TSTP Solution File: LCL674+1.010 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LCL674+1.010 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 23:52:50 EDT 2024
% Result : Theorem 0.18s 0.56s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 54 ( 22 unt; 0 def)
% Number of atoms : 1269 ( 0 equ)
% Maximal formula atoms : 485 ( 23 avg)
% Number of connectives : 2203 ( 988 ~; 786 |; 426 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 8 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 : 191 ( 0 sgn 165 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p5(X2) )
| ~ ( ! [X2] :
( ~ r1(X1,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)
| ~ 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) )
& ( 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('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(transitivity,axiom,
! [X1,X2,X3] :
( ( r1(X1,X2)
& r1(X2,X3) )
=> r1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(c_0_3,plain,
! [X2] :
( epred1_1(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)
| ~ 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) )
& ( 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_4,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| p5(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)],[main])]),c_0_3]) ).
fof(c_0_5,plain,
! [X2] :
( epred1_1(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)
| ~ 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) )
& ( 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_3]) ).
fof(c_0_6,negated_conjecture,
! [X5,X6] :
( ( ~ r1(esk1_0,X5)
| p5(X5) )
& ( ~ r1(esk1_0,X6)
| epred1_1(X6) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
fof(c_0_7,plain,
! [X7] : r1(X7,X7),
inference(variable_rename,[status(thm)],[reflexivity]) ).
fof(c_0_8,plain,
! [X11,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53] :
( ( r1(X11,esk2_1(X11))
| p110(X11)
| ~ p109(X11)
| ~ epred1_1(X11) )
& ( ~ p11(esk2_1(X11))
| p110(X11)
| ~ p109(X11)
| ~ epred1_1(X11) )
& ( ~ p111(esk2_1(X11))
| p110(X11)
| ~ p109(X11)
| ~ epred1_1(X11) )
& ( p110(esk2_1(X11))
| p110(X11)
| ~ p109(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk3_1(X11))
| p110(X11)
| ~ p109(X11)
| ~ epred1_1(X11) )
& ( p11(esk3_1(X11))
| p110(X11)
| ~ p109(X11)
| ~ epred1_1(X11) )
& ( ~ p111(esk3_1(X11))
| p110(X11)
| ~ p109(X11)
| ~ epred1_1(X11) )
& ( p110(esk3_1(X11))
| p110(X11)
| ~ p109(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk4_1(X11))
| p109(X11)
| ~ p108(X11)
| ~ epred1_1(X11) )
& ( ~ p10(esk4_1(X11))
| p109(X11)
| ~ p108(X11)
| ~ epred1_1(X11) )
& ( ~ p110(esk4_1(X11))
| p109(X11)
| ~ p108(X11)
| ~ epred1_1(X11) )
& ( p109(esk4_1(X11))
| p109(X11)
| ~ p108(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk5_1(X11))
| p109(X11)
| ~ p108(X11)
| ~ epred1_1(X11) )
& ( p10(esk5_1(X11))
| p109(X11)
| ~ p108(X11)
| ~ epred1_1(X11) )
& ( ~ p110(esk5_1(X11))
| p109(X11)
| ~ p108(X11)
| ~ epred1_1(X11) )
& ( p109(esk5_1(X11))
| p109(X11)
| ~ p108(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk6_1(X11))
| p108(X11)
| ~ p107(X11)
| ~ epred1_1(X11) )
& ( ~ p9(esk6_1(X11))
| p108(X11)
| ~ p107(X11)
| ~ epred1_1(X11) )
& ( ~ p109(esk6_1(X11))
