%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL686+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 : n029.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 17:49:42 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 44 ( 5 unt; 0 def)
% Number of atoms : 1407 ( 0 equ)
% Maximal formula atoms : 140 ( 31 avg)
% Number of connectives : 2288 ( 925 ~; 761 |; 596 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 16 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 303 ( 235 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f195,plain,
$false,
inference(subsumption_resolution,[],[f194,f143]) ).
fof(f143,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(f194,plain,
~ r1(sK24,sK24),
inference(duplicate_literal_removal,[],[f189]) ).
fof(f189,plain,
( ~ r1(sK24,sK24)
| ~ r1(sK24,sK24) ),
inference(resolution,[],[f185,f162]) ).
fof(f162,plain,
r1(sK24,sK9(sK24)),
inference(resolution,[],[f159,f143]) ).
fof(f159,plain,
! [X0] :
( ~ r1(sK24,X0)
| r1(X0,sK9(X0)) ),
inference(resolution,[],[f84,f137]) ).
fof(f137,plain,
! [X4] :
( sP5(X4)
| ~ r1(sK24,X4) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( p15(sK22)
& r1(sK21,sK22)
& p1(sK23)
& r1(sK22,sK23)
& r1(sK21,sK24)
& ! [X4] :
( ~ r1(sK24,X4)
| ( sP5(X4)
& ! [X5] :
( ~ r1(X4,X5)
| ( ( p1(X5)
| ~ p2(X5) )
& ( p2(X5)
| ~ p1(X5) ) ) )
& ~ p15(sK25(X4))
& r1(X4,sK25(X4))
& sP6(X4) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23,sK24,sK25])],[f55,f60,f59,f58,f57,f56]) ).
fof(f56,plain,
( ? [X0] :
( ? [X1] :
( p15(X1)
& r1(X0,X1)
& ? [X2] :
( p1(X2)
& r1(X1,X2) ) )
& ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( sP5(X4)
& ! [X5] :
( ~ r1(X4,X5)
| ( ( p1(X5)
| ~ p2(X5) )
& ( p2(X5)
| ~ p1(X5) ) ) )
& ? [X6] :
( ~ p15(X6)
& r1(X4,X6) )
& sP6(X4) ) ) ) )
=> ( ? [X1] :
( p15(X1)
& r1(sK21,X1)
& ? [X2] :
( p1(X2)
& r1(X1,X2) ) )
& ? [X3] :
( r1(sK21,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( sP5(X4)
& ! [X5] :
( ~ r1(X4,X5)
| ( ( p1(X5)
| ~ p2(X5) )
& ( p2(X5)
| ~ p1(X5) ) ) )
& ? [X6] :
( ~ p15(X6)
& r1(X4,X6) )
& sP6(X4) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
( ? [X1] :
( p15(X1)
& r1(sK21,X1)
& ? [X2] :
( p1(X2)
& r1(X1,X2) ) )
=> ( p15(sK22)
& r1(sK21,sK22)
& ? [X2] :
( p1(X2)
& r1(sK22,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X2] :
( p1(X2)
& r1(sK22,X2) )
=> ( p1(sK23)
& r1(sK22,sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ? [X3] :
( r1(sK21,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( sP5(X4)
& ! [X5] :
( ~ r1(X4,X5)
| ( ( p1(X5)
| ~ p2(X5) )
& ( p2(X5)
| ~ p1(X5) ) ) )
& ? [X6] :
( ~ p15(X6)
& r1(X4,X6) )
& sP6(X4) ) ) )
=> ( r1(sK21,sK24)
& ! [X4] :
( ~ r1(sK24,X4)
| ( sP5(X4)
& ! [X5] :
( ~ r1(X4,X5)
| ( ( p1(X5)
| ~ p2(X5) )
& ( p2(X5)
| ~ p1(X5) ) ) )
& ? [X6] :
( ~ p15(X6)
& r1(X4,X6) )
& sP6(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X4] :
( ? [X6] :
( ~ p15(X6)
& r1(X4,X6) )
=> ( ~ p15(sK25(X4))
& r1(X4,sK25(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( p15(X1)
& r1(X0,X1)
& ? [X2] :
( p1(X2)
& r1(X1,X2) ) )
& ? [X3] :
( r1(X0,X3)
& ! [X4] :
( ~ r1(X3,X4)
| ( sP5(X4)
& ! [X5] :
( ~ r1(X4,X5)
| ( ( p1(X5)
| ~ p2(X5) )
& ( p2(X5)
| ~ p1(X5) ) ) )
& ? [X6] :
( ~ p15(X6)
& r1(X4,X6) )
& sP6(X4) ) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
? [X0] :
( ? [X31] :
( p15(X31)
& r1(X0,X31)
& ? [X32] :
( p1(X32)
& r1(X31,X32) ) )
& ? [X1] :
( r1(X0,X1)
& ! [X2] :
( ~ r1(X1,X2)
| ( sP5(X2)
& ! [X30] :
( ~ r1(X2,X30)
| ( ( p1(X30)
| ~ p2(X30) )
& ( p2(X30)
| ~ p1(X30) ) ) )
& ? [X4] :
( ~ p15(X4)
& r1(X2,X4) )
& sP6(X2) ) ) ) ),
inference(definition_folding,[],[f9,f18,f17,f16,f15,f14,f13,f12]) ).
