%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL656+1.005 : TPTP v8.2.0. 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 : n026.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 : Tue May 21 00:17:53 EDT 2024
% Result : Theorem 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 99 ( 8 unt; 0 def)
% Number of atoms : 1436 ( 0 equ)
% Maximal formula atoms : 129 ( 14 avg)
% Number of connectives : 2382 (1045 ~; 781 |; 546 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 385 ( 333 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1390,plain,
$false,
inference(avatar_sat_refutation,[],[f419,f426,f501,f826,f907,f1389]) ).
fof(f1389,plain,
( ~ spl23_35
| ~ spl23_47
| spl23_92
| ~ spl23_93 ),
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1388,plain,
( $false
| ~ spl23_35
| ~ spl23_47
| spl23_92
| ~ spl23_93 ),
inference(subsumption_resolution,[],[f1387,f689]) ).
fof(f689,plain,
( sP2(sK15(sK22))
| ~ spl23_35 ),
inference(resolution,[],[f425,f67]) ).
fof(f67,plain,
! [X0] :
( ~ sP11(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& sP10(X0)
& sP9(X0)
& sP8(X0)
& sP7(X0)
& sP6(X0)
& sP5(X0)
& sP3(X0)
& sP2(X0)
& sP1(X0)
& sP0(X0)
& sP4(X0) )
| ~ sP11(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& sP10(X5)
& sP9(X5)
& sP8(X5)
& sP7(X5)
& sP6(X5)
& sP5(X5)
& sP3(X5)
& sP2(X5)
& sP1(X5)
& sP0(X5)
& sP4(X5) )
| ~ sP11(X5) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& sP10(X5)
& sP9(X5)
& sP8(X5)
& sP7(X5)
& sP6(X5)
& sP5(X5)
& sP3(X5)
& sP2(X5)
& sP1(X5)
& sP0(X5)
& sP4(X5) )
| ~ sP11(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f425,plain,
( sP11(sK15(sK22))
| ~ spl23_35 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl23_35
<=> sP11(sK15(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_35])]) ).
fof(f1387,plain,
( ~ sP2(sK15(sK22))
| ~ spl23_35
| ~ spl23_47
| spl23_92
| ~ spl23_93 ),
inference(subsumption_resolution,[],[f1386,f724]) ).
fof(f724,plain,
( p101(sK15(sK22))
| ~ spl23_93 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f722,plain,
( spl23_93
<=> p101(sK15(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_93])]) ).
fof(f1386,plain,
( ~ p101(sK15(sK22))
| ~ sP2(sK15(sK22))
| ~ spl23_35
| ~ spl23_47
| spl23_92
| ~ spl23_93 ),
inference(subsumption_resolution,[],[f1385,f718]) ).
fof(f718,plain,
( ~ p102(sK15(sK22))
| spl23_92 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f717,plain,
( spl23_92
<=> p102(sK15(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_92])]) ).
fof(f1385,plain,
( p102(sK15(sK22))
| ~ p101(sK15(sK22))
| ~ sP2(sK15(sK22))
| ~ spl23_35
| ~ spl23_47
| spl23_92
| ~ spl23_93 ),
inference(resolution,[],[f1384,f107]) ).
fof(f107,plain,
! [X0] :
( ~ p3(sK17(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( p102(sK16(X0))
& ~ p103(sK16(X0))
& p3(sK16(X0))
& r1(X0,sK16(X0))
& p102(sK17(X0))
& ~ p103(sK17(X0))
& ~ p3(sK17(X0))
& r1(X0,sK17(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f47,f49,f48]) ).