| p108(X11)
| ~ p107(X11)
| ~ epred1_1(X11) )
& ( p108(esk6_1(X11))
| p108(X11)
| ~ p107(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk7_1(X11))
| p108(X11)
| ~ p107(X11)
| ~ epred1_1(X11) )
& ( p9(esk7_1(X11))
| p108(X11)
| ~ p107(X11)
| ~ epred1_1(X11) )
& ( ~ p109(esk7_1(X11))
| p108(X11)
| ~ p107(X11)
| ~ epred1_1(X11) )
& ( p108(esk7_1(X11))
| p108(X11)
| ~ p107(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk8_1(X11))
| p107(X11)
| ~ p106(X11)
| ~ epred1_1(X11) )
& ( ~ p8(esk8_1(X11))
| p107(X11)
| ~ p106(X11)
| ~ epred1_1(X11) )
& ( ~ p108(esk8_1(X11))
| p107(X11)
| ~ p106(X11)
| ~ epred1_1(X11) )
& ( p107(esk8_1(X11))
| p107(X11)
| ~ p106(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk9_1(X11))
| p107(X11)
| ~ p106(X11)
| ~ epred1_1(X11) )
& ( p8(esk9_1(X11))
| p107(X11)
| ~ p106(X11)
| ~ epred1_1(X11) )
& ( ~ p108(esk9_1(X11))
| p107(X11)
| ~ p106(X11)
| ~ epred1_1(X11) )
& ( p107(esk9_1(X11))
| p107(X11)
| ~ p106(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk10_1(X11))
| p106(X11)
| ~ p105(X11)
| ~ epred1_1(X11) )
& ( ~ p7(esk10_1(X11))
| p106(X11)
| ~ p105(X11)
| ~ epred1_1(X11) )
& ( ~ p107(esk10_1(X11))
| p106(X11)
| ~ p105(X11)
| ~ epred1_1(X11) )
& ( p106(esk10_1(X11))
| p106(X11)
| ~ p105(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk11_1(X11))
| p106(X11)
| ~ p105(X11)
| ~ epred1_1(X11) )
& ( p7(esk11_1(X11))
| p106(X11)
| ~ p105(X11)
| ~ epred1_1(X11) )
& ( ~ p107(esk11_1(X11))
| p106(X11)
| ~ p105(X11)
| ~ epred1_1(X11) )
& ( p106(esk11_1(X11))
| p106(X11)
| ~ p105(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk12_1(X11))
| p105(X11)
| ~ p104(X11)
| ~ epred1_1(X11) )
& ( ~ p6(esk12_1(X11))
| p105(X11)
| ~ p104(X11)
| ~ epred1_1(X11) )
& ( ~ p106(esk12_1(X11))
| p105(X11)
| ~ p104(X11)
| ~ epred1_1(X11) )
& ( p105(esk12_1(X11))
| p105(X11)
| ~ p104(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk13_1(X11))
| p105(X11)
| ~ p104(X11)
| ~ epred1_1(X11) )
& ( p6(esk13_1(X11))
| p105(X11)
| ~ p104(X11)
| ~ epred1_1(X11) )
& ( ~ p106(esk13_1(X11))
| p105(X11)
| ~ p104(X11)
| ~ epred1_1(X11) )
& ( p105(esk13_1(X11))
| p105(X11)
| ~ p104(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk14_1(X11))
| p104(X11)
| ~ p103(X11)
| ~ epred1_1(X11) )
& ( ~ p5(esk14_1(X11))
| p104(X11)
| ~ p103(X11)
| ~ epred1_1(X11) )
& ( ~ p105(esk14_1(X11))
| p104(X11)
| ~ p103(X11)
| ~ epred1_1(X11) )
& ( p104(esk14_1(X11))
| p104(X11)
| ~ p103(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk15_1(X11))
| p104(X11)
| ~ p103(X11)
| ~ epred1_1(X11) )
& ( p5(esk15_1(X11))
| p104(X11)
| ~ p103(X11)
| ~ epred1_1(X11) )
& ( ~ p105(esk15_1(X11))
| p104(X11)
| ~ p103(X11)
| ~ epred1_1(X11) )
& ( p104(esk15_1(X11))
| p104(X11)
| ~ p103(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk16_1(X11))
| p103(X11)
| ~ p102(X11)
| ~ epred1_1(X11) )
& ( ~ p4(esk16_1(X11))
| p103(X11)
| ~ p102(X11)
| ~ epred1_1(X11) )
& ( ~ p104(esk16_1(X11))
| p103(X11)
| ~ p102(X11)
| ~ epred1_1(X11) )
& ( p103(esk16_1(X11))
| p103(X11)
| ~ p102(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk17_1(X11))
| p103(X11)
| ~ p102(X11)
| ~ epred1_1(X11) )
& ( p4(esk17_1(X11))
| p103(X11)
| ~ p102(X11)
| ~ epred1_1(X11) )