fof(f12,plain,
! [X19] :
( ? [X20] :
( ? [X21] :
( ? [X23] : r1(X21,X23)
& r1(X20,X21)
& ! [X22] :
( ( ( ~ p13(X22)
| p14(X22) )
& ( ~ p14(X22)
| p13(X22) ) )
| ~ r1(X21,X22) ) )
& r1(X19,X20)
& ! [X24] :
( ~ r1(X20,X24)
| ( ( ~ p13(X24)
| p12(X24) )
& ( p13(X24)
| ~ p12(X24) ) ) ) )
| ~ sP0(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f13,plain,
! [X15] :
( ? [X17] :
( ! [X18] :
( ( ( p10(X18)
| ~ p11(X18) )
& ( p11(X18)
| ~ p10(X18) ) )
| ~ r1(X17,X18) )
& ? [X19] :
( r1(X17,X19)
& ! [X25] :
( ( ( ~ p11(X25)
| p12(X25) )
& ( p11(X25)
| ~ p12(X25) ) )
| ~ r1(X19,X25) )
& sP0(X19) )
& r1(X15,X17) )
| ~ sP1(X15) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14,plain,
! [X13] :
( ? [X14] :
( r1(X13,X14)
& ! [X26] :
( ( ( p9(X26)
| ~ p8(X26) )
& ( ~ p9(X26)
| p8(X26) ) )
| ~ r1(X14,X26) )
& ? [X15] :
( sP1(X15)
& ! [X16] :
( ( ( p10(X16)
| ~ p9(X16) )
& ( ~ p10(X16)
| p9(X16) ) )
| ~ r1(X15,X16) )
& r1(X14,X15) ) )
| ~ sP2(X13) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f15,plain,
! [X9] :
( ? [X11] :
( ! [X12] :
( ~ r1(X11,X12)
| ( ( p7(X12)
| ~ p6(X12) )
& ( ~ p7(X12)
| p6(X12) ) ) )
& r1(X9,X11)
& ? [X13] :
( r1(X11,X13)
& sP2(X13)
& ! [X27] :
( ( ( ~ p8(X27)
| p7(X27) )
& ( p8(X27)
| ~ p7(X27) ) )
| ~ r1(X13,X27) ) ) )
| ~ sP3(X9) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f16,plain,
! [X6] :
( ? [X7] :
( ? [X9] :
( r1(X7,X9)
& ! [X10] :
( ( ( p5(X10)
| ~ p6(X10) )
& ( p6(X10)
| ~ p5(X10) ) )
| ~ r1(X9,X10) )
& sP3(X9) )
& r1(X6,X7)
& ! [X8] :
( ( ( p5(X8)
| ~ p4(X8) )
& ( p4(X8)
| ~ p5(X8) ) )
| ~ r1(X7,X8) ) )
| ~ sP4(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f17,plain,
! [X2] :
( ? [X3] :
( ( p2(X3)
| p3(X3) )
& ( p10(X3)
| p9(X3) )
& ( ~ p11(X3)
| ~ p10(X3) )
& ( ~ p9(X3)
| ~ p10(X3) )
& ( p11(X3)
| p12(X3) )
& ( ~ p7(X3)
| ~ p8(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( p12(X3)
| p13(X3) )
& ( p6(X3)
| p5(X3) )
& ( ~ p8(X3)
| ~ p9(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p10(X3)
| p11(X3) )
& r1(X2,X3)
& ( ~ p3(X3)
| ~ p4(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p6(X3)
| p7(X3) )
& ( p1(X3)
| p2(X3) )
& ( ~ p1(X3)
| ~ p2(X3) )
& ( p4(X3)
| p5(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( p8(X3)
| p7(X3) )
& ( p8(X3)
| p9(X3) )
& ( ~ p6(X3)
| ~ p5(X3) )
& ( p14(X3)
| p13(X3) )
& ( ~ p7(X3)
| ~ p6(X3) )
& ( ~ p3(X3)
| ~ p2(X3) )
& ( p4(X3)
| p3(X3) ) )
| ~ sP5(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f18,plain,
! [X2] :
( ? [X5] :
( ? [X6] :
( r1(X5,X6)
& sP4(X6)
& ! [X28] :
( ~ r1(X6,X28)
| ( ( ~ p4(X28)
| p3(X28) )
& ( p4(X28)
| ~ p3(X28) ) ) ) )
& r1(X2,X5)
& ! [X29] :
( ~ r1(X5,X29)
| ( ( p3(X29)
| ~ p2(X29) )
& ( ~ p3(X29)
| p2(X29) ) ) ) )
| ~ sP6(X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f9,plain,
? [X0] :
( ? [X31] :
( p15(X31)
& r1(X0,X31)
& ? [X32] :
( p1(X32)
& r1(X31,X32) ) )
& ? [X1] :
( r1(X0,X1)
& ! [X2] :
( ~ r1(X1,X2)
| ( ? [X3] :
( ( p2(X3)
| p3(X3) )
& ( p10(X3)
| p9(X3) )
& ( ~ p11(X3)
| ~ p10(X3) )
& ( ~ p9(X3)
| ~ p10(X3) )
& ( p11(X3)
| p12(X3) )
& ( ~ p7(X3)
| ~ p8(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( p12(X3)
| p13(X3) )
