ p118(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p18(X1)
| ~ p117(X1) )
| p18(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p18(X1)
| ~ p117(X1) )
| ~ p18(X2) ) )
| ~ p117(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p17(X1)
| ~ p116(X1) )
| p17(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p17(X1)
| ~ p116(X1) )
| ~ p17(X2) ) )
| ~ p116(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p16(X1)
| ~ p115(X1) )
| p16(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p16(X1)
| ~ p115(X1) )
| ~ p16(X2) ) )
| ~ p115(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p15(X1)
| ~ p114(X1) )
| p15(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p15(X1)
| ~ p114(X1) )
| ~ p15(X2) ) )
| ~ p114(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p14(X1)
| ~ p113(X1) )
| p14(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p14(X1)
| ~ p113(X1) )
| ~ p14(X2) ) )
| ~ p113(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p13(X1)
| ~ p112(X1) )
| p13(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p13(X1)
| ~ p112(X1) )
| ~ p13(X2) ) )
| ~ p112(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p12(X1)
| ~ p111(X1) )
| p12(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p12(X1)
| ~ p111(X1) )
| ~ p12(X2) ) )
| ~ p111(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p11(X1)
| ~ p110(X1) )
| p11(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p11(X1)
| ~ p110(X1) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p10(X1)
| ~ p109(X1) )
| p10(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p10(X1)
| ~ p109(X1) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p9(X1)
| ~ p108(X1) )
| p9(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p9(X1)
| ~ p108(X1) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p8(X1)
| ~ p107(X1) )
| p8(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p8(X1)
| ~ p107(X1) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p7(X1)
| ~ p106(X1) )
| p7(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p7(X1)
| ~ p106(X1) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p6(X1)
| ~ p105(X1) )
| p6(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p6(X1)
| ~ p105(X1) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p5(X1)
| ~ p104(X1) )
| p5(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p5(X1)
| ~ p104(X1) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p4(X1)
| ~ p103(X1) )
| p4(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p4(X1)
| ~ p103(X1) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p3(X1)
| ~ p102(X1) )
| p3(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p3(X1)
| ~ p102(X1) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p2(X1)
| ~ p101(X1) )
| p2(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p2(X1)
| ~ p101(X1) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1)
| ~ p100(X1) )
| p1(X2) )
& ( ! [X1] :
( ~ r1(X2,X1)
| p1(X1)
| ~ p100(X1) )
| ~ p1(X2) ) )
| ~ p100(X2) )
& ( p120(X2)
| ~ p121(X2) )
& ( p119(X2)
| ~ p120(X2) )
& ( p118(X2)
| ~ p119(X2) )
& ( p117(X2)
| ~ p118(X2) )
& ( p116(X2)
| ~ p117(X2) )
& ( p115(X2)
| ~ p116(X2) )
& ( p114(X2)
| ~ p115(X2) )
& ( p113(X2)
| ~ p114(X2) )
& ( p112(X2)
| ~ p113(X2) )
& ( p111(X2)
| ~ p112(X2) )
& ( p110(X2)
| ~ p111(X2) )
& ( p109(X2)
| ~ p110(X2) )
& ( p108(X2)
| ~ p109(X2) )
& ( p107(X2)
| ~ p108(X2) )
& ( p106(X2)
| ~ p107(X2) )
& ( p105(X2)
| ~ p106(X2) )
& ( p104(X2)
| ~ p105(X2) )
& ( p103(X2)
| ~ p104(X2) )
& ( p102(X2)
| ~ p103(X2) )
& ( p101(X2)
| ~ p102(X2) )
& ( p100(X2)
| ~ p101(X2) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
fof(c_0_3_004,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p8(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]),c_0_1,theory(equality,[symmetry])]) ).
fof(c_0_4_005,plain,
! [X3,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70,X71,X72,X73,X74,X75,X76,X77,X78,X79,X80,X81,X82,X83,X84,X85] :
( ( r1(X3,esk2_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( ~ p21(esk2_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( ~ p121(esk2_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( p120(esk2_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk3_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( p21(esk3_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( ~ p121(esk3_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( p120(esk3_1(X3))
| p120(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk4_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( ~ p20(esk4_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( ~ p120(esk4_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( p119(esk4_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk5_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( p20(esk5_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( ~ p120(esk5_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( p119(esk5_1(X3))
| p119(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk6_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( ~ p19(esk6_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( ~ p119(esk6_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( p118(esk6_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk7_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( p19(esk7_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( ~ p119(esk7_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( p118(esk7_1(X3))
| p118(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk8_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( ~ p18(esk8_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( ~ p118(esk8_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( p117(esk8_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk9_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( p18(esk9_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( ~ p118(esk9_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( p117(esk9_1(X3))
| p117(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk10_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( ~ p17(esk10_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( ~ p117(esk10_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( p116(esk10_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk11_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( p17(esk11_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( ~ p117(esk11_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( p116(esk11_1(X3))
| p116(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk12_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( ~ p16(esk12_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( ~ p116(esk12_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( p115(esk12_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk13_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( p16(esk13_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( ~ p116(esk13_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( p115(esk13_1(X3))
| p115(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk14_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( ~ p15(esk14_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( ~ p115(esk14_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( p114(esk14_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk15_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( p15(esk15_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( ~ p115(esk15_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( p114(esk15_1(X3))
| p114(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk16_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( ~ p14(esk16_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( ~ p114(esk16_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( p113(esk16_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk17_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( p14(esk17_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( ~ p114(esk17_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( p113(esk17_1(X3))
| p113(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk18_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( ~ p13(esk18_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( ~ p113(esk18_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( p112(esk18_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk19_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( p13(esk19_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( ~ p113(esk19_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( p112(esk19_1(X3))
| p112(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk20_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ p12(esk20_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ p112(esk20_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( p111(esk20_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk21_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( p12(esk21_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ p112(esk21_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( p111(esk21_1(X3))
| p111(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk22_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p11(esk22_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p111(esk22_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p110(esk22_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk23_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p11(esk23_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p111(esk23_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p110(esk23_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk24_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p10(esk24_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p110(esk24_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p109(esk24_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk25_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p10(esk25_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p110(esk25_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p109(esk25_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk26_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p9(esk26_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p109(esk26_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p108(esk26_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk27_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p9(esk27_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p109(esk27_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p108(esk27_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk28_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p8(esk28_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p108(esk28_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p107(esk28_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk29_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p8(esk29_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p108(esk29_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p107(esk29_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk30_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p7(esk30_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p107(esk30_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p106(esk30_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk31_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p7(esk31_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p107(esk31_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p106(esk31_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk32_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p6(esk32_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk32_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk32_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk33_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p6(esk33_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk33_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk33_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk34_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p5(esk34_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk34_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk34_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk35_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p5(esk35_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk35_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk35_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk36_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p4(esk36_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk36_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk36_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk37_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p4(esk37_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk37_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk37_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk38_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p3(esk38_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk38_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk38_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk39_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p3(esk39_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk39_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk39_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk40_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p2(esk40_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk40_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk40_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk41_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p2(esk41_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk41_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk41_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X44)
| ~ p21(X44)
| ~ p120(X44)
| p21(X3)
| ~ p120(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X45)
| p21(X45)
| ~ p120(X45)
| ~ p21(X3)
| ~ p120(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X46)
| ~ p20(X46)
| ~ p119(X46)
| p20(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X47)
| p20(X47)
| ~ p119(X47)
| ~ p20(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X48)
| ~ p19(X48)
| ~ p118(X48)
| p19(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X49)
| p19(X49)
| ~ p118(X49)
| ~ p19(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X50)
| ~ p18(X50)
| ~ p117(X50)
| p18(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X51)
| p18(X51)
| ~ p117(X51)
| ~ p18(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X52)
| ~ p17(X52)
| ~ p116(X52)
| p17(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X53)
| p17(X53)
| ~ p116(X53)
| ~ p17(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X54)
| ~ p16(X54)
| ~ p115(X54)
| p16(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X55)
| p16(X55)
| ~ p115(X55)
| ~ p16(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X56)
| ~ p15(X56)
| ~ p114(X56)
| p15(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X57)
| p15(X57)
| ~ p114(X57)
| ~ p15(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X58)
| ~ p14(X58)
| ~ p113(X58)
| p14(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X59)
| p14(X59)
| ~ p113(X59)
| ~ p14(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X60)
| ~ p13(X60)
| ~ p112(X60)
| p13(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X61)
| p13(X61)
| ~ p112(X61)
| ~ p13(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X62)
| ~ p12(X62)
| ~ p111(X62)
| p12(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X63)
| p12(X63)
| ~ p111(X63)
| ~ p12(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X64)
| ~ p11(X64)
| ~ p110(X64)
| p11(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X65)
| p11(X65)
| ~ p110(X65)
| ~ p11(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X66)
| ~ p10(X66)
| ~ p109(X66)
| p10(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X67)
| p10(X67)
| ~ p109(X67)
| ~ p10(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X68)
| ~ p9(X68)
| ~ p108(X68)
| p9(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X69)
| p9(X69)
| ~ p108(X69)
| ~ p9(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X70)
| ~ p8(X70)
| ~ p107(X70)
| p8(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X71)
| p8(X71)
| ~ p107(X71)
| ~ p8(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X72)
| ~ p7(X72)
| ~ p106(X72)
| p7(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X73)
| p7(X73)
| ~ p106(X73)
| ~ p7(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X74)
| ~ p6(X74)
| ~ p105(X74)
| p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X75)
| p6(X75)
| ~ p105(X75)
| ~ p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X76)
| ~ p5(X76)
| ~ p104(X76)
| p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X77)
| p5(X77)
| ~ p104(X77)
| ~ p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X78)
| ~ p4(X78)
| ~ p103(X78)
| p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X79)
| p4(X79)
| ~ p103(X79)
| ~ p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X80)
| ~ p3(X80)
| ~ p102(X80)
| p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X81)
| p3(X81)
| ~ p102(X81)
| ~ p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X82)
| ~ p2(X82)
| ~ p101(X82)
| p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X83)
| p2(X83)
| ~ p101(X83)
| ~ p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X84)
| ~ p1(X84)
| ~ p100(X84)
| p1(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X85)
| p1(X85)
| ~ p100(X85)
| ~ p1(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p120(X3)
| ~ p121(X3)
| ~ epred1_1(X3) )
& ( p119(X3)
| ~ p120(X3)
| ~ epred1_1(X3) )
& ( p118(X3)
| ~ p119(X3)
| ~ epred1_1(X3) )
& ( p117(X3)
| ~ p118(X3)
| ~ epred1_1(X3) )
& ( p116(X3)
| ~ p117(X3)
| ~ epred1_1(X3) )
& ( p115(X3)
| ~ p116(X3)
| ~ epred1_1(X3) )
& ( p114(X3)
| ~ p115(X3)
| ~ epred1_1(X3) )
& ( p113(X3)
| ~ p114(X3)
| ~ epred1_1(X3) )
& ( p112(X3)
| ~ p113(X3)
| ~ epred1_1(X3) )
& ( p111(X3)
| ~ p112(X3)
| ~ epred1_1(X3) )
& ( p110(X3)
| ~ p111(X3)
| ~ epred1_1(X3) )
& ( p109(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( p108(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p107(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p106(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p105(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p104(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p103(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p102(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p101(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p100(X3)
| ~ p101(X3)
| ~ epred1_1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
fof(c_0_5_006,negated_conjecture,
! [X4,X5] :
( ( ~ r1(esk1_0,X4)
| p8(X4) )
& ( ~ r1(esk1_0,X5)
| epred1_1(X5) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6_007,plain,
( p21(X1)
| ~ epred1_1(X1)
| ~ p120(X1)
| ~ p120(X2)
| ~ p21(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7_008,plain,
( p21(X2)
| ~ epred1_1(X1)
| ~ p120(X1)
| ~ p21(X1)
| ~ p120(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8_009,plain,
( p20(X1)
| ~ epred1_1(X1)
| ~ p119(X1)
| ~ p119(X2)
| ~ p20(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9_010,plain,
( p20(X2)
| ~ epred1_1(X1)
| ~ p119(X1)
| ~ p20(X1)
| ~ p119(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( p19(X1)
| ~ epred1_1(X1)
| ~ p118(X1)
| ~ p118(X2)
| ~ p19(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( p19(X2)
| ~ epred1_1(X1)
| ~ p118(X1)
| ~ p19(X1)
| ~ p118(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,plain,
( p18(X1)
| ~ epred1_1(X1)
| ~ p117(X1)
| ~ p117(X2)
| ~ p18(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,plain,
( p18(X2)
| ~ epred1_1(X1)
| ~ p117(X1)
| ~ p18(X1)
| ~ p117(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_14,plain,
( p17(X1)
| ~ epred1_1(X1)
| ~ p116(X1)
| ~ p116(X2)
| ~ p17(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( p17(X2)
| ~ epred1_1(X1)
| ~ p116(X1)
| ~ p17(X1)
| ~ p116(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,plain,
( p16(X1)
| ~ epred1_1(X1)
| ~ p115(X1)
| ~ p115(X2)
| ~ p16(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
( p16(X2)
| ~ epred1_1(X1)
| ~ p115(X1)
| ~ p16(X1)
| ~ p115(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,plain,
( p15(X1)
| ~ epred1_1(X1)
| ~ p114(X1)
| ~ p114(X2)
| ~ p15(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_19,plain,
( p15(X2)
| ~ epred1_1(X1)
| ~ p114(X1)
| ~ p15(X1)
| ~ p114(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_20,plain,
( p14(X1)
| ~ epred1_1(X1)
| ~ p113(X1)
| ~ p113(X2)
| ~ p14(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,plain,
( p14(X2)
| ~ epred1_1(X1)
| ~ p113(X1)
| ~ p14(X1)
| ~ p113(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,plain,
( p13(X1)
| ~ epred1_1(X1)
| ~ p112(X1)
| ~ p112(X2)
| ~ p13(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,plain,
( p13(X2)
| ~ epred1_1(X1)
| ~ p112(X1)
| ~ p13(X1)
| ~ p112(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_24,plain,
( p12(X1)
| ~ epred1_1(X1)
| ~ p111(X1)
| ~ p111(X2)
| ~ p12(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,plain,
( p12(X2)
| ~ epred1_1(X1)
| ~ p111(X1)
| ~ p12(X1)
| ~ p111(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,plain,
( p11(X1)
| ~ epred1_1(X1)
| ~ p110(X1)
| ~ p110(X2)
| ~ p11(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,plain,
( p11(X2)
| ~ epred1_1(X1)
| ~ p110(X1)
| ~ p11(X1)
| ~ p110(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_28,plain,
( p10(X1)
| ~ epred1_1(X1)
| ~ p109(X1)
| ~ p109(X2)
| ~ p10(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,plain,
( p10(X2)
| ~ epred1_1(X1)
| ~ p109(X1)
| ~ p10(X1)
| ~ p109(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,plain,
( p9(X1)
| ~ epred1_1(X1)
| ~ p108(X1)
| ~ p108(X2)
| ~ p9(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,plain,
( p9(X2)
| ~ epred1_1(X1)
| ~ p108(X1)
| ~ p9(X1)
| ~ p108(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_32,plain,
( p8(X1)
| ~ epred1_1(X1)
| ~ p107(X1)
| ~ p107(X2)
| ~ p8(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_33,plain,
( p8(X2)
| ~ epred1_1(X1)
| ~ p107(X1)
| ~ p8(X1)
| ~ p107(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_34,plain,
( p7(X1)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ p106(X2)
