TSTP Solution File: LCL652+1.001 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 : Thu Aug 31 07:46:42 EDT 2023
% Result : Theorem 7.33s 1.66s
% Output : CNFRefutation 7.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 178 ( 4 unt; 0 def)
% Number of atoms : 1617 ( 0 equ)
% Maximal formula atoms : 78 ( 9 avg)
% Number of connectives : 2734 (1295 ~;1098 |; 317 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-1 aty)
% Number of variables : 924 ( 0 sgn; 568 !; 178 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ ! [X0] :
( ~ ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& p2(X0)
& ~ ! [X1] :
( ~ ( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ( ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ p4(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] :
( p3(X20)
| ~ r1(X19,X20) )
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p3(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] :
( p3(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] :
( p3(X39)
| ~ r1(X38,X39) ) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] :
( p3(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) )
| ~ ! [X49] :
( ~ p4(X49)
| ~ r1(X0,X49) ) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] :
( p3(X20)
| ~ r1(X19,X20) )
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p3(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] :
( p3(X33)
| ~ r1(X32,X33) )
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] :
( p3(X39)
| ~ r1(X38,X39) ) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] :
( p3(X42)
| ~ r1(X41,X42) )
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) )
| ~ ! [X49] :
( ~ p4(X49)
| ~ r1(X0,X49) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] : ~ r1(X19,X20)
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] : ~ r1(X24,X25)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] : ~ r1(X32,X33)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] : ~ r1(X38,X39) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] : ~ r1(X41,X42)
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) )
| ~ ! [X49] :
( ~ p4(X49)
| ~ r1(X0,X49) ) ),
inference(pure_predicate_removal,[],[f4]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ ! [X2] :
( ~ p1(X2)
| ~ r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
| ! [X5] :
( ~ ! [X6] :
( ~ ! [X7] :
( p2(X7)
| ~ r1(X6,X7) )
| ~ r1(X5,X6) )
| ~ r1(X0,X5) )
| ! [X8] :
( ! [X9] :
( p1(X9)
| ~ r1(X8,X9) )
| ! [X10] :
( ~ ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
| ~ r1(X8,X10) )
| ~ r1(X0,X8) )
| ~ ! [X12] :
( ~ ( ! [X13] :
( p1(X13)
| ~ r1(X12,X13) )
& ~ ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) ) )
| ~ r1(X0,X12) )
| ~ ! [X16] :
( ~ ( ( ! [X17] :
( ~ ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
& ! [X19] :
( ~ p2(X19)
| ! [X20] : ~ r1(X19,X20)
| ~ r1(X16,X19) ) )
| ~ ! [X21] :
( ~ ( ! [X22] :
( ~ ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] : ~ r1(X24,X25)
| ~ r1(X23,X24) )
| ~ r1(X22,X23) )
| ~ r1(X21,X22) )
& ! [X26] :
( ~ ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X21,X26) ) )
| ~ r1(X16,X21) )
| ( ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
| ~ r1(X16,X28) )
& ~ ! [X30] :
( ! [X31] :
( ~ ! [X32] :
( ~ p2(X32)
| ! [X33] : ~ r1(X32,X33)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
| ~ ! [X34] :
( ~ ( ~ ! [X35] :
( ~ ! [X36] :
( ~ ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& p2(X34)
& ~ ! [X38] :
( ~ ( ~ p2(X38)
| ! [X39] : ~ r1(X38,X39) )
| ~ r1(X34,X38) ) )
| ~ r1(X16,X34) )
| ~ ! [X40] :
( ~ ! [X41] :
( ~ p2(X41)
| ! [X42] : ~ r1(X41,X42)
| ~ r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
| ~ ! [X43] :
( ~ ( ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
| ~ r1(X43,X44) )
& ~ ! [X46] :
( ! [X47] :
( ~ ! [X48] :
( ~ p1(X48)
| ~ r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) ) )
| ~ r1(X0,X43) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) ) )
& ! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
& ( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
& ! [X34] :
( ! [X35] :
( ? [X36] :
( ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ p2(X34)
| ! [X38] :
( ( p2(X38)
& ? [X39] : r1(X38,X39) )
| ~ r1(X34,X38) )
| ~ r1(X16,X34) )
& ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] : r1(X41,X42)
& r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
& ! [X43] :
( ? [X44] :
( ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
& r1(X43,X44) )
| ! [X46] :
( ! [X47] :
( ? [X48] :
( p1(X48)
& r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) )
| ~ r1(X0,X43) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( ( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) ) )
& ! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
& ( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) ) )
& ! [X34] :
( ! [X35] :
( ? [X36] :
( ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ p2(X34)
| ! [X38] :
( ( p2(X38)
& ? [X39] : r1(X38,X39) )
| ~ r1(X34,X38) )
| ~ r1(X16,X34) )
& ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] : r1(X41,X42)
& r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
& ! [X43] :
( ? [X44] :
( ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
& r1(X43,X44) )
| ! [X46] :
( ! [X47] :
( ? [X48] :
( p1(X48)
& r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) )
| ~ r1(X0,X43) ) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
! [X16] :
( ! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
| ~ sP0(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X16] :
( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) )
| ~ sP1(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X16] :
( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) )
| ~ sP2(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X16] :
( ! [X34] :
( ! [X35] :
( ? [X36] :
( ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ p2(X34)
| ! [X38] :
( ( p2(X38)
& ? [X39] : r1(X38,X39) )
| ~ r1(X34,X38) )
| ~ r1(X16,X34) )
| ~ sP3(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( sP2(X16)
& sP0(X16)
& sP1(X16)
& sP3(X16)
& ! [X40] :
( ? [X41] :
( p2(X41)
& ? [X42] : r1(X41,X42)
& r1(X40,X41) )
| ~ r1(X16,X40) ) )
| ~ r1(X0,X16) )
& ! [X43] :
( ? [X44] :
( ! [X45] :
( ~ p1(X45)
| ~ r1(X44,X45) )
& r1(X43,X44) )
| ! [X46] :
( ! [X47] :
( ? [X48] :
( p1(X48)
& r1(X47,X48) )
| ~ r1(X46,X47) )
| ~ r1(X43,X46) )
| ~ r1(X0,X43) ) ),
inference(definition_folding,[],[f8,f12,f11,f10,f9]) ).