fof(f48,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
=> ( p102(sK16(X0))
& ~ p103(sK16(X0))
& p3(sK16(X0))
& r1(X0,sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X2] :
( p102(X2)
& ~ p103(X2)
& ~ p3(X2)
& r1(X0,X2) )
=> ( p102(sK17(X0))
& ~ p103(sK17(X0))
& ~ p3(sK17(X0))
& r1(X0,sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( ? [X1] :
( p102(X1)
& ~ p103(X1)
& p3(X1)
& r1(X0,X1) )
& ? [X2] :
( p102(X2)
& ~ p103(X2)
& ~ p3(X2)
& r1(X0,X2) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X5] :
( ~ p101(X5)
| p102(X5)
| ( ? [X20] :
( p102(X20)
& ~ p103(X20)
& p3(X20)
& r1(X5,X20) )
& ? [X21] :
( p102(X21)
& ~ p103(X21)
& ~ p3(X21)
& r1(X5,X21) ) )
| ~ sP2(X5) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X5] :
( ~ p101(X5)
| p102(X5)
| ( ? [X20] :
( p102(X20)
& ~ p103(X20)
& p3(X20)
& r1(X5,X20) )
& ? [X21] :
( p102(X21)
& ~ p103(X21)
& ~ p3(X21)
& r1(X5,X21) ) )
| ~ sP2(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1384,plain,
( p3(sK17(sK15(sK22)))
| ~ spl23_35
| ~ spl23_47
| spl23_92
| ~ spl23_93 ),
inference(subsumption_resolution,[],[f1383,f689]) ).
fof(f1383,plain,
( p3(sK17(sK15(sK22)))
| ~ sP2(sK15(sK22))
| ~ spl23_47
| spl23_92
| ~ spl23_93 ),
inference(subsumption_resolution,[],[f1382,f724]) ).
fof(f1382,plain,
( p3(sK17(sK15(sK22)))
| ~ p101(sK15(sK22))
| ~ sP2(sK15(sK22))
| ~ spl23_47
| spl23_92 ),
inference(subsumption_resolution,[],[f1377,f718]) ).
fof(f1377,plain,
( p3(sK17(sK15(sK22)))
| p102(sK15(sK22))
| ~ p101(sK15(sK22))
| ~ sP2(sK15(sK22))
| ~ spl23_47 ),
inference(resolution,[],[f500,f106]) ).
fof(f106,plain,
! [X0] :
( r1(X0,sK17(X0))
| p102(X0)
| ~ p101(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f500,plain,
( ! [X0] :
( ~ r1(sK15(sK22),X0)
| p3(X0) )
| ~ spl23_47 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f499,plain,
( spl23_47
<=> ! [X0] :
( ~ r1(sK15(sK22),X0)
| p3(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_47])]) ).
fof(f907,plain,
( ~ spl23_6
| ~ spl23_92 ),
inference(avatar_contradiction_clause,[],[f906]) ).
fof(f906,plain,
( $false
| ~ spl23_6
| ~ spl23_92 ),
inference(subsumption_resolution,[],[f905,f170]) ).
fof(f170,plain,
( sP3(sK22)
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl23_6
<=> sP3(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f905,plain,
( ~ sP3(sK22)
| ~ spl23_92 ),
inference(subsumption_resolution,[],[f904,f133]) ).
fof(f133,plain,
p100(sK22),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( p100(sK22)
& ~ p101(sK22)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP11(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK22,X1) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p3(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(sK22,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f61,f62]) ).