| ~ p7(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_35,plain,
( p7(X2)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ p7(X1)
| ~ p106(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_36,plain,
( p6(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p105(X2)
| ~ p6(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_37,plain,
( p6(X2)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p6(X1)
| ~ p105(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_38,plain,
( p5(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p104(X2)
| ~ p5(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_39,plain,
( p5(X2)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p5(X1)
| ~ p104(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_40,plain,
( p4(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p103(X2)
| ~ p4(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_41,plain,
( p4(X2)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p4(X1)
| ~ p103(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_42,plain,
( p3(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p102(X2)
| ~ p3(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_43,plain,
( p3(X2)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p3(X1)
| ~ p102(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_44,plain,
( p2(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_45,plain,
( p2(X2)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p2(X1)
| ~ p101(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_46,plain,
( p1(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p100(X2)
| ~ p1(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_47,plain,
( p1(X2)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p1(X1)
| ~ p100(X2)
| ~ r1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_48,plain,
( p120(X1)
| r1(X1,esk2_1(X1))
| ~ epred1_1(X1)
| ~ p119(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_49,plain,
( p120(X1)
| r1(X1,esk3_1(X1))
| ~ epred1_1(X1)
| ~ p119(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_50,plain,
( p119(X1)
| r1(X1,esk4_1(X1))
| ~ epred1_1(X1)
| ~ p118(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_51,plain,
( p119(X1)
| r1(X1,esk5_1(X1))
| ~ epred1_1(X1)
| ~ p118(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_52,plain,
( p118(X1)
| r1(X1,esk6_1(X1))
| ~ epred1_1(X1)
| ~ p117(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_53,plain,
( p118(X1)
| r1(X1,esk7_1(X1))
| ~ epred1_1(X1)
| ~ p117(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_54,plain,
( p117(X1)
| r1(X1,esk8_1(X1))
| ~ epred1_1(X1)
| ~ p116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_55,plain,
( p117(X1)
| r1(X1,esk9_1(X1))
| ~ epred1_1(X1)
| ~ p116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_56,plain,
( p116(X1)
| r1(X1,esk10_1(X1))
| ~ epred1_1(X1)
| ~ p115(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_57,plain,
( p116(X1)
| r1(X1,esk11_1(X1))
| ~ epred1_1(X1)
| ~ p115(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_58,plain,
( p115(X1)
| r1(X1,esk12_1(X1))
| ~ epred1_1(X1)
| ~ p114(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_59,plain,
( p115(X1)
| r1(X1,esk13_1(X1))
| ~ epred1_1(X1)
| ~ p114(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_60,plain,
( p114(X1)
| r1(X1,esk14_1(X1))
| ~ epred1_1(X1)
| ~ p113(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_61,plain,
( p114(X1)
| r1(X1,esk15_1(X1))
| ~ epred1_1(X1)
| ~ p113(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_62,plain,
( p113(X1)
| r1(X1,esk16_1(X1))
| ~ epred1_1(X1)
| ~ p112(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_63,plain,
( p113(X1)
| r1(X1,esk17_1(X1))
| ~ epred1_1(X1)
| ~ p112(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_64,plain,
( p112(X1)
| r1(X1,esk18_1(X1))
| ~ epred1_1(X1)
| ~ p111(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_65,plain,
( p112(X1)
| r1(X1,esk19_1(X1))
| ~ epred1_1(X1)
| ~ p111(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_66,plain,
( p111(X1)
| r1(X1,esk20_1(X1))
| ~ epred1_1(X1)
| ~ p110(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_67,plain,
( p111(X1)
| r1(X1,esk21_1(X1))
| ~ epred1_1(X1)
| ~ p110(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_68,plain,
( p110(X1)
| r1(X1,esk22_1(X1))
| ~ epred1_1(X1)
| ~ p109(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_69,plain,
( p110(X1)
| r1(X1,esk23_1(X1))
| ~ epred1_1(X1)
| ~ p109(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_70,plain,
( p109(X1)
| r1(X1,esk24_1(X1))
| ~ epred1_1(X1)
| ~ p108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_71,plain,
( p109(X1)
| r1(X1,esk25_1(X1))
| ~ epred1_1(X1)
| ~ p108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_72,plain,
( p108(X1)
| r1(X1,esk26_1(X1))
| ~ epred1_1(X1)
| ~ p107(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_73,plain,
( p108(X1)
| r1(X1,esk27_1(X1))
| ~ epred1_1(X1)
| ~ p107(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_74,plain,
( p107(X1)
| r1(X1,esk28_1(X1))
| ~ epred1_1(X1)
| ~ p106(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_75,plain,
( p107(X1)
| r1(X1,esk29_1(X1))
| ~ epred1_1(X1)
| ~ p106(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_76,plain,
( p106(X1)
| r1(X1,esk30_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_77,plain,
( p106(X1)
| r1(X1,esk31_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_78,plain,
( p105(X1)
| r1(X1,esk32_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_79,plain,
( p105(X1)
| r1(X1,esk33_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_80,plain,
( p104(X1)
| r1(X1,esk34_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_81,plain,
( p104(X1)
| r1(X1,esk35_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_82,plain,
( p103(X1)
| r1(X1,esk36_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_83,plain,
( p103(X1)
| r1(X1,esk37_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_84,plain,
( p102(X1)
| r1(X1,esk38_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_85,plain,
( p102(X1)
| r1(X1,esk39_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_86,plain,
( p101(X1)
| r1(X1,esk40_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_87,plain,
( p101(X1)
| r1(X1,esk41_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_88,plain,
( p120(X1)
| ~ epred1_1(X1)
| ~ p119(X1)
| ~ p21(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_89,plain,
( p120(X1)
| ~ epred1_1(X1)
| ~ p119(X1)
| ~ p121(esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_90,plain,
( p120(X1)
| ~ epred1_1(X1)
| ~ p119(X1)
| ~ p121(esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_91,plain,
( p119(X1)
| ~ epred1_1(X1)
| ~ p118(X1)
| ~ p20(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_92,plain,
( p119(X1)
| ~ epred1_1(X1)
| ~ p118(X1)
| ~ p120(esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_93,plain,
( p119(X1)
| ~ epred1_1(X1)
| ~ p118(X1)
| ~ p120(esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_94,plain,
( p118(X1)
| ~ epred1_1(X1)
| ~ p117(X1)
| ~ p19(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_95,plain,
( p118(X1)
| ~ epred1_1(X1)
| ~ p117(X1)
| ~ p119(esk6_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_96,plain,
( p118(X1)
| ~ epred1_1(X1)
| ~ p117(X1)
| ~ p119(esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_97,plain,
( p117(X1)
| ~ epred1_1(X1)
| ~ p116(X1)
| ~ p18(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_98,plain,
( p117(X1)
| ~ epred1_1(X1)
| ~ p116(X1)
| ~ p118(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_99,plain,
( p117(X1)
| ~ epred1_1(X1)
| ~ p116(X1)
| ~ p118(esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_100,plain,
( p116(X1)
| ~ epred1_1(X1)
| ~ p115(X1)
| ~ p17(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_101,plain,
( p116(X1)
| ~ epred1_1(X1)
| ~ p115(X1)
| ~ p117(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_102,plain,
( p116(X1)
| ~ epred1_1(X1)
| ~ p115(X1)
| ~ p117(esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_103,plain,
( p115(X1)
| ~ epred1_1(X1)
| ~ p114(X1)
| ~ p16(esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_104,plain,
( p115(X1)
| ~ epred1_1(X1)
| ~ p114(X1)
| ~ p116(esk12_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_105,plain,
( p115(X1)
| ~ epred1_1(X1)
| ~ p114(X1)
| ~ p116(esk13_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_106,plain,
( p114(X1)
| ~ epred1_1(X1)
| ~ p113(X1)
| ~ p15(esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_107,plain,
( p114(X1)
| ~ epred1_1(X1)
| ~ p113(X1)
| ~ p115(esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_108,plain,
( p114(X1)
| ~ epred1_1(X1)
| ~ p113(X1)
| ~ p115(esk15_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_109,plain,
( p113(X1)
| ~ epred1_1(X1)
| ~ p112(X1)
| ~ p14(esk16_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_110,plain,
( p113(X1)
| ~ epred1_1(X1)
| ~ p112(X1)
| ~ p114(esk16_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_111,plain,
( p113(X1)
| ~ epred1_1(X1)
| ~ p112(X1)
| ~ p114(esk17_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_112,plain,
( p112(X1)
| ~ epred1_1(X1)
| ~ p111(X1)
| ~ p13(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_113,plain,
( p112(X1)
| ~ epred1_1(X1)
| ~ p111(X1)
| ~ p113(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_114,plain,
( p112(X1)
| ~ epred1_1(X1)
| ~ p111(X1)
| ~ p113(esk19_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_115,plain,
( p111(X1)
| ~ epred1_1(X1)
| ~ p110(X1)
| ~ p12(esk20_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_116,plain,
( p111(X1)
| ~ epred1_1(X1)
| ~ p110(X1)
| ~ p112(esk20_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_117,plain,
( p111(X1)
| ~ epred1_1(X1)
| ~ p110(X1)
| ~ p112(esk21_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_118,plain,
( p110(X1)
| ~ epred1_1(X1)
| ~ p109(X1)
| ~ p11(esk22_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_119,plain,
( p110(X1)
| ~ epred1_1(X1)
| ~ p109(X1)
| ~ p111(esk22_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_120,plain,
( p110(X1)
| ~ epred1_1(X1)
| ~ p109(X1)
| ~ p111(esk23_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_121,plain,
( p109(X1)
| ~ epred1_1(X1)
| ~ p108(X1)
| ~ p10(esk24_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_122,plain,
( p109(X1)
| ~ epred1_1(X1)
| ~ p108(X1)
| ~ p110(esk24_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_123,plain,
( p109(X1)
| ~ epred1_1(X1)
| ~ p108(X1)
| ~ p110(esk25_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_124,plain,
( p108(X1)
| ~ epred1_1(X1)
| ~ p107(X1)
| ~ p9(esk26_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_125,plain,
( p108(X1)
| ~ epred1_1(X1)
| ~ p107(X1)
| ~ p109(esk26_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_126,plain,
( p108(X1)
| ~ epred1_1(X1)
| ~ p107(X1)
| ~ p109(esk27_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_127,plain,
( p107(X1)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ p8(esk28_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_128,plain,
( p107(X1)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ p108(esk28_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_129,plain,
( p107(X1)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ p108(esk29_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_130,plain,
( p106(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p7(esk30_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_131,plain,
( p106(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p107(esk30_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_132,plain,
( p106(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p107(esk31_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_133,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p6(esk32_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_134,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p106(esk32_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_135,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p106(esk33_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_136,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p5(esk34_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_137,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p105(esk34_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_138,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p105(esk35_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_139,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p4(esk36_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_140,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk36_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_141,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk37_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_142,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p3(esk38_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_143,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk38_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_144,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk39_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_145,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p2(esk40_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_146,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk40_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_147,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk41_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_148,plain,
( p120(X1)
| p120(esk2_1(X1))
| ~ epred1_1(X1)
| ~ p119(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_149,plain,
( p120(X1)
| p21(esk3_1(X1))
| ~ epred1_1(X1)
| ~ p119(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_150,plain,
( p120(X1)
| p120(esk3_1(X1))
| ~ epred1_1(X1)
| ~ p119(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_151,plain,
( p119(X1)
| p119(esk4_1(X1))
| ~ epred1_1(X1)
| ~ p118(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_152,plain,
( p119(X1)
| p20(esk5_1(X1))
| ~ epred1_1(X1)
| ~ p118(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_153,plain,
( p119(X1)
| p119(esk5_1(X1))
| ~ epred1_1(X1)
| ~ p118(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_154,plain,
( p118(X1)
| p118(esk6_1(X1))
| ~ epred1_1(X1)
| ~ p117(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_155,plain,
( p118(X1)
| p19(esk7_1(X1))
| ~ epred1_1(X1)
| ~ p117(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_156,plain,
( p118(X1)
| p118(esk7_1(X1))
| ~ epred1_1(X1)
| ~ p117(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_157,plain,
( p117(X1)
| p117(esk8_1(X1))
| ~ epred1_1(X1)
| ~ p116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_158,plain,
( p117(X1)
| p18(esk9_1(X1))
| ~ epred1_1(X1)
| ~ p116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_159,plain,
( p117(X1)
| p117(esk9_1(X1))
| ~ epred1_1(X1)
| ~ p116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_160,plain,
( p116(X1)
| p116(esk10_1(X1))
| ~ epred1_1(X1)
| ~ p115(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_161,plain,
( p116(X1)
| p17(esk11_1(X1))
| ~ epred1_1(X1)
| ~ p115(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_162,plain,
( p116(X1)
| p116(esk11_1(X1))
| ~ epred1_1(X1)
| ~ p115(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_163,plain,
( p115(X1)
| p115(esk12_1(X1))
| ~ epred1_1(X1)
| ~ p114(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_164,plain,
( p115(X1)
| p16(esk13_1(X1))
| ~ epred1_1(X1)
| ~ p114(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_165,plain,
( p115(X1)
| p115(esk13_1(X1))
| ~ epred1_1(X1)
| ~ p114(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_166,plain,
( p114(X1)
| p114(esk14_1(X1))
| ~ epred1_1(X1)
| ~ p113(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_167,plain,
( p114(X1)
| p15(esk15_1(X1))
| ~ epred1_1(X1)
| ~ p113(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_168,plain,
( p114(X1)
| p114(esk15_1(X1))
| ~ epred1_1(X1)
| ~ p113(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_169,plain,
( p113(X1)
| p113(esk16_1(X1))
| ~ epred1_1(X1)
| ~ p112(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_170,plain,
( p113(X1)
| p14(esk17_1(X1))
| ~ epred1_1(X1)
| ~ p112(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_171,plain,
( p113(X1)
| p113(esk17_1(X1))
| ~ epred1_1(X1)
| ~ p112(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_172,plain,
( p112(X1)
| p112(esk18_1(X1))
| ~ epred1_1(X1)
| ~ p111(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_173,plain,
( p112(X1)
| p13(esk19_1(X1))
| ~ epred1_1(X1)
| ~ p111(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_174,plain,
( p112(X1)
| p112(esk19_1(X1))
| ~ epred1_1(X1)
| ~ p111(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_175,plain,
( p111(X1)
| p111(esk20_1(X1))
| ~ epred1_1(X1)
| ~ p110(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_176,plain,
( p111(X1)
| p12(esk21_1(X1))
| ~ epred1_1(X1)
| ~ p110(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_177,plain,
( p111(X1)
| p111(esk21_1(X1))
| ~ epred1_1(X1)
| ~ p110(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_178,plain,
( p110(X1)
| p110(esk22_1(X1))
| ~ epred1_1(X1)
| ~ p109(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_179,plain,
( p110(X1)
| p11(esk23_1(X1))
| ~ epred1_1(X1)
| ~ p109(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_180,plain,
( p110(X1)
| p110(esk23_1(X1))
| ~ epred1_1(X1)
| ~ p109(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_181,plain,
( p109(X1)
| p109(esk24_1(X1))
| ~ epred1_1(X1)
| ~ p108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_182,plain,
( p109(X1)
| p10(esk25_1(X1))
| ~ epred1_1(X1)
| ~ p108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_183,plain,
( p109(X1)
| p109(esk25_1(X1))
| ~ epred1_1(X1)
| ~ p108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_184,plain,
( p108(X1)
| p108(esk26_1(X1))
| ~ epred1_1(X1)
| ~ p107(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_185,plain,
( p108(X1)
| p9(esk27_1(X1))
| ~ epred1_1(X1)
| ~ p107(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_186,plain,
( p108(X1)
| p108(esk27_1(X1))
| ~ epred1_1(X1)
| ~ p107(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_187,plain,
( p107(X1)
| p107(esk28_1(X1))
| ~ epred1_1(X1)
| ~ p106(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_188,plain,
( p107(X1)
| p8(esk29_1(X1))
| ~ epred1_1(X1)
| ~ p106(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_189,plain,
( p107(X1)
| p107(esk29_1(X1))
| ~ epred1_1(X1)
| ~ p106(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_190,plain,
( p106(X1)
| p106(esk30_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_191,plain,
( p106(X1)
| p7(esk31_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_192,plain,
( p106(X1)
| p106(esk31_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_193,plain,
( p105(X1)
| p105(esk32_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_194,plain,
( p105(X1)
| p6(esk33_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_195,plain,
( p105(X1)
| p105(esk33_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_196,plain,
( p104(X1)
| p104(esk34_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_197,plain,
( p104(X1)
| p5(esk35_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_198,plain,
( p104(X1)
| p104(esk35_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_199,plain,
( p103(X1)
| p103(esk36_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_200,plain,
( p103(X1)
| p4(esk37_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_201,plain,
( p103(X1)
| p103(esk37_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_202,plain,
( p102(X1)
| p102(esk38_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_203,plain,
( p102(X1)
| p3(esk39_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_204,plain,
( p102(X1)
| p102(esk39_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_205,plain,
( p101(X1)
| p101(esk40_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_206,plain,
( p101(X1)
| p2(esk41_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_207,plain,
( p101(X1)
| p101(esk41_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_208,negated_conjecture,
( p8(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_209,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_210,plain,
( p120(X1)
| ~ epred1_1(X1)
| ~ p121(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_211,plain,
( p119(X1)
| ~ epred1_1(X1)
| ~ p120(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_212,plain,
( p118(X1)
| ~ epred1_1(X1)
| ~ p119(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_213,plain,
( p117(X1)
| ~ epred1_1(X1)
| ~ p118(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_214,plain,
( p116(X1)
| ~ epred1_1(X1)
| ~ p117(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_215,plain,
( p115(X1)
| ~ epred1_1(X1)
| ~ p116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_216,plain,
( p114(X1)
| ~ epred1_1(X1)
| ~ p115(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_217,plain,
( p113(X1)
| ~ epred1_1(X1)
| ~ p114(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_218,plain,
( p112(X1)
| ~ epred1_1(X1)
| ~ p113(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_219,plain,
( p111(X1)
| ~ epred1_1(X1)
| ~ p112(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_220,plain,
( p110(X1)
| ~ epred1_1(X1)
| ~ p111(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_221,plain,
( p109(X1)
| ~ epred1_1(X1)
| ~ p110(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_222,plain,
( p108(X1)
| ~ epred1_1(X1)
| ~ p109(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_223,plain,
( p107(X1)
| ~ epred1_1(X1)
| ~ p108(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_224,plain,
( p106(X1)
| ~ epred1_1(X1)
| ~ p107(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_225,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p106(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_226,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p105(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_227,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p104(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_228,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_229,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_230,plain,
( p100(X1)
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_231,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_232,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_233,plain,
( p21(X1)
| ~ epred1_1(X1)
| ~ p120(X1)
| ~ p120(X2)
| ~ p21(X2)
| ~ r1(X1,X2) ),
c_0_6,
[final] ).
