%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:55:45 AM UTC 2026
% Result : Theorem 3.39s 1.49s
% Output : Refutation 5.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 25
% Syntax : Number of formulae : 94 ( 28 unt; 22 def)
% Number of atoms : 2154 ( 0 equ)
% Maximal formula atoms : 226 ( 22 avg)
% Number of connectives : 3618 (1558 ~;1058 |;1001 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 10 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 47 ( 46 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 445 ( 361 !; 84 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X0,X1)
& r1(X1,X2) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p11(X0)
& ~ p111(X0)
& p110(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p11(X0)
& ~ p111(X0)
& p110(X0) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p10(X0)
& ~ p110(X0)
& p109(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p10(X0)
& ~ p110(X0)
& p109(X0) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p9(X0)
& ~ p109(X0)
& p108(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p9(X0)
& ~ p109(X0)
& p108(X0) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p8(X0)
& ~ p108(X0)
& p107(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p8(X0)
& ~ p108(X0)
& p107(X0) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p7(X0)
& ~ p107(X0)
& p106(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p7(X0)
& ~ p107(X0)
& p106(X0) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p11(X0)
| ~ p110(X0) )
| p11(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p11(X0)
| ~ p110(X0) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p10(X0)
| ~ p109(X0) )
| p10(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p10(X0)
| ~ p109(X0) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p9(X0)
| ~ p108(X0) )
| p9(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p9(X0)
| ~ p108(X0) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p8(X0)
| ~ p107(X0) )
| p8(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p8(X0)
| ~ p107(X0) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p7(X0)
| ~ p106(X0) )
| p7(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p7(X0)
| ~ p106(X0) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ 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(X0)
& p100(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ( ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p11(X0)
& ~ p111(X0)
& p110(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p11(X0)
& ~ p111(X0)
& p110(X0) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p10(X0)
& ~ p110(X0)
& p109(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p10(X0)
& ~ p110(X0)
& p109(X0) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p9(X0)
& ~ p109(X0)
& p108(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p9(X0)
& ~ p109(X0)
& p108(X0) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p8(X0)
& ~ p108(X0)
& p107(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p8(X0)
& ~ p108(X0)
& p107(X0) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p7(X0)
& ~ p107(X0)
& p106(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p7(X0)
& ~ p107(X0)
& p106(X0) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p6(X0)
& ~ p106(X0)
& p105(X0) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p5(X0)
& ~ p105(X0)
& p104(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p5(X0)
& ~ p105(X0)
& p104(X0) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p4(X0)
& ~ p104(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p4(X0)
& ~ p104(X0)
& p103(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p3(X0)
& ~ p103(X0)
& p102(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
& ~ p103(X0)
& p102(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p2(X0)
& ~ p102(X0)
& p101(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
& ~ p102(X0)
& p101(X0) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p11(X0)
| ~ p110(X0) )
| p11(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p11(X0)
| ~ p110(X0) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p10(X0)
| ~ p109(X0) )
| p10(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p10(X0)
| ~ p109(X0) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p9(X0)
| ~ p108(X0) )
| p9(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p9(X0)
| ~ p108(X0) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p8(X0)
| ~ p107(X0) )
| p8(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p8(X0)
| ~ p107(X0) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p7(X0)
| ~ p106(X0) )
| p7(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p7(X0)
| ~ p106(X0) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p6(X0)
| ~ p105(X0) )
| p6(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0)
| ~ p104(X0) )
| p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p4(X0)
| ~ p103(X0) )
| p4(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p4(X0)
| ~ p103(X0) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ~ p102(X0) )
| p3(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p3(X0)
