%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n008.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 11:55:47 AM UTC 2026
% Result : Theorem 4.33s 1.58s
% Output : Refutation 5.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 114 ( 11 unt; 17 def)
% Number of atoms : 2064 ( 0 equ)
% Maximal formula atoms : 207 ( 18 avg)
% Number of connectives : 3274 (1324 ~;1459 |; 483 &)
% ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 8 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 14 con; 0-1 aty)
% Number of variables : 890 ( 0 sgn 707 !; 183 ?)
% 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)
| ~ ! [X62] :
( ~ r1(X0,X62)
| p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63)
| ~ ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] : ~ r1(X65,X66) )
| ~ ( p4(X64)
| p3(X64)
| p2(X64)
| p1(X64)
| ! [X67] : ~ r1(X64,X67) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X68] : ~ r1(X0,X68)
| ~ ! [X69] :
( ~ r1(X0,X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] : ~ r1(X69,X70)
| ~ ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) )
| ~ ( p3(X71)
| p2(X71)
| p1(X71)
| ! [X74] : ~ r1(X71,X74) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X75] : ~ r1(X0,X75)
| ~ ! [X76] :
( ~ r1(X0,X76)
| p2(X76)
| p1(X76)
| ! [X77] : ~ r1(X76,X77)
| ~ ! [X78] :
( ~ r1(X76,X78)
| ! [X79] :
( ~ r1(X78,X79)
| p2(X79)
| p1(X79)
| ! [X80] : ~ r1(X79,X80) )
| ~ ( p2(X78)
| p1(X78)
| ! [X81] : ~ r1(X78,X81) ) ) ) )
& ( p1(X0)
| ! [X82] : ~ r1(X0,X82)
| ~ ! [X83] :
( ~ r1(X0,X83)
| p1(X83)
| ! [X84] : ~ r1(X83,X84)
| ~ ! [X85] :
( ~ r1(X83,X85)
| ! [X86] :
( ~ r1(X85,X86)
| p1(X86)
| ! [X87] : ~ r1(X86,X87) )
| ~ ( p1(X85)
| ! [X88] : ~ r1(X85,X88) ) ) ) )
& ! [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(true_and_false_elimination,[],[f5]) ).
fof(f7,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)
| ~ ! [X62] :
( ~ r1(X0,X62)
| p4(X62)
| p3(X62)
| p2(X62)
| p1(X62)
| ! [X63] : ~ r1(X62,X63)
| ~ ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] : ~ r1(X65,X66) )
| ~ ( p4(X64)
| p3(X64)
| p2(X64)
| p1(X64)
| ! [X67] : ~ r1(X64,X67) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X68] : ~ r1(X0,X68)
| ~ ! [X69] :
( ~ r1(X0,X69)
| p3(X69)
| p2(X69)
| p1(X69)
| ! [X70] : ~ r1(X69,X70)
| ~ ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) )
| ~ ( p3(X71)
| p2(X71)
| p1(X71)
| ! [X74] : ~ r1(X71,X74) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X75] : ~ r1(X0,X75)
| ~ ! [X76] :
( ~ r1(X0,X76)
| p2(X76)
| p1(X76)
| ! [X77] : ~ r1(X76,X77)
| ~ ! [X78] :
( ~ r1(X76,X78)
| ! [X79] :
( ~ r1(X78,X79)
| p2(X79)
| p1(X79)
| ! [X80] : ~ r1(X79,X80) )
| ~ ( p2(X78)
| p1(X78)
| ! [X81] : ~ r1(X78,X81) ) ) ) )
& ( p1(X0)
| ! [X82] : ~ r1(X0,X82)
| ~ ! [X83] :
( ~ r1(X0,X83)
| p1(X83)
| ! [X84] : ~ r1(X83,X84)
| ~ ! [X85] :
( ~ r1(X83,X85)
| ! [X86] :
( ~ r1(X85,X86)
| p1(X86)
| ! [X87] : ~ r1(X86,X87) )
| ~ ( p1(X85)
| ! [X88] : ~ r1(X85,X88) ) ) ) )
& ! [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,[],[f6]) ).