fof(f62,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP11(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p3(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X0,X6) ) )
=> ( p100(sK22)
& ~ p101(sK22)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP11(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK22,X1) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p3(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(sK22,X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP11(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p3(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(X0,X6) ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP11(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(definition_folding,[],[f8,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f9,plain,
! [X5] :
( ~ p103(X5)
| p104(X5)
| ( ? [X24] :
( p104(X24)
& ~ p105(X24)
& p5(X24)
& r1(X5,X24) )
& ? [X25] :
( p104(X25)
& ~ p105(X25)
& ~ p5(X25)
& r1(X5,X25) ) )
| ~ sP0(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X5] :
( ~ p102(X5)
| p103(X5)
| ( ? [X22] :
( p103(X22)
& ~ p104(X22)
& p4(X22)
& r1(X5,X22) )
& ? [X23] :
( p103(X23)
& ~ p104(X23)
& ~ p4(X23)
& r1(X5,X23) ) )
| ~ sP1(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
! [X5] :
( ~ p100(X5)
| p101(X5)
| ( ? [X18] :
( p101(X18)
& ~ p102(X18)
& p2(X18)
& r1(X5,X18) )
& ? [X19] :
( p101(X19)
& ~ p102(X19)
& ~ p2(X19)
& r1(X5,X19) ) )
| ~ sP3(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X5] :
( ~ p104(X5)
| p105(X5)
| ( ? [X26] :
( p105(X26)
& p6(X26)
& r1(X5,X26) )
& ? [X27] :
( p105(X27)
& ~ p6(X27)
& r1(X5,X27) ) )
| ~ sP4(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X5] :
( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) )
| ~ sP5(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X5] :
( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) )
| ~ sP6(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X5] :
( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) )
| ~ sP7(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X5] :
( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) )
| ~ sP8(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X5] :
( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) )
| ~ sP9(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X5] :
( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) )
| ~ sP10(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f8,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& ( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) ) )
& ( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) ) )
& ( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) ) )
& ( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) ) )
& ( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) ) )
& ( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) ) )
& ( ~ p100(X5)
| p101(X5)
| ( ? [X18] :
( p101(X18)
& ~ p102(X18)
& p2(X18)
& r1(X5,X18) )
& ? [X19] :
( p101(X19)
& ~ p102(X19)
& ~ p2(X19)
& r1(X5,X19) ) ) )
& ( ~ p101(X5)
| p102(X5)
| ( ? [X20] :
( p102(X20)
& ~ p103(X20)
& p3(X20)
& r1(X5,X20) )
& ? [X21] :
( p102(X21)
& ~ p103(X21)
& ~ p3(X21)
& r1(X5,X21) ) ) )
& ( ~ p102(X5)
| p103(X5)
| ( ? [X22] :
( p103(X22)
& ~ p104(X22)
& p4(X22)
& r1(X5,X22) )
& ? [X23] :
( p103(X23)
& ~ p104(X23)
& ~ p4(X23)
& r1(X5,X23) ) ) )
& ( ~ p103(X5)
| p104(X5)
| ( ? [X24] :
( p104(X24)
& ~ p105(X24)
& p5(X24)
& r1(X5,X24) )
& ? [X25] :
( p104(X25)
& ~ p105(X25)
& ~ p5(X25)
& r1(X5,X25) ) ) )
& ( ~ p104(X5)
| p105(X5)
| ( ? [X26] :
( p105(X26)
& p6(X26)
& r1(X5,X26) )
& ? [X27] :
( p105(X27)
& ~ p6(X27)
& r1(X5,X27) ) ) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& ( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) ) )
& ( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) ) )
& ( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) ) )
& ( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) ) )
& ( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) ) )
& ( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) ) )
& ( ~ p100(X5)
| p101(X5)
| ( ? [X18] :
( p101(X18)
& ~ p102(X18)
& p2(X18)
& r1(X5,X18) )
& ? [X19] :
( p101(X19)
& ~ p102(X19)
& ~ p2(X19)
& r1(X5,X19) ) ) )
& ( ~ p101(X5)
| p102(X5)
| ( ? [X20] :
( p102(X20)
& ~ p103(X20)
& p3(X20)
& r1(X5,X20) )
& ? [X21] :
( p102(X21)
& ~ p103(X21)
& ~ p3(X21)
& r1(X5,X21) ) ) )
& ( ~ p102(X5)
| p103(X5)
| ( ? [X22] :
( p103(X22)
& ~ p104(X22)
& p4(X22)
& r1(X5,X22) )
& ? [X23] :
( p103(X23)
& ~ p104(X23)
& ~ p4(X23)
& r1(X5,X23) ) ) )
& ( ~ p103(X5)
| p104(X5)
| ( ? [X24] :
( p104(X24)
& ~ p105(X24)
& p5(X24)
& r1(X5,X24) )
& ? [X25] :
( p104(X25)
& ~ p105(X25)
& ~ p5(X25)
& r1(X5,X25) ) ) )
& ( ~ p104(X5)
| p105(X5)
| ( ? [X26] :
( p105(X26)
& p6(X26)
& r1(X5,X26) )
& ? [X27] :
( p105(X27)
& ~ p6(X27)
& r1(X5,X27) ) ) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& ( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) ) )
& ( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) ) )
& ( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) ) )
& ( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) ) )
& ( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) ) )
& ( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) ) )
& ( ~ ( p100(X5)
& ~ p101(X5) )
| ( ~ ! [X18] :
( ~ ( p101(X18)
& ~ p102(X18)
& p2(X18) )
| ~ r1(X5,X18) )
& ~ ! [X19] :
( ~ ( p101(X19)
& ~ p102(X19)
& ~ p2(X19) )
| ~ r1(X5,X19) ) ) )
& ( ~ ( p101(X5)
& ~ p102(X5) )
| ( ~ ! [X20] :
( ~ ( p102(X20)
& ~ p103(X20)
& p3(X20) )
| ~ r1(X5,X20) )
& ~ ! [X21] :
( ~ ( p102(X21)
& ~ p103(X21)
& ~ p3(X21) )
| ~ r1(X5,X21) ) ) )
& ( ~ ( p102(X5)
& ~ p103(X5) )
| ( ~ ! [X22] :
( ~ ( p103(X22)
& ~ p104(X22)
& p4(X22) )
| ~ r1(X5,X22) )
& ~ ! [X23] :
( ~ ( p103(X23)
& ~ p104(X23)
& ~ p4(X23) )
| ~ r1(X5,X23) ) ) )
& ( ~ ( p103(X5)
& ~ p104(X5) )
| ( ~ ! [X24] :
( ~ ( p104(X24)
& ~ p105(X24)
& p5(X24) )
| ~ r1(X5,X24) )
& ~ ! [X25] :
( ~ ( p104(X25)
& ~ p105(X25)
& ~ p5(X25) )
| ~ r1(X5,X25) ) ) )
& ( ~ ( p104(X5)
& ~ p105(X5) )
| ( ~ ! [X26] :
( ~ ( p105(X26)
& p6(X26) )
| ~ r1(X5,X26) )
& ~ ! [X27] :
( ~ ( p105(X27)
& ~ p6(X27) )
| ~ r1(X5,X27) ) ) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& ( ~ p106(X5)
| p105(X5) )
& ( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) ) )
& ( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) ) )
& ( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) ) )
& ( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) ) )
& ( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) ) )
& ( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) ) )
& ( ~ ( p100(X5)
& ~ p101(X5) )
| ( ~ ! [X18] :
( ~ ( p101(X18)
& ~ p102(X18)
& p2(X18) )
| ~ r1(X5,X18) )
& ~ ! [X19] :
( ~ ( p101(X19)
& ~ p102(X19)
& ~ p2(X19) )
| ~ r1(X5,X19) ) ) )
& ( ~ ( p101(X5)
& ~ p102(X5) )
| ( ~ ! [X20] :
( ~ ( p102(X20)
& ~ p103(X20)
& p3(X20) )
| ~ r1(X5,X20) )
& ~ ! [X21] :
( ~ ( p102(X21)
& ~ p103(X21)
& ~ p3(X21) )
| ~ r1(X5,X21) ) ) )
& ( ~ ( p102(X5)
& ~ p103(X5) )
| ( ~ ! [X22] :
( ~ ( p103(X22)
& ~ p104(X22)
& p4(X22) )
| ~ r1(X5,X22) )
& ~ ! [X23] :
( ~ ( p103(X23)
& ~ p104(X23)
& ~ p4(X23) )
| ~ r1(X5,X23) ) ) )
& ( ~ ( p103(X5)
& ~ p104(X5) )
| ( ~ ! [X24] :
( ~ ( p104(X24)
& ~ p105(X24)
& p5(X24) )
| ~ r1(X5,X24) )
& ~ ! [X25] :
( ~ ( p104(X25)
& ~ p105(X25)
& ~ p5(X25) )
| ~ r1(X5,X25) ) ) )
& ( ~ ( p104(X5)
& ~ p105(X5) )
| ( ~ ! [X26] :
( ~ ( p105(X26)
& ~ p106(X26)
& p6(X26) )
| ~ r1(X5,X26) )