| ~ p102(X0) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p2(X0)
| ~ p101(X0) )
| p2(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p1(X0)
| ~ p100(X0) )
| ~ 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(X0)
& p100(X0) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
| ~ ( ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ( ~ p11(X3)
& ~ p111(X3)
& p110(X3) ) )
& ~ ! [X4] :
( ~ r1(X2,X4)
| ~ ( p11(X4)
& ~ p111(X4)
& p110(X4) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X5] :
( ~ r1(X2,X5)
| ~ ( ~ p10(X5)
& ~ p110(X5)
& p109(X5) ) )
& ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( p10(X6)
& ~ p110(X6)
& p109(X6) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X7] :
( ~ r1(X2,X7)
| ~ ( ~ p9(X7)
& ~ p109(X7)
& p108(X7) ) )
& ~ ! [X8] :
( ~ r1(X2,X8)
| ~ ( p9(X8)
& ~ p109(X8)
& p108(X8) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X9] :
( ~ r1(X2,X9)
| ~ ( ~ p8(X9)
& ~ p108(X9)
& p107(X9) ) )
& ~ ! [X10] :
( ~ r1(X2,X10)
| ~ ( p8(X10)
& ~ p108(X10)
& p107(X10) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X11] :
( ~ r1(X2,X11)
| ~ ( ~ p7(X11)
& ~ p107(X11)
& p106(X11) ) )
& ~ ! [X12] :
( ~ r1(X2,X12)
| ~ ( p7(X12)
& ~ p107(X12)
& p106(X12) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X13] :
( ~ r1(X2,X13)
| ~ ( ~ p6(X13)
& ~ p106(X13)
& p105(X13) ) )
& ~ ! [X14] :
( ~ r1(X2,X14)
| ~ ( p6(X14)
& ~ p106(X14)
& p105(X14) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X15] :
( ~ r1(X2,X15)
| ~ ( ~ p5(X15)
& ~ p105(X15)
& p104(X15) ) )
& ~ ! [X16] :
( ~ r1(X2,X16)
| ~ ( p5(X16)
& ~ p105(X16)
& p104(X16) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X17] :
( ~ r1(X2,X17)
| ~ ( ~ p4(X17)
& ~ p104(X17)
& p103(X17) ) )
& ~ ! [X18] :
( ~ r1(X2,X18)
| ~ ( p4(X18)
& ~ p104(X18)
& p103(X18) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X19] :
( ~ r1(X2,X19)
| ~ ( ~ p3(X19)
& ~ p103(X19)
& p102(X19) ) )
& ~ ! [X20] :
( ~ r1(X2,X20)
| ~ ( p3(X20)
& ~ p103(X20)
& p102(X20) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X21] :
( ~ r1(X2,X21)
| ~ ( ~ p2(X21)
& ~ p102(X21)
& p101(X21) ) )
& ~ ! [X22] :
( ~ r1(X2,X22)
| ~ ( p2(X22)
& ~ p102(X22)
& p101(X22) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p11(X23)
| ~ p110(X23) )
| p11(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p11(X24)
| ~ p110(X24) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X25] :
( ~ r1(X2,X25)
| ~ p10(X25)
| ~ p109(X25) )
| p10(X2) )
& ( ! [X26] :
( ~ r1(X2,X26)
| p10(X26)
| ~ p109(X26) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X27] :
( ~ r1(X2,X27)
| ~ p9(X27)
| ~ p108(X27) )
| p9(X2) )
& ( ! [X28] :
( ~ r1(X2,X28)
| p9(X28)
| ~ p108(X28) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X29] :
( ~ r1(X2,X29)
| ~ p8(X29)
| ~ p107(X29) )
| p8(X2) )
& ( ! [X30] :
( ~ r1(X2,X30)
| p8(X30)
| ~ p107(X30) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X31] :
( ~ r1(X2,X31)
| ~ p7(X31)
| ~ p106(X31) )
| p7(X2) )
& ( ! [X32] :
( ~ r1(X2,X32)
| p7(X32)
| ~ p106(X32) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X33] :
( ~ r1(X2,X33)
| ~ p6(X33)
| ~ p105(X33) )
| p6(X2) )
& ( ! [X34] :
( ~ r1(X2,X34)
| p6(X34)
| ~ p105(X34) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X35] :
( ~ r1(X2,X35)
| ~ p5(X35)
| ~ p104(X35) )
| p5(X2) )
& ( ! [X36] :
( ~ r1(X2,X36)
| p5(X36)
| ~ p104(X36) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X37] :
( ~ r1(X2,X37)
| ~ p4(X37)
| ~ p103(X37) )
| p4(X2) )
& ( ! [X38] :
( ~ r1(X2,X38)
| p4(X38)
| ~ p103(X38) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X39] :
( ~ r1(X2,X39)
| ~ p3(X39)
| ~ p102(X39) )
| p3(X2) )
& ( ! [X40] :
( ~ r1(X2,X40)
| p3(X40)
| ~ p102(X40) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X41] :
( ~ r1(X2,X41)
| ~ p2(X41)
| ~ p101(X41) )
| p2(X2) )
& ( ! [X42] :
( ~ r1(X2,X42)
| p2(X42)
| ~ p101(X42) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p1(X43)
| ~ p100(X43) )
| p1(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p1(X44)
| ~ p100(X44) )
| ~ 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(X0)
& p100(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
| ~ ( ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ( ~ p11(X3)
& ~ p111(X3)
& p110(X3) ) )
& ~ ! [X4] :
( ~ r1(X2,X4)
| ~ ( p11(X4)
& ~ p111(X4)
& p110(X4) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X5] :
( ~ r1(X2,X5)
| ~ ( ~ p10(X5)
& ~ p110(X5)
& p109(X5) ) )
& ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( p10(X6)
& ~ p110(X6)
& p109(X6) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X7] :
( ~ r1(X2,X7)
| ~ ( ~ p9(X7)
& ~ p109(X7)
& p108(X7) ) )
& ~ ! [X8] :
( ~ r1(X2,X8)
| ~ ( p9(X8)
& ~ p109(X8)
& p108(X8) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X9] :
( ~ r1(X2,X9)
| ~ ( ~ p8(X9)
& ~ p108(X9)
& p107(X9) ) )
& ~ ! [X10] :
( ~ r1(X2,X10)
| ~ ( p8(X10)
& ~ p108(X10)
& p107(X10) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X11] :
( ~ r1(X2,X11)
| ~ ( ~ p7(X11)
& ~ p107(X11)
& p106(X11) ) )
& ~ ! [X12] :
( ~ r1(X2,X12)
| ~ ( p7(X12)
& ~ p107(X12)
& p106(X12) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X13] :
( ~ r1(X2,X13)
| ~ ( ~ p6(X13)
& ~ p106(X13)
& p105(X13) ) )
& ~ ! [X14] :
