TSTP Solution File: LCL674+1.005 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LCL674+1.005 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 20:19:24 EST 2010
% Result : Theorem 0.32s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 4
% Syntax : Number of formulae : 61 ( 13 unt; 0 def)
% Number of atoms : 1360 ( 0 equ)
% Maximal formula atoms : 250 ( 22 avg)
% Number of connectives : 2249 ( 950 ~; 783 |; 514 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-1 aty)
% Number of variables : 223 ( 0 sgn 181 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,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)
| ~ 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) )
& ( 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('/tmp/tmpYq1PrM/sel_LCL674+1.005.p_1',main) ).
fof(2,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/tmp/tmpYq1PrM/sel_LCL674+1.005.p_1',transitivity) ).
fof(3,axiom,
! [X1] : r1(X1,X1),
file('/tmp/tmpYq1PrM/sel_LCL674+1.005.p_1',reflexivity) ).
fof(4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,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)
| ~ 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) )
& ( 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) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(5,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,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)
| ~ 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) )
& ( 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) ) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(6,plain,
! [X2] :
( epred1_1(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)
| ~ 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) )
& ( 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(7,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(esa)],[5,6,theory(equality)]) ).
fof(8,negated_conjecture,
? [X1] :
( ! [X2] :
( ~ r1(X1,X2)
| p3(X2) )
& ! [X2] :
( ~ r1(X1,X2)
| epred1_1(X2) )
& ~ p101(X1)
& p100(X1) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(9,negated_conjecture,
? [X3] :
( ! [X4] :
( ~ r1(X3,X4)
| p3(X4) )
& ! [X5] :
( ~ r1(X3,X5)
| epred1_1(X5) )
& ~ p101(X3)
& p100(X3) ),
inference(variable_rename,[status(thm)],[8]) ).
fof(10,negated_conjecture,
( ! [X4] :
( ~ r1(esk1_0,X4)
| p3(X4) )
& ! [X5] :
( ~ r1(esk1_0,X5)
| epred1_1(X5) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(skolemize,[status(esa)],[9]) ).
fof(11,negated_conjecture,
! [X4,X5] :
( ( ~ r1(esk1_0,X5)
| epred1_1(X5) )
& ~ p101(esk1_0)
& p100(esk1_0)
& ( ~ r1(esk1_0,X4)
| p3(X4) ) ),
inference(shift_quantors,[status(thm)],[10]) ).
cnf(12,negated_conjecture,
( p3(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(13,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(14,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[11]) ).
cnf(15,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[11]) ).
fof(16,plain,
! [X1,X2,X3] :
( ~ r1(X1,X2)
| ~ r1(X2,X3)
| r1(X1,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(17,plain,
! [X4,X5,X6] :
( ~ r1(X4,X5)
| ~ r1(X5,X6)
| r1(X4,X6) ),
inference(variable_rename,[status(thm)],[16]) ).
cnf(18,plain,
( r1(X1,X2)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
inference(split_conjunct,[status(thm)],[17]) ).
fof(19,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[3]) ).
cnf(20,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[19]) ).
fof(21,plain,
! [X2] :
( ~ epred1_1(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)
| ~ 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) )
& ( 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(fof_nnf,[status(thm)],[6]) ).