& ( p6(X3)
| p5(X3) )
& ( ~ p8(X3)
| ~ p9(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p10(X3)
| p11(X3) )
& r1(X2,X3)
& ( ~ p3(X3)
| ~ p4(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p6(X3)
| p7(X3) )
& ( p1(X3)
| p2(X3) )
& ( ~ p1(X3)
| ~ p2(X3) )
& ( p4(X3)
| p5(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( p8(X3)
| p7(X3) )
& ( p8(X3)
| p9(X3) )
& ( ~ p6(X3)
| ~ p5(X3) )
& ( p14(X3)
| p13(X3) )
& ( ~ p7(X3)
| ~ p6(X3) )
& ( ~ p3(X3)
| ~ p2(X3) )
& ( p4(X3)
| p3(X3) ) )
& ! [X30] :
( ~ r1(X2,X30)
| ( ( p1(X30)
| ~ p2(X30) )
& ( p2(X30)
| ~ p1(X30) ) ) )
& ? [X4] :
( ~ p15(X4)
& r1(X2,X4) )
& ? [X5] :
( ? [X6] :
( r1(X5,X6)
& ? [X7] :
( ? [X9] :
( r1(X7,X9)
& ! [X10] :
( ( ( p5(X10)
| ~ p6(X10) )
& ( p6(X10)
| ~ p5(X10) ) )
| ~ r1(X9,X10) )
& ? [X11] :
( ! [X12] :
( ~ r1(X11,X12)
| ( ( p7(X12)
| ~ p6(X12) )
& ( ~ p7(X12)
| p6(X12) ) ) )
& r1(X9,X11)
& ? [X13] :
( r1(X11,X13)
& ? [X14] :
( r1(X13,X14)
& ! [X26] :
( ( ( p9(X26)
| ~ p8(X26) )
& ( ~ p9(X26)
| p8(X26) ) )
| ~ r1(X14,X26) )
& ? [X15] :
( ? [X17] :
( ! [X18] :
( ( ( p10(X18)
| ~ p11(X18) )
& ( p11(X18)
| ~ p10(X18) ) )
| ~ r1(X17,X18) )
& ? [X19] :
( r1(X17,X19)
& ! [X25] :
( ( ( ~ p11(X25)
| p12(X25) )
& ( p11(X25)
| ~ p12(X25) ) )
| ~ r1(X19,X25) )
& ? [X20] :
( ? [X21] :
( ? [X23] : r1(X21,X23)
& r1(X20,X21)
& ! [X22] :
( ( ( ~ p13(X22)
| p14(X22) )
& ( ~ p14(X22)
| p13(X22) ) )
| ~ r1(X21,X22) ) )
& r1(X19,X20)
& ! [X24] :
( ~ r1(X20,X24)
| ( ( ~ p13(X24)
| p12(X24) )
& ( p13(X24)
| ~ p12(X24) ) ) ) ) )
& r1(X15,X17) )
& ! [X16] :
( ( ( p10(X16)
| ~ p9(X16) )
& ( ~ p10(X16)
| p9(X16) ) )
| ~ r1(X15,X16) )
& r1(X14,X15) ) )
& ! [X27] :
( ( ( ~ p8(X27)
| p7(X27) )
& ( p8(X27)
| ~ p7(X27) ) )
| ~ r1(X13,X27) ) ) ) )
& r1(X6,X7)
& ! [X8] :
( ( ( p5(X8)
| ~ p4(X8) )
& ( p4(X8)
| ~ p5(X8) ) )
| ~ r1(X7,X8) ) )
& ! [X28] :
( ~ r1(X6,X28)
| ( ( ~ p4(X28)
| p3(X28) )
& ( p4(X28)
| ~ p3(X28) ) ) ) )
& r1(X2,X5)
& ! [X29] :
( ~ r1(X5,X29)
| ( ( p3(X29)
| ~ p2(X29) )
& ( ~ p3(X29)
| p2(X29) ) ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
? [X0] :
~ ( ! [X31] :
( ~ r1(X0,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ~ p1(X32) )
| ~ p15(X31) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ! [X5] :
( ~ ! [X29] :
( ~ ( ( p3(X29)
& ~ p2(X29) )
| ( p2(X29)
& ~ p3(X29) ) )
| ~ r1(X5,X29) )
| ~ r1(X2,X5)
| ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| ~ ! [X8] :
( ~ ( ( p4(X8)
& ~ p5(X8) )
| ( ~ p4(X8)
& p5(X8) ) )
| ~ r1(X7,X8) )
| ! [X9] :
( ! [X11] :
( ! [X13] :
( ~ r1(X11,X13)
| ~ ! [X27] :
( ~ r1(X13,X27)
| ~ ( ( ~ p7(X27)
& p8(X27) )
| ( ~ p8(X27)
& p7(X27) ) ) )
| ! [X14] :
( ! [X15] :
( ! [X17] :
( ~ r1(X15,X17)
| ! [X19] :
( ~ r1(X17,X19)
| ! [X20] :
( ~ ! [X24] :
( ~ r1(X20,X24)
| ~ ( ( p12(X24)
& ~ p13(X24) )
| ( ~ p12(X24)
& p13(X24) ) ) )
| ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X23] : ~ r1(X21,X23)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ~ ( ( ~ p14(X22)
& p13(X22) )
| ( p14(X22)
& ~ p13(X22) ) ) ) ) )
| ~ ! [X25] :
( ~ ( ( p12(X25)
& ~ p11(X25) )
| ( p11(X25)
& ~ p12(X25) ) )
| ~ r1(X19,X25) ) )
| ~ ! [X18] :
( ~ r1(X17,X18)
| ~ ( ( ~ p10(X18)
