TSTP Solution File: LCL676+1.001 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL676+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 : Sun May 5 07:41:03 EDT 2024
% Result : Theorem 0.59s 0.79s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 36
% Syntax : Number of formulae : 138 ( 1 unt; 0 def)
% Number of atoms : 1639 ( 0 equ)
% Maximal formula atoms : 123 ( 11 avg)
% Number of connectives : 2579 (1078 ~;1052 |; 422 &)
% ( 8 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 9 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-1 aty)
% Number of variables : 737 ( 551 !; 186 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f991,plain,
$false,
inference(avatar_sat_refutation,[],[f197,f201,f209,f214,f224,f781,f795,f805,f983,f990]) ).
fof(f990,plain,
( ~ spl44_9
| ~ spl44_51 ),
inference(avatar_contradiction_clause,[],[f989]) ).
fof(f989,plain,
( $false
| ~ spl44_9
| ~ spl44_51 ),
inference(subsumption_resolution,[],[f987,f196]) ).
fof(f196,plain,
( sP1(sK32)
| ~ spl44_9 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl44_9
<=> sP1(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_9])]) ).
fof(f987,plain,
( ~ sP1(sK32)
| ~ spl44_9
| ~ spl44_51 ),
inference(resolution,[],[f984,f120]) ).
fof(f120,plain,
! [X0] :
( r1(X0,sK28(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ( ! [X1] :
( ( p2(sK26(X1))
& ~ p2(sK27(X1))
& r1(sK26(X1),sK27(X1))
& r1(X1,sK26(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
& ~ p2(sK28(X0))
& r1(X0,sK28(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27,sK28])],[f57,f60,f59,f58]) ).
fof(f58,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK26(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK26(X1),X3) )
& r1(X1,sK26(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK26(X1),X3) )
=> ( ~ p2(sK27(X1))
& r1(sK26(X1),sK27(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ? [X4] :
( ~ p2(X4)
& r1(X0,X4) )
=> ( ~ p2(sK28(X0))
& r1(X0,sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,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) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f984,plain,
( ~ r1(sK32,sK28(sK32))
| ~ spl44_9
| ~ spl44_51 ),
inference(resolution,[],[f196,f825]) ).
fof(f825,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ r1(sK32,sK28(X0)) )
| ~ spl44_51 ),
inference(resolution,[],[f539,f121]) ).
fof(f121,plain,
! [X0] :
( ~ p2(sK28(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f539,plain,
( ! [X5] :
( p2(X5)
| ~ r1(sK32,X5) )
| ~ spl44_51 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f538,plain,
( spl44_51
<=> ! [X5] :
( ~ r1(sK32,X5)
| p2(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_51])]) ).
fof(f983,plain,
( ~ spl44_12
| ~ spl44_51 ),
inference(avatar_contradiction_clause,[],[f982]) ).
fof(f982,plain,
( $false
| ~ spl44_12
| ~ spl44_51 ),
inference(subsumption_resolution,[],[f980,f208]) ).
fof(f208,plain,
( sP0(sK32)
| ~ spl44_12 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl44_12
<=> sP0(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_12])]) ).
fof(f980,plain,
( ~ sP0(sK32)
| ~ spl44_12
| ~ spl44_51 ),
inference(resolution,[],[f976,f126]) ).
fof(f126,plain,
! [X0] :
( r1(X0,sK31(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,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])],[f63,f66,f65,f64]) ).
fof(f64,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(f65,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK29(X1),X3) )
=> ( ~ p2(sK30(X1))
& r1(sK29(X1),sK30(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ? [X4] :
( ~ p2(X4)
& r1(X0,X4) )
=> ( ~ p2(sK31(X0))
& r1(X0,sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f63,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,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f976,plain,
( ~ r1(sK32,sK31(sK32))
| ~ spl44_12
| ~ spl44_51 ),
inference(resolution,[],[f827,f208]) ).
fof(f827,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(sK32,sK31(X0)) )
| ~ spl44_51 ),
inference(resolution,[],[f539,f127]) ).