& ~ ! [X27] :
( ~ ( p105(X27)
& ~ p106(X27)
& ~ p6(X27) )
| ~ r1(X5,X27) ) ) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& ( ~ p106(X5)
| p105(X5) )
& ( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) ) )
& ( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) ) )
& ( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) ) )
& ( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) ) )
& ( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) ) )
& ( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) ) )
& ( ~ ( p100(X5)
& ~ p101(X5) )
| ( ~ ! [X18] :
( ~ ( p101(X18)
& ~ p102(X18)
& p2(X18) )
| ~ r1(X5,X18) )
& ~ ! [X19] :
( ~ ( p101(X19)
& ~ p102(X19)
& ~ p2(X19) )
| ~ r1(X5,X19) ) ) )
& ( ~ ( p101(X5)
& ~ p102(X5) )
| ( ~ ! [X20] :
( ~ ( p102(X20)
& ~ p103(X20)
& p3(X20) )
| ~ r1(X5,X20) )
& ~ ! [X21] :
( ~ ( p102(X21)
& ~ p103(X21)
& ~ p3(X21) )
| ~ r1(X5,X21) ) ) )
& ( ~ ( p102(X5)
& ~ p103(X5) )
| ( ~ ! [X22] :
( ~ ( p103(X22)
& ~ p104(X22)
& p4(X22) )
| ~ r1(X5,X22) )
& ~ ! [X23] :
( ~ ( p103(X23)
& ~ p104(X23)
& ~ p4(X23) )
| ~ r1(X5,X23) ) ) )
& ( ~ ( p103(X5)
& ~ p104(X5) )
| ( ~ ! [X24] :
( ~ ( p104(X24)
& ~ p105(X24)
& p5(X24) )
| ~ r1(X5,X24) )
& ~ ! [X25] :
( ~ ( p104(X25)
& ~ p105(X25)
& ~ p5(X25) )
| ~ r1(X5,X25) ) ) )
& ( ~ ( p104(X5)
& ~ p105(X5) )
| ( ~ ! [X26] :
( ~ ( p105(X26)
& ~ p106(X26)
& p6(X26) )
| ~ r1(X5,X26) )
& ~ ! [X27] :
( ~ ( p105(X27)
& ~ p106(X27)
& ~ p6(X27) )
| ~ r1(X5,X27) ) ) ) )
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) )
| ~ ! [X28] :
( ! [X29] :
( ! [X30] :
( ! [X31] :
( ! [X32] :
( p3(X32)
| ~ r1(X31,X32) )
| ~ r1(X30,X31) )
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| ~ r1(X0,X28) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( ( ( ~ p101(X1)
| p100(X1) )
& ( ~ p102(X1)
| p101(X1) )
& ( ~ p103(X1)
| p102(X1) )
& ( ~ p104(X1)
| p103(X1) )
& ( ~ p105(X1)
| p104(X1) )
& ( ~ p106(X1)
| p105(X1) )
& ( ~ p100(X1)
| ( ( ~ p1(X1)
| ! [X0] :
( ~ p100(X0)
| p1(X0)
| ~ r1(X1,X0) ) )
& ( p1(X1)
| ! [X0] :
( ~ p100(X0)
| ~ p1(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p101(X1)
| ( ( ~ p2(X1)
| ! [X0] :
( ~ p101(X0)
| p2(X0)
| ~ r1(X1,X0) ) )
& ( p2(X1)
| ! [X0] :
( ~ p101(X0)
| ~ p2(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p102(X1)
| ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| p3(X0)
| ~ r1(X1,X0) ) )
& ( p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p103(X1)
| ( ( ~ p4(X1)
| ! [X0] :
( ~ p103(X0)
| p4(X0)
| ~ r1(X1,X0) ) )
& ( p4(X1)
| ! [X0] :
( ~ p103(X0)
| ~ p4(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p104(X1)
| ( ( ~ p5(X1)
| ! [X0] :
( ~ p104(X0)
| p5(X0)
| ~ r1(X1,X0) ) )
& ( p5(X1)
| ! [X0] :
( ~ p104(X0)
| ~ p5(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ p105(X1)
| ( ( ~ p6(X1)
| ! [X0] :
( ~ p105(X0)
| p6(X0)
| ~ r1(X1,X0) ) )
& ( p6(X1)
| ! [X0] :
( ~ p105(X0)
| ~ p6(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p101(X1)
& ~ p102(X1) )
| ( ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p102(X0)
& ~ p103(X0)
& ~ p3(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p102(X1)
& ~ p103(X1) )
| ( ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& p4(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p103(X0)
& ~ p104(X0)
& ~ p4(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& p5(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p104(X0)
& ~ p105(X0)
& ~ p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ ( p104(X1)
& ~ p105(X1) )
| ( ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( p105(X0)
& ~ p106(X0)
& ~ p6(X0) )
| ~ r1(X1,X0) ) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f904,plain,
( ~ p100(sK22)
| ~ sP3(sK22)
| ~ spl23_92 ),
inference(subsumption_resolution,[],[f903,f132]) ).
