TSTP Solution File: LCL656+1.005 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 17:49:12 EDT 2022
% Result : Theorem 1.30s 0.53s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 20
% Syntax : Number of formulae : 83 ( 13 unt; 0 def)
% Number of atoms : 1348 ( 0 equ)
% Maximal formula atoms : 129 ( 16 avg)
% Number of connectives : 2241 ( 976 ~; 716 |; 543 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 2 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 370 ( 319 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f358,plain,
$false,
inference(avatar_sat_refutation,[],[f329,f357]) ).
fof(f357,plain,
spl23_1,
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| spl23_1 ),
inference(subsumption_resolution,[],[f355,f201]) ).
fof(f201,plain,
( ~ p102(sK17(sK22))
| spl23_1 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl23_1
<=> p102(sK17(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f355,plain,
( p102(sK17(sK22))
| spl23_1 ),
inference(subsumption_resolution,[],[f354,f157]) ).
fof(f157,plain,
p101(sK17(sK22)),
inference(subsumption_resolution,[],[f156,f131]) ).
fof(f131,plain,
~ p101(sK22),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ! [X1] :
( ~ r1(sK22,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) ) )
& ~ p101(sK22)
& ! [X6] :
( ~ r1(sK22,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ r1(X9,X10)
| sP11(X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) ) ) )
& p100(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f21,f61]) ).
fof(f61,plain,
( ? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) ) )
& ~ p101(X0)
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ r1(X9,X10)
| sP11(X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) ) ) )
& p100(X0) )
=> ( ! [X1] :
( ~ r1(sK22,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) ) )
& ~ p101(sK22)
& ! [X6] :
( ~ r1(sK22,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ r1(X9,X10)
| sP11(X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) ) ) )
& p100(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) ) )
& ~ p101(X0)
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ r1(X9,X10)
| sP11(X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) ) ) )
& p100(X0) ),
inference(definition_folding,[],[f8,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f9,plain,
! [X10] :
( ~ p102(X10)
| ( ? [X31] :
( r1(X10,X31)
& p4(X31)
& ~ p104(X31)
& p103(X31) )
& ? [X32] :
( r1(X10,X32)
& ~ p104(X32)
& ~ p4(X32)
& p103(X32) ) )
| p103(X10)
| ~ sP0(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f10,plain,
! [X10] :
( ~ p101(X10)
| p102(X10)
| ( ? [X24] :
( p102(X24)
& ~ p103(X24)
& r1(X10,X24)
& ~ p3(X24) )
& ? [X23] :
( p102(X23)
& p3(X23)
& ~ p103(X23)
& r1(X10,X23) ) )
| ~ sP1(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X10] :
( p101(X10)
| ( ? [X22] :
( ~ p102(X22)
& r1(X10,X22)
& ~ p2(X22)
& p101(X22) )
& ? [X21] :
( p2(X21)
& p101(X21)
& ~ p102(X21)
& r1(X10,X21) ) )
| ~ p100(X10)
| ~ sP2(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X10] :
( ( ? [X15] :
( p104(X15)
& ~ p105(X15)
& r1(X10,X15)
& ~ p5(X15) )
& ? [X16] :
( ~ p105(X16)
& r1(X10,X16)
& p5(X16)
& p104(X16) ) )
| ~ p103(X10)
| p104(X10)
| ~ sP3(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X10] :
( ( ? [X19] :
( r1(X10,X19)
& p105(X19)
& p6(X19) )
& ? [X20] :
( r1(X10,X20)
& ~ p6(X20)
& p105(X20) ) )
| p105(X10)
| ~ p104(X10)
| ~ sP4(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X10] :
( ~ p102(X10)
| ( ( ! [X25] :
( p3(X25)
| ~ r1(X10,X25)
| ~ p102(X25) )
