%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 Apr 30 13:47:20 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 29
% Syntax : Number of formulae : 97 ( 14 unt; 0 def)
% Number of atoms : 1339 ( 0 equ)
% Maximal formula atoms : 129 ( 13 avg)
% Number of connectives : 2225 ( 983 ~; 722 |; 514 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 39 ( 38 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 388 ( 342 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1121,plain,
$false,
inference(avatar_sat_refutation,[],[f492,f589,f592,f1120]) ).
fof(f1120,plain,
~ spl32_42,
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1119,plain,
( $false
| ~ spl32_42 ),
inference(subsumption_resolution,[],[f1118,f491]) ).
fof(f491,plain,
( sP5(sK22(sK31))
| ~ spl32_42 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f489,plain,
( spl32_42
<=> sP5(sK22(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_42])]) ).
fof(f1118,plain,
( ~ sP5(sK22(sK31))
| ~ spl32_42 ),
inference(resolution,[],[f946,f149]) ).
fof(f149,plain,
! [X0] :
( ~ p3(sK25(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( p102(sK25(X0))
& ~ p103(sK25(X0))
& ~ p3(sK25(X0))
& r1(X0,sK25(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f70,f71]) ).
fof(f71,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& ~ p3(X1)
& r1(X0,X1) )
=> ( p102(sK25(X0))
& ~ p103(sK25(X0))
& ~ p3(sK25(X0))
& r1(X0,sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& ~ p3(X1)
& r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X5] :
( ? [X21] :
( p102(X21)
& ~ p103(X21)
& ~ p3(X21)
& r1(X5,X21) )
| ~ sP5(X5) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X5] :
( ? [X21] :
( p102(X21)
& ~ p103(X21)
& ~ p3(X21)
& r1(X5,X21) )
| ~ sP5(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f946,plain,
( p3(sK25(sK22(sK31)))
| ~ spl32_42 ),
inference(resolution,[],[f743,f336]) ).
fof(f336,plain,
! [X0] :
( ~ r1(sK22(sK31),X0)
| p3(X0) ),
inference(resolution,[],[f329,f179]) ).
fof(f179,plain,
! [X0,X1] :
( ~ r1(sK31,X0)
| ~ r1(X0,X1)
| p3(X1) ),
inference(resolution,[],[f178,f175]) ).
fof(f175,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(f178,plain,
! [X2,X0,X1] :
( ~ r1(sK31,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p3(X2) ),
inference(resolution,[],[f176,f175]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK31,X3)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X0,X1)
| p3(X1) ),
inference(resolution,[],[f171,f175]) ).
fof(f171,plain,
! [X10,X8,X6,X9,X7] :
( ~ r1(sK31,X6)
| ~ r1(X9,X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| p3(X10) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( p100(sK31)
& ~ p101(sK31)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP20(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK31,X1) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p3(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(sK31,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f93,f94]) ).
fof(f94,plain,
( ? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP20(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(sK31)
& ~ p101(sK31)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP20(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
| ~ r1(sK31,X1) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( p3(X10)
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| ~ r1(sK31,X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP20(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,[],[f30]) ).
fof(f30,plain,
? [X0] :
( p100(X0)
& ~ p101(X0)
& ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( sP20(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,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f9,plain,
! [X5] :
( ? [X27] :
( p105(X27)
& ~ p6(X27)
& r1(X5,X27) )
| ~ sP0(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X5] :
( ? [X25] :
( p104(X25)
& ~ p105(X25)
& ~ p5(X25)
& r1(X5,X25) )
| ~ sP1(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X5] :
( ? [X24] :
( p104(X24)
& ~ p105(X24)
& p5(X24)
& r1(X5,X24) )
| ~ sP2(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X5] :
( ? [X23] :
( p103(X23)
& ~ p104(X23)
& ~ p4(X23)
& r1(X5,X23) )
| ~ sP3(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X5] :
( ? [X22] :
( p103(X22)
& ~ p104(X22)
& p4(X22)
& r1(X5,X22) )
