%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL676+1.005 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:00:01 PM UTC 2026
% Result : Theorem 26.77s 4.24s
% Output : Refutation 26.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 23
% Syntax : Number of formulae : 217 ( 14 unt; 21 def)
% Number of atoms : 1942 ( 0 equ)
% Maximal formula atoms : 207 ( 8 avg)
% Number of connectives : 2873 (1148 ~;1444 |; 259 &)
% ( 21 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 23 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 660 ( 0 sgn 560 !; 100 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X0,X1)
& r1(X1,X2) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) ) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ( ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) ) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) )
| ~ p3(X0) ) )
| ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ p1(X0) ) )
| ~ ( ( ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) ) )
| ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) ) ) )
& ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p4(X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false ) )
| ~ ( p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) ) ) ) )
& ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ~ p5(X3) ) ) )
& ( ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
| ~ ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ~ ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ p2(X6) ) ) ) )
| ! [X8] :
( ~ r1(X0,X8)
| p3(X8) )
| ~ ! [X9] :
( ~ r1(X0,X9)
| p3(X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p3(X11) )
| ~ p3(X10) ) )
| ( ~ ! [X12] :
( ~ r1(X0,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| ~ p5(X13) ) )
& ( ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
| ~ ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ~ ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| p2(X17) )
| ~ p2(X16) ) ) ) )
| ! [X18] :
( ~ r1(X0,X18)
| p1(X18) )
| ~ ! [X19] :
( ~ r1(X0,X19)
| p1(X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p1(X21) )
| ~ p1(X20) ) )
| ~ ( ( ( ( ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ~ ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ p2(X24) ) ) )
| ~ ! [X26] :
( ~ r1(X0,X26)
| p2(X26)
| ~ ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
& ( p2(X0)
| ~ ! [X29] :
( ~ r1(X0,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30) )
| ~ p2(X29) ) ) )
| ~ ! [X31] :
( ~ r1(X0,X31)
| ( ( ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33)
| ~ ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) )
| ~ p2(X34) ) ) )
| ~ ! [X36] :
( ~ r1(X31,X36)
| p2(X36)
| ~ ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
& ( p2(X31)
| ~ ! [X39] :
( ~ r1(X31,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
| ~ ! [X41] :
( ~ r1(X31,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ( ( ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X42,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X42)
| ~ ! [X50] :
( ~ r1(X42,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) )
| ~ ( ( ! [X52] :
( ~ r1(X41,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) )
| ~ ! [X56] :
( ~ r1(X41,X56)
| p2(X56)
| ~ ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) )
& ( p2(X41)
| ~ ! [X59] :
( ~ r1(X41,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X61] :
( ~ r1(X0,X61)
| $false )
| ~ ! [X62] :
( ~ r1(X0,X62)
| p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X63] :
( ~ r1(X62,X63)
| $false )
| ~ ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] :
( ~ r1(X65,X66)
| $false ) )
| ~ ( p4(X64)
| p3(X64)
| p2(X64)
| p1(X64)
| ! [X67] :
( ~ r1(X64,X67)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X68] :
( ~ r1(X0,X68)
| $false )
| ~ ! [X69] :
( ~ r1(X0,X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] :
( ~ r1(X69,X70)
| $false )
| ~ ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] :
( ~ r1(X72,X73)
| $false ) )
| ~ ( p3(X71)
| p2(X71)
| p1(X71)
| ! [X74] :
( ~ r1(X71,X74)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X75] :
( ~ r1(X0,X75)
| $false )
| ~ ! [X76] :
( ~ r1(X0,X76)
| p2(X76)
| p1(X76)
| ! [X77] :
( ~ r1(X76,X77)
| $false )
| ~ ! [X78] :
( ~ r1(X76,X78)
| ! [X79] :
( ~ r1(X78,X79)
| p2(X79)
| p1(X79)
| ! [X80] :
( ~ r1(X79,X80)
| $false ) )
| ~ ( p2(X78)
| p1(X78)
| ! [X81] :
( ~ r1(X78,X81)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X82] :
( ~ r1(X0,X82)
| $false )
| ~ ! [X83] :
( ~ r1(X0,X83)
| p1(X83)
| ! [X84] :
( ~ r1(X83,X84)
| $false )
| ~ ! [X85] :
( ~ r1(X83,X85)
| ! [X86] :
( ~ r1(X85,X86)
| p1(X86)
| ! [X87] :
( ~ r1(X86,X87)
| $false ) )
| ~ ( p1(X85)
| ! [X88] :
( ~ r1(X85,X88)
| $false ) ) ) ) )
& ! [X89] :
( ~ r1(X0,X89)
| p2(X89)
| ~ ! [X90] :
( ~ r1(X89,X90)
| p2(X90)
| ~ ! [X91] :
( ~ r1(X90,X91)
| ! [X92] :
( ~ r1(X91,X92)
| p2(X92) )
| ~ p2(X91) ) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ( ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ~ p5(X3) ) ) )
& ( ! [X4] :
( ~ r1(X0,X4)
| p2(X4) )
| ~ ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ~ ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) )
| ~ p2(X6) ) ) ) )
| ! [X8] :
( ~ r1(X0,X8)
| p3(X8) )
| ~ ! [X9] :
( ~ r1(X0,X9)
| p3(X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ! [X11] :
( ~ r1(X10,X11)
| p3(X11) )
| ~ p3(X10) ) )
| ( ~ ! [X12] :
( ~ r1(X0,X12)
| ~ ! [X13] :
( ~ r1(X12,X13)
| ~ p5(X13) ) )
& ( ! [X14] :
( ~ r1(X0,X14)
| p2(X14) )
| ~ ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ~ ! [X16] :
( ~ r1(X15,X16)
| ! [X17] :
( ~ r1(X16,X17)
| p2(X17) )
| ~ p2(X16) ) ) ) )
| ! [X18] :
( ~ r1(X0,X18)
| p1(X18) )
| ~ ! [X19] :
( ~ r1(X0,X19)
| p1(X19)
| ~ ! [X20] :
( ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| p1(X21) )
| ~ p1(X20) ) )
| ~ ( ( ( ( ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ~ ! [X24] :
( ~ r1(X23,X24)
| ! [X25] :
( ~ r1(X24,X25)
| p2(X25) )
| ~ p2(X24) ) ) )
| ~ ! [X26] :
( ~ r1(X0,X26)
| p2(X26)
| ~ ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
& ( p2(X0)
| ~ ! [X29] :
( ~ r1(X0,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30) )
| ~ p2(X29) ) ) )
| ~ ! [X31] :
( ~ r1(X0,X31)
| ( ( ! [X32] :
( ~ r1(X31,X32)
| ! [X33] :
( ~ r1(X32,X33)
| p2(X33)
| ~ ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) )
| ~ p2(X34) ) ) )
| ~ ! [X36] :
( ~ r1(X31,X36)
| p2(X36)
| ~ ! [X37] :
( ~ r1(X36,X37)
| ! [X38] :
( ~ r1(X37,X38)
| p2(X38) )
| ~ p2(X37) ) ) )
& ( p2(X31)
| ~ ! [X39] :
( ~ r1(X31,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
| ~ ! [X41] :