cnf(c_0_234,plain,
( p21(X2)
| ~ epred1_1(X1)
| ~ p120(X1)
| ~ p21(X1)
| ~ p120(X2)
| ~ r1(X1,X2) ),
c_0_7,
[final] ).
cnf(c_0_235,plain,
( p20(X1)
| ~ epred1_1(X1)
| ~ p119(X1)
| ~ p119(X2)
| ~ p20(X2)
| ~ r1(X1,X2) ),
c_0_8,
[final] ).
cnf(c_0_236,plain,
( p20(X2)
| ~ epred1_1(X1)
| ~ p119(X1)
| ~ p20(X1)
| ~ p119(X2)
| ~ r1(X1,X2) ),
c_0_9,
[final] ).
cnf(c_0_237,plain,
( p19(X1)
| ~ epred1_1(X1)
| ~ p118(X1)
| ~ p118(X2)
| ~ p19(X2)
| ~ r1(X1,X2) ),
c_0_10,
[final] ).
cnf(c_0_238,plain,
( p19(X2)
| ~ epred1_1(X1)
| ~ p118(X1)
| ~ p19(X1)
| ~ p118(X2)
| ~ r1(X1,X2) ),
c_0_11,
[final] ).
cnf(c_0_239,plain,
( p18(X1)
| ~ epred1_1(X1)
| ~ p117(X1)
| ~ p117(X2)
| ~ p18(X2)
| ~ r1(X1,X2) ),
c_0_12,
[final] ).
cnf(c_0_240,plain,
( p18(X2)
| ~ epred1_1(X1)
| ~ p117(X1)
| ~ p18(X1)
| ~ p117(X2)
| ~ r1(X1,X2) ),
c_0_13,
[final] ).
cnf(c_0_241,plain,
( p17(X1)
| ~ epred1_1(X1)
| ~ p116(X1)
| ~ p116(X2)
| ~ p17(X2)
| ~ r1(X1,X2) ),
c_0_14,
[final] ).
cnf(c_0_242,plain,
( p17(X2)
| ~ epred1_1(X1)
| ~ p116(X1)
| ~ p17(X1)
| ~ p116(X2)
| ~ r1(X1,X2) ),
c_0_15,
[final] ).
cnf(c_0_243,plain,
( p16(X1)
| ~ epred1_1(X1)
| ~ p115(X1)
| ~ p115(X2)
| ~ p16(X2)
| ~ r1(X1,X2) ),
c_0_16,
[final] ).
cnf(c_0_244,plain,
( p16(X2)
| ~ epred1_1(X1)
| ~ p115(X1)
| ~ p16(X1)
| ~ p115(X2)
| ~ r1(X1,X2) ),
c_0_17,
[final] ).
cnf(c_0_245,plain,
( p15(X1)
| ~ epred1_1(X1)
| ~ p114(X1)
| ~ p114(X2)
| ~ p15(X2)
| ~ r1(X1,X2) ),
c_0_18,
[final] ).
cnf(c_0_246,plain,
( p15(X2)
| ~ epred1_1(X1)
| ~ p114(X1)
| ~ p15(X1)
| ~ p114(X2)
| ~ r1(X1,X2) ),
c_0_19,
[final] ).
cnf(c_0_247,plain,
( p14(X1)
| ~ epred1_1(X1)
| ~ p113(X1)
| ~ p113(X2)
| ~ p14(X2)
| ~ r1(X1,X2) ),
c_0_20,
[final] ).
cnf(c_0_248,plain,
( p14(X2)
| ~ epred1_1(X1)
| ~ p113(X1)
| ~ p14(X1)
| ~ p113(X2)
| ~ r1(X1,X2) ),
c_0_21,
[final] ).
cnf(c_0_249,plain,
( p13(X1)
| ~ epred1_1(X1)
| ~ p112(X1)
| ~ p112(X2)
| ~ p13(X2)
| ~ r1(X1,X2) ),
c_0_22,
[final] ).
cnf(c_0_250,plain,
( p13(X2)
| ~ epred1_1(X1)
| ~ p112(X1)
| ~ p13(X1)
| ~ p112(X2)
| ~ r1(X1,X2) ),
c_0_23,
[final] ).
cnf(c_0_251,plain,
( p12(X1)
| ~ epred1_1(X1)
| ~ p111(X1)
| ~ p111(X2)
| ~ p12(X2)
| ~ r1(X1,X2) ),
c_0_24,
[final] ).
cnf(c_0_252,plain,
( p12(X2)
| ~ epred1_1(X1)
| ~ p111(X1)
| ~ p12(X1)
| ~ p111(X2)
| ~ r1(X1,X2) ),
c_0_25,
[final] ).
cnf(c_0_253,plain,
( p11(X1)
| ~ epred1_1(X1)
| ~ p110(X1)
| ~ p110(X2)
| ~ p11(X2)
| ~ r1(X1,X2) ),
c_0_26,
[final] ).
cnf(c_0_254,plain,
( p11(X2)
| ~ epred1_1(X1)
| ~ p110(X1)
| ~ p11(X1)
| ~ p110(X2)
| ~ r1(X1,X2) ),
c_0_27,
[final] ).
cnf(c_0_255,plain,
( p10(X1)
| ~ epred1_1(X1)
| ~ p109(X1)
| ~ p109(X2)
| ~ p10(X2)
| ~ r1(X1,X2) ),
c_0_28,
[final] ).
cnf(c_0_256,plain,
( p10(X2)
| ~ epred1_1(X1)
| ~ p109(X1)
| ~ p10(X1)
| ~ p109(X2)
| ~ r1(X1,X2) ),
c_0_29,
[final] ).
cnf(c_0_257,plain,
( p9(X1)
| ~ epred1_1(X1)
| ~ p108(X1)
| ~ p108(X2)
| ~ p9(X2)
| ~ r1(X1,X2) ),
c_0_30,
[final] ).
cnf(c_0_258,plain,
( p9(X2)
| ~ epred1_1(X1)
| ~ p108(X1)
| ~ p9(X1)
| ~ p108(X2)
| ~ r1(X1,X2) ),
c_0_31,
[final] ).
cnf(c_0_259,plain,
( p8(X1)
| ~ epred1_1(X1)
| ~ p107(X1)
| ~ p107(X2)
| ~ p8(X2)
| ~ r1(X1,X2) ),
c_0_32,
[final] ).
cnf(c_0_260,plain,
( p8(X2)
| ~ epred1_1(X1)
| ~ p107(X1)
| ~ p8(X1)
| ~ p107(X2)
| ~ r1(X1,X2) ),
c_0_33,
[final] ).
cnf(c_0_261,plain,
( p7(X1)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ p106(X2)
| ~ p7(X2)
| ~ r1(X1,X2) ),
c_0_34,
[final] ).
cnf(c_0_262,plain,
( p7(X2)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ p7(X1)
| ~ p106(X2)
| ~ r1(X1,X2) ),
c_0_35,
[final] ).
cnf(c_0_263,plain,
( p6(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p105(X2)
| ~ p6(X2)
| ~ r1(X1,X2) ),
c_0_36,
[final] ).
cnf(c_0_264,plain,
( p6(X2)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p6(X1)
| ~ p105(X2)
| ~ r1(X1,X2) ),
c_0_37,
[final] ).
cnf(c_0_265,plain,
( p5(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p104(X2)
| ~ p5(X2)
| ~ r1(X1,X2) ),
c_0_38,
[final] ).
cnf(c_0_266,plain,
( p5(X2)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p5(X1)
| ~ p104(X2)
| ~ r1(X1,X2) ),
c_0_39,
[final] ).
cnf(c_0_267,plain,
( p4(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p103(X2)
| ~ p4(X2)
| ~ r1(X1,X2) ),
c_0_40,
[final] ).
cnf(c_0_268,plain,
( p4(X2)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p4(X1)
| ~ p103(X2)
| ~ r1(X1,X2) ),
c_0_41,
[final] ).
cnf(c_0_269,plain,
( p3(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p102(X2)
| ~ p3(X2)
| ~ r1(X1,X2) ),
c_0_42,
[final] ).
cnf(c_0_270,plain,
( p3(X2)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p3(X1)
| ~ p102(X2)
| ~ r1(X1,X2) ),
c_0_43,
[final] ).
cnf(c_0_271,plain,
( p2(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p101(X2)
| ~ p2(X2)
| ~ r1(X1,X2) ),
c_0_44,
[final] ).
cnf(c_0_272,plain,
( p2(X2)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p2(X1)
| ~ p101(X2)
| ~ r1(X1,X2) ),
c_0_45,
[final] ).
cnf(c_0_273,plain,
( p1(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p100(X2)
| ~ p1(X2)
| ~ r1(X1,X2) ),
c_0_46,
[final] ).
cnf(c_0_274,plain,
( p1(X2)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p1(X1)
| ~ p100(X2)
| ~ r1(X1,X2) ),
c_0_47,
[final] ).
cnf(c_0_275,plain,
( p120(X1)
| r1(X1,esk2_1(X1))
| ~ epred1_1(X1)
| ~ p119(X1) ),
c_0_48,
[final] ).
cnf(c_0_276,plain,
( p120(X1)
| r1(X1,esk3_1(X1))
| ~ epred1_1(X1)
| ~ p119(X1) ),
c_0_49,
[final] ).
cnf(c_0_277,plain,
( p119(X1)
| r1(X1,esk4_1(X1))
| ~ epred1_1(X1)
| ~ p118(X1) ),
c_0_50,
[final] ).
cnf(c_0_278,plain,
( p119(X1)
| r1(X1,esk5_1(X1))
| ~ epred1_1(X1)
| ~ p118(X1) ),
c_0_51,
[final] ).
cnf(c_0_279,plain,
( p118(X1)
| r1(X1,esk6_1(X1))
| ~ epred1_1(X1)
| ~ p117(X1) ),
c_0_52,
[final] ).
cnf(c_0_280,plain,
( p118(X1)
| r1(X1,esk7_1(X1))
| ~ epred1_1(X1)
| ~ p117(X1) ),
c_0_53,
[final] ).
cnf(c_0_281,plain,
( p117(X1)
| r1(X1,esk8_1(X1))
| ~ epred1_1(X1)
| ~ p116(X1) ),
c_0_54,
[final] ).
cnf(c_0_282,plain,
( p117(X1)
| r1(X1,esk9_1(X1))
| ~ epred1_1(X1)
| ~ p116(X1) ),
c_0_55,
[final] ).
cnf(c_0_283,plain,
( p116(X1)
| r1(X1,esk10_1(X1))
| ~ epred1_1(X1)
| ~ p115(X1) ),
c_0_56,
[final] ).
cnf(c_0_284,plain,
( p116(X1)
| r1(X1,esk11_1(X1))
| ~ epred1_1(X1)
| ~ p115(X1) ),
c_0_57,
[final] ).
cnf(c_0_285,plain,
( p115(X1)
| r1(X1,esk12_1(X1))
| ~ epred1_1(X1)
| ~ p114(X1) ),
c_0_58,
[final] ).
cnf(c_0_286,plain,
( p115(X1)
| r1(X1,esk13_1(X1))
| ~ epred1_1(X1)
| ~ p114(X1) ),
c_0_59,
[final] ).
cnf(c_0_287,plain,
( p114(X1)
| r1(X1,esk14_1(X1))
| ~ epred1_1(X1)
| ~ p113(X1) ),
c_0_60,
[final] ).
cnf(c_0_288,plain,
( p114(X1)
| r1(X1,esk15_1(X1))
| ~ epred1_1(X1)
| ~ p113(X1) ),
c_0_61,
[final] ).
cnf(c_0_289,plain,
( p113(X1)
| r1(X1,esk16_1(X1))
| ~ epred1_1(X1)
| ~ p112(X1) ),
c_0_62,
[final] ).
cnf(c_0_290,plain,
( p113(X1)
| r1(X1,esk17_1(X1))
| ~ epred1_1(X1)
| ~ p112(X1) ),
c_0_63,
[final] ).
cnf(c_0_291,plain,
( p112(X1)
| r1(X1,esk18_1(X1))
| ~ epred1_1(X1)
| ~ p111(X1) ),
c_0_64,
[final] ).
cnf(c_0_292,plain,
( p112(X1)
| r1(X1,esk19_1(X1))
| ~ epred1_1(X1)
| ~ p111(X1) ),
c_0_65,
[final] ).
cnf(c_0_293,plain,
( p111(X1)
| r1(X1,esk20_1(X1))
| ~ epred1_1(X1)
| ~ p110(X1) ),
c_0_66,
[final] ).
cnf(c_0_294,plain,
( p111(X1)
| r1(X1,esk21_1(X1))
| ~ epred1_1(X1)
| ~ p110(X1) ),
c_0_67,
[final] ).
cnf(c_0_295,plain,
( p110(X1)
| r1(X1,esk22_1(X1))
| ~ epred1_1(X1)
| ~ p109(X1) ),
c_0_68,
[final] ).
cnf(c_0_296,plain,
( p110(X1)
| r1(X1,esk23_1(X1))
| ~ epred1_1(X1)
| ~ p109(X1) ),
c_0_69,
[final] ).
cnf(c_0_297,plain,
( p109(X1)
| r1(X1,esk24_1(X1))
| ~ epred1_1(X1)
| ~ p108(X1) ),
c_0_70,
[final] ).
cnf(c_0_298,plain,
( p109(X1)
| r1(X1,esk25_1(X1))
| ~ epred1_1(X1)
| ~ p108(X1) ),
c_0_71,
[final] ).
cnf(c_0_299,plain,
( p108(X1)
| r1(X1,esk26_1(X1))
| ~ epred1_1(X1)
| ~ p107(X1) ),
c_0_72,
[final] ).
cnf(c_0_300,plain,
( p108(X1)
| r1(X1,esk27_1(X1))
| ~ epred1_1(X1)
| ~ p107(X1) ),
c_0_73,
[final] ).
cnf(c_0_301,plain,
( p107(X1)
| r1(X1,esk28_1(X1))
| ~ epred1_1(X1)
| ~ p106(X1) ),
c_0_74,
[final] ).
cnf(c_0_302,plain,
( p107(X1)
| r1(X1,esk29_1(X1))
| ~ epred1_1(X1)
| ~ p106(X1) ),
c_0_75,
[final] ).
cnf(c_0_303,plain,
( p106(X1)
| r1(X1,esk30_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
c_0_76,
[final] ).
cnf(c_0_304,plain,
( p106(X1)
| r1(X1,esk31_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
c_0_77,
[final] ).
cnf(c_0_305,plain,
( p105(X1)
| r1(X1,esk32_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_78,
[final] ).
cnf(c_0_306,plain,
( p105(X1)
| r1(X1,esk33_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_79,
[final] ).
cnf(c_0_307,plain,
( p104(X1)
| r1(X1,esk34_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_80,
[final] ).