fof(f8,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)
| ? [X62] :
( r1(X0,X62)
& ~ p4(X62)
& ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X63] : r1(X62,X63)
& ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] : ~ r1(X65,X66) )
| ( ~ p4(X64)
& ~ p3(X64)
& ~ p2(X64)
& ~ p1(X64)
& ? [X67] : r1(X64,X67) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X68] : ~ r1(X0,X68)
| ? [X69] :
( r1(X0,X69)
& ~ p3(X69)
& ~ p2(X69)
& ~ p1(X69)
& ? [X70] : r1(X69,X70)
& ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) )
| ( ~ p3(X71)
& ~ p2(X71)
& ~ p1(X71)
& ? [X74] : r1(X71,X74) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X75] : ~ r1(X0,X75)
| ? [X76] :
( r1(X0,X76)
& ~ p2(X76)
& ~ p1(X76)
& ? [X77] : r1(X76,X77)
& ! [X78] :
( ~ r1(X76,X78)
| ! [X79] :
( ~ r1(X78,X79)
| p2(X79)
| p1(X79)
| ! [X80] : ~ r1(X79,X80) )
| ( ~ p2(X78)
& ~ p1(X78)
& ? [X81] : r1(X78,X81) ) ) ) )
& ( p1(X0)
| ! [X82] : ~ r1(X0,X82)
| ? [X83] :
( r1(X0,X83)
& ~ p1(X83)
& ? [X84] : r1(X83,X84)
& ! [X85] :
( ~ r1(X83,X85)
| ! [X86] :
( ~ r1(X85,X86)
| p1(X86)
| ! [X87] : ~ r1(X86,X87) )
| ( ~ p1(X85)
& ? [X88] : r1(X85,X88) ) ) ) )
& ! [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,[],[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)
| ? [X62] :
( r1(X0,X62)
& ~ p4(X62)
& ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X63] : r1(X62,X63)
& ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] : ~ r1(X65,X66) )
| ( ~ p4(X64)
& ~ p3(X64)
& ~ p2(X64)
& ~ p1(X64)
& ? [X67] : r1(X64,X67) ) ) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X68] : ~ r1(X0,X68)
| ? [X69] :
( r1(X0,X69)
& ~ p3(X69)
& ~ p2(X69)
& ~ p1(X69)
& ? [X70] : r1(X69,X70)
& ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) )
| ( ~ p3(X71)
& ~ p2(X71)
& ~ p1(X71)
& ? [X74] : r1(X71,X74) ) ) ) )
& ( p2(X0)
| p1(X0)
| ! [X75] : ~ r1(X0,X75)
| ? [X76] :
( r1(X0,X76)
& ~ p2(X76)
& ~ p1(X76)
& ? [X77] : r1(X76,X77)
& ! [X78] :
( ~ r1(X76,X78)
| ! [X79] :
( ~ r1(X78,X79)
| p2(X79)
| p1(X79)
| ! [X80] : ~ r1(X79,X80) )
| ( ~ p2(X78)
& ~ p1(X78)
& ? [X81] : r1(X78,X81) ) ) ) )
& ( p1(X0)
| ! [X82] : ~ r1(X0,X82)
| ? [X83] :
( r1(X0,X83)
& ~ p1(X83)
& ? [X84] : r1(X83,X84)
& ! [X85] :
( ~ r1(X83,X85)
| ! [X86] :
( ~ r1(X85,X86)
| p1(X86)
| ! [X87] : ~ r1(X86,X87) )
| ( ~ p1(X85)
& ? [X88] : r1(X85,X88) ) ) ) )
& ! [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,[],[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,
! [X69] :
( ! [X71] :
( ~ r1(X69,X71)
| ! [X72] :
( ~ r1(X71,X72)
| p3(X72)
| p2(X72)
| p1(X72)
| ! [X73] : ~ r1(X72,X73) )
| ( ~ p3(X71)
& ~ p2(X71)
& ~ p1(X71)
& ? [X74] : r1(X71,X74) ) )
| ~ sP0(X69) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f13,definition,
! [X62] :
( ! [X64] :
( ~ r1(X62,X64)
| ! [X65] :
( ~ r1(X64,X65)
| p4(X65)
| p3(X65)
| p2(X65)
| p1(X65)
| ! [X66] : ~ r1(X65,X66) )
| ( ~ p4(X64)
& ~ p3(X64)
& ~ p2(X64)
& ~ p1(X64)
& ? [X67] : r1(X64,X67) ) )
| ~ sP1(X62) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f14,definition,
! [X42] :
( ! [X43] :
( ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44)
| ? [X45] :
( r1(X44,X45)
& ? [X46] :
( r1(X45,X46)
& ~ p2(X46) )
& p2(X45) ) ) )
| ~ sP2(X42) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f15,definition,
! [X41] :
( ( ? [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) ) ) )
| ~ sP3(X41) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X41] :
( ! [X42] :
( ~ r1(X41,X42)
| ( ( sP2(X42)
| ? [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) ) ) ) )
| ~ sP4(X41) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f17,definition,
! [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) ) ) )
| ~ sP5(X31) ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f18,definition,
! [X0] :
( ! [X22] :
( ~ r1(X0,X22)
| ! [X23] :
( ~ r1(X22,X23)
| p2(X23)
| ? [X24] :
( r1(X23,X24)
& ? [X25] :
( r1(X24,X25)
& ~ p2(X25) )
& p2(X24) ) ) )