( ~ r1(X31,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ( ( ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ~ ! [X45] :
( ~ r1(X44,X45)
| ! [X46] :
( ~ r1(X45,X46)
| p2(X46) )
| ~ p2(X45) ) ) )
| ~ ! [X47] :
( ~ r1(X42,X47)
| p2(X47)
| ~ ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X42)
| ~ ! [X50] :
( ~ r1(X42,X50)
| ! [X51] :
( ~ r1(X50,X51)
| p2(X51) )
| ~ p2(X50) ) ) ) )
| ~ ( ( ! [X52] :
( ~ r1(X41,X52)
| ! [X53] :
( ~ r1(X52,X53)
| p2(X53)
| ~ ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) )
| ~ ! [X56] :
( ~ r1(X41,X56)
| p2(X56)
| ~ ! [X57] :
( ~ r1(X56,X57)
| ! [X58] :
( ~ r1(X57,X58)
| p2(X58) )
| ~ p2(X57) ) ) )
& ( p2(X41)
| ~ ! [X59] :
( ~ r1(X41,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) ) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X61] :
( ~ r1(X0,X61)
| $false )
| ~ ! [X62] :
( ~ r1(X0,X62)
| p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X63] :
( ~ r1(X62,X63)
| $false )
| ~ ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] :
( ~ r1(X65,X66)
| $false ) )
| ~ ( p4(X64)
| p3(X64)
| p2(X64)
| p1(X64)
| ! [X67] :
( ~ r1(X64,X67)
| $false ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X68] :
( ~ r1(X0,X68)
| $false )
| ~ ! [X69] :
( ~ r1(X0,X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] :
( ~ r1(X69,X70)
| $false )
| ~ ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] :
( ~ r1(X72,X73)
| $false ) )
| ~ ( p3(X71)
| p2(X71)
| p1(X71)
| ! [X74] :
( ~ r1(X71,X74)
| $false ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X75] :
( ~ r1(X0,X75)
| $false )
| ~ ! [X76] :
( ~ r1(X0,X76)
| p2(X76)
| p1(X76)
| ! [X77] :
( ~ r1(X76,X77)
| $false )
| ~ ! [X78] :
( ~ r1(X76,X78)
| ! [X79] :
( ~ r1(X78,X79)
| p2(X79)
| p1(X79)
| ! [X80] :
( ~ r1(X79,X80)
| $false ) )
| ~ ( p2(X78)
| p1(X78)
| ! [X81] :
( ~ r1(X78,X81)
| $false ) ) ) ) )
& ( p1(X0)
| ! [X82] :
( ~ r1(X0,X82)
| $false )
| ~ ! [X83] :
( ~ r1(X0,X83)
| p1(X83)
| ! [X84] :
( ~ r1(X83,X84)
| $false )
| ~ ! [X85] :
( ~ r1(X83,X85)
| ! [X86] :
( ~ r1(X85,X86)
| p1(X86)
| ! [X87] :
( ~ r1(X86,X87)
| $false ) )
| ~ ( p1(X85)
| ! [X88] :
( ~ r1(X85,X88)
| $false ) ) ) ) )
& ! [X89] :
( ~ r1(X0,X89)
| p2(X89)
| ~ ! [X90] :
( ~ r1(X89,X90)
| p2(X90)
| ~ ! [X91] :
( ~ r1(X90,X91)
| ! [X92] :
( ~ r1(X91,X92)
| p2(X92) )
| ~ p2(X91) ) ) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
? [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p1(X1)
& ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ~ p5(X3) ) ) )
| ( ? [X4] :
( r1(X0,X4)
& ~ p2(X4) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) ) )
& ? [X8] :
( r1(X0,X8)
& ~ p3(X8) )
& ! [X9] :
( ~ r1(X0,X9)
| p3(X9)
| ? [X10] :
( r1(X9,X10)
& ? [X11] :
( r1(X10,X11)
& ~ p3(X11) )
& p3(X10) ) )
& ( ! [X12] :
( ~ r1(X0,X12)
| ? [X13] :
( r1(X12,X13)
& p5(X13) ) )
| ( ? [X14] :
( r1(X0,X14)
& ~ p2(X14) )
& ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ? [X16] :
( r1(X15,X16)
& ? [X17] :
( r1(X16,X17)
& ~ p2(X17) )
& p2(X16) ) ) ) )
& ? [X18] :
( r1(X0,X18)
& ~ p1(X18) )
& ! [X19] :
( ~ r1(X0,X19)
| p1(X19)
| ? [X20] :
( r1(X19,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p1(X21) )
& p1(X20) ) )
& ( ( ( ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ? [X24] :
( r1(X23,X24)
& ? [X25] :
( r1(X24,X25)
& ~ p2(X25) )
& p2(X24) ) ) )
| ? [X26] :
( r1(X0,X26)
& ~ p2(X26)
& ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
& ( p2(X0)
| ? [X29] :
( r1(X0,X29)
& ? [X30] :
( r1(X29,X30)
& ~ p2(X30) )
& p2(X29) ) ) )
| ? [X31] :
( r1(X0,X31)
& ( ( ? [X32] :
( r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p2(X33)
& ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) )
| ~ p2(X34) ) ) )
& ! [X36] :
( ~ r1(X31,X36)
| p2(X36)
| ? [X37] :
( r1(X36,X37)
& ? [X38] :
( r1(X37,X38)
& ~ p2(X38) )
& p2(X37) ) ) )
| ( ~ p2(X31)
& ! [X39] :
( ~ r1(X31,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ! [X41] :
( ~ r1(X31,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ( ( ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ? [X45] :
( r1(X44,X45)
& ? [X46] :
( r1(X45,X46)
& ~ p2(X46) )
& p2(X45) ) ) )
| ? [X47] :
( r1(X42,X47)
& ~ p2(X47)
& ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X42)
| ? [X50] :
( r1(X42,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51) )
& p2(X50) ) ) ) )
| ( ? [X52] :
( r1(X41,X52)
& ? [X53] :
( r1(X52,X53)
& ~ p2(X53)
& ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) )
& ! [X56] :
( ~ r1(X41,X56)
| p2(X56)
| ? [X57] :
( r1(X56,X57)
& ? [X58] :
( r1(X57,X58)
& ~ p2(X58) )
& p2(X57) ) ) )
| ( ~ p2(X41)
& ! [X59] :
( ~ r1(X41,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X61] :
( ~ r1(X0,X61)
| $false )
| ? [X62] :
( r1(X0,X62)
& ~ p4(X62)
& ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X63] :
( r1(X62,X63)
& $true )
& ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] :
( ~ r1(X65,X66)
| $false ) )
| ( ~ p4(X64)
& ~ p3(X64)
& ~ p2(X64)
& ~ p1(X64)
& ? [X67] :
( r1(X64,X67)
& $true ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X68] :
( ~ r1(X0,X68)
| $false )
| ? [X69] :
( r1(X0,X69)
& ~ p3(X69)
& ~ p2(X69)
& ~ p1(X69)
& ? [X70] :
( r1(X69,X70)
& $true )
& ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] :
( ~ r1(X72,X73)
| $false ) )
| ( ~ p3(X71)
& ~ p2(X71)
& ~ p1(X71)
& ? [X74] :
( r1(X71,X74)
& $true ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X75] :
( ~ r1(X0,X75)
| $false )
| ? [X76] :
( r1(X0,X76)
& ~ p2(X76)
& ~ p1(X76)
& ? [X77] :
( r1(X76,X77)
& $true )
& ! [X78] :
( ~ r1(X76,X78)
| ! [X79] :
( ~ r1(X78,X79)
| p2(X79)
| p1(X79)
| ! [X80] :
( ~ r1(X79,X80)
| $false ) )
| ( ~ p2(X78)
& ~ p1(X78)
& ? [X81] :
( r1(X78,X81)
& $true ) ) ) ) )
& ( p1(X0)
| ! [X82] :
( ~ r1(X0,X82)
| $false )
| ? [X83] :
( r1(X0,X83)
& ~ p1(X83)
& ? [X84] :
( r1(X83,X84)
& $true )
& ! [X85] :
( ~ r1(X83,X85)
| ! [X86] :
( ~ r1(X85,X86)
| p1(X86)
| ! [X87] :
( ~ r1(X86,X87)
| $false ) )
| ( ~ p1(X85)
& ? [X88] :
( r1(X85,X88)
& $true ) ) ) ) )
& ! [X89] :
( ~ r1(X0,X89)
| p2(X89)
| ? [X90] :
( r1(X89,X90)
& ~ p2(X90)
& ! [X91] :
( ~ r1(X90,X91)
| ! [X92] :
( ~ r1(X91,X92)
| p2(X92) )
| ~ p2(X91) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f10,plain,
? [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p1(X1)
& ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ~ p5(X3) ) ) )
| ( ? [X4] :
( r1(X0,X4)
& ~ p2(X4) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) ) )
& ? [X8] :
( r1(X0,X8)
& ~ p3(X8) )
& ! [X9] :
( ~ r1(X0,X9)
| p3(X9)
| ? [X10] :
( r1(X9,X10)
& ? [X11] :
( r1(X10,X11)
& ~ p3(X11) )
& p3(X10) ) )
& ( ! [X12] :
( ~ r1(X0,X12)
| ? [X13] :
( r1(X12,X13)
& p5(X13) ) )
| ( ? [X14] :
( r1(X0,X14)
& ~ p2(X14) )
& ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ? [X16] :
( r1(X15,X16)
& ? [X17] :
( r1(X16,X17)
& ~ p2(X17) )
& p2(X16) ) ) ) )
& ? [X18] :
( r1(X0,X18)
& ~ p1(X18) )
& ! [X19] :
( ~ r1(X0,X19)
| p1(X19)
| ? [X20] :
( r1(X19,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p1(X21) )
& p1(X20) ) )
& ( ( ( ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ? [X24] :
( r1(X23,X24)
& ? [X25] :
( r1(X24,X25)
& ~ p2(X25) )
& p2(X24) ) ) )
| ? [X26] :
( r1(X0,X26)
& ~ p2(X26)
& ! [X27] :
( ~ r1(X26,X27)
| ! [X28] :
( ~ r1(X27,X28)
| p2(X28) )
| ~ p2(X27) ) ) )
& ( p2(X0)
| ? [X29] :
( r1(X0,X29)
& ? [X30] :
( r1(X29,X30)
& ~ p2(X30) )
& p2(X29) ) ) )
| ? [X31] :
( r1(X0,X31)
& ( ( ? [X32] :
( r1(X31,X32)
& ? [X33] :
( r1(X32,X33)
& ~ p2(X33)
& ! [X34] :
( ~ r1(X33,X34)
| ! [X35] :
( ~ r1(X34,X35)
| p2(X35) )
| ~ p2(X34) ) ) )
& ! [X36] :
( ~ r1(X31,X36)
| p2(X36)
| ? [X37] :
( r1(X36,X37)
& ? [X38] :
( r1(X37,X38)
& ~ p2(X38) )
& p2(X37) ) ) )
| ( ~ p2(X31)
& ! [X39] :
( ~ r1(X31,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ! [X41] :
( ~ r1(X31,X41)
| ! [X42] :
( ~ r1(X41,X42)
| ( ( ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ? [X45] :
( r1(X44,X45)
& ? [X46] :
( r1(X45,X46)
& ~ p2(X46) )
& p2(X45) ) ) )
| ? [X47] :
( r1(X42,X47)
& ~ p2(X47)
& ! [X48] :
( ~ r1(X47,X48)
| ! [X49] :
( ~ r1(X48,X49)
| p2(X49) )
| ~ p2(X48) ) ) )
& ( p2(X42)
| ? [X50] :
( r1(X42,X50)
& ? [X51] :
( r1(X50,X51)
& ~ p2(X51) )
& p2(X50) ) ) ) )
| ( ? [X52] :
( r1(X41,X52)
& ? [X53] :
( r1(X52,X53)
& ~ p2(X53)
& ! [X54] :
( ~ r1(X53,X54)
| ! [X55] :
( ~ r1(X54,X55)
| p2(X55) )
| ~ p2(X54) ) ) )
& ! [X56] :
( ~ r1(X41,X56)
| p2(X56)
| ? [X57] :
( r1(X56,X57)
& ? [X58] :
( r1(X57,X58)
& ~ p2(X58) )
& p2(X57) ) ) )
| ( ~ p2(X41)
& ! [X59] :
( ~ r1(X41,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X61] :
( ~ r1(X0,X61)
| $false )
| ? [X62] :
( r1(X0,X62)
& ~ p4(X62)
& ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X63] :
( r1(X62,X63)
& $true )
& ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] :
( ~ r1(X65,X66)
| $false ) )
| ( ~ p4(X64)
& ~ p3(X64)
& ~ p2(X64)
& ~ p1(X64)
& ? [X67] :
( r1(X64,X67)
& $true ) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X68] :
( ~ r1(X0,X68)
| $false )
| ? [X69] :
( r1(X0,X69)
& ~ p3(X69)
& ~ p2(X69)
& ~ p1(X69)
& ? [X70] :
( r1(X69,X70)
& $true )
& ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] :
( ~ r1(X72,X73)
| $false ) )
| ( ~ p3(X71)
& ~ p2(X71)
& ~ p1(X71)
& ? [X74] :
( r1(X71,X74)
& $true ) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X75] :
( ~ r1(X0,X75)
| $false )
| ? [X76] :
( r1(X0,X76)
& ~ p2(X76)
& ~ p1(X76)
& ? [X77] :
( r1(X76,X77)
& $true )
& ! [X78] :
( ~ r1(X76,X78)
| ! [X79] :
( ~ r1(X78,X79)
| p2(X79)
| p1(X79)
| ! [X80] :
( ~ r1(X79,X80)
| $false ) )
| ( ~ p2(X78)
& ~ p1(X78)
& ? [X81] :
( r1(X78,X81)
& $true ) ) ) ) )
& ( p1(X0)
| ! [X82] :
( ~ r1(X0,X82)
| $false )
| ? [X83] :
( r1(X0,X83)
& ~ p1(X83)
& ? [X84] :
( r1(X83,X84)
& $true )
& ! [X85] :
( ~ r1(X83,X85)
| ! [X86] :
( ~ r1(X85,X86)
| p1(X86)
| ! [X87] :
( ~ r1(X86,X87)
| $false ) )
| ( ~ p1(X85)
& ? [X88] :
( r1(X85,X88)
& $true ) ) ) ) )
& ! [X89] :
( ~ r1(X0,X89)
| p2(X89)
| ? [X90] :
( r1(X89,X90)
& ~ p2(X90)
& ! [X91] :
( ~ r1(X90,X91)
| ! [X92] :
( ~ r1(X91,X92)
| p2(X92) )
| ~ p2(X91) ) ) ) ),
inference(flattening,[],[f9]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f8]) ).
fof(f76,plain,
! [X5] :
( ~ p2(sK39(X5))
| p2(X5)
| ~ r1(sK0,X5)
| r1(sK8,sK21) ),
inference(cnf_transformation,[],[f10]) ).
fof(f77,plain,
! [X5] :
( r1(sK26(X5),sK39(X5))
| p2(X5)
| ~ r1(sK0,X5)
| r1(sK8,sK21) ),
inference(cnf_transformation,[],[f10]) ).
fof(f78,plain,
! [X5] :
( ~ p2(sK39(X5))
| p2(X5)
| ~ r1(sK0,X5)
| r1(sK0,sK8) ),
inference(cnf_transformation,[],[f10]) ).
fof(f79,plain,
! [X5] :
( r1(sK26(X5),sK39(X5))
| p2(X5)
| ~ r1(sK0,X5)
| r1(sK0,sK8) ),
inference(cnf_transformation,[],[f10]) ).
fof(f82,plain,
! [X3,X5] :
( ~ p2(sK39(X5))
| p2(X5)
| ~ r1(sK0,X5)
| ~ p5(X3)
| ~ r1(sK21,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f83,plain,
! [X3,X5] :
( r1(sK26(X5),sK39(X5))
| p2(X5)
| ~ r1(sK0,X5)
| ~ p5(X3)
| ~ r1(sK21,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f84,plain,
! [X15,X12] :
( ~ p2(sK38(X15))
| p2(X15)
| ~ r1(sK0,X15)
| p5(sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f85,plain,
! [X15,X12] :
( r1(sK24(X15),sK38(X15))
| p2(X15)
| ~ r1(sK0,X15)
| p5(sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f86,plain,
! [X15,X12] :
( ~ p2(sK38(X15))
| p2(X15)
| ~ r1(sK0,X15)
| r1(X12,sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f87,plain,
! [X15,X12] :
( r1(sK24(X15),sK38(X15))
| p2(X15)
| ~ r1(sK0,X15)
| r1(X12,sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f89,plain,
! [X91,X89,X92] :
( ~ p2(X91)
| p2(X92)
| ~ r1(X91,X92)
| ~ r1(sK9(X89),X91)
| p2(X89)
| ~ r1(sK0,X89) ),
inference(cnf_transformation,[],[f10]) ).
fof(f90,plain,
! [X3] :
( ~ p2(sK13)
| ~ p5(X3)
| ~ r1(sK21,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f91,plain,
! [X3] :
( r1(sK0,sK13)
| ~ p5(X3)
| ~ r1(sK21,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f92,plain,
! [X3,X5] :
( r1(X5,sK26(X5))
| p2(X5)
| ~ r1(sK0,X5)
| ~ p5(X3)
| ~ r1(sK21,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f93,plain,
! [X3,X5] :
( p2(sK26(X5))
| p2(X5)
| ~ r1(sK0,X5)
| ~ p5(X3)
| ~ r1(sK21,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f108,plain,
! [X5] :
( p2(sK26(X5))
| p2(X5)
| ~ r1(sK0,X5)
| r1(sK0,sK8) ),
inference(cnf_transformation,[],[f10]) ).
fof(f109,plain,
! [X5] :
( r1(X5,sK26(X5))
| p2(X5)
| ~ r1(sK0,X5)
| r1(sK0,sK8) ),
inference(cnf_transformation,[],[f10]) ).
fof(f110,plain,
! [X5] :
( p2(sK26(X5))
| p2(X5)
| ~ r1(sK0,X5)
| r1(sK8,sK21) ),
inference(cnf_transformation,[],[f10]) ).
fof(f111,plain,
! [X5] :
( r1(X5,sK26(X5))
| p2(X5)
| ~ r1(sK0,X5)
| r1(sK8,sK21) ),
inference(cnf_transformation,[],[f10]) ).
fof(f114,plain,
! [X15,X12] :
( p2(sK24(X15))
| p2(X15)
| ~ r1(sK0,X15)
| r1(X12,sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f115,plain,
! [X15,X12] :
( r1(X15,sK24(X15))
| p2(X15)
| ~ r1(sK0,X15)
| r1(X12,sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f116,plain,
! [X15,X12] :
( p2(sK24(X15))
| p2(X15)
| ~ r1(sK0,X15)
| p5(sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f117,plain,
! [X15,X12] :
( r1(X15,sK24(X15))
| p2(X15)
| ~ r1(sK0,X15)
| p5(sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f124,plain,
( r1(sK0,sK13)
| r1(sK8,sK21) ),
inference(cnf_transformation,[],[f10]) ).
fof(f125,plain,
( ~ p2(sK13)
| r1(sK8,sK21) ),
inference(cnf_transformation,[],[f10]) ).