cnf(c_0_308,plain,
( p104(X1)
| r1(X1,esk35_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_81,
[final] ).
cnf(c_0_309,plain,
( p103(X1)
| r1(X1,esk36_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_82,
[final] ).
cnf(c_0_310,plain,
( p103(X1)
| r1(X1,esk37_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_83,
[final] ).
cnf(c_0_311,plain,
( p102(X1)
| r1(X1,esk38_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_84,
[final] ).
cnf(c_0_312,plain,
( p102(X1)
| r1(X1,esk39_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_85,
[final] ).
cnf(c_0_313,plain,
( p101(X1)
| r1(X1,esk40_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
c_0_86,
[final] ).
cnf(c_0_314,plain,
( p101(X1)
| r1(X1,esk41_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
c_0_87,
[final] ).
cnf(c_0_315,plain,
( p120(X1)
| ~ epred1_1(X1)
| ~ p119(X1)
| ~ p21(esk2_1(X1)) ),
c_0_88,
[final] ).
cnf(c_0_316,plain,
( p120(X1)
| ~ epred1_1(X1)
| ~ p119(X1)
| ~ p121(esk2_1(X1)) ),
c_0_89,
[final] ).
cnf(c_0_317,plain,
( p120(X1)
| ~ epred1_1(X1)
| ~ p119(X1)
| ~ p121(esk3_1(X1)) ),
c_0_90,
[final] ).
cnf(c_0_318,plain,
( p119(X1)
| ~ epred1_1(X1)
| ~ p118(X1)
| ~ p20(esk4_1(X1)) ),
c_0_91,
[final] ).
cnf(c_0_319,plain,
( p119(X1)
| ~ epred1_1(X1)
| ~ p118(X1)
| ~ p120(esk4_1(X1)) ),
c_0_92,
[final] ).
cnf(c_0_320,plain,
( p119(X1)
| ~ epred1_1(X1)
| ~ p118(X1)
| ~ p120(esk5_1(X1)) ),
c_0_93,
[final] ).
cnf(c_0_321,plain,
( p118(X1)
| ~ epred1_1(X1)
| ~ p117(X1)
| ~ p19(esk6_1(X1)) ),
c_0_94,
[final] ).
cnf(c_0_322,plain,
( p118(X1)
| ~ epred1_1(X1)
| ~ p117(X1)
| ~ p119(esk6_1(X1)) ),
c_0_95,
[final] ).
cnf(c_0_323,plain,
( p118(X1)
| ~ epred1_1(X1)
| ~ p117(X1)
| ~ p119(esk7_1(X1)) ),
c_0_96,
[final] ).
cnf(c_0_324,plain,
( p117(X1)
| ~ epred1_1(X1)
| ~ p116(X1)
| ~ p18(esk8_1(X1)) ),
c_0_97,
[final] ).
cnf(c_0_325,plain,
( p117(X1)
| ~ epred1_1(X1)
| ~ p116(X1)
| ~ p118(esk8_1(X1)) ),
c_0_98,
[final] ).
cnf(c_0_326,plain,
( p117(X1)
| ~ epred1_1(X1)
| ~ p116(X1)
| ~ p118(esk9_1(X1)) ),
c_0_99,
[final] ).
cnf(c_0_327,plain,
( p116(X1)
| ~ epred1_1(X1)
| ~ p115(X1)
| ~ p17(esk10_1(X1)) ),
c_0_100,
[final] ).
cnf(c_0_328,plain,
( p116(X1)
| ~ epred1_1(X1)
| ~ p115(X1)
| ~ p117(esk10_1(X1)) ),
c_0_101,
[final] ).
cnf(c_0_329,plain,
( p116(X1)
| ~ epred1_1(X1)
| ~ p115(X1)
| ~ p117(esk11_1(X1)) ),
c_0_102,
[final] ).
cnf(c_0_330,plain,
( p115(X1)
| ~ epred1_1(X1)
| ~ p114(X1)
| ~ p16(esk12_1(X1)) ),
c_0_103,
[final] ).
cnf(c_0_331,plain,
( p115(X1)
| ~ epred1_1(X1)
| ~ p114(X1)
| ~ p116(esk12_1(X1)) ),
c_0_104,
[final] ).
cnf(c_0_332,plain,
( p115(X1)
| ~ epred1_1(X1)
| ~ p114(X1)
| ~ p116(esk13_1(X1)) ),
c_0_105,
[final] ).
cnf(c_0_333,plain,
( p114(X1)
| ~ epred1_1(X1)
| ~ p113(X1)
| ~ p15(esk14_1(X1)) ),
c_0_106,
[final] ).
cnf(c_0_334,plain,
( p114(X1)
| ~ epred1_1(X1)
| ~ p113(X1)
| ~ p115(esk14_1(X1)) ),
c_0_107,
[final] ).
cnf(c_0_335,plain,
( p114(X1)
| ~ epred1_1(X1)
| ~ p113(X1)
| ~ p115(esk15_1(X1)) ),
c_0_108,
[final] ).
cnf(c_0_336,plain,
( p113(X1)
| ~ epred1_1(X1)
| ~ p112(X1)
| ~ p14(esk16_1(X1)) ),
c_0_109,
[final] ).
cnf(c_0_337,plain,
( p113(X1)
| ~ epred1_1(X1)
| ~ p112(X1)
| ~ p114(esk16_1(X1)) ),
c_0_110,
[final] ).
cnf(c_0_338,plain,
( p113(X1)
| ~ epred1_1(X1)
| ~ p112(X1)
| ~ p114(esk17_1(X1)) ),
c_0_111,
[final] ).
cnf(c_0_339,plain,
( p112(X1)
| ~ epred1_1(X1)
| ~ p111(X1)
| ~ p13(esk18_1(X1)) ),
c_0_112,
[final] ).
cnf(c_0_340,plain,
( p112(X1)
| ~ epred1_1(X1)
| ~ p111(X1)
| ~ p113(esk18_1(X1)) ),
c_0_113,
[final] ).
cnf(c_0_341,plain,
( p112(X1)
| ~ epred1_1(X1)
| ~ p111(X1)
| ~ p113(esk19_1(X1)) ),
c_0_114,
[final] ).
cnf(c_0_342,plain,
( p111(X1)
| ~ epred1_1(X1)
| ~ p110(X1)
| ~ p12(esk20_1(X1)) ),
c_0_115,
[final] ).
cnf(c_0_343,plain,
( p111(X1)
| ~ epred1_1(X1)
| ~ p110(X1)
| ~ p112(esk20_1(X1)) ),
c_0_116,
[final] ).
cnf(c_0_344,plain,
( p111(X1)
| ~ epred1_1(X1)
| ~ p110(X1)
| ~ p112(esk21_1(X1)) ),
c_0_117,
[final] ).
cnf(c_0_345,plain,
( p110(X1)
| ~ epred1_1(X1)
| ~ p109(X1)
| ~ p11(esk22_1(X1)) ),
c_0_118,
[final] ).
cnf(c_0_346,plain,
( p110(X1)
| ~ epred1_1(X1)
| ~ p109(X1)
| ~ p111(esk22_1(X1)) ),
c_0_119,
[final] ).
cnf(c_0_347,plain,
( p110(X1)
| ~ epred1_1(X1)
| ~ p109(X1)
| ~ p111(esk23_1(X1)) ),
c_0_120,
[final] ).
cnf(c_0_348,plain,
( p109(X1)
| ~ epred1_1(X1)
| ~ p108(X1)
| ~ p10(esk24_1(X1)) ),
c_0_121,
[final] ).
cnf(c_0_349,plain,
( p109(X1)
| ~ epred1_1(X1)
| ~ p108(X1)
| ~ p110(esk24_1(X1)) ),
c_0_122,
[final] ).
cnf(c_0_350,plain,
( p109(X1)
| ~ epred1_1(X1)
| ~ p108(X1)
| ~ p110(esk25_1(X1)) ),
c_0_123,
[final] ).
cnf(c_0_351,plain,
( p108(X1)
| ~ epred1_1(X1)
| ~ p107(X1)
| ~ p9(esk26_1(X1)) ),
c_0_124,
[final] ).
cnf(c_0_352,plain,
( p108(X1)
| ~ epred1_1(X1)
| ~ p107(X1)
| ~ p109(esk26_1(X1)) ),
c_0_125,
[final] ).
cnf(c_0_353,plain,
( p108(X1)
| ~ epred1_1(X1)
| ~ p107(X1)
| ~ p109(esk27_1(X1)) ),
c_0_126,
[final] ).
cnf(c_0_354,plain,
( p107(X1)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ p8(esk28_1(X1)) ),
c_0_127,
[final] ).
cnf(c_0_355,plain,
( p107(X1)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ p108(esk28_1(X1)) ),
c_0_128,
[final] ).
cnf(c_0_356,plain,
( p107(X1)
| ~ epred1_1(X1)
| ~ p106(X1)
| ~ p108(esk29_1(X1)) ),
c_0_129,
[final] ).
cnf(c_0_357,plain,
( p106(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p7(esk30_1(X1)) ),
c_0_130,
[final] ).
cnf(c_0_358,plain,
( p106(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p107(esk30_1(X1)) ),
c_0_131,
[final] ).
cnf(c_0_359,plain,
( p106(X1)
| ~ epred1_1(X1)
| ~ p105(X1)
| ~ p107(esk31_1(X1)) ),
c_0_132,
[final] ).
cnf(c_0_360,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p6(esk32_1(X1)) ),
c_0_133,
[final] ).
cnf(c_0_361,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p106(esk32_1(X1)) ),
c_0_134,
[final] ).
cnf(c_0_362,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p104(X1)
| ~ p106(esk33_1(X1)) ),
c_0_135,
[final] ).
cnf(c_0_363,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p5(esk34_1(X1)) ),
c_0_136,
[final] ).
cnf(c_0_364,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p105(esk34_1(X1)) ),
c_0_137,
[final] ).
cnf(c_0_365,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p105(esk35_1(X1)) ),
c_0_138,
[final] ).
cnf(c_0_366,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p4(esk36_1(X1)) ),
c_0_139,
[final] ).
cnf(c_0_367,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk36_1(X1)) ),
c_0_140,
[final] ).
cnf(c_0_368,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk37_1(X1)) ),
c_0_141,
[final] ).
cnf(c_0_369,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p3(esk38_1(X1)) ),
c_0_142,
[final] ).
cnf(c_0_370,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk38_1(X1)) ),
c_0_143,
[final] ).
cnf(c_0_371,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk39_1(X1)) ),
c_0_144,
[final] ).
cnf(c_0_372,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p2(esk40_1(X1)) ),
c_0_145,
[final] ).
cnf(c_0_373,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk40_1(X1)) ),
c_0_146,
[final] ).
cnf(c_0_374,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk41_1(X1)) ),
c_0_147,
[final] ).
cnf(c_0_375,plain,
( p120(X1)
| p120(esk2_1(X1))
| ~ epred1_1(X1)
| ~ p119(X1) ),
c_0_148,
[final] ).
cnf(c_0_376,plain,
( p120(X1)
| p21(esk3_1(X1))
| ~ epred1_1(X1)
| ~ p119(X1) ),
c_0_149,
[final] ).
cnf(c_0_377,plain,
( p120(X1)
| p120(esk3_1(X1))
| ~ epred1_1(X1)
| ~ p119(X1) ),
c_0_150,
[final] ).
cnf(c_0_378,plain,
( p119(X1)
| p119(esk4_1(X1))
| ~ epred1_1(X1)
| ~ p118(X1) ),
c_0_151,
[final] ).
cnf(c_0_379,plain,
( p119(X1)
| p20(esk5_1(X1))
| ~ epred1_1(X1)
| ~ p118(X1) ),
c_0_152,
[final] ).
cnf(c_0_380,plain,
( p119(X1)
| p119(esk5_1(X1))
| ~ epred1_1(X1)
| ~ p118(X1) ),
c_0_153,
[final] ).
cnf(c_0_381,plain,
( p118(X1)
| p118(esk6_1(X1))
| ~ epred1_1(X1)
| ~ p117(X1) ),
c_0_154,
[final] ).
cnf(c_0_382,plain,
( p118(X1)
| p19(esk7_1(X1))
| ~ epred1_1(X1)
| ~ p117(X1) ),
c_0_155,
[final] ).
cnf(c_0_383,plain,
( p118(X1)
| p118(esk7_1(X1))
| ~ epred1_1(X1)
| ~ p117(X1) ),
c_0_156,
[final] ).
cnf(c_0_384,plain,
( p117(X1)
| p117(esk8_1(X1))
| ~ epred1_1(X1)
| ~ p116(X1) ),
c_0_157,
[final] ).
cnf(c_0_385,plain,
( p117(X1)
| p18(esk9_1(X1))
| ~ epred1_1(X1)
| ~ p116(X1) ),
c_0_158,
[final] ).
cnf(c_0_386,plain,
( p117(X1)
| p117(esk9_1(X1))
| ~ epred1_1(X1)
| ~ p116(X1) ),
c_0_159,
[final] ).
cnf(c_0_387,plain,
( p116(X1)
| p116(esk10_1(X1))
| ~ epred1_1(X1)
| ~ p115(X1) ),
c_0_160,
[final] ).
cnf(c_0_388,plain,
( p116(X1)
| p17(esk11_1(X1))
| ~ epred1_1(X1)
| ~ p115(X1) ),
c_0_161,
[final] ).
cnf(c_0_389,plain,
( p116(X1)
| p116(esk11_1(X1))
| ~ epred1_1(X1)
| ~ p115(X1) ),
c_0_162,
[final] ).
cnf(c_0_390,plain,
( p115(X1)
| p115(esk12_1(X1))
| ~ epred1_1(X1)
| ~ p114(X1) ),
c_0_163,
[final] ).
cnf(c_0_391,plain,
( p115(X1)
| p16(esk13_1(X1))
| ~ epred1_1(X1)
| ~ p114(X1) ),
c_0_164,
[final] ).
cnf(c_0_392,plain,
( p115(X1)
| p115(esk13_1(X1))
| ~ epred1_1(X1)
| ~ p114(X1) ),
c_0_165,
[final] ).
cnf(c_0_393,plain,
( p114(X1)
| p114(esk14_1(X1))
| ~ epred1_1(X1)
| ~ p113(X1) ),
c_0_166,
[final] ).
cnf(c_0_394,plain,
( p114(X1)
| p15(esk15_1(X1))
| ~ epred1_1(X1)
| ~ p113(X1) ),
c_0_167,
[final] ).
cnf(c_0_395,plain,
( p114(X1)
| p114(esk15_1(X1))
| ~ epred1_1(X1)
| ~ p113(X1) ),
c_0_168,
[final] ).
cnf(c_0_396,plain,
( p113(X1)
| p113(esk16_1(X1))
| ~ epred1_1(X1)
| ~ p112(X1) ),
c_0_169,
[final] ).
cnf(c_0_397,plain,
( p113(X1)
| p14(esk17_1(X1))
| ~ epred1_1(X1)
| ~ p112(X1) ),
c_0_170,
[final] ).
cnf(c_0_398,plain,
( p113(X1)
| p113(esk17_1(X1))
| ~ epred1_1(X1)
| ~ p112(X1) ),
c_0_171,
[final] ).
cnf(c_0_399,plain,
( p112(X1)
| p112(esk18_1(X1))
| ~ epred1_1(X1)
| ~ p111(X1) ),
c_0_172,
[final] ).
cnf(c_0_400,plain,
( p112(X1)
| p13(esk19_1(X1))
| ~ epred1_1(X1)
| ~ p111(X1) ),
c_0_173,
[final] ).
cnf(c_0_401,plain,
( p112(X1)
| p112(esk19_1(X1))
| ~ epred1_1(X1)
| ~ p111(X1) ),
c_0_174,
[final] ).
cnf(c_0_402,plain,
( p111(X1)
| p111(esk20_1(X1))
| ~ epred1_1(X1)
| ~ p110(X1) ),
c_0_175,
[final] ).
cnf(c_0_403,plain,
( p111(X1)
| p12(esk21_1(X1))
| ~ epred1_1(X1)
| ~ p110(X1) ),
c_0_176,
[final] ).
cnf(c_0_404,plain,
( p111(X1)
| p111(esk21_1(X1))
| ~ epred1_1(X1)
| ~ p110(X1) ),
c_0_177,
[final] ).
