TSTP Solution File: LCL660+1.005 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LCL660+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:38:38 EDT 2024
% Result : Theorem 17.90s 3.14s
% Output : CNFRefutation 17.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 53
% Syntax : Number of formulae : 329 ( 5 unt; 0 def)
% Number of atoms : 3556 ( 0 equ)
% Maximal formula atoms : 204 ( 10 avg)
% Number of connectives : 5363 (2136 ~;2368 |; 817 &)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 7 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 13 con; 0-1 aty)
% Number of variables : 1430 ( 0 sgn 907 !; 324 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] :
( $false
| ~ r1(X6,X7) )
| p1(X6) )
| ! [X8] :
( ! [X9] :
( $false
| ~ r1(X8,X9) )
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] :
( $false
| ~ r1(X5,X10) )
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] :
( $false
| ~ r1(X0,X11) )
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] :
( $false
| ~ r1(X13,X14) )
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] :
( $false
| ~ r1(X15,X16) )
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] :
( $false
| ~ r1(X12,X17) )
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] :
( $false
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] :
( $false
| ~ r1(X20,X21) )
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] :
( $false
| ~ r1(X19,X24) )
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] :
( $false
| ~ r1(X0,X25) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] :
( $false
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] :
( $false
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] :
( $false
| ~ r1(X26,X31) )
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] :
( $false
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ( ( ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) ) )
& ~ ! [X80] :
( ~ ! [X81] :
( ~ p5(X81)
| ~ r1(X80,X81) )
| ~ r1(X0,X80) ) )
| ~ ! [X82] :
( ~ ! [X83] :
( ~ p3(X83)
| ! [X84] :
( p3(X84)
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
| ! [X85] :
( p3(X85)
| ~ r1(X0,X85) )
| ( ( ~ ! [X86] :
( ~ ! [X87] :
( ~ p2(X87)
| ! [X88] :
( p2(X88)
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
| ! [X89] :
( p2(X89)
| ~ r1(X0,X89) ) )
& ~ ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(rectify,[],[f3]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ( ( ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) ) )
& ~ ! [X80] :
( ~ ! [X81] :
( ~ p5(X81)
| ~ r1(X80,X81) )
| ~ r1(X0,X80) ) )
| ~ ! [X82] :
( ~ ! [X83] :
( ~ p3(X83)
| ! [X84] :
( p3(X84)
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
| ! [X85] :
( p3(X85)
| ~ r1(X0,X85) )
| ( ( ~ ! [X86] :
( ~ ! [X87] :
( ~ p2(X87)
| ! [X88] :
( p2(X88)
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
| ! [X89] :
( p2(X89)
| ~ r1(X0,X89) ) )
& ~ ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ( ( ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) ) )
& ~ ! [X80] :
( ~ ! [X81] :
( ~ p5(X81)
| ~ r1(X80,X81) )
| ~ r1(X0,X80) ) )
| ~ ! [X82] :
( ~ ! [X83] :
( ~ p3(X83)
| ! [X84] :
( p3(X84)
| ~ r1(X83,X84) )
| ~ r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
| ! [X85] :
( p3(X85)
| ~ r1(X0,X85) )
| ( ( ~ ! [X86] :
( ~ ! [X87] :
( ~ p2(X87)
| ! [X88] :
( p2(X88)
| ~ r1(X87,X88) )
| ~ r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
| ! [X89] :
( p2(X89)
| ~ r1(X0,X89) ) )
& ~ ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(flattening,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) ) )
& r1(X0,X33) )
| ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ( ( ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) ) )
| ! [X80] :
( ? [X81] :
( p5(X81)
& r1(X80,X81) )
| ~ r1(X0,X80) ) )
& ! [X82] :
( ? [X83] :
( p3(X83)
& ? [X84] :
( ~ p3(X84)
& r1(X83,X84) )
& r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
& ? [X85] :
( ~ p3(X85)
& r1(X0,X85) )
& ( ( ! [X86] :
( ? [X87] :
( p2(X87)
& ? [X88] :
( ~ p2(X88)
& r1(X87,X88) )
& r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
& ? [X89] :
( ~ p2(X89)
& r1(X0,X89) ) )
| ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) ) )
& r1(X0,X33) )
| ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ( ( ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) ) )
| ! [X80] :
( ? [X81] :
( p5(X81)
& r1(X80,X81) )
| ~ r1(X0,X80) ) )
& ! [X82] :
( ? [X83] :
( p3(X83)
& ? [X84] :
( ~ p3(X84)
& r1(X83,X84) )
& r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
& ? [X85] :
( ~ p3(X85)
& r1(X0,X85) )
& ( ( ! [X86] :
( ? [X87] :
( p2(X87)
& ? [X88] :
( ~ p2(X88)
& r1(X87,X88) )
& r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
& ? [X89] :
( ~ p2(X89)
& r1(X0,X89) ) )
| ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X0] :
( ( ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X0] :
( ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X33] :
( ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) )
| ~ sP2(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X44] :
( ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) )
| ~ sP3(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X34] :
( ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ~ sP4(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X34] :
( ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| sP3(X44) ) )
| ~ r1(X34,X44) )
| ~ sP5(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X0] :
( ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| sP1(X0) ) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ~ sP7(X26) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ~ sP8(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP8(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( sP7(X26)
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| sP4(X34)
| sP5(X34)
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| sP2(X33) )
& r1(X0,X33) )
| sP6(X0) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ( sP0(X0)
| ! [X80] :
( ? [X81] :
( p5(X81)
& r1(X80,X81) )
| ~ r1(X0,X80) ) )
& ! [X82] :
( ? [X83] :
( p3(X83)
& ? [X84] :
( ~ p3(X84)
& r1(X83,X84) )
& r1(X82,X83) )
| p3(X82)
| ~ r1(X0,X82) )
& ? [X85] :
( ~ p3(X85)
& r1(X0,X85) )
& ( ( ! [X86] :
( ? [X87] :
( p2(X87)
& ? [X88] :
( ~ p2(X88)
& r1(X87,X88) )
& r1(X86,X87) )
| p2(X86)
| ~ r1(X0,X86) )
& ? [X89] :
( ~ p2(X89)
& r1(X0,X89) ) )
| ! [X90] :
( ~ p5(X90)
| ~ r1(X0,X90) ) ) ),
inference(definition_folding,[],[f8,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f27,plain,
! [X0] :
( ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| sP1(X0) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f28,plain,
! [X0] :
( ( ( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0) )
& ( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) )
| sP1(X0) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK11(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK11(X0),X2) )
& r1(X0,sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK11(X0),X2) )
=> ( ~ p2(sK12(X0))
& r1(sK11(X0),sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) )
=> ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK13(X0),X4) )
& ~ p2(sK13(X0))
& r1(X0,sK13(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ( ( ( p2(sK11(X0))
& ~ p2(sK12(X0))
& r1(sK11(X0),sK12(X0))
& r1(X0,sK11(X0)) )
| p2(X0) )
& ( ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK13(X0),X4) )
& ~ p2(sK13(X0))
& r1(X0,sK13(X0)) )
| sP1(X0) ) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f28,f31,f30,f29]) ).
fof(f33,plain,
! [X34] :
( ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| sP3(X44) ) )
| ~ r1(X34,X44) )
| ~ sP5(X34) ),
inference(nnf_transformation,[],[f14]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1) )
& ( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
| sP3(X1) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK14(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK14(X1),X3) )
& r1(X1,sK14(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK14(X1),X3) )
=> ( ~ p2(sK15(X1))
& r1(sK14(X1),sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X1] :
( ? [X4] :
( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(X4,X5) )
& ~ p2(X4)
& r1(X1,X4) )
=> ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK16(X1),X5) )
& ~ p2(sK16(X1))
& r1(X1,sK16(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ( ( ( p2(sK14(X1))
& ~ p2(sK15(X1))
& r1(sK14(X1),sK15(X1))
& r1(X1,sK14(X1)) )
| p2(X1) )
& ( ( ! [X5] :
( ~ p2(X5)
| ! [X6] :
( p2(X6)
| ~ r1(X5,X6) )
| ~ r1(sK16(X1),X5) )
& ~ p2(sK16(X1))
& r1(X1,sK16(X1)) )
| sP3(X1) ) )
| ~ r1(X0,X1) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f34,f37,f36,f35]) ).
fof(f39,plain,
! [X34] :
( ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ~ sP4(X34) ),
inference(nnf_transformation,[],[f13]) ).
fof(f40,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK17(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK17(X1),X3) )
& r1(X1,sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK17(X1),X3) )
=> ( ~ p2(sK18(X1))
& r1(sK17(X1),sK18(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK19(X0),X5) )
& r1(X0,sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK19(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK20(X0),X6) )
& ~ p2(sK20(X0))
& r1(sK19(X0),sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK17(X1))
& ~ p2(sK18(X1))
& r1(sK17(X1),sK18(X1))
& r1(X1,sK17(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK20(X0),X6) )
& ~ p2(sK20(X0))
& r1(sK19(X0),sK20(X0))
& r1(X0,sK19(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20])],[f40,f44,f43,f42,f41]) ).
fof(f51,plain,
! [X33] :
( ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) )
| ~ sP2(X33) ),
inference(nnf_transformation,[],[f11]) ).