fof(f126,plain,
! [X12] :
( r1(sK0,sK11)
| p5(sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f127,plain,
! [X12] :
( r1(sK0,sK11)
| r1(X12,sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f128,plain,
! [X12] :
( ~ p2(sK11)
| p5(sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f129,plain,
! [X12] :
( ~ p2(sK11)
| r1(X12,sK20(X12))
| ~ r1(sK0,X12) ),
inference(cnf_transformation,[],[f10]) ).
fof(f154,plain,
( ~ p2(sK13)
| r1(sK0,sK8) ),
inference(cnf_transformation,[],[f10]) ).
fof(f155,plain,
( r1(sK0,sK13)
| r1(sK0,sK8) ),
inference(cnf_transformation,[],[f10]) ).
fof(f176,plain,
! [X89] :
( ~ p2(sK9(X89))
| p2(X89)
| ~ r1(sK0,X89) ),
inference(cnf_transformation,[],[f10]) ).
fof(f177,plain,
! [X89] :
( r1(X89,sK9(X89))
| p2(X89)
| ~ r1(sK0,X89) ),
inference(cnf_transformation,[],[f10]) ).
fof(f377,definition,
( spl54_35
<=> r1(sK8,sK21) ),
introduced(definition,[new_symbols(definition,[spl54_35])],[avatar_definition]) ).
fof(f379,plain,
( r1(sK8,sK21)
| ~ spl54_35 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f381,definition,
( spl54_36
<=> ! [X5] :
( ~ p2(sK39(X5))
| ~ r1(sK0,X5)
| p2(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_36])],[avatar_definition]) ).
fof(f382,plain,
( ! [X5] :
( ~ p2(sK39(X5))
| ~ r1(sK0,X5)
| p2(X5) )
| ~ spl54_36 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f383,plain,
( spl54_35
| spl54_36 ),
inference(avatar_split_clause,[],[f76,f381,f377]) ).
fof(f385,definition,
( spl54_37
<=> ! [X5] :
( r1(sK26(X5),sK39(X5))
| ~ r1(sK0,X5)
| p2(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_37])],[avatar_definition]) ).
fof(f386,plain,
( ! [X5] :
( r1(sK26(X5),sK39(X5))
| ~ r1(sK0,X5)
| p2(X5) )
| ~ spl54_37 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f387,plain,
( spl54_35
| spl54_37 ),
inference(avatar_split_clause,[],[f77,f385,f377]) ).
fof(f389,definition,
( spl54_38
<=> r1(sK0,sK8) ),
introduced(definition,[new_symbols(definition,[spl54_38])],[avatar_definition]) ).
fof(f391,plain,
( r1(sK0,sK8)
| ~ spl54_38 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f392,plain,
( spl54_38
| spl54_36 ),
inference(avatar_split_clause,[],[f78,f381,f389]) ).
fof(f393,plain,
( spl54_38
| spl54_37 ),
inference(avatar_split_clause,[],[f79,f385,f389]) ).
fof(f401,definition,
( spl54_40
<=> ! [X3] :
( ~ p5(X3)
| ~ r1(sK21,X3) ) ),
introduced(definition,[new_symbols(definition,[spl54_40])],[avatar_definition]) ).
fof(f402,plain,
( ! [X3] :
( ~ r1(sK21,X3)
| ~ p5(X3) )
| ~ spl54_40 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f403,plain,
( spl54_40
| spl54_36 ),
inference(avatar_split_clause,[],[f82,f381,f401]) ).
fof(f404,plain,
( spl54_40
| spl54_37 ),
inference(avatar_split_clause,[],[f83,f385,f401]) ).
fof(f406,definition,
( spl54_41
<=> ! [X12] :
( p5(sK20(X12))
| ~ r1(sK0,X12) ) ),
introduced(definition,[new_symbols(definition,[spl54_41])],[avatar_definition]) ).
fof(f407,plain,
( ! [X12] :
( p5(sK20(X12))
| ~ r1(sK0,X12) )
| ~ spl54_41 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f409,definition,
( spl54_42
<=> ! [X15] :
( ~ p2(sK38(X15))
| ~ r1(sK0,X15)
| p2(X15) ) ),
introduced(definition,[new_symbols(definition,[spl54_42])],[avatar_definition]) ).
fof(f410,plain,
( ! [X15] :
( ~ p2(sK38(X15))
| ~ r1(sK0,X15)
| p2(X15) )
| ~ spl54_42 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f411,plain,
( spl54_41
| spl54_42 ),
inference(avatar_split_clause,[],[f84,f409,f406]) ).
fof(f413,definition,
( spl54_43
<=> ! [X15] :
( r1(sK24(X15),sK38(X15))
| ~ r1(sK0,X15)
| p2(X15) ) ),
introduced(definition,[new_symbols(definition,[spl54_43])],[avatar_definition]) ).
fof(f414,plain,
( ! [X15] :
( r1(sK24(X15),sK38(X15))
| ~ r1(sK0,X15)
| p2(X15) )
| ~ spl54_43 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f415,plain,
( spl54_41
| spl54_43 ),
inference(avatar_split_clause,[],[f85,f413,f406]) ).
fof(f417,definition,
( spl54_44
<=> ! [X12] :
( r1(X12,sK20(X12))
| ~ r1(sK0,X12) ) ),
introduced(definition,[new_symbols(definition,[spl54_44])],[avatar_definition]) ).
fof(f418,plain,
( ! [X12] :
( r1(X12,sK20(X12))
| ~ r1(sK0,X12) )
| ~ spl54_44 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f419,plain,
( spl54_44
| spl54_42 ),
inference(avatar_split_clause,[],[f86,f409,f417]) ).
fof(f420,plain,
( spl54_44
| spl54_43 ),
inference(avatar_split_clause,[],[f87,f413,f417]) ).
fof(f422,definition,
( spl54_45
<=> p2(sK13) ),
introduced(definition,[new_symbols(definition,[spl54_45])],[avatar_definition]) ).
fof(f424,plain,
( ~ p2(sK13)
| spl54_45 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f425,plain,
( spl54_40
| ~ spl54_45 ),
inference(avatar_split_clause,[],[f90,f422,f401]) ).
fof(f427,definition,
( spl54_46
<=> r1(sK0,sK13) ),
introduced(definition,[new_symbols(definition,[spl54_46])],[avatar_definition]) ).
fof(f429,plain,
( r1(sK0,sK13)
| ~ spl54_46 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f430,plain,
( spl54_40
| spl54_46 ),
inference(avatar_split_clause,[],[f91,f427,f401]) ).
fof(f432,definition,
( spl54_47
<=> ! [X5] :
( r1(X5,sK26(X5))
| ~ r1(sK0,X5)
| p2(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_47])],[avatar_definition]) ).
fof(f433,plain,
( ! [X5] :
( r1(X5,sK26(X5))
| ~ r1(sK0,X5)
| p2(X5) )
| ~ spl54_47 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f434,plain,
( spl54_40
| spl54_47 ),
inference(avatar_split_clause,[],[f92,f432,f401]) ).
fof(f436,definition,
( spl54_48
<=> ! [X5] :
( p2(sK26(X5))
| ~ r1(sK0,X5)
| p2(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_48])],[avatar_definition]) ).
fof(f437,plain,
( ! [X5] :
( p2(sK26(X5))
| ~ r1(sK0,X5)
| p2(X5) )
| ~ spl54_48 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f438,plain,
( spl54_40
| spl54_48 ),
inference(avatar_split_clause,[],[f93,f436,f401]) ).
fof(f453,plain,
( spl54_38
| spl54_48 ),
inference(avatar_split_clause,[],[f108,f436,f389]) ).
fof(f454,plain,
( spl54_38
| spl54_47 ),
inference(avatar_split_clause,[],[f109,f432,f389]) ).
fof(f455,plain,
( spl54_35
| spl54_48 ),
inference(avatar_split_clause,[],[f110,f436,f377]) ).
fof(f456,plain,
( spl54_35
| spl54_47 ),
inference(avatar_split_clause,[],[f111,f432,f377]) ).
fof(f458,definition,
( spl54_49
<=> ! [X15] :
( p2(sK24(X15))
| ~ r1(sK0,X15)
| p2(X15) ) ),
introduced(definition,[new_symbols(definition,[spl54_49])],[avatar_definition]) ).
fof(f459,plain,
( ! [X15] :
( p2(sK24(X15))
| ~ r1(sK0,X15)
| p2(X15) )
| ~ spl54_49 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f460,plain,
( spl54_44
| spl54_49 ),
inference(avatar_split_clause,[],[f114,f458,f417]) ).
fof(f462,definition,
( spl54_50
<=> ! [X15] :
( r1(X15,sK24(X15))
| ~ r1(sK0,X15)
| p2(X15) ) ),
introduced(definition,[new_symbols(definition,[spl54_50])],[avatar_definition]) ).