fof(f14,plain,
! [X16] :
( ! [X34] :
( ! [X35] :
( ? [X36] :
( ! [X37] :
( ~ p2(X37)
| ~ r1(X36,X37) )
& r1(X35,X36) )
| ~ r1(X34,X35) )
| ~ p2(X34)
| ! [X38] :
( ( p2(X38)
& ? [X39] : r1(X38,X39) )
| ~ r1(X34,X38) )
| ~ r1(X16,X34) )
| ~ sP3(X16) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4) )
& r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ p2(X1)
| ! [X5] :
( ( p2(X5)
& ? [X6] : r1(X5,X6) )
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
! [X2] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ~ r1(X3,X4) )
& r1(X2,X3) )
=> ( ! [X4] :
( ~ p2(X4)
| ~ r1(sK4(X2),X4) )
& r1(X2,sK4(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X5] :
( ? [X6] : r1(X5,X6)
=> r1(X5,sK5(X5)) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ! [X4] :
( ~ p2(X4)
| ~ r1(sK4(X2),X4) )
& r1(X2,sK4(X2)) )
| ~ r1(X1,X2) )
| ~ p2(X1)
| ! [X5] :
( ( p2(X5)
& r1(X5,sK5(X5)) )
| ~ r1(X1,X5) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f15,f17,f16]) ).
fof(f19,plain,
! [X16] :
( ? [X17] :
( ! [X18] :
( ~ p2(X18)
| ~ r1(X17,X18) )
& r1(X16,X17) )
| ? [X19] :
( p2(X19)
& ? [X20] : r1(X19,X20)
& r1(X16,X19) )
| ~ sP2(X16) ),
inference(nnf_transformation,[],[f11]) ).
fof(f20,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
| ? [X3] :
( p2(X3)
& ? [X4] : r1(X3,X4)
& r1(X0,X3) )
| ~ sP2(X0) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK6(X0),X2) )
& r1(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
( ? [X3] :
( p2(X3)
& ? [X4] : r1(X3,X4)
& r1(X0,X3) )
=> ( p2(sK7(X0))
& ? [X4] : r1(sK7(X0),X4)
& r1(X0,sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ? [X4] : r1(sK7(X0),X4)
=> r1(sK7(X0),sK8(X0)) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK6(X0),X2) )
& r1(X0,sK6(X0)) )
| ( p2(sK7(X0))
& r1(sK7(X0),sK8(X0))
& r1(X0,sK7(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f20,f23,f22,f21]) ).
fof(f25,plain,
! [X16] :
( ? [X28] :
( ! [X29] :
( ~ p2(X29)
| ~ r1(X28,X29) )
& r1(X16,X28) )
| ! [X30] :
( ! [X31] :
( ? [X32] :
( p2(X32)
& ? [X33] : r1(X32,X33)
& r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X16,X30) )
| ~ sP1(X16) ),
inference(nnf_transformation,[],[f10]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
| ! [X3] :
( ! [X4] :
( ? [X5] :
( p2(X5)
& ? [X6] : r1(X5,X6)
& r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X0,X3) )
| ~ sP1(X0) ),
inference(rectify,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ~ r1(X1,X2) )
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK9(X0),X2) )
& r1(X0,sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X4] :
( ? [X5] :
( p2(X5)
& ? [X6] : r1(X5,X6)
& r1(X4,X5) )
=> ( p2(sK10(X4))
& ? [X6] : r1(sK10(X4),X6)
& r1(X4,sK10(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X4] :
( ? [X6] : r1(sK10(X4),X6)
=> r1(sK10(X4),sK11(X4)) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ( ! [X2] :
( ~ p2(X2)
| ~ r1(sK9(X0),X2) )
& r1(X0,sK9(X0)) )
| ! [X3] :
( ! [X4] :
( ( p2(sK10(X4))
& r1(sK10(X4),sK11(X4))
& r1(X4,sK10(X4)) )
| ~ r1(X3,X4) )
| ~ r1(X0,X3) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f26,f29,f28,f27]) ).
fof(f31,plain,
! [X16] :
( ! [X21] :
( ? [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] : r1(X24,X25)
& r1(X23,X24) )
| ~ r1(X22,X23) )
& r1(X21,X22) )
| ? [X26] :
( ! [X27] :
( ~ p2(X27)
| ~ r1(X26,X27) )
& r1(X21,X26) )
| ~ r1(X16,X21) )
| ~ sP0(X16) ),
inference(nnf_transformation,[],[f9]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] : r1(X4,X5)
& r1(X3,X4) )
| ~ r1(X2,X3) )
& r1(X1,X2) )
| ? [X6] :
( ! [X7] :
( ~ p2(X7)
| ~ r1(X6,X7) )
& r1(X1,X6) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f31]) ).
fof(f33,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] : r1(X4,X5)
& r1(X3,X4) )
| ~ r1(X2,X3) )
& r1(X1,X2) )
=> ( ! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] : r1(X4,X5)
& r1(X3,X4) )
| ~ r1(sK12(X1),X3) )
& r1(X1,sK12(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X3] :
( ? [X4] :
( p2(X4)
& ? [X5] : r1(X4,X5)
& r1(X3,X4) )
=> ( p2(sK13(X3))
& ? [X5] : r1(sK13(X3),X5)
& r1(X3,sK13(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X3] :
( ? [X5] : r1(sK13(X3),X5)
=> r1(sK13(X3),sK14(X3)) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X1] :
( ? [X6] :
( ! [X7] :
( ~ p2(X7)
| ~ r1(X6,X7) )
& r1(X1,X6) )
=> ( ! [X7] :
( ~ p2(X7)
| ~ r1(sK15(X1),X7) )
& r1(X1,sK15(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( ! [X3] :
( ( p2(sK13(X3))
& r1(sK13(X3),sK14(X3))
& r1(X3,sK13(X3)) )
| ~ r1(sK12(X1),X3) )
& r1(X1,sK12(X1)) )
| ( ! [X7] :
( ~ p2(X7)
| ~ r1(sK15(X1),X7) )
& r1(X1,sK15(X1)) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15])],[f32,f36,f35,f34,f33]) ).