| ~ p3(X10) )
& ( p3(X10)
| ! [X26] :
( ~ r1(X10,X26)
| ~ p102(X26)
| ~ p3(X26) ) ) )
| ~ sP5(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X10] :
( ( ( p6(X10)
| ! [X27] :
( ~ p105(X27)
| ~ r1(X10,X27)
| ~ p6(X27) ) )
& ( ~ p6(X10)
| ! [X28] :
( p6(X28)
| ~ p105(X28)
| ~ r1(X10,X28) ) ) )
| ~ p105(X10)
| ~ sP6(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X10] :
( ( ( p5(X10)
| ! [X12] :
( ~ p104(X12)
| ~ r1(X10,X12)
| ~ p5(X12) ) )
& ( ~ p5(X10)
| ! [X11] :
( p5(X11)
| ~ p104(X11)
| ~ r1(X10,X11) ) ) )
| ~ p104(X10)
| ~ sP7(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X10] :
( ~ p101(X10)
| ( ( p2(X10)
| ! [X13] :
( ~ p101(X13)
| ~ p2(X13)
| ~ r1(X10,X13) ) )
& ( ~ p2(X10)
| ! [X14] :
( ~ r1(X10,X14)
| p2(X14)
| ~ p101(X14) ) ) )
| ~ sP8(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X10] :
( ( ( ~ p4(X10)
| ! [X18] :
( ~ p103(X18)
| p4(X18)
| ~ r1(X10,X18) ) )
& ( ! [X17] :
( ~ r1(X10,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X10) ) )
| ~ p103(X10)
| ~ sP9(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X10] :
( ( ( ~ p1(X10)
| ! [X30] :
( ~ p100(X30)
| p1(X30)
| ~ r1(X10,X30) ) )
& ( p1(X10)
| ! [X29] :
( ~ p100(X29)
| ~ p1(X29)
| ~ r1(X10,X29) ) ) )
| ~ p100(X10)
| ~ sP10(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X10] :
( ( ( p101(X10)
| ~ p102(X10) )
& sP10(X10)
& ( ~ p104(X10)
| p103(X10) )
& sP9(X10)
& sP3(X10)
& sP8(X10)
& sP7(X10)
& ( p102(X10)
| ~ p103(X10) )
& sP2(X10)
& ( ~ p101(X10)
| p100(X10) )
& ( ~ p105(X10)
| p104(X10) )
& sP4(X10)
& sP1(X10)
& sP6(X10)
& sP5(X10)
& sP0(X10) )
| ~ sP11(X10) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) ) )
& ~ p101(X0)
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ~ r1(X6,X7)
| ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ r1(X9,X10)
| ( ( p101(X10)
| ~ p102(X10) )
& ( ( ( ~ p1(X10)
| ! [X30] :
( ~ p100(X30)
| p1(X30)
| ~ r1(X10,X30) ) )
& ( p1(X10)
| ! [X29] :
( ~ p100(X29)
| ~ p1(X29)
| ~ r1(X10,X29) ) ) )
| ~ p100(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ( ( ~ p4(X10)
| ! [X18] :
( ~ p103(X18)
| p4(X18)
| ~ r1(X10,X18) ) )
& ( ! [X17] :
( ~ r1(X10,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X10) ) )
| ~ p103(X10) )
& ( ( ? [X15] :
( p104(X15)
& ~ p105(X15)
& r1(X10,X15)
& ~ p5(X15) )
& ? [X16] :
( ~ p105(X16)
& r1(X10,X16)
& p5(X16)
& p104(X16) ) )
| ~ p103(X10)
| p104(X10) )
& ( ~ p101(X10)
| ( ( p2(X10)
| ! [X13] :
( ~ p101(X13)
| ~ p2(X13)
| ~ r1(X10,X13) ) )
& ( ~ p2(X10)
| ! [X14] :
( ~ r1(X10,X14)
| p2(X14)
| ~ p101(X14) ) ) ) )
& ( ( ( p5(X10)
| ! [X12] :
( ~ p104(X12)
| ~ r1(X10,X12)
| ~ p5(X12) ) )
& ( ~ p5(X10)
| ! [X11] :
( p5(X11)
| ~ p104(X11)
| ~ r1(X10,X11) ) ) )
| ~ p104(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( p101(X10)
| ( ? [X22] :
( ~ p102(X22)
& r1(X10,X22)
& ~ p2(X22)
& p101(X22) )
& ? [X21] :
( p2(X21)
& p101(X21)
& ~ p102(X21)
& r1(X10,X21) ) )
| ~ p100(X10) )
& ( ~ p101(X10)
| p100(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ( ? [X19] :
( r1(X10,X19)
& p105(X19)
& p6(X19) )
& ? [X20] :
( r1(X10,X20)
& ~ p6(X20)
& p105(X20) ) )
| p105(X10)
| ~ p104(X10) )
& ( ~ p101(X10)
| p102(X10)
| ( ? [X24] :
( p102(X24)
& ~ p103(X24)
& r1(X10,X24)
& ~ p3(X24) )
& ? [X23] :
( p102(X23)
& p3(X23)
& ~ p103(X23)
& r1(X10,X23) ) ) )
& ( ( ( p6(X10)
| ! [X27] :
( ~ p105(X27)
| ~ r1(X10,X27)
| ~ p6(X27) ) )
& ( ~ p6(X10)
| ! [X28] :
( p6(X28)
| ~ p105(X28)
| ~ r1(X10,X28) ) ) )
| ~ p105(X10) )
& ( ~ p102(X10)
| ( ( ! [X25] :
( p3(X25)
| ~ r1(X10,X25)
| ~ p102(X25) )
| ~ p3(X10) )
& ( p3(X10)
| ! [X26] :