fof(22,plain,
! [X3] :
( ~ epred1_1(X3)
| ( ( ( ? [X4] :
( r1(X3,X4)
& ~ p6(X4)
& ~ p106(X4)
& p105(X4) )
& ? [X5] :
( r1(X3,X5)
& p6(X5)
& ~ p106(X5)
& p105(X5) ) )
| p105(X3)
| ~ p104(X3) )
& ( ( ? [X6] :
( r1(X3,X6)
& ~ p5(X6)
& ~ p105(X6)
& p104(X6) )
& ? [X7] :
( r1(X3,X7)
& p5(X7)
& ~ p105(X7)
& p104(X7) ) )
| p104(X3)
| ~ p103(X3) )
& ( ( ? [X8] :
( r1(X3,X8)
& ~ p4(X8)
& ~ p104(X8)
& p103(X8) )
& ? [X9] :
( r1(X3,X9)
& p4(X9)
& ~ p104(X9)
& p103(X9) ) )
| p103(X3)
| ~ p102(X3) )
& ( ( ? [X10] :
( r1(X3,X10)
& ~ p3(X10)
& ~ p103(X10)
& p102(X10) )
& ? [X11] :
( r1(X3,X11)
& p3(X11)
& ~ p103(X11)
& p102(X11) ) )
| p102(X3)
| ~ p101(X3) )
& ( ( ? [X12] :
( r1(X3,X12)
& ~ p2(X12)
& ~ p102(X12)
& p101(X12) )
& ? [X13] :
( r1(X3,X13)
& p2(X13)
& ~ p102(X13)
& p101(X13) ) )
| p101(X3)
| ~ p100(X3) )
& ( ( ( ! [X14] :
( ~ r1(X3,X14)
| ~ p6(X14)
| ~ p105(X14) )
| p6(X3) )
& ( ! [X15] :
( ~ r1(X3,X15)
| p6(X15)
| ~ p105(X15) )
| ~ p6(X3) ) )
| ~ p105(X3) )
& ( ( ( ! [X16] :
( ~ r1(X3,X16)
| ~ p5(X16)
| ~ p104(X16) )
| p5(X3) )
& ( ! [X17] :
( ~ r1(X3,X17)
| p5(X17)
| ~ p104(X17) )
| ~ p5(X3) ) )
| ~ p104(X3) )
& ( ( ( ! [X18] :
( ~ r1(X3,X18)
| ~ p4(X18)
| ~ p103(X18) )
| p4(X3) )
& ( ! [X19] :
( ~ r1(X3,X19)
| p4(X19)
| ~ p103(X19) )
| ~ p4(X3) ) )
| ~ p103(X3) )
& ( ( ( ! [X20] :
( ~ r1(X3,X20)
| ~ p3(X20)
| ~ p102(X20) )
| p3(X3) )
& ( ! [X21] :
( ~ r1(X3,X21)
| p3(X21)
| ~ p102(X21) )
| ~ p3(X3) ) )
| ~ p102(X3) )
& ( ( ( ! [X22] :
( ~ r1(X3,X22)
| ~ p2(X22)
| ~ p101(X22) )
| p2(X3) )
& ( ! [X23] :
( ~ r1(X3,X23)
| p2(X23)
| ~ p101(X23) )
| ~ p2(X3) ) )
| ~ p101(X3) )
& ( ( ( ! [X24] :
( ~ r1(X3,X24)
| ~ p1(X24)
| ~ p100(X24) )
| p1(X3) )
& ( ! [X25] :
( ~ r1(X3,X25)
| p1(X25)
| ~ p100(X25) )
| ~ p1(X3) ) )
| ~ p100(X3) )
& ( p105(X3)
| ~ p106(X3) )
& ( p104(X3)
| ~ p105(X3) )
& ( p103(X3)
| ~ p104(X3) )
& ( p102(X3)
| ~ p103(X3) )
& ( p101(X3)
| ~ p102(X3) )
& ( p100(X3)
| ~ p101(X3) ) ) ),
inference(variable_rename,[status(thm)],[21]) ).
fof(23,plain,
! [X3] :
( ~ epred1_1(X3)
| ( ( ( r1(X3,esk2_1(X3))
& ~ p6(esk2_1(X3))
& ~ p106(esk2_1(X3))
& p105(esk2_1(X3))
& r1(X3,esk3_1(X3))
& p6(esk3_1(X3))
& ~ p106(esk3_1(X3))
& p105(esk3_1(X3)) )
| p105(X3)
| ~ p104(X3) )
& ( ( r1(X3,esk4_1(X3))
& ~ p5(esk4_1(X3))
& ~ p105(esk4_1(X3))
& p104(esk4_1(X3))
& r1(X3,esk5_1(X3))
& p5(esk5_1(X3))
& ~ p105(esk5_1(X3))
& p104(esk5_1(X3)) )
| p104(X3)
| ~ p103(X3) )
& ( ( r1(X3,esk6_1(X3))
& ~ p4(esk6_1(X3))
& ~ p104(esk6_1(X3))
& p103(esk6_1(X3))
& r1(X3,esk7_1(X3))
& p4(esk7_1(X3))
& ~ p104(esk7_1(X3))
& p103(esk7_1(X3)) )
| p103(X3)
| ~ p102(X3) )
& ( ( r1(X3,esk8_1(X3))
& ~ p3(esk8_1(X3))
& ~ p103(esk8_1(X3))
& p102(esk8_1(X3))
& r1(X3,esk9_1(X3))
& p3(esk9_1(X3))
& ~ p103(esk9_1(X3))
& p102(esk9_1(X3)) )
| p102(X3)
| ~ p101(X3) )
& ( ( r1(X3,esk10_1(X3))
& ~ p2(esk10_1(X3))
& ~ p102(esk10_1(X3))
& p101(esk10_1(X3))
& r1(X3,esk11_1(X3))
& p2(esk11_1(X3))
& ~ p102(esk11_1(X3))
& p101(esk11_1(X3)) )
| p101(X3)
| ~ p100(X3) )
& ( ( ( ! [X14] :
( ~ r1(X3,X14)
| ~ p6(X14)
| ~ p105(X14) )
| p6(X3) )
& ( ! [X15] :
( ~ r1(X3,X15)
| p6(X15)
| ~ p105(X15) )
| ~ p6(X3) ) )
| ~ p105(X3) )
& ( ( ( ! [X16] :
( ~ r1(X3,X16)
| ~ p5(X16)
| ~ p104(X16) )
| p5(X3) )
& ( ! [X17] :
( ~ r1(X3,X17)
| p5(X17)
| ~ p104(X17) )
| ~ p5(X3) ) )
| ~ p104(X3) )
& ( ( ( ! [X18] :
( ~ r1(X3,X18)
| ~ p4(X18)
| ~ p103(X18) )
| p4(X3) )
& ( ! [X19] :
( ~ r1(X3,X19)
| p4(X19)
| ~ p103(X19) )
| ~ p4(X3) ) )
| ~ p103(X3) )
& ( ( ( ! [X20] :
( ~ r1(X3,X20)
| ~ p3(X20)
| ~ p102(X20) )
| p3(X3) )
& ( ! [X21] :
( ~ r1(X3,X21)
| p3(X21)
| ~ p102(X21) )
| ~ p3(X3) ) )