| ~ sP4(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
! [X5] :
( ? [X20] :
( p102(X20)
& ~ p103(X20)
& p3(X20)
& r1(X5,X20) )
| ~ sP6(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X5] :
( ? [X19] :
( p101(X19)
& ~ p102(X19)
& ~ p2(X19)
& r1(X5,X19) )
| ~ sP7(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X5] :
( ? [X18] :
( p101(X18)
& ~ p102(X18)
& p2(X18)
& r1(X5,X18) )
| ~ sP8(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X5] :
( ~ p104(X5)
| p105(X5)
| ( ? [X26] :
( p105(X26)
& p6(X26)
& r1(X5,X26) )
& sP0(X5) )
| ~ sP9(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X5] :
( ~ p103(X5)
| p104(X5)
| ( sP2(X5)
& sP1(X5) )
| ~ sP10(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X5] :
( ~ p102(X5)
| p103(X5)
| ( sP4(X5)
& sP3(X5) )
| ~ sP11(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
! [X5] :
( ~ p101(X5)
| p102(X5)
| ( sP6(X5)
& sP5(X5) )
| ~ sP12(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f22,plain,
! [X5] :
( ~ p100(X5)
| p101(X5)
| ( sP8(X5)
& sP7(X5) )
| ~ sP13(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f23,plain,
! [X5] :
( ~ p105(X5)
| ( ( ~ p6(X5)
| ! [X16] :
( ~ p105(X16)
| p6(X16)
| ~ r1(X5,X16) ) )
& ( p6(X5)
| ! [X17] :
( ~ p105(X17)
| ~ p6(X17)
| ~ r1(X5,X17) ) ) )
| ~ sP14(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f24,plain,
! [X5] :
( ~ p104(X5)
| ( ( ~ p5(X5)
| ! [X14] :
( ~ p104(X14)
| p5(X14)
| ~ r1(X5,X14) ) )
& ( p5(X5)
| ! [X15] :
( ~ p104(X15)
| ~ p5(X15)
| ~ r1(X5,X15) ) ) )
| ~ sP15(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f25,plain,
! [X5] :
( ~ p103(X5)
| ( ( ~ p4(X5)
| ! [X12] :
( ~ p103(X12)
| p4(X12)
| ~ r1(X5,X12) ) )
& ( p4(X5)
| ! [X13] :
( ~ p103(X13)
| ~ p4(X13)
| ~ r1(X5,X13) ) ) )
| ~ sP16(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f26,plain,
! [X5] :
( ~ p102(X5)
| ( ( ~ p3(X5)
| ! [X10] :
( ~ p102(X10)
| p3(X10)
| ~ r1(X5,X10) ) )
& ( p3(X5)
| ! [X11] :
( ~ p102(X11)
| ~ p3(X11)
| ~ r1(X5,X11) ) ) )
| ~ sP17(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f27,plain,
! [X5] :
( ~ p101(X5)
| ( ( ~ p2(X5)
| ! [X8] :
( ~ p101(X8)
| p2(X8)
| ~ r1(X5,X8) ) )
& ( p2(X5)
| ! [X9] :
( ~ p101(X9)
| ~ p2(X9)
| ~ r1(X5,X9) ) ) )
| ~ sP18(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f28,plain,
! [X5] :
( ~ p100(X5)
| ( ( ~ p1(X5)
| ! [X6] :
( ~ p100(X6)
| p1(X6)
| ~ r1(X5,X6) ) )
& ( p1(X5)
| ! [X7] :
( ~ p100(X7)
| ~ p1(X7)
| ~ r1(X5,X7) ) ) )
| ~ sP19(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f29,plain,
! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& sP19(X5)
& sP18(X5)
& sP17(X5)
& sP16(X5)
& sP15(X5)
& sP14(X5)
& sP13(X5)
& sP12(X5)
& sP11(X5)
& sP10(X5)
& sP9(X5) )
| ~ sP20(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
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(f329,plain,
r1(sK31,sK22(sK31)),
inference(resolution,[],[f264,f136]) ).
fof(f136,plain,
! [X0] :
( ~ sP8(X0)
| r1(X0,sK22(X0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ( p101(sK22(X0))
& ~ p102(sK22(X0))
& p2(sK22(X0))
& r1(X0,sK22(X0)) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f58,f59]) ).
fof(f59,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
=> ( p101(sK22(X0))
& ~ p102(sK22(X0))
& p2(sK22(X0))
& r1(X0,sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( p101(X1)
& ~ p102(X1)
& p2(X1)
& r1(X0,X1) )
| ~ sP8(X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X5] :
( ? [X18] :
( p101(X18)
& ~ p102(X18)
& p2(X18)
& r1(X5,X18) )
| ~ sP8(X5) ),
inference(nnf_transformation,[],[f17]) ).
fof(f264,plain,
sP8(sK31),
inference(subsumption_resolution,[],[f263,f174]) ).
fof(f174,plain,
p100(sK31),
inference(cnf_transformation,[],[f95]) ).
fof(f263,plain,
( sP8(sK31)
| ~ p100(sK31) ),
inference(subsumption_resolution,[],[f261,f173]) ).
fof(f173,plain,
~ p101(sK31),
inference(cnf_transformation,[],[f95]) ).
fof(f261,plain,
( p101(sK31)
| sP8(sK31)
| ~ p100(sK31) ),
inference(resolution,[],[f190,f125]) ).
fof(f125,plain,
! [X0] :
( ~ sP13(X0)
| p101(X0)
| sP8(X0)
| ~ p100(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ~ p100(X0)
| p101(X0)
| ( sP8(X0)
& sP7(X0) )
| ~ sP13(X0) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X5] :
( ~ p100(X5)
| p101(X5)
| ( sP8(X5)
& sP7(X5) )
| ~ sP13(X5) ),
inference(nnf_transformation,[],[f22]) ).
fof(f190,plain,
sP13(sK31),
inference(resolution,[],[f185,f100]) ).