fof(f38,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( sP2(X16)
& sP0(X16)
& sP1(X16)
& sP3(X16)
& ! [X17] :
( ? [X18] :
( p2(X18)
& ? [X19] : r1(X18,X19)
& r1(X17,X18) )
| ~ r1(X16,X17) ) )
| ~ r1(X0,X16) )
& ! [X20] :
( ? [X21] :
( ! [X22] :
( ~ p1(X22)
| ~ r1(X21,X22) )
& r1(X20,X21) )
| ! [X23] :
( ! [X24] :
( ? [X25] :
( p1(X25)
& r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X20,X23) )
| ~ r1(X0,X20) ) ),
inference(rectify,[],[f13]) ).
fof(f39,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(X0,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(X0,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(X0,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(X0,X12) )
& ! [X16] :
( ( sP2(X16)
& sP0(X16)
& sP1(X16)
& sP3(X16)
& ! [X17] :
( ? [X18] :
( p2(X18)
& ? [X19] : r1(X18,X19)
& r1(X17,X18) )
| ~ r1(X16,X17) ) )
| ~ r1(X0,X16) )
& ! [X20] :
( ? [X21] :
( ! [X22] :
( ~ p1(X22)
| ~ r1(X21,X22) )
& r1(X20,X21) )
| ! [X23] :
( ! [X24] :
( ? [X25] :
( p1(X25)
& r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X20,X23) )
| ~ r1(X0,X20) ) )
=> ( ! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK16,X1) )
& ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK16,X5) )
& ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK16,X8) )
& ! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(sK16,X12) )
& ! [X16] :
( ( sP2(X16)
& sP0(X16)
& sP1(X16)
& sP3(X16)
& ! [X17] :
( ? [X18] :
( p2(X18)
& ? [X19] : r1(X18,X19)
& r1(X17,X18) )
| ~ r1(X16,X17) ) )
| ~ r1(sK16,X16) )
& ! [X20] :
( ? [X21] :
( ! [X22] :
( ~ p1(X22)
| ~ r1(X21,X22) )
& r1(X20,X21) )
| ! [X23] :
( ! [X24] :
( ? [X25] :
( p1(X25)
& r1(X24,X25) )
| ~ r1(X23,X24) )
| ~ r1(X20,X23) )
| ~ r1(sK16,X20) ) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
=> ( p1(sK17(X1))
& r1(X1,sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ? [X5] :
( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(X5,X6) )
& r1(sK16,X5) )
=> ( ! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
| ~ r1(sK18,X6) )
& r1(sK16,sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
=> ( ~ p2(sK19(X6))
& r1(X6,sK19(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( ? [X8] :
( ? [X9] :
( ~ p1(X9)
& r1(X8,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(X8,X10) )
& r1(sK16,X8) )
=> ( ? [X9] :
( ~ p1(X9)
& r1(sK20,X9) )
& ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK20,X10) )
& r1(sK16,sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
( ? [X9] :
( ~ p1(X9)
& r1(sK20,X9) )
=> ( ~ p1(sK21)
& r1(sK20,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
( ? [X10] :
( ! [X11] :
( p1(X11)
| ~ r1(X10,X11) )
& r1(sK20,X10) )
=> ( ! [X11] :
( p1(X11)
| ~ r1(sK22,X11) )
& r1(sK20,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X12] :
( ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
=> ( ~ p1(sK23(X12))
& r1(X12,sK23(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X17] :
( ? [X18] :
( p2(X18)
& ? [X19] : r1(X18,X19)
& r1(X17,X18) )
=> ( p2(sK24(X17))
& ? [X19] : r1(sK24(X17),X19)
& r1(X17,sK24(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X17] :
( ? [X19] : r1(sK24(X17),X19)
=> r1(sK24(X17),sK25(X17)) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X20] :
( ? [X21] :
( ! [X22] :
( ~ p1(X22)
| ~ r1(X21,X22) )
& r1(X20,X21) )
=> ( ! [X22] :
( ~ p1(X22)
| ~ r1(sK26(X20),X22) )
& r1(X20,sK26(X20)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X24] :
( ? [X25] :
( p1(X25)
& r1(X24,X25) )
=> ( p1(sK27(X24))
& r1(X24,sK27(X24)) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ! [X1] :
( ( p1(sK17(X1))
& r1(X1,sK17(X1)) )
| ! [X3] :
( ! [X4] :
( ~ p1(X4)
| ~ r1(X3,X4) )
| ~ r1(X1,X3) )
| ~ r1(sK16,X1) )
& ! [X6] :
( ( ~ p2(sK19(X6))
& r1(X6,sK19(X6)) )
| ~ r1(sK18,X6) )
& r1(sK16,sK18)
& ~ p1(sK21)
& r1(sK20,sK21)
& ! [X11] :
( p1(X11)
| ~ r1(sK22,X11) )
& r1(sK20,sK22)
& r1(sK16,sK20)
& ! [X12] :
( ( ~ p1(sK23(X12))
& r1(X12,sK23(X12)) )
| ! [X14] :
( ! [X15] :
( p1(X15)
| ~ r1(X14,X15) )
| ~ r1(X12,X14) )
| ~ r1(sK16,X12) )
& ! [X16] :
( ( sP2(X16)
& sP0(X16)
& sP1(X16)
& sP3(X16)
& ! [X17] :
( ( p2(sK24(X17))
& r1(sK24(X17),sK25(X17))
& r1(X17,sK24(X17)) )
| ~ r1(X16,X17) ) )
| ~ r1(sK16,X16) )
& ! [X20] :
( ( ! [X22] :
( ~ p1(X22)
| ~ r1(sK26(X20),X22) )
& r1(X20,sK26(X20)) )
| ! [X23] :
( ! [X24] :
( ( p1(sK27(X24))
& r1(X24,sK27(X24)) )
| ~ r1(X23,X24) )
| ~ r1(X20,X23) )
| ~ r1(sK16,X20) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[f38,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39]) ).