& p11(X18) )
| ( p10(X18)
& ~ p11(X18) ) ) ) )
| ~ r1(X14,X15)
| ~ ! [X16] :
( ~ ( ( ~ p9(X16)
& p10(X16) )
| ( p9(X16)
& ~ p10(X16) ) )
| ~ r1(X15,X16) ) )
| ~ ! [X26] :
( ~ ( ( ~ p9(X26)
& p8(X26) )
| ( p9(X26)
& ~ p8(X26) ) )
| ~ r1(X14,X26) )
| ~ r1(X13,X14) ) )
| ~ ! [X12] :
( ~ ( ( ~ p6(X12)
& p7(X12) )
| ( p6(X12)
& ~ p7(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X9,X11) )
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ ( ( p6(X10)
& ~ p5(X10) )
| ( ~ p6(X10)
& p5(X10) ) ) )
| ~ r1(X7,X9) ) )
| ~ ! [X28] :
( ~ r1(X6,X28)
| ~ ( ( ~ p4(X28)
& p3(X28) )
| ( ~ p3(X28)
& p4(X28) ) ) )
| ~ r1(X5,X6) ) )
| ~ ! [X30] :
( ~ r1(X2,X30)
| ~ ( ( p2(X30)
& ~ p1(X30) )
| ( ~ p2(X30)
& p1(X30) ) ) )
| ! [X4] :
( ~ r1(X2,X4)
| p15(X4) )
| ! [X3] :
( ( p4(X3)
& p3(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( p14(X3)
& p13(X3) )
| ( p12(X3)
& p11(X3) )
| ( ~ p11(X3)
& ~ p12(X3) )
| ( p12(X3)
& p13(X3) )
| ( ~ p8(X3)
& ~ p9(X3) )
| ( p10(X3)
& p11(X3) )
| ( ~ p5(X3)
& ~ p4(X3) )
| ( p6(X3)
& p5(X3) )
| ( ~ p1(X3)
& ~ p2(X3) )
| ( ~ p9(X3)
& ~ p10(X3) )
| ( p7(X3)
& p8(X3) )
| ( p2(X3)
& p3(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p6(X3)
& p7(X3) )
| ~ r1(X2,X3)
| ( ~ p6(X3)
& ~ p5(X3) )
| ( ~ p3(X3)
& ~ p4(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( ~ p13(X3)
& ~ p14(X3) )
| ( p9(X3)
& p10(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p8(X3)
& ~ p7(X3) )
| ( ~ p6(X3)
& ~ p7(X3) )
| ( p9(X3)
& p8(X3) )
| ( p2(X3)
& p1(X3) ) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
~ ~ ? [X0] :
~ ( ! [X31] :
( ~ r1(X0,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ~ p1(X32) )
| ~ p15(X31) )
| ! [X1] :
( ~ ! [X2] :
( ~ ( ! [X5] :
( ~ ! [X29] :
( ~ ( ( p3(X29)
& ~ p2(X29) )
| ( p2(X29)
& ~ p3(X29) ) )
| ~ r1(X5,X29) )
| ~ r1(X2,X5)
| ! [X6] :
( ! [X7] :
( ~ r1(X6,X7)
| ~ ! [X8] :
( ~ ( ( p4(X8)
& ~ p5(X8) )
| ( ~ p4(X8)
& p5(X8) ) )
| ~ r1(X7,X8) )
| ! [X9] :
( ! [X11] :
( ! [X13] :
( ~ r1(X11,X13)
| ~ ! [X27] :
( ~ r1(X13,X27)
| ~ ( ( ~ p7(X27)
& p8(X27) )
| ( ~ p8(X27)
& p7(X27) ) ) )
| ! [X14] :
( ! [X15] :
( ! [X17] :
( ~ r1(X15,X17)
| ! [X19] :
( ~ r1(X17,X19)
| ! [X20] :
( ~ ! [X24] :
( ~ r1(X20,X24)
| ~ ( ( p12(X24)
& ~ p13(X24) )
| ( ~ p12(X24)
& p13(X24) ) ) )
| ~ r1(X19,X20)
| ! [X21] :
( ~ r1(X20,X21)
| ! [X23] : ~ r1(X21,X23)
| ~ ! [X22] :
( ~ r1(X21,X22)
| ~ ( ( ~ p14(X22)
& p13(X22) )
| ( p14(X22)
& ~ p13(X22) ) ) ) ) )
| ~ ! [X25] :
( ~ ( ( p12(X25)
& ~ p11(X25) )
| ( p11(X25)
& ~ p12(X25) ) )
| ~ r1(X19,X25) ) )
| ~ ! [X18] :
( ~ r1(X17,X18)
| ~ ( ( ~ p10(X18)
& p11(X18) )
| ( p10(X18)
& ~ p11(X18) ) ) ) )
| ~ r1(X14,X15)
| ~ ! [X16] :
( ~ ( ( ~ p9(X16)
& p10(X16) )
| ( p9(X16)
& ~ p10(X16) ) )
| ~ r1(X15,X16) ) )
| ~ ! [X26] :
( ~ ( ( ~ p9(X26)
& p8(X26) )
| ( p9(X26)
& ~ p8(X26) ) )
| ~ r1(X14,X26) )
| ~ r1(X13,X14) ) )
| ~ ! [X12] :
( ~ ( ( ~ p6(X12)
& p7(X12) )
| ( p6(X12)
& ~ p7(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X9,X11) )
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ ( ( p6(X10)
& ~ p5(X10) )
| ( ~ p6(X10)
& p5(X10) ) ) )
| ~ r1(X7,X9) ) )
| ~ ! [X28] :
( ~ r1(X6,X28)
| ~ ( ( ~ p4(X28)