& ( ~ p104(esk17_1(X11))
| p103(X11)
| ~ p102(X11)
| ~ epred1_1(X11) )
& ( p103(esk17_1(X11))
| p103(X11)
| ~ p102(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk18_1(X11))
| p102(X11)
| ~ p101(X11)
| ~ epred1_1(X11) )
& ( ~ p3(esk18_1(X11))
| p102(X11)
| ~ p101(X11)
| ~ epred1_1(X11) )
& ( ~ p103(esk18_1(X11))
| p102(X11)
| ~ p101(X11)
| ~ epred1_1(X11) )
& ( p102(esk18_1(X11))
| p102(X11)
| ~ p101(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk19_1(X11))
| p102(X11)
| ~ p101(X11)
| ~ epred1_1(X11) )
& ( p3(esk19_1(X11))
| p102(X11)
| ~ p101(X11)
| ~ epred1_1(X11) )
& ( ~ p103(esk19_1(X11))
| p102(X11)
| ~ p101(X11)
| ~ epred1_1(X11) )
& ( p102(esk19_1(X11))
| p102(X11)
| ~ p101(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk20_1(X11))
| p101(X11)
| ~ p100(X11)
| ~ epred1_1(X11) )
& ( ~ p2(esk20_1(X11))
| p101(X11)
| ~ p100(X11)
| ~ epred1_1(X11) )
& ( ~ p102(esk20_1(X11))
| p101(X11)
| ~ p100(X11)
| ~ epred1_1(X11) )
& ( p101(esk20_1(X11))
| p101(X11)
| ~ p100(X11)
| ~ epred1_1(X11) )
& ( r1(X11,esk21_1(X11))
| p101(X11)
| ~ p100(X11)
| ~ epred1_1(X11) )
& ( p2(esk21_1(X11))
| p101(X11)
| ~ p100(X11)
| ~ epred1_1(X11) )
& ( ~ p102(esk21_1(X11))
| p101(X11)
| ~ p100(X11)
| ~ epred1_1(X11) )
& ( p101(esk21_1(X11))
| p101(X11)
| ~ p100(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X32)
| ~ p11(X32)
| ~ p110(X32)
| p11(X11)
| ~ p110(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X33)
| p11(X33)
| ~ p110(X33)
| ~ p11(X11)
| ~ p110(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X34)
| ~ p10(X34)
| ~ p109(X34)
| p10(X11)
| ~ p109(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X35)
| p10(X35)
| ~ p109(X35)
| ~ p10(X11)
| ~ p109(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X36)
| ~ p9(X36)
| ~ p108(X36)
| p9(X11)
| ~ p108(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X37)
| p9(X37)
| ~ p108(X37)
| ~ p9(X11)
| ~ p108(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X38)
| ~ p8(X38)
| ~ p107(X38)
| p8(X11)
| ~ p107(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X39)
| p8(X39)
| ~ p107(X39)
| ~ p8(X11)
| ~ p107(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X40)
| ~ p7(X40)
| ~ p106(X40)
| p7(X11)
| ~ p106(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X41)
| p7(X41)
| ~ p106(X41)
| ~ p7(X11)
| ~ p106(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X42)
| ~ p6(X42)
| ~ p105(X42)
| p6(X11)
| ~ p105(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X43)
| p6(X43)
| ~ p105(X43)
| ~ p6(X11)
| ~ p105(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X44)
| ~ p5(X44)
| ~ p104(X44)
| p5(X11)
| ~ p104(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X45)
| p5(X45)
| ~ p104(X45)
| ~ p5(X11)
| ~ p104(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X46)
| ~ p4(X46)
| ~ p103(X46)
| p4(X11)
| ~ p103(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X47)
| p4(X47)
| ~ p103(X47)
| ~ p4(X11)
| ~ p103(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X48)
| ~ p3(X48)
| ~ p102(X48)
| p3(X11)
| ~ p102(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X49)
| p3(X49)
| ~ p102(X49)
| ~ p3(X11)
| ~ p102(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X50)