fof(f53,plain,
! [X2,X0,X1,X5] :
( r1(X2,sK4(X2))
| ~ r1(X1,X2)
| ~ p2(X1)
| p2(X5)
| ~ r1(X1,X5)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f55,plain,
! [X2,X0,X1,X4,X5] :
( ~ p2(X4)
| ~ r1(sK4(X2),X4)
| ~ r1(X1,X2)
| ~ p2(X1)
| p2(X5)
| ~ r1(X1,X5)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f56,plain,
! [X0] :
( r1(X0,sK6(X0))
| r1(X0,sK7(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f58,plain,
! [X0] :
( r1(X0,sK6(X0))
| p2(sK7(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f59,plain,
! [X2,X0] :
( ~ p2(X2)
| ~ r1(sK6(X0),X2)
| r1(X0,sK7(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f61,plain,
! [X2,X0] :
( ~ p2(X2)
| ~ r1(sK6(X0),X2)
| p2(sK7(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f62,plain,
! [X3,X0,X4] :
( r1(X0,sK9(X0))
| r1(X4,sK10(X4))
| ~ r1(X3,X4)
| ~ r1(X0,X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f64,plain,
! [X3,X0,X4] :
( r1(X0,sK9(X0))
| p2(sK10(X4))
| ~ r1(X3,X4)
| ~ r1(X0,X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f65,plain,
! [X2,X3,X0,X4] :
( ~ p2(X2)
| ~ r1(sK9(X0),X2)
| r1(X4,sK10(X4))
| ~ r1(X3,X4)
| ~ r1(X0,X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f67,plain,
! [X2,X3,X0,X4] :
( ~ p2(X2)
| ~ r1(sK9(X0),X2)
| p2(sK10(X4))
| ~ r1(X3,X4)
| ~ r1(X0,X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f68,plain,
! [X0,X1] :
( r1(X1,sK12(X1))
| r1(X1,sK15(X1))
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f69,plain,
! [X0,X1,X7] :
( r1(X1,sK12(X1))
| ~ p2(X7)
| ~ r1(sK15(X1),X7)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f70,plain,
! [X3,X0,X1] :
( r1(X3,sK13(X3))
| ~ r1(sK12(X1),X3)
| r1(X1,sK15(X1))
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f71,plain,
! [X3,X0,X1,X7] :
( r1(X3,sK13(X3))
| ~ r1(sK12(X1),X3)
| ~ p2(X7)
| ~ r1(sK15(X1),X7)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f74,plain,
! [X3,X0,X1] :
( p2(sK13(X3))
| ~ r1(sK12(X1),X3)
| r1(X1,sK15(X1))
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f75,plain,
! [X3,X0,X1,X7] :
( p2(sK13(X3))
| ~ r1(sK12(X1),X3)
| ~ p2(X7)
| ~ r1(sK15(X1),X7)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f80,plain,
! [X16,X17] :
( r1(X17,sK24(X17))
| ~ r1(X16,X17)
| ~ r1(sK16,X16) ),
inference(cnf_transformation,[],[f51]) ).
fof(f82,plain,
! [X16,X17] :
( p2(sK24(X17))
| ~ r1(X16,X17)
| ~ r1(sK16,X16) ),
inference(cnf_transformation,[],[f51]) ).
fof(f83,plain,
! [X16] :
( sP3(X16)
| ~ r1(sK16,X16) ),
inference(cnf_transformation,[],[f51]) ).
fof(f84,plain,
! [X16] :
( sP1(X16)
| ~ r1(sK16,X16) ),
inference(cnf_transformation,[],[f51]) ).
fof(f85,plain,
! [X16] :
( sP0(X16)
| ~ r1(sK16,X16) ),
inference(cnf_transformation,[],[f51]) ).
fof(f86,plain,
! [X16] :
( sP2(X16)
| ~ r1(sK16,X16) ),
inference(cnf_transformation,[],[f51]) ).
fof(f94,plain,
r1(sK16,sK18),
inference(cnf_transformation,[],[f51]) ).
fof(f95,plain,
! [X6] :
( r1(X6,sK19(X6))
| ~ r1(sK18,X6) ),
inference(cnf_transformation,[],[f51]) ).
fof(f96,plain,
! [X6] :
( ~ p2(sK19(X6))
| ~ r1(sK18,X6) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_49,plain,
( ~ r1(sK4(X0),X1)
| ~ r1(X2,X0)
| ~ r1(X2,X3)
| ~ r1(X4,X2)
| ~ p2(X1)
| ~ p2(X2)
| ~ sP3(X4)
| p2(X3) ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_51,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ p2(X0)
| ~ sP3(X3)
| r1(X1,sK4(X1))
| p2(X2) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_53,plain,
( ~ r1(sK6(X0),X1)
| ~ p2(X1)
| ~ sP2(X0)
| p2(sK7(X0)) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_55,plain,
( ~ r1(sK6(X0),X1)
| ~ p2(X1)
| ~ sP2(X0)
| r1(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_56,plain,
( ~ sP2(X0)
| r1(X0,sK6(X0))
| p2(sK7(X0)) ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_58,plain,
( ~ sP2(X0)
| r1(X0,sK6(X0))
| r1(X0,sK7(X0)) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_59,plain,
( ~ r1(sK9(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X2,X3)
| ~ p2(X1)
| ~ sP1(X0)
| p2(sK10(X3)) ),
inference(cnf_transformation,[],[f67]) ).
cnf(c_61,plain,
( ~ r1(sK9(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X2,X3)
| ~ p2(X1)
| ~ sP1(X0)
| r1(X3,sK10(X3)) ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_62,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| r1(X0,sK9(X0))
| p2(sK10(X2)) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_64,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP1(X0)
| r1(X0,sK9(X0))
| r1(X2,sK10(X2)) ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_65,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(sK15(X0),X2)
| ~ r1(X3,X0)
| ~ p2(X2)
| ~ sP0(X3)
| p2(sK13(X1)) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_66,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| r1(X0,sK15(X0))
| p2(sK13(X1)) ),
inference(cnf_transformation,[],[f74]) ).
cnf(c_69,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(sK15(X0),X2)
| ~ r1(X3,X0)
| ~ p2(X2)
| ~ sP0(X3)
| r1(X1,sK13(X1)) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_70,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(X2,X0)
| ~ sP0(X2)
| r1(X0,sK15(X0))
| r1(X1,sK13(X1)) ),
inference(cnf_transformation,[],[f70]) ).
cnf(c_71,plain,
( ~ r1(sK15(X0),X1)
| ~ r1(X2,X0)
| ~ p2(X1)
| ~ sP0(X2)
| r1(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_72,plain,
( ~ r1(X0,X1)
| ~ sP0(X0)
| r1(X1,sK12(X1))
| r1(X1,sK15(X1)) ),
inference(cnf_transformation,[],[f68]) ).