& p3(X28) )
| ( ~ p3(X28)
& p4(X28) ) ) )
| ~ r1(X5,X6) ) )
| ~ ! [X30] :
( ~ r1(X2,X30)
| ~ ( ( p2(X30)
& ~ p1(X30) )
| ( ~ p2(X30)
& p1(X30) ) ) )
| ! [X4] :
( ~ r1(X2,X4)
| p15(X4) )
| ! [X3] :
( ( p4(X3)
& p3(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( p14(X3)
& p13(X3) )
| ( p12(X3)
& p11(X3) )
| ( ~ p11(X3)
& ~ p12(X3) )
| ( p12(X3)
& p13(X3) )
| ( ~ p8(X3)
& ~ p9(X3) )
| ( p10(X3)
& p11(X3) )
| ( ~ p5(X3)
& ~ p4(X3) )
| ( p6(X3)
& p5(X3) )
| ( ~ p1(X3)
& ~ p2(X3) )
| ( ~ p9(X3)
& ~ p10(X3) )
| ( p7(X3)
& p8(X3) )
| ( p2(X3)
& p3(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p6(X3)
& p7(X3) )
| ~ r1(X2,X3)
| ( ~ p6(X3)
& ~ p5(X3) )
| ( ~ p3(X3)
& ~ p4(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( ~ p13(X3)
& ~ p14(X3) )
| ( p9(X3)
& p10(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p8(X3)
& ~ p7(X3) )
| ( ~ p6(X3)
& ~ p7(X3) )
| ( p9(X3)
& p8(X3) )
| ( p2(X3)
& p1(X3) ) ) )
| ~ r1(X1,X2) )
| ~ r1(X0,X1) ) ),
inference(true_and_false_elimination,[],[f6]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ! [X3] :
( ( p4(X3)
& p3(X3) )
| ( ~ p11(X3)
& ~ p10(X3) )
| ( p14(X3)
& p13(X3) )
| ( p12(X3)
& p11(X3) )
| ( ~ p11(X3)
& ~ p12(X3) )
| ( p12(X3)
& p13(X3) )
| ( ~ p8(X3)
& ~ p9(X3) )
| ( p10(X3)
& p11(X3) )
| ( ~ p5(X3)
& ~ p4(X3) )
| ( p6(X3)
& p5(X3) )
| ( ~ p1(X3)
& ~ p2(X3) )
| ( ~ p9(X3)
& ~ p10(X3) )
| ( p7(X3)
& p8(X3) )
| ( p2(X3)
& p3(X3) )
| ( ~ p3(X3)
& ~ p2(X3) )
| ( p6(X3)
& p7(X3) )
| ~ r1(X2,X3)
| ( ~ p6(X3)
& ~ p5(X3) )
| ( ~ p3(X3)
& ~ p4(X3) )
| ( ~ p13(X3)
& ~ p12(X3) )
| ( ~ p13(X3)
& ~ p14(X3) )
| ( p9(X3)
& p10(X3) )
| ( p4(X3)
& p5(X3) )
| ( ~ p8(X3)
& ~ p7(X3) )
| ( ~ p6(X3)
& ~ p7(X3) )
| ( p9(X3)
& p8(X3) )
| ( p2(X3)
& p1(X3) ) )
| ! [X4] :
( ~ r1(X2,X4)
| p15(X4) )
| ! [X5] :
( ! [X6] :
( ~ r1(X5,X6)
| ! [X7] :
( ~ ! [X8] :
( ~ ( ( p4(X8)
& ~ p5(X8) )
| ( ~ p4(X8)
& p5(X8) ) )
| ~ r1(X7,X8) )
| ! [X9] :
( ~ r1(X7,X9)
| ~ ! [X10] :
( ~ r1(X9,X10)
| ~ ( ( p6(X10)
& ~ p5(X10) )
| ( ~ p6(X10)
& p5(X10) ) ) )
| ! [X11] :
( ~ ! [X12] :
( ~ ( ( ~ p6(X12)
& p7(X12) )
| ( p6(X12)
& ~ p7(X12) ) )
| ~ r1(X11,X12) )
| ~ r1(X9,X11)
| ! [X13] :
( ~ r1(X11,X13)
| ! [X14] :
( ~ r1(X13,X14)
| ! [X15] :
( ~ ! [X16] :
( ~ ( ( ~ p9(X16)
& p10(X16) )
| ( p9(X16)
& ~ p10(X16) ) )
| ~ r1(X15,X16) )
| ~ r1(X14,X15)
| ! [X17] :
( ~ ! [X18] :
( ~ r1(X17,X18)
| ~ ( ( ~ p10(X18)
& p11(X18) )
| ( p10(X18)
& ~ p11(X18) ) ) )
| ~ r1(X15,X17)
| ! [X19] :
( ! [X20] :
( ! [X21] :
( ~ ! [X22] :
( ~ r1(X21,X22)
| ~ ( ( ~ p14(X22)
& p13(X22) )
| ( p14(X22)
& ~ p13(X22) ) ) )
| ~ r1(X20,X21)
| ! [X23] :
( $false
| ~ r1(X21,X23) ) )
| ~ r1(X19,X20)
| ~ ! [X24] :
( ~ r1(X20,X24)
| ~ ( ( p12(X24)
& ~ p13(X24) )
| ( ~ p12(X24)
& p13(X24) ) ) ) )
| ~ r1(X17,X19)
| ~ ! [X25] :
( ~ ( ( p12(X25)
& ~ p11(X25) )
| ( p11(X25)
& ~ p12(X25) ) )
| ~ r1(X19,X25) ) ) ) )
| ~ ! [X26] :
( ~ ( ( ~ p9(X26)
& p8(X26) )
| ( p9(X26)
& ~ p8(X26) ) )
| ~ r1(X14,X26) ) )
| ~ ! [X27] :
( ~ r1(X13,X27)
| ~ ( ( ~ p7(X27)
& p8(X27) )
| ( ~ p8(X27)
& p7(X27) ) ) ) ) ) )
| ~ r1(X6,X7) )
| ~ ! [X28] :
( ~ r1(X6,X28)
| ~ ( ( ~ p4(X28)
& p3(X28) )
| ( ~ p3(X28)
& p4(X28) ) ) ) )