fof(f463,plain,
( ! [X15] :
( ~ r1(sK0,X15)
| r1(X15,sK24(X15))
| p2(X15) )
| ~ spl54_50 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f464,plain,
( spl54_44
| spl54_50 ),
inference(avatar_split_clause,[],[f115,f462,f417]) ).
fof(f465,plain,
( spl54_41
| spl54_49 ),
inference(avatar_split_clause,[],[f116,f458,f406]) ).
fof(f466,plain,
( spl54_41
| spl54_50 ),
inference(avatar_split_clause,[],[f117,f462,f406]) ).
fof(f471,plain,
( spl54_35
| spl54_46 ),
inference(avatar_split_clause,[],[f124,f427,f377]) ).
fof(f472,plain,
( spl54_35
| ~ spl54_45 ),
inference(avatar_split_clause,[],[f125,f422,f377]) ).
fof(f474,definition,
( spl54_51
<=> r1(sK0,sK11) ),
introduced(definition,[new_symbols(definition,[spl54_51])],[avatar_definition]) ).
fof(f476,plain,
( r1(sK0,sK11)
| ~ spl54_51 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f477,plain,
( spl54_41
| spl54_51 ),
inference(avatar_split_clause,[],[f126,f474,f406]) ).
fof(f478,plain,
( spl54_44
| spl54_51 ),
inference(avatar_split_clause,[],[f127,f474,f417]) ).
fof(f480,definition,
( spl54_52
<=> p2(sK11) ),
introduced(definition,[new_symbols(definition,[spl54_52])],[avatar_definition]) ).
fof(f482,plain,
( ~ p2(sK11)
| spl54_52 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( spl54_41
| ~ spl54_52 ),
inference(avatar_split_clause,[],[f128,f480,f406]) ).
fof(f484,plain,
( spl54_44
| ~ spl54_52 ),
inference(avatar_split_clause,[],[f129,f480,f417]) ).
fof(f525,plain,
( spl54_38
| ~ spl54_45 ),
inference(avatar_split_clause,[],[f154,f422,f389]) ).
fof(f526,plain,
( spl54_38
| spl54_46 ),
inference(avatar_split_clause,[],[f155,f427,f389]) ).
fof(f619,plain,
( ~ r1(sK0,sK21)
| ~ p5(sK20(sK21))
| ~ spl54_40
| ~ spl54_44 ),
inference(resolution,[],[f418,f402]) ).
fof(f620,plain,
( ~ r1(sK0,sK21)
| ~ spl54_40
| ~ spl54_41
| ~ spl54_44 ),
inference(forward_subsumption_resolution,[],[f619,f407]) ).
fof(f689,plain,
( ! [X2,X0,X1] :
( ~ r1(sK9(X2),sK26(X1))
| ~ r1(sK26(X1),X0)
| p2(X0)
| p2(X2)
| ~ r1(sK0,X2)
| ~ r1(sK0,X1)
| p2(X1) )
| ~ spl54_48 ),
inference(resolution,[],[f89,f437]) ).
fof(f824,plain,
( ! [X0] :
( ~ r1(sK8,X0)
| r1(sK0,X0) )
| ~ spl54_38 ),
inference(resolution,[],[f12,f391]) ).
fof(f825,plain,
( ! [X0] :
( ~ r1(sK13,X0)
| r1(sK0,X0) )
| ~ spl54_46 ),
inference(resolution,[],[f12,f429]) ).
fof(f1527,plain,
( r1(sK0,sK9(sK13))
| p2(sK13)
| ~ r1(sK0,sK13)
| ~ spl54_46 ),
inference(resolution,[],[f825,f177]) ).
fof(f1556,plain,
( r1(sK0,sK9(sK13))
| ~ r1(sK0,sK13)
| spl54_45
| ~ spl54_46 ),
inference(forward_subsumption_resolution,[],[f1527,f424]) ).
fof(f1576,plain,
( r1(sK0,sK9(sK13))
| spl54_45
| ~ spl54_46 ),
inference(forward_subsumption_resolution,[],[f1556,f429]) ).
fof(f2823,plain,
( r1(sK0,sK21)
| ~ spl54_35
| ~ spl54_38 ),
inference(resolution,[],[f824,f379]) ).
fof(f2853,plain,
( $false
| ~ spl54_35
| ~ spl54_38
| ~ spl54_40
| ~ spl54_41
| ~ spl54_44 ),
inference(forward_subsumption_resolution,[],[f2823,f620]) ).
fof(f2854,plain,
( ~ spl54_35
| ~ spl54_38
| ~ spl54_40
| ~ spl54_41
| ~ spl54_44 ),
inference(avatar_contradiction_clause,[],[f2853]) ).
fof(f3161,plain,
( ! [X0,X1] :
( ~ r1(sK26(sK9(X0)),X1)
| p2(X1)
| p2(X0)
| ~ r1(sK0,X0)
| ~ r1(sK0,sK9(X0))
| p2(sK9(X0))
| ~ r1(sK0,sK9(X0))
| p2(sK9(X0)) )
| ~ spl54_47
| ~ spl54_48 ),
inference(resolution,[],[f689,f433]) ).
fof(f3162,plain,
( ! [X0,X1] :
( ~ r1(sK26(sK9(X0)),X1)
| p2(X1)
| p2(X0)
| ~ r1(sK0,X0)
| ~ r1(sK0,sK9(X0))
| p2(sK9(X0)) )
| ~ spl54_47
| ~ spl54_48 ),
inference(duplicate_literal_removal,[],[f3161]) ).
fof(f3163,plain,
( ! [X0,X1] :
( ~ r1(sK0,sK9(X0))
| p2(X1)
| p2(X0)
| ~ r1(sK0,X0)
| ~ r1(sK26(sK9(X0)),X1) )
| ~ spl54_47
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f3162,f176]) ).
fof(f3963,definition,
( spl54_497
<=> p2(sK9(sK13)) ),
introduced(definition,[new_symbols(definition,[spl54_497])],[avatar_definition]) ).
fof(f3964,plain,
( ~ p2(sK9(sK13))
| spl54_497 ),
inference(avatar_component_clause,[],[f3963]) ).
fof(f3965,plain,
( p2(sK9(sK13))
| ~ spl54_497 ),
inference(avatar_component_clause,[],[f3963]) ).
fof(f4403,plain,
( p2(sK13)
| ~ r1(sK0,sK13)
| ~ spl54_497 ),
inference(resolution,[],[f3965,f176]) ).
fof(f4428,plain,
( ~ r1(sK0,sK13)
| spl54_45
| ~ spl54_497 ),
inference(forward_subsumption_resolution,[],[f4403,f424]) ).
fof(f4429,plain,
( $false
| spl54_45
| ~ spl54_46
| ~ spl54_497 ),
inference(forward_subsumption_resolution,[],[f4428,f429]) ).
fof(f4430,plain,
( spl54_45
| ~ spl54_46
| ~ spl54_497 ),
inference(avatar_contradiction_clause,[],[f4429]) ).
fof(f6651,plain,
( ! [X0] :
( p2(X0)
| p2(sK13)
| ~ r1(sK0,sK13)
| ~ r1(sK26(sK9(sK13)),X0) )
| spl54_45
| ~ spl54_46
| ~ spl54_47
| ~ spl54_48 ),
inference(resolution,[],[f3163,f1576]) ).
fof(f6659,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK0,sK13)
| ~ r1(sK26(sK9(sK13)),X0) )
| spl54_45
| ~ spl54_46
| ~ spl54_47
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f6651,f424]) ).
fof(f6663,plain,
( ! [X0] :
( ~ r1(sK26(sK9(sK13)),X0)
| p2(X0) )
| spl54_45
| ~ spl54_46
| ~ spl54_47
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f6659,f429]) ).
fof(f16465,plain,
( p2(sK39(sK9(sK13)))
| ~ r1(sK0,sK9(sK13))
| p2(sK9(sK13))
| ~ spl54_37
| spl54_45
| ~ spl54_46
| ~ spl54_47
| ~ spl54_48 ),
inference(resolution,[],[f6663,f386]) ).
fof(f16522,plain,
( ~ r1(sK0,sK9(sK13))
| p2(sK9(sK13))
| ~ spl54_36
| ~ spl54_37
| spl54_45
| ~ spl54_46
| ~ spl54_47
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f16465,f382]) ).
fof(f16524,plain,
( p2(sK9(sK13))
| ~ spl54_36
| ~ spl54_37
| spl54_45
| ~ spl54_46
| ~ spl54_47
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f16522,f1576]) ).
fof(f16525,plain,
( $false
| ~ spl54_36
| ~ spl54_37
| spl54_45
| ~ spl54_46
| ~ spl54_47
| ~ spl54_48
| spl54_497 ),
inference(forward_subsumption_resolution,[],[f16524,f3964]) ).
fof(f16526,plain,
( ~ spl54_36
| ~ spl54_37
| spl54_45
| ~ spl54_46
| ~ spl54_47
| ~ spl54_48
| spl54_497 ),
inference(avatar_contradiction_clause,[],[f16525]) ).