fof(f127,plain,
! [X0] :
( ~ p2(sK31(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f805,plain,
( ~ spl44_8
| ~ spl44_10
| ~ spl44_11
| ~ spl44_13
| ~ spl44_15 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f804,plain,
( $false
| ~ spl44_8
| ~ spl44_10
| ~ spl44_11
| ~ spl44_13
| ~ spl44_15 ),
inference(subsumption_resolution,[],[f803,f223]) ).
fof(f223,plain,
( r1(sK32,sK42)
| ~ spl44_15 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl44_15
<=> r1(sK32,sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_15])]) ).
fof(f803,plain,
( ~ r1(sK32,sK42)
| ~ spl44_8
| ~ spl44_10
| ~ spl44_11
| ~ spl44_13 ),
inference(resolution,[],[f800,f213]) ).
fof(f213,plain,
( r1(sK42,sK43)
| ~ spl44_13 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl44_13
<=> r1(sK42,sK43) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_13])]) ).
fof(f800,plain,
( ! [X0] :
( ~ r1(X0,sK43)
| ~ r1(sK32,X0) )
| ~ spl44_8
| ~ spl44_10
| ~ spl44_11 ),
inference(resolution,[],[f799,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.zOhdi15lhM/Vampire---4.8_24312',transitivity) ).
fof(f799,plain,
( ~ r1(sK32,sK43)
| ~ spl44_8
| ~ spl44_10
| ~ spl44_11 ),
inference(duplicate_literal_removal,[],[f797]) ).
fof(f797,plain,
( ~ r1(sK32,sK43)
| ~ r1(sK32,sK43)
| ~ spl44_8
| ~ spl44_10
| ~ spl44_11 ),
inference(resolution,[],[f796,f200]) ).
fof(f200,plain,
( ! [X15] :
( r1(X15,sK38(X15))
| ~ r1(sK32,X15) )
| ~ spl44_10 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl44_10
<=> ! [X15] :
( r1(X15,sK38(X15))
| ~ r1(sK32,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_10])]) ).
fof(f796,plain,
( ! [X0] :
( ~ r1(sK43,sK38(X0))
| ~ r1(sK32,X0) )
| ~ spl44_8
| ~ spl44_11 ),
inference(resolution,[],[f204,f192]) ).
fof(f192,plain,
( ! [X15] :
( p3(sK38(X15))
| ~ r1(sK32,X15) )
| ~ spl44_8 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl44_8
<=> ! [X15] :
( p3(sK38(X15))
| ~ r1(sK32,X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_8])]) ).
fof(f204,plain,
( ! [X23] :
( ~ p3(X23)
| ~ r1(sK43,X23) )
| ~ spl44_11 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl44_11
<=> ! [X23] :
( ~ p3(X23)
| ~ r1(sK43,X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl44_11])]) ).
fof(f795,plain,
( spl44_51
| ~ spl44_12 ),
inference(avatar_split_clause,[],[f794,f206,f538]) ).
fof(f794,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_12 ),
inference(duplicate_literal_removal,[],[f791]) ).
fof(f791,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK32,X0)
| ~ r1(sK32,X0)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_12 ),
inference(resolution,[],[f785,f155]) ).
fof(f155,plain,
! [X1] :
( r1(X1,sK33(X1))
| p2(X1)
| ~ r1(sK32,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,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] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(sK34,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK34,X9) )
& ~ p2(sK34) )
| sP3(sK34) )
& r1(sK32,sK34) )
| sP7(sK32) )
& ! [X11] :
( ( p1(sK35(X11))
& ~ p1(sK36(X11))
& r1(sK35(X11),sK36(X11))
& r1(X11,sK35(X11)) )
| p1(X11)
| ~ r1(sK32,X11) )
& ~ p1(sK37)
& r1(sK32,sK37)
& ( sP1(sK32)
| ! [X15] :
( ( p3(sK38(X15))
& r1(X15,sK38(X15)) )
| ~ r1(sK32,X15) ) )
& ! [X17] :
( ( p4(sK39(X17))
& ~ p4(sK40(X17))
& r1(sK39(X17),sK40(X17))
& r1(X17,sK39(X17)) )
| p4(X17)
| ~ r1(sK32,X17) )
& ~ p4(sK41)
& r1(sK32,sK41)
& ( sP0(sK32)
| ( ! [X23] :
( ~ p3(X23)
| ~ r1(sK43,X23) )
& r1(sK42,sK43)
& ~ p1(sK42)
& r1(sK32,sK42) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43])],[f68,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69]) ).