| ~ p102(X3) )
& ( ( ( ! [X22] :
( ~ r1(X3,X22)
| ~ p2(X22)
| ~ p101(X22) )
| p2(X3) )
& ( ! [X23] :
( ~ r1(X3,X23)
| p2(X23)
| ~ p101(X23) )
| ~ p2(X3) ) )
| ~ p101(X3) )
& ( ( ( ! [X24] :
( ~ r1(X3,X24)
| ~ p1(X24)
| ~ p100(X24) )
| p1(X3) )
& ( ! [X25] :
( ~ r1(X3,X25)
| p1(X25)
| ~ p100(X25) )
| ~ p1(X3) ) )
| ~ p100(X3) )
& ( p105(X3)
| ~ p106(X3) )
& ( p104(X3)
| ~ p105(X3) )
& ( p103(X3)
| ~ p104(X3) )
& ( p102(X3)
| ~ p103(X3) )
& ( p101(X3)
| ~ p102(X3) )
& ( p100(X3)
| ~ p101(X3) ) ) ),
inference(skolemize,[status(esa)],[22]) ).
fof(24,plain,
! [X3,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25] :
( ( ( ( ( ~ r1(X3,X25)
| p1(X25)
| ~ p100(X25)
| ~ p1(X3) )
& ( ~ r1(X3,X24)
| ~ p1(X24)
| ~ p100(X24)
| p1(X3) ) )
| ~ p100(X3) )
& ( ( ( ~ r1(X3,X23)
| p2(X23)
| ~ p101(X23)
| ~ p2(X3) )
& ( ~ r1(X3,X22)
| ~ p2(X22)
| ~ p101(X22)
| p2(X3) ) )
| ~ p101(X3) )
& ( ( ( ~ r1(X3,X21)
| p3(X21)
| ~ p102(X21)
| ~ p3(X3) )
& ( ~ r1(X3,X20)
| ~ p3(X20)
| ~ p102(X20)
| p3(X3) ) )
| ~ p102(X3) )
& ( ( ( ~ r1(X3,X19)
| p4(X19)
| ~ p103(X19)
| ~ p4(X3) )
& ( ~ r1(X3,X18)
| ~ p4(X18)
| ~ p103(X18)
| p4(X3) ) )
| ~ p103(X3) )
& ( ( ( ~ r1(X3,X17)
| p5(X17)
| ~ p104(X17)
| ~ p5(X3) )
& ( ~ r1(X3,X16)
| ~ p5(X16)
| ~ p104(X16)
| p5(X3) ) )
| ~ p104(X3) )
& ( ( ( ~ r1(X3,X15)
| p6(X15)
| ~ p105(X15)
| ~ p6(X3) )
& ( ~ r1(X3,X14)
| ~ p6(X14)
| ~ p105(X14)
| p6(X3) ) )
| ~ p105(X3) )
& ( ( r1(X3,esk2_1(X3))
& ~ p6(esk2_1(X3))
& ~ p106(esk2_1(X3))
& p105(esk2_1(X3))
& r1(X3,esk3_1(X3))
& p6(esk3_1(X3))
& ~ p106(esk3_1(X3))
& p105(esk3_1(X3)) )
| p105(X3)
| ~ p104(X3) )
& ( ( r1(X3,esk4_1(X3))
& ~ p5(esk4_1(X3))
& ~ p105(esk4_1(X3))
& p104(esk4_1(X3))
& r1(X3,esk5_1(X3))
& p5(esk5_1(X3))
& ~ p105(esk5_1(X3))
& p104(esk5_1(X3)) )
| p104(X3)
| ~ p103(X3) )
& ( ( r1(X3,esk6_1(X3))
& ~ p4(esk6_1(X3))
& ~ p104(esk6_1(X3))
& p103(esk6_1(X3))
& r1(X3,esk7_1(X3))
& p4(esk7_1(X3))
& ~ p104(esk7_1(X3))
& p103(esk7_1(X3)) )
| p103(X3)
| ~ p102(X3) )
& ( ( r1(X3,esk8_1(X3))
& ~ p3(esk8_1(X3))
& ~ p103(esk8_1(X3))
& p102(esk8_1(X3))
& r1(X3,esk9_1(X3))
& p3(esk9_1(X3))
& ~ p103(esk9_1(X3))
& p102(esk9_1(X3)) )
| p102(X3)
| ~ p101(X3) )
& ( ( r1(X3,esk10_1(X3))
& ~ p2(esk10_1(X3))
& ~ p102(esk10_1(X3))
& p101(esk10_1(X3))
& r1(X3,esk11_1(X3))
& p2(esk11_1(X3))
& ~ p102(esk11_1(X3))
& p101(esk11_1(X3)) )
| p101(X3)
| ~ p100(X3) )
& ( p105(X3)
| ~ p106(X3) )
& ( p104(X3)
| ~ p105(X3) )
& ( p103(X3)
| ~ p104(X3) )
& ( p102(X3)
| ~ p103(X3) )
& ( p101(X3)
| ~ p102(X3) )
& ( p100(X3)
| ~ p101(X3) ) )
| ~ epred1_1(X3) ),
inference(shift_quantors,[status(thm)],[23]) ).
fof(25,plain,
! [X3,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25] :
( ( ~ r1(X3,X25)
| p1(X25)
| ~ p100(X25)
| ~ p1(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X24)
| ~ p1(X24)
| ~ p100(X24)
| p1(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X23)
| p2(X23)
| ~ p101(X23)
| ~ p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X22)
| ~ p2(X22)
| ~ p101(X22)
| p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X21)
| p3(X21)
| ~ p102(X21)
| ~ p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X20)
| ~ p3(X20)
| ~ p102(X20)
| p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X19)
| p4(X19)
| ~ p103(X19)
| ~ p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X18)
| ~ p4(X18)
| ~ p103(X18)
| p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X17)
| p5(X17)
| ~ p104(X17)
| ~ p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X16)
| ~ p5(X16)
| ~ p104(X16)
| p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X15)
| p6(X15)
| ~ p105(X15)