| ~ p2(X50)
| ~ p101(X50)
| p2(X11)
| ~ p101(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X51)
| p2(X51)
| ~ p101(X51)
| ~ p2(X11)
| ~ p101(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X52)
| ~ p1(X52)
| ~ p100(X52)
| p1(X11)
| ~ p100(X11)
| ~ epred1_1(X11) )
& ( ~ r1(X11,X53)
| p1(X53)
| ~ p100(X53)
| ~ p1(X11)
| ~ p100(X11)
| ~ epred1_1(X11) )
& ( p110(X11)
| ~ p111(X11)
| ~ epred1_1(X11) )
& ( p109(X11)
| ~ p110(X11)
| ~ epred1_1(X11) )
& ( p108(X11)
| ~ p109(X11)
| ~ epred1_1(X11) )
& ( p107(X11)
| ~ p108(X11)
| ~ epred1_1(X11) )
& ( p106(X11)
| ~ p107(X11)
| ~ epred1_1(X11) )
& ( p105(X11)
| ~ p106(X11)
| ~ epred1_1(X11) )
& ( p104(X11)
| ~ p105(X11)
| ~ epred1_1(X11) )
& ( p103(X11)
| ~ p104(X11)
| ~ epred1_1(X11) )
& ( p102(X11)
| ~ p103(X11)
| ~ epred1_1(X11) )
& ( p101(X11)
| ~ p102(X11)
| ~ epred1_1(X11) )
& ( p100(X11)
| ~ p101(X11)
| ~ epred1_1(X11) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
cnf(c_0_9,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( r1(X1,esk21_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,negated_conjecture,
r1(esk1_0,esk21_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_16,plain,
( p101(esk21_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( p101(X1)
| ~ p102(esk21_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_18,plain,
! [X8,X9,X10] :
( ~ r1(X8,X9)
| ~ r1(X9,X10)
| r1(X8,X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])])]) ).
cnf(c_0_19,plain,
( r1(X1,esk19_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
epred1_1(esk21_1(esk1_0)),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
p101(esk21_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_22,negated_conjecture,
~ p102(esk21_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_12])]),c_0_14]) ).
cnf(c_0_23,plain,
( r1(X1,X3)
| ~ r1(X1,X2)
| ~ r1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
r1(esk21_1(esk1_0),esk19_1(esk21_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_25,plain,
( p102(X1)
| ~ p103(esk19_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,negated_conjecture,
( r1(X1,esk19_1(esk21_1(esk1_0)))
| ~ r1(X1,esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
( p102(esk19_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_28,negated_conjecture,
( ~ epred1_1(esk21_1(esk1_0))
| ~ p103(esk19_1(esk21_1(esk1_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_21]),c_0_22]) ).
cnf(c_0_29,plain,
( r1(X1,esk16_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,negated_conjecture,
epred1_1(esk19_1(esk21_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_26]),c_0_15])]) ).
cnf(c_0_31,plain,
p102(esk19_1(esk21_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_32,negated_conjecture,
~ p103(esk19_1(esk21_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_20])]) ).
cnf(c_0_33,negated_conjecture,
r1(esk19_1(esk21_1(esk1_0)),esk16_1(esk19_1(esk21_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_34,plain,
( p103(X1)
| ~ p104(esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_35,negated_conjecture,
( r1(X1,esk16_1(esk19_1(esk21_1(esk1_0))))
| ~ r1(X1,esk19_1(esk21_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_23,c_0_33]) ).