| ~ ! [X29] :
( ~ ( ( p3(X29)
& ~ p2(X29) )
| ( p2(X29)
& ~ p3(X29) ) )
| ~ r1(X5,X29) )
| ~ r1(X2,X5) )
| ~ ! [X30] :
( ~ r1(X2,X30)
| ~ ( ( p2(X30)
& ~ p1(X30) )
| ( ~ p2(X30)
& p1(X30) ) ) ) ) ) )
| ! [X31] :
( ~ r1(X0,X31)
| ! [X32] :
( ~ r1(X31,X32)
| ~ p1(X32) )
| ~ p15(X31) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ( p13(X1)
& p14(X1) )
| ( ~ p11(X1)
& ~ p10(X1) )
| ( ~ p8(X1)
& ~ p7(X1) )
| ( ~ p2(X1)
& ~ p3(X1) )
| ~ r1(X0,X1)
| ( p10(X1)
& p11(X1) )
| ( p4(X1)
& p3(X1) )
| ( ~ p8(X1)
& ~ p9(X1) )
| ( ~ p11(X1)
& ~ p12(X1) )
| ( p5(X1)
& p6(X1) )
| ( ~ p12(X1)
& ~ p13(X1) )
| ( ~ p4(X1)
& ~ p5(X1) )
| ( ~ p7(X1)
& ~ p6(X1) )
| ( ~ p4(X1)
& ~ p3(X1) )
| ( p7(X1)
& p8(X1) )
| ( p7(X1)
& p6(X1) )
| ( ~ p1(X1)
& ~ p2(X1) )
| ( p3(X1)
& p2(X1) )
| ( p12(X1)
& p13(X1) )
| ( ~ p14(X1)
& ~ p13(X1) )
| ( p4(X1)
& p5(X1) )
| ( ~ p10(X1)
& ~ p9(X1) )
| ( p8(X1)
& p9(X1) )
| ( p10(X1)
& p9(X1) )
| ( ~ p6(X1)
& ~ p5(X1) )
| ( p2(X1)
& p1(X1) )
| ( p11(X1)
& p12(X1) ) )
| ! [X1] :
( p15(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p4(X0)
& ~ p5(X0) )
| ( p5(X0)
& ~ p4(X0) ) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ ( ( p5(X1)
& ~ p6(X1) )
| ( p6(X1)
& ~ p5(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p6(X0)
& p7(X0) )
| ( ~ p7(X0)
& p6(X0) ) ) )
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( ~ p9(X1)
& p10(X1) )
| ( ~ p10(X1)
& p9(X1) ) ) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ p10(X0)
& p11(X0) )
| ( ~ p11(X0)
& p10(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ ( ( p13(X1)
& ~ p14(X1) )
| ( p14(X1)
& ~ p13(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( ( ~ p13(X0)
& p12(X0) )
| ( p13(X0)
& ~ p12(X0) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ ( ( ~ p11(X1)
& p12(X1) )
| ( p11(X1)
& ~ p12(X1) ) )
| ~ r1(X0,X1) ) ) ) )
| ~ ! [X0] :
( ~ ( ( p9(X0)
& ~ p8(X0) )
| ( ~ p9(X0)
& p8(X0) ) )
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( ~ ( ( p7(X1)
& ~ p8(X1) )
| ( ~ p7(X1)
& p8(X1) ) )
| ~ r1(X0,X1) ) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( ~ p3(X1)
& p4(X1) )
| ( p3(X1)
& ~ p4(X1) ) ) ) )
| ~ ! [X0] :
( ~ ( ( ~ p3(X0)
& p2(X0) )
| ( p3(X0)
& ~ p2(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( ~ p1(X1)
& p2(X1) )
| ( ~ p2(X1)
& p1(X1) ) ) ) ) ) )
| ! [X1] :
( ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p15(X1) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( ( p13(X1)
& p14(X1) )
| ( ~ p11(X1)
& ~ p10(X1) )
| ( ~ p8(X1)
& ~ p7(X1) )
| ( ~ p2(X1)
& ~ p3(X1) )
| ~ r1(X0,X1)
| ( p10(X1)
& p11(X1) )
| ( p4(X1)
& p3(X1) )
| ( ~ p8(X1)
& ~ p9(X1) )
| ( ~ p11(X1)
& ~ p12(X1) )
| ( p5(X1)
& p6(X1) )
| ( ~ p12(X1)
& ~ p13(X1) )
| ( ~ p4(X1)
& ~ p5(X1) )
| ( ~ p7(X1)
& ~ p6(X1) )
| ( ~ p4(X1)
& ~ p3(X1) )
| ( p7(X1)
& p8(X1) )
| ( p7(X1)
& p6(X1) )
| ( ~ p1(X1)
& ~ p2(X1) )
| ( p3(X1)
& p2(X1) )
| ( p12(X1)
& p13(X1) )
| ( ~ p14(X1)
& ~ p13(X1) )
| ( p4(X1)
& p5(X1) )
| ( ~ p10(X1)
& ~ p9(X1) )
| ( p8(X1)
& p9(X1) )
| ( p10(X1)
& p9(X1) )
| ( ~ p6(X1)
& ~ p5(X1) )
| ( p2(X1)
& p1(X1) )
| ( p11(X1)
& p12(X1) ) )
| ! [X1] :
( p15(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p4(X0)