( ~ r1(X10,X26)
| ~ p102(X26)
| ~ p3(X26) ) ) ) )
& ( ~ p102(X10)
| ( ? [X31] :
( r1(X10,X31)
& p4(X31)
& ~ p104(X31)
& p103(X31) )
& ? [X32] :
( r1(X10,X32)
& ~ p104(X32)
& ~ p4(X32)
& p103(X32) ) )
| p103(X10) ) ) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) ) ) )
& p100(X0) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ~ p101(X0)
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ( ( p6(X10)
| ! [X27] :
( ~ p105(X27)
| ~ r1(X10,X27)
| ~ p6(X27) ) )
& ( ~ p6(X10)
| ! [X28] :
( p6(X28)
| ~ p105(X28)
| ~ r1(X10,X28) ) ) )
| ~ p105(X10) )
& ( ( ? [X32] :
( r1(X10,X32)
& ~ p4(X32)
& p103(X32)
& ~ p104(X32) )
& ? [X31] :
( p103(X31)
& p4(X31)
& ~ p104(X31)
& r1(X10,X31) ) )
| p103(X10)
| ~ p102(X10) )
& ( ( ( p5(X10)
| ! [X12] :
( ~ p104(X12)
| ~ r1(X10,X12)
| ~ p5(X12) ) )
& ( ~ p5(X10)
| ! [X11] :
( p5(X11)
| ~ p104(X11)
| ~ r1(X10,X11) ) ) )
| ~ p104(X10) )
& ( ~ p101(X10)
| ( ( p2(X10)
| ! [X13] :
( ~ p101(X13)
| ~ p2(X13)
| ~ r1(X10,X13) ) )
& ( ~ p2(X10)
| ! [X14] :
( ~ r1(X10,X14)
| p2(X14)
| ~ p101(X14) ) ) ) )
& ( p101(X10)
| ~ p102(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ( ( ~ p4(X10)
| ! [X18] :
( ~ p103(X18)
| p4(X18)
| ~ r1(X10,X18) ) )
& ( ! [X17] :
( ~ r1(X10,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ~ p1(X10)
| ! [X30] :
( ~ p100(X30)
| p1(X30)
| ~ r1(X10,X30) ) )
& ( p1(X10)
| ! [X29] :
( ~ p100(X29)
| ~ p1(X29)
| ~ r1(X10,X29) ) ) )
| ~ p100(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p101(X10)
| p100(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( ( ? [X15] :
( r1(X10,X15)
& ~ p105(X15)
& ~ p5(X15)
& p104(X15) )
& ? [X16] :
( r1(X10,X16)
& p104(X16)
& ~ p105(X16)
& p5(X16) ) )
| p104(X10)
| ~ p103(X10) )
& ( p105(X10)
| ~ p104(X10)
| ( ? [X19] :
( r1(X10,X19)
& p105(X19)
& p6(X19) )
& ? [X20] :
( ~ p6(X20)
& p105(X20)
& r1(X10,X20) ) ) )
& ( ~ p102(X10)
| ( ( ! [X25] :
( p3(X25)
| ~ r1(X10,X25)
| ~ p102(X25) )
| ~ p3(X10) )
& ( p3(X10)
| ! [X26] :
( ~ r1(X10,X26)
| ~ p102(X26)
| ~ p3(X26) ) ) ) )
& ( ~ p101(X10)
| p102(X10)
| ( ? [X24] :
( r1(X10,X24)
& p102(X24)
& ~ p103(X24)
& ~ p3(X24) )
& ? [X23] :
( r1(X10,X23)
& ~ p103(X23)
& p3(X23)
& p102(X23) ) ) )
& ( p101(X10)
| ~ p100(X10)
| ( ? [X22] :
( r1(X10,X22)
& ~ p2(X22)
& p101(X22)
& ~ p102(X22) )
& ? [X21] :
( r1(X10,X21)
& ~ p102(X21)
& p101(X21)
& p2(X21) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) ) )
& p100(X0)
& ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ( ~ p101(X0)
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ( ( p6(X10)
| ! [X27] :
( ~ p105(X27)
| ~ r1(X10,X27)
| ~ p6(X27) ) )
& ( ~ p6(X10)
| ! [X28] :
( p6(X28)
| ~ p105(X28)
| ~ r1(X10,X28) ) ) )
| ~ p105(X10) )
& ( ( ~ ! [X32] :
( ~ r1(X10,X32)
| ~ ( ~ p4(X32)
& p103(X32)
& ~ p104(X32) ) )
& ~ ! [X31] :
( ~ ( p103(X31)
& p4(X31)
& ~ p104(X31) )
| ~ r1(X10,X31) ) )
| ~ ( ~ p103(X10)
& p102(X10) ) )
& ( ( ( p5(X10)
| ! [X12] :
( ~ p104(X12)
| ~ r1(X10,X12)
| ~ p5(X12) ) )
& ( ~ p5(X10)
| ! [X11] :
( p5(X11)
| ~ p104(X11)
| ~ r1(X10,X11) ) ) )
| ~ p104(X10) )
& ( ~ p101(X10)
| ( ( p2(X10)
| ! [X13] :
( ~ p101(X13)
| ~ p2(X13)
| ~ r1(X10,X13) ) )
& ( ~ p2(X10)
| ! [X14] :
( ~ r1(X10,X14)
| p2(X14)
| ~ p101(X14) ) ) ) )
& ( p101(X10)
| ~ p102(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ( ( ~ p4(X10)
| ! [X18] :
( ~ p103(X18)
| p4(X18)
| ~ r1(X10,X18) ) )
& ( ! [X17] :
( ~ r1(X10,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ~ p1(X10)
| ! [X30] :
( ~ p100(X30)
| p1(X30)
| ~ r1(X10,X30) ) )
& ( p1(X10)
| ! [X29] :
( ~ p100(X29)
| ~ p1(X29)
| ~ r1(X10,X29) ) ) )
