TSTP Solution File: LCL656+1.010 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LCL656+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 10:14:56 EDT 2022
% Result : Theorem 0.21s 1.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of formulae : 61 ( 11 unt; 0 def)
% Number of atoms : 1445 ( 0 equ)
% Maximal formula atoms : 485 ( 23 avg)
% Number of connectives : 2513 (1129 ~; 957 |; 425 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 10 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 1 con; 0-1 aty)
% Number of variables : 341 ( 0 sgn 213 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(X1) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',reflexivity) ).
fof(c_0_2,plain,
! [X1] :
( epred1_1(X1)
<=> ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
introduced(definition) ).
fof(c_0_3,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(X1) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| epred1_1(X1) ) ) ) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[main]),c_0_2]) ).
fof(c_0_4,negated_conjecture,
! [X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23] :
( ( ~ r1(esk1_0,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| p5(X13) )
& ( ~ r1(esk1_0,X14)
| ~ r1(X14,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X22)
| ~ r1(X22,X23)
| epred1_1(X23) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])])])])]) ).
fof(c_0_5,plain,
! [X2] : r1(X2,X2),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_6,negated_conjecture,
( epred1_1(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(esk1_0,X10) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( p5(X1)
| ~ r1(X2,X1)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(esk1_0,X10) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_16,plain,
! [X1] :
( epred1_1(X1)
=> ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
cnf(c_0_18,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_7]) ).
fof(c_0_19,plain,
! [X3,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45] :
( ( r1(X3,esk2_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p11(esk2_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p111(esk2_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p110(esk2_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk3_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p11(esk3_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ p111(esk3_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( p110(esk3_1(X3))
| p110(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk4_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p10(esk4_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p110(esk4_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p109(esk4_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk5_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p10(esk5_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ p110(esk5_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( p109(esk5_1(X3))
| p109(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk6_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p9(esk6_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p109(esk6_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p108(esk6_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk7_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p9(esk7_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ p109(esk7_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( p108(esk7_1(X3))
| p108(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk8_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p8(esk8_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p108(esk8_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p107(esk8_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk9_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p8(esk9_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ p108(esk9_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( p107(esk9_1(X3))
| p107(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk10_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p7(esk10_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p107(esk10_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p106(esk10_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk11_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p7(esk11_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ p107(esk11_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( p106(esk11_1(X3))
| p106(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk12_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p6(esk12_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk12_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk12_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk13_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p6(esk13_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ p106(esk13_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( p105(esk13_1(X3))
| p105(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk14_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p5(esk14_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk14_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk14_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk15_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p5(esk15_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ p105(esk15_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( p104(esk15_1(X3))
| p104(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk16_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p4(esk16_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk16_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk16_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk17_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p4(esk17_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ p104(esk17_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( p103(esk17_1(X3))
| p103(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk18_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p3(esk18_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk18_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk18_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk19_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p3(esk19_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ p103(esk19_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( p102(esk19_1(X3))
| p102(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk20_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p2(esk20_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk20_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk20_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( r1(X3,esk21_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p2(esk21_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ p102(esk21_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( p101(esk21_1(X3))
| p101(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X24)
| ~ p11(X24)
| ~ p110(X24)
| p11(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X25)
| p11(X25)
| ~ p110(X25)
| ~ p11(X3)
| ~ p110(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X26)
| ~ p10(X26)
| ~ p109(X26)
| p10(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X27)
| p10(X27)
| ~ p109(X27)
| ~ p10(X3)
| ~ p109(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X28)
| ~ p9(X28)
| ~ p108(X28)
| p9(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X29)
| p9(X29)
| ~ p108(X29)
| ~ p9(X3)
| ~ p108(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X30)
| ~ p8(X30)
| ~ p107(X30)
| p8(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X31)
| p8(X31)
| ~ p107(X31)
| ~ p8(X3)
| ~ p107(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X32)
| ~ p7(X32)
| ~ p106(X32)
| p7(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X33)
| p7(X33)
| ~ p106(X33)
| ~ p7(X3)
| ~ p106(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X34)
| ~ p6(X34)
| ~ p105(X34)
| p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X35)
| p6(X35)
| ~ p105(X35)
| ~ p6(X3)
| ~ p105(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X36)
| ~ p5(X36)
| ~ p104(X36)
| p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X37)
| p5(X37)
| ~ p104(X37)
| ~ p5(X3)
| ~ p104(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X38)
| ~ p4(X38)
| ~ p103(X38)
| p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X39)
| p4(X39)
| ~ p103(X39)
| ~ p4(X3)
| ~ p103(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X40)
| ~ p3(X40)
| ~ p102(X40)
| p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X41)
| p3(X41)
| ~ p102(X41)
| ~ p3(X3)
| ~ p102(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X42)
| ~ p2(X42)
| ~ p101(X42)
| p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X43)
| p2(X43)
| ~ p101(X43)
| ~ p2(X3)
| ~ p101(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X44)
| ~ p1(X44)
| ~ p100(X44)
| p1(X3)
| ~ p100(X3)
| ~ epred1_1(X3) )
& ( ~ r1(X3,X45)
| p1(X45)
| ~ p100(X45)
| ~ p1(X3)
| ~ p100(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(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_16])])])])])])])]) ).