| ~ sP6(X0) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X0] :
( ( ( sP6(X0)
| ? [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) ) ) )
| ~ sP7(X0) ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X0] :
( ( ? [X14] :
( r1(X0,X14)
& ~ p2(X14) )
& ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ? [X16] :
( r1(X15,X16)
& ? [X17] :
( r1(X16,X17)
& ~ p2(X17) )
& p2(X16) ) ) )
| ~ sP8(X0) ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f21,definition,
! [X0] :
( ( ? [X4] :
( r1(X0,X4)
& ~ p2(X4) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP9(X0) ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f22,plain,
? [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p1(X1)
& ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ~ p5(X3) ) ) )
| sP9(X0) )
& ? [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) ) )
| sP8(X0) )
& ? [X18] :
( r1(X0,X18)
& ~ p1(X18) )
& ! [X19] :
( ~ r1(X0,X19)
| p1(X19)
| ? [X20] :
( r1(X19,X20)
& ? [X21] :
( r1(X20,X21)
& ~ p1(X21) )
& p1(X20) ) )
& ( sP7(X0)
| ? [X31] :
( r1(X0,X31)
& ( sP5(X31)
| ( ~ p2(X31)
& ! [X39] :
( ~ r1(X31,X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ p2(X39) ) ) )
& ! [X41] :
( ~ r1(X31,X41)
| sP4(X41)
| sP3(X41)
| ( ~ 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)
| ? [X62] :
( r1(X0,X62)
& ~ p4(X62)
& ~ p3(X62)
& ~ p2(X62)
& ~ p1(X62)
& ? [X63] : r1(X62,X63)
& sP1(X62) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X68] : ~ r1(X0,X68)
| ? [X69] :
( r1(X0,X69)
& ~ p3(X69)
& ~ p2(X69)
& ~ p1(X69)
& ? [X70] : r1(X69,X70)
& sP0(X69) ) )
& ( p2(X0)
| p1(X0)
| ! [X75] : ~ r1(X0,X75)
| ? [X76] :
( r1(X0,X76)
& ~ p2(X76)
& ~ p1(X76)
& ? [X77] : r1(X76,X77)
& ! [X78] :
( ~ r1(X76,X78)
| ! [X79] :
( ~ r1(X78,X79)
| p2(X79)
| p1(X79)
| ! [X80] : ~ r1(X79,X80) )
| ( ~ p2(X78)
& ~ p1(X78)
& ? [X81] : r1(X78,X81) ) ) ) )
& ( p1(X0)
| ! [X82] : ~ r1(X0,X82)
| ? [X83] :
( r1(X0,X83)
& ~ p1(X83)
& ? [X84] : r1(X83,X84)
& ! [X85] :
( ~ r1(X83,X85)
| ! [X86] :
( ~ r1(X85,X86)
| p1(X86)
| ! [X87] : ~ r1(X86,X87) )
| ( ~ p1(X85)
& ? [X88] : r1(X85,X88) ) ) ) )
& ! [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(definition_folding,[],[f9,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f23,plain,
! [X0] :
( ( ? [X4] :
( r1(X0,X4)
& ~ p2(X4) )
& ! [X5] :
( ~ r1(X0,X5)
| p2(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p2(X7) )
& p2(X6) ) ) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f24,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p2(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) ) ) )
| ~ sP9(X0) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( r1(X0,sK10(X0))
& ~ p2(sK10(X0))
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ( r1(X2,sK11(X2))
& r1(sK11(X2),sK12(X2))
& ~ p2(sK12(X2))
& p2(sK11(X2)) ) ) )
| ~ sP9(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X1,sK10(X0)),skolemize(X3,sK11(X2)),skolemize(X4,sK12(X2))],[f24]) ).
fof(f26,plain,
! [X0] :
( ( ? [X14] :
( r1(X0,X14)
& ~ p2(X14) )
& ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ? [X16] :
( r1(X15,X16)
& ? [X17] :
( r1(X16,X17)
& ~ p2(X17) )
& p2(X16) ) ) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f20]) ).
fof(f27,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p2(X1) )
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) )
& p2(X3) ) ) )
| ~ sP8(X0) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ( r1(X0,sK13(X0))
& ~ p2(sK13(X0))
& ! [X2] :
( ~ r1(X0,X2)
| p2(X2)
| ( r1(X2,sK14(X2))
& r1(sK14(X2),sK15(X2))
& ~ p2(sK15(X2))
& p2(sK14(X2)) ) ) )
| ~ sP8(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X1,sK13(X0)),skolemize(X3,sK14(X2)),skolemize(X4,sK15(X2))],[f27]) ).
fof(f53,plain,
? [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p1(X1)
& ? [X2] :
( r1(X1,X2)
& ! [X3] :
( ~ r1(X2,X3)
| ~ p5(X3) ) ) )
| sP9(X0) )
& ? [X4] :
( r1(X0,X4)
& ~ p3(X4) )
& ! [X5] :
( ~ r1(X0,X5)
| p3(X5)
| ? [X6] :
( r1(X5,X6)
& ? [X7] :
( r1(X6,X7)