| ~ p100(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p101(X10)
| p100(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( ( ~ ! [X15] :
( ~ r1(X10,X15)
| ~ ( ~ p105(X15)
& ~ p5(X15)
& p104(X15) ) )
& ~ ! [X16] :
( ~ r1(X10,X16)
| ~ ( p104(X16)
& ~ p105(X16)
& p5(X16) ) ) )
| ~ ( ~ p104(X10)
& p103(X10) ) )
& ( ~ ( ~ p105(X10)
& p104(X10) )
| ( ~ ! [X19] :
( ~ r1(X10,X19)
| ~ ( p105(X19)
& p6(X19) ) )
& ~ ! [X20] :
( ~ ( ~ p6(X20)
& p105(X20) )
| ~ r1(X10,X20) ) ) )
& ( ~ p102(X10)
| ( ( ! [X25] :
( p3(X25)
| ~ r1(X10,X25)
| ~ p102(X25) )
| ~ p3(X10) )
& ( p3(X10)
| ! [X26] :
( ~ r1(X10,X26)
| ~ p102(X26)
| ~ p3(X26) ) ) ) )
& ( ~ ( p101(X10)
& ~ p102(X10) )
| ( ~ ! [X24] :
( ~ r1(X10,X24)
| ~ ( p102(X24)
& ~ p103(X24)
& ~ p3(X24) ) )
& ~ ! [X23] :
( ~ r1(X10,X23)
| ~ ( ~ p103(X23)
& p3(X23)
& p102(X23) ) ) ) )
& ( ~ ( ~ p101(X10)
& p100(X10) )
| ( ~ ! [X22] :
( ~ r1(X10,X22)
| ~ ( ~ p2(X22)
& p101(X22)
& ~ p102(X22) ) )
& ~ ! [X21] :
( ~ r1(X10,X21)
| ~ ( ~ p102(X21)
& p101(X21)
& p2(X21) ) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) ) )
& p100(X0) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) ) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ~ p101(X0)
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ( ( p6(X10)
| ! [X27] :
( ~ p105(X27)
| ~ r1(X10,X27)
| ~ p6(X27) ) )
& ( ~ p6(X10)
| ! [X28] :
( p6(X28)
| ~ p105(X28)
| ~ r1(X10,X28) ) ) )
| ~ p105(X10) )
& ( ( ~ ! [X32] :
( ~ r1(X10,X32)
| ~ ( ~ p4(X32)
& p103(X32)
& ~ p104(X32) ) )
& ~ ! [X31] :
( ~ ( p103(X31)
& p4(X31)
& ~ p104(X31) )
| ~ r1(X10,X31) ) )
| ~ ( ~ p103(X10)
& p102(X10) ) )
& ( ( ( p5(X10)
| ! [X12] :
( ~ p104(X12)
| ~ r1(X10,X12)
| ~ p5(X12) ) )
& ( ~ p5(X10)
| ! [X11] :
( p5(X11)
| ~ p104(X11)
| ~ r1(X10,X11) ) ) )
| ~ p104(X10) )
& ( ~ p101(X10)
| ( ( p2(X10)
| ! [X13] :
( ~ p101(X13)
| ~ p2(X13)
| ~ r1(X10,X13) ) )
& ( ~ p2(X10)
| ! [X14] :
( ~ r1(X10,X14)
| p2(X14)
| ~ p101(X14) ) ) ) )
& ( p105(X10)
| ~ p106(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ( ( ~ p4(X10)
| ! [X18] :
( ~ p103(X18)
| p4(X18)
| ~ r1(X10,X18) ) )
& ( ! [X17] :
( ~ r1(X10,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ~ p1(X10)
| ! [X30] :
( ~ p100(X30)
| p1(X30)
| ~ r1(X10,X30) ) )
& ( p1(X10)
| ! [X29] :
( ~ p100(X29)
| ~ p1(X29)
| ~ r1(X10,X29) ) ) )
| ~ p100(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p101(X10)
| p100(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( ( ~ ! [X15] :
( ~ r1(X10,X15)
| ~ ( ~ p105(X15)
& ~ p5(X15)
& p104(X15) ) )
& ~ ! [X16] :
( ~ r1(X10,X16)
| ~ ( p104(X16)
& ~ p105(X16)
& p5(X16) ) ) )
| ~ ( ~ p104(X10)
& p103(X10) ) )
& ( ~ ( ~ p105(X10)
& p104(X10) )
| ( ~ ! [X19] :
( ~ r1(X10,X19)
| ~ ( ~ p106(X19)
& p105(X19)
& p6(X19) ) )
& ~ ! [X20] :
( ~ ( ~ p6(X20)
& p105(X20)
& ~ p106(X20) )
| ~ r1(X10,X20) ) ) )
& ( ~ p102(X10)
| ( ( ! [X25] :
( p3(X25)
| ~ r1(X10,X25)
| ~ p102(X25) )
| ~ p3(X10) )
& ( p3(X10)
| ! [X26] :
( ~ r1(X10,X26)
| ~ p102(X26)
| ~ p3(X26) ) ) ) )
& ( ~ ( p101(X10)
& ~ p102(X10) )
| ( ~ ! [X24] :
( ~ r1(X10,X24)
| ~ ( p102(X24)
& ~ p103(X24)
& ~ p3(X24) ) )
& ~ ! [X23] :
( ~ r1(X10,X23)
| ~ ( ~ p103(X23)
& p3(X23)
& p102(X23) ) ) ) )
& ( ~ ( ~ p101(X10)
& p100(X10) )
| ( ~ ! [X22] :
( ~ r1(X10,X22)
| ~ ( ~ p2(X22)
& p101(X22)
& ~ p102(X22) ) )
& ~ ! [X21] :
( ~ r1(X10,X21)
| ~ ( ~ p102(X21)
& p101(X21)
& p2(X21) ) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) ) )
& p100(X0) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ~ p101(X0)
& ! [X6] :
( ~ r1(X0,X6)
| ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ( ( ( ( p6(X10)