cnf(c_0_405,plain,
( p110(X1)
| p110(esk22_1(X1))
| ~ epred1_1(X1)
| ~ p109(X1) ),
c_0_178,
[final] ).
cnf(c_0_406,plain,
( p110(X1)
| p11(esk23_1(X1))
| ~ epred1_1(X1)
| ~ p109(X1) ),
c_0_179,
[final] ).
cnf(c_0_407,plain,
( p110(X1)
| p110(esk23_1(X1))
| ~ epred1_1(X1)
| ~ p109(X1) ),
c_0_180,
[final] ).
cnf(c_0_408,plain,
( p109(X1)
| p109(esk24_1(X1))
| ~ epred1_1(X1)
| ~ p108(X1) ),
c_0_181,
[final] ).
cnf(c_0_409,plain,
( p109(X1)
| p10(esk25_1(X1))
| ~ epred1_1(X1)
| ~ p108(X1) ),
c_0_182,
[final] ).
cnf(c_0_410,plain,
( p109(X1)
| p109(esk25_1(X1))
| ~ epred1_1(X1)
| ~ p108(X1) ),
c_0_183,
[final] ).
cnf(c_0_411,plain,
( p108(X1)
| p108(esk26_1(X1))
| ~ epred1_1(X1)
| ~ p107(X1) ),
c_0_184,
[final] ).
cnf(c_0_412,plain,
( p108(X1)
| p9(esk27_1(X1))
| ~ epred1_1(X1)
| ~ p107(X1) ),
c_0_185,
[final] ).
cnf(c_0_413,plain,
( p108(X1)
| p108(esk27_1(X1))
| ~ epred1_1(X1)
| ~ p107(X1) ),
c_0_186,
[final] ).
cnf(c_0_414,plain,
( p107(X1)
| p107(esk28_1(X1))
| ~ epred1_1(X1)
| ~ p106(X1) ),
c_0_187,
[final] ).
cnf(c_0_415,plain,
( p107(X1)
| p8(esk29_1(X1))
| ~ epred1_1(X1)
| ~ p106(X1) ),
c_0_188,
[final] ).
cnf(c_0_416,plain,
( p107(X1)
| p107(esk29_1(X1))
| ~ epred1_1(X1)
| ~ p106(X1) ),
c_0_189,
[final] ).
cnf(c_0_417,plain,
( p106(X1)
| p106(esk30_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
c_0_190,
[final] ).
cnf(c_0_418,plain,
( p106(X1)
| p7(esk31_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
c_0_191,
[final] ).
cnf(c_0_419,plain,
( p106(X1)
| p106(esk31_1(X1))
| ~ epred1_1(X1)
| ~ p105(X1) ),
c_0_192,
[final] ).
cnf(c_0_420,plain,
( p105(X1)
| p105(esk32_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_193,
[final] ).
cnf(c_0_421,plain,
( p105(X1)
| p6(esk33_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_194,
[final] ).
cnf(c_0_422,plain,
( p105(X1)
| p105(esk33_1(X1))
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_195,
[final] ).
cnf(c_0_423,plain,
( p104(X1)
| p104(esk34_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_196,
[final] ).
cnf(c_0_424,plain,
( p104(X1)
| p5(esk35_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_197,
[final] ).
cnf(c_0_425,plain,
( p104(X1)
| p104(esk35_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_198,
[final] ).
cnf(c_0_426,plain,
( p103(X1)
| p103(esk36_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_199,
[final] ).
cnf(c_0_427,plain,
( p103(X1)
| p4(esk37_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_200,
[final] ).
cnf(c_0_428,plain,
( p103(X1)
| p103(esk37_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_201,
[final] ).
cnf(c_0_429,plain,
( p102(X1)
| p102(esk38_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_202,
[final] ).
cnf(c_0_430,plain,
( p102(X1)
| p3(esk39_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_203,
[final] ).
cnf(c_0_431,plain,
( p102(X1)
| p102(esk39_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_204,
[final] ).
cnf(c_0_432,plain,
( p101(X1)
| p101(esk40_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
c_0_205,
[final] ).
cnf(c_0_433,plain,
( p101(X1)
| p2(esk41_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
c_0_206,
[final] ).
cnf(c_0_434,plain,
( p101(X1)
| p101(esk41_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
c_0_207,
[final] ).
cnf(c_0_435,negated_conjecture,
( p8(X1)
| ~ r1(esk1_0,X1) ),
c_0_208,
[final] ).
cnf(c_0_436,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
c_0_209,
[final] ).
cnf(c_0_437,plain,
( p120(X1)
| ~ epred1_1(X1)
| ~ p121(X1) ),
c_0_210,
[final] ).
cnf(c_0_438,plain,
( p119(X1)
| ~ epred1_1(X1)
| ~ p120(X1) ),
c_0_211,
[final] ).
cnf(c_0_439,plain,
( p118(X1)
| ~ epred1_1(X1)
| ~ p119(X1) ),
c_0_212,
[final] ).
cnf(c_0_440,plain,
( p117(X1)
| ~ epred1_1(X1)
| ~ p118(X1) ),
c_0_213,
[final] ).
cnf(c_0_441,plain,
( p116(X1)
| ~ epred1_1(X1)
| ~ p117(X1) ),
c_0_214,
[final] ).
cnf(c_0_442,plain,
( p115(X1)
| ~ epred1_1(X1)
| ~ p116(X1) ),
c_0_215,
[final] ).
cnf(c_0_443,plain,
( p114(X1)
| ~ epred1_1(X1)
| ~ p115(X1) ),
c_0_216,
[final] ).
cnf(c_0_444,plain,
( p113(X1)
| ~ epred1_1(X1)
| ~ p114(X1) ),
c_0_217,
[final] ).
cnf(c_0_445,plain,
( p112(X1)
| ~ epred1_1(X1)
| ~ p113(X1) ),
c_0_218,
[final] ).
cnf(c_0_446,plain,
( p111(X1)
| ~ epred1_1(X1)
| ~ p112(X1) ),
c_0_219,
[final] ).
cnf(c_0_447,plain,
( p110(X1)
| ~ epred1_1(X1)
| ~ p111(X1) ),
c_0_220,
[final] ).
cnf(c_0_448,plain,
( p109(X1)
| ~ epred1_1(X1)
| ~ p110(X1) ),
c_0_221,
[final] ).
cnf(c_0_449,plain,
( p108(X1)
| ~ epred1_1(X1)
| ~ p109(X1) ),
c_0_222,
[final] ).
cnf(c_0_450,plain,
( p107(X1)
| ~ epred1_1(X1)
| ~ p108(X1) ),
c_0_223,
[final] ).
cnf(c_0_451,plain,
( p106(X1)
| ~ epred1_1(X1)
| ~ p107(X1) ),
c_0_224,
[final] ).
cnf(c_0_452,plain,
( p105(X1)
| ~ epred1_1(X1)
| ~ p106(X1) ),
c_0_225,
[final] ).
cnf(c_0_453,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p105(X1) ),
c_0_226,
[final] ).
cnf(c_0_454,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p104(X1) ),
c_0_227,
[final] ).
cnf(c_0_455,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p103(X1) ),
c_0_228,
[final] ).
cnf(c_0_456,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p102(X1) ),
c_0_229,
[final] ).
cnf(c_0_457,plain,
( p100(X1)
| ~ epred1_1(X1)
| ~ p101(X1) ),
c_0_230,
[final] ).
cnf(c_0_458,negated_conjecture,
~ p101(esk1_0),
c_0_231,
[final] ).
cnf(c_0_459,negated_conjecture,
p100(esk1_0),
c_0_232,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_123,plain,
( ~ epred1_1(X0)
| ~ p8(sk3_esk28_1(X0))
| p107(X0)
| ~ p106(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_354) ).
cnf(c_646,plain,
( ~ epred1_1(X0)
| ~ p8(sk3_esk28_1(X0))
| p107(X0)
| ~ p106(X0) ),
inference(copy,[status(esa)],[c_123]) ).
cnf(c_987,plain,
( ~ epred1_1(X0)
| ~ p8(sk3_esk28_1(X0))
| p107(X0)
| ~ p106(X0) ),
inference(copy,[status(esa)],[c_646]) ).
cnf(c_1198,plain,
( ~ epred1_1(X0)
| ~ p8(sk3_esk28_1(X0))
| p107(X0)
| ~ p106(X0) ),
inference(copy,[status(esa)],[c_987]) ).
cnf(c_1439,plain,
( ~ epred1_1(X0)
| ~ p8(sk3_esk28_1(X0))
| p107(X0)
| ~ p106(X0) ),
inference(copy,[status(esa)],[c_1198]) ).
cnf(c_2012,plain,
( ~ epred1_1(X0)
| ~ p8(sk3_esk28_1(X0))
| p107(X0)
| ~ p106(X0) ),
inference(copy,[status(esa)],[c_1439]) ).
cnf(c_70,plain,
( r1(X0,sk3_esk28_1(X0))
| ~ epred1_1(X0)
| p107(X0)
| ~ p106(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_301) ).
cnf(c_540,plain,
( r1(X0,sk3_esk28_1(X0))
| ~ epred1_1(X0)
| p107(X0)
| ~ p106(X0) ),
inference(copy,[status(esa)],[c_70]) ).
cnf(c_934,plain,
( r1(X0,sk3_esk28_1(X0))
| ~ epred1_1(X0)
| p107(X0)
| ~ p106(X0) ),
inference(copy,[status(esa)],[c_540]) ).
cnf(c_1251,plain,
( r1(X0,sk3_esk28_1(X0))
| ~ epred1_1(X0)
| p107(X0)
| ~ p106(X0) ),
inference(copy,[status(esa)],[c_934]) ).
cnf(c_1388,plain,
( r1(X0,sk3_esk28_1(X0))
| ~ epred1_1(X0)
| p107(X0)
| ~ p106(X0) ),
inference(copy,[status(esa)],[c_1251]) ).
cnf(c_1910,plain,
( r1(X0,sk3_esk28_1(X0))
| ~ epred1_1(X0)
| p107(X0)
| ~ p106(X0) ),
inference(copy,[status(esa)],[c_1388]) ).
cnf(c_204,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| p8(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_435) ).
cnf(c_850,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| p8(X0) ),
inference(copy,[status(esa)],[c_204]) ).
cnf(c_1068,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| p8(X0) ),
inference(copy,[status(esa)],[c_850]) ).
cnf(c_1117,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| p8(X0) ),
inference(copy,[status(esa)],[c_1068]) ).
cnf(c_1520,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| p8(X0) ),
inference(copy,[status(esa)],[c_1117]) ).
cnf(c_2174,plain,
( ~ r1(sk3_esk1_0,X0)
| p8(X0) ),
inference(copy,[status(esa)],[c_1520]) ).
cnf(c_1,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_8_0) ).
cnf(c_1772,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(copy,[status(esa)],[c_1]) ).
cnf(c_2232,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p8(X1) ),
inference(resolution,[status(thm)],[c_2174,c_1772]) ).
cnf(c_2233,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p8(X1) ),
inference(rewriting,[status(thm)],[c_2232]) ).
cnf(c_46080,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p8(sk3_esk28_1(X0))
| p107(X0)
| ~ p106(X0) ),
inference(resolution,[status(thm)],[c_1910,c_2233]) ).
cnf(c_46081,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p8(sk3_esk28_1(X0))
| p107(X0)
| ~ p106(X0) ),
inference(rewriting,[status(thm)],[c_46080]) ).
cnf(c_205,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_436) ).
cnf(c_852,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
inference(copy,[status(esa)],[c_205]) ).
cnf(c_1069,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
inference(copy,[status(esa)],[c_852]) ).
cnf(c_1116,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
inference(copy,[status(esa)],[c_1069]) ).
cnf(c_1521,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
inference(copy,[status(esa)],[c_1116]) ).
cnf(c_2176,negated_conjecture,
( ~ r1(sk3_esk1_0,X0)
| epred1_1(X0) ),
inference(copy,[status(esa)],[c_1521]) ).
cnf(c_48161,plain,
( ~ r1(sk3_esk1_0,X0)
| p8(sk3_esk28_1(X0))
| p107(X0)
| ~ p106(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46081,c_2176]) ).
cnf(c_48162,plain,
( ~ r1(sk3_esk1_0,X0)
| p8(sk3_esk28_1(X0))
| p107(X0)
| ~ p106(X0) ),
inference(rewriting,[status(thm)],[c_48161]) ).
cnf(c_59836,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p107(X0)
| ~ p106(X0) ),
inference(resolution,[status(thm)],[c_2012,c_48162]) ).
cnf(c_59837,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p107(X0)
| ~ p106(X0) ),
inference(rewriting,[status(thm)],[c_59836]) ).
cnf(c_59862,plain,
( ~ r1(sk3_esk1_0,X0)
| p107(X0)
| ~ p106(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59837,c_2176]) ).
cnf(c_59863,plain,
( ~ r1(sk3_esk1_0,X0)
| p107(X0)
| ~ p106(X0) ),
inference(rewriting,[status(thm)],[c_59862]) ).
cnf(c_59869,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p107(X1)
| ~ p106(X1) ),
inference(resolution,[status(thm)],[c_59863,c_1772]) ).
cnf(c_59870,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p107(X1)
| ~ p106(X1) ),
inference(rewriting,[status(thm)],[c_59869]) ).
cnf(c_59961,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p107(X2)
| ~ p106(X2) ),
inference(resolution,[status(thm)],[c_59870,c_1772]) ).
cnf(c_59962,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p107(X2)
| ~ p106(X2) ),
inference(rewriting,[status(thm)],[c_59961]) ).
cnf(c_72,plain,
( r1(X0,sk3_esk30_1(X0))
| ~ epred1_1(X0)
| p106(X0)
| ~ p105(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_303) ).
cnf(c_544,plain,
( r1(X0,sk3_esk30_1(X0))
| ~ epred1_1(X0)
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_72]) ).
cnf(c_936,plain,
( r1(X0,sk3_esk30_1(X0))
| ~ epred1_1(X0)
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_544]) ).
cnf(c_1249,plain,
( r1(X0,sk3_esk30_1(X0))
| ~ epred1_1(X0)
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_936]) ).
cnf(c_1390,plain,
( r1(X0,sk3_esk30_1(X0))
| ~ epred1_1(X0)
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_1249]) ).
cnf(c_1914,plain,
( r1(X0,sk3_esk30_1(X0))
| ~ epred1_1(X0)
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_1390]) ).
cnf(c_60343,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| ~ epred1_1(X1)
| p107(sk3_esk30_1(X1))
| ~ p106(sk3_esk30_1(X1))
| p106(X1)
| ~ p105(X1) ),
inference(resolution,[status(thm)],[c_59962,c_1914]) ).
cnf(c_60344,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| ~ epred1_1(X1)
| p107(sk3_esk30_1(X1))
| ~ p106(sk3_esk30_1(X1))
| p106(X1)
| ~ p105(X1) ),
inference(rewriting,[status(thm)],[c_60343]) ).
cnf(c_2240,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| epred1_1(X1) ),
inference(resolution,[status(thm)],[c_2176,c_1772]) ).
cnf(c_2241,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| epred1_1(X1) ),
inference(rewriting,[status(thm)],[c_2240]) ).
cnf(c_135807,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p107(sk3_esk30_1(X1))
| ~ p106(sk3_esk30_1(X1))
| p106(X1)
| ~ p105(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_60344,c_2241]) ).
cnf(c_135808,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p107(sk3_esk30_1(X1))
| ~ p106(sk3_esk30_1(X1))
| p106(X1)
| ~ p105(X1) ),
inference(rewriting,[status(thm)],[c_135807]) ).
cnf(c_186,plain,
( ~ epred1_1(X0)
| p106(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_417) ).
cnf(c_772,plain,
( ~ epred1_1(X0)
| p106(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_186]) ).
cnf(c_1050,plain,
( ~ epred1_1(X0)
| p106(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_772]) ).
cnf(c_1135,plain,
( ~ epred1_1(X0)
| p106(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_1050]) ).
cnf(c_1502,plain,
( ~ epred1_1(X0)
| p106(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_1135]) ).
cnf(c_2138,plain,
( ~ epred1_1(X0)
| p106(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_1502]) ).
cnf(c_135817,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| ~ epred1_1(X1)
| p107(sk3_esk30_1(X1))
| p106(X1)
| ~ p105(X1) ),
inference(resolution,[status(thm)],[c_135808,c_2138]) ).