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] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP3(X5) )
& r1(X0,X5) )
| sP7(X0) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(X0,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(X0,X14) )
& ( sP1(X0)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(X0,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(X0,X20) )
& ( sP0(X0)
| ? [X21] :
( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(X21,X22) )
& ~ p1(X21)
& r1(X0,X21) ) ) )
=> ( ! [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] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP3(X5) )
& r1(sK32,X5) )
| sP7(sK32) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(sK32,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(sK32,X14) )
& ( sP1(sK32)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(sK32,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(sK32,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(sK32,X20) )
& ( sP0(sK32)
| ? [X21] :
( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(X21,X22) )
& ~ p1(X21)
& r1(sK32,X21) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,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(f71,plain,
( ? [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP3(X5) )
& r1(sK32,X5) )
=> ( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(sK34,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(sK34,X9) )
& ~ p2(sK34) )
| sP3(sK34) )
& r1(sK32,sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
=> ( p1(sK35(X11))
& ? [X13] :
( ~ p1(X13)
& r1(sK35(X11),X13) )
& r1(X11,sK35(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X11] :
( ? [X13] :
( ~ p1(X13)
& r1(sK35(X11),X13) )
=> ( ~ p1(sK36(X11))
& r1(sK35(X11),sK36(X11)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X14] :
( ~ p1(X14)
& r1(sK32,X14) )
=> ( ~ p1(sK37)
& r1(sK32,sK37) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
=> ( p3(sK38(X15))
& r1(X15,sK38(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
=> ( p4(sK39(X17))
& ? [X19] :
( ~ p4(X19)
& r1(sK39(X17),X19) )
& r1(X17,sK39(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X17] :
( ? [X19] :
( ~ p4(X19)
& r1(sK39(X17),X19) )
=> ( ~ p4(sK40(X17))
& r1(sK39(X17),sK40(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X20] :
( ~ p4(X20)
& r1(sK32,X20) )
=> ( ~ p4(sK41)
& r1(sK32,sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X21] :
( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(X21,X22) )
& ~ p1(X21)
& r1(sK32,X21) )
=> ( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(sK42,X22) )
& ~ p1(sK42)
& r1(sK32,sK42) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(sK42,X22) )
=> ( ! [X23] :
( ~ p3(X23)
| ~ r1(sK43,X23) )
& r1(sK42,sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f68,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] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(X5,X6) )
& ( ( ! [X9] :
( ~ p2(X9)
| ! [X10] :
( p2(X10)
| ~ r1(X9,X10) )
| ~ r1(X5,X9) )
& ~ p2(X5) )
| sP3(X5) )
& r1(X0,X5) )
| sP7(X0) )
& ! [X11] :
( ? [X12] :
( p1(X12)
& ? [X13] :
( ~ p1(X13)
& r1(X12,X13) )
& r1(X11,X12) )
| p1(X11)
| ~ r1(X0,X11) )
& ? [X14] :
( ~ p1(X14)
& r1(X0,X14) )
& ( sP1(X0)
| ! [X15] :
( ? [X16] :
( p3(X16)
& r1(X15,X16) )
| ~ r1(X0,X15) ) )
& ! [X17] :
( ? [X18] :
( p4(X18)
& ? [X19] :
( ~ p4(X19)
& r1(X18,X19) )
& r1(X17,X18) )
| p4(X17)
| ~ r1(X0,X17) )
& ? [X20] :
( ~ p4(X20)
& r1(X0,X20) )
& ( sP0(X0)
| ? [X21] :
( ? [X22] :
( ! [X23] :
( ~ p3(X23)
| ~ r1(X22,X23) )
& r1(X21,X22) )
& ~ p1(X21)
& r1(X0,X21) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,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] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| sP5(X6)
| sP6(X6)
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| sP3(X5) )
& r1(X0,X5) )
| sP7(X0) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( sP1(X0)
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( sP0(X0)
| ? [X62] :
( ? [X63] :
( ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
& r1(X62,X63) )
& ~ p1(X62)
& r1(X0,X62) ) ) ),
inference(definition_folding,[],[f8,f18,f17,f16,f15,f14,f13,f12,f11]) ).