| ! [X27] :
( ~ p105(X27)
| ~ r1(X10,X27)
| ~ p6(X27) ) )
& ( ~ p6(X10)
| ! [X28] :
( p6(X28)
| ~ p105(X28)
| ~ r1(X10,X28) ) ) )
| ~ p105(X10) )
& ( ( ~ ! [X32] :
( ~ r1(X10,X32)
| ~ ( ~ p4(X32)
& p103(X32)
& ~ p104(X32) ) )
& ~ ! [X31] :
( ~ ( p103(X31)
& p4(X31)
& ~ p104(X31) )
| ~ r1(X10,X31) ) )
| ~ ( ~ p103(X10)
& p102(X10) ) )
& ( ( ( p5(X10)
| ! [X12] :
( ~ p104(X12)
| ~ r1(X10,X12)
| ~ p5(X12) ) )
& ( ~ p5(X10)
| ! [X11] :
( p5(X11)
| ~ p104(X11)
| ~ r1(X10,X11) ) ) )
| ~ p104(X10) )
& ( ~ p101(X10)
| ( ( p2(X10)
| ! [X13] :
( ~ p101(X13)
| ~ p2(X13)
| ~ r1(X10,X13) ) )
& ( ~ p2(X10)
| ! [X14] :
( ~ r1(X10,X14)
| p2(X14)
| ~ p101(X14) ) ) ) )
& ( p105(X10)
| ~ p106(X10) )
& ( p101(X10)
| ~ p102(X10) )
& ( ~ p105(X10)
| p104(X10) )
& ( ( ( ~ p4(X10)
| ! [X18] :
( ~ p103(X18)
| p4(X18)
| ~ r1(X10,X18) ) )
& ( ! [X17] :
( ~ r1(X10,X17)
| ~ p4(X17)
| ~ p103(X17) )
| p4(X10) ) )
| ~ p103(X10) )
& ( ( ( ~ p1(X10)
| ! [X30] :
( ~ p100(X30)
| p1(X30)
| ~ r1(X10,X30) ) )
& ( p1(X10)
| ! [X29] :
( ~ p100(X29)
| ~ p1(X29)
| ~ r1(X10,X29) ) ) )
| ~ p100(X10) )
& ( ~ p104(X10)
| p103(X10) )
& ( ~ p101(X10)
| p100(X10) )
& ( p102(X10)
| ~ p103(X10) )
& ( ( ~ ! [X15] :
( ~ r1(X10,X15)
| ~ ( ~ p105(X15)
& ~ p5(X15)
& p104(X15) ) )
& ~ ! [X16] :
( ~ r1(X10,X16)
| ~ ( p104(X16)
& ~ p105(X16)
& p5(X16) ) ) )
| ~ ( ~ p104(X10)
& p103(X10) ) )
& ( ~ ( ~ p105(X10)
& p104(X10) )
| ( ~ ! [X19] :
( ~ r1(X10,X19)
| ~ ( ~ p106(X19)
& p105(X19)
& p6(X19) ) )
& ~ ! [X20] :
( ~ ( ~ p6(X20)
& p105(X20)
& ~ p106(X20) )
| ~ r1(X10,X20) ) ) )
& ( ~ p102(X10)
| ( ( ! [X25] :
( p3(X25)
| ~ r1(X10,X25)
| ~ p102(X25) )
| ~ p3(X10) )
& ( p3(X10)
| ! [X26] :
( ~ r1(X10,X26)
| ~ p102(X26)
| ~ p3(X26) ) ) ) )
& ( ~ ( p101(X10)
& ~ p102(X10) )
| ( ~ ! [X24] :
( ~ r1(X10,X24)
| ~ ( p102(X24)
& ~ p103(X24)
& ~ p3(X24) ) )
& ~ ! [X23] :
( ~ r1(X10,X23)
| ~ ( ~ p103(X23)
& p3(X23)
& p102(X23) ) ) ) )
& ( ~ ( ~ p101(X10)
& p100(X10) )
| ( ~ ! [X22] :
( ~ r1(X10,X22)
| ~ ( ~ p2(X22)
& p101(X22)
& ~ p102(X22) ) )
& ~ ! [X21] :
( ~ r1(X10,X21)
| ~ ( ~ p102(X21)
& p101(X21)
& p2(X21) ) ) ) ) )
| ~ r1(X9,X10) )
| ~ r1(X8,X9) )
| ~ r1(X7,X8) )
| ~ r1(X6,X7) ) )
& p100(X0) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( p3(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
| ~ r1(X2,X3) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ( ( ( ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ~ p104(X0)
| ~ p5(X0) )
| p5(X1) ) )
| ~ p104(X1) )
& ( ~ p101(X1)
| ( ( p2(X1)
| ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ~ p101(X0) ) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) ) )
& ( p101(X1)
| ~ p102(X1) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p104(X0)
& ~ p5(X0)
& ~ p105(X0) ) )
& ~ ! [X0] :
( ~ ( ~ p105(X0)
& p104(X0)
& p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ p103(X1)
| ( ( ! [X0] :
( ~ p4(X0)
| ~ p103(X0)
| ~ r1(X1,X0) )
| p4(X1) )
& ( ~ p4(X1)
| ! [X0] :
( p4(X0)
| ~ p103(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) ) )
& ~ ! [X0] :
( ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) )
| ~ r1(X1,X0) ) )
| ~ ( p104(X1)
& ~ p105(X1) ) )
& ( ~ p103(X1)
| p102(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( ~ p102(X0)
& p101(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p102(X0)
& ~ p3(X0)
& ~ p103(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ~ p106(X1)
| p105(X1) )
& ( p100(X1)
| ~ p101(X1) )
& ( ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ r1(X1,X0)
| p3(X0) ) )
& ( ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) )