cnf(c_135818,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| ~ epred1_1(X1)
| p107(sk3_esk30_1(X1))
| p106(X1)
| ~ p105(X1) ),
inference(rewriting,[status(thm)],[c_135817]) ).
cnf(c_135825,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p107(sk3_esk30_1(X1))
| p106(X1)
| ~ p105(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_135818,c_2241]) ).
cnf(c_135826,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p107(sk3_esk30_1(X1))
| p106(X1)
| ~ p105(X1) ),
inference(rewriting,[status(thm)],[c_135825]) ).
cnf(c_0,plain,
r1(X0,X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_9_0) ).
cnf(c_1770,plain,
r1(X0,X0),
inference(copy,[status(esa)],[c_0]) ).
cnf(c_135832,plain,
( ~ r1(sk3_esk1_0,X0)
| p107(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(resolution,[status(thm)],[c_135826,c_1770]) ).
cnf(c_135833,plain,
( ~ r1(sk3_esk1_0,X0)
| p107(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(rewriting,[status(thm)],[c_135832]) ).
cnf(c_127,plain,
( ~ epred1_1(X0)
| ~ p107(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_358) ).
cnf(c_654,plain,
( ~ epred1_1(X0)
| ~ p107(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_127]) ).
cnf(c_991,plain,
( ~ epred1_1(X0)
| ~ p107(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_654]) ).
cnf(c_1194,plain,
( ~ epred1_1(X0)
| ~ p107(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_991]) ).
cnf(c_1443,plain,
( ~ epred1_1(X0)
| ~ p107(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_1194]) ).
cnf(c_2020,plain,
( ~ epred1_1(X0)
| ~ p107(sk3_esk30_1(X0))
| p106(X0)
| ~ p105(X0) ),
inference(copy,[status(esa)],[c_1443]) ).
cnf(c_502612,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p106(X0)
| ~ p105(X0) ),
inference(resolution,[status(thm)],[c_135833,c_2020]) ).
cnf(c_502613,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p106(X0)
| ~ p105(X0) ),
inference(rewriting,[status(thm)],[c_502612]) ).
cnf(c_502618,plain,
( ~ r1(sk3_esk1_0,X0)
| p106(X0)
| ~ p105(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502613,c_2176]) ).
cnf(c_502619,plain,
( ~ r1(sk3_esk1_0,X0)
| p106(X0)
| ~ p105(X0) ),
inference(rewriting,[status(thm)],[c_502618]) ).
cnf(c_502625,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p106(X1)
| ~ p105(X1) ),
inference(resolution,[status(thm)],[c_502619,c_1772]) ).
cnf(c_502626,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p106(X1)
| ~ p105(X1) ),
inference(rewriting,[status(thm)],[c_502625]) ).
cnf(c_74,plain,
( r1(X0,sk3_esk32_1(X0))
| ~ epred1_1(X0)
| p105(X0)
| ~ p104(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_305) ).
cnf(c_548,plain,
( r1(X0,sk3_esk32_1(X0))
| ~ epred1_1(X0)
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_74]) ).
cnf(c_938,plain,
( r1(X0,sk3_esk32_1(X0))
| ~ epred1_1(X0)
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_548]) ).
cnf(c_1247,plain,
( r1(X0,sk3_esk32_1(X0))
| ~ epred1_1(X0)
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_938]) ).
cnf(c_1392,plain,
( r1(X0,sk3_esk32_1(X0))
| ~ epred1_1(X0)
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_1247]) ).
cnf(c_1918,plain,
( r1(X0,sk3_esk32_1(X0))
| ~ epred1_1(X0)
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_1392]) ).
cnf(c_502779,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p106(sk3_esk32_1(X0))
| ~ p105(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(resolution,[status(thm)],[c_502626,c_1918]) ).
cnf(c_502780,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p106(sk3_esk32_1(X0))
| ~ p105(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(rewriting,[status(thm)],[c_502779]) ).
cnf(c_503471,plain,
( ~ r1(sk3_esk1_0,X0)
| p106(sk3_esk32_1(X0))
| ~ p105(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502780,c_2176]) ).
cnf(c_503472,plain,
( ~ r1(sk3_esk1_0,X0)
| p106(sk3_esk32_1(X0))
| ~ p105(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(rewriting,[status(thm)],[c_503471]) ).
cnf(c_189,plain,
( ~ epred1_1(X0)
| p105(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_420) ).
cnf(c_778,plain,
( ~ epred1_1(X0)
| p105(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_189]) ).
cnf(c_1053,plain,
( ~ epred1_1(X0)
| p105(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_778]) ).
cnf(c_1132,plain,
( ~ epred1_1(X0)
| p105(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_1053]) ).
cnf(c_1505,plain,
( ~ epred1_1(X0)
| p105(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_1132]) ).
cnf(c_2144,plain,
( ~ epred1_1(X0)
| p105(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_1505]) ).
cnf(c_503480,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p106(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(resolution,[status(thm)],[c_503472,c_2144]) ).
cnf(c_503481,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p106(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(rewriting,[status(thm)],[c_503480]) ).
cnf(c_503487,plain,
( ~ r1(sk3_esk1_0,X0)
| p106(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503481,c_2176]) ).
cnf(c_503488,plain,
( ~ r1(sk3_esk1_0,X0)
| p106(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(rewriting,[status(thm)],[c_503487]) ).
cnf(c_130,plain,
( ~ epred1_1(X0)
| ~ p106(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_361) ).
cnf(c_660,plain,
( ~ epred1_1(X0)
| ~ p106(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_130]) ).
cnf(c_994,plain,
( ~ epred1_1(X0)
| ~ p106(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_660]) ).
cnf(c_1191,plain,
( ~ epred1_1(X0)
| ~ p106(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_994]) ).
cnf(c_1446,plain,
( ~ epred1_1(X0)
| ~ p106(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_1191]) ).
cnf(c_2026,plain,
( ~ epred1_1(X0)
| ~ p106(sk3_esk32_1(X0))
| p105(X0)
| ~ p104(X0) ),
inference(copy,[status(esa)],[c_1446]) ).
cnf(c_503493,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p105(X0)
| ~ p104(X0) ),
inference(resolution,[status(thm)],[c_503488,c_2026]) ).
cnf(c_503494,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p105(X0)
| ~ p104(X0) ),
inference(rewriting,[status(thm)],[c_503493]) ).
cnf(c_503499,plain,
( ~ r1(sk3_esk1_0,X0)
| p105(X0)
| ~ p104(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503494,c_2176]) ).
cnf(c_503500,plain,
( ~ r1(sk3_esk1_0,X0)
| p105(X0)
| ~ p104(X0) ),
inference(rewriting,[status(thm)],[c_503499]) ).
cnf(c_503506,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p105(X1)
| ~ p104(X1) ),
inference(resolution,[status(thm)],[c_503500,c_1772]) ).
cnf(c_503507,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p105(X1)
| ~ p104(X1) ),
inference(rewriting,[status(thm)],[c_503506]) ).
cnf(c_76,plain,
( r1(X0,sk3_esk34_1(X0))
| ~ epred1_1(X0)
| p104(X0)
| ~ p103(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_307) ).
cnf(c_552,plain,
( r1(X0,sk3_esk34_1(X0))
| ~ epred1_1(X0)
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_76]) ).
cnf(c_940,plain,
( r1(X0,sk3_esk34_1(X0))
| ~ epred1_1(X0)
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_552]) ).
cnf(c_1245,plain,
( r1(X0,sk3_esk34_1(X0))
| ~ epred1_1(X0)
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_940]) ).
cnf(c_1394,plain,
( r1(X0,sk3_esk34_1(X0))
| ~ epred1_1(X0)
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_1245]) ).
cnf(c_1922,plain,
( r1(X0,sk3_esk34_1(X0))
| ~ epred1_1(X0)
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_1394]) ).
cnf(c_503664,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p105(sk3_esk34_1(X0))
| ~ p104(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(resolution,[status(thm)],[c_503507,c_1922]) ).
cnf(c_503665,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p105(sk3_esk34_1(X0))
| ~ p104(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(rewriting,[status(thm)],[c_503664]) ).
cnf(c_506424,plain,
( ~ r1(sk3_esk1_0,X0)
| p105(sk3_esk34_1(X0))
| ~ p104(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503665,c_2176]) ).
cnf(c_506425,plain,
( ~ r1(sk3_esk1_0,X0)
| p105(sk3_esk34_1(X0))
| ~ p104(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(rewriting,[status(thm)],[c_506424]) ).
cnf(c_192,plain,
( ~ epred1_1(X0)
| p104(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_423) ).
cnf(c_784,plain,
( ~ epred1_1(X0)
| p104(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_192]) ).
cnf(c_1056,plain,
( ~ epred1_1(X0)
| p104(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_784]) ).
cnf(c_1129,plain,
( ~ epred1_1(X0)
| p104(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_1056]) ).
cnf(c_1508,plain,
( ~ epred1_1(X0)
| p104(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_1129]) ).
cnf(c_2150,plain,
( ~ epred1_1(X0)
| p104(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_1508]) ).
cnf(c_506433,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p105(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(resolution,[status(thm)],[c_506425,c_2150]) ).
cnf(c_506434,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p105(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(rewriting,[status(thm)],[c_506433]) ).
cnf(c_506440,plain,
( ~ r1(sk3_esk1_0,X0)
| p105(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_506434,c_2176]) ).
cnf(c_506441,plain,
( ~ r1(sk3_esk1_0,X0)
| p105(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(rewriting,[status(thm)],[c_506440]) ).
cnf(c_133,plain,
( ~ epred1_1(X0)
| ~ p105(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_364) ).
cnf(c_666,plain,
( ~ epred1_1(X0)
| ~ p105(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_133]) ).
cnf(c_997,plain,
( ~ epred1_1(X0)
| ~ p105(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_666]) ).
cnf(c_1188,plain,
( ~ epred1_1(X0)
| ~ p105(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_997]) ).
cnf(c_1449,plain,
( ~ epred1_1(X0)
| ~ p105(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_1188]) ).
cnf(c_2032,plain,
( ~ epred1_1(X0)
| ~ p105(sk3_esk34_1(X0))
| p104(X0)
| ~ p103(X0) ),
inference(copy,[status(esa)],[c_1449]) ).
cnf(c_506446,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p104(X0)
| ~ p103(X0) ),
inference(resolution,[status(thm)],[c_506441,c_2032]) ).
cnf(c_506447,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p104(X0)
| ~ p103(X0) ),
inference(rewriting,[status(thm)],[c_506446]) ).
cnf(c_506452,plain,
( ~ r1(sk3_esk1_0,X0)
| p104(X0)
| ~ p103(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_506447,c_2176]) ).
cnf(c_506453,plain,
( ~ r1(sk3_esk1_0,X0)
| p104(X0)
| ~ p103(X0) ),
inference(rewriting,[status(thm)],[c_506452]) ).
cnf(c_506459,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p104(X1)
| ~ p103(X1) ),
inference(resolution,[status(thm)],[c_506453,c_1772]) ).
cnf(c_506460,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p104(X1)
| ~ p103(X1) ),
inference(rewriting,[status(thm)],[c_506459]) ).
cnf(c_78,plain,
( r1(X0,sk3_esk36_1(X0))
| ~ epred1_1(X0)
| p103(X0)
| ~ p102(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_309) ).
cnf(c_556,plain,
( r1(X0,sk3_esk36_1(X0))
| ~ epred1_1(X0)
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_78]) ).
cnf(c_942,plain,
( r1(X0,sk3_esk36_1(X0))
| ~ epred1_1(X0)
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_556]) ).
cnf(c_1243,plain,
( r1(X0,sk3_esk36_1(X0))
| ~ epred1_1(X0)
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_942]) ).
cnf(c_1396,plain,
( r1(X0,sk3_esk36_1(X0))
| ~ epred1_1(X0)
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_1243]) ).
cnf(c_1926,plain,
( r1(X0,sk3_esk36_1(X0))
| ~ epred1_1(X0)
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_1396]) ).
cnf(c_506621,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p104(sk3_esk36_1(X0))
| ~ p103(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(resolution,[status(thm)],[c_506460,c_1926]) ).
cnf(c_506622,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p104(sk3_esk36_1(X0))
| ~ p103(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(rewriting,[status(thm)],[c_506621]) ).
cnf(c_507637,plain,
( ~ r1(sk3_esk1_0,X0)
| p104(sk3_esk36_1(X0))
| ~ p103(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_506622,c_2176]) ).
cnf(c_507638,plain,
( ~ r1(sk3_esk1_0,X0)
| p104(sk3_esk36_1(X0))
| ~ p103(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(rewriting,[status(thm)],[c_507637]) ).
cnf(c_195,plain,
( ~ epred1_1(X0)
| p103(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_426) ).
cnf(c_790,plain,
( ~ epred1_1(X0)
| p103(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_195]) ).
cnf(c_1059,plain,
( ~ epred1_1(X0)
| p103(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_790]) ).
cnf(c_1126,plain,
( ~ epred1_1(X0)
| p103(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_1059]) ).
cnf(c_1511,plain,
( ~ epred1_1(X0)
| p103(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_1126]) ).
cnf(c_2156,plain,
( ~ epred1_1(X0)
| p103(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_1511]) ).
cnf(c_507646,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p104(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(resolution,[status(thm)],[c_507638,c_2156]) ).
cnf(c_507647,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p104(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(rewriting,[status(thm)],[c_507646]) ).
cnf(c_507653,plain,
( ~ r1(sk3_esk1_0,X0)
| p104(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_507647,c_2176]) ).
cnf(c_507654,plain,
( ~ r1(sk3_esk1_0,X0)
| p104(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(rewriting,[status(thm)],[c_507653]) ).
cnf(c_136,plain,
( ~ epred1_1(X0)
| ~ p104(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_367) ).
cnf(c_672,plain,
( ~ epred1_1(X0)
| ~ p104(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_136]) ).
cnf(c_1000,plain,
( ~ epred1_1(X0)
| ~ p104(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_672]) ).
cnf(c_1185,plain,
( ~ epred1_1(X0)
| ~ p104(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_1000]) ).
cnf(c_1452,plain,
( ~ epred1_1(X0)
| ~ p104(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_1185]) ).
cnf(c_2038,plain,
( ~ epred1_1(X0)
| ~ p104(sk3_esk36_1(X0))
| p103(X0)
| ~ p102(X0) ),
inference(copy,[status(esa)],[c_1452]) ).
cnf(c_507659,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p103(X0)
| ~ p102(X0) ),
inference(resolution,[status(thm)],[c_507654,c_2038]) ).
cnf(c_507660,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p103(X0)
| ~ p102(X0) ),
inference(rewriting,[status(thm)],[c_507659]) ).
cnf(c_507665,plain,
( ~ r1(sk3_esk1_0,X0)
| p103(X0)
| ~ p102(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_507660,c_2176]) ).
cnf(c_507666,plain,
( ~ r1(sk3_esk1_0,X0)
| p103(X0)
| ~ p102(X0) ),
inference(rewriting,[status(thm)],[c_507665]) ).
cnf(c_507672,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p103(X1)
| ~ p102(X1) ),
inference(resolution,[status(thm)],[c_507666,c_1772]) ).
cnf(c_507673,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ r1(X0,X1)
| p103(X1)
| ~ p102(X1) ),
inference(rewriting,[status(thm)],[c_507672]) ).
cnf(c_80,plain,
( r1(X0,sk3_esk38_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_311) ).
cnf(c_560,plain,
( r1(X0,sk3_esk38_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_80]) ).
cnf(c_944,plain,
( r1(X0,sk3_esk38_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_560]) ).
cnf(c_1241,plain,
( r1(X0,sk3_esk38_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_944]) ).
cnf(c_1398,plain,
( r1(X0,sk3_esk38_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_1241]) ).
cnf(c_1930,plain,
( r1(X0,sk3_esk38_1(X0))
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_1398]) ).
cnf(c_507838,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p103(sk3_esk38_1(X0))
| ~ p102(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(resolution,[status(thm)],[c_507673,c_1930]) ).
cnf(c_507839,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p103(sk3_esk38_1(X0))
| ~ p102(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(rewriting,[status(thm)],[c_507838]) ).
cnf(c_510224,plain,
( ~ r1(sk3_esk1_0,X0)
| p103(sk3_esk38_1(X0))
| ~ p102(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_507839,c_2176]) ).
cnf(c_510225,plain,
( ~ r1(sk3_esk1_0,X0)
| p103(sk3_esk38_1(X0))
| ~ p102(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(rewriting,[status(thm)],[c_510224]) ).