( ~ r1(X2,X14)
| ~ ( p6(X14)
& ~ p106(X14)
& p105(X14) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X15] :
( ~ r1(X2,X15)
| ~ ( ~ p5(X15)
& ~ p105(X15)
& p104(X15) ) )
& ~ ! [X16] :
( ~ r1(X2,X16)
| ~ ( p5(X16)
& ~ p105(X16)
& p104(X16) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X17] :
( ~ r1(X2,X17)
| ~ ( ~ p4(X17)
& ~ p104(X17)
& p103(X17) ) )
& ~ ! [X18] :
( ~ r1(X2,X18)
| ~ ( p4(X18)
& ~ p104(X18)
& p103(X18) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X19] :
( ~ r1(X2,X19)
| ~ ( ~ p3(X19)
& ~ p103(X19)
& p102(X19) ) )
& ~ ! [X20] :
( ~ r1(X2,X20)
| ~ ( p3(X20)
& ~ p103(X20)
& p102(X20) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X21] :
( ~ r1(X2,X21)
| ~ ( ~ p2(X21)
& ~ p102(X21)
& p101(X21) ) )
& ~ ! [X22] :
( ~ r1(X2,X22)
| ~ ( p2(X22)
& ~ p102(X22)
& p101(X22) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p11(X23)
| ~ p110(X23) )
| p11(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p11(X24)
| ~ p110(X24) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X25] :
( ~ r1(X2,X25)
| ~ p10(X25)
| ~ p109(X25) )
| p10(X2) )
& ( ! [X26] :
( ~ r1(X2,X26)
| p10(X26)
| ~ p109(X26) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X27] :
( ~ r1(X2,X27)
| ~ p9(X27)
| ~ p108(X27) )
| p9(X2) )
& ( ! [X28] :
( ~ r1(X2,X28)
| p9(X28)
| ~ p108(X28) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X29] :
( ~ r1(X2,X29)
| ~ p8(X29)
| ~ p107(X29) )
| p8(X2) )
& ( ! [X30] :
( ~ r1(X2,X30)
| p8(X30)
| ~ p107(X30) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X31] :
( ~ r1(X2,X31)
| ~ p7(X31)
| ~ p106(X31) )
| p7(X2) )
& ( ! [X32] :
( ~ r1(X2,X32)
| p7(X32)
| ~ p106(X32) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X33] :
( ~ r1(X2,X33)
| ~ p6(X33)
| ~ p105(X33) )
| p6(X2) )
& ( ! [X34] :
( ~ r1(X2,X34)
| p6(X34)
| ~ p105(X34) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X35] :
( ~ r1(X2,X35)
| ~ p5(X35)
| ~ p104(X35) )
| p5(X2) )
& ( ! [X36] :
( ~ r1(X2,X36)
| p5(X36)
| ~ p104(X36) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X37] :
( ~ r1(X2,X37)
| ~ p4(X37)
| ~ p103(X37) )
| p4(X2) )
& ( ! [X38] :
( ~ r1(X2,X38)
| p4(X38)
| ~ p103(X38) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X39] :
( ~ r1(X2,X39)
| ~ p3(X39)
| ~ p102(X39) )
| p3(X2) )
& ( ! [X40] :
( ~ r1(X2,X40)
| p3(X40)
| ~ p102(X40) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X41] :
( ~ r1(X2,X41)
| ~ p2(X41)
| ~ p101(X41) )
| p2(X2) )
& ( ! [X42] :
( ~ r1(X2,X42)
| p2(X42)
| ~ p101(X42) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p1(X43)
| ~ p100(X43) )
| p1(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p1(X44)
| ~ p100(X44) )
| ~ 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(X0)
& p100(X0) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
| ~ ( ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ~ ! [X3] :
( ~ r1(X2,X3)
| ~ ( ~ p11(X3)
& p110(X3) ) )
& ~ ! [X4] :
( ~ r1(X2,X4)
| ~ ( p11(X4)
& p110(X4) ) ) )
| ~ ( ~ p110(X2)
& p109(X2) ) )
& ( ( ~ ! [X5] :
( ~ r1(X2,X5)
| ~ ( ~ p10(X5)
& ~ p110(X5)
& p109(X5) ) )
& ~ ! [X6] :
( ~ r1(X2,X6)
| ~ ( p10(X6)
& ~ p110(X6)
& p109(X6) ) ) )
| ~ ( ~ p109(X2)
& p108(X2) ) )
& ( ( ~ ! [X7] :
( ~ r1(X2,X7)
| ~ ( ~ p9(X7)
& ~ p109(X7)
& p108(X7) ) )
& ~ ! [X8] :
( ~ r1(X2,X8)
| ~ ( p9(X8)
& ~ p109(X8)
& p108(X8) ) ) )
| ~ ( ~ p108(X2)
& p107(X2) ) )
& ( ( ~ ! [X9] :
( ~ r1(X2,X9)
| ~ ( ~ p8(X9)
& ~ p108(X9)
& p107(X9) ) )
& ~ ! [X10] :
( ~ r1(X2,X10)
| ~ ( p8(X10)
& ~ p108(X10)
& p107(X10) ) ) )
| ~ ( ~ p107(X2)
& p106(X2) ) )
& ( ( ~ ! [X11] :
( ~ r1(X2,X11)
| ~ ( ~ p7(X11)
& ~ p107(X11)
& p106(X11) ) )
& ~ ! [X12] :
( ~ r1(X2,X12)
| ~ ( p7(X12)
& ~ p107(X12)
& p106(X12) ) ) )
| ~ ( ~ p106(X2)
& p105(X2) ) )
& ( ( ~ ! [X13] :
( ~ r1(X2,X13)
| ~ ( ~ p6(X13)
& ~ p106(X13)
& p105(X13) ) )
& ~ ! [X14] :
( ~ r1(X2,X14)
| ~ ( p6(X14)
& ~ p106(X14)
& p105(X14) ) ) )
| ~ ( ~ p105(X2)
& p104(X2) ) )
& ( ( ~ ! [X15] :
( ~ r1(X2,X15)
| ~ ( ~ p5(X15)
& ~ p105(X15)
& p104(X15) ) )
& ~ ! [X16] :
( ~ r1(X2,X16)
| ~ ( p5(X16)
& ~ p105(X16)
& p104(X16) ) ) )
| ~ ( ~ p104(X2)
& p103(X2) ) )
& ( ( ~ ! [X17] :
( ~ r1(X2,X17)
| ~ ( ~ p4(X17)
& ~ p104(X17)
& p103(X17) ) )
& ~ ! [X18] :
( ~ r1(X2,X18)
| ~ ( p4(X18)
& ~ p104(X18)
& p103(X18) ) ) )
| ~ ( ~ p103(X2)
& p102(X2) ) )
& ( ( ~ ! [X19] :
( ~ r1(X2,X19)
| ~ ( ~ p3(X19)
& ~ p103(X19)
& p102(X19) ) )
& ~ ! [X20] :
( ~ r1(X2,X20)
| ~ ( p3(X20)
& ~ p103(X20)
& p102(X20) ) ) )
| ~ ( ~ p102(X2)
& p101(X2) ) )
& ( ( ~ ! [X21] :
( ~ r1(X2,X21)
| ~ ( ~ p2(X21)
& ~ p102(X21)
& p101(X21) ) )
& ~ ! [X22] :
( ~ r1(X2,X22)
| ~ ( p2(X22)
& ~ p102(X22)
& p101(X22) ) ) )
| ~ ( ~ p101(X2)
& p100(X2) ) )
& ( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p11(X23)
| ~ p110(X23) )
| p11(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p11(X24)
| ~ p110(X24) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X25] :
( ~ r1(X2,X25)
| ~ p10(X25)
| ~ p109(X25) )
| p10(X2) )
& ( ! [X26] :
( ~ r1(X2,X26)
| p10(X26)
| ~ p109(X26) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X27] :
( ~ r1(X2,X27)
| ~ p9(X27)
| ~ p108(X27) )
| p9(X2) )
& ( ! [X28] :
( ~ r1(X2,X28)
| p9(X28)
| ~ p108(X28) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X29] :