fof(f52,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f51]) ).
fof(f53,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK23(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK23(X1),X3) )
& r1(X1,sK23(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK23(X1),X3) )
=> ( ~ p2(sK24(X1))
& r1(sK23(X1),sK24(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(X4,X5) )
& r1(X0,X4) )
=> ( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK25(X0),X5) )
& r1(X0,sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X5] :
( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
& ~ p2(X5)
& r1(sK25(X0),X5) )
=> ( ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK26(X0),X6) )
& ~ p2(sK26(X0))
& r1(sK25(X0),sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK23(X1))
& ~ p2(sK24(X1))
& r1(sK23(X1),sK24(X1))
& r1(X1,sK23(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ! [X6] :
( ~ p2(X6)
| ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(sK26(X0),X6) )
& ~ p2(sK26(X0))
& r1(sK25(X0),sK26(X0))
& r1(X0,sK25(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26])],[f52,f56,f55,f54,f53]) ).
fof(f58,plain,
! [X0] :
( ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f10]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK27(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK27(X2),X4) )
& r1(X2,sK27(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK27(X2),X4) )
=> ( ~ p2(sK28(X2))
& r1(sK27(X2),sK28(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK27(X2))
& ~ p2(sK28(X2))
& r1(sK27(X2),sK28(X2))
& r1(X2,sK27(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f59,f61,f60]) ).
fof(f63,plain,
! [X0] :
( ( ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f64,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ? [X4] :
( ~ p2(X4)
& r1(X0,X4) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK29(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK29(X1),X3) )
& r1(X1,sK29(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK29(X1),X3) )
=> ( ~ p2(sK30(X1))
& r1(sK29(X1),sK30(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ? [X4] :
( ~ p2(X4)
& r1(X0,X4) )
=> ( ~ p2(sK31(X0))
& r1(X0,sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK29(X1))
& ~ p2(sK30(X1))
& r1(sK29(X1),sK30(X1))
& r1(X1,sK29(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ~ p2(sK31(X0))
& r1(X0,sK31(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31])],[f64,f67,f66,f65]) ).
fof(f69,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP8(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X21] : ~ r1(X0,X21)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X22] :
( sP7(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(X0,X22) )
| ! [X24] : ~ r1(X0,X24)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP4(X26)
| sP5(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP2(X25) )
& r1(X0,X25) )
| sP6(X0) )
& ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(X0,X31) )
& ? [X34] :
( ~ p1(X34)
& r1(X0,X34) )
& ( sP0(X0)
| ! [X35] :
( ? [X36] :
( p5(X36)
& r1(X35,X36) )
| ~ r1(X0,X35) ) )
& ! [X37] :
( ? [X38] :
( p3(X38)
& ? [X39] :
( ~ p3(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p3(X37)
| ~ r1(X0,X37) )
& ? [X40] :
( ~ p3(X40)
& r1(X0,X40) )
& ( ( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X0,X41) )
& ? [X44] :
( ~ p2(X44)
& r1(X0,X44) ) )
| ! [X45] :
( ~ p5(X45)
| ~ r1(X0,X45) ) ) ),
inference(rectify,[],[f18]) ).
fof(f70,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( sP8(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X21] : ~ r1(X0,X21)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X22] :
( sP7(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(X0,X22) )
| ! [X24] : ~ r1(X0,X24)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP4(X26)
| sP5(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP2(X25) )
& r1(X0,X25) )
| sP6(X0) )
& ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(X0,X31) )
& ? [X34] :
( ~ p1(X34)
& r1(X0,X34) )
& ( sP0(X0)
| ! [X35] :
( ? [X36] :
( p5(X36)
& r1(X35,X36) )
| ~ r1(X0,X35) ) )
& ! [X37] :
( ? [X38] :
( p3(X38)
& ? [X39] :
( ~ p3(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p3(X37)
| ~ r1(X0,X37) )
& ? [X40] :
( ~ p3(X40)
& r1(X0,X40) )
& ( ( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X0,X41) )
& ? [X44] :
( ~ p2(X44)
& r1(X0,X44) ) )
| ! [X45] :
( ~ p5(X45)
| ~ r1(X0,X45) ) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK32,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(sK32,X5) )
| ! [X11] : ~ r1(sK32,X11)
| p1(sK32) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(sK32,X12) )
| ! [X18] : ~ r1(sK32,X18)
| p1(sK32)
| p2(sK32) )
& ( ? [X19] :
( sP8(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(sK32,X19) )
| ! [X21] : ~ r1(sK32,X21)
| p1(sK32)
| p2(sK32)
| p3(sK32) )
& ( ? [X22] :
( sP7(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(sK32,X22) )
| ! [X24] : ~ r1(sK32,X24)
| p1(sK32)
| p2(sK32)
| p3(sK32)
| p4(sK32) )
& ( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP4(X26)
| sP5(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP2(X25) )
& r1(sK32,X25) )
| sP6(sK32) )
& ! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p1(X31)
| ~ r1(sK32,X31) )
& ? [X34] :
( ~ p1(X34)
& r1(sK32,X34) )
& ( sP0(sK32)
| ! [X35] :
( ? [X36] :
( p5(X36)
& r1(X35,X36) )
| ~ r1(sK32,X35) ) )
& ! [X37] :
( ? [X38] :
( p3(X38)
& ? [X39] :
( ~ p3(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p3(X37)
| ~ r1(sK32,X37) )
& ? [X40] :
( ~ p3(X40)
& r1(sK32,X40) )
& ( ( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(sK32,X41) )
& ? [X44] :
( ~ p2(X44)
& r1(sK32,X44) ) )
| ! [X45] :
( ~ p5(X45)
| ~ r1(sK32,X45) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK33(X1),X3) )
& ~ p2(sK33(X1))
& r1(X1,sK33(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(sK32,X5) )
=> ( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(sK34,X6) )
& ? [X10] : r1(sK34,X10)
& ~ p1(sK34)
& r1(sK32,sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X6] :
( ? [X7] : r1(X6,X7)
=> r1(X6,sK35(X6)) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X10] : r1(sK34,X10)
=> r1(sK34,sK36) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(sK32,X12) )
=> ( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(sK37,X13) )
& ? [X17] : r1(sK37,X17)
& ~ p1(sK37)
& ~ p2(sK37)
& r1(sK32,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X13] :
( ? [X14] : r1(X13,X14)
=> r1(X13,sK38(X13)) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( ? [X17] : r1(sK37,X17)
=> r1(sK37,sK39) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X19] :
( sP8(X19)
& ? [X20] : r1(X19,X20)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(sK32,X19) )
=> ( sP8(sK40)
& ? [X20] : r1(sK40,X20)
& ~ p1(sK40)
& ~ p2(sK40)
& ~ p3(sK40)
& r1(sK32,sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X20] : r1(sK40,X20)
=> r1(sK40,sK41) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X22] :
( sP7(X22)
& ? [X23] : r1(X22,X23)
& ~ p1(X22)
& ~ p2(X22)
& ~ p3(X22)
& ~ p4(X22)
& r1(sK32,X22) )
=> ( sP7(sK42)
& ? [X23] : r1(sK42,X23)
& ~ p1(sK42)
& ~ p2(sK42)
& ~ p3(sK42)
& ~ p4(sK42)
& r1(sK32,sK42) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X23] : r1(sK42,X23)
=> r1(sK42,sK43) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X25] :
( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP4(X26)
| sP5(X26)
| ~ r1(X25,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X25,X29) )
& ~ p2(X25) )
| sP2(X25) )
& r1(sK32,X25) )
=> ( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP4(X26)
| sP5(X26)
| ~ r1(sK44,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(sK44,X29) )
& ~ p2(sK44) )
| sP2(sK44) )
& r1(sK32,sK44) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X31] :
( ? [X32] :
( p1(X32)
& ? [X33] :
( ~ p1(X33)
& r1(X32,X33) )
& r1(X31,X32) )
=> ( p1(sK45(X31))
& ? [X33] :
( ~ p1(X33)
& r1(sK45(X31),X33) )
& r1(X31,sK45(X31)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X31] :
( ? [X33] :
( ~ p1(X33)
& r1(sK45(X31),X33) )