& ~ p5(X0) )
| ( p5(X0)
& ~ p4(X0) ) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ~ ( ( p5(X1)
& ~ p6(X1) )
| ( p6(X1)
& ~ p5(X1) ) )
| ~ r1(X0,X1) )
| ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( ~ p6(X0)
& p7(X0) )
| ( ~ p7(X0)
& p6(X0) ) ) )
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( ~ p9(X1)
& p10(X1) )
| ( ~ p10(X1)
& p9(X1) ) ) )
| ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ p10(X0)
& p11(X0) )
| ( ~ p11(X0)
& p10(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ! [X0] :
( ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ ( ( p13(X1)
& ~ p14(X1) )
| ( p14(X1)
& ~ p13(X1) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ ( ( ~ p13(X0)
& p12(X0) )
| ( p13(X0)
& ~ p12(X0) ) )
| ~ r1(X1,X0) ) )
| ~ r1(X1,X0)
| ~ ! [X1] :
( ~ ( ( ~ p11(X1)
& p12(X1) )
| ( p11(X1)
& ~ p12(X1) ) )
| ~ r1(X0,X1) ) ) ) )
| ~ ! [X0] :
( ~ ( ( p9(X0)
& ~ p8(X0) )
| ( ~ p9(X0)
& p8(X0) ) )
| ~ r1(X1,X0) ) )
| ~ ! [X1] :
( ~ ( ( p7(X1)
& ~ p8(X1) )
| ( ~ p7(X1)
& p8(X1) ) )
| ~ r1(X0,X1) ) ) ) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( ~ p3(X1)
& p4(X1) )
| ( p3(X1)
& ~ p4(X1) ) ) ) )
| ~ ! [X0] :
( ~ ( ( ~ p3(X0)
& p2(X0) )
| ( p3(X0)
& ~ p2(X0) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( ~ p1(X1)
& p2(X1) )
| ( ~ p2(X1)
& p1(X1) ) ) ) ) ) )
| ! [X1] :
( ! [X0] :
( ~ p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| ~ p15(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f84,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK9(X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( ( p2(sK9(X0))
| p3(sK9(X0)) )
& ( p10(sK9(X0))
| p9(sK9(X0)) )
& ( ~ p11(sK9(X0))
| ~ p10(sK9(X0)) )
& ( ~ p9(sK9(X0))
| ~ p10(sK9(X0)) )
& ( p11(sK9(X0))
| p12(sK9(X0)) )
& ( ~ p7(sK9(X0))
| ~ p8(sK9(X0)) )
& ( ~ p13(sK9(X0))
| ~ p14(sK9(X0)) )
& ( p12(sK9(X0))
| p13(sK9(X0)) )
& ( p6(sK9(X0))
| p5(sK9(X0)) )
& ( ~ p8(sK9(X0))
| ~ p9(sK9(X0)) )
& ( ~ p4(sK9(X0))
| ~ p5(sK9(X0)) )
& ( p10(sK9(X0))
| p11(sK9(X0)) )
& r1(X0,sK9(X0))
& ( ~ p3(sK9(X0))
| ~ p4(sK9(X0)) )
& ( ~ p11(sK9(X0))
| ~ p12(sK9(X0)) )
& ( p6(sK9(X0))
| p7(sK9(X0)) )
& ( p1(sK9(X0))
| p2(sK9(X0)) )
& ( ~ p1(sK9(X0))
| ~ p2(sK9(X0)) )
& ( p4(sK9(X0))
| p5(sK9(X0)) )
& ( ~ p12(sK9(X0))
| ~ p13(sK9(X0)) )
& ( p8(sK9(X0))
| p7(sK9(X0)) )
& ( p8(sK9(X0))
| p9(sK9(X0)) )
& ( ~ p6(sK9(X0))
| ~ p5(sK9(X0)) )
& ( p14(sK9(X0))
| p13(sK9(X0)) )
& ( ~ p7(sK9(X0))
| ~ p6(sK9(X0)) )
& ( ~ p3(sK9(X0))
| ~ p2(sK9(X0)) )
& ( p4(sK9(X0))
| p3(sK9(X0)) ) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f26,f27]) ).
fof(f27,plain,
! [X0] :
( ? [X1] :
( ( p2(X1)
| p3(X1) )
& ( p10(X1)
| p9(X1) )
& ( ~ p11(X1)
| ~ p10(X1) )
& ( ~ p9(X1)
| ~ p10(X1) )
& ( p11(X1)
| p12(X1) )
& ( ~ p7(X1)
| ~ p8(X1) )
& ( ~ p13(X1)
| ~ p14(X1) )
& ( p12(X1)
| p13(X1) )
& ( p6(X1)
| p5(X1) )
& ( ~ p8(X1)
| ~ p9(X1) )
& ( ~ p4(X1)
| ~ p5(X1) )
& ( p10(X1)
| p11(X1) )
& r1(X0,X1)
& ( ~ p3(X1)
| ~ p4(X1) )
& ( ~ p11(X1)
| ~ p12(X1) )
& ( p6(X1)
| p7(X1) )
& ( p1(X1)
| p2(X1) )
& ( ~ p1(X1)
| ~ p2(X1) )
& ( p4(X1)
| p5(X1) )
& ( ~ p12(X1)
| ~ p13(X1) )
& ( p8(X1)
| p7(X1) )
& ( p8(X1)
| p9(X1) )