cnf(c_198,plain,
( ~ epred1_1(X0)
| p102(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_429) ).
cnf(c_796,plain,
( ~ epred1_1(X0)
| p102(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_198]) ).
cnf(c_1062,plain,
( ~ epred1_1(X0)
| p102(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_796]) ).
cnf(c_1123,plain,
( ~ epred1_1(X0)
| p102(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_1062]) ).
cnf(c_1514,plain,
( ~ epred1_1(X0)
| p102(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_1123]) ).
cnf(c_2162,plain,
( ~ epred1_1(X0)
| p102(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_1514]) ).
cnf(c_510233,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p103(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(resolution,[status(thm)],[c_510225,c_2162]) ).
cnf(c_510234,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p103(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(rewriting,[status(thm)],[c_510233]) ).
cnf(c_510240,plain,
( ~ r1(sk3_esk1_0,X0)
| p103(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_510234,c_2176]) ).
cnf(c_510241,plain,
( ~ r1(sk3_esk1_0,X0)
| p103(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(rewriting,[status(thm)],[c_510240]) ).
cnf(c_139,plain,
( ~ epred1_1(X0)
| ~ p103(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_370) ).
cnf(c_678,plain,
( ~ epred1_1(X0)
| ~ p103(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_139]) ).
cnf(c_1003,plain,
( ~ epred1_1(X0)
| ~ p103(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_678]) ).
cnf(c_1182,plain,
( ~ epred1_1(X0)
| ~ p103(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_1003]) ).
cnf(c_1455,plain,
( ~ epred1_1(X0)
| ~ p103(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_1182]) ).
cnf(c_2044,plain,
( ~ epred1_1(X0)
| ~ p103(sk3_esk38_1(X0))
| p102(X0)
| ~ p101(X0) ),
inference(copy,[status(esa)],[c_1455]) ).
cnf(c_510246,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(resolution,[status(thm)],[c_510241,c_2044]) ).
cnf(c_510247,plain,
( ~ r1(sk3_esk1_0,X0)
| ~ epred1_1(X0)
| p102(X0)
| ~ p101(X0) ),
inference(rewriting,[status(thm)],[c_510246]) ).
cnf(c_510252,plain,
( ~ r1(sk3_esk1_0,X0)
| p102(X0)
| ~ p101(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_510247,c_2176]) ).
cnf(c_510253,plain,
( ~ r1(sk3_esk1_0,X0)
| p102(X0)
| ~ p101(X0) ),
inference(rewriting,[status(thm)],[c_510252]) ).
cnf(c_82,plain,
( r1(X0,sk3_esk40_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_313) ).
cnf(c_564,plain,
( r1(X0,sk3_esk40_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_82]) ).
cnf(c_946,plain,
( r1(X0,sk3_esk40_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_564]) ).
cnf(c_1239,plain,
( r1(X0,sk3_esk40_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_946]) ).
cnf(c_1400,plain,
( r1(X0,sk3_esk40_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_1239]) ).
cnf(c_1934,plain,
( r1(X0,sk3_esk40_1(X0))
| ~ epred1_1(X0)
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_1400]) ).
cnf(c_510337,plain,
( ~ epred1_1(sk3_esk1_0)
| p102(sk3_esk40_1(sk3_esk1_0))
| ~ p101(sk3_esk40_1(sk3_esk1_0))
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_510253,c_1934]) ).
cnf(c_510338,plain,
( ~ epred1_1(sk3_esk1_0)
| p102(sk3_esk40_1(sk3_esk1_0))
| ~ p101(sk3_esk40_1(sk3_esk1_0))
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_510337]) ).
cnf(c_228,negated_conjecture,
p100(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_459) ).
cnf(c_856,negated_conjecture,
p100(sk3_esk1_0),
inference(copy,[status(esa)],[c_228]) ).
cnf(c_1092,negated_conjecture,
p100(sk3_esk1_0),
inference(copy,[status(esa)],[c_856]) ).
cnf(c_1093,negated_conjecture,
p100(sk3_esk1_0),
inference(copy,[status(esa)],[c_1092]) ).
cnf(c_1543,negated_conjecture,
p100(sk3_esk1_0),
inference(copy,[status(esa)],[c_1093]) ).
cnf(c_2220,negated_conjecture,
p100(sk3_esk1_0),
inference(copy,[status(esa)],[c_1543]) ).
cnf(c_227,negated_conjecture,
~ p101(sk3_esk1_0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_458) ).
cnf(c_854,negated_conjecture,
~ p101(sk3_esk1_0),
inference(copy,[status(esa)],[c_227]) ).
cnf(c_1091,negated_conjecture,
~ p101(sk3_esk1_0),
inference(copy,[status(esa)],[c_854]) ).
cnf(c_1094,negated_conjecture,
~ p101(sk3_esk1_0),
inference(copy,[status(esa)],[c_1091]) ).
cnf(c_1542,negated_conjecture,
~ p101(sk3_esk1_0),
inference(copy,[status(esa)],[c_1094]) ).
cnf(c_2218,plain,
~ p101(sk3_esk1_0),
inference(copy,[status(esa)],[c_1542]) ).
cnf(c_2238,plain,
epred1_1(sk3_esk1_0),
inference(resolution,[status(thm)],[c_2176,c_1770]) ).
cnf(c_2239,plain,
epred1_1(sk3_esk1_0),
inference(rewriting,[status(thm)],[c_2238]) ).
cnf(c_510438,plain,
( p102(sk3_esk40_1(sk3_esk1_0))
| ~ p101(sk3_esk40_1(sk3_esk1_0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_510338,c_2220,c_2218,c_2239]) ).
cnf(c_510439,plain,
( p102(sk3_esk40_1(sk3_esk1_0))
| ~ p101(sk3_esk40_1(sk3_esk1_0)) ),
inference(rewriting,[status(thm)],[c_510438]) ).
cnf(c_201,plain,
( ~ epred1_1(X0)
| p101(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_432) ).
cnf(c_802,plain,
( ~ epred1_1(X0)
| p101(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_201]) ).
cnf(c_1065,plain,
( ~ epred1_1(X0)
| p101(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_802]) ).
cnf(c_1120,plain,
( ~ epred1_1(X0)
| p101(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_1065]) ).
cnf(c_1517,plain,
( ~ epred1_1(X0)
| p101(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_1120]) ).
cnf(c_2168,plain,
( ~ epred1_1(X0)
| p101(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_1517]) ).
cnf(c_510444,plain,
( ~ epred1_1(sk3_esk1_0)
| p102(sk3_esk40_1(sk3_esk1_0))
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_510439,c_2168]) ).
cnf(c_510445,plain,
( ~ epred1_1(sk3_esk1_0)
| p102(sk3_esk40_1(sk3_esk1_0))
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_510444]) ).
cnf(c_510572,plain,
p102(sk3_esk40_1(sk3_esk1_0)),
inference(forward_subsumption_resolution,[status(thm)],[c_510445,c_2220,c_2218,c_2239]) ).
cnf(c_510573,plain,
p102(sk3_esk40_1(sk3_esk1_0)),
inference(rewriting,[status(thm)],[c_510572]) ).
cnf(c_142,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p',c_0_373) ).
cnf(c_684,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_142]) ).
cnf(c_1006,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_684]) ).
cnf(c_1179,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_1006]) ).
cnf(c_1458,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_1179]) ).
cnf(c_2050,plain,
( ~ epred1_1(X0)
| ~ p102(sk3_esk40_1(X0))
| p101(X0)
| ~ p100(X0) ),
inference(copy,[status(esa)],[c_1458]) ).
cnf(c_510575,plain,
( ~ epred1_1(sk3_esk1_0)
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(resolution,[status(thm)],[c_510573,c_2050]) ).
cnf(c_510576,plain,
( ~ epred1_1(sk3_esk1_0)
| p101(sk3_esk1_0)
| ~ p100(sk3_esk1_0) ),
inference(rewriting,[status(thm)],[c_510575]) ).
cnf(c_510580,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_510576,c_2220,c_2218,c_2239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL674+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : iprover_modulo %s %d
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 4 18:23:05 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Running in mono-core mode
% 0.14/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.14/0.42 % FOF problem with conjecture
% 0.14/0.42 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_07fbb8.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_3aec70.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_3a709b | grep -v "SZS"
% 0.14/0.45
% 0.14/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.14/0.45
% 0.14/0.45 %
% 0.14/0.45 % ------ iProver source info
% 0.14/0.45
% 0.14/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.14/0.45 % git: non_committed_changes: true
% 0.14/0.45 % git: last_make_outside_of_git: true
% 0.14/0.45
% 0.14/0.45 %
% 0.14/0.45 % ------ Input Options
% 0.14/0.45
% 0.14/0.45 % --out_options all
% 0.14/0.45 % --tptp_safe_out true
% 0.14/0.45 % --problem_path ""
% 0.14/0.45 % --include_path ""
% 0.14/0.45 % --clausifier .//eprover
% 0.14/0.45 % --clausifier_options --tstp-format
% 0.14/0.45 % --stdin false
% 0.14/0.45 % --dbg_backtrace false
% 0.14/0.45 % --dbg_dump_prop_clauses false
% 0.14/0.45 % --dbg_dump_prop_clauses_file -
% 0.14/0.45 % --dbg_out_stat false
% 0.14/0.45
% 0.14/0.45 % ------ General Options
% 0.14/0.45
% 0.14/0.45 % --fof false
% 0.14/0.45 % --time_out_real 150.
% 0.14/0.45 % --time_out_prep_mult 0.2
% 0.14/0.45 % --time_out_virtual -1.
% 0.14/0.45 % --schedule none
% 0.14/0.45 % --ground_splitting input
% 0.14/0.45 % --splitting_nvd 16
% 0.14/0.45 % --non_eq_to_eq false
% 0.14/0.45 % --prep_gs_sim true
% 0.14/0.45 % --prep_unflatten false
% 0.14/0.45 % --prep_res_sim true
% 0.14/0.45 % --prep_upred true
% 0.14/0.45 % --res_sim_input true
% 0.14/0.45 % --clause_weak_htbl true
% 0.14/0.45 % --gc_record_bc_elim false
% 0.14/0.45 % --symbol_type_check false
% 0.14/0.45 % --clausify_out false
% 0.14/0.45 % --large_theory_mode false
% 0.14/0.45 % --prep_sem_filter none
% 0.14/0.45 % --prep_sem_filter_out false
% 0.14/0.45 % --preprocessed_out false
% 0.14/0.45 % --sub_typing false
% 0.14/0.45 % --brand_transform false
% 0.14/0.45 % --pure_diseq_elim true
% 0.14/0.45 % --min_unsat_core false
% 0.14/0.45 % --pred_elim true
% 0.14/0.45 % --add_important_lit false
% 0.14/0.45 % --soft_assumptions false
% 0.14/0.45 % --reset_solvers false
% 0.14/0.45 % --bc_imp_inh []
% 0.14/0.45 % --conj_cone_tolerance 1.5
% 0.14/0.45 % --prolific_symb_bound 500
% 0.14/0.45 % --lt_threshold 2000
% 0.14/0.45
% 0.14/0.45 % ------ SAT Options
% 0.14/0.45
% 0.14/0.45 % --sat_mode false
% 0.14/0.45 % --sat_fm_restart_options ""
% 0.14/0.45 % --sat_gr_def false
% 0.14/0.45 % --sat_epr_types true
% 0.14/0.45 % --sat_non_cyclic_types false
% 0.14/0.45 % --sat_finite_models false
% 0.14/0.45 % --sat_fm_lemmas false
% 0.14/0.45 % --sat_fm_prep false
% 0.14/0.45 % --sat_fm_uc_incr true
% 0.14/0.45 % --sat_out_model small
% 0.14/0.45 % --sat_out_clauses false
% 0.14/0.45
% 0.14/0.45 % ------ QBF Options
% 0.14/0.45
% 0.14/0.45 % --qbf_mode false
% 0.14/0.45 % --qbf_elim_univ true
% 0.14/0.45 % --qbf_sk_in true
% 0.14/0.45 % --qbf_pred_elim true
% 0.14/0.45 % --qbf_split 32
% 0.14/0.45
% 0.14/0.45 % ------ BMC1 Options
% 0.14/0.45
% 0.14/0.45 % --bmc1_incremental false
% 0.14/0.45 % --bmc1_axioms reachable_all
% 0.14/0.45 % --bmc1_min_bound 0
% 0.14/0.45 % --bmc1_max_bound -1
% 0.14/0.45 % --bmc1_max_bound_default -1
% 0.14/0.45 % --bmc1_symbol_reachability true
% 0.14/0.45 % --bmc1_property_lemmas false
% 0.14/0.45 % --bmc1_k_induction false
% 0.14/0.45 % --bmc1_non_equiv_states false
% 0.14/0.45 % --bmc1_deadlock false
% 0.14/0.45 % --bmc1_ucm false
% 0.14/0.45 % --bmc1_add_unsat_core none
% 0.14/0.45 % --bmc1_unsat_core_children false
% 0.14/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.14/0.45 % --bmc1_out_stat full
% 0.14/0.45 % --bmc1_ground_init false
% 0.14/0.45 % --bmc1_pre_inst_next_state false
% 0.14/0.45 % --bmc1_pre_inst_state false
% 0.14/0.45 % --bmc1_pre_inst_reach_state false
% 0.14/0.45 % --bmc1_out_unsat_core false
% 0.14/0.45 % --bmc1_aig_witness_out false
% 0.14/0.45 % --bmc1_verbose false
% 0.14/0.45 % --bmc1_dump_clauses_tptp false
% 0.23/0.51 % --bmc1_dump_unsat_core_tptp false
% 0.23/0.51 % --bmc1_dump_file -
% 0.23/0.51 % --bmc1_ucm_expand_uc_limit 128
% 0.23/0.51 % --bmc1_ucm_n_expand_iterations 6
% 0.23/0.51 % --bmc1_ucm_extend_mode 1
% 0.23/0.51 % --bmc1_ucm_init_mode 2
% 0.23/0.51 % --bmc1_ucm_cone_mode none
% 0.23/0.51 % --bmc1_ucm_reduced_relation_type 0
% 0.23/0.51 % --bmc1_ucm_relax_model 4
% 0.23/0.51 % --bmc1_ucm_full_tr_after_sat true
% 0.23/0.51 % --bmc1_ucm_expand_neg_assumptions false
% 0.23/0.51 % --bmc1_ucm_layered_model none
% 0.23/0.51 % --bmc1_ucm_max_lemma_size 10
% 0.23/0.51
% 0.23/0.51 % ------ AIG Options
% 0.23/0.51
% 0.23/0.51 % --aig_mode false
% 0.23/0.51
% 0.23/0.51 % ------ Instantiation Options
% 0.23/0.51
% 0.23/0.51 % --instantiation_flag true
% 0.23/0.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.23/0.51 % --inst_solver_per_active 750
% 0.23/0.51 % --inst_solver_calls_frac 0.5
% 0.23/0.51 % --inst_passive_queue_type priority_queues
% 0.23/0.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.23/0.51 % --inst_passive_queues_freq [25;2]
% 0.23/0.51 % --inst_dismatching true
% 0.23/0.51 % --inst_eager_unprocessed_to_passive true
% 0.23/0.51 % --inst_prop_sim_given true
% 0.23/0.51 % --inst_prop_sim_new false
% 0.23/0.51 % --inst_orphan_elimination true
% 0.23/0.51 % --inst_learning_loop_flag true
% 0.23/0.51 % --inst_learning_start 3000
% 0.23/0.51 % --inst_learning_factor 2
% 0.23/0.51 % --inst_start_prop_sim_after_learn 3
% 0.23/0.51 % --inst_sel_renew solver
% 0.23/0.51 % --inst_lit_activity_flag true
% 0.23/0.51 % --inst_out_proof true
% 0.23/0.51
% 0.23/0.51 % ------ Resolution Options
% 0.23/0.51
% 0.23/0.51 % --resolution_flag true
% 0.23/0.51 % --res_lit_sel kbo_max
% 0.23/0.51 % --res_to_prop_solver none
% 0.23/0.51 % --res_prop_simpl_new false
% 0.23/0.51 % --res_prop_simpl_given false
% 0.23/0.51 % --res_passive_queue_type priority_queues
% 0.23/0.51 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.23/0.51 % --res_passive_queues_freq [15;5]
% 0.23/0.51 % --res_forward_subs full
% 0.23/0.51 % --res_backward_subs full
% 0.23/0.51 % --res_forward_subs_resolution true
% 0.23/0.51 % --res_backward_subs_resolution true
% 0.23/0.51 % --res_orphan_elimination false
% 0.23/0.51 % --res_time_limit 1000.