=> ( ~ p1(sK46(X31))
& r1(sK45(X31),sK46(X31)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X34] :
( ~ p1(X34)
& r1(sK32,X34) )
=> ( ~ p1(sK47)
& r1(sK32,sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X35] :
( ? [X36] :
( p5(X36)
& r1(X35,X36) )
=> ( p5(sK48(X35))
& r1(X35,sK48(X35)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X37] :
( ? [X38] :
( p3(X38)
& ? [X39] :
( ~ p3(X39)
& r1(X38,X39) )
& r1(X37,X38) )
=> ( p3(sK49(X37))
& ? [X39] :
( ~ p3(X39)
& r1(sK49(X37),X39) )
& r1(X37,sK49(X37)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X37] :
( ? [X39] :
( ~ p3(X39)
& r1(sK49(X37),X39) )
=> ( ~ p3(sK50(X37))
& r1(sK49(X37),sK50(X37)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ? [X40] :
( ~ p3(X40)
& r1(sK32,X40) )
=> ( ~ p3(sK51)
& r1(sK32,sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
=> ( p2(sK52(X41))
& ? [X43] :
( ~ p2(X43)
& r1(sK52(X41),X43) )
& r1(X41,sK52(X41)) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X41] :
( ? [X43] :
( ~ p2(X43)
& r1(sK52(X41),X43) )
=> ( ~ p2(sK53(X41))
& r1(sK52(X41),sK53(X41)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ? [X44] :
( ~ p2(X44)
& r1(sK32,X44) )
=> ( ~ p2(sK54)
& r1(sK32,sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK33(X1),X3) )
& ~ p2(sK33(X1))
& r1(X1,sK33(X1)) )
| p2(X1)
| ~ r1(sK32,X1) )
& ( ( ! [X6] :
( ( r1(X6,sK35(X6))
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(sK34,X6) )
& r1(sK34,sK36)
& ~ p1(sK34)
& r1(sK32,sK34) )
| ! [X11] : ~ r1(sK32,X11)
| p1(sK32) )
& ( ( ! [X13] :
( ( r1(X13,sK38(X13))
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(sK37,X13) )
& r1(sK37,sK39)
& ~ p1(sK37)
& ~ p2(sK37)
& r1(sK32,sK37) )
| ! [X18] : ~ r1(sK32,X18)
| p1(sK32)
| p2(sK32) )
& ( ( sP8(sK40)
& r1(sK40,sK41)
& ~ p1(sK40)
& ~ p2(sK40)
& ~ p3(sK40)
& r1(sK32,sK40) )
| ! [X21] : ~ r1(sK32,X21)
| p1(sK32)
| p2(sK32)
| p3(sK32) )
& ( ( sP7(sK42)
& r1(sK42,sK43)
& ~ p1(sK42)
& ~ p2(sK42)
& ~ p3(sK42)
& ~ p4(sK42)
& r1(sK32,sK42) )
| ! [X24] : ~ r1(sK32,X24)
| p1(sK32)
| p2(sK32)
| p3(sK32)
| p4(sK32) )
& ( ( ! [X26] :
( ( ! [X27] :
( ~ p2(X27)
| ! [X28] :
( p2(X28)
| ~ r1(X27,X28) )
| ~ r1(X26,X27) )
& ~ p2(X26) )
| sP4(X26)
| sP5(X26)
| ~ r1(sK44,X26) )
& ( ( ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(sK44,X29) )
& ~ p2(sK44) )
| sP2(sK44) )
& r1(sK32,sK44) )
| sP6(sK32) )
& ! [X31] :
( ( p1(sK45(X31))
& ~ p1(sK46(X31))
& r1(sK45(X31),sK46(X31))
& r1(X31,sK45(X31)) )
| p1(X31)
| ~ r1(sK32,X31) )
& ~ p1(sK47)
& r1(sK32,sK47)
& ( sP0(sK32)
| ! [X35] :
( ( p5(sK48(X35))
& r1(X35,sK48(X35)) )
| ~ r1(sK32,X35) ) )
& ! [X37] :
( ( p3(sK49(X37))
& ~ p3(sK50(X37))
& r1(sK49(X37),sK50(X37))
& r1(X37,sK49(X37)) )
| p3(X37)
| ~ r1(sK32,X37) )
& ~ p3(sK51)
& r1(sK32,sK51)
& ( ( ! [X41] :
( ( p2(sK52(X41))
& ~ p2(sK53(X41))
& r1(sK52(X41),sK53(X41))
& r1(X41,sK52(X41)) )
| p2(X41)
| ~ r1(sK32,X41) )
& ~ p2(sK54)
& r1(sK32,sK54) )
| ! [X45] :
( ~ p5(X45)
| ~ r1(sK32,X45) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54])],[f69,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70]) ).
fof(f94,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f104,plain,
! [X0] :
( r1(X0,sK13(X0))
| sP1(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f105,plain,
! [X0] :
( ~ p2(sK13(X0))
| sP1(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f106,plain,
! [X0,X4,X5] :
( ~ p2(X4)
| p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK13(X0),X4)
| sP1(X0)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f114,plain,
! [X0,X1] :
( r1(X1,sK14(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f115,plain,
! [X0,X1] :
( r1(sK14(X1),sK15(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f116,plain,
! [X0,X1] :
( ~ p2(sK15(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f117,plain,
! [X0,X1] :
( p2(sK14(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f122,plain,
! [X0,X1] :
( r1(X1,sK17(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f123,plain,
! [X0,X1] :
( r1(sK17(X1),sK18(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f124,plain,
! [X0,X1] :
( ~ p2(sK18(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f125,plain,
! [X0,X1] :
( p2(sK17(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f130,plain,
! [X0] :
( r1(X0,sK25(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f131,plain,
! [X0] :
( r1(sK25(X0),sK26(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f132,plain,
! [X0] :
( ~ p2(sK26(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f133,plain,
! [X0,X6,X7] :
( ~ p2(X6)
| p2(X7)
| ~ r1(X6,X7)
| ~ r1(sK26(X0),X6)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f134,plain,
! [X0,X1] :
( r1(X1,sK23(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f135,plain,
! [X0,X1] :
( r1(sK23(X1),sK24(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f136,plain,
! [X0,X1] :
( ~ p2(sK24(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f137,plain,
! [X0,X1] :
( p2(sK23(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f138,plain,
! [X2,X0,X1] :
( r1(X2,sK27(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f139,plain,
! [X2,X0,X1] :
( r1(sK27(X2),sK28(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ p2(sK28(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f141,plain,
! [X2,X0,X1] :
( p2(sK27(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f142,plain,
! [X0] :
( r1(X0,sK31(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f143,plain,
! [X0] :
( ~ p2(sK31(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f144,plain,
! [X0,X1] :
( r1(X1,sK29(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f145,plain,
! [X0,X1] :
( r1(sK29(X1),sK30(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f146,plain,
! [X0,X1] :
( ~ p2(sK30(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f147,plain,
! [X0,X1] :
( p2(sK29(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f148,plain,
! [X45] :
( r1(sK32,sK54)
| ~ p5(X45)
| ~ r1(sK32,X45) ),
inference(cnf_transformation,[],[f93]) ).
fof(f149,plain,
! [X45] :
( ~ p2(sK54)
| ~ p5(X45)
| ~ r1(sK32,X45) ),
inference(cnf_transformation,[],[f93]) ).
fof(f150,plain,
! [X41,X45] :
( r1(X41,sK52(X41))
| p2(X41)
| ~ r1(sK32,X41)
| ~ p5(X45)
| ~ r1(sK32,X45) ),
inference(cnf_transformation,[],[f93]) ).
fof(f151,plain,
! [X41,X45] :
( r1(sK52(X41),sK53(X41))
| p2(X41)
| ~ r1(sK32,X41)
| ~ p5(X45)
| ~ r1(sK32,X45) ),
inference(cnf_transformation,[],[f93]) ).
fof(f152,plain,
! [X41,X45] :
( ~ p2(sK53(X41))
| p2(X41)
| ~ r1(sK32,X41)
| ~ p5(X45)
| ~ r1(sK32,X45) ),
inference(cnf_transformation,[],[f93]) ).
fof(f153,plain,
! [X41,X45] :
( p2(sK52(X41))
| p2(X41)
| ~ r1(sK32,X41)
| ~ p5(X45)
| ~ r1(sK32,X45) ),
inference(cnf_transformation,[],[f93]) ).
fof(f160,plain,
! [X35] :
( sP0(sK32)
| r1(X35,sK48(X35))
| ~ r1(sK32,X35) ),
inference(cnf_transformation,[],[f93]) ).
fof(f161,plain,
! [X35] :
( sP0(sK32)
| p5(sK48(X35))
| ~ r1(sK32,X35) ),
inference(cnf_transformation,[],[f93]) ).
fof(f168,plain,
( r1(sK32,sK44)
| sP6(sK32) ),
inference(cnf_transformation,[],[f93]) ).
fof(f169,plain,
( ~ p2(sK44)
| sP2(sK44)
| sP6(sK32) ),
inference(cnf_transformation,[],[f93]) ).
fof(f170,plain,
! [X29,X30] :
( ~ p2(X29)
| p2(X30)
| ~ r1(X29,X30)
| ~ r1(sK44,X29)
| sP2(sK44)
| sP6(sK32) ),
inference(cnf_transformation,[],[f93]) ).
fof(f171,plain,
! [X26] :
( ~ p2(X26)
| sP4(X26)
| sP5(X26)
| ~ r1(sK44,X26)
| sP6(sK32) ),
inference(cnf_transformation,[],[f93]) ).
fof(f172,plain,
! [X28,X26,X27] :
( ~ p2(X27)
| p2(X28)
| ~ r1(X27,X28)
| ~ r1(X26,X27)
| sP4(X26)
| sP5(X26)
| ~ r1(sK44,X26)
| sP6(sK32) ),
inference(cnf_transformation,[],[f93]) ).
fof(f198,plain,
! [X1] :
( r1(X1,sK33(X1))
| p2(X1)
| ~ r1(sK32,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f199,plain,
! [X1] :
( ~ p2(sK33(X1))
| p2(X1)
| ~ r1(sK32,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f200,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK33(X1),X3)
| p2(X1)
| ~ r1(sK32,X1) ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_49,plain,
r1(X0,X0),
inference(cnf_transformation,[],[f94]) ).