fof(f132,plain,
~ p101(sK22),
inference(cnf_transformation,[],[f63]) ).
fof(f903,plain,
( p101(sK22)
| ~ p100(sK22)
| ~ sP3(sK22)
| ~ spl23_92 ),
inference(resolution,[],[f719,f100]) ).
fof(f100,plain,
! [X0] :
( ~ p102(sK15(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( p101(sK14(X0))
& ~ p102(sK14(X0))
& p2(sK14(X0))
& r1(X0,sK14(X0))
& p101(sK15(X0))
& ~ p102(sK15(X0))
& ~ p2(sK15(X0))
& r1(X0,sK15(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f42,f44,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
=> ( p101(sK14(X0))
& ~ p102(sK14(X0))
& p2(sK14(X0))
& r1(X0,sK14(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X2] :
( p101(X2)
& ~ p102(X2)
& ~ p2(X2)
& r1(X0,X2) )
=> ( p101(sK15(X0))
& ~ p102(sK15(X0))
& ~ p2(sK15(X0))
& r1(X0,sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
& ? [X2] :
( p101(X2)
& ~ p102(X2)
& ~ p2(X2)
& r1(X0,X2) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X5] :
( ~ p100(X5)
| p101(X5)
| ( ? [X18] :
( p101(X18)
& ~ p102(X18)
& p2(X18)
& r1(X5,X18) )
& ? [X19] :
( p101(X19)
& ~ p102(X19)
& ~ p2(X19)
& r1(X5,X19) ) )
| ~ sP3(X5) ),
inference(nnf_transformation,[],[f12]) ).
fof(f719,plain,
( p102(sK15(sK22))
| ~ spl23_92 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f826,plain,
( ~ spl23_6
| spl23_93 ),
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f825,plain,
( $false
| ~ spl23_6
| spl23_93 ),
inference(subsumption_resolution,[],[f824,f170]) ).
fof(f824,plain,
( ~ sP3(sK22)
| spl23_93 ),
inference(subsumption_resolution,[],[f823,f133]) ).
fof(f823,plain,
( ~ p100(sK22)
| ~ sP3(sK22)
| spl23_93 ),
inference(subsumption_resolution,[],[f822,f132]) ).
fof(f822,plain,
( p101(sK22)
| ~ p100(sK22)
| ~ sP3(sK22)
| spl23_93 ),
inference(resolution,[],[f723,f101]) ).
fof(f101,plain,
! [X0] :
( p101(sK15(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f723,plain,
( ~ p101(sK15(sK22))
| spl23_93 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f501,plain,
( ~ spl23_6
| spl23_47 ),
inference(avatar_split_clause,[],[f497,f499,f169]) ).
fof(f497,plain,
! [X0] :
( ~ r1(sK15(sK22),X0)
| p3(X0)
| ~ sP3(sK22) ),
inference(subsumption_resolution,[],[f496,f133]) ).
fof(f496,plain,
! [X0] :
( ~ r1(sK15(sK22),X0)
| p3(X0)
| ~ p100(sK22)
| ~ sP3(sK22) ),
inference(subsumption_resolution,[],[f240,f132]) ).
fof(f240,plain,
! [X0] :
( ~ r1(sK15(sK22),X0)
| p3(X0)
| p101(sK22)
| ~ p100(sK22)
| ~ sP3(sK22) ),
inference(resolution,[],[f225,f98]) ).