fof(f13,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
! [X5] :
( ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) )
| ~ sP3(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f15,plain,
! [X16] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) )
| ~ sP4(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f16,plain,
! [X6] :
( ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ~ sP5(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f17,plain,
! [X6] :
( ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| sP4(X16) ) )
| ~ r1(X6,X16) )
| ~ sP6(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f18,plain,
! [X0] :
( ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| sP2(X0) ) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
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] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ? [X62] :
( ? [X63] :
( ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
& r1(X62,X63) )
& ~ p1(X62)
& r1(X0,X62) ) ) ),
inference(flattening,[],[f7]) ).
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] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ? [X62] :
( ? [X63] :
( ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
& r1(X62,X63) )
& ~ p1(X62)
& r1(X0,X62) ) ) ),
inference(ennf_transformation,[],[f6]) ).
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] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) ) )
& ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ! [X62] :
( ! [X63] :
( ~ ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| p1(X62)
| ~ r1(X0,X62) ) ) ),
inference(flattening,[],[f5]) ).
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] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) ) )
& ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ! [X62] :
( ! [X63] :
( ~ ! [X64] :
( ~ p3(X64)
| ~ r1(X63,X64) )
| ~ r1(X62,X63) )
| p1(X62)
| ~ r1(X0,X62) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,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] :
( ~ 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] :
( ~ p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(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] :
( ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,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] :
( ~ 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] :
( ~ p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(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] :
( ~ ! [X1] :
( ~ p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zOhdi15lhM/Vampire---4.8_24312',main) ).
fof(f785,plain,
( ! [X0,X1] :
( ~ r1(X1,sK33(X0))
| p2(X0)
| ~ r1(sK32,X0)
| ~ r1(sK32,X1) )
| ~ spl44_12 ),
inference(resolution,[],[f770,f158]) ).
fof(f770,plain,
( ! [X0] :
( ~ r1(sK32,sK33(X0))
| ~ r1(sK32,X0)
| p2(X0) )
| ~ spl44_12 ),
inference(resolution,[],[f751,f208]) ).
fof(f751,plain,
( ! [X0,X1] :
( ~ sP0(X1)
| ~ r1(sK32,X0)
| ~ r1(X1,sK33(X0))
| p2(X0) )
| ~ spl44_12 ),
inference(subsumption_resolution,[],[f750,f156]) ).
fof(f156,plain,
! [X1] :
( ~ p2(sK33(X1))
| p2(X1)
| ~ r1(sK32,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f750,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK32,X0)
| p2(sK33(X0))
| ~ r1(X1,sK33(X0))
| ~ sP0(X1) )
| ~ spl44_12 ),
inference(subsumption_resolution,[],[f734,f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ p2(sK30(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f734,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK32,X0)
| p2(sK30(sK33(X0)))
| p2(sK33(X0))
| ~ r1(X1,sK33(X0))
| ~ sP0(X1) )
| ~ spl44_12 ),
inference(resolution,[],[f656,f129]) ).
fof(f129,plain,
! [X0,X1] :
( r1(sK29(X1),sK30(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f656,plain,
( ! [X0,X1] :
( ~ r1(sK29(sK33(X0)),X1)
| p2(X0)
| ~ r1(sK32,X0)
| p2(X1) )
| ~ spl44_12 ),
inference(duplicate_literal_removal,[],[f653]) ).
fof(f653,plain,
( ! [X0,X1] :
( ~ r1(sK29(sK33(X0)),X1)
| p2(X0)
| ~ r1(sK32,X0)
| p2(X1)
| ~ r1(sK32,X0)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_12 ),
inference(resolution,[],[f585,f155]) ).
fof(f585,plain,
( ! [X2,X0,X1] :
( ~ r1(X2,sK33(X1))
| ~ r1(sK29(sK33(X1)),X0)
| p2(X1)
| ~ r1(sK32,X1)
| p2(X0)
| ~ r1(sK32,X2) )
| ~ spl44_12 ),
inference(resolution,[],[f266,f158]) ).
fof(f266,plain,
( ! [X0,X1] :
( ~ r1(sK32,sK33(X0))
| p2(X1)
| ~ r1(sK29(sK33(X0)),X1)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_12 ),
inference(subsumption_resolution,[],[f265,f156]) ).