cnf(c_63,plain,
( ~ r1(sK13(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP6(X0)
| p2(X2)
| sP1(X0) ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_64,plain,
( ~ p2(sK13(X0))
| ~ sP6(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_65,plain,
( ~ sP6(X0)
| r1(X0,sK13(X0))
| sP1(X0) ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_66,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| p2(sK14(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_67,plain,
( ~ r1(X0,X1)
| ~ p2(sK15(X1))
| ~ sP5(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_68,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| r1(sK14(X1),sK15(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_69,plain,
( ~ r1(X0,X1)
| ~ sP5(X0)
| r1(X1,sK14(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_73,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| p2(sK17(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_74,plain,
( ~ r1(X0,X1)
| ~ p2(sK18(X1))
| ~ sP4(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_75,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(sK17(X1),sK18(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f123]) ).
cnf(c_76,plain,
( ~ r1(X0,X1)
| ~ sP4(X0)
| r1(X1,sK17(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_85,plain,
( ~ r1(X0,X1)
| ~ sP2(X0)
| p2(sK23(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f137]) ).
cnf(c_86,plain,
( ~ r1(X0,X1)
| ~ p2(sK24(X1))
| ~ sP2(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f136]) ).
cnf(c_87,plain,
( ~ r1(X0,X1)
| ~ sP2(X0)
| r1(sK23(X1),sK24(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_88,plain,
( ~ r1(X0,X1)
| ~ sP2(X0)
| r1(X1,sK23(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_89,plain,
( ~ r1(sK26(X0),X1)
| ~ r1(X1,X2)
| ~ p2(X1)
| ~ sP2(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_90,plain,
( ~ p2(sK26(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f132]) ).
cnf(c_91,plain,
( ~ sP2(X0)
| r1(sK25(X0),sK26(X0)) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_92,plain,
( ~ sP2(X0)
| r1(X0,sK25(X0)) ),
inference(cnf_transformation,[],[f130]) ).
cnf(c_93,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| p2(sK27(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_94,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ p2(sK28(X2))
| ~ sP1(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_95,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| r1(sK27(X2),sK28(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f139]) ).
cnf(c_96,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| r1(X2,sK27(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f138]) ).
cnf(c_97,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| p2(sK29(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f147]) ).
cnf(c_98,plain,
( ~ r1(X0,X1)
| ~ p2(sK30(X1))
| ~ sP0(X0)
| p2(X1) ),
inference(cnf_transformation,[],[f146]) ).
cnf(c_99,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| r1(sK29(X1),sK30(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_100,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| r1(X1,sK29(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_101,plain,
( ~ p2(sK31(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_102,plain,
( ~ sP0(X0)
| r1(X0,sK31(X0)) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_103,negated_conjecture,
( ~ r1(sK33(X0),X1)
| ~ r1(X1,X2)
| ~ r1(sK32,X0)
| ~ p2(X1)
| p2(X0)
| p2(X2) ),
inference(cnf_transformation,[],[f200]) ).
cnf(c_104,negated_conjecture,
( ~ r1(sK32,X0)
| ~ p2(sK33(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_105,negated_conjecture,
( ~ r1(sK32,X0)
| r1(X0,sK33(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_131,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(X2,X0)
| ~ r1(sK44,X2)
| ~ p2(X0)
| p2(X1)
| sP5(X2)
| sP4(X2)
| sP6(sK32) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_132,negated_conjecture,
( ~ r1(sK44,X0)
| ~ p2(X0)
| sP5(X0)
| sP4(X0)
| sP6(sK32) ),
inference(cnf_transformation,[],[f171]) ).
cnf(c_133,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK44,X0)
| ~ p2(X0)
| p2(X1)
| sP6(sK32)
| sP2(sK44) ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_134,negated_conjecture,
( ~ p2(sK44)
| sP6(sK32)
| sP2(sK44) ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_135,negated_conjecture,
( r1(sK32,sK44)
| sP6(sK32) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_142,negated_conjecture,
( ~ r1(sK32,X0)
| p5(sK48(X0))
| sP0(sK32) ),
inference(cnf_transformation,[],[f161]) ).
cnf(c_143,negated_conjecture,
( ~ r1(sK32,X0)
| r1(X0,sK48(X0))
| sP0(sK32) ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_150,negated_conjecture,
( ~ r1(sK32,X0)
| ~ r1(sK32,X1)
| ~ p5(X1)
| p2(sK52(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f153]) ).
cnf(c_151,negated_conjecture,
( ~ r1(sK32,X0)
| ~ r1(sK32,X1)
| ~ p2(sK53(X0))
| ~ p5(X1)
| p2(X0) ),
inference(cnf_transformation,[],[f152]) ).
cnf(c_152,negated_conjecture,
( ~ r1(sK32,X0)
| ~ r1(sK32,X1)
| ~ p5(X1)
| r1(sK52(X0),sK53(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_153,negated_conjecture,
( ~ r1(sK32,X0)
| ~ r1(sK32,X1)
| ~ p5(X1)
| r1(X0,sK52(X0))
| p2(X0) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_154,negated_conjecture,
( ~ r1(sK32,X0)
| ~ p5(X0)
| ~ p2(sK54) ),
inference(cnf_transformation,[],[f149]) ).
cnf(c_155,negated_conjecture,
( ~ r1(sK32,X0)
| ~ p5(X0)
| r1(sK32,sK54) ),
inference(cnf_transformation,[],[f148]) ).
cnf(c_156,plain,
r1(sK32,sK32),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_157,plain,
( ~ sP0(sK32)
| r1(sK32,sK31(sK32)) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_158,plain,
( ~ p2(sK31(sK32))
| ~ sP0(sK32) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_172,plain,
( ~ sP6(sK32)
| r1(sK32,sK13(sK32))
| sP1(sK32) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_173,plain,
( ~ p2(sK13(sK32))
| ~ sP6(sK32)
| sP1(sK32) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_180,plain,
( ~ r1(sK32,sK32)
| r1(sK32,sK48(sK32))
| sP0(sK32) ),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_1202,plain,
( ~ r1(sK32,sK48(X0))
| ~ r1(sK32,X0)
| ~ r1(sK32,X1)
| r1(X1,sK52(X1))
| p2(X1)
| sP0(sK32) ),
inference(resolution,[status(thm)],[c_142,c_153]) ).
cnf(c_1222,plain,
( ~ r1(sK32,sK48(X0))
| ~ r1(sK32,X0)
| ~ r1(sK32,X1)
| r1(sK52(X1),sK53(X1))
| p2(X1)
| sP0(sK32) ),
inference(resolution,[status(thm)],[c_142,c_152]) ).
cnf(c_1242,plain,
( ~ r1(sK32,sK48(X0))
| ~ r1(sK32,X0)
| ~ r1(sK32,X1)
| ~ p2(sK53(X1))
| p2(X1)
| sP0(sK32) ),
inference(resolution,[status(thm)],[c_142,c_151]) ).
cnf(c_1262,plain,
( ~ r1(sK32,sK48(X0))
| ~ r1(sK32,X0)
| ~ r1(sK32,X1)
| p2(sK52(X1))
| p2(X1)
| sP0(sK32) ),
inference(resolution,[status(thm)],[c_142,c_150]) ).
cnf(c_1282,plain,
( ~ r1(sK32,sK48(X0))
| ~ r1(sK32,X0)
| r1(sK32,sK54)
| sP0(sK32) ),
inference(resolution,[status(thm)],[c_142,c_155]) ).
cnf(c_1283,plain,
( ~ r1(sK32,sK48(sK32))
| ~ r1(sK32,sK32)
| r1(sK32,sK54)
| sP0(sK32) ),
inference(instantiation,[status(thm)],[c_1282]) ).
cnf(c_1292,plain,
( ~ r1(sK32,sK48(X0))
| ~ r1(sK32,X0)
| ~ p2(sK54)
| sP0(sK32) ),
inference(resolution,[status(thm)],[c_142,c_154]) ).
cnf(c_1293,plain,
( ~ r1(sK32,sK48(sK32))
| ~ r1(sK32,sK32)
| ~ p2(sK54)
| sP0(sK32) ),
inference(instantiation,[status(thm)],[c_1292]) ).
cnf(c_10015,plain,
( ~ r1(sK32,X0)
| p2(X0)
| p2(sK52(X0))
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_1262]) ).
cnf(c_10016,plain,
( ~ r1(sK32,X0)
| ~ r1(sK32,sK48(X0))
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_1262]) ).
cnf(c_10017,plain,
( sP0(sK32)
| sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1262]) ).
cnf(c_10018,plain,
( ~ r1(sK32,X0)
| p2(X0)
| ~ p2(sK53(X0))
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_1242]) ).
cnf(c_10019,plain,
( sP0(sK32)
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1242]) ).
cnf(c_10020,plain,
( r1(sK52(X0),sK53(X0))
| ~ r1(sK32,X0)
| p2(X0)
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_1222]) ).
cnf(c_10021,plain,
( sP0(sK32)
| sP1_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1222]) ).