& ~ p3(X7) )
& p3(X6) ) )
& ( ! [X8] :
( ~ r1(X0,X8)
| ? [X9] :
( r1(X8,X9)
& p5(X9) ) )
| sP8(X0) )
& ? [X10] :
( r1(X0,X10)
& ~ p1(X10) )
& ! [X11] :
( ~ r1(X0,X11)
| p1(X11)
| ? [X12] :
( r1(X11,X12)
& ? [X13] :
( r1(X12,X13)
& ~ p1(X13) )
& p1(X12) ) )
& ( sP7(X0)
| ? [X14] :
( r1(X0,X14)
& ( sP5(X14)
| ( ~ p2(X14)
& ! [X15] :
( ~ r1(X14,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
& ! [X17] :
( ~ r1(X14,X17)
| sP4(X17)
| sP3(X17)
| ( ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) ) ) )
& ( p4(X0)
| p3(X0)
| p2(X0)
| p1(X0)
| ! [X20] : ~ r1(X0,X20)
| ? [X21] :
( r1(X0,X21)
& ~ p4(X21)
& ~ p3(X21)
& ~ p2(X21)
& ~ p1(X21)
& ? [X22] : r1(X21,X22)
& sP1(X21) ) )
& ( p3(X0)
| p2(X0)
| p1(X0)
| ! [X23] : ~ r1(X0,X23)
| ? [X24] :
( r1(X0,X24)
& ~ p3(X24)
& ~ p2(X24)
& ~ p1(X24)
& ? [X25] : r1(X24,X25)
& sP0(X24) ) )
& ( p2(X0)
| p1(X0)
| ! [X26] : ~ r1(X0,X26)
| ? [X27] :
( r1(X0,X27)
& ~ p2(X27)
& ~ p1(X27)
& ? [X28] : r1(X27,X28)
& ! [X29] :
( ~ r1(X27,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30)
| p1(X30)
| ! [X31] : ~ r1(X30,X31) )
| ( ~ p2(X29)
& ~ p1(X29)
& ? [X32] : r1(X29,X32) ) ) ) )
& ( p1(X0)
| ! [X33] : ~ r1(X0,X33)
| ? [X34] :
( r1(X0,X34)
& ~ p1(X34)
& ? [X35] : r1(X34,X35)
& ! [X36] :
( ~ r1(X34,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p1(X37)
| ! [X38] : ~ r1(X37,X38) )
| ( ~ p1(X36)
& ? [X39] : r1(X36,X39) ) ) ) )
& ! [X40] :
( ~ r1(X0,X40)
| p2(X40)
| ? [X41] :
( r1(X40,X41)
& ~ p2(X41)
& ! [X42] :
( ~ r1(X41,X42)
| ! [X43] :
( ~ r1(X42,X43)
| p2(X43) )
| ~ p2(X42) ) ) ) ),
inference(rectify,[],[f22]) ).
fof(f54,plain,
( ( ( r1(sK36,sK37)
& ~ p1(sK37)
& r1(sK37,sK38)
& ! [X3] :
( ~ r1(sK38,X3)
| ~ p5(X3) ) )
| sP9(sK36) )
& r1(sK36,sK39)
& ~ p3(sK39)
& ! [X5] :
( ~ r1(sK36,X5)
| p3(X5)
| ( r1(X5,sK40(X5))
& r1(sK40(X5),sK41(X5))
& ~ p3(sK41(X5))
& p3(sK40(X5)) ) )
& ( ! [X8] :
( ~ r1(sK36,X8)
| ( r1(X8,sK42(X8))
& p5(sK42(X8)) ) )
| sP8(sK36) )
& r1(sK36,sK43)
& ~ p1(sK43)
& ! [X11] :
( ~ r1(sK36,X11)
| p1(X11)
| ( r1(X11,sK44(X11))
& r1(sK44(X11),sK45(X11))
& ~ p1(sK45(X11))
& p1(sK44(X11)) ) )
& ( sP7(sK36)
| ( r1(sK36,sK46)
& ( sP5(sK46)
| ( ~ p2(sK46)
& ! [X15] :
( ~ r1(sK46,X15)
| ! [X16] :
( ~ r1(X15,X16)
| p2(X16) )
| ~ p2(X15) ) ) )
& ! [X17] :
( ~ r1(sK46,X17)
| sP4(X17)
| sP3(X17)
| ( ~ p2(X17)
& ! [X18] :
( ~ r1(X17,X18)
| ! [X19] :
( ~ r1(X18,X19)
| p2(X19) )
| ~ p2(X18) ) ) ) ) )
& ( p4(sK36)
| p3(sK36)
| p2(sK36)
| p1(sK36)
| ! [X20] : ~ r1(sK36,X20)
| ( r1(sK36,sK47)
& ~ p4(sK47)
& ~ p3(sK47)
& ~ p2(sK47)
& ~ p1(sK47)
& r1(sK47,sK48)
& sP1(sK47) ) )
& ( p3(sK36)
| p2(sK36)
| p1(sK36)
| ! [X23] : ~ r1(sK36,X23)
| ( r1(sK36,sK49)
& ~ p3(sK49)
& ~ p2(sK49)
& ~ p1(sK49)
& r1(sK49,sK50)
& sP0(sK49) ) )
& ( p2(sK36)
| p1(sK36)
| ! [X26] : ~ r1(sK36,X26)
| ( r1(sK36,sK51)
& ~ p2(sK51)
& ~ p1(sK51)
& r1(sK51,sK52)
& ! [X29] :
( ~ r1(sK51,X29)
| ! [X30] :
( ~ r1(X29,X30)
| p2(X30)
| p1(X30)
| ! [X31] : ~ r1(X30,X31) )
| ( ~ p2(X29)
& ~ p1(X29)
& r1(X29,sK53(X29)) ) ) ) )
& ( p1(sK36)
| ! [X33] : ~ r1(sK36,X33)
| ( r1(sK36,sK54)
& ~ p1(sK54)
& r1(sK54,sK55)
& ! [X36] :
( ~ r1(sK54,X36)
| ! [X37] :
( ~ r1(X36,X37)
| p1(X37)
| ! [X38] : ~ r1(X37,X38) )
| ( ~ p1(X36)
& r1(X36,sK56(X36)) ) ) ) )
& ! [X40] :
( ~ r1(sK36,X40)
| p2(X40)
| ( r1(X40,sK57(X40))
& ~ p2(sK57(X40))
& ! [X42] :
( ~ r1(sK57(X40),X42)
| ! [X43] :
( ~ r1(X42,X43)
| p2(X43) )
| ~ p2(X42) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57]),skolemize(X0,sK36),skolemize(X1,sK37),skolemize(X2,sK38),skolemize(X4,sK39),skolemize(X6,sK40(X5)),skolemize(X7,sK41(X5)),skolemize(X9,sK42(X8)),skolemize(X10,sK43),skolemize(X12,sK44(X11)),skolemize(X13,sK45(X11)),skolemize(X14,sK46),skolemize(X21,sK47),skolemize(X22,sK48),skolemize(X24,sK49),skolemize(X25,sK50),skolemize(X27,sK51),skolemize(X28,sK52),skolemize(X32,sK53(X29)),skolemize(X34,sK54),skolemize(X35,sK55),skolemize(X39,sK56(X36)),skolemize(X41,sK57(X40))],[f53]) ).