cnf(c_0_20,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_7]) ).
cnf(c_0_21,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_22,plain,
( p101(X1)
| r1(X1,esk20_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_7]) ).
cnf(c_0_24,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_25,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_7]) ).
cnf(c_0_27,plain,
r1(esk1_0,esk20_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_28,plain,
( p101(X1)
| p101(esk20_1(X1))
| ~ epred1_1(X1)
| ~ p100(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_7]) ).
cnf(c_0_30,plain,
( p102(X1)
| r1(X1,esk18_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,negated_conjecture,
epred1_1(esk20_1(esk1_0)),
inference(spm,[status(thm)],[c_0_20,c_0_27]) ).
cnf(c_0_32,plain,
p101(esk20_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_7]) ).
cnf(c_0_34,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk20_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_27]) ).
cnf(c_0_35,plain,
( p102(esk20_1(esk1_0))
| r1(esk20_1(esk1_0),esk18_1(esk20_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_36,plain,
( p102(X1)
| p102(esk18_1(X1))
| ~ epred1_1(X1)
| ~ p101(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_37,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_7]) ).
cnf(c_0_38,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk20_1(esk1_0),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_27]) ).
cnf(c_0_39,plain,
( p103(X1)
| r1(X1,esk16_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_40,negated_conjecture,
( epred1_1(esk18_1(esk20_1(esk1_0)))
| p102(esk20_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( p102(esk18_1(esk20_1(esk1_0)))
| p102(esk20_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_31]),c_0_32])]) ).
cnf(c_0_42,plain,
( p5(X1)
| ~ r1(esk20_1(esk1_0),X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_27]) ).
cnf(c_0_43,negated_conjecture,
( epred1_1(X1)
| p102(esk20_1(esk1_0))
| ~ r1(esk18_1(esk20_1(esk1_0)),X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_44,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| r1(esk18_1(esk20_1(esk1_0)),esk16_1(esk18_1(esk20_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_45,plain,
( p103(X1)
| p103(esk16_1(X1))
| ~ epred1_1(X1)
| ~ p102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_46,plain,
( p102(esk20_1(esk1_0))
| p5(X1)
| ~ r1(esk18_1(esk20_1(esk1_0)),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_47,plain,
( p104(X1)
| r1(X1,esk14_1(X1))
| ~ epred1_1(X1)
| ~ p103(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_48,negated_conjecture,
( epred1_1(esk16_1(esk18_1(esk20_1(esk1_0))))
| p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
( p102(esk20_1(esk1_0))
| p103(esk16_1(esk18_1(esk20_1(esk1_0))))
| p103(esk18_1(esk20_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_41]) ).
cnf(c_0_50,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p5(X1)
| ~ r1(esk16_1(esk18_1(esk20_1(esk1_0))),X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_51,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| r1(esk16_1(esk18_1(esk20_1(esk1_0))),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_52,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ p5(esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_53,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0))))
| p5(esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,plain,
( p103(X1)
| ~ epred1_1(X1)
| ~ p102(X1)
| ~ p104(esk16_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_55,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0)))
| p104(esk16_1(esk18_1(esk20_1(esk1_0)))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_49]),c_0_48]) ).
cnf(c_0_56,plain,
( p102(X1)
| ~ epred1_1(X1)
| ~ p101(X1)
| ~ p103(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_57,plain,
( p102(esk20_1(esk1_0))
| p103(esk18_1(esk20_1(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_41]),c_0_40]) ).
cnf(c_0_58,plain,
( p101(X1)
| ~ epred1_1(X1)
| ~ p100(X1)
| ~ p102(esk20_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_59,plain,
p102(esk20_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_31]),c_0_32])]) ).
cnf(c_0_60,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_23]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL656+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 21:05:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.21/1.40 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.21/1.40 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.21/1.40 # Preprocessing time : 0.021 s
% 0.21/1.40
% 0.21/1.40 # Proof found!