fof(f98,plain,
! [X0] :
( r1(X0,sK15(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f225,plain,
! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| p3(X1) ),
inference(resolution,[],[f214,f134]) ).
fof(f134,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p3(X2) ),
inference(resolution,[],[f135,f134]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK22,X3)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X0,X1)
| p3(X1) ),
inference(resolution,[],[f130,f134]) ).
fof(f130,plain,
! [X10,X8,X6,X9,X7] :
( ~ r1(sK22,X6)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| p3(X10) ),
inference(cnf_transformation,[],[f63]) ).
fof(f426,plain,
( ~ spl23_6
| spl23_35 ),
inference(avatar_split_clause,[],[f421,f423,f169]) ).
fof(f421,plain,
( sP11(sK15(sK22))
| ~ sP3(sK22) ),
inference(subsumption_resolution,[],[f420,f133]) ).
fof(f420,plain,
( sP11(sK15(sK22))
| ~ p100(sK22)
| ~ sP3(sK22) ),
inference(subsumption_resolution,[],[f306,f132]) ).
fof(f306,plain,
( sP11(sK15(sK22))
| p101(sK22)
| ~ p100(sK22)
| ~ sP3(sK22) ),
inference(resolution,[],[f291,f98]) ).
fof(f291,plain,
! [X0] :
( ~ r1(sK22,X0)
| sP11(X0) ),
inference(resolution,[],[f280,f134]) ).
fof(f280,plain,
! [X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| sP11(X1) ),
inference(resolution,[],[f269,f134]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP11(X2) ),
inference(resolution,[],[f258,f134]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK22,X3)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X0,X1)
| sP11(X1) ),
inference(resolution,[],[f131,f134]) ).
fof(f131,plain,
! [X2,X3,X1,X4,X5] :
( ~ r1(sK22,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| sP11(X5) ),
inference(cnf_transformation,[],[f63]) ).
fof(f419,plain,
spl23_6,
inference(avatar_split_clause,[],[f317,f169]) ).
fof(f317,plain,
sP3(sK22),
inference(resolution,[],[f302,f68]) ).
fof(f68,plain,
! [X0] :
( ~ sP11(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f302,plain,
sP11(sK22),
inference(resolution,[],[f291,f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : LCL656+1.005 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15 % 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
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 03:14:38 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37 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/benchmark/theBenchmark.p
% 0.56/0.72 % (27541)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.72 % (27540)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.72 % (27536)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.72 % (27537)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.72 % (27542)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.72 % (27540)Refutation not found, incomplete strategy% (27540)------------------------------
% 0.56/0.72 % (27540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.72 % (27540)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.72
% 0.56/0.72 % (27540)Memory used [KB]: 1227
% 0.56/0.72 % (27540)Time elapsed: 0.006 s
% 0.56/0.72 % (27540)Instructions burned: 8 (million)
% 0.56/0.72 % (27540)------------------------------
% 0.56/0.72 % (27540)------------------------------
% 0.56/0.72 % (27543)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.73 % (27541)First to succeed.
% 0.56/0.73 % (27544)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 theBenchmark for (2996ds/55Mi)
% 0.56/0.73 % (27538)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.73 % (27541)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27535"
% 0.56/0.73 % (27543)Refutation not found, incomplete strategy% (27543)------------------------------
% 0.56/0.73 % (27543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (27543)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (27543)Memory used [KB]: 1131
% 0.56/0.73 % (27543)Time elapsed: 0.007 s
% 0.56/0.73 % (27543)Instructions burned: 5 (million)
% 0.56/0.73 % (27541)Refutation found. Thanks to Tanya!
% 0.56/0.73 % SZS status Theorem for theBenchmark
% 0.56/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.73 % (27541)------------------------------
% 0.56/0.73 % (27541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (27541)Termination reason: Refutation
% 0.56/0.73
% 0.56/0.73 % (27541)Memory used [KB]: 1558
% 0.56/0.73 % (27541)Time elapsed: 0.010 s
% 0.56/0.73 % (27541)Instructions burned: 33 (million)
% 0.56/0.73 % (27535)Success in time 0.356 s
% 0.56/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------