cnf(c_0_36,plain,
( p104(X1)
| ~ p5(esk14_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,negated_conjecture,
( p5(X1)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_38,plain,
( p103(esk16_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,plain,
( ~ epred1_1(esk19_1(esk21_1(esk1_0)))
| ~ p104(esk16_1(esk19_1(esk21_1(esk1_0)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_31]),c_0_32]) ).
cnf(c_0_40,negated_conjecture,
( epred1_1(esk16_1(esk19_1(esk21_1(esk1_0))))
| ~ r1(esk1_0,esk19_1(esk21_1(esk1_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ r1(esk1_0,esk14_1(X1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
p103(esk16_1(esk19_1(esk21_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_30]),c_0_31])]),c_0_32]) ).
cnf(c_0_43,plain,
~ p104(esk16_1(esk19_1(esk21_1(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_30])]) ).
cnf(c_0_44,plain,
( r1(X1,esk14_1(X1))
| p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_45,negated_conjecture,
epred1_1(esk16_1(esk19_1(esk21_1(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_26]),c_0_15])]) ).
cnf(c_0_46,negated_conjecture,
( ~ epred1_1(esk16_1(esk19_1(esk21_1(esk1_0))))
| ~ r1(esk1_0,esk14_1(esk16_1(esk19_1(esk21_1(esk1_0))))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_47,plain,
r1(esk16_1(esk19_1(esk21_1(esk1_0))),esk14_1(esk16_1(esk19_1(esk21_1(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_42])]),c_0_43]) ).
cnf(c_0_48,negated_conjecture,
~ r1(esk1_0,esk14_1(esk16_1(esk19_1(esk21_1(esk1_0))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_45])]) ).
cnf(c_0_49,plain,
( r1(X1,esk14_1(esk16_1(esk19_1(esk21_1(esk1_0)))))
| ~ r1(X1,esk16_1(esk19_1(esk21_1(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_23,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( r1(X1,esk16_1(esk19_1(esk21_1(esk1_0))))
| ~ r1(X2,esk19_1(esk21_1(esk1_0)))
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_35]) ).
cnf(c_0_51,negated_conjecture,
~ r1(esk1_0,esk16_1(esk19_1(esk21_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_52,negated_conjecture,
( r1(X1,esk16_1(esk19_1(esk21_1(esk1_0))))
| ~ r1(X1,esk21_1(esk1_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_24]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL674+1.010 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n003.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 : 300
% 0.12/0.33 % DateTime : Mon May 20 02:28:52 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.56 # Version: 3.1.0
% 0.18/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.56 # Starting sh5l with 300s (1) cores
% 0.18/0.56 # sh5l with pid 8056 completed with status 0
% 0.18/0.56 # Result found by sh5l
% 0.18/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.56 # Starting sh5l with 300s (1) cores
% 0.18/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.56 # Search class: FGUNF-FSMF11-SFFFFFNN
% 0.18/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.56 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 181s (1) cores
% 0.18/0.56 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 8064 completed with status 0
% 0.18/0.56 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.18/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.56 # Starting sh5l with 300s (1) cores
% 0.18/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.56 # Search class: FGUNF-FSMF11-SFFFFFNN
% 0.18/0.56 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.56 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 181s (1) cores
% 0.18/0.56 # Preprocessing time : 0.002 s
% 0.18/0.56 # Presaturation interreduction done
% 0.18/0.56
% 0.18/0.56 # Proof found!