% 0.21/1.40 # SZS status Theorem
% 0.21/1.40 # SZS output start CNFRefutation
% See solution above
% 0.21/1.40 # Proof object total steps : 61
% 0.21/1.40 # Proof object clause steps : 53
% 0.21/1.40 # Proof object formula steps : 8
% 0.21/1.40 # Proof object conjectures : 29
% 0.21/1.40 # Proof object clause conjectures : 26
% 0.21/1.40 # Proof object formula conjectures : 3
% 0.21/1.40 # Proof object initial clauses used : 16
% 0.21/1.40 # Proof object initial formulas used : 2
% 0.21/1.40 # Proof object generating inferences : 37
% 0.21/1.40 # Proof object simplifying inferences : 24
% 0.21/1.40 # Training examples: 0 positive, 0 negative
% 0.21/1.40 # Parsed axioms : 2
% 0.21/1.40 # Removed by relevancy pruning/SinE : 0
% 0.21/1.40 # Initial clauses : 118
% 0.21/1.40 # Removed in clause preprocessing : 0
% 0.21/1.40 # Initial clauses in saturation : 118
% 0.21/1.40 # Processed clauses : 1651
% 0.21/1.40 # ...of these trivial : 5
% 0.21/1.40 # ...subsumed : 382
% 0.21/1.40 # ...remaining for further processing : 1264
% 0.21/1.40 # Other redundant clauses eliminated : 0
% 0.21/1.40 # Clauses deleted for lack of memory : 0
% 0.21/1.40 # Backward-subsumed : 322
% 0.21/1.40 # Backward-rewritten : 311
% 0.21/1.40 # Generated clauses : 2283
% 0.21/1.40 # ...of the previous two non-trivial : 2208
% 0.21/1.40 # Contextual simplify-reflections : 461
% 0.21/1.40 # Paramodulations : 2283
% 0.21/1.40 # Factorizations : 0
% 0.21/1.40 # Equation resolutions : 0
% 0.21/1.40 # Current number of processed clauses : 631
% 0.21/1.40 # Positive orientable unit clauses : 16
% 0.21/1.40 # Positive unorientable unit clauses: 0
% 0.21/1.40 # Negative unit clauses : 3
% 0.21/1.40 # Non-unit-clauses : 612
% 0.21/1.40 # Current number of unprocessed clauses: 235
% 0.21/1.40 # ...number of literals in the above : 1276
% 0.21/1.40 # Current number of archived formulas : 0
% 0.21/1.40 # Current number of archived clauses : 633
% 0.21/1.40 # Clause-clause subsumption calls (NU) : 450393
% 0.21/1.40 # Rec. Clause-clause subsumption calls : 54624
% 0.21/1.40 # Non-unit clause-clause subsumptions : 1139
% 0.21/1.40 # Unit Clause-clause subsumption calls : 1373
% 0.21/1.40 # Rewrite failures with RHS unbound : 0
% 0.21/1.40 # BW rewrite match attempts : 1
% 0.21/1.40 # BW rewrite match successes : 1
% 0.21/1.40 # Condensation attempts : 0
% 0.21/1.40 # Condensation successes : 0
% 0.21/1.40 # Termbank termtop insertions : 66463
% 0.21/1.40
% 0.21/1.40 # -------------------------------------------------
% 0.21/1.40 # User time : 0.245 s
% 0.21/1.40 # System time : 0.007 s
% 0.21/1.40 # Total time : 0.252 s
% 0.21/1.40 # Maximum resident set size: 6584 pages
% 0.21/23.42 eprover: CPU time limit exceeded, terminating
% 0.21/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.43 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.44 eprover: No such file or directory
% 0.21/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.45 eprover: No such file or directory
% 0.21/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46 eprover: No such file or directory
% 0.21/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.46 eprover: No such file or directory
% 0.21/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47 eprover: No such file or directory
% 0.21/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.47 eprover: No such file or directory
% 0.21/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.48 eprover: No such file or directory
% 0.21/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.48 eprover: No such file or directory
% 0.21/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.21/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------