& ( ~ p6(X1)
| ~ p5(X1) )
& ( p14(X1)
| p13(X1) )
& ( ~ p7(X1)
| ~ p6(X1) )
& ( ~ p3(X1)
| ~ p2(X1) )
& ( p4(X1)
| p3(X1) ) )
=> ( ( p2(sK9(X0))
| p3(sK9(X0)) )
& ( p10(sK9(X0))
| p9(sK9(X0)) )
& ( ~ p11(sK9(X0))
| ~ p10(sK9(X0)) )
& ( ~ p9(sK9(X0))
| ~ p10(sK9(X0)) )
& ( p11(sK9(X0))
| p12(sK9(X0)) )
& ( ~ p7(sK9(X0))
| ~ p8(sK9(X0)) )
& ( ~ p13(sK9(X0))
| ~ p14(sK9(X0)) )
& ( p12(sK9(X0))
| p13(sK9(X0)) )
& ( p6(sK9(X0))
| p5(sK9(X0)) )
& ( ~ p8(sK9(X0))
| ~ p9(sK9(X0)) )
& ( ~ p4(sK9(X0))
| ~ p5(sK9(X0)) )
& ( p10(sK9(X0))
| p11(sK9(X0)) )
& r1(X0,sK9(X0))
& ( ~ p3(sK9(X0))
| ~ p4(sK9(X0)) )
& ( ~ p11(sK9(X0))
| ~ p12(sK9(X0)) )
& ( p6(sK9(X0))
| p7(sK9(X0)) )
& ( p1(sK9(X0))
| p2(sK9(X0)) )
& ( ~ p1(sK9(X0))
| ~ p2(sK9(X0)) )
& ( p4(sK9(X0))
| p5(sK9(X0)) )
& ( ~ p12(sK9(X0))
| ~ p13(sK9(X0)) )
& ( p8(sK9(X0))
| p7(sK9(X0)) )
& ( p8(sK9(X0))
| p9(sK9(X0)) )
& ( ~ p6(sK9(X0))
| ~ p5(sK9(X0)) )
& ( p14(sK9(X0))
| p13(sK9(X0)) )
& ( ~ p7(sK9(X0))
| ~ p6(sK9(X0)) )
& ( ~ p3(sK9(X0))
| ~ p2(sK9(X0)) )
& ( p4(sK9(X0))
| p3(sK9(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( ( p2(X1)
| p3(X1) )
& ( p10(X1)
| p9(X1) )
& ( ~ p11(X1)
| ~ p10(X1) )
& ( ~ p9(X1)
| ~ p10(X1) )
& ( p11(X1)
| p12(X1) )
& ( ~ p7(X1)
| ~ p8(X1) )
& ( ~ p13(X1)
| ~ p14(X1) )
& ( p12(X1)
| p13(X1) )
& ( p6(X1)
| p5(X1) )
& ( ~ p8(X1)
| ~ p9(X1) )
& ( ~ p4(X1)
| ~ p5(X1) )
& ( p10(X1)
| p11(X1) )
& r1(X0,X1)
& ( ~ p3(X1)
| ~ p4(X1) )
& ( ~ p11(X1)
| ~ p12(X1) )
& ( p6(X1)
| p7(X1) )
& ( p1(X1)
| p2(X1) )
& ( ~ p1(X1)
| ~ p2(X1) )
& ( p4(X1)
| p5(X1) )
& ( ~ p12(X1)
| ~ p13(X1) )
& ( p8(X1)
| p7(X1) )
& ( p8(X1)
| p9(X1) )
& ( ~ p6(X1)
| ~ p5(X1) )
& ( p14(X1)
| p13(X1) )
& ( ~ p7(X1)
| ~ p6(X1) )
& ( ~ p3(X1)
| ~ p2(X1) )
& ( p4(X1)
| p3(X1) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X2] :
( ? [X3] :
( ( p2(X3)
| p3(X3) )
& ( p10(X3)
| p9(X3) )
& ( ~ p11(X3)
| ~ p10(X3) )
& ( ~ p9(X3)
| ~ p10(X3) )
& ( p11(X3)
| p12(X3) )
& ( ~ p7(X3)
| ~ p8(X3) )
& ( ~ p13(X3)
| ~ p14(X3) )
& ( p12(X3)
| p13(X3) )
& ( p6(X3)
| p5(X3) )
& ( ~ p8(X3)
| ~ p9(X3) )
& ( ~ p4(X3)
| ~ p5(X3) )
& ( p10(X3)
| p11(X3) )
& r1(X2,X3)
& ( ~ p3(X3)
| ~ p4(X3) )
& ( ~ p11(X3)
| ~ p12(X3) )
& ( p6(X3)
| p7(X3) )
& ( p1(X3)
| p2(X3) )
& ( ~ p1(X3)
| ~ p2(X3) )
& ( p4(X3)
| p5(X3) )
& ( ~ p12(X3)
| ~ p13(X3) )
& ( p8(X3)
| p7(X3) )
& ( p8(X3)
| p9(X3) )
& ( ~ p6(X3)
| ~ p5(X3) )
& ( p14(X3)
| p13(X3) )
& ( ~ p7(X3)
| ~ p6(X3) )
& ( ~ p3(X3)
| ~ p2(X3) )
& ( p4(X3)
| p3(X3) ) )
| ~ sP5(X2) ),
inference(nnf_transformation,[],[f17]) ).
fof(f185,plain,
! [X0,X1] :
( ~ r1(X0,sK9(X1))
| ~ r1(sK24,X0)
| ~ r1(sK24,X1) ),
inference(resolution,[],[f184,f137]) ).
fof(f184,plain,
! [X2,X1] :
( ~ sP5(X1)
| ~ r1(X2,sK9(X1))
| ~ r1(sK24,X2) ),
inference(subsumption_resolution,[],[f182,f179]) ).
fof(f179,plain,
! [X0,X1] :
( ~ p2(sK9(X0))
| ~ sP5(X0)
| ~ r1(X1,sK9(X0))
| ~ r1(sK24,X1) ),
inference(duplicate_literal_removal,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ~ p2(sK9(X0))
| ~ r1(sK24,X1)
| ~ p2(sK9(X0))
| ~ sP5(X0)
| ~ r1(X1,sK9(X0)) ),
inference(resolution,[],[f79,f136]) ).
fof(f136,plain,
! [X4,X5] :
( p1(X5)
| ~ p2(X5)
| ~