| p3(X1) ) )
| ~ p102(X1) )
& ( ( ( p6(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p105(X0)
| ~ p6(X0) ) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ~ p100(X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0)
| ~ p100(X0) )
| ~ p1(X1) ) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p104(X0)
& p4(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p103(X0)
& ~ p4(X0)
& ~ p104(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( p103(X1)
| ~ p104(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) ) )
& p100(X0)
& ~ p101(X0) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ) )
| ~ r1(X1,X0) ) )
| ~ ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ( ( ( ( ! [X0] :
( ~ r1(X1,X0)
| p5(X0)
| ~ p104(X0) )
| ~ p5(X1) )
& ( ! [X0] :
( ~ r1(X1,X0)
| ~ p104(X0)
| ~ p5(X0) )
| p5(X1) ) )
| ~ p104(X1) )
& ( ~ p101(X1)
| ( ( p2(X1)
| ! [X0] :
( ~ p2(X0)
| ~ r1(X1,X0)
| ~ p101(X0) ) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ p101(X0) )
| ~ p2(X1) ) ) )
& ( p101(X1)
| ~ p102(X1) )
& ( ~ ( p103(X1)
& ~ p104(X1) )
| ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p104(X0)
& ~ p5(X0)
& ~ p105(X0) ) )
& ~ ! [X0] :
( ~ ( ~ p105(X0)
& p104(X0)
& p5(X0) )
| ~ r1(X1,X0) ) ) )
& ( ~ p103(X1)
| ( ( ! [X0] :
( ~ p4(X0)
| ~ p103(X0)
| ~ r1(X1,X0) )
| p4(X1) )
& ( ~ p4(X1)
| ! [X0] :
( p4(X0)
| ~ p103(X0)
| ~ r1(X1,X0) ) ) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p105(X0)
& ~ p106(X0)
& p6(X0) ) )
& ~ ! [X0] :
( ~ ( ~ p6(X0)
& ~ p106(X0)
& p105(X0) )
| ~ r1(X1,X0) ) )
| ~ ( p104(X1)
& ~ p105(X1) ) )
& ( ~ p103(X1)
| p102(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( ~ ( p100(X1)
& ~ p101(X1) )
| ( ~ ! [X0] :
( ~ ( p101(X0)
& ~ p102(X0)
& p2(X0) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ( ~ p102(X0)
& p101(X0)
& ~ p2(X0) )
| ~ r1(X1,X0) ) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p102(X0)
& ~ p103(X0)
& p3(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p102(X0)
& ~ p3(X0)
& ~ p103(X0) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ~ p106(X1)
| p105(X1) )
& ( p100(X1)
| ~ p101(X1) )
& ( ( ( ~ p3(X1)
| ! [X0] :
( ~ p102(X0)
| ~ r1(X1,X0)
| p3(X0) ) )
& ( ! [X0] :
( ~ p102(X0)
| ~ p3(X0)
| ~ r1(X1,X0) )
| p3(X1) ) )
| ~ p102(X1) )
& ( ( ( p6(X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ p105(X0)
| ~ p6(X0) ) )
& ( ! [X0] :
( ~ r1(X1,X0)
| p6(X0)
| ~ p105(X0) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ~ p100(X1)
| ( ( ! [X0] :
( ~ r1(X1,X0)
| ~ p1(X0)
| ~ p100(X0) )
| p1(X1) )
& ( ! [X0] :
( p1(X0)
| ~ r1(X1,X0)
| ~ p100(X0) )
| ~ p1(X1) ) ) )
& ( ( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ~ p104(X0)
& p4(X0)
& p103(X0) ) )
& ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p103(X0)
& ~ p4(X0)
& ~ p104(X0) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( p103(X1)
| ~ p104(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) ) )
& p100(X0)
& ~ p101(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f156,plain,
( p101(sK22)
| p101(sK17(sK22)) ),
inference(subsumption_resolution,[],[f155,f129]) ).
fof(f129,plain,
p100(sK22),
inference(cnf_transformation,[],[f62]) ).
fof(f155,plain,
( ~ p100(sK22)
| p101(sK22)
| p101(sK17(sK22)) ),
inference(resolution,[],[f107,f149]) ).
fof(f149,plain,
sP2(sK22),
inference(resolution,[],[f70,f141]) ).
fof(f141,plain,
sP11(sK22),
inference(resolution,[],[f137,f133]) ).
fof(f133,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f137,plain,
! [X0] :
( ~ r1(sK22,X0)
| sP11(X0) ),
inference(resolution,[],[f136,f133]) ).