cnf(c_10022,plain,
( r1(X0,sK52(X0))
| ~ r1(sK32,X0)
| p2(X0)
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_1202]) ).
cnf(c_10023,plain,
( sP0(sK32)
| sP1_iProver_def
| sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1202]) ).
cnf(c_10024,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK44,X0)
| ~ p2(X0)
| p2(X1)
| ~ sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_def])],[c_133]) ).
cnf(c_10025,negated_conjecture,
( sP6(sK32)
| sP2(sK44)
| sP5_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_133]) ).
cnf(c_10027,plain,
( ~ r1(sK32,sK48(sK32))
| ~ r1(sK32,sK32)
| ~ sP1_iProver_def ),
inference(instantiation,[status(thm)],[c_10016]) ).
cnf(c_10035,plain,
( sP0_iProver_def
| sP0(sK32) ),
inference(global_subsumption_just,[status(thm)],[c_10017,c_156,c_180,c_10017,c_10027]) ).
cnf(c_10036,plain,
( sP0(sK32)
| sP0_iProver_def ),
inference(renaming,[status(thm)],[c_10035]) ).
cnf(c_10037,plain,
( sP0(sK32)
| sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_10019,c_156,c_180,c_10019,c_10027]) ).
cnf(c_10039,plain,
( sP0(sK32)
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_10021,c_156,c_180,c_10021,c_10027]) ).
cnf(c_10041,plain,
( sP0(sK32)
| sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_10023,c_156,c_180,c_10023,c_10027]) ).
cnf(c_10059,plain,
( ~ r1(sK32,sK31(X0))
| ~ p2(sK33(sK31(X0)))
| p2(sK31(X0)) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_10060,plain,
( ~ r1(sK32,sK31(sK32))
| ~ p2(sK33(sK31(sK32)))
| p2(sK31(sK32)) ),
inference(instantiation,[status(thm)],[c_10059]) ).
cnf(c_10071,plain,
( ~ r1(sK32,sK31(X0))
| r1(sK31(X0),sK33(sK31(X0)))
| p2(sK31(X0)) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_10072,plain,
( ~ r1(sK32,sK31(sK32))
| r1(sK31(sK32),sK33(sK31(sK32)))
| p2(sK31(sK32)) ),
inference(instantiation,[status(thm)],[c_10071]) ).
cnf(c_10107,plain,
( ~ r1(sK32,sK13(X0))
| ~ sP0_iProver_def
| p2(sK52(sK13(X0)))
| p2(sK13(X0)) ),
inference(instantiation,[status(thm)],[c_10015]) ).
cnf(c_10108,plain,
( ~ r1(sK32,sK13(sK32))
| ~ sP0_iProver_def
| p2(sK52(sK13(sK32)))
| p2(sK13(sK32)) ),
inference(instantiation,[status(thm)],[c_10107]) ).
cnf(c_10119,plain,
( ~ r1(sK32,sK13(X0))
| ~ p2(sK53(sK13(X0)))
| ~ sP2_iProver_def
| p2(sK13(X0)) ),
inference(instantiation,[status(thm)],[c_10018]) ).
cnf(c_10120,plain,
( ~ r1(sK32,sK13(sK32))
| ~ p2(sK53(sK13(sK32)))
| ~ sP2_iProver_def
| p2(sK13(sK32)) ),
inference(instantiation,[status(thm)],[c_10119]) ).
cnf(c_10131,plain,
( ~ r1(sK32,sK13(X0))
| ~ sP3_iProver_def
| r1(sK52(sK13(X0)),sK53(sK13(X0)))
| p2(sK13(X0)) ),
inference(instantiation,[status(thm)],[c_10020]) ).
cnf(c_10132,plain,
( ~ r1(sK32,sK13(sK32))
| ~ sP3_iProver_def
| r1(sK52(sK13(sK32)),sK53(sK13(sK32)))
| p2(sK13(sK32)) ),
inference(instantiation,[status(thm)],[c_10131]) ).
cnf(c_10143,plain,
( ~ r1(sK32,sK13(X0))
| ~ sP4_iProver_def
| r1(sK13(X0),sK52(sK13(X0)))
| p2(sK13(X0)) ),
inference(instantiation,[status(thm)],[c_10022]) ).
cnf(c_10144,plain,
( ~ r1(sK32,sK13(sK32))
| ~ sP4_iProver_def
| r1(sK13(sK32),sK52(sK13(sK32)))
| p2(sK13(sK32)) ),
inference(instantiation,[status(thm)],[c_10143]) ).
cnf(c_10192,plain,
( ~ r1(sK32,sK54)
| r1(sK54,sK33(sK54))
| p2(sK54) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_10193,plain,
( ~ r1(sK32,sK54)
| ~ p2(sK33(sK54))
| p2(sK54) ),
inference(instantiation,[status(thm)],[c_104]) ).
cnf(c_10681,plain,
( ~ sP2(sK44)
| r1(sK25(sK44),sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_10682,plain,
( ~ sP2(sK44)
| r1(sK44,sK25(sK44)) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_10683,plain,
( ~ p2(sK26(sK44))
| ~ sP2(sK44) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_11076,plain,
( ~ r1(sK32,sK44)
| ~ sP4_iProver_def
| r1(sK44,sK52(sK44))
| p2(sK44) ),
inference(instantiation,[status(thm)],[c_10022]) ).
cnf(c_11080,plain,
( ~ r1(sK32,sK44)
| ~ sP0_iProver_def
| p2(sK52(sK44))
| p2(sK44) ),
inference(instantiation,[status(thm)],[c_10015]) ).
cnf(c_11361,plain,
( ~ r1(sK33(X0),X1)
| ~ r1(X1,sK28(X2))
| ~ r1(sK32,X0)
| ~ p2(X1)
| p2(sK28(X2))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_11391,plain,
( ~ r1(sK26(sK44),X0)
| ~ r1(X0,X1)
| ~ p2(X0)
| ~ sP2(sK44)
| p2(X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_11392,plain,
( ~ r1(sK44,X0)
| ~ sP2(sK44)
| r1(sK23(X0),sK24(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_11393,plain,
( ~ r1(sK44,X0)
| ~ sP2(sK44)
| r1(X0,sK23(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_11394,plain,
( ~ r1(sK44,X0)
| ~ p2(sK24(X0))
| ~ sP2(sK44)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_11395,plain,
( ~ r1(sK44,X0)
| ~ sP2(sK44)
| p2(sK23(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
cnf(c_11450,plain,
( ~ r1(X0,sK28(X1))
| ~ r1(sK33(sK54),X0)
| ~ r1(sK32,sK54)
| ~ p2(X0)
| p2(sK28(X1))
| p2(sK54) ),
inference(instantiation,[status(thm)],[c_11361]) ).
cnf(c_11484,plain,
( ~ r1(sK13(X0),sK52(sK13(X0)))
| ~ r1(sK52(sK13(X0)),X1)
| ~ p2(sK52(sK13(X0)))
| ~ sP6(X0)
| p2(X1)
| sP1(X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_11558,plain,
( ~ r1(sK52(sK13(X0)),sK53(sK13(X0)))
| ~ r1(sK13(X0),sK52(sK13(X0)))
| ~ p2(sK52(sK13(X0)))
| ~ sP6(X0)
| p2(sK53(sK13(X0)))
| sP1(X0) ),
inference(instantiation,[status(thm)],[c_11484]) ).
cnf(c_11559,plain,
( ~ r1(sK52(sK13(sK32)),sK53(sK13(sK32)))
| ~ r1(sK13(sK32),sK52(sK13(sK32)))
| ~ p2(sK52(sK13(sK32)))
| ~ sP6(sK32)
| p2(sK53(sK13(sK32)))
| sP1(sK32) ),
inference(instantiation,[status(thm)],[c_11558]) ).
cnf(c_11599,plain,
( ~ r1(sK27(X0),sK28(X0))
| ~ r1(sK33(sK54),sK27(X0))
| ~ p2(sK27(X0))
| ~ r1(sK32,sK54)
| p2(sK28(X0))
| p2(sK54) ),
inference(instantiation,[status(thm)],[c_11450]) ).
cnf(c_11631,plain,
( ~ r1(sK27(sK33(sK54)),sK28(sK33(sK54)))
| ~ r1(sK33(sK54),sK27(sK33(sK54)))
| ~ p2(sK27(sK33(sK54)))
| ~ r1(sK32,sK54)
| p2(sK28(sK33(sK54)))
| p2(sK54) ),
inference(instantiation,[status(thm)],[c_11599]) ).
cnf(c_11651,plain,
( ~ r1(X0,sK33(X1))
| ~ r1(X2,X0)
| ~ sP1(X2)
| p2(sK27(sK33(X1)))
| p2(sK33(X1)) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_11704,plain,
( ~ r1(X0,sK33(sK54))
| ~ r1(X1,X0)
| ~ sP1(X1)
| p2(sK27(sK33(sK54)))
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_11651]) ).
cnf(c_11743,plain,
( ~ r1(X0,sK33(X1))
| ~ r1(X2,X0)
| ~ sP1(X2)
| r1(sK33(X1),sK27(sK33(X1)))
| p2(sK33(X1)) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_11790,plain,
( ~ r1(sK54,sK33(sK54))
| ~ r1(X0,sK54)
| ~ sP1(X0)
| p2(sK27(sK33(sK54)))
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_11704]) ).