fof(f16761,plain,
( ! [X0] :
( ~ r1(sK11,X0)
| r1(sK0,X0) )
| ~ spl54_51 ),
inference(resolution,[],[f476,f12]) ).
fof(f16808,plain,
( ! [X2,X0,X1] :
( ~ r1(sK9(X2),sK24(X0))
| p2(X0)
| p2(X1)
| ~ r1(sK24(X0),X1)
| ~ r1(sK0,X0)
| p2(X2)
| ~ r1(sK0,X2) )
| ~ spl54_49 ),
inference(resolution,[],[f459,f89]) ).
fof(f17229,plain,
( r1(sK0,sK9(sK11))
| p2(sK11)
| ~ r1(sK0,sK11)
| ~ spl54_51 ),
inference(resolution,[],[f16761,f177]) ).
fof(f17258,plain,
( r1(sK0,sK9(sK11))
| ~ r1(sK0,sK11)
| ~ spl54_51
| spl54_52 ),
inference(forward_subsumption_resolution,[],[f17229,f482]) ).
fof(f17279,plain,
( r1(sK0,sK9(sK11))
| ~ spl54_51
| spl54_52 ),
inference(forward_subsumption_resolution,[],[f17258,f476]) ).
fof(f18197,plain,
( r1(sK9(sK11),sK24(sK9(sK11)))
| p2(sK9(sK11))
| ~ spl54_50
| ~ spl54_51
| spl54_52 ),
inference(resolution,[],[f17279,f463]) ).
fof(f18225,definition,
( spl54_2489
<=> p2(sK9(sK11)) ),
introduced(definition,[new_symbols(definition,[spl54_2489])],[avatar_definition]) ).
fof(f18226,plain,
( ~ p2(sK9(sK11))
| spl54_2489 ),
inference(avatar_component_clause,[],[f18225]) ).
fof(f18227,plain,
( p2(sK9(sK11))
| ~ spl54_2489 ),
inference(avatar_component_clause,[],[f18225]) ).
fof(f18252,definition,
( spl54_2495
<=> r1(sK9(sK11),sK24(sK9(sK11))) ),
introduced(definition,[new_symbols(definition,[spl54_2495])],[avatar_definition]) ).
fof(f18254,plain,
( r1(sK9(sK11),sK24(sK9(sK11)))
| ~ spl54_2495 ),
inference(avatar_component_clause,[],[f18252]) ).
fof(f18255,plain,
( spl54_2489
| spl54_2495
| ~ spl54_50
| ~ spl54_51
| spl54_52 ),
inference(avatar_split_clause,[],[f18197,f480,f474,f462,f18252,f18225]) ).
fof(f18557,plain,
( p2(sK11)
| ~ r1(sK0,sK11)
| ~ spl54_2489 ),
inference(resolution,[],[f18227,f176]) ).
fof(f18582,plain,
( ~ r1(sK0,sK11)
| spl54_52
| ~ spl54_2489 ),
inference(forward_subsumption_resolution,[],[f18557,f482]) ).
fof(f18583,plain,
( $false
| ~ spl54_51
| spl54_52
| ~ spl54_2489 ),
inference(forward_subsumption_resolution,[],[f18582,f476]) ).
fof(f18584,plain,
( ~ spl54_51
| spl54_52
| ~ spl54_2489 ),
inference(avatar_contradiction_clause,[],[f18583]) ).
fof(f21090,plain,
( ! [X0] :
( p2(sK9(sK11))
| p2(X0)
| ~ r1(sK24(sK9(sK11)),X0)
| ~ r1(sK0,sK9(sK11))
| p2(sK11)
| ~ r1(sK0,sK11) )
| ~ spl54_49
| ~ spl54_2495 ),
inference(resolution,[],[f18254,f16808]) ).
fof(f21138,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK24(sK9(sK11)),X0)
| ~ r1(sK0,sK9(sK11))
| p2(sK11)
| ~ r1(sK0,sK11) )
| ~ spl54_49
| ~ spl54_2495 ),
inference(forward_subsumption_resolution,[],[f21090,f176]) ).
fof(f21140,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK24(sK9(sK11)),X0)
| p2(sK11)
| ~ r1(sK0,sK11) )
| ~ spl54_49
| ~ spl54_51
| spl54_52
| ~ spl54_2495 ),
inference(forward_subsumption_resolution,[],[f21138,f17279]) ).
fof(f21141,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK24(sK9(sK11)),X0)
| ~ r1(sK0,sK11) )
| ~ spl54_49
| ~ spl54_51
| spl54_52
| ~ spl54_2495 ),
inference(forward_subsumption_resolution,[],[f21140,f482]) ).
fof(f21142,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK24(sK9(sK11)),X0) )
| ~ spl54_49
| ~ spl54_51
| spl54_52
| ~ spl54_2495 ),
inference(forward_subsumption_resolution,[],[f21141,f476]) ).
fof(f26092,definition,
( spl54_3517
<=> ! [X0] :
( p2(X0)
| ~ r1(sK24(sK9(sK11)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_3517])],[avatar_definition]) ).
fof(f26093,plain,
( ! [X0] :
( ~ r1(sK24(sK9(sK11)),X0)
| p2(X0) )
| ~ spl54_3517 ),
inference(avatar_component_clause,[],[f26092]) ).
fof(f41328,plain,
( spl54_3517
| ~ spl54_49
| ~ spl54_51
| spl54_52
| ~ spl54_2495 ),
inference(avatar_split_clause,[],[f21142,f18252,f480,f474,f458,f26092]) ).
fof(f89955,plain,
( p2(sK38(sK9(sK11)))
| ~ r1(sK0,sK9(sK11))
| p2(sK9(sK11))
| ~ spl54_43
| ~ spl54_3517 ),
inference(resolution,[],[f26093,f414]) ).
fof(f89968,plain,
( ~ r1(sK0,sK9(sK11))
| p2(sK9(sK11))
| ~ spl54_42
| ~ spl54_43
| ~ spl54_3517 ),
inference(forward_subsumption_resolution,[],[f89955,f410]) ).
fof(f89969,plain,
( p2(sK9(sK11))
| ~ spl54_42
| ~ spl54_43
| ~ spl54_51
| spl54_52
| ~ spl54_3517 ),
inference(forward_subsumption_resolution,[],[f89968,f17279]) ).
fof(f89970,plain,
( $false
| ~ spl54_42
| ~ spl54_43
| ~ spl54_51
| spl54_52
| spl54_2489
| ~ spl54_3517 ),
inference(forward_subsumption_resolution,[],[f89969,f18226]) ).
fof(f89971,plain,
( ~ spl54_42
| ~ spl54_43
| ~ spl54_51
| spl54_52
| spl54_2489
| ~ spl54_3517 ),
inference(avatar_contradiction_clause,[],[f89970]) ).
cnf(s28,plain,
( spl54_35
| spl54_36 ),
inference(sat_conversion,[],[f383]) ).
cnf(s29,plain,
( spl54_35
| spl54_37 ),
inference(sat_conversion,[],[f387]) ).
cnf(s30,plain,
( spl54_36
| spl54_38 ),
inference(sat_conversion,[],[f392]) ).
cnf(s31,plain,
( spl54_37
| spl54_38 ),
inference(sat_conversion,[],[f393]) ).
cnf(s34,plain,
( spl54_36
| spl54_40 ),
inference(sat_conversion,[],[f403]) ).
cnf(s35,plain,
( spl54_37
| spl54_40 ),
inference(sat_conversion,[],[f404]) ).
cnf(s36,plain,
( spl54_41
| spl54_42 ),
inference(sat_conversion,[],[f411]) ).
cnf(s37,plain,
( spl54_41
| spl54_43 ),
inference(sat_conversion,[],[f415]) ).
cnf(s38,plain,
( spl54_42
| spl54_44 ),
inference(sat_conversion,[],[f419]) ).
cnf(s39,plain,
( spl54_43
| spl54_44 ),
inference(sat_conversion,[],[f420]) ).
cnf(s40,plain,
( spl54_40
| ~ spl54_45 ),
inference(sat_conversion,[],[f425]) ).
cnf(s41,plain,
( spl54_40
| spl54_46 ),
inference(sat_conversion,[],[f430]) ).
cnf(s42,plain,
( spl54_40
| spl54_47 ),
inference(sat_conversion,[],[f434]) ).
cnf(s43,plain,
( spl54_40
| spl54_48 ),
inference(sat_conversion,[],[f438]) ).
cnf(s58,plain,
( spl54_38
| spl54_48 ),
inference(sat_conversion,[],[f453]) ).
cnf(s59,plain,
( spl54_38
| spl54_47 ),
inference(sat_conversion,[],[f454]) ).
cnf(s60,plain,
( spl54_35
| spl54_48 ),
inference(sat_conversion,[],[f455]) ).