( ~ r1(X2,X29)
| ~ p8(X29)
| ~ p107(X29) )
| p8(X2) )
& ( ! [X30] :
( ~ r1(X2,X30)
| p8(X30)
| ~ p107(X30) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X31] :
( ~ r1(X2,X31)
| ~ p7(X31)
| ~ p106(X31) )
| p7(X2) )
& ( ! [X32] :
( ~ r1(X2,X32)
| p7(X32)
| ~ p106(X32) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X33] :
( ~ r1(X2,X33)
| ~ p6(X33)
| ~ p105(X33) )
| p6(X2) )
& ( ! [X34] :
( ~ r1(X2,X34)
| p6(X34)
| ~ p105(X34) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X35] :
( ~ r1(X2,X35)
| ~ p5(X35)
| ~ p104(X35) )
| p5(X2) )
& ( ! [X36] :
( ~ r1(X2,X36)
| p5(X36)
| ~ p104(X36) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X37] :
( ~ r1(X2,X37)
| ~ p4(X37)
| ~ p103(X37) )
| p4(X2) )
& ( ! [X38] :
( ~ r1(X2,X38)
| p4(X38)
| ~ p103(X38) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X39] :
( ~ r1(X2,X39)
| ~ p3(X39)
| ~ p102(X39) )
| p3(X2) )
& ( ! [X40] :
( ~ r1(X2,X40)
| p3(X40)
| ~ p102(X40) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X41] :
( ~ r1(X2,X41)
| ~ p2(X41)
| ~ p101(X41) )
| p2(X2) )
& ( ! [X42] :
( ~ r1(X2,X42)
| p2(X42)
| ~ p101(X42) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p1(X43)
| ~ p100(X43) )
| p1(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p1(X44)
| ~ p100(X44) )
| ~ p1(X2) ) )
| ~ p100(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(X0)
& p100(X0) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ? [X3] :
( r1(X2,X3)
& ~ p11(X3)
& p110(X3) )
& ? [X4] :
( r1(X2,X4)
& p11(X4)
& p110(X4) ) )
| p110(X2)
| ~ p109(X2) )
& ( ( ? [X5] :
( r1(X2,X5)
& ~ p10(X5)
& ~ p110(X5)
& p109(X5) )
& ? [X6] :
( r1(X2,X6)
& p10(X6)
& ~ p110(X6)
& p109(X6) ) )
| p109(X2)
| ~ p108(X2) )
& ( ( ? [X7] :
( r1(X2,X7)
& ~ p9(X7)
& ~ p109(X7)
& p108(X7) )
& ? [X8] :
( r1(X2,X8)
& p9(X8)
& ~ p109(X8)
& p108(X8) ) )
| p108(X2)
| ~ p107(X2) )
& ( ( ? [X9] :
( r1(X2,X9)
& ~ p8(X9)
& ~ p108(X9)
& p107(X9) )
& ? [X10] :
( r1(X2,X10)
& p8(X10)
& ~ p108(X10)
& p107(X10) ) )
| p107(X2)
| ~ p106(X2) )
& ( ( ? [X11] :
( r1(X2,X11)
& ~ p7(X11)
& ~ p107(X11)
& p106(X11) )
& ? [X12] :
( r1(X2,X12)
& p7(X12)
& ~ p107(X12)
& p106(X12) ) )
| p106(X2)
| ~ p105(X2) )
& ( ( ? [X13] :
( r1(X2,X13)
& ~ p6(X13)
& ~ p106(X13)
& p105(X13) )
& ? [X14] :
( r1(X2,X14)
& p6(X14)
& ~ p106(X14)
& p105(X14) ) )
| p105(X2)
| ~ p104(X2) )
& ( ( ? [X15] :
( r1(X2,X15)
& ~ p5(X15)
& ~ p105(X15)
& p104(X15) )
& ? [X16] :
( r1(X2,X16)
& p5(X16)
& ~ p105(X16)
& p104(X16) ) )
| p104(X2)
| ~ p103(X2) )
& ( ( ? [X17] :
( r1(X2,X17)
& ~ p4(X17)
& ~ p104(X17)
& p103(X17) )
& ? [X18] :
( r1(X2,X18)
& p4(X18)
& ~ p104(X18)
& p103(X18) ) )
| p103(X2)
| ~ p102(X2) )
& ( ( ? [X19] :
( r1(X2,X19)
& ~ p3(X19)
& ~ p103(X19)
& p102(X19) )
& ? [X20] :
( r1(X2,X20)
& p3(X20)
& ~ p103(X20)
& p102(X20) ) )
| p102(X2)
| ~ p101(X2) )
& ( ( ? [X21] :
( r1(X2,X21)
& ~ p2(X21)
& ~ p102(X21)
& p101(X21) )
& ? [X22] :
( r1(X2,X22)
& p2(X22)
& ~ p102(X22)
& p101(X22) ) )
| p101(X2)
| ~ p100(X2) )
& ( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p11(X23)
| ~ p110(X23) )
| p11(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p11(X24)
| ~ p110(X24) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X25] :
( ~ r1(X2,X25)
| ~ p10(X25)
| ~ p109(X25) )
| p10(X2) )
& ( ! [X26] :
( ~ r1(X2,X26)
| p10(X26)
| ~ p109(X26) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X27] :
( ~ r1(X2,X27)
| ~ p9(X27)
| ~ p108(X27) )
| p9(X2) )
& ( ! [X28] :
( ~ r1(X2,X28)
| p9(X28)
| ~ p108(X28) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X29] :
( ~ r1(X2,X29)
| ~ p8(X29)
| ~ p107(X29) )
| p8(X2) )
& ( ! [X30] :
( ~ r1(X2,X30)
| p8(X30)
| ~ p107(X30) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X31] :
( ~ r1(X2,X31)
| ~ p7(X31)
| ~ p106(X31) )
| p7(X2) )
& ( ! [X32] :
( ~ r1(X2,X32)
| p7(X32)
| ~ p106(X32) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X33] :
( ~ r1(X2,X33)
| ~ p6(X33)
| ~ p105(X33) )
| p6(X2) )
& ( ! [X34] :
( ~ r1(X2,X34)
| p6(X34)
| ~ p105(X34) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X35] :
( ~ r1(X2,X35)
| ~ p5(X35)
| ~ p104(X35) )
| p5(X2) )
& ( ! [X36] :
( ~ r1(X2,X36)
| p5(X36)
| ~ p104(X36) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X37] :
( ~ r1(X2,X37)
| ~ p4(X37)
| ~ p103(X37) )
| p4(X2) )
& ( ! [X38] :
( ~ r1(X2,X38)
| p4(X38)
| ~ p103(X38) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X39] :
( ~ r1(X2,X39)
| ~ p3(X39)
| ~ p102(X39) )
| p3(X2) )
& ( ! [X40] :
( ~ r1(X2,X40)
| p3(X40)
| ~ p102(X40) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X41] :
( ~ r1(X2,X41)
| ~ p2(X41)
| ~ p101(X41) )
| p2(X2) )
& ( ! [X42] :
( ~ r1(X2,X42)
| p2(X42)
| ~ p101(X42) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p1(X43)
| ~ p100(X43) )
| p1(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p1(X44)
| ~ p100(X44) )
| ~ p1(X2) ) )
| ~ p100(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(X0)
& p100(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| ( ( ( ? [X3] :
( r1(X2,X3)
& ~ p11(X3)
& p110(X3) )
& ? [X4] :
( r1(X2,X4)
& p11(X4)
& p110(X4) ) )
| p110(X2)
| ~ p109(X2) )
& ( ( ? [X5] :
( r1(X2,X5)
& ~ p10(X5)
& ~ p110(X5)
& p109(X5) )
& ? [X6] :