fof(f136,plain,
! [X0,X1] :
( ~ r1(sK22,X1)
| sP11(X0)
| ~ r1(X1,X0) ),
inference(resolution,[],[f135,f133]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ r1(sK22,X0)
| sP11(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(resolution,[],[f134,f133]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK22,X3)
| ~ r1(X3,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X0)
| sP11(X0) ),
inference(resolution,[],[f130,f133]) ).
fof(f130,plain,
! [X10,X8,X6,X9,X7] :
( ~ r1(sK22,X6)
| sP11(X10)
| ~ r1(X8,X9)
| ~ r1(X7,X8)
| ~ r1(X9,X10)
| ~ r1(X6,X7) ),
inference(cnf_transformation,[],[f62]) ).
fof(f70,plain,
! [X0] :
( ~ sP11(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( ( p101(X0)
| ~ p102(X0) )
& sP10(X0)
& ( ~ p104(X0)
| p103(X0) )
& sP9(X0)
& sP3(X0)
& sP8(X0)
& sP7(X0)
& ( p102(X0)
| ~ p103(X0) )
& sP2(X0)
& ( ~ p101(X0)
| p100(X0) )
& ( ~ p105(X0)
| p104(X0) )
& sP4(X0)
& sP1(X0)
& sP6(X0)
& sP5(X0)
& sP0(X0) )
| ~ sP11(X0) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X10] :
( ( ( p101(X10)
| ~ p102(X10) )
& sP10(X10)
& ( ~ p104(X10)
| p103(X10) )
& sP9(X10)
& sP3(X10)
& sP8(X10)
& sP7(X10)
& ( p102(X10)
| ~ p103(X10) )
& sP2(X10)
& ( ~ p101(X10)
| p100(X10) )
& ( ~ p105(X10)
| p104(X10) )
& sP4(X10)
& sP1(X10)
& sP6(X10)
& sP5(X10)
& sP0(X10) )
| ~ sP11(X10) ),
inference(nnf_transformation,[],[f20]) ).
fof(f107,plain,
! [X0] :
( ~ sP2(X0)
| ~ p100(X0)
| p101(sK17(X0))
| p101(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( p101(X0)
| ( ~ p102(sK16(X0))
& r1(X0,sK16(X0))
& ~ p2(sK16(X0))
& p101(sK16(X0))
& p2(sK17(X0))
& p101(sK17(X0))
& ~ p102(sK17(X0))
& r1(X0,sK17(X0)) )
| ~ p100(X0)
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f47,f49,f48]) ).
fof(f48,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1)
& ~ p2(X1)
& p101(X1) )
=> ( ~ p102(sK16(X0))
& r1(X0,sK16(X0))
& ~ p2(sK16(X0))
& p101(sK16(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X2] :
( p2(X2)
& p101(X2)
& ~ p102(X2)
& r1(X0,X2) )
=> ( p2(sK17(X0))
& p101(sK17(X0))
& ~ p102(sK17(X0))
& r1(X0,sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( p101(X0)
| ( ? [X1] :
( ~ p102(X1)
& r1(X0,X1)
& ~ p2(X1)
& p101(X1) )
& ? [X2] :
( p2(X2)
& p101(X2)
& ~ p102(X2)
& r1(X0,X2) ) )
| ~ p100(X0)
| ~ sP2(X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X10] :
( p101(X10)
| ( ? [X22] :
( ~ p102(X22)
& r1(X10,X22)
& ~ p2(X22)
& p101(X22) )
& ? [X21] :
( p2(X21)
& p101(X21)
& ~ p102(X21)
& r1(X10,X21) ) )
| ~ p100(X10)
| ~ sP2(X10) ),
inference(nnf_transformation,[],[f11]) ).
fof(f354,plain,
( ~ p101(sK17(sK22))
| p102(sK17(sK22))
| spl23_1 ),
inference(subsumption_resolution,[],[f353,f183]) ).
fof(f183,plain,
sP1(sK17(sK22)),
inference(resolution,[],[f175,f66]) ).
fof(f66,plain,
! [X0] :
( ~ sP11(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f175,plain,
sP11(sK17(sK22)),
inference(resolution,[],[f169,f137]) ).
fof(f169,plain,
r1(sK22,sK17(sK22)),
inference(subsumption_resolution,[],[f168,f129]) ).
fof(f168,plain,
( ~ p100(sK22)
| r1(sK22,sK17(sK22)) ),
inference(subsumption_resolution,[],[f167,f131]) ).
fof(f167,plain,
( p101(sK22)
| ~ p100(sK22)
| r1(sK22,sK17(sK22)) ),
inference(resolution,[],[f105,f149]) ).
fof(f105,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK17(X0))
| p101(X0)
| ~ p100(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f353,plain,
( ~ sP1(sK17(sK22))
| ~ p101(sK17(sK22))
| p102(sK17(sK22))
| spl23_1 ),
inference(resolution,[],[f341,f117]) ).
fof(f117,plain,
! [X0] :
( ~ p3(sK18(X0))
| ~ sP1(X0)
| ~ p101(X0)
| p102(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( p102(sK18(X0))
& ~ p103(sK18(X0))
& r1(X0,sK18(X0))
& ~ p3(sK18(X0))
& p102(sK19(X0))
& p3(sK19(X0))
& ~ p103(sK19(X0))
& r1(X0,sK19(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f52,f54,f53]) ).