cnf(c_75,negated_conjecture,
( ~ p2(sK19(X0))
| ~ r1(sK18,X0) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_76,negated_conjecture,
( ~ r1(sK18,X0)
| r1(X0,sK19(X0)) ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_77,negated_conjecture,
r1(sK16,sK18),
inference(cnf_transformation,[],[f94]) ).
cnf(c_85,negated_conjecture,
( ~ r1(sK16,X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_86,negated_conjecture,
( ~ r1(sK16,X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_87,negated_conjecture,
( ~ r1(sK16,X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_88,negated_conjecture,
( ~ r1(sK16,X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_89,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK16,X0)
| p2(sK24(X1)) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_91,negated_conjecture,
( ~ r1(X0,X1)
| ~ r1(sK16,X0)
| r1(X1,sK24(X1)) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_528,plain,
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| r1(X0,sK7(X0)) ),
inference(resolution,[status(thm)],[c_85,c_58]) ).
cnf(c_550,plain,
( ~ r1(sK16,X0)
| r1(X0,sK6(X0))
| p2(sK7(X0)) ),
inference(resolution,[status(thm)],[c_85,c_56]) ).
cnf(c_561,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(sK16,X0)
| ~ p2(X1)
| r1(X0,sK7(X0)) ),
inference(resolution,[status(thm)],[c_85,c_55]) ).
cnf(c_589,plain,
( ~ r1(sK6(X0),X1)
| ~ r1(sK16,X0)
| ~ p2(X1)
| p2(sK7(X0)) ),
inference(resolution,[status(thm)],[c_85,c_53]) ).
cnf(c_650,plain,
( ~ r1(sK4(X0),X1)
| ~ r1(X2,X0)
| ~ r1(X2,X3)
| ~ r1(X4,X2)
| ~ r1(sK16,X4)
| ~ p2(X1)
| ~ p2(X2)
| p2(X3) ),
inference(resolution,[status(thm)],[c_49,c_88]) ).
cnf(c_698,plain,
( ~ r1(X0,X1)
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK16,X3)
| ~ p2(X0)
| r1(X1,sK4(X1))
| p2(X2) ),
inference(resolution,[status(thm)],[c_51,c_88]) ).
cnf(c_750,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(sK16,X0)
| r1(X0,sK9(X0))
| r1(X2,sK10(X2)) ),
inference(resolution,[status(thm)],[c_87,c_64]) ).
cnf(c_784,plain,
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ r1(sK16,X0)
| r1(X0,sK9(X0))
| p2(sK10(X2)) ),
inference(resolution,[status(thm)],[c_87,c_62]) ).
cnf(c_801,plain,
( ~ r1(sK9(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X2,X3)
| ~ r1(sK16,X0)
| ~ p2(X1)
| r1(X3,sK10(X3)) ),
inference(resolution,[status(thm)],[c_87,c_61]) ).
cnf(c_841,plain,
( ~ r1(sK9(X0),X1)
| ~ r1(X0,X2)
| ~ r1(X2,X3)
| ~ r1(sK16,X0)
| ~ p2(X1)
| p2(sK10(X3)) ),
inference(resolution,[status(thm)],[c_87,c_59]) ).
cnf(c_894,plain,
( ~ r1(X0,X1)
| ~ r1(sK16,X0)
| r1(X1,sK12(X1))
| r1(X1,sK15(X1)) ),
inference(resolution,[status(thm)],[c_86,c_72]) ).
cnf(c_908,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(sK15(X0),X2)
| ~ r1(X3,X0)
| ~ r1(sK16,X3)
| ~ p2(X2)
| r1(X1,sK13(X1)) ),
inference(resolution,[status(thm)],[c_69,c_86]) ).
cnf(c_948,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(sK15(X0),X2)
| ~ r1(X3,X0)
| ~ r1(sK16,X3)
| ~ p2(X2)
| p2(sK13(X1)) ),
inference(resolution,[status(thm)],[c_65,c_86]) ).
cnf(c_968,plain,
( ~ r1(sK15(X0),X1)
| ~ r1(X2,X0)
| ~ r1(sK16,X2)
| ~ p2(X1)
| r1(X0,sK12(X0)) ),
inference(resolution,[status(thm)],[c_71,c_86]) ).
cnf(c_985,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(X2,X0)
| ~ r1(sK16,X2)
| r1(X0,sK15(X0))
| r1(X1,sK13(X1)) ),
inference(resolution,[status(thm)],[c_70,c_86]) ).
cnf(c_1019,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(X2,X0)
| ~ r1(sK16,X2)
| r1(X0,sK15(X0))
| p2(sK13(X1)) ),
inference(resolution,[status(thm)],[c_66,c_86]) ).
cnf(c_1454,plain,
( ~ r1(sK18,X0)
| ~ r1(sK16,sK18)
| p2(sK24(X0)) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_1462,plain,
( ~ r1(sK18,X0)
| ~ r1(sK16,sK18)
| r1(X0,sK24(X0)) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_1484,plain,
( ~ r1(sK16,sK18)
| r1(sK18,sK6(sK18))
| r1(sK18,sK7(sK18)) ),
inference(instantiation,[status(thm)],[c_528]) ).
cnf(c_1488,plain,
( ~ r1(sK18,X0)
| ~ r1(sK16,sK18)
| r1(X0,sK12(X0))
| r1(X0,sK15(X0)) ),
inference(instantiation,[status(thm)],[c_894]) ).
cnf(c_1492,plain,
( ~ r1(X0,X1)
| ~ r1(sK18,X0)
| ~ r1(sK16,sK18)
| r1(sK18,sK9(sK18))
| p2(sK10(X1)) ),
inference(instantiation,[status(thm)],[c_784]) ).
cnf(c_1500,plain,
( ~ r1(X0,X1)
| ~ r1(sK18,X0)
| ~ r1(sK16,sK18)
| r1(X1,sK10(X1))
| r1(sK18,sK9(sK18)) ),
inference(instantiation,[status(thm)],[c_750]) ).
cnf(c_1545,plain,
( ~ r1(sK18,sK6(sK18))
| ~ r1(sK16,sK18)
| p2(sK24(sK6(sK18))) ),
inference(instantiation,[status(thm)],[c_1454]) ).
cnf(c_1550,plain,
( ~ r1(sK18,sK6(sK18))
| ~ r1(sK16,sK18)
| r1(sK6(sK18),sK24(sK6(sK18))) ),
inference(instantiation,[status(thm)],[c_1462]) ).