( r1(X2,X6)
& p10(X6)
& ~ p110(X6)
& p109(X6) ) )
| p109(X2)
| ~ p108(X2) )
& ( ( ? [X7] :
( r1(X2,X7)
& ~ p9(X7)
& ~ p109(X7)
& p108(X7) )
& ? [X8] :
( r1(X2,X8)
& p9(X8)
& ~ p109(X8)
& p108(X8) ) )
| p108(X2)
| ~ p107(X2) )
& ( ( ? [X9] :
( r1(X2,X9)
& ~ p8(X9)
& ~ p108(X9)
& p107(X9) )
& ? [X10] :
( r1(X2,X10)
& p8(X10)
& ~ p108(X10)
& p107(X10) ) )
| p107(X2)
| ~ p106(X2) )
& ( ( ? [X11] :
( r1(X2,X11)
& ~ p7(X11)
& ~ p107(X11)
& p106(X11) )
& ? [X12] :
( r1(X2,X12)
& p7(X12)
& ~ p107(X12)
& p106(X12) ) )
| p106(X2)
| ~ p105(X2) )
& ( ( ? [X13] :
( r1(X2,X13)
& ~ p6(X13)
& ~ p106(X13)
& p105(X13) )
& ? [X14] :
( r1(X2,X14)
& p6(X14)
& ~ p106(X14)
& p105(X14) ) )
| p105(X2)
| ~ p104(X2) )
& ( ( ? [X15] :
( r1(X2,X15)
& ~ p5(X15)
& ~ p105(X15)
& p104(X15) )
& ? [X16] :
( r1(X2,X16)
& p5(X16)
& ~ p105(X16)
& p104(X16) ) )
| p104(X2)
| ~ p103(X2) )
& ( ( ? [X17] :
( r1(X2,X17)
& ~ p4(X17)
& ~ p104(X17)
& p103(X17) )
& ? [X18] :
( r1(X2,X18)
& p4(X18)
& ~ p104(X18)
& p103(X18) ) )
| p103(X2)
| ~ p102(X2) )
& ( ( ? [X19] :
( r1(X2,X19)
& ~ p3(X19)
& ~ p103(X19)
& p102(X19) )
& ? [X20] :
( r1(X2,X20)
& p3(X20)
& ~ p103(X20)
& p102(X20) ) )
| p102(X2)
| ~ p101(X2) )
& ( ( ? [X21] :
( r1(X2,X21)
& ~ p2(X21)
& ~ p102(X21)
& p101(X21) )
& ? [X22] :
( r1(X2,X22)
& p2(X22)
& ~ p102(X22)
& p101(X22) ) )
| p101(X2)
| ~ p100(X2) )
& ( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p11(X23)
| ~ p110(X23) )
| p11(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p11(X24)
| ~ p110(X24) )
| ~ p11(X2) ) )
| ~ p110(X2) )
& ( ( ( ! [X25] :
( ~ r1(X2,X25)
| ~ p10(X25)
| ~ p109(X25) )
| p10(X2) )
& ( ! [X26] :
( ~ r1(X2,X26)
| p10(X26)
| ~ p109(X26) )
| ~ p10(X2) ) )
| ~ p109(X2) )
& ( ( ( ! [X27] :
( ~ r1(X2,X27)
| ~ p9(X27)
| ~ p108(X27) )
| p9(X2) )
& ( ! [X28] :
( ~ r1(X2,X28)
| p9(X28)
| ~ p108(X28) )
| ~ p9(X2) ) )
| ~ p108(X2) )
& ( ( ( ! [X29] :
( ~ r1(X2,X29)
| ~ p8(X29)
| ~ p107(X29) )
| p8(X2) )
& ( ! [X30] :
( ~ r1(X2,X30)
| p8(X30)
| ~ p107(X30) )
| ~ p8(X2) ) )
| ~ p107(X2) )
& ( ( ( ! [X31] :
( ~ r1(X2,X31)
| ~ p7(X31)
| ~ p106(X31) )
| p7(X2) )
& ( ! [X32] :
( ~ r1(X2,X32)
| p7(X32)
| ~ p106(X32) )
| ~ p7(X2) ) )
| ~ p106(X2) )
& ( ( ( ! [X33] :
( ~ r1(X2,X33)
| ~ p6(X33)
| ~ p105(X33) )
| p6(X2) )
& ( ! [X34] :
( ~ r1(X2,X34)
| p6(X34)
| ~ p105(X34) )
| ~ p6(X2) ) )
| ~ p105(X2) )
& ( ( ( ! [X35] :
( ~ r1(X2,X35)
| ~ p5(X35)
| ~ p104(X35) )
| p5(X2) )
& ( ! [X36] :
( ~ r1(X2,X36)
| p5(X36)
| ~ p104(X36) )
| ~ p5(X2) ) )
| ~ p104(X2) )
& ( ( ( ! [X37] :
( ~ r1(X2,X37)
| ~ p4(X37)
| ~ p103(X37) )
| p4(X2) )
& ( ! [X38] :
( ~ r1(X2,X38)
| p4(X38)
| ~ p103(X38) )
| ~ p4(X2) ) )
| ~ p103(X2) )
& ( ( ( ! [X39] :
( ~ r1(X2,X39)
| ~ p3(X39)
| ~ p102(X39) )
| p3(X2) )
& ( ! [X40] :
( ~ r1(X2,X40)
| p3(X40)
| ~ p102(X40) )
| ~ p3(X2) ) )
| ~ p102(X2) )
& ( ( ( ! [X41] :
( ~ r1(X2,X41)
| ~ p2(X41)
| ~ p101(X41) )
| p2(X2) )
& ( ! [X42] :
( ~ r1(X2,X42)
| p2(X42)
| ~ p101(X42) )
| ~ p2(X2) ) )
| ~ p101(X2) )
& ( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p1(X43)
| ~ p100(X43) )
| p1(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p1(X44)
| ~ p100(X44) )
| ~ p1(X2) ) )
| ~ p100(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(X0)
& p100(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f11,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(flattening,[],[f10]) ).
fof(f12,definition,
! [X2] :
( ( ? [X21] :
( r1(X2,X21)
& ~ p2(X21)
& ~ p102(X21)
& p101(X21) )
& ? [X22] :
( r1(X2,X22)
& p2(X22)
& ~ p102(X22)
& p101(X22) ) )
| p101(X2)
| ~ p100(X2)
| ~ sP0(X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X2] :
( ( ? [X19] :
( r1(X2,X19)
& ~ p3(X19)
& ~ p103(X19)
& p102(X19) )
& ? [X20] :
( r1(X2,X20)
& p3(X20)
& ~ p103(X20)
& p102(X20) ) )
| p102(X2)
| ~ p101(X2)
| ~ sP1(X2) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X2] :
( ( ? [X17] :
( r1(X2,X17)
& ~ p4(X17)
& ~ p104(X17)
& p103(X17) )
& ? [X18] :
( r1(X2,X18)
& p4(X18)
& ~ p104(X18)
& p103(X18) ) )
| p103(X2)
| ~ p102(X2)
| ~ sP2(X2) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X2] :
( ( ? [X15] :
( r1(X2,X15)
& ~ p5(X15)
& ~ p105(X15)
& p104(X15) )
& ? [X16] :
( r1(X2,X16)
& p5(X16)
& ~ p105(X16)
& p104(X16) ) )
| p104(X2)
| ~ p103(X2)
| ~ sP3(X2) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X2] :
( ( ? [X13] :
( r1(X2,X13)
& ~ p6(X13)
& ~ p106(X13)
& p105(X13) )
& ? [X14] :
( r1(X2,X14)
& p6(X14)
& ~ p106(X14)
& p105(X14) ) )
| p105(X2)
| ~ p104(X2)
| ~ sP4(X2) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [X2] :
( ( ? [X11] :
( r1(X2,X11)
& ~ p7(X11)
& ~ p107(X11)
& p106(X11) )
& ? [X12] :
( r1(X2,X12)
& p7(X12)
& ~ p107(X12)
& p106(X12) ) )
| p106(X2)
| ~ p105(X2)
| ~ sP5(X2) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X2] :
( ( ? [X9] :
( r1(X2,X9)
& ~ p8(X9)
& ~ p108(X9)
& p107(X9) )
& ? [X10] :
( r1(X2,X10)
& p8(X10)
& ~ p108(X10)
& p107(X10) ) )
| p107(X2)
| ~ p106(X2)
| ~ sP6(X2) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X2] :
( ( ? [X7] :
( r1(X2,X7)
& ~ p9(X7)
& ~ p109(X7)
& p108(X7) )
& ? [X8] :
( r1(X2,X8)
& p9(X8)
& ~ p109(X8)
& p108(X8) ) )
| p108(X2)
| ~ p107(X2)
| ~ sP7(X2) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X2] :