fof(f55,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| p2(sK11(X2))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
! [X2,X0] :
( ~ p2(sK12(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f57,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| r1(sK11(X2),sK12(X2))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f58,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| r1(X2,sK11(X2))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f59,plain,
! [X0] :
( ~ p2(sK10(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f60,plain,
! [X0] :
( r1(X0,sK10(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f61,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| p2(sK14(X2))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f62,plain,
! [X2,X0] :
( ~ p2(sK15(X2))
| p2(X2)
| ~ r1(X0,X2)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f63,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| r1(sK14(X2),sK15(X2))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f64,plain,
! [X2,X0] :
( ~ r1(X0,X2)
| p2(X2)
| r1(X2,sK14(X2))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f65,plain,
! [X0] :
( ~ p2(sK13(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f66,plain,
! [X0] :
( r1(X0,sK13(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f114,plain,
! [X40,X42,X43] :
( ~ r1(sK57(X40),X42)
| p2(X40)
| ~ r1(sK36,X40)
| ~ r1(X42,X43)
| p2(X43)
| ~ p2(X42) ),
inference(cnf_transformation,[],[f54]) ).
fof(f115,plain,
! [X40] :
( ~ p2(sK57(X40))
| p2(X40)
| ~ r1(sK36,X40) ),
inference(cnf_transformation,[],[f54]) ).
fof(f116,plain,
! [X40] :
( r1(X40,sK57(X40))
| p2(X40)
| ~ r1(sK36,X40) ),
inference(cnf_transformation,[],[f54]) ).
fof(f153,plain,
! [X8] :
( ~ r1(sK36,X8)
| p5(sK42(X8))
| sP8(sK36) ),
inference(cnf_transformation,[],[f54]) ).
fof(f154,plain,
! [X8] :
( ~ r1(sK36,X8)
| r1(X8,sK42(X8))
| sP8(sK36) ),
inference(cnf_transformation,[],[f54]) ).
fof(f161,plain,
! [X3] :
( ~ r1(sK38,X3)
| ~ p5(X3)
| sP9(sK36) ),
inference(cnf_transformation,[],[f54]) ).
fof(f162,plain,
( r1(sK37,sK38)
| sP9(sK36) ),
inference(cnf_transformation,[],[f54]) ).
fof(f164,plain,
( r1(sK36,sK37)
| sP9(sK36) ),
inference(cnf_transformation,[],[f54]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f337,definition,
( spl58_38
<=> sP8(sK36) ),
introduced(definition,[new_symbols(definition,[spl58_38])],[avatar_definition]) ).
fof(f339,plain,
( sP8(sK36)
| ~ spl58_38 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,definition,
( spl58_39
<=> ! [X8] :
( ~ r1(sK36,X8)
| p5(sK42(X8)) ) ),
introduced(definition,[new_symbols(definition,[spl58_39])],[avatar_definition]) ).
fof(f342,plain,
( ! [X8] :
( ~ r1(sK36,X8)
| p5(sK42(X8)) )
| ~ spl58_39 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f343,plain,
( spl58_38
| spl58_39 ),
inference(avatar_split_clause,[],[f153,f341,f337]) ).
fof(f345,definition,
( spl58_40
<=> ! [X8] :
( ~ r1(sK36,X8)
| r1(X8,sK42(X8)) ) ),
introduced(definition,[new_symbols(definition,[spl58_40])],[avatar_definition]) ).
fof(f346,plain,
( ! [X8] :
( r1(X8,sK42(X8))
| ~ r1(sK36,X8) )
| ~ spl58_40 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f347,plain,
( spl58_38
| spl58_40 ),
inference(avatar_split_clause,[],[f154,f345,f337]) ).
fof(f349,definition,
( spl58_41
<=> sP9(sK36) ),
introduced(definition,[new_symbols(definition,[spl58_41])],[avatar_definition]) ).
fof(f351,plain,
( sP9(sK36)
| ~ spl58_41 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f353,definition,
( spl58_42
<=> ! [X3] :
( ~ r1(sK38,X3)
| ~ p5(X3) ) ),
introduced(definition,[new_symbols(definition,[spl58_42])],[avatar_definition]) ).
fof(f354,plain,
( ! [X3] :
( ~ r1(sK38,X3)
| ~ p5(X3) )
| ~ spl58_42 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f355,plain,
( spl58_41
| spl58_42 ),
inference(avatar_split_clause,[],[f161,f353,f349]) ).