cnf(s61,plain,
( spl54_35
| spl54_47 ),
inference(sat_conversion,[],[f456]) ).
cnf(s62,plain,
( spl54_44
| spl54_49 ),
inference(sat_conversion,[],[f460]) ).
cnf(s63,plain,
( spl54_44
| spl54_50 ),
inference(sat_conversion,[],[f464]) ).
cnf(s64,plain,
( spl54_41
| spl54_49 ),
inference(sat_conversion,[],[f465]) ).
cnf(s65,plain,
( spl54_41
| spl54_50 ),
inference(sat_conversion,[],[f466]) ).
cnf(s70,plain,
( spl54_35
| spl54_46 ),
inference(sat_conversion,[],[f471]) ).
cnf(s71,plain,
( spl54_35
| ~ spl54_45 ),
inference(sat_conversion,[],[f472]) ).
cnf(s72,plain,
( spl54_41
| spl54_51 ),
inference(sat_conversion,[],[f477]) ).
cnf(s73,plain,
( spl54_44
| spl54_51 ),
inference(sat_conversion,[],[f478]) ).
cnf(s74,plain,
( spl54_41
| ~ spl54_52 ),
inference(sat_conversion,[],[f483]) ).
cnf(s75,plain,
( spl54_44
| ~ spl54_52 ),
inference(sat_conversion,[],[f484]) ).
cnf(s100,plain,
( spl54_38
| ~ spl54_45 ),
inference(sat_conversion,[],[f525]) ).
cnf(s101,plain,
( spl54_38
| spl54_46 ),
inference(sat_conversion,[],[f526]) ).
cnf(s415,plain,
( ~ spl54_35
| ~ spl54_38
| ~ spl54_40
| ~ spl54_41
| ~ spl54_44 ),
inference(sat_conversion,[],[f2854]) ).
cnf(s656,plain,
( spl54_45
| ~ spl54_46
| ~ spl54_497 ),
inference(sat_conversion,[],[f4430]) ).
cnf(s2020,plain,
( ~ spl54_36
| ~ spl54_37
| spl54_45
| ~ spl54_46
| ~ spl54_47
| ~ spl54_48
| spl54_497 ),
inference(sat_conversion,[],[f16526]) ).
cnf(s2271,plain,
( ~ spl54_50
| ~ spl54_51
| spl54_52
| spl54_2489
| spl54_2495 ),
inference(sat_conversion,[],[f18255]) ).
cnf(s2316,plain,
( ~ spl54_51
| spl54_52
| ~ spl54_2489 ),
inference(sat_conversion,[],[f18584]) ).
cnf(s4586,plain,
( ~ spl54_49
| ~ spl54_51
| spl54_52
| ~ spl54_2495
| spl54_3517 ),
inference(sat_conversion,[],[f41328]) ).
cnf(s8924,plain,
( ~ spl54_42
| ~ spl54_43
| ~ spl54_51
| spl54_52
| spl54_2489
| ~ spl54_3517 ),
inference(sat_conversion,[],[f89971]) ).
cnf(s8945,plain,
spl54_35,
inference(rat,[],[s2020,s656,s28,s29,s60,s61,s70,s71]) ).
cnf(s8946,plain,
( spl54_38
| ~ spl54_37
| ~ spl54_36 ),
inference(rat,[],[s2020,s656,s58,s59,s100,s101]) ).
cnf(s8947,plain,
spl54_41,
inference(rat,[],[s4586,s8924,s2271,s2316,s36,s37,s64,s65,s72,s74]) ).
cnf(s8948,plain,
spl54_44,
inference(rat,[],[s4586,s8924,s2271,s2316,s38,s39,s62,s63,s73,s75]) ).
cnf(s8953,plain,
spl54_37,
inference(rat,[],[s415,s31,s35,s8945,s8948,s8947]) ).
cnf(s8954,plain,
spl54_36,
inference(rat,[],[s415,s30,s34,s8945,s8948,s8947]) ).
cnf(s8955,plain,
spl54_38,
inference(rat,[],[s8946,s8953,s8954]) ).
cnf(s8957,plain,
~ spl54_40,
inference(rat,[],[s415,s8947,s8948,s8945,s8955]) ).
cnf(s8958,plain,
spl54_48,
inference(rat,[],[s43,s8957]) ).
cnf(s8959,plain,
spl54_47,
inference(rat,[],[s42,s8957]) ).
cnf(s8960,plain,
spl54_46,
inference(rat,[],[s41,s8957]) ).
cnf(s8961,plain,
~ spl54_45,
inference(rat,[],[s40,s8957]) ).
cnf(s8965,plain,
spl54_497,
inference(rat,[],[s2020,s8961,s8958,s8960,s8953,s8954,s8959]) ).
cnf(s8968,plain,
$false,
inference(rat,[],[s656,s8961,s8960,s8965]) ).
fof(f89972,plain,
$false,
inference(avatar_sat_refutation,[],[s8968]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL676+1.005 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n014.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 16:33:16 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.29/4.20 % (989035)Will run a generic schedule for satisfiability detection.
% 26.29/4.20 % (989043)dis+10_1_sil=32000:sp=arity:random_seed=4010130542:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 26.29/4.20 % (989041)% WARNING: option uhcvi not known.
% 26.29/4.20 % (989044)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4128723129:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 26.29/4.20 % (989040)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1889599175_2999 on theBenchmark for (2999ds/0Mi)
% 26.29/4.20 % (989041)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1472891813:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 26.29/4.20 % (989042)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3607289194:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 26.29/4.20 % TRYING [1]
% 26.29/4.20 % TRYING [2]
% 26.29/4.20 % TRYING [3]
% 26.29/4.20 % TRYING [4]
% 26.29/4.20 % (989045)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=441061595:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 26.29/4.20 % (989046)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2271580703:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 26.29/4.20 % (989043)Instruction limit reached!
% 26.29/4.20 % (989043)------------------------------
% 26.29/4.20 % (989043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.20 % (989043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.20 % (989043)CaDiCaL version: 2.1.3
% 26.29/4.20 % (989043)Termination reason: Instruction limit
% 26.29/4.20 % (989043)Termination phase: Saturation
% 26.29/4.20 % (989043)Time elapsed: 0.034 s
% 26.29/4.20 % (989043)Peak memory usage: 12 MB
% 26.29/4.20 % (989043)Instructions burned: 106 (million)
% 26.29/4.20 % TRYING [5]
% 26.29/4.20 % (989054)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=437543159:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 26.29/4.20 % TRYING [1]
% 26.29/4.20 % TRYING [2]
% 26.29/4.20 % TRYING [3]
% 26.29/4.20 % TRYING [4]
% 26.29/4.20 % TRYING [5]
% 26.29/4.20 % (989044)Instruction limit reached!
% 26.29/4.20 % (989044)------------------------------
% 26.29/4.20 % (989044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.20 % (989044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.20 % (989044)CaDiCaL version: 2.1.3
% 26.29/4.20 % (989044)Termination reason: Instruction limit
% 26.29/4.20 % (989044)Termination phase: Saturation
% 26.29/4.20 % (989044)Time elapsed: 0.064 s
% 26.29/4.20 % (989044)Peak memory usage: 12 MB
% 26.29/4.20 % (989044)Instructions burned: 116 (million)
% 26.29/4.20 % TRYING [6]
% 26.29/4.20 % (989056)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1479212602:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 26.29/4.20 % TRYING [6]
% 26.29/4.20 % (989045)Instruction limit reached!
% 26.29/4.20 % (989045)------------------------------
% 26.29/4.20 % (989045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.20 % (989045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.20 % (989045)CaDiCaL version: 2.1.3
% 26.29/4.20 % (989045)Termination reason: Instruction limit
% 26.29/4.20 % (989045)Termination phase: Saturation
% 26.29/4.20 % (989045)Time elapsed: 0.082 s
% 26.29/4.20 % (989045)Peak memory usage: 15 MB
% 26.29/4.20 % (989045)Instructions burned: 132 (million)
% 26.29/4.20 % (989058)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=175205118:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 26.29/4.20 % (989056)Instruction limit reached!
% 26.29/4.20 % (989056)------------------------------
% 26.29/4.20 % (989056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.20 % (989056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.20 % (989056)CaDiCaL version: 2.1.3
% 26.29/4.20 % (989056)Termination reason: Instruction limit
% 26.29/4.20 % (989056)Termination phase: Saturation
% 26.29/4.20 % (989056)Time elapsed: 0.079 s
% 26.29/4.20 % (989056)Peak memory usage: 15 MB
% 26.29/4.20 % (989056)Instructions burned: 131 (million)
% 26.29/4.20 % (989046)Instruction limit reached!