% 0.18/0.56 # SZS status Theorem
% 0.18/0.56 # SZS output start CNFRefutation
% See solution above
% 0.18/0.56 # Parsed axioms : 3
% 0.18/0.56 # Removed by relevancy pruning/SinE : 0
% 0.18/0.56 # Initial clauses : 119
% 0.18/0.56 # Removed in clause preprocessing : 0
% 0.18/0.56 # Initial clauses in saturation : 119
% 0.18/0.56 # Processed clauses : 1641
% 0.18/0.56 # ...of these trivial : 0
% 0.18/0.56 # ...subsumed : 657
% 0.18/0.56 # ...remaining for further processing : 984
% 0.18/0.56 # Other redundant clauses eliminated : 0
% 0.18/0.56 # Clauses deleted for lack of memory : 0
% 0.18/0.56 # Backward-subsumed : 10
% 0.18/0.56 # Backward-rewritten : 133
% 0.18/0.56 # Generated clauses : 3049
% 0.18/0.56 # ...of the previous two non-redundant : 2952
% 0.18/0.56 # ...aggressively subsumed : 0
% 0.18/0.56 # Contextual simplify-reflections : 9
% 0.18/0.56 # Paramodulations : 3049
% 0.18/0.56 # Factorizations : 0
% 0.18/0.56 # NegExts : 0
% 0.18/0.56 # Equation resolutions : 0
% 0.18/0.56 # Disequality decompositions : 0
% 0.18/0.56 # Total rewrite steps : 1463
% 0.18/0.56 # ...of those cached : 1399
% 0.18/0.56 # Propositional unsat checks : 0
% 0.18/0.56 # Propositional check models : 0
% 0.18/0.56 # Propositional check unsatisfiable : 0
% 0.18/0.56 # Propositional clauses : 0
% 0.18/0.56 # Propositional clauses after purity: 0
% 0.18/0.56 # Propositional unsat core size : 0
% 0.18/0.56 # Propositional preprocessing time : 0.000
% 0.18/0.56 # Propositional encoding time : 0.000
% 0.18/0.56 # Propositional solver time : 0.000
% 0.18/0.56 # Success case prop preproc time : 0.000
% 0.18/0.56 # Success case prop encoding time : 0.000
% 0.18/0.56 # Success case prop solver time : 0.000
% 0.18/0.56 # Current number of processed clauses : 722
% 0.18/0.56 # Positive orientable unit clauses : 92
% 0.18/0.56 # Positive unorientable unit clauses: 0
% 0.18/0.56 # Negative unit clauses : 180
% 0.18/0.56 # Non-unit-clauses : 450
% 0.18/0.56 # Current number of unprocessed clauses: 1511
% 0.18/0.56 # ...number of literals in the above : 6855
% 0.18/0.56 # Current number of archived formulas : 0
% 0.18/0.56 # Current number of archived clauses : 262
% 0.18/0.56 # Clause-clause subsumption calls (NU) : 23693
% 0.18/0.56 # Rec. Clause-clause subsumption calls : 10030
% 0.18/0.56 # Non-unit clause-clause subsumptions : 152
% 0.18/0.56 # Unit Clause-clause subsumption calls : 9148
% 0.18/0.56 # Rewrite failures with RHS unbound : 0
% 0.18/0.56 # BW rewrite match attempts : 73
% 0.18/0.56 # BW rewrite match successes : 14
% 0.18/0.56 # Condensation attempts : 0
% 0.18/0.56 # Condensation successes : 0
% 0.18/0.56 # Termbank termtop insertions : 73835
% 0.18/0.56 # Search garbage collected termcells : 1671
% 0.18/0.56
% 0.18/0.56 # -------------------------------------------------
% 0.18/0.56 # User time : 0.086 s
% 0.18/0.56 # System time : 0.001 s
% 0.18/0.56 # Total time : 0.087 s
% 0.18/0.56 # Maximum resident set size: 2308 pages
% 0.18/0.56
% 0.18/0.56 # -------------------------------------------------
% 0.18/0.56 # User time : 0.089 s
% 0.18/0.56 # System time : 0.002 s
% 0.18/0.56 # Total time : 0.091 s
% 0.18/0.56 # Maximum resident set size: 1744 pages
% 0.18/0.56 % E---3.1 exiting
% 0.18/0.56 % E exiting
%------------------------------------------------------------------------------