cnf(c_1807,plain,
( ~ r1(sK7(sK18),X0)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| r1(X0,sK10(X0))
| r1(sK18,sK9(sK18)) ),
inference(instantiation,[status(thm)],[c_1500]) ).
cnf(c_1808,plain,
( ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| r1(sK7(sK18),sK12(sK7(sK18)))
| r1(sK7(sK18),sK15(sK7(sK18))) ),
inference(instantiation,[status(thm)],[c_1488]) ).
cnf(c_1810,plain,
( ~ r1(sK7(sK18),X0)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| r1(sK18,sK9(sK18))
| p2(sK10(X0)) ),
inference(instantiation,[status(thm)],[c_1492]) ).
cnf(c_1816,plain,
( ~ r1(sK18,sK7(sK18))
| r1(sK7(sK18),sK19(sK7(sK18))) ),
inference(instantiation,[status(thm)],[c_76]) ).
cnf(c_2723,plain,
( ~ r1(sK6(X0),sK24(sK6(sK18)))
| ~ p2(sK24(sK6(sK18)))
| ~ r1(sK16,X0)
| r1(X0,sK7(X0)) ),
inference(instantiation,[status(thm)],[c_561]) ).
cnf(c_6024,plain,
( ~ r1(sK18,sK9(sK18))
| ~ r1(sK16,sK18)
| r1(sK9(sK18),sK24(sK9(sK18))) ),
inference(instantiation,[status(thm)],[c_1462]) ).
cnf(c_6026,plain,
( ~ r1(sK18,sK9(sK18))
| ~ r1(sK16,sK18)
| p2(sK24(sK9(sK18))) ),
inference(instantiation,[status(thm)],[c_1454]) ).
cnf(c_6091,plain,
( ~ r1(sK16,X0)
| p2(sK24(sK6(X0)))
| p2(sK7(X0)) ),
inference(superposition,[status(thm)],[c_550,c_89]) ).
cnf(c_6175,plain,
( ~ r1(sK16,X0)
| r1(sK6(X0),sK24(sK6(X0)))
| p2(sK7(X0)) ),
inference(superposition,[status(thm)],[c_550,c_91]) ).
cnf(c_6526,plain,
( ~ r1(sK6(sK18),sK24(sK6(sK18)))
| ~ p2(sK24(sK6(sK18)))
| ~ r1(sK16,sK18)
| r1(sK18,sK7(sK18)) ),
inference(instantiation,[status(thm)],[c_2723]) ).
cnf(c_10316,plain,
( ~ r1(sK7(sK18),sK15(sK7(sK18)))
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| r1(sK15(sK7(sK18)),sK10(sK15(sK7(sK18))))
| r1(sK18,sK9(sK18)) ),
inference(instantiation,[status(thm)],[c_1807]) ).
cnf(c_10322,plain,
( ~ r1(sK7(sK18),sK15(sK7(sK18)))
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| p2(sK10(sK15(sK7(sK18))))
| r1(sK18,sK9(sK18)) ),
inference(instantiation,[status(thm)],[c_1810]) ).
cnf(c_21657,plain,
( ~ p2(sK24(sK6(X0)))
| ~ r1(sK16,X0)
| p2(sK7(X0)) ),
inference(superposition,[status(thm)],[c_6175,c_589]) ).
cnf(c_25566,plain,
( ~ r1(sK16,X0)
| p2(sK7(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_21657,c_6091,c_21657]) ).
cnf(c_25576,plain,
p2(sK7(sK18)),
inference(superposition,[status(thm)],[c_77,c_25566]) ).
cnf(c_26706,plain,
( ~ r1(sK15(X0),X1)
| ~ r1(sK18,X0)
| ~ r1(sK16,sK18)
| ~ p2(X1)
| r1(X0,sK12(X0)) ),
inference(instantiation,[status(thm)],[c_968]) ).
cnf(c_26708,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(sK18,X0)
| ~ r1(sK16,sK18)
| r1(X0,sK15(X0))
| p2(sK13(X1)) ),
inference(instantiation,[status(thm)],[c_1019]) ).
cnf(c_26714,plain,
( ~ r1(sK9(sK18),X0)
| ~ r1(X1,X2)
| ~ r1(sK18,X1)
| ~ r1(sK16,sK18)
| ~ p2(X0)
| p2(sK10(X2)) ),
inference(instantiation,[status(thm)],[c_841]) ).
cnf(c_26716,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(sK15(X0),X2)
| ~ r1(sK18,X0)
| ~ r1(sK16,sK18)
| ~ p2(X2)
| p2(sK13(X1)) ),
inference(instantiation,[status(thm)],[c_948]) ).
cnf(c_26718,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(sK18,X0)
| ~ r1(sK16,sK18)
| r1(X0,sK15(X0))
| r1(X1,sK13(X1)) ),
inference(instantiation,[status(thm)],[c_985]) ).
cnf(c_26722,plain,
( ~ r1(sK9(sK18),X0)
| ~ r1(X1,X2)
| ~ r1(sK18,X1)
| ~ r1(sK16,sK18)
| ~ p2(X0)
| r1(X2,sK10(X2)) ),
inference(instantiation,[status(thm)],[c_801]) ).
cnf(c_26726,plain,
( ~ r1(sK12(X0),X1)
| ~ r1(sK15(X0),X2)
| ~ r1(sK18,X0)
| ~ r1(sK16,sK18)
| ~ p2(X2)
| r1(X1,sK13(X1)) ),
inference(instantiation,[status(thm)],[c_908]) ).
cnf(c_26730,plain,
( ~ r1(X0,sK19(X1))
| ~ r1(X0,X2)
| ~ r1(X3,X0)
| ~ r1(sK16,X3)
| ~ p2(X0)
| r1(X2,sK4(X2))
| p2(sK19(X1)) ),
inference(instantiation,[status(thm)],[c_698]) ).
cnf(c_26731,plain,
( ~ r1(sK4(X0),X1)
| ~ r1(X2,sK19(X3))
| ~ r1(X2,X0)
| ~ r1(X4,X2)
| ~ r1(sK16,X4)
| ~ p2(X1)
| ~ p2(X2)
| p2(sK19(X3)) ),
inference(instantiation,[status(thm)],[c_650]) ).