% 26.29/4.20 % (989046)------------------------------
% 26.29/4.20 % (989046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.29/4.20 % (989046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.29/4.20 % (989046)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989046)Termination reason: Instruction limit
% 26.77/4.24 % (989046)Termination phase: Saturation
% 26.77/4.24 % (989046)Time elapsed: 0.144 s
% 26.77/4.24 % (989046)Peak memory usage: 14 MB
% 26.77/4.24 % (989046)Instructions burned: 159 (million)
% 26.77/4.24 % (989060)ott-21_1_sil=16000:fs=off:random_seed=1278961568:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 26.77/4.24 % (989061)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=701458661:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 26.77/4.24 % (989054)Instruction limit reached!
% 26.77/4.24 % (989054)------------------------------
% 26.77/4.24 % (989054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.24 % (989054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.24 % (989054)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989054)Termination reason: Instruction limit
% 26.77/4.24 % (989054)Termination phase: Finite model building SAT solving
% 26.77/4.24 % (989054)Time elapsed: 0.197 s
% 26.77/4.24 % (989054)Peak memory usage: 15 MB
% 26.77/4.24 % (989054)Instructions burned: 716 (million)
% 26.77/4.24 % (989064)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2654820203:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 26.77/4.24 % TRYING [1]
% 26.77/4.24 % TRYING [7]
% 26.77/4.24 % TRYING [2]
% 26.77/4.24 % TRYING [3]
% 26.77/4.24 % TRYING [4]
% 26.77/4.24 % TRYING [5]
% 26.77/4.24 % (989060)Instruction limit reached!
% 26.77/4.24 % (989060)------------------------------
% 26.77/4.24 % (989060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.24 % (989060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.24 % (989060)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989060)Termination reason: Instruction limit
% 26.77/4.24 % (989060)Termination phase: Saturation
% 26.77/4.24 % (989060)Time elapsed: 0.094 s
% 26.77/4.24 % (989060)Peak memory usage: 15 MB
% 26.77/4.24 % (989060)Instructions burned: 182 (million)
% 26.77/4.24 % TRYING [6]
% 26.77/4.24 % (989066)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1544866457:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 26.77/4.24 % TRYING [7]
% 26.77/4.24 % (989058)Instruction limit reached!
% 26.77/4.24 % (989058)------------------------------
% 26.77/4.24 % (989058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.24 % (989058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.24 % (989058)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989058)Termination reason: Instruction limit
% 26.77/4.24 % (989058)Termination phase: Saturation
% 26.77/4.24 % (989058)Time elapsed: 0.387 s
% 26.77/4.24 % (989058)Peak memory usage: 21 MB
% 26.77/4.24 % (989058)Instructions burned: 684 (million)
% 26.77/4.24 % (989064)Instruction limit reached!
% 26.77/4.24 % (989064)------------------------------
% 26.77/4.24 % (989064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.24 % (989064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.24 % (989064)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989064)Termination reason: Instruction limit
% 26.77/4.24 % (989064)Termination phase: Finite model building SAT solving
% 26.77/4.24 % (989064)Time elapsed: 0.265 s
% 26.77/4.24 % (989064)Peak memory usage: 15 MB
% 26.77/4.24 % (989064)Instructions burned: 866 (million)
% 26.77/4.24 % (989076)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1063936698:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 26.77/4.24 % (989077)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2365347329:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 26.77/4.24 % TRYING [14]
% 26.77/4.24 % (989061)Instruction limit reached!
% 26.77/4.24 % (989061)------------------------------
% 26.77/4.24 % (989061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.24 % (989061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.24 % (989061)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989061)Termination reason: Instruction limit
% 26.77/4.24 % (989061)Termination phase: Saturation
% 26.77/4.24 % (989061)Time elapsed: 0.384 s
% 26.77/4.24 % (989061)Peak memory usage: 17 MB
% 26.77/4.24 % (989061)Instructions burned: 477 (million)
% 26.77/4.24 % (989082)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2135298475:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 26.77/4.24 % (989076)Instruction limit reached!
% 26.77/4.24 % (989076)------------------------------
% 26.77/4.24 % (989076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.24 % (989076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.24 % (989076)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989076)Termination reason: Instruction limit
% 26.77/4.24 % (989076)Termination phase: Finite model building SAT solving
% 26.77/4.24 % (989076)Time elapsed: 0.300 s
% 26.77/4.24 % (989076)Peak memory usage: 27 MB
% 26.77/4.24 % (989076)Instructions burned: 891 (million)
% 26.77/4.24 % (989093)fmb+10_1_sil=64000:random_seed=4002523804:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 26.77/4.24 % TRYING [1]
% 26.77/4.24 % TRYING [2]
% 26.77/4.24 % TRYING [3]
% 26.77/4.24 % TRYING [4]
% 26.77/4.24 % TRYING [5]
% 26.77/4.24 % TRYING [6]
% 26.77/4.24 % TRYING [7]
% 26.77/4.24 % TRYING [8]
% 26.77/4.24 % TRYING [8]
% 26.77/4.24 % (989077)Instruction limit reached!
% 26.77/4.24 % (989077)------------------------------
% 26.77/4.24 % (989077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.24 % (989077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.24 % (989077)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989077)Termination reason: Instruction limit
% 26.77/4.24 % (989077)Termination phase: Saturation
% 26.77/4.24 % (989077)Time elapsed: 0.682 s
% 26.77/4.24 % (989077)Peak memory usage: 24 MB
% 26.77/4.24 % (989077)Instructions burned: 693 (million)
% 26.77/4.24 % (989082)Instruction limit reached!
% 26.77/4.24 % (989082)------------------------------
% 26.77/4.24 % (989082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.24 % (989082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.24 % (989082)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989082)Termination reason: Instruction limit
% 26.77/4.24 % (989082)Termination phase: Saturation
% 26.77/4.24 % (989082)Time elapsed: 0.641 s
% 26.77/4.24 % (989082)Peak memory usage: 19 MB
% 26.77/4.24 % (989082)Instructions burned: 880 (million)
% 26.77/4.24 % (989101)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2826700876:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 26.77/4.24 % (989066)Instruction limit reached!
% 26.77/4.24 % (989066)------------------------------
% 26.77/4.24 % (989066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.24 % (989066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.24 % (989066)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989066)Termination reason: Instruction limit
% 26.77/4.24 % (989066)Termination phase: Saturation
% 26.77/4.24 % (989066)Time elapsed: 0.964 s
% 26.77/4.24 % (989066)Peak memory usage: 29 MB
% 26.77/4.24 % (989066)Instructions burned: 1179 (million)
% 26.77/4.24 % TRYING [20]
% 26.77/4.24 % (989103)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1247740906:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 26.77/4.24 % (989105)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2004470392:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 26.77/4.24 % TRYING [8]
% 26.77/4.24 % TRYING [9]
% 26.77/4.24 % (989103)Instruction limit reached!
% 26.77/4.24 % (989103)------------------------------
% 26.77/4.24 % (989103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.24 % (989103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.24 % (989103)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989103)Termination reason: Instruction limit
% 26.77/4.24 % (989103)Termination phase: Finite model building SAT solving
% 26.77/4.24 % (989103)Time elapsed: 0.605 s
% 26.77/4.24 % (989103)Peak memory usage: 19 MB
% 26.77/4.24 % (989103)Instructions burned: 921 (million)
% 26.77/4.24 % (989113)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=698853929:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 26.77/4.24 % (989113)Instruction limit reached!
% 26.77/4.24 % (989113)------------------------------
% 26.77/4.24 % (989113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.24 % (989113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.24 % (989113)CaDiCaL version: 2.1.3
% 26.77/4.24 % (989113)Termination reason: Instruction limit
% 26.77/4.24 % (989113)Termination phase: Saturation
% 26.77/4.24 % (989113)Time elapsed: 0.808 s
% 26.77/4.24 % (989113)Peak memory usage: 29 MB
% 26.77/4.24 % (989113)Instructions burned: 1473 (million)
% 26.77/4.24 % (989268)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=330665299:i=6324_2972 on theBenchmark for (2972ds/6324Mi)
% 26.77/4.24 % TRYING [77]
% 26.77/4.24 % TRYING [9]
% 26.77/4.24 % TRYING [10]
% 26.77/4.24 % (989041) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-989035-989041"...
% 26.77/4.24 % (989041)...printing done.
% 26.77/4.24 % (989041)Refutation found. Thanks to Tanya!
% 26.77/4.24 % SZS status Theorem for theBenchmark
% 26.77/4.24 % SZS output start Proof for theBenchmark
% See solution above
% 26.77/4.25 % (989041)------------------------------
% 26.77/4.25 % (989041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.77/4.25 % (989041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.77/4.25 % (989041)CaDiCaL version: 2.1.3
% 26.77/4.25 % (989041)Termination reason: Refutation
% 26.77/4.25 % (989041)Time elapsed: 3.754 s
% 26.77/4.25 % (989041)Peak memory usage: 53 MB
% 26.77/4.25 % (989041)Instructions burned: 6126 (million)
% 26.77/4.25 % (989035)Success in time 3.828 s
% 26.77/4.25 % Vampire exiting
%------------------------------------------------------------------------------