fof(f265,plain,
( ! [X0,X1] :
( ~ r1(sK32,sK33(X0))
| p2(sK33(X0))
| p2(X1)
| ~ r1(sK29(sK33(X0)),X1)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_12 ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f264,plain,
( ! [X0,X1] :
( ~ r1(sK32,sK33(X0))
| p2(sK33(X0))
| p2(sK33(X0))
| p2(X1)
| ~ r1(sK29(sK33(X0)),X1)
| ~ r1(sK32,sK33(X0))
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_12 ),
inference(resolution,[],[f263,f244]) ).
fof(f244,plain,
( ! [X2,X0,X1] :
( ~ r1(sK33(X2),sK29(X0))
| p2(X0)
| p2(X1)
| ~ r1(sK29(X0),X1)
| ~ r1(sK32,X0)
| p2(X2)
| ~ r1(sK32,X2) )
| ~ spl44_12 ),
inference(resolution,[],[f241,f157]) ).
fof(f157,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK33(X1),X3)
| p2(X1)
| ~ r1(sK32,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f241,plain,
( ! [X0] :
( p2(sK29(X0))
| ~ r1(sK32,X0)
| p2(X0) )
| ~ spl44_12 ),
inference(resolution,[],[f131,f208]) ).
fof(f131,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK29(X1)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f263,plain,
( ! [X0] :
( r1(X0,sK29(X0))
| ~ r1(sK32,X0)
| p2(X0) )
| ~ spl44_12 ),
inference(resolution,[],[f128,f208]) ).
fof(f128,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK29(X1)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f781,plain,
( spl44_51
| ~ spl44_9 ),
inference(avatar_split_clause,[],[f780,f194,f538]) ).
fof(f780,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_9 ),
inference(duplicate_literal_removal,[],[f777]) ).
fof(f777,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK32,X0)
| ~ r1(sK32,X0)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_9 ),
inference(resolution,[],[f728,f155]) ).
fof(f728,plain,
( ! [X0,X1] :
( ~ r1(X1,sK33(X0))
| p2(X0)
| ~ r1(sK32,X0)
| ~ r1(sK32,X1) )
| ~ spl44_9 ),
inference(resolution,[],[f722,f158]) ).
fof(f722,plain,
( ! [X0] :
( ~ r1(sK32,sK33(X0))
| ~ r1(sK32,X0)
| p2(X0) )
| ~ spl44_9 ),
inference(resolution,[],[f674,f196]) ).
fof(f674,plain,
( ! [X0,X1] :
( ~ sP1(X1)
| ~ r1(sK32,X0)
| ~ r1(X1,sK33(X0))
| p2(X0) )
| ~ spl44_9 ),
inference(subsumption_resolution,[],[f673,f156]) ).
fof(f673,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK32,X0)
| p2(sK33(X0))
| ~ r1(X1,sK33(X0))
| ~ sP1(X1) )
| ~ spl44_9 ),
inference(subsumption_resolution,[],[f657,f124]) ).
fof(f124,plain,
! [X0,X1] :
( ~ p2(sK27(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f657,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK32,X0)
| p2(sK27(sK33(X0)))
| p2(sK33(X0))
| ~ r1(X1,sK33(X0))
| ~ sP1(X1) )
| ~ spl44_9 ),
inference(resolution,[],[f650,f123]) ).
fof(f123,plain,
! [X0,X1] :
( r1(sK26(X1),sK27(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f650,plain,
( ! [X0,X1] :
( ~ r1(sK26(sK33(X0)),X1)
| p2(X0)
| ~ r1(sK32,X0)
| p2(X1) )
| ~ spl44_9 ),
inference(duplicate_literal_removal,[],[f647]) ).
fof(f647,plain,
( ! [X0,X1] :
( ~ r1(sK26(sK33(X0)),X1)
| p2(X0)
| ~ r1(sK32,X0)
| p2(X1)
| ~ r1(sK32,X0)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_9 ),
inference(resolution,[],[f579,f155]) ).