fof(f357,definition,
( spl58_43
<=> r1(sK37,sK38) ),
introduced(definition,[new_symbols(definition,[spl58_43])],[avatar_definition]) ).
fof(f359,plain,
( r1(sK37,sK38)
| ~ spl58_43 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f360,plain,
( spl58_41
| spl58_43 ),
inference(avatar_split_clause,[],[f162,f357,f349]) ).
fof(f367,definition,
( spl58_45
<=> r1(sK36,sK37) ),
introduced(definition,[new_symbols(definition,[spl58_45])],[avatar_definition]) ).
fof(f369,plain,
( r1(sK36,sK37)
| ~ spl58_45 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f370,plain,
( spl58_41
| spl58_45 ),
inference(avatar_split_clause,[],[f164,f367,f349]) ).
fof(f381,plain,
( ~ p2(sK10(sK36))
| ~ spl58_41 ),
inference(unit_resulting_resolution,[],[f59,f351]) ).
fof(f382,plain,
( ~ p2(sK13(sK36))
| ~ spl58_38 ),
inference(unit_resulting_resolution,[],[f65,f339]) ).
fof(f383,plain,
( r1(sK36,sK10(sK36))
| ~ spl58_41 ),
inference(unit_resulting_resolution,[],[f60,f351]) ).
fof(f384,plain,
( ~ p2(sK57(sK10(sK36)))
| ~ spl58_41 ),
inference(unit_resulting_resolution,[],[f115,f381,f383]) ).
fof(f385,plain,
( r1(sK10(sK36),sK57(sK10(sK36)))
| ~ spl58_41 ),
inference(unit_resulting_resolution,[],[f116,f381,f383]) ).
fof(f386,plain,
( r1(sK36,sK13(sK36))
| ~ spl58_38 ),
inference(unit_resulting_resolution,[],[f66,f339]) ).
fof(f387,plain,
( ~ p2(sK57(sK13(sK36)))
| ~ spl58_38 ),
inference(unit_resulting_resolution,[],[f115,f382,f386]) ).
fof(f388,plain,
( r1(sK13(sK36),sK57(sK13(sK36)))
| ~ spl58_38 ),
inference(unit_resulting_resolution,[],[f116,f382,f386]) ).
fof(f403,plain,
( r1(sK36,sK57(sK10(sK36)))
| ~ spl58_41 ),
inference(unit_resulting_resolution,[],[f165,f383,f385]) ).
fof(f405,plain,
( r1(sK36,sK57(sK13(sK36)))
| ~ spl58_38 ),
inference(unit_resulting_resolution,[],[f165,f386,f388]) ).
fof(f458,plain,
( p2(sK11(sK57(sK10(sK36))))
| ~ spl58_41 ),
inference(unit_resulting_resolution,[],[f55,f351,f384,f403]) ).
fof(f459,plain,
( ~ p2(sK12(sK57(sK10(sK36))))
| ~ spl58_41 ),
inference(unit_resulting_resolution,[],[f56,f351,f384,f403]) ).
fof(f460,plain,
( r1(sK11(sK57(sK10(sK36))),sK12(sK57(sK10(sK36))))
| ~ spl58_41 ),
inference(unit_resulting_resolution,[],[f57,f351,f384,f403]) ).
fof(f461,plain,
( r1(sK57(sK10(sK36)),sK11(sK57(sK10(sK36))))
| ~ spl58_41 ),
inference(unit_resulting_resolution,[],[f58,f351,f384,f403]) ).
fof(f476,plain,
( p2(sK14(sK57(sK13(sK36))))
| ~ spl58_38 ),
inference(unit_resulting_resolution,[],[f61,f339,f387,f405]) ).
fof(f477,plain,
( ~ p2(sK15(sK57(sK13(sK36))))
| ~ spl58_38 ),
inference(unit_resulting_resolution,[],[f62,f339,f387,f405]) ).
fof(f478,plain,
( r1(sK14(sK57(sK13(sK36))),sK15(sK57(sK13(sK36))))
| ~ spl58_38 ),
inference(unit_resulting_resolution,[],[f63,f339,f387,f405]) ).
fof(f479,plain,
( r1(sK57(sK13(sK36)),sK14(sK57(sK13(sK36))))
| ~ spl58_38 ),
inference(unit_resulting_resolution,[],[f64,f339,f387,f405]) ).
fof(f713,plain,
( ~ r1(sK11(sK57(sK10(sK36))),sK12(sK57(sK10(sK36))))
| ~ spl58_41 ),
inference(unit_resulting_resolution,[],[f114,f459,f381,f383,f458,f461]) ).
fof(f743,plain,
( $false
| ~ spl58_41 ),
inference(forward_subsumption_resolution,[],[f713,f460]) ).
fof(f744,plain,
~ spl58_41,
inference(avatar_contradiction_clause,[],[f743]) ).
fof(f751,plain,
( r1(sK36,sK38)
| ~ spl58_43
| ~ spl58_45 ),
inference(unit_resulting_resolution,[],[f165,f359,f369]) ).
fof(f807,plain,
( ~ r1(sK14(sK57(sK13(sK36))),sK15(sK57(sK13(sK36))))
| ~ spl58_38 ),
inference(unit_resulting_resolution,[],[f114,f477,f382,f386,f476,f479]) ).