( ( ? [X5] :
( r1(X2,X5)
& ~ p10(X5)
& ~ p110(X5)
& p109(X5) )
& ? [X6] :
( r1(X2,X6)
& p10(X6)
& ~ p110(X6)
& p109(X6) ) )
| p109(X2)
| ~ p108(X2)
| ~ sP8(X2) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X2] :
( ( ? [X3] :
( r1(X2,X3)
& ~ p11(X3)
& p110(X3) )
& ? [X4] :
( r1(X2,X4)
& p11(X4)
& p110(X4) ) )
| p110(X2)
| ~ p109(X2)
| ~ sP9(X2) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f22,definition,
! [X2] :
( ( ( ! [X43] :
( ~ r1(X2,X43)
| ~ p1(X43)
| ~ p100(X43) )
| p1(X2) )
& ( ! [X44] :
( ~ r1(X2,X44)
| p1(X44)
| ~ p100(X44) )
| ~ p1(X2) ) )
| ~ p100(X2)
| ~ sP10(X2) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X2] :
( ( ( ! [X41] :
( ~ r1(X2,X41)
| ~ p2(X41)
| ~ p101(X41) )
| p2(X2) )
& ( ! [X42] :
( ~ r1(X2,X42)
| p2(X42)
| ~ p101(X42) )
| ~ p2(X2) ) )
| ~ p101(X2)
| ~ sP11(X2) ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f24,definition,
! [X2] :
( ( ( ! [X39] :
( ~ r1(X2,X39)
| ~ p3(X39)
| ~ p102(X39) )
| p3(X2) )
& ( ! [X40] :
( ~ r1(X2,X40)
| p3(X40)
| ~ p102(X40) )
| ~ p3(X2) ) )
| ~ p102(X2)
| ~ sP12(X2) ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f25,definition,
! [X2] :
( ( ( ! [X37] :
( ~ r1(X2,X37)
| ~ p4(X37)
| ~ p103(X37) )
| p4(X2) )
& ( ! [X38] :
( ~ r1(X2,X38)
| p4(X38)
| ~ p103(X38) )
| ~ p4(X2) ) )
| ~ p103(X2)
| ~ sP13(X2) ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f26,definition,
! [X2] :
( ( ( ! [X35] :
( ~ r1(X2,X35)
| ~ p5(X35)
| ~ p104(X35) )
| p5(X2) )
& ( ! [X36] :
( ~ r1(X2,X36)
| p5(X36)
| ~ p104(X36) )
| ~ p5(X2) ) )
| ~ p104(X2)
| ~ sP14(X2) ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f27,definition,
! [X2] :
( ( ( ! [X33] :
( ~ r1(X2,X33)
| ~ p6(X33)
| ~ p105(X33) )
| p6(X2) )
& ( ! [X34] :
( ~ r1(X2,X34)
| p6(X34)
| ~ p105(X34) )
| ~ p6(X2) ) )
| ~ p105(X2)
| ~ sP15(X2) ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f28,definition,
! [X2] :
( ( ( ! [X31] :
( ~ r1(X2,X31)
| ~ p7(X31)
| ~ p106(X31) )
| p7(X2) )
& ( ! [X32] :
( ~ r1(X2,X32)
| p7(X32)
| ~ p106(X32) )
| ~ p7(X2) ) )
| ~ p106(X2)
| ~ sP16(X2) ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f29,definition,
! [X2] :
( ( ( ! [X29] :
( ~ r1(X2,X29)
| ~ p8(X29)
| ~ p107(X29) )
| p8(X2) )
& ( ! [X30] :
( ~ r1(X2,X30)
| p8(X30)
| ~ p107(X30) )
| ~ p8(X2) ) )
| ~ p107(X2)
| ~ sP17(X2) ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f30,definition,
! [X2] :
( ( ( ! [X27] :
( ~ r1(X2,X27)
| ~ p9(X27)
| ~ p108(X27) )
| p9(X2) )
& ( ! [X28] :
( ~ r1(X2,X28)
| p9(X28)
| ~ p108(X28) )
| ~ p9(X2) ) )
| ~ p108(X2)
| ~ sP18(X2) ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f31,definition,
! [X2] :
( ( ( ! [X25] :
( ~ r1(X2,X25)
| ~ p10(X25)
| ~ p109(X25) )
| p10(X2) )
& ( ! [X26] :
( ~ r1(X2,X26)
| p10(X26)
| ~ p109(X26) )
| ~ p10(X2) ) )
| ~ p109(X2)
| ~ sP19(X2) ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f32,definition,
! [X2] :
( ( ( ! [X23] :
( ~ r1(X2,X23)
| ~ p11(X23)
| ~ p110(X23) )
| p11(X2) )
& ( ! [X24] :
( ~ r1(X2,X24)
| p11(X24)
| ~ p110(X24) )
| ~ p11(X2) ) )
| ~ p110(X2)
| ~ sP20(X2) ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f33,definition,
! [X2] :
( ( sP9(X2)
& sP8(X2)
& sP7(X2)
& sP6(X2)
& sP5(X2)
& sP4(X2)
& sP3(X2)
& sP2(X2)
& sP1(X2)
& sP0(X2)
& sP20(X2)
& sP19(X2)
& sP18(X2)
& sP17(X2)
& sP16(X2)
& sP15(X2)
& sP14(X2)
& sP13(X2)
& sP12(X2)
& sP11(X2)
& sP10(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) ) )
| ~ sP21(X2) ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f34,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p5(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| sP21(X2) )
& ~ p101(X0)
& p100(X0) ),
inference(definition_folding,[],[f9,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f35,plain,
! [X2] :
( ( sP9(X2)
& sP8(X2)
& sP7(X2)
& sP6(X2)
& sP5(X2)
& sP4(X2)
& sP3(X2)
& sP2(X2)
& sP1(X2)
& sP0(X2)
& sP20(X2)
& sP19(X2)
& sP18(X2)
& sP17(X2)
& sP16(X2)
& sP15(X2)
& sP14(X2)
& sP13(X2)
& sP12(X2)
& sP11(X2)
& sP10(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) ) )
| ~ sP21(X2) ),
inference(nnf_transformation,[],[f33]) ).
fof(f36,plain,
! [X0] :
( ( sP9(X0)
& sP8(X0)
& sP7(X0)
& sP6(X0)
& sP5(X0)
& sP4(X0)
& sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0)
& sP20(X0)
& sP19(X0)
& sP18(X0)
& sP17(X0)
& sP16(X0)
& sP15(X0)
& sP14(X0)
& sP13(X0)
& sP12(X0)
& sP11(X0)
& sP10(X0)
& ( p109(X0)
| ~ p110(X0) )
& ( p108(X0)
| ~ p109(X0) )
& ( p107(X0)
| ~ p108(X0) )
& ( p106(X0)
| ~ p107(X0) )
& ( p105(X0)
| ~ p106(X0) )
& ( p104(X0)
| ~ p105(X0) )
& ( p103(X0)
| ~ p104(X0) )
& ( p102(X0)
| ~ p103(X0) )
& ( p101(X0)
| ~ p102(X0) )
& ( p100(X0)
| ~ p101(X0) ) )
| ~ sP21(X0) ),
inference(rectify,[],[f35]) ).
fof(f77,plain,
! [X2] :
( ( ? [X15] :
( r1(X2,X15)
& ~ p5(X15)
& ~ p105(X15)
& p104(X15) )
& ? [X16] :
( r1(X2,X16)
& p5(X16)
& ~ p105(X16)
& p104(X16) ) )
| p104(X2)
| ~ p103(X2)
| ~ sP3(X2) ),
inference(nnf_transformation,[],[f15]) ).
fof(f78,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p5(X1)
& ~ p105(X1)
& p104(X1) )
& ? [X2] :
( r1(X0,X2)
& p5(X2)
& ~ p105(X2)
& p104(X2) ) )
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(rectify,[],[f77]) ).