fof(f579,plain,
( ! [X2,X0,X1] :
( ~ r1(X2,sK33(X1))
| ~ r1(sK26(sK33(X1)),X0)
| p2(X1)
| ~ r1(sK32,X1)
| p2(X0)
| ~ r1(sK32,X2) )
| ~ spl44_9 ),
inference(resolution,[],[f262,f158]) ).
fof(f262,plain,
( ! [X0,X1] :
( ~ r1(sK32,sK33(X0))
| p2(X1)
| ~ r1(sK26(sK33(X0)),X1)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_9 ),
inference(subsumption_resolution,[],[f261,f156]) ).
fof(f261,plain,
( ! [X0,X1] :
( ~ r1(sK32,sK33(X0))
| p2(sK33(X0))
| p2(X1)
| ~ r1(sK26(sK33(X0)),X1)
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_9 ),
inference(duplicate_literal_removal,[],[f260]) ).
fof(f260,plain,
( ! [X0,X1] :
( ~ r1(sK32,sK33(X0))
| p2(sK33(X0))
| p2(sK33(X0))
| p2(X1)
| ~ r1(sK26(sK33(X0)),X1)
| ~ r1(sK32,sK33(X0))
| p2(X0)
| ~ r1(sK32,X0) )
| ~ spl44_9 ),
inference(resolution,[],[f259,f239]) ).
fof(f239,plain,
( ! [X2,X0,X1] :
( ~ r1(sK33(X2),sK26(X0))
| p2(X0)
| p2(X1)
| ~ r1(sK26(X0),X1)
| ~ r1(sK32,X0)
| p2(X2)
| ~ r1(sK32,X2) )
| ~ spl44_9 ),
inference(resolution,[],[f236,f157]) ).
fof(f236,plain,
( ! [X0] :
( p2(sK26(X0))
| ~ r1(sK32,X0)
| p2(X0) )
| ~ spl44_9 ),
inference(resolution,[],[f125,f196]) ).
fof(f125,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK26(X1)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f259,plain,
( ! [X0] :
( r1(X0,sK26(X0))
| ~ r1(sK32,X0)
| p2(X0) )
| ~ spl44_9 ),
inference(resolution,[],[f122,f196]) ).
fof(f122,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK26(X1)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f224,plain,
( spl44_15
| spl44_12 ),
inference(avatar_split_clause,[],[f132,f206,f221]) ).
fof(f132,plain,
( sP0(sK32)
| r1(sK32,sK42) ),
inference(cnf_transformation,[],[f81]) ).
fof(f214,plain,
( spl44_13
| spl44_12 ),
inference(avatar_split_clause,[],[f134,f206,f211]) ).
fof(f134,plain,
( sP0(sK32)
| r1(sK42,sK43) ),
inference(cnf_transformation,[],[f81]) ).
fof(f209,plain,
( spl44_11
| spl44_12 ),
inference(avatar_split_clause,[],[f135,f206,f203]) ).
fof(f135,plain,
! [X23] :
( sP0(sK32)
| ~ p3(X23)
| ~ r1(sK43,X23) ),
inference(cnf_transformation,[],[f81]) ).
fof(f201,plain,
( spl44_10
| spl44_9 ),
inference(avatar_split_clause,[],[f142,f194,f199]) ).
fof(f142,plain,
! [X15] :
( sP1(sK32)
| r1(X15,sK38(X15))
| ~ r1(sK32,X15) ),
inference(cnf_transformation,[],[f81]) ).
fof(f197,plain,
( spl44_8
| spl44_9 ),
inference(avatar_split_clause,[],[f143,f194,f191]) ).
fof(f143,plain,
! [X15] :
( sP1(sK32)
| p3(sK38(X15))
| ~ r1(sK32,X15) ),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL676+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n024.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 13:12:05 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.zOhdi15lhM/Vampire---4.8_24312
% 0.59/0.75 % (24617)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.75 % (24611)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.75 % (24614)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.75 % (24615)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.75 % (24616)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.75 % (24612)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.75 % (24613)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (24618)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.77 % (24615)Instruction limit reached!
% 0.59/0.77 % (24615)------------------------------
% 0.59/0.77 % (24615)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (24615)Termination reason: Unknown
% 0.59/0.77 % (24615)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (24615)Memory used [KB]: 1737
% 0.59/0.77 % (24615)Time elapsed: 0.021 s
% 0.59/0.77 % (24615)Instructions burned: 34 (million)
% 0.59/0.77 % (24615)------------------------------
% 0.59/0.77 % (24615)------------------------------
% 0.59/0.77 % (24611)Instruction limit reached!