cnf(c_11791,plain,
( ~ r1(sK54,sK33(sK54))
| ~ r1(sK32,sK54)
| ~ sP1(sK32)
| p2(sK27(sK33(sK54)))
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_11790]) ).
cnf(c_11806,plain,
( ~ r1(X0,sK33(sK54))
| ~ r1(X1,X0)
| ~ sP1(X1)
| r1(sK33(sK54),sK27(sK33(sK54)))
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_11743]) ).
cnf(c_11826,plain,
( ~ r1(X0,sK33(X1))
| ~ r1(X2,X0)
| ~ sP1(X2)
| r1(sK27(sK33(X1)),sK28(sK33(X1)))
| p2(sK33(X1)) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_11847,plain,
( ~ r1(sK54,sK33(sK54))
| ~ r1(X0,sK54)
| ~ sP1(X0)
| r1(sK33(sK54),sK27(sK33(sK54)))
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_11806]) ).
cnf(c_11848,plain,
( ~ r1(sK54,sK33(sK54))
| ~ r1(sK32,sK54)
| ~ sP1(sK32)
| r1(sK33(sK54),sK27(sK33(sK54)))
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_11847]) ).
cnf(c_11874,plain,
( ~ r1(X0,sK33(sK54))
| ~ r1(X1,X0)
| ~ sP1(X1)
| r1(sK27(sK33(sK54)),sK28(sK33(sK54)))
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_11826]) ).
cnf(c_11950,plain,
( ~ r1(sK54,sK33(sK54))
| ~ r1(X0,sK54)
| ~ sP1(X0)
| r1(sK27(sK33(sK54)),sK28(sK33(sK54)))
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_11874]) ).
cnf(c_11951,plain,
( ~ r1(sK54,sK33(sK54))
| ~ r1(sK32,sK54)
| ~ sP1(sK32)
| r1(sK27(sK33(sK54)),sK28(sK33(sK54)))
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_11950]) ).
cnf(c_12072,plain,
( ~ r1(X0,sK53(X1))
| ~ r1(sK44,X0)
| ~ p2(X0)
| ~ sP5_iProver_def
| p2(sK53(X1)) ),
inference(instantiation,[status(thm)],[c_10024]) ).
cnf(c_12118,plain,
( ~ r1(X0,sK26(sK44))
| ~ sP5(X0)
| p2(sK14(sK26(sK44)))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_12170,plain,
( ~ r1(X0,sK26(sK44))
| ~ sP5(X0)
| r1(sK14(sK26(sK44)),sK15(sK26(sK44)))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_12214,plain,
( ~ r1(X0,sK26(sK44))
| ~ sP5(X0)
| r1(sK26(sK44),sK14(sK26(sK44)))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_12263,plain,
( ~ r1(sK32,X0)
| ~ sP0(sK32)
| r1(X0,sK29(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_100]) ).
cnf(c_12265,plain,
( ~ r1(sK32,X0)
| ~ sP0(sK32)
| p2(sK29(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_12290,plain,
( ~ r1(sK52(X0),sK53(X0))
| ~ r1(sK44,sK52(X0))
| ~ p2(sK52(X0))
| ~ sP5_iProver_def
| p2(sK53(X0)) ),
inference(instantiation,[status(thm)],[c_12072]) ).
cnf(c_12361,plain,
( ~ r1(sK25(sK44),X0)
| ~ r1(sK44,sK25(sK44))
| ~ r1(X0,X1)
| ~ p2(X0)
| sP5(sK25(sK44))
| sP4(sK25(sK44))
| p2(X1)
| sP6(sK32) ),
inference(instantiation,[status(thm)],[c_131]) ).
cnf(c_12371,plain,
( ~ r1(sK44,sK25(sK44))
| ~ p2(sK25(sK44))
| sP5(sK25(sK44))
| sP4(sK25(sK44))
| sP6(sK32) ),
inference(instantiation,[status(thm)],[c_132]) ).
cnf(c_12431,plain,
( ~ r1(sK32,sK13(X0))
| ~ sP0(sK32)
| r1(sK13(X0),sK29(sK13(X0)))
| p2(sK13(X0)) ),
inference(instantiation,[status(thm)],[c_12263]) ).
cnf(c_12432,plain,
( ~ r1(sK32,sK13(sK32))
| ~ sP0(sK32)
| r1(sK13(sK32),sK29(sK13(sK32)))
| p2(sK13(sK32)) ),
inference(instantiation,[status(thm)],[c_12431]) ).
cnf(c_12486,plain,
( ~ r1(sK52(sK44),sK53(sK44))
| ~ r1(sK44,sK52(sK44))
| ~ p2(sK52(sK44))
| ~ sP5_iProver_def
| p2(sK53(sK44)) ),
inference(instantiation,[status(thm)],[c_12290]) ).
cnf(c_12546,plain,
( ~ r1(sK25(sK44),sK23(sK25(sK44)))
| ~ r1(sK23(sK25(sK44)),X0)
| ~ r1(sK44,sK25(sK44))
| ~ p2(sK23(sK25(sK44)))
| sP5(sK25(sK44))
| sP4(sK25(sK44))
| p2(X0)
| sP6(sK32) ),
inference(instantiation,[status(thm)],[c_12361]) ).
cnf(c_12782,plain,
( ~ r1(sK25(sK44),sK26(sK44))
| ~ sP5(sK25(sK44))
| p2(sK14(sK26(sK44)))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_12118]) ).
cnf(c_12852,plain,
( ~ r1(sK25(sK44),sK26(sK44))
| ~ sP5(sK25(sK44))
| r1(sK14(sK26(sK44)),sK15(sK26(sK44)))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_12170]) ).
cnf(c_12927,plain,
( ~ r1(sK25(sK44),sK26(sK44))
| ~ sP5(sK25(sK44))
| r1(sK26(sK44),sK14(sK26(sK44)))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_12214]) ).
cnf(c_13063,plain,
( ~ r1(sK44,sK25(sK44))
| ~ sP2(sK44)
| p2(sK23(sK25(sK44)))
| p2(sK25(sK44)) ),
inference(instantiation,[status(thm)],[c_11395]) ).
cnf(c_13064,plain,
( ~ sP2(sK44)
| p2(sK23(sK25(sK44)))
| p2(sK25(sK44)) ),
inference(global_subsumption_just,[status(thm)],[c_13063,c_10682,c_13063]) ).
cnf(c_13194,plain,
( ~ r1(X0,sK26(sK44))
| ~ sP4(X0)
| r1(sK26(sK44),sK17(sK26(sK44)))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_13335,plain,
( ~ r1(sK44,sK25(sK44))
| ~ sP2(sK44)
| r1(sK25(sK44),sK23(sK25(sK44)))
| p2(sK25(sK44)) ),
inference(instantiation,[status(thm)],[c_11393]) ).
cnf(c_13336,plain,
( ~ sP2(sK44)
| r1(sK25(sK44),sK23(sK25(sK44)))
| p2(sK25(sK44)) ),
inference(global_subsumption_just,[status(thm)],[c_13335,c_10682,c_13335]) ).
cnf(c_13361,plain,
( ~ r1(sK32,sK44)
| ~ sP0(sK32)
| p2(sK29(sK44))
| p2(sK44) ),
inference(instantiation,[status(thm)],[c_12265]) ).
cnf(c_13403,plain,
( ~ r1(sK25(sK44),sK26(sK44))
| ~ sP4(sK25(sK44))
| r1(sK26(sK44),sK17(sK26(sK44)))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_13194]) ).
cnf(c_13825,plain,
( ~ r1(sK23(sK25(sK44)),sK24(sK25(sK44)))
| ~ r1(sK25(sK44),sK23(sK25(sK44)))
| ~ r1(sK44,sK25(sK44))
| ~ p2(sK23(sK25(sK44)))
| p2(sK24(sK25(sK44)))
| sP5(sK25(sK44))
| sP4(sK25(sK44))
| sP6(sK32) ),
inference(instantiation,[status(thm)],[c_12546]) ).
cnf(c_14000,plain,
( ~ r1(sK32,sK44)
| ~ sP0(sK32)
| r1(sK44,sK29(sK44))
| p2(sK44) ),
inference(instantiation,[status(thm)],[c_12263]) ).
cnf(c_14143,plain,
( ~ r1(sK44,sK25(sK44))
| ~ sP2(sK44)
| r1(sK23(sK25(sK44)),sK24(sK25(sK44)))
| p2(sK25(sK44)) ),
inference(instantiation,[status(thm)],[c_11392]) ).
cnf(c_14144,plain,
( ~ sP2(sK44)
| r1(sK23(sK25(sK44)),sK24(sK25(sK44)))
| p2(sK25(sK44)) ),
inference(global_subsumption_just,[status(thm)],[c_14143,c_10682,c_14143]) ).
cnf(c_14873,plain,
( ~ r1(sK44,sK25(sK44))
| ~ p2(sK24(sK25(sK44)))
| ~ sP2(sK44)
| p2(sK25(sK44)) ),
inference(instantiation,[status(thm)],[c_11394]) ).