| ~ p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X14)
| ~ p6(X14)
| ~ p105(X14)
| p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk2_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p6(esk2_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk2_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk2_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk3_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p6(esk3_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk3_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk3_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk4_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p5(esk4_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk4_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk4_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk5_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p5(esk5_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk5_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk5_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk6_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p4(esk6_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk6_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk6_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk7_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p4(esk7_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk7_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk7_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk8_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p3(esk8_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk8_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk8_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk9_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p3(esk9_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk9_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk9_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk10_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p2(esk10_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk10_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk10_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk11_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p2(esk11_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk11_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk11_1(X3))
| p101(X3)
| ~ p100(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)],[24]) ).
cnf(36,plain,
( p101(X1)
| p101(esk10_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(37,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk10_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(39,plain,
( p101(X1)
| r1(X1,esk10_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(46,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p3(esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(47,plain,
( p102(X1)
| r1(X1,esk8_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(85,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[15,20,theory(equality)]) ).
cnf(89,plain,
( epred1_1(esk10_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[15,39,theory(equality)]) ).
cnf(94,plain,
( epred1_1(esk10_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| $false ),
inference(rw,[status(thm)],[89,13,theory(equality)]) ).
cnf(95,plain,
( epred1_1(esk10_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0) ),
inference(cn,[status(thm)],[94,theory(equality)]) ).
cnf(96,plain,
( epred1_1(esk10_1(esk1_0))
| ~ epred1_1(esk1_0) ),
inference(sr,[status(thm)],[95,14,theory(equality)]) ).