fof(f79,plain,
! [X0] :
( ( r1(X0,sK34(X0))
& ~ p5(sK34(X0))
& ~ p105(sK34(X0))
& p104(sK34(X0))
& r1(X0,sK35(X0))
& p5(sK35(X0))
& ~ p105(sK35(X0))
& p104(sK35(X0)) )
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X1,sK34(X0)),skolemize(X2,sK35(X0))],[f78]) ).
fof(f80,plain,
! [X2] :
( ( ? [X17] :
( r1(X2,X17)
& ~ p4(X17)
& ~ p104(X17)
& p103(X17) )
& ? [X18] :
( r1(X2,X18)
& p4(X18)
& ~ p104(X18)
& p103(X18) ) )
| p103(X2)
| ~ p102(X2)
| ~ sP2(X2) ),
inference(nnf_transformation,[],[f14]) ).
fof(f81,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p4(X1)
& ~ p104(X1)
& p103(X1) )
& ? [X2] :
( r1(X0,X2)
& p4(X2)
& ~ p104(X2)
& p103(X2) ) )
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(rectify,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ( r1(X0,sK36(X0))
& ~ p4(sK36(X0))
& ~ p104(sK36(X0))
& p103(sK36(X0))
& r1(X0,sK37(X0))
& p4(sK37(X0))
& ~ p104(sK37(X0))
& p103(sK37(X0)) )
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X1,sK36(X0)),skolemize(X2,sK37(X0))],[f81]) ).
fof(f83,plain,
! [X2] :
( ( ? [X19] :
( r1(X2,X19)
& ~ p3(X19)
& ~ p103(X19)
& p102(X19) )
& ? [X20] :
( r1(X2,X20)
& p3(X20)
& ~ p103(X20)
& p102(X20) ) )
| p102(X2)
| ~ p101(X2)
| ~ sP1(X2) ),
inference(nnf_transformation,[],[f13]) ).
fof(f84,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p3(X1)
& ~ p103(X1)
& p102(X1) )
& ? [X2] :
( r1(X0,X2)
& p3(X2)
& ~ p103(X2)
& p102(X2) ) )
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(rectify,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ( r1(X0,sK38(X0))
& ~ p3(sK38(X0))
& ~ p103(sK38(X0))
& p102(sK38(X0))
& r1(X0,sK39(X0))
& p3(sK39(X0))
& ~ p103(sK39(X0))
& p102(sK39(X0)) )
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X1,sK38(X0)),skolemize(X2,sK39(X0))],[f84]) ).
fof(f86,plain,
! [X2] :
( ( ? [X21] :
( r1(X2,X21)
& ~ p2(X21)
& ~ p102(X21)
& p101(X21) )
& ? [X22] :
( r1(X2,X22)
& p2(X22)
& ~ p102(X22)
& p101(X22) ) )
| p101(X2)
| ~ p100(X2)
| ~ sP0(X2) ),
inference(nnf_transformation,[],[f12]) ).
fof(f87,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p2(X1)
& ~ p102(X1)
& p101(X1) )
& ? [X2] :
( r1(X0,X2)
& p2(X2)
& ~ p102(X2)
& p101(X2) ) )
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(rectify,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ( r1(X0,sK40(X0))
& ~ p2(sK40(X0))
& ~ p102(sK40(X0))
& p101(sK40(X0))
& r1(X0,sK41(X0))
& p2(sK41(X0))
& ~ p102(sK41(X0))
& p101(sK41(X0)) )
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41]),skolemize(X1,sK40(X0)),skolemize(X2,sK41(X0))],[f87]) ).
fof(f89,plain,
( ! [X1] :
( ~ r1(sK42,X1)
| p5(X1) )
& ! [X2] :
( ~ r1(sK42,X2)
| sP21(X2) )
& ~ p101(sK42)
& p100(sK42) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(X0,sK42)],[f34]) ).
fof(f111,plain,
! [X0] :
( ~ sP21(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f112,plain,
! [X0] :
( ~ sP21(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f113,plain,
! [X0] :
( ~ sP21(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f114,plain,
! [X0] :
( ~ sP21(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f195,plain,
! [X0] :
( ~ p5(sK34(X0))
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f196,plain,
! [X0] :
( r1(X0,sK34(X0))
| p104(X0)
| ~ p103(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f197,plain,
! [X0] :
( p103(sK37(X0))
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f198,plain,
! [X0] :
( ~ p104(sK37(X0))
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f200,plain,
! [X0] :
( r1(X0,sK37(X0))
| p103(X0)
| ~ p102(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f205,plain,
! [X0] :
( p102(sK39(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f206,plain,
! [X0] :
( ~ p103(sK39(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f208,plain,
! [X0] :
( r1(X0,sK39(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f213,plain,
! [X0] :
( p101(sK41(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f214,plain,
! [X0] :
( ~ p102(sK41(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f216,plain,
! [X0] :
( r1(X0,sK41(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f221,plain,
p100(sK42),
inference(cnf_transformation,[],[f89]) ).
fof(f222,plain,
~ p101(sK42),
inference(cnf_transformation,[],[f89]) ).
fof(f223,plain,
! [X2] :
( ~ r1(sK42,X2)
| sP21(X2) ),
inference(cnf_transformation,[],[f89]) ).
fof(f224,plain,
! [X1] :
( ~ r1(sK42,X1)
| p5(X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f226,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f228,plain,
sP21(sK42),
inference(unit_resulting_resolution,[],[f223,f226]) ).
fof(f240,plain,
sP0(sK42),
inference(unit_resulting_resolution,[],[f111,f228]) ).
fof(f259,plain,
p101(sK41(sK42)),
inference(unit_resulting_resolution,[],[f213,f240,f221,f222]) ).
fof(f260,plain,
~ p102(sK41(sK42)),
inference(unit_resulting_resolution,[],[f214,f240,f221,f222]) ).
fof(f266,plain,
r1(sK42,sK41(sK42)),
inference(unit_resulting_resolution,[],[f216,f240,f221,f222]) ).
fof(f268,plain,
sP21(sK41(sK42)),
inference(unit_resulting_resolution,[],[f223,f266]) ).
fof(f286,plain,
sP1(sK41(sK42)),
inference(unit_resulting_resolution,[],[f112,f268]) ).
fof(f296,plain,
p102(sK39(sK41(sK42))),
inference(unit_resulting_resolution,[],[f205,f260,f259,f286]) ).
fof(f297,plain,
~ p103(sK39(sK41(sK42))),
inference(unit_resulting_resolution,[],[f206,f260,f259,f286]) ).
fof(f299,plain,
r1(sK41(sK42),sK39(sK41(sK42))),
inference(unit_resulting_resolution,[],[f208,f260,f259,f286]) ).
fof(f372,plain,
r1(sK42,sK39(sK41(sK42))),
inference(unit_resulting_resolution,[],[f225,f266,f299]) ).
fof(f374,plain,
sP21(sK39(sK41(sK42))),
inference(unit_resulting_resolution,[],[f223,f372]) ).
fof(f402,plain,
sP2(sK39(sK41(sK42))),
inference(unit_resulting_resolution,[],[f113,f374]) ).