fof(f819,plain,
( $false
| ~ spl58_38 ),
inference(forward_subsumption_resolution,[],[f807,f478]) ).
fof(f820,plain,
~ spl58_38,
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f822,plain,
( p5(sK42(sK38))
| ~ spl58_39
| ~ spl58_43
| ~ spl58_45 ),
inference(unit_resulting_resolution,[],[f342,f751]) ).
fof(f837,plain,
( r1(sK38,sK42(sK38))
| ~ spl58_40
| ~ spl58_43
| ~ spl58_45 ),
inference(unit_resulting_resolution,[],[f346,f751]) ).
fof(f856,plain,
( ~ r1(sK38,sK42(sK38))
| ~ spl58_39
| ~ spl58_42
| ~ spl58_43
| ~ spl58_45 ),
inference(unit_resulting_resolution,[],[f354,f822]) ).
fof(f857,plain,
( $false
| ~ spl58_39
| ~ spl58_40
| ~ spl58_42
| ~ spl58_43
| ~ spl58_45 ),
inference(forward_subsumption_resolution,[],[f856,f837]) ).
fof(f858,plain,
( ~ spl58_39
| ~ spl58_40
| ~ spl58_42
| ~ spl58_43
| ~ spl58_45 ),
inference(avatar_contradiction_clause,[],[f857]) ).
cnf(s31,plain,
( spl58_38
| spl58_39 ),
inference(sat_conversion,[],[f343]) ).
cnf(s32,plain,
( spl58_38
| spl58_40 ),
inference(sat_conversion,[],[f347]) ).
cnf(s33,plain,
( spl58_41
| spl58_42 ),
inference(sat_conversion,[],[f355]) ).
cnf(s34,plain,
( spl58_41
| spl58_43 ),
inference(sat_conversion,[],[f360]) ).
cnf(s36,plain,
( spl58_41
| spl58_45 ),
inference(sat_conversion,[],[f370]) ).
cnf(s38,plain,
~ spl58_41,
inference(sat_conversion,[],[f744]) ).
cnf(s39,plain,
~ spl58_38,
inference(sat_conversion,[],[f820]) ).
cnf(s40,plain,
( ~ spl58_39
| ~ spl58_40
| ~ spl58_42
| ~ spl58_43
| ~ spl58_45 ),
inference(sat_conversion,[],[f858]) ).
cnf(s41,plain,
spl58_45,
inference(rat,[],[s36,s38]) ).
cnf(s43,plain,
spl58_43,
inference(rat,[],[s34,s38]) ).
cnf(s44,plain,
spl58_42,
inference(rat,[],[s33,s38]) ).
cnf(s45,plain,
spl58_40,
inference(rat,[],[s32,s39]) ).
cnf(s46,plain,
~ spl58_39,
inference(rat,[],[s40,s41,s43,s44,s45]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s31,s46,s39]) ).
fof(f859,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 16:34:09 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.33/1.58 % (1433674)Detected formulas, will run a generic FOF schedule.
% 4.33/1.58 % (1433685)dis-21_1_sil=8000:lcm=predicate:random_seed=748350584: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)
% 4.33/1.58 % (1433685)Instruction limit reached!
% 4.33/1.58 % (1433685)------------------------------
% 4.33/1.58 % (1433685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.58 % (1433685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.58 % (1433685)CaDiCaL version: 2.1.3
% 4.33/1.58 % (1433685)Termination reason: Instruction limit
% 4.33/1.58 % (1433685)Termination phase: Saturation
% 4.33/1.58 % (1433685)Time elapsed: 0.029 s
% 4.33/1.58 % (1433685)Peak memory usage: 88 MB
% 4.33/1.58 % (1433685)Instructions burned: 133 (million)
% 4.33/1.58 % (1433680)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=2832332274:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.33/1.58 % (1433681)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=2526806275:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.33/1.58 % (1433683)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4181684633:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.33/1.58 % (1433679)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=2264265324:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.33/1.58 % (1433682)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1092141409:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.33/1.58 % (1433684)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1759871147:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.33/1.58 % (1433682)Instruction limit reached!
% 4.33/1.58 % (1433682)------------------------------
% 4.33/1.58 % (1433682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.58 % (1433682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.58 % (1433682)CaDiCaL version: 2.1.3
% 4.33/1.58 % (1433682)Termination reason: Instruction limit
% 4.33/1.58 % (1433682)Termination phase: Saturation
% 4.33/1.58 % (1433682)Time elapsed: 0.059 s
% 4.33/1.58 % (1433682)Peak memory usage: 90 MB
% 4.33/1.58 % (1433682)Instructions burned: 110 (million)
% 4.33/1.58 % (1433683)Instruction limit reached!
% 4.33/1.58 % (1433683)------------------------------
% 4.33/1.58 % (1433683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.58 % (1433683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.58 % (1433683)CaDiCaL version: 2.1.3
% 4.33/1.58 % (1433683)Termination reason: Instruction limit
% 4.33/1.58 % (1433683)Termination phase: Saturation
% 4.33/1.58 % (1433683)Time elapsed: 0.062 s
% 4.33/1.58 % (1433683)Peak memory usage: 88 MB
% 4.33/1.58 % (1433683)Instructions burned: 119 (million)
% 4.33/1.58 % (1433684)Instruction limit reached!