cnf(c_26788,plain,
( ~ r1(sK15(sK7(sK18)),X0)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X0)
| r1(sK7(sK18),sK12(sK7(sK18))) ),
inference(instantiation,[status(thm)],[c_26706]) ).
cnf(c_26792,plain,
( ~ r1(sK12(sK7(sK18)),X0)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| r1(sK7(sK18),sK15(sK7(sK18)))
| p2(sK13(X0)) ),
inference(instantiation,[status(thm)],[c_26708]) ).
cnf(c_26796,plain,
( ~ r1(sK7(sK18),X0)
| ~ r1(sK9(sK18),X1)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X1)
| p2(sK10(X0)) ),
inference(instantiation,[status(thm)],[c_26714]) ).
cnf(c_26802,plain,
( ~ r1(sK12(sK7(sK18)),X0)
| ~ r1(sK15(sK7(sK18)),X1)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X1)
| p2(sK13(X0)) ),
inference(instantiation,[status(thm)],[c_26716]) ).
cnf(c_26806,plain,
( ~ r1(sK12(sK7(sK18)),X0)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| r1(sK7(sK18),sK15(sK7(sK18)))
| r1(X0,sK13(X0)) ),
inference(instantiation,[status(thm)],[c_26718]) ).
cnf(c_26814,plain,
( ~ r1(sK7(sK18),X0)
| ~ r1(sK9(sK18),X1)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X1)
| r1(X0,sK10(X0)) ),
inference(instantiation,[status(thm)],[c_26722]) ).
cnf(c_26824,plain,
( ~ r1(sK12(sK7(sK18)),X0)
| ~ r1(sK15(sK7(sK18)),X1)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X1)
| r1(X0,sK13(X0)) ),
inference(instantiation,[status(thm)],[c_26726]) ).
cnf(c_26838,plain,
( ~ r1(X0,sK19(X1))
| ~ r1(X0,X2)
| ~ r1(sK18,X0)
| ~ r1(sK16,sK18)
| ~ p2(X0)
| r1(X2,sK4(X2))
| p2(sK19(X1)) ),
inference(instantiation,[status(thm)],[c_26730]) ).
cnf(c_26841,plain,
( ~ r1(sK4(X0),X1)
| ~ r1(X2,sK19(X3))
| ~ r1(X2,X0)
| ~ r1(sK18,X2)
| ~ r1(sK16,sK18)
| ~ p2(X1)
| ~ p2(X2)
| p2(sK19(X3)) ),
inference(instantiation,[status(thm)],[c_26731]) ).
cnf(c_26977,plain,
( ~ r1(sK7(sK18),sK19(X0))
| ~ r1(sK7(sK18),X1)
| ~ r1(sK18,sK7(sK18))
| ~ p2(sK7(sK18))
| ~ r1(sK16,sK18)
| r1(X1,sK4(X1))
| p2(sK19(X0)) ),
inference(instantiation,[status(thm)],[c_26838]) ).
cnf(c_26987,plain,
( ~ r1(sK7(sK18),sK19(X0))
| ~ r1(sK4(X1),X2)
| ~ r1(sK7(sK18),X1)
| ~ r1(sK18,sK7(sK18))
| ~ p2(sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X2)
| p2(sK19(X0)) ),
inference(instantiation,[status(thm)],[c_26841]) ).
cnf(c_27047,plain,
( ~ r1(sK7(sK18),sK15(sK7(sK18)))
| ~ r1(sK9(sK18),X0)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X0)
| p2(sK10(sK15(sK7(sK18)))) ),
inference(instantiation,[status(thm)],[c_26796]) ).
cnf(c_27087,plain,
( ~ r1(sK7(sK18),sK15(sK7(sK18)))
| ~ r1(sK9(sK18),X0)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X0)
| r1(sK15(sK7(sK18)),sK10(sK15(sK7(sK18)))) ),
inference(instantiation,[status(thm)],[c_26814]) ).
cnf(c_27348,plain,
( ~ r1(sK15(sK7(sK18)),sK10(sK15(sK7(sK18))))
| ~ p2(sK10(sK15(sK7(sK18))))
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| r1(sK7(sK18),sK12(sK7(sK18))) ),
inference(instantiation,[status(thm)],[c_26788]) ).
cnf(c_27918,plain,
( ~ r1(sK7(sK18),sK15(sK7(sK18)))
| ~ r1(sK9(sK18),sK24(sK9(sK18)))
| ~ p2(sK24(sK9(sK18)))
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| p2(sK10(sK15(sK7(sK18)))) ),
inference(instantiation,[status(thm)],[c_27047]) ).
cnf(c_28846,plain,
( ~ r1(sK7(sK18),sK15(sK7(sK18)))
| ~ r1(sK9(sK18),sK24(sK9(sK18)))
| ~ p2(sK24(sK9(sK18)))
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| r1(sK15(sK7(sK18)),sK10(sK15(sK7(sK18)))) ),
inference(instantiation,[status(thm)],[c_27087]) ).
cnf(c_34040,plain,
( ~ r1(sK4(sK12(sK7(sK18))),X0)
| ~ r1(sK7(sK18),sK12(sK7(sK18)))
| ~ r1(sK7(sK18),sK19(X1))
| ~ r1(sK18,sK7(sK18))
| ~ p2(sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X0)
| p2(sK19(X1)) ),
inference(instantiation,[status(thm)],[c_26987]) ).
cnf(c_34043,plain,
( ~ r1(sK7(sK18),sK12(sK7(sK18)))
| ~ r1(sK7(sK18),sK19(X0))
| ~ r1(sK18,sK7(sK18))
| ~ p2(sK7(sK18))
| ~ r1(sK16,sK18)
| r1(sK12(sK7(sK18)),sK4(sK12(sK7(sK18))))
| p2(sK19(X0)) ),
inference(instantiation,[status(thm)],[c_26977]) ).
cnf(c_35708,plain,
( ~ r1(sK12(sK7(sK18)),sK4(sK12(sK7(sK18))))
| ~ r1(sK15(sK7(sK18)),X0)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X0)
| r1(sK4(sK12(sK7(sK18))),sK13(sK4(sK12(sK7(sK18))))) ),
inference(instantiation,[status(thm)],[c_26824]) ).