cnf(c_14874,plain,
( ~ p2(sK24(sK25(sK44)))
| ~ sP2(sK44)
| p2(sK25(sK44)) ),
inference(global_subsumption_just,[status(thm)],[c_14873,c_10682,c_14873]) ).
cnf(c_15119,plain,
( ~ r1(sK26(sK44),sK17(sK26(sK44)))
| ~ r1(sK17(sK26(sK44)),X0)
| ~ p2(sK17(sK26(sK44)))
| ~ sP2(sK44)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_11391]) ).
cnf(c_15880,plain,
( ~ r1(sK17(sK26(sK44)),sK18(sK26(sK44)))
| ~ r1(sK26(sK44),sK17(sK26(sK44)))
| ~ p2(sK17(sK26(sK44)))
| ~ sP2(sK44)
| p2(sK18(sK26(sK44))) ),
inference(instantiation,[status(thm)],[c_15119]) ).
cnf(c_16505,plain,
( ~ r1(X0,sK26(sK44))
| ~ sP4(X0)
| r1(sK17(sK26(sK44)),sK18(sK26(sK44)))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_17113,plain,
( ~ r1(sK25(sK44),sK26(sK44))
| ~ sP4(sK25(sK44))
| r1(sK17(sK26(sK44)),sK18(sK26(sK44)))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_16505]) ).
cnf(c_17184,plain,
( ~ r1(sK33(X0),X1)
| ~ r1(X1,sK28(X2))
| ~ r1(sK32,X0)
| ~ p2(X1)
| p2(sK28(X2))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_103]) ).
cnf(c_17195,plain,
( ~ r1(sK32,X0)
| ~ sP0(sK32)
| r1(sK29(X0),sK30(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_99]) ).
cnf(c_17197,plain,
( ~ r1(sK32,X0)
| ~ sP0(sK32)
| p2(sK29(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_97]) ).
cnf(c_17224,plain,
( ~ r1(sK26(sK44),X0)
| ~ r1(X0,X1)
| ~ p2(X0)
| ~ sP2(sK44)
| p2(X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_17273,plain,
( ~ r1(sK33(sK31(X0)),X1)
| ~ r1(X1,sK28(X2))
| ~ r1(sK32,sK31(X0))
| ~ p2(X1)
| p2(sK28(X2))
| p2(sK31(X0)) ),
inference(instantiation,[status(thm)],[c_17184]) ).
cnf(c_17481,plain,
( ~ r1(sK25(sK44),X0)
| ~ p2(sK18(X0))
| ~ sP4(sK25(sK44))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_74]) ).
cnf(c_17482,plain,
( ~ r1(sK25(sK44),X0)
| ~ sP4(sK25(sK44))
| p2(sK17(X0))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_17732,plain,
( ~ r1(sK25(sK44),sK26(sK44))
| ~ p2(sK18(sK26(sK44)))
| ~ sP4(sK25(sK44))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_17481]) ).
cnf(c_18458,plain,
( ~ r1(sK25(sK44),sK26(sK44))
| ~ sP4(sK25(sK44))
| p2(sK17(sK26(sK44)))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_17482]) ).
cnf(c_18464,plain,
( ~ r1(sK25(sK44),X0)
| ~ p2(sK15(X0))
| ~ sP5(sK25(sK44))
| p2(X0) ),
inference(instantiation,[status(thm)],[c_67]) ).
cnf(c_18639,plain,
( ~ r1(sK25(sK44),sK26(sK44))
| ~ p2(sK15(sK26(sK44)))
| ~ sP5(sK25(sK44))
| p2(sK26(sK44)) ),
inference(instantiation,[status(thm)],[c_18464]) ).
cnf(c_18817,plain,
( ~ r1(sK26(sK44),sK14(sK26(sK44)))
| ~ r1(sK14(sK26(sK44)),X0)
| ~ p2(sK14(sK26(sK44)))
| ~ sP2(sK44)
| p2(X0) ),
inference(instantiation,[status(thm)],[c_17224]) ).
cnf(c_19500,plain,
( ~ r1(sK14(sK26(sK44)),sK15(sK26(sK44)))
| ~ r1(sK26(sK44),sK14(sK26(sK44)))
| ~ p2(sK14(sK26(sK44)))
| ~ sP2(sK44)
| p2(sK15(sK26(sK44))) ),
inference(instantiation,[status(thm)],[c_18817]) ).
cnf(c_19509,plain,
( ~ r1(sK13(sK32),X0)
| ~ r1(X0,X1)
| ~ p2(X0)
| ~ sP6(sK32)
| p2(X1)
| sP1(sK32) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_20349,plain,
( ~ r1(X0,X1)
| ~ r1(sK32,X0)
| ~ sP1(sK32)
| r1(sK27(X1),sK28(X1))
| p2(X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
cnf(c_20350,plain,
( ~ r1(X0,X1)
| ~ r1(sK32,X0)
| ~ sP1(sK32)
| r1(X1,sK27(X1))
| p2(X1) ),
inference(instantiation,[status(thm)],[c_96]) ).
cnf(c_20351,plain,
( ~ r1(X0,X1)
| ~ r1(sK32,X0)
| ~ sP1(sK32)
| p2(sK27(X1))
| p2(X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_20715,plain,
( ~ r1(X0,sK33(sK31(X1)))
| ~ r1(sK32,X0)
| ~ sP1(sK32)
| r1(sK27(sK33(sK31(X1))),sK28(sK33(sK31(X1))))
| p2(sK33(sK31(X1))) ),
inference(instantiation,[status(thm)],[c_20349]) ).
cnf(c_20755,plain,
( ~ r1(X0,sK33(sK31(X1)))
| ~ r1(sK32,X0)
| ~ sP1(sK32)
| r1(sK33(sK31(X1)),sK27(sK33(sK31(X1))))
| p2(sK33(sK31(X1))) ),
inference(instantiation,[status(thm)],[c_20350]) ).
cnf(c_21278,plain,
( ~ r1(sK31(X0),sK33(sK31(X0)))
| ~ r1(sK32,sK31(X0))
| ~ sP1(sK32)
| r1(sK27(sK33(sK31(X0))),sK28(sK33(sK31(X0))))
| p2(sK33(sK31(X0))) ),
inference(instantiation,[status(thm)],[c_20715]) ).
cnf(c_21279,plain,
( ~ r1(sK31(sK32),sK33(sK31(sK32)))
| ~ r1(sK32,sK31(sK32))
| ~ sP1(sK32)
| r1(sK27(sK33(sK31(sK32))),sK28(sK33(sK31(sK32))))
| p2(sK33(sK31(sK32))) ),
inference(instantiation,[status(thm)],[c_21278]) ).
cnf(c_21440,plain,
( ~ r1(sK31(X0),sK33(sK31(X0)))
| ~ r1(sK32,sK31(X0))
| ~ sP1(sK32)
| r1(sK33(sK31(X0)),sK27(sK33(sK31(X0))))
| p2(sK33(sK31(X0))) ),
inference(instantiation,[status(thm)],[c_20755]) ).
cnf(c_21441,plain,
( ~ r1(sK31(sK32),sK33(sK31(sK32)))
| ~ r1(sK32,sK31(sK32))
| ~ sP1(sK32)
| r1(sK33(sK31(sK32)),sK27(sK33(sK31(sK32))))
| p2(sK33(sK31(sK32))) ),
inference(instantiation,[status(thm)],[c_21440]) ).
cnf(c_21791,plain,
( ~ r1(X0,sK33(sK31(X1)))
| ~ p2(sK28(sK33(sK31(X1))))
| ~ r1(X2,X0)
| ~ sP1(X2)
| p2(sK33(sK31(X1))) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_22012,plain,
( ~ r1(X0,sK33(sK54))
| ~ p2(sK28(sK33(sK54)))
| ~ r1(X1,X0)
| ~ sP1(X1)
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_22195,plain,
( ~ r1(sK31(X0),sK33(sK31(X0)))
| ~ p2(sK28(sK33(sK31(X0))))
| ~ r1(X1,sK31(X0))
| ~ sP1(X1)
| p2(sK33(sK31(X0))) ),
inference(instantiation,[status(thm)],[c_21791]) ).
cnf(c_22196,plain,
( ~ r1(sK31(sK32),sK33(sK31(sK32)))
| ~ p2(sK28(sK33(sK31(sK32))))
| ~ r1(sK32,sK31(sK32))
| ~ sP1(sK32)
| p2(sK33(sK31(sK32))) ),
inference(instantiation,[status(thm)],[c_22195]) ).
cnf(c_22455,plain,
( ~ r1(sK54,sK33(sK54))
| ~ p2(sK28(sK33(sK54)))
| ~ r1(X0,sK54)
| ~ sP1(X0)
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_22012]) ).
cnf(c_22456,plain,
( ~ r1(sK54,sK33(sK54))
| ~ p2(sK28(sK33(sK54)))
| ~ r1(sK32,sK54)
| ~ sP1(sK32)
| p2(sK33(sK54)) ),
inference(instantiation,[status(thm)],[c_22455]) ).