fof(f523,plain,
p103(sK37(sK39(sK41(sK42)))),
inference(unit_resulting_resolution,[],[f197,f297,f296,f402]) ).
fof(f524,plain,
~ p104(sK37(sK39(sK41(sK42)))),
inference(unit_resulting_resolution,[],[f198,f297,f296,f402]) ).
fof(f526,plain,
r1(sK39(sK41(sK42)),sK37(sK39(sK41(sK42)))),
inference(unit_resulting_resolution,[],[f200,f297,f296,f402]) ).
fof(f700,plain,
r1(sK42,sK37(sK39(sK41(sK42)))),
inference(unit_resulting_resolution,[],[f225,f372,f526]) ).
fof(f713,plain,
sP21(sK37(sK39(sK41(sK42)))),
inference(unit_resulting_resolution,[],[f223,f700]) ).
fof(f750,plain,
sP3(sK37(sK39(sK41(sK42)))),
inference(unit_resulting_resolution,[],[f114,f713]) ).
fof(f1078,plain,
~ p5(sK34(sK37(sK39(sK41(sK42))))),
inference(unit_resulting_resolution,[],[f195,f524,f523,f750]) ).
fof(f1079,plain,
r1(sK37(sK39(sK41(sK42))),sK34(sK37(sK39(sK41(sK42))))),
inference(unit_resulting_resolution,[],[f196,f524,f523,f750]) ).
fof(f1497,plain,
~ r1(sK42,sK34(sK37(sK39(sK41(sK42))))),
inference(unit_resulting_resolution,[],[f224,f1078]) ).
fof(f1629,plain,
~ r1(sK37(sK39(sK41(sK42))),sK34(sK37(sK39(sK41(sK42))))),
inference(unit_resulting_resolution,[],[f225,f700,f1497]) ).
fof(f1641,plain,
$false,
inference(forward_subsumption_resolution,[],[f1629,f1079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL674+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 16:31:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/1.49 % (2230952)Detected formulas, will run a generic FOF schedule.
% 3.39/1.49 % (2230959)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4085151500:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.39/1.49 % (2230957)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2379035772:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.39/1.49 % (2230960)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4157797854:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.39/1.49 % (2230961)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2137205493:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.39/1.49 % (2230958)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1523382523:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.39/1.49 % (2230962)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1367167025:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.39/1.49 % (2230963)dis-21_1_sil=8000:lcm=predicate:random_seed=4201850275:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.39/1.49 % (2230960)Refutation not found, incomplete strategy
% 3.39/1.49 % (2230960)------------------------------
% 3.39/1.49 % (2230960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.49 % (2230960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.49 % (2230960)CaDiCaL version: 2.1.3
% 3.39/1.49 % (2230960)Termination reason: Refutation not found, incomplete strategy
% 3.39/1.49 % (2230960)Time elapsed: 0.009 s
% 3.39/1.49 % (2230960)Peak memory usage: 88 MB
% 3.39/1.49 % (2230960)Instructions burned: 15 (million)
% 3.39/1.49 % (2230961)Instruction limit reached!
% 3.39/1.49 % (2230961)------------------------------
% 3.39/1.49 % (2230961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.49 % (2230961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.49 % (2230961)CaDiCaL version: 2.1.3
% 3.39/1.49 % (2230961)Termination reason: Instruction limit
% 3.39/1.49 % (2230961)Termination phase: Saturation
% 3.39/1.49 % (2230961)Time elapsed: 0.050 s
% 3.39/1.49 % (2230961)Peak memory usage: 88 MB
% 3.39/1.49 % (2230961)Instructions burned: 122 (million)
% 3.39/1.49 % (2230963)Instruction limit reached!
% 3.39/1.49 % (2230963)------------------------------
% 3.39/1.49 % (2230963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.49 % (2230963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.49 % (2230963)CaDiCaL version: 2.1.3
% 3.39/1.49 % (2230963)Termination reason: Instruction limit
% 3.39/1.49 % (2230963)Termination phase: Saturation
% 3.39/1.49 % (2230963)Time elapsed: 0.051 s
% 3.39/1.49 % (2230963)Peak memory usage: 88 MB
% 3.39/1.49 % (2230963)Instructions burned: 130 (million)
% 3.39/1.49 % (2230962)Instruction limit reached!
% 3.39/1.49 % (2230962)------------------------------
% 3.39/1.49 % (2230962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.49 % (2230962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.49 % (2230962)CaDiCaL version: 2.1.3
% 3.39/1.49 % (2230962)Termination reason: Instruction limit
% 3.39/1.49 % (2230962)Termination phase: Saturation
% 3.39/1.49 % (2230962)Time elapsed: 0.087 s
% 3.39/1.49 % (2230962)Peak memory usage: 91 MB
% 3.39/1.49 % (2230962)Instructions burned: 140 (million)
% 3.39/1.49 % (2230971)lrs+10_1_sil=8000:sp=occurrence:random_seed=1937818801:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.39/1.49 % (2230972)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3450288706:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.39/1.49 % (2230973)lrs+1011_1_sil=32000:sp=occurrence:random_seed=822138504:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.39/1.49 % (2230972)First to succeed.
% 3.39/1.49 % (2230972)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2230952"
% 3.39/1.49 % (2230960)------------------------------
% 3.39/1.49 % (2230960)------------------------------
% 3.39/1.49 % (2230971)Instruction limit reached!
% 3.39/1.49 % (2230971)------------------------------
% 3.39/1.49 % (2230971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.49 % (2230971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.49 % (2230971)CaDiCaL version: 2.1.3
% 3.39/1.49 % (2230971)Termination reason: Instruction limit
% 3.39/1.49 % (2230971)Termination phase: Saturation
% 3.39/1.49 % (2230971)Time elapsed: 0.135 s
% 3.39/1.49 % (2230971)Peak memory usage: 93 MB
% 3.39/1.49 % (2230971)Instructions burned: 286 (million)
% 3.39/1.49 % (2230973)Also succeeded, but the first one will report.
% 3.39/1.49 % (2230977)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2229921260:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.39/1.49 % (2230978)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2085072357:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.39/1.49 % (2230977)Also succeeded, but the first one will report.
% 3.39/1.49 % (2230978)Also succeeded, but the first one will report.
% 3.39/1.49 % (2230972)Refutation found. Thanks to Tanya!
% 3.39/1.49 % SZS status Theorem for theBenchmark
% 3.39/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 5.06/1.69 % (2230972)------------------------------
% 5.06/1.69 % (2230972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.06/1.69 % (2230972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.06/1.69 % (2230972)CaDiCaL version: 2.1.3
% 5.06/1.69 % (2230972)Termination reason: Refutation
% 5.06/1.69 % (2230972)Time elapsed: 0.052 s
% 5.06/1.69 % (2230972)Peak memory usage: 89 MB
% 5.06/1.69 % (2230972)Instructions burned: 101 (million)
% 5.06/1.69 % (2230972)------------------------------
% 5.06/1.69 % (2230972)------------------------------
% 5.06/1.69 % (2230952)Success in time 0.654 s
% 5.06/1.69 % Vampire exiting
%------------------------------------------------------------------------------