% 4.33/1.58 % (1433684)------------------------------
% 4.33/1.58 % (1433684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.58 % (1433684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.58 % (1433684)CaDiCaL version: 2.1.3
% 4.33/1.58 % (1433684)Termination reason: Instruction limit
% 4.33/1.58 % (1433684)Termination phase: Saturation
% 4.33/1.58 % (1433684)Time elapsed: 0.066 s
% 4.33/1.58 % (1433684)Peak memory usage: 89 MB
% 4.33/1.58 % (1433684)Instructions burned: 139 (million)
% 4.33/1.58 % (1433687)lrs+10_1_sil=8000:sp=occurrence:random_seed=690561750:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.33/1.58 % (1433687)Instruction limit reached!
% 4.33/1.58 % (1433687)------------------------------
% 4.33/1.58 % (1433687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.58 % (1433687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.58 % (1433687)CaDiCaL version: 2.1.3
% 4.33/1.58 % (1433687)Termination reason: Instruction limit
% 4.33/1.58 % (1433687)Termination phase: Saturation
% 4.33/1.58 % (1433687)Time elapsed: 0.082 s
% 4.33/1.58 % (1433687)Peak memory usage: 92 MB
% 4.33/1.58 % (1433687)Instructions burned: 287 (million)
% 4.33/1.58 % (1433696)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=3850488255:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.33/1.58 % (1433694)lrs+10_1_sil=32000:urr=on:br=off:random_seed=122551618:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.33/1.58 % (1433695)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3620659401:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.33/1.58 % (1433694)First to succeed.
% 4.33/1.58 % (1433694)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1433674"
% 4.33/1.58 % (1433698)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1923703927:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.33/1.58 % (1433696)Instruction limit reached!
% 4.33/1.58 % (1433696)------------------------------
% 4.33/1.58 % (1433696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.58 % (1433696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.58 % (1433696)CaDiCaL version: 2.1.3
% 4.33/1.58 % (1433696)Termination reason: Instruction limit
% 4.33/1.58 % (1433696)Termination phase: Saturation
% 4.33/1.58 % (1433696)Time elapsed: 0.127 s
% 4.33/1.58 % (1433696)Peak memory usage: 89 MB
% 4.33/1.58 % (1433696)Instructions burned: 249 (million)
% 4.33/1.58 % (1433698)Instruction limit reached!
% 4.33/1.58 % (1433698)------------------------------
% 4.33/1.58 % (1433698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.58 % (1433698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.58 % (1433698)CaDiCaL version: 2.1.3
% 4.33/1.58 % (1433698)Termination reason: Instruction limit
% 4.33/1.58 % (1433698)Termination phase: Saturation
% 4.33/1.58 % (1433698)Time elapsed: 0.084 s
% 4.33/1.58 % (1433698)Peak memory usage: 90 MB
% 4.33/1.58 % (1433698)Instructions burned: 295 (million)
% 4.33/1.58 % (1433695)Instruction limit reached!
% 4.33/1.58 % (1433695)------------------------------
% 4.33/1.58 % (1433695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.58 % (1433695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.58 % (1433695)CaDiCaL version: 2.1.3
% 4.33/1.58 % (1433695)Termination reason: Instruction limit
% 4.33/1.58 % (1433695)Termination phase: Saturation
% 4.33/1.58 % (1433695)Time elapsed: 0.191 s
% 4.33/1.58 % (1433695)Peak memory usage: 91 MB
% 4.33/1.58 % (1433695)Instructions burned: 325 (million)
% 4.33/1.58 % (1433703)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4185401591:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.33/1.58 % (1433704)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2022134731:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.33/1.58 % (1433704)Instruction limit reached!
% 4.33/1.58 % (1433704)------------------------------
% 4.33/1.58 % (1433704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.33/1.58 % (1433704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.33/1.58 % (1433704)CaDiCaL version: 2.1.3
% 4.33/1.58 % (1433704)Termination reason: Instruction limit
% 4.33/1.58 % (1433704)Termination phase: Saturation
% 4.33/1.58 % (1433704)Time elapsed: 0.036 s
% 4.33/1.58 % (1433704)Peak memory usage: 92 MB
% 4.33/1.58 % (1433704)Instructions burned: 113 (million)
% 4.33/1.58 % (1433694)Refutation found. Thanks to Tanya!
% 4.33/1.58 % SZS status Theorem for theBenchmark
% 4.33/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.67/1.78 % (1433694)------------------------------
% 5.67/1.78 % (1433694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.67/1.78 % (1433694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.78 % (1433694)CaDiCaL version: 2.1.3
% 5.67/1.78 % (1433694)Termination reason: Refutation
% 5.67/1.78 % (1433694)Time elapsed: 0.080 s
% 5.67/1.78 % (1433694)Peak memory usage: 90 MB
% 5.67/1.78 % (1433694)Instructions burned: 164 (million)
% 5.67/1.78 % (1433694)------------------------------
% 5.67/1.78 % (1433694)------------------------------
% 5.67/1.78 % (1433674)Success in time 0.724 s
% 5.67/1.78 % Vampire exiting
%------------------------------------------------------------------------------