fof(f100,plain,
! [X0] :
( ~ sP20(X0)
| sP13(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( ( ~ p101(X0)
| p100(X0) )
& ( ~ p102(X0)
| p101(X0) )
& ( ~ p103(X0)
| p102(X0) )
& ( ~ p104(X0)
| p103(X0) )
& ( ~ p105(X0)
| p104(X0) )
& sP19(X0)
& sP18(X0)
& sP17(X0)
& sP16(X0)
& sP15(X0)
& sP14(X0)
& sP13(X0)
& sP12(X0)
& sP11(X0)
& sP10(X0)
& sP9(X0) )
| ~ sP20(X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X5] :
( ( ( ~ p101(X5)
| p100(X5) )
& ( ~ p102(X5)
| p101(X5) )
& ( ~ p103(X5)
| p102(X5) )
& ( ~ p104(X5)
| p103(X5) )
& ( ~ p105(X5)
| p104(X5) )
& sP19(X5)
& sP18(X5)
& sP17(X5)
& sP16(X5)
& sP15(X5)
& sP14(X5)
& sP13(X5)
& sP12(X5)
& sP11(X5)
& sP10(X5)
& sP9(X5) )
| ~ sP20(X5) ),
inference(nnf_transformation,[],[f29]) ).
fof(f185,plain,
sP20(sK31),
inference(resolution,[],[f184,f175]) ).
fof(f184,plain,
! [X0] :
( ~ r1(sK31,X0)
| sP20(X0) ),
inference(resolution,[],[f182,f175]) ).
fof(f182,plain,
! [X0,X1] :
( ~ r1(sK31,X0)
| ~ r1(X0,X1)
| sP20(X1) ),
inference(resolution,[],[f180,f175]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ r1(sK31,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| sP20(X2) ),
inference(resolution,[],[f177,f175]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK31,X3)
| ~ r1(X2,X0)
| ~ r1(X3,X2)
| ~ r1(X0,X1)
| sP20(X1) ),
inference(resolution,[],[f172,f175]) ).
fof(f172,plain,
! [X2,X3,X1,X4,X5] :
( ~ r1(sK31,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| sP20(X5) ),
inference(cnf_transformation,[],[f95]) ).
fof(f743,plain,
( r1(sK22(sK31),sK25(sK22(sK31)))
| ~ spl32_42 ),
inference(resolution,[],[f491,f148]) ).
fof(f148,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK25(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f592,plain,
~ spl32_26,
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f591,plain,
( $false
| ~ spl32_26 ),
inference(subsumption_resolution,[],[f590,f264]) ).
fof(f590,plain,
( ~ sP8(sK31)
| ~ spl32_26 ),
inference(resolution,[],[f385,f138]) ).
fof(f138,plain,
! [X0] :
( ~ p102(sK22(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f385,plain,
( p102(sK22(sK31))
| ~ spl32_26 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f383,plain,
( spl32_26
<=> p102(sK22(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_26])]) ).
fof(f589,plain,
spl32_27,
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f588,plain,
( $false
| spl32_27 ),
inference(subsumption_resolution,[],[f587,f264]) ).
fof(f587,plain,
( ~ sP8(sK31)
| spl32_27 ),
inference(resolution,[],[f389,f139]) ).
fof(f139,plain,
! [X0] :
( p101(sK22(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f389,plain,
( ~ p101(sK22(sK31))
| spl32_27 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl32_27
<=> p101(sK22(sK31)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_27])]) ).
fof(f492,plain,
( ~ spl32_27
| spl32_42
| spl32_26 ),
inference(avatar_split_clause,[],[f482,f383,f489,f388]) ).
fof(f482,plain,
( p102(sK22(sK31))
| sP5(sK22(sK31))
| ~ p101(sK22(sK31)) ),
inference(resolution,[],[f355,f126]) ).
fof(f126,plain,
! [X0] :
( ~ sP12(X0)
| p102(X0)
| sP5(X0)
| ~ p101(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( sP6(X0)
& sP5(X0) )
| ~ sP12(X0) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X5] :
( ~ p101(X5)
| p102(X5)
| ( sP6(X5)
& sP5(X5) )
| ~ sP12(X5) ),
inference(nnf_transformation,[],[f21]) ).
fof(f355,plain,
sP12(sK22(sK31)),
inference(resolution,[],[f340,f99]) ).
fof(f99,plain,
! [X0] :
( ~ sP20(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f340,plain,
sP20(sK22(sK31)),
inference(resolution,[],[f329,f184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.31 % Computer : n009.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 23:00:56 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % (6022)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35 % (6028)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.35 % (6026)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36 % (6025)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 % (6024)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (6023)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [4]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (6028)First to succeed.
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (6029)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [5]
% 0.14/0.39 TRYING [5]
% 0.14/0.39 % (6028)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (6028)------------------------------
% 0.14/0.39 % (6028)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (6028)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (6028)Memory used [KB]: 1160
% 0.14/0.39 % (6028)Time elapsed: 0.033 s
% 0.14/0.39 % (6028)Instructions burned: 27 (million)
% 0.14/0.39 % (6028)------------------------------
% 0.14/0.39 % (6028)------------------------------
% 0.14/0.39 % (6022)Success in time 0.081 s
%------------------------------------------------------------------------------