fof(f53,plain,
! [X0] :
( ? [X1] :
( p102(X1)
& ~ p103(X1)
& r1(X0,X1)
& ~ p3(X1) )
=> ( p102(sK18(X0))
& ~ p103(sK18(X0))
& r1(X0,sK18(X0))
& ~ p3(sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ? [X2] :
( p102(X2)
& p3(X2)
& ~ p103(X2)
& r1(X0,X2) )
=> ( p102(sK19(X0))
& p3(sK19(X0))
& ~ p103(sK19(X0))
& r1(X0,sK19(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ~ p101(X0)
| p102(X0)
| ( ? [X1] :
( p102(X1)
& ~ p103(X1)
& r1(X0,X1)
& ~ p3(X1) )
& ? [X2] :
( p102(X2)
& p3(X2)
& ~ p103(X2)
& r1(X0,X2) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X10] :
( ~ p101(X10)
| p102(X10)
| ( ? [X24] :
( p102(X24)
& ~ p103(X24)
& r1(X10,X24)
& ~ p3(X24) )
& ? [X23] :
( p102(X23)
& p3(X23)
& ~ p103(X23)
& r1(X10,X23) ) )
| ~ sP1(X10) ),
inference(nnf_transformation,[],[f10]) ).
fof(f341,plain,
( p3(sK18(sK17(sK22)))
| spl23_1 ),
inference(resolution,[],[f333,f178]) ).
fof(f178,plain,
! [X19] :
( ~ r1(sK17(sK22),X19)
| p3(X19) ),
inference(resolution,[],[f169,f140]) ).
fof(f140,plain,
! [X0,X1] :
( ~ r1(sK22,X0)
| p3(X1)
| ~ r1(X0,X1) ),
inference(resolution,[],[f139,f133]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p3(X2) ),
inference(resolution,[],[f138,f133]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ r1(sK22,X0)
| ~ r1(X1,X3)
| ~ r1(X0,X1)
| ~ r1(X3,X2)
| p3(X2) ),
inference(resolution,[],[f132,f133]) ).
fof(f132,plain,
! [X2,X3,X1,X4,X5] :
( ~ r1(sK22,X1)
| ~ r1(X2,X3)
| p3(X5)
| ~ r1(X1,X2)
| ~ r1(X3,X4)
| ~ r1(X4,X5) ),
inference(cnf_transformation,[],[f62]) ).
fof(f333,plain,
( r1(sK17(sK22),sK18(sK17(sK22)))
| spl23_1 ),
inference(subsumption_resolution,[],[f332,f201]) ).
fof(f332,plain,
( r1(sK17(sK22),sK18(sK17(sK22)))
| p102(sK17(sK22)) ),
inference(subsumption_resolution,[],[f330,f183]) ).
fof(f330,plain,
( ~ sP1(sK17(sK22))
| r1(sK17(sK22),sK18(sK17(sK22)))
| p102(sK17(sK22)) ),
inference(resolution,[],[f118,f157]) ).
fof(f118,plain,
! [X0] :
( ~ p101(X0)
| r1(X0,sK18(X0))
| p102(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f329,plain,
~ spl23_1,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| ~ spl23_1 ),
inference(subsumption_resolution,[],[f327,f131]) ).
fof(f327,plain,
( p101(sK22)
| ~ spl23_1 ),
inference(subsumption_resolution,[],[f326,f129]) ).
fof(f326,plain,
( ~ p100(sK22)
| p101(sK22)
| ~ spl23_1 ),
inference(subsumption_resolution,[],[f299,f149]) ).
fof(f299,plain,
( ~ sP2(sK22)
| ~ p100(sK22)
| p101(sK22)
| ~ spl23_1 ),
inference(resolution,[],[f202,f106]) ).
fof(f106,plain,
! [X0] :
( ~ p102(sK17(X0))
| ~ p100(X0)
| p101(X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f202,plain,
( p102(sK17(sK22))
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 02:31:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.48 % (1735)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.50 % (1756)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.22/0.51 % (1748)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.22/0.51 % (1746)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.22/0.52 % (1739)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.52 % (1759)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.52 % (1747)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.22/0.52 % (1756)First to succeed.
% 0.22/0.52 % (1758)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.22/0.52 % (1729)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.22/0.53 % (1755)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.22/0.53 % (1748)Also succeeded, but the first one will report.
% 0.22/0.53 % (1738)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.53 % (1756)Refutation found. Thanks to Tanya!
% 1.30/0.53 % SZS status Theorem for theBenchmark
% 1.30/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.53 % (1756)------------------------------
% 1.30/0.53 % (1756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (1756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (1756)Termination reason: Refutation
% 1.30/0.53
% 1.30/0.53 % (1756)Memory used [KB]: 5756
% 1.30/0.53 % (1756)Time elapsed: 0.082 s
% 1.30/0.53 % (1756)Instructions burned: 9 (million)
% 1.30/0.53 % (1756)------------------------------
% 1.30/0.53 % (1756)------------------------------
% 1.30/0.53 % (1724)Success in time 0.172 s
%------------------------------------------------------------------------------