cnf(c_35709,plain,
( ~ r1(sK12(sK7(sK18)),sK4(sK12(sK7(sK18))))
| ~ r1(sK15(sK7(sK18)),X0)
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X0)
| p2(sK13(sK4(sK12(sK7(sK18))))) ),
inference(instantiation,[status(thm)],[c_26802]) ).
cnf(c_35734,plain,
( ~ r1(sK4(sK12(sK7(sK18))),X0)
| ~ r1(sK7(sK18),sK12(sK7(sK18)))
| ~ r1(sK7(sK18),sK19(sK7(sK18)))
| ~ r1(sK18,sK7(sK18))
| ~ p2(sK7(sK18))
| ~ r1(sK16,sK18)
| ~ p2(X0)
| p2(sK19(sK7(sK18))) ),
inference(instantiation,[status(thm)],[c_34040]) ).
cnf(c_36876,plain,
( ~ r1(sK12(sK7(sK18)),sK4(sK12(sK7(sK18))))
| ~ r1(sK15(sK7(sK18)),sK10(sK15(sK7(sK18))))
| ~ p2(sK10(sK15(sK7(sK18))))
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| r1(sK4(sK12(sK7(sK18))),sK13(sK4(sK12(sK7(sK18))))) ),
inference(instantiation,[status(thm)],[c_35708]) ).
cnf(c_36879,plain,
( ~ r1(sK12(sK7(sK18)),sK4(sK12(sK7(sK18))))
| ~ r1(sK15(sK7(sK18)),sK10(sK15(sK7(sK18))))
| ~ p2(sK10(sK15(sK7(sK18))))
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| p2(sK13(sK4(sK12(sK7(sK18))))) ),
inference(instantiation,[status(thm)],[c_35709]) ).
cnf(c_38197,plain,
( ~ r1(sK4(sK12(sK7(sK18))),sK13(sK4(sK12(sK7(sK18)))))
| ~ p2(sK13(sK4(sK12(sK7(sK18)))))
| ~ r1(sK7(sK18),sK12(sK7(sK18)))
| ~ r1(sK7(sK18),sK19(sK7(sK18)))
| ~ r1(sK18,sK7(sK18))
| ~ p2(sK7(sK18))
| ~ r1(sK16,sK18)
| p2(sK19(sK7(sK18))) ),
inference(instantiation,[status(thm)],[c_35734]) ).
cnf(c_39278,plain,
( ~ p2(sK19(sK7(sK18)))
| ~ r1(sK18,sK7(sK18)) ),
inference(instantiation,[status(thm)],[c_75]) ).
cnf(c_39338,plain,
( ~ r1(sK7(sK18),sK12(sK7(sK18)))
| ~ r1(sK7(sK18),sK19(sK7(sK18)))
| ~ r1(sK18,sK7(sK18))
| ~ p2(sK7(sK18))
| ~ r1(sK16,sK18)
| r1(sK12(sK7(sK18)),sK4(sK12(sK7(sK18))))
| p2(sK19(sK7(sK18))) ),
inference(instantiation,[status(thm)],[c_34043]) ).
cnf(c_39454,plain,
( ~ r1(sK12(sK7(sK18)),sK4(sK12(sK7(sK18))))
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| p2(sK13(sK4(sK12(sK7(sK18)))))
| r1(sK7(sK18),sK15(sK7(sK18))) ),
inference(instantiation,[status(thm)],[c_26792]) ).
cnf(c_39458,plain,
( ~ r1(sK12(sK7(sK18)),sK4(sK12(sK7(sK18))))
| ~ r1(sK18,sK7(sK18))
| ~ r1(sK16,sK18)
| r1(sK4(sK12(sK7(sK18))),sK13(sK4(sK12(sK7(sK18)))))
| r1(sK7(sK18),sK15(sK7(sK18))) ),
inference(instantiation,[status(thm)],[c_26806]) ).
cnf(c_39526,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_39458,c_39454,c_39338,c_39278,c_38197,c_36879,c_36876,c_28846,c_27918,c_27348,c_25576,c_10316,c_10322,c_6526,c_6024,c_6026,c_1808,c_1816,c_1550,c_1545,c_1484,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL652+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 03:42:09 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.33/1.66 % SZS status Started for theBenchmark.p
% 7.33/1.66 % SZS status Theorem for theBenchmark.p
% 7.33/1.66
% 7.33/1.66 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.33/1.66
% 7.33/1.66 ------ iProver source info
% 7.33/1.66
% 7.33/1.66 git: date: 2023-05-31 18:12:56 +0000
% 7.33/1.66 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.33/1.66 git: non_committed_changes: false
% 7.33/1.66 git: last_make_outside_of_git: false
% 7.33/1.66
% 7.33/1.66 ------ Parsing...
% 7.33/1.66 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.33/1.66
% 7.33/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 7.33/1.66
% 7.33/1.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.33/1.66 ------ Proving...
% 7.33/1.66 ------ Problem Properties
% 7.33/1.66
% 7.33/1.66
% 7.33/1.66 clauses 43
% 7.33/1.66 conjectures 19
% 7.33/1.66 EPR 6
% 7.33/1.66 Horn 28
% 7.33/1.66 unary 5
% 7.33/1.66 binary 3
% 7.33/1.66 lits 188
% 7.33/1.66 lits eq 0
% 7.33/1.66 fd_pure 0
% 7.33/1.66 fd_pseudo 0
% 7.33/1.66 fd_cond 0
% 7.33/1.66 fd_pseudo_cond 0
% 7.33/1.66 AC symbols 0
% 7.33/1.66
% 7.33/1.66 ------ Schedule dynamic 5 is on
% 7.33/1.66
% 7.33/1.66 ------ no equalities: superposition off
% 7.33/1.66
% 7.33/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.33/1.66
% 7.33/1.66
% 7.33/1.66 ------
% 7.33/1.66 Current options:
% 7.33/1.66 ------
% 7.33/1.66
% 7.33/1.66
% 7.33/1.66
% 7.33/1.66
% 7.33/1.66 ------ Proving...
% 7.33/1.66
% 7.33/1.66
% 7.33/1.66 % SZS status Theorem for theBenchmark.p
% 7.33/1.66
% 7.33/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.33/1.67
% 7.33/1.67
%------------------------------------------------------------------------------