% 0.59/0.77 % (24611)------------------------------
% 0.59/0.77 % (24611)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (24611)Termination reason: Unknown
% 0.59/0.77 % (24611)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (24611)Memory used [KB]: 1694
% 0.59/0.77 % (24611)Time elapsed: 0.023 s
% 0.59/0.77 % (24611)Instructions burned: 35 (million)
% 0.59/0.77 % (24611)------------------------------
% 0.59/0.77 % (24611)------------------------------
% 0.59/0.77 % (24614)Instruction limit reached!
% 0.59/0.77 % (24614)------------------------------
% 0.59/0.77 % (24614)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (24614)Termination reason: Unknown
% 0.59/0.77 % (24614)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (24614)Memory used [KB]: 1481
% 0.59/0.77 % (24614)Time elapsed: 0.024 s
% 0.59/0.77 % (24614)Instructions burned: 34 (million)
% 0.59/0.77 % (24614)------------------------------
% 0.59/0.77 % (24614)------------------------------
% 0.59/0.78 % (24633)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.78 % (24635)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.78 % (24636)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.78 % (24616)Instruction limit reached!
% 0.59/0.78 % (24616)------------------------------
% 0.59/0.78 % (24616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (24616)Termination reason: Unknown
% 0.59/0.78 % (24616)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (24616)Memory used [KB]: 2317
% 0.59/0.78 % (24616)Time elapsed: 0.029 s
% 0.59/0.78 % (24616)Instructions burned: 45 (million)
% 0.59/0.78 % (24616)------------------------------
% 0.59/0.78 % (24616)------------------------------
% 0.59/0.78 % (24617)Instruction limit reached!
% 0.59/0.78 % (24617)------------------------------
% 0.59/0.78 % (24617)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (24617)Termination reason: Unknown
% 0.59/0.78 % (24617)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (24617)Memory used [KB]: 2865
% 0.59/0.78 % (24617)Time elapsed: 0.031 s
% 0.59/0.78 % (24617)Instructions burned: 83 (million)
% 0.59/0.78 % (24617)------------------------------
% 0.59/0.78 % (24617)------------------------------
% 0.59/0.78 % (24612)Instruction limit reached!
% 0.59/0.78 % (24612)------------------------------
% 0.59/0.78 % (24612)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (24612)Termination reason: Unknown
% 0.59/0.78 % (24612)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (24612)Memory used [KB]: 1708
% 0.59/0.78 % (24612)Time elapsed: 0.031 s
% 0.59/0.78 % (24612)Instructions burned: 51 (million)
% 0.59/0.78 % (24612)------------------------------
% 0.59/0.78 % (24612)------------------------------
% 0.59/0.78 % (24618)Instruction limit reached!
% 0.59/0.78 % (24618)------------------------------
% 0.59/0.78 % (24618)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (24618)Termination reason: Unknown
% 0.59/0.78 % (24618)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (24618)Memory used [KB]: 1598
% 0.59/0.78 % (24618)Time elapsed: 0.033 s
% 0.59/0.78 % (24618)Instructions burned: 57 (million)
% 0.59/0.78 % (24618)------------------------------
% 0.59/0.78 % (24618)------------------------------
% 0.59/0.78 % (24641)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.78 % (24643)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.59/0.78 % (24644)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.59/0.79 % (24613)First to succeed.
% 0.59/0.79 % (24645)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.59/0.79 % (24613)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24530"
% 0.59/0.79 % (24613)Refutation found. Thanks to Tanya!
% 0.59/0.79 % SZS status Theorem for Vampire---4
% 0.59/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.79 % (24613)------------------------------
% 0.59/0.79 % (24613)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (24613)Termination reason: Refutation
% 0.59/0.79
% 0.59/0.79 % (24613)Memory used [KB]: 1590
% 0.59/0.79 % (24613)Time elapsed: 0.041 s
% 0.59/0.79 % (24613)Instructions burned: 64 (million)
% 0.59/0.79 % (24530)Success in time 0.402 s
% 0.59/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------