TSTP Solution File: LCL656+1.005 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL656+1.005 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 : Wed May 1 03:15:24 EDT 2024
% Result : Theorem 0.62s 0.77s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 61 ( 14 unt; 0 def)
% Number of atoms : 1305 ( 0 equ)
% Maximal formula atoms : 129 ( 21 avg)
% Number of connectives : 2210 ( 966 ~; 693 |; 546 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 373 ( 321 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f418,plain,
$false,
inference(subsumption_resolution,[],[f382,f411]) ).
fof(f411,plain,
~ r1(sK15(sK22),sK17(sK15(sK22))),
inference(unit_resulting_resolution,[],[f194,f197,f196,f134,f134,f134,f281,f136]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X1)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(sK22,X4)
| p102(X1)
| ~ p101(X1)
| ~ r1(X0,sK17(X1)) ),
inference(resolution,[],[f130,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(f130,plain,
! [X10,X8,X6,X9,X7] :
( p3(X10)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(sK22,X6) ),
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(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(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/sandbox2/tmp/tmp.1UDa9OQGUA/Vampire---4.8_15215',main) ).
fof(f281,plain,
sP2(sK15(sK22)),
inference(unit_resulting_resolution,[],[f253,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(f253,plain,
sP11(sK15(sK22)),
inference(unit_resulting_resolution,[],[f134,f134,f194,f184]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP11(X2) ),
inference(resolution,[],[f138,f134]) ).
fof(f138,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(f134,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.1UDa9OQGUA/Vampire---4.8_15215',reflexivity) ).
fof(f196,plain,
~ p102(sK15(sK22)),
inference(unit_resulting_resolution,[],[f132,f133,f143,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(f143,plain,
sP3(sK22),
inference(unit_resulting_resolution,[],[f137,f68]) ).
fof(f68,plain,
! [X0] :
( ~ sP11(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f137,plain,
sP11(sK22),
inference(unit_resulting_resolution,[],[f134,f134,f134,f134,f134,f131]) ).
fof(f133,plain,
p100(sK22),
inference(cnf_transformation,[],[f63]) ).
fof(f132,plain,
~ p101(sK22),
inference(cnf_transformation,[],[f63]) ).
fof(f197,plain,
p101(sK15(sK22)),
inference(unit_resulting_resolution,[],[f132,f133,f143,f101]) ).
fof(f101,plain,
! [X0] :
( p101(sK15(X0))
| p101(X0)
| ~ p100(X0)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f194,plain,
r1(sK22,sK15(sK22)),
inference(unit_resulting_resolution,[],[f133,f132,f143,f98]) ).
fof(f98,plain,
! [X0] :
( ~ sP3(X0)
| p101(X0)
| r1(X0,sK15(X0))
| ~ p100(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f382,plain,
r1(sK15(sK22),sK17(sK15(sK22))),
inference(unit_resulting_resolution,[],[f197,f196,f281,f106]) ).
fof(f106,plain,
! [X0] :
( ~ sP2(X0)
| p102(X0)
| r1(X0,sK17(X0))
| ~ p101(X0) ),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 16:37:33 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 This is a FOF_THM_RFO_NEQ problem
% 0.13/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.1UDa9OQGUA/Vampire---4.8_15215
% 0.56/0.76 % (15329)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.76 % (15327)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 (2995ds/34Mi)
% 0.56/0.76 % (15328)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 (2995ds/51Mi)
% 0.56/0.76 % (15332)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.56/0.76 % (15330)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.56/0.76 % (15331)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 (2995ds/34Mi)
% 0.56/0.76 % (15333)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 (2995ds/83Mi)
% 0.56/0.76 % (15334)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 (2995ds/56Mi)
% 0.62/0.76 % (15334)Refutation not found, incomplete strategy% (15334)------------------------------
% 0.62/0.76 % (15334)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.76 % (15334)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (15334)Memory used [KB]: 1130
% 0.62/0.76 % (15334)Time elapsed: 0.002 s
% 0.62/0.76 % (15334)Instructions burned: 5 (million)
% 0.62/0.76 % (15334)------------------------------
% 0.62/0.76 % (15334)------------------------------
% 0.62/0.77 % (15331)Refutation not found, incomplete strategy% (15331)------------------------------
% 0.62/0.77 % (15331)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77 % (15331)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77
% 0.62/0.77 % (15331)Memory used [KB]: 1227
% 0.62/0.77 % (15331)Time elapsed: 0.003 s
% 0.62/0.77 % (15331)Instructions burned: 8 (million)
% 0.62/0.77 % (15331)------------------------------
% 0.62/0.77 % (15331)------------------------------
% 0.62/0.77 % (15335)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 (2995ds/55Mi)
% 0.62/0.77 % (15330)First to succeed.
% 0.62/0.77 % (15336)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 (2995ds/50Mi)
% 0.62/0.77 % (15330)Refutation found. Thanks to Tanya!
% 0.62/0.77 % SZS status Theorem for Vampire---4
% 0.62/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.77 % (15330)------------------------------
% 0.62/0.77 % (15330)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77 % (15330)Termination reason: Refutation
% 0.62/0.77
% 0.62/0.77 % (15330)Memory used [KB]: 1234
% 0.62/0.77 % (15330)Time elapsed: 0.007 s
% 0.62/0.77 % (15330)Instructions burned: 24 (million)
% 0.62/0.77 % (15330)------------------------------
% 0.62/0.77 % (15330)------------------------------
% 0.62/0.77 % (15323)Success in time 0.429 s
% 0.62/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------