cnf(111,plain,
( r1(X1,esk8_1(X2))
| p102(X2)
| ~ r1(X1,X2)
| ~ epred1_1(X2)
| ~ p101(X2) ),
inference(spm,[status(thm)],[18,47,theory(equality)]) ).
cnf(278,plain,
( epred1_1(esk10_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[96,85,theory(equality)]) ).
cnf(279,plain,
epred1_1(esk10_1(esk1_0)),
inference(cn,[status(thm)],[278,theory(equality)]) ).
cnf(367,plain,
( p102(esk10_1(X1))
| r1(X1,esk8_1(esk10_1(X1)))
| p101(X1)
| ~ epred1_1(esk10_1(X1))
| ~ p101(esk10_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(spm,[status(thm)],[111,39,theory(equality)]) ).
cnf(622,plain,
( p101(X1)
| p102(esk10_1(X1))
| r1(X1,esk8_1(esk10_1(X1)))
| ~ epred1_1(esk10_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(csr,[status(thm)],[367,36]) ).
cnf(623,plain,
( p101(X1)
| r1(X1,esk8_1(esk10_1(X1)))
| ~ epred1_1(esk10_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(csr,[status(thm)],[622,37]) ).
cnf(624,plain,
( p101(esk1_0)
| r1(esk1_0,esk8_1(esk10_1(esk1_0)))
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[623,279,theory(equality)]) ).
cnf(625,plain,
( p101(esk1_0)
| r1(esk1_0,esk8_1(esk10_1(esk1_0)))
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[624,85,theory(equality)]) ).
cnf(626,plain,
( p101(esk1_0)
| r1(esk1_0,esk8_1(esk10_1(esk1_0)))
| $false
| $false ),
inference(rw,[status(thm)],[625,13,theory(equality)]) ).
cnf(627,plain,
( p101(esk1_0)
| r1(esk1_0,esk8_1(esk10_1(esk1_0))) ),
inference(cn,[status(thm)],[626,theory(equality)]) ).
cnf(628,plain,
r1(esk1_0,esk8_1(esk10_1(esk1_0))),
inference(sr,[status(thm)],[627,14,theory(equality)]) ).
cnf(629,plain,
p3(esk8_1(esk10_1(esk1_0))),
inference(spm,[status(thm)],[12,628,theory(equality)]) ).
cnf(682,plain,
( p102(esk10_1(esk1_0))
| ~ epred1_1(esk10_1(esk1_0))
| ~ p101(esk10_1(esk1_0)) ),
inference(spm,[status(thm)],[46,629,theory(equality)]) ).
cnf(683,plain,
( p102(esk10_1(esk1_0))
| $false
| ~ p101(esk10_1(esk1_0)) ),
inference(rw,[status(thm)],[682,279,theory(equality)]) ).
cnf(684,plain,
( p102(esk10_1(esk1_0))
| ~ p101(esk10_1(esk1_0)) ),
inference(cn,[status(thm)],[683,theory(equality)]) ).
cnf(711,plain,
( p102(esk10_1(esk1_0))
| p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[684,36,theory(equality)]) ).
cnf(714,plain,
( p102(esk10_1(esk1_0))
| p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[711,85,theory(equality)]) ).
cnf(715,plain,
( p102(esk10_1(esk1_0))
| p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[714,13,theory(equality)]) ).
cnf(716,plain,
( p102(esk10_1(esk1_0))
| p101(esk1_0) ),
inference(cn,[status(thm)],[715,theory(equality)]) ).
cnf(717,plain,
p102(esk10_1(esk1_0)),
inference(sr,[status(thm)],[716,14,theory(equality)]) ).
cnf(718,plain,
( p101(esk1_0)
| ~ epred1_1(esk1_0)
| ~ p100(esk1_0) ),
inference(spm,[status(thm)],[37,717,theory(equality)]) ).
cnf(720,plain,
( p101(esk1_0)
| $false
| ~ p100(esk1_0) ),
inference(rw,[status(thm)],[718,85,theory(equality)]) ).
cnf(721,plain,
( p101(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[720,13,theory(equality)]) ).
cnf(722,plain,
p101(esk1_0),
inference(cn,[status(thm)],[721,theory(equality)]) ).
cnf(723,plain,
$false,
inference(sr,[status(thm)],[722,14,theory(equality)]) ).
cnf(724,plain,
$false,
723,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LCL/LCL674+1.005.p
% --creating new selector for []
% -running prover on /tmp/tmpYq1PrM/sel_LCL674+1.005.p_1 with time limit 29
% -prover status Theorem
% Problem LCL674+1.005.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LCL/LCL674+1.005.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LCL/LCL674+1.005.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------