% 0.23/0.51 % --res_out_proof true
% 0.23/0.51 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_07fbb8.s
% 0.23/0.51 % --modulo true
% 0.23/0.51
% 0.23/0.51 % ------ Combination Options
% 0.23/0.51
% 0.23/0.51 % --comb_res_mult 1000
% 0.23/0.51 % --comb_inst_mult 300
% 0.23/0.51 % ------
% 0.23/0.51
% 0.23/0.51 % ------ Parsing...% successful
% 0.23/0.51
% 0.23/0.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe:1:0s pe_e snvd_s sp: 0 0s snvd_e %
% 0.23/0.51
% 0.23/0.51 % ------ Proving...
% 0.23/0.51 % ------ Problem Properties
% 0.23/0.51
% 0.23/0.51 %
% 0.23/0.51 % EPR false
% 0.23/0.51 % Horn false
% 0.23/0.51 % Has equality false
% 0.23/0.51
% 0.23/0.51 % % ------ Input Options Time Limit: Unbounded
% 0.23/0.51
% 0.23/0.51
% 0.23/0.51 % % ------ Current options:
% 0.23/0.51
% 0.23/0.51 % ------ Input Options
% 0.23/0.51
% 0.23/0.51 % --out_options all
% 0.23/0.51 % --tptp_safe_out true
% 0.23/0.51 % --problem_path ""
% 0.23/0.51 % --include_path ""
% 0.23/0.51 % --clausifier .//eprover
% 0.23/0.51 % --clausifier_options --tstp-format
% 0.23/0.51 % --stdin false
% 0.23/0.51 % --dbg_backtrace false
% 0.23/0.51 % --dbg_dump_prop_clauses false
% 0.23/0.51 % --dbg_dump_prop_clauses_file -
% 0.23/0.51 % --dbg_out_stat false
% 0.23/0.51
% 0.23/0.51 % ------ General Options
% 0.23/0.51
% 0.23/0.51 % --fof false
% 0.23/0.51 % --time_out_real 150.
% 0.23/0.51 % --time_out_prep_mult 0.2
% 0.23/0.51 % --time_out_virtual -1.
% 0.23/0.51 % --schedule none
% 0.23/0.51 % --ground_splitting input
% 0.23/0.51 % --splitting_nvd 16
% 0.23/0.51 % --non_eq_to_eq false
% 0.23/0.51 % --prep_gs_sim true
% 0.23/0.51 % --prep_unflatten false
% 0.23/0.51 % --prep_res_sim true
% 0.23/0.51 % --prep_upred true
% 0.23/0.51 % --res_sim_input true
% 0.23/0.51 % --clause_weak_htbl true
% 0.23/0.51 % --gc_record_bc_elim false
% 0.23/0.51 % --symbol_type_check false
% 0.23/0.51 % --clausify_out false
% 0.23/0.51 % --large_theory_mode false
% 0.23/0.51 % --prep_sem_filter none
% 0.23/0.51 % --prep_sem_filter_out false
% 0.23/0.51 % --preprocessed_out false
% 0.23/0.51 % --sub_typing false
% 0.23/0.51 % --brand_transform false
% 0.23/0.51 % --pure_diseq_elim true
% 0.23/0.51 % --min_unsat_core false
% 0.23/0.51 % --pred_elim true
% 0.23/0.51 % --add_important_lit false
% 0.23/0.51 % --soft_assumptions false
% 0.23/0.51 % --reset_solvers false
% 0.23/0.51 % --bc_imp_inh []
% 0.23/0.51 % --conj_cone_tolerance 1.5
% 0.23/0.51 % --prolific_symb_bound 500
% 0.23/0.51 % --lt_threshold 2000
% 0.23/0.51
% 0.23/0.51 % ------ SAT Options
% 0.23/0.51
% 0.23/0.51 % --sat_mode false
% 0.23/0.51 % --sat_fm_restart_options ""
% 0.23/0.51 % --sat_gr_def false
% 0.23/0.51 % --sat_epr_types true
% 0.23/0.51 % --sat_non_cyclic_types false
% 0.23/0.51 % --sat_finite_models false
% 0.23/0.51 % --sat_fm_lemmas false
% 0.23/0.51 % --sat_fm_prep false
% 0.23/0.51 % --sat_fm_uc_incr true
% 0.23/0.51 % --sat_out_model small
% 0.23/0.51 % --sat_out_clauses false
% 0.23/0.51
% 0.23/0.51 % ------ QBF Options
% 0.23/0.51
% 0.23/0.51 % --qbf_mode false
% 0.23/0.51 % --qbf_elim_univ true
% 0.23/0.51 % --qbf_sk_in true
% 0.23/0.51 % --qbf_pred_elim true
% 0.23/0.51 % --qbf_split 32
% 0.23/0.51
% 0.23/0.51 % ------ BMC1 Options
% 0.23/0.51
% 0.23/0.51 % --bmc1_incremental false
% 0.23/0.51 % --bmc1_axioms reachable_all
% 0.23/0.51 % --bmc1_min_bound 0
% 0.23/0.51 % --bmc1_max_bound -1
% 0.23/0.51 % --bmc1_max_bound_default -1
% 0.23/0.51 % --bmc1_symbol_reachability true
% 0.23/0.51 % --bmc1_property_lemmas false
% 0.23/0.51 % --bmc1_k_induction false
% 0.23/0.51 % --bmc1_non_equiv_states false
% 0.23/0.51 % --bmc1_deadlock false
% 0.23/0.51 % --bmc1_ucm false
% 0.23/0.51 % --bmc1_add_unsat_core none
% 0.23/0.51 % --bmc1_unsat_core_children false
% 0.23/0.51 % --bmc1_unsat_core_extrapolate_axioms false
% 0.23/0.51 % --bmc1_out_stat full
% 0.23/0.51 % --bmc1_ground_init false
% 0.23/0.51 % --bmc1_pre_inst_next_state false
% 0.23/0.51 % --bmc1_pre_inst_state false
% 0.23/0.51 % --bmc1_pre_inst_reach_state false
% 0.23/0.51 % --bmc1_out_unsat_core false
% 0.23/0.51 % --bmc1_aig_witness_out false
% 0.23/0.51 % --bmc1_verbose false
% 0.23/0.51 % --bmc1_dump_clauses_tptp false
% 0.23/0.51 % --bmc1_dump_unsat_core_tptp false
% 0.23/0.51 % --bmc1_dump_file -
% 0.23/0.51 % --bmc1_ucm_expand_uc_limit 128
% 0.23/0.51 % --bmc1_ucm_n_expand_iterations 6
% 0.23/0.51 % --bmc1_ucm_extend_mode 1
% 0.23/0.51 % --bmc1_ucm_init_mode 2
% 0.23/0.51 % --bmc1_ucm_cone_mode none
% 0.23/0.51 % --bmc1_ucm_reduced_relation_type 0
% 0.23/0.51 % --bmc1_ucm_relax_model 4
% 0.23/0.51 % --bmc1_ucm_full_tr_after_sat true
% 0.23/0.51 % --bmc1_ucm_expand_neg_assumptions false
% 0.23/0.51 % --bmc1_ucm_layered_model none
% 0.23/0.51 % --bmc1_ucm_max_lemma_size 10
% 0.23/0.51
% 0.23/0.51 % ------ AIG Options
% 0.23/0.51
% 0.23/0.51 % --aig_mode false
% 0.23/0.51
% 0.23/0.51 % ------ Instantiation Options
% 0.23/0.51
% 0.23/0.51 % --instantiation_flag true
% 0.23/0.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.23/0.51 % --inst_solver_per_active 750
% 0.23/0.51 % --inst_solver_calls_frac 0.5
% 0.23/0.51 % --inst_passive_queue_type priority_queues
% 0.23/0.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.23/0.51 % --inst_passive_queues_freq [25;2]
% 0.23/0.51 % --inst_dismatching true
% 0.23/0.51 % --inst_eager_unprocessed_to_passive true
% 0.23/0.51 % --inst_prop_sim_given true
% 55.24/55.52 % --inst_prop_sim_new false
% 55.24/55.52 % --inst_orphan_elimination true
% 55.24/55.52 % --inst_learning_loop_flag true
% 55.24/55.52 % --inst_learning_start 3000
% 55.24/55.52 % --inst_learning_factor 2
% 55.24/55.52 % --inst_start_prop_sim_after_learn 3
% 55.24/55.52 % --inst_sel_renew solver
% 55.24/55.52 % --inst_lit_activity_flag true
% 55.24/55.52 % --inst_out_proof true
% 55.24/55.52
% 55.24/55.52 % ------ Resolution Options
% 55.24/55.52
% 55.24/55.52 % --resolution_flag true
% 55.24/55.52 % --res_lit_sel kbo_max
% 55.24/55.52 % --res_to_prop_solver none
% 55.24/55.52 % --res_prop_simpl_new false
% 55.24/55.52 % --res_prop_simpl_given false
% 55.24/55.52 % --res_passive_queue_type priority_queues
% 55.24/55.52 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 55.24/55.52 % --res_passive_queues_freq [15;5]
% 55.24/55.52 % --res_forward_subs full
% 55.24/55.52 % --res_backward_subs full
% 55.24/55.52 % --res_forward_subs_resolution true
% 55.24/55.52 % --res_backward_subs_resolution true
% 55.24/55.52 % --res_orphan_elimination false
% 55.24/55.52 % --res_time_limit 1000.
% 55.24/55.52 % --res_out_proof true
% 55.24/55.52 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_07fbb8.s
% 55.24/55.52 % --modulo true
% 55.24/55.52
% 55.24/55.52 % ------ Combination Options
% 55.24/55.52
% 55.24/55.52 % --comb_res_mult 1000
% 55.24/55.52 % --comb_inst_mult 300
% 55.24/55.52 % ------
% 55.24/55.52
% 55.24/55.52
% 55.24/55.52
% 55.24/55.52 % ------ Proving...
% 55.24/55.52 %
% 55.24/55.52
% 55.24/55.52
% 55.24/55.52 % Resolution empty clause
% 55.24/55.52
% 55.24/55.52 % ------ Statistics
% 55.24/55.52
% 55.24/55.52 % ------ General
% 55.24/55.52
% 55.24/55.52 % num_of_input_clauses: 229
% 55.24/55.52 % num_of_input_neg_conjectures: 4
% 55.24/55.52 % num_of_splits: 0
% 55.24/55.52 % num_of_split_atoms: 0
% 55.24/55.52 % num_of_sem_filtered_clauses: 0
% 55.24/55.52 % num_of_subtypes: 0
% 55.24/55.52 % monotx_restored_types: 0
% 55.24/55.52 % sat_num_of_epr_types: 0
% 55.24/55.52 % sat_num_of_non_cyclic_types: 0
% 55.24/55.52 % sat_guarded_non_collapsed_types: 0
% 55.24/55.52 % is_epr: 0
% 55.24/55.52 % is_horn: 0
% 55.24/55.52 % has_eq: 0
% 55.24/55.52 % num_pure_diseq_elim: 0
% 55.24/55.52 % simp_replaced_by: 0
% 55.24/55.52 % res_preprocessed: 231
% 55.24/55.52 % prep_upred: 0
% 55.24/55.52 % prep_unflattend: 0
% 55.24/55.52 % pred_elim_cands: 40
% 55.24/55.52 % pred_elim: 1
% 55.24/55.52 % pred_elim_cl: 3
% 55.24/55.52 % pred_elim_cycles: 2
% 55.24/55.52 % forced_gc_time: 0
% 55.24/55.52 % gc_basic_clause_elim: 0
% 55.24/55.52 % parsing_time: 0.012
% 55.24/55.52 % sem_filter_time: 0.
% 55.24/55.52 % pred_elim_time: 0.004
% 55.24/55.52 % out_proof_time: 0.009
% 55.24/55.52 % monotx_time: 0.
% 55.24/55.52 % subtype_inf_time: 0.
% 55.24/55.52 % unif_index_cands_time: 0.125
% 55.24/55.52 % unif_index_add_time: 0.067
% 55.24/55.52 % total_time: 55.102
% 55.24/55.52 % num_of_symbols: 111
% 55.24/55.52 % num_of_terms: 283531
% 55.24/55.52
% 55.24/55.52 % ------ Propositional Solver
% 55.24/55.52
% 55.24/55.52 % prop_solver_calls: 22
% 55.24/55.52 % prop_fast_solver_calls: 1928
% 55.24/55.52 % prop_num_of_clauses: 9471
% 55.24/55.52 % prop_preprocess_simplified: 18097
% 55.24/55.52 % prop_fo_subsumed: 0
% 55.24/55.52 % prop_solver_time: 0.003
% 55.24/55.52 % prop_fast_solver_time: 0.002
% 55.24/55.52 % prop_unsat_core_time: 0.
% 55.24/55.52
% 55.24/55.52 % ------ QBF
% 55.24/55.52
% 55.24/55.52 % qbf_q_res: 0
% 55.24/55.52 % qbf_num_tautologies: 0
% 55.24/55.52 % qbf_prep_cycles: 0
% 55.24/55.52
% 55.24/55.52 % ------ BMC1
% 55.24/55.52
% 55.24/55.52 % bmc1_current_bound: -1
% 55.24/55.52 % bmc1_last_solved_bound: -1
% 55.24/55.52 % bmc1_unsat_core_size: -1
% 55.24/55.52 % bmc1_unsat_core_parents_size: -1
% 55.24/55.52 % bmc1_merge_next_fun: 0
% 55.24/55.52 % bmc1_unsat_core_clauses_time: 0.
% 55.24/55.52
% 55.24/55.52 % ------ Instantiation
% 55.24/55.52
% 55.24/55.52 % inst_num_of_clauses: 2377
% 55.24/55.52 % inst_num_in_passive: 288
% 55.24/55.52 % inst_num_in_active: 1481
% 55.24/55.52 % inst_num_in_unprocessed: 594
% 55.24/55.57 % inst_num_of_loops: 1499
% 55.24/55.57 % inst_num_of_learning_restarts: 1
% 55.24/55.57 % inst_num_moves_active_passive: 0
% 55.24/55.57 % inst_lit_activity: 231
% 55.24/55.57 % inst_lit_activity_moves: 0
% 55.24/55.57 % inst_num_tautologies: 14
% 55.24/55.57 % inst_num_prop_implied: 0
% 55.24/55.57 % inst_num_existing_simplified: 0
% 55.24/55.57 % inst_num_eq_res_simplified: 0
% 55.24/55.57 % inst_num_child_elim: 0
% 55.24/55.57 % inst_num_of_dismatching_blockings: 112
% 55.24/55.57 % inst_num_of_non_proper_insts: 3592
% 55.24/55.57 % inst_num_of_duplicates: 152
% 55.24/55.57 % inst_inst_num_from_inst_to_res: 0
% 55.24/55.57 % inst_dismatching_checking_time: 0.029
% 55.24/55.57
% 55.24/55.57 % ------ Resolution
% 55.24/55.57
% 55.24/55.57 % res_num_of_clauses: 130753
% 55.24/55.57 % res_num_in_passive: 123019
% 55.24/55.57 % res_num_in_active: 7733
% 55.24/55.57 % res_num_of_loops: 15857
% 55.24/55.57 % res_forward_subset_subsumed: 6394
% 55.24/55.57 % res_backward_subset_subsumed: 1
% 55.24/55.57 % res_forward_subsumed: 3035
% 55.24/55.57 % res_backward_subsumed: 2260
% 55.24/55.57 % res_forward_subsumption_resolution: 8811
% 55.24/55.57 % res_backward_subsumption_resolution: 0
% 55.24/55.57 % res_clause_to_clause_subsumption: 585909
% 55.24/55.57 % res_orphan_elimination: 0
% 55.24/55.57 % res_tautology_del: 1404
% 55.24/55.57 % res_num_eq_res_simplified: 0
% 55.24/55.57 % res_num_sel_changes: 0
% 55.24/55.57 % res_moves_from_active_to_pass: 0
% 55.24/55.57
% 55.24/55.57 % Status Unsatisfiable
% 55.24/55.57 % SZS status Theorem
% 55.24/55.57 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------