cnf(c_22759,plain,
( ~ r1(sK13(sK32),sK29(sK13(sK32)))
| ~ r1(sK29(sK13(sK32)),X0)
| ~ p2(sK29(sK13(sK32)))
| ~ sP6(sK32)
| p2(X0)
| sP1(sK32) ),
inference(instantiation,[status(thm)],[c_19509]) ).
cnf(c_22760,plain,
( ~ r1(sK29(sK13(sK32)),X0)
| ~ p2(sK29(sK13(sK32)))
| ~ sP6(sK32)
| p2(X0)
| sP1(sK32) ),
inference(global_subsumption_just,[status(thm)],[c_22759,c_172,c_173,c_10036,c_10037,c_10039,c_10041,c_10108,c_10120,c_10132,c_10144,c_11559,c_12432,c_22759]) ).
cnf(c_22886,plain,
( ~ r1(sK29(sK13(sK32)),sK30(sK13(sK32)))
| ~ p2(sK29(sK13(sK32)))
| ~ sP6(sK32)
| p2(sK30(sK13(sK32)))
| sP1(sK32) ),
inference(instantiation,[status(thm)],[c_22760]) ).
cnf(c_22973,plain,
( ~ r1(sK32,sK13(sK32))
| ~ sP0(sK32)
| r1(sK29(sK13(sK32)),sK30(sK13(sK32)))
| p2(sK13(sK32)) ),
inference(instantiation,[status(thm)],[c_17195]) ).
cnf(c_23076,plain,
( ~ r1(sK32,sK13(sK32))
| ~ sP0(sK32)
| p2(sK29(sK13(sK32)))
| p2(sK13(sK32)) ),
inference(instantiation,[status(thm)],[c_17197]) ).
cnf(c_23085,plain,
( ~ r1(X0,sK13(sK32))
| ~ p2(sK30(sK13(sK32)))
| ~ sP0(X0)
| p2(sK13(sK32)) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_23086,plain,
( ~ r1(sK32,sK13(sK32))
| ~ p2(sK30(sK13(sK32)))
| ~ sP0(sK32)
| p2(sK13(sK32)) ),
inference(instantiation,[status(thm)],[c_23085]) ).
cnf(c_23286,plain,
( ~ r1(sK33(sK31(X0)),sK27(sK33(sK31(X0))))
| ~ r1(sK27(sK33(sK31(X0))),sK28(X1))
| ~ p2(sK27(sK33(sK31(X0))))
| ~ r1(sK32,sK31(X0))
| p2(sK28(X1))
| p2(sK31(X0)) ),
inference(instantiation,[status(thm)],[c_17273]) ).
cnf(c_23928,plain,
( ~ r1(sK27(sK33(sK31(X0))),sK28(sK33(sK31(X0))))
| ~ r1(sK33(sK31(X0)),sK27(sK33(sK31(X0))))
| ~ p2(sK27(sK33(sK31(X0))))
| ~ r1(sK32,sK31(X0))
| p2(sK28(sK33(sK31(X0))))
| p2(sK31(X0)) ),
inference(instantiation,[status(thm)],[c_23286]) ).
cnf(c_23929,plain,
( ~ r1(sK27(sK33(sK31(sK32))),sK28(sK33(sK31(sK32))))
| ~ r1(sK33(sK31(sK32)),sK27(sK33(sK31(sK32))))
| ~ p2(sK27(sK33(sK31(sK32))))
| ~ r1(sK32,sK31(sK32))
| p2(sK28(sK33(sK31(sK32))))
| p2(sK31(sK32)) ),
inference(instantiation,[status(thm)],[c_23928]) ).
cnf(c_24145,plain,
( ~ r1(X0,sK33(sK31(X1)))
| ~ r1(sK32,X0)
| ~ sP1(sK32)
| p2(sK27(sK33(sK31(X1))))
| p2(sK33(sK31(X1))) ),
inference(instantiation,[status(thm)],[c_20351]) ).
cnf(c_24254,plain,
( ~ r1(sK31(X0),sK33(sK31(X0)))
| ~ r1(sK32,sK31(X0))
| ~ sP1(sK32)
| p2(sK27(sK33(sK31(X0))))
| p2(sK33(sK31(X0))) ),
inference(instantiation,[status(thm)],[c_24145]) ).
cnf(c_24255,plain,
( ~ r1(sK31(sK32),sK33(sK31(sK32)))
| ~ r1(sK32,sK31(sK32))
| ~ sP1(sK32)
| p2(sK27(sK33(sK31(sK32))))
| p2(sK33(sK31(sK32))) ),
inference(instantiation,[status(thm)],[c_24254]) ).
cnf(c_24541,plain,
( ~ r1(X0,sK44)
| ~ p2(sK30(sK44))
| ~ sP0(X0)
| p2(sK44) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_24570,plain,
( ~ r1(sK32,sK44)
| ~ p2(sK30(sK44))
| ~ sP0(sK32)
| p2(sK44) ),
inference(instantiation,[status(thm)],[c_24541]) ).
cnf(c_24591,plain,
( ~ r1(sK32,sK44)
| ~ sP3_iProver_def
| r1(sK52(sK44),sK53(sK44))
| p2(sK44) ),
inference(instantiation,[status(thm)],[c_10020]) ).
cnf(c_24592,plain,
( ~ r1(sK32,sK44)
| ~ p2(sK53(sK44))
| ~ sP2_iProver_def
| p2(sK44) ),
inference(instantiation,[status(thm)],[c_10018]) ).
cnf(c_24912,plain,
( ~ r1(sK29(sK44),X0)
| ~ r1(sK44,sK29(sK44))
| ~ p2(sK29(sK44))
| ~ sP5_iProver_def
| p2(X0) ),
inference(instantiation,[status(thm)],[c_10024]) ).
cnf(c_25331,plain,
( ~ r1(sK29(sK44),sK30(sK44))
| ~ r1(sK44,sK29(sK44))
| ~ p2(sK29(sK44))
| ~ sP5_iProver_def
| p2(sK30(sK44)) ),
inference(instantiation,[status(thm)],[c_24912]) ).
cnf(c_25838,plain,
( ~ r1(sK32,sK44)
| ~ sP0(sK32)
| r1(sK29(sK44),sK30(sK44))
| p2(sK44) ),
inference(instantiation,[status(thm)],[c_17195]) ).
cnf(c_25840,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_25838,c_25331,c_24591,c_24592,c_24570,c_24255,c_23929,c_23086,c_23076,c_22973,c_22886,c_22456,c_22196,c_21441,c_21279,c_19500,c_18639,c_18458,c_17732,c_17113,c_15880,c_14874,c_14144,c_14000,c_13825,c_13403,c_13361,c_13336,c_13064,c_12927,c_12852,c_12782,c_12486,c_12371,c_11951,c_11848,c_11791,c_11631,c_11559,c_11080,c_11076,c_10681,c_10682,c_10683,c_10192,c_10193,c_10144,c_10132,c_10120,c_10108,c_10072,c_10060,c_10041,c_10039,c_10037,c_10036,c_10025,c_1293,c_1283,c_180,c_173,c_172,c_158,c_157,c_134,c_135,c_156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : LCL660+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 19:14:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.90/3.14 % SZS status Started for theBenchmark.p
% 17.90/3.14 % SZS status Theorem for theBenchmark.p
% 17.90/3.14
% 17.90/3.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.90/3.14
% 17.90/3.14 ------ iProver source info
% 17.90/3.14
% 17.90/3.14 git: date: 2024-05-02 19:28:25 +0000
% 17.90/3.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.90/3.14 git: non_committed_changes: false
% 17.90/3.14
% 17.90/3.14 ------ Parsing...
% 17.90/3.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.90/3.14
% 17.90/3.14 ------ Preprocessing... sf_s rm: 36 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 17.90/3.14
% 17.90/3.14 ------ Preprocessing... gs_s sp: 9 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.90/3.14 ------ Proving...
% 17.90/3.14 ------ Problem Properties
% 17.90/3.14
% 17.90/3.14
% 17.90/3.14 clauses 76
% 17.90/3.14 conjectures 20
% 17.90/3.14 EPR 17
% 17.90/3.14 Horn 31
% 17.90/3.14 unary 5
% 17.90/3.14 binary 11
% 17.90/3.14 lits 268
% 17.90/3.14 lits eq 0
% 17.90/3.14 fd_pure 0
% 17.90/3.14 fd_pseudo 0
% 17.90/3.14 fd_cond 0
% 17.90/3.14 fd_pseudo_cond 0
% 17.90/3.14 AC symbols 0
% 17.90/3.14
% 17.90/3.14 ------ Input Options Time Limit: Unbounded
% 17.90/3.14
% 17.90/3.14
% 17.90/3.14 ------
% 17.90/3.14 Current options:
% 17.90/3.14 ------
% 17.90/3.14
% 17.90/3.14
% 17.90/3.14
% 17.90/3.14
% 17.90/3.14 ------ Proving...
% 17.90/3.14
% 17.90/3.14
% 17.90/3.14 % SZS status Theorem for theBenchmark.p
% 17.90/3.14
% 17.90/3.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.90/3.14
% 17.90/3.15
%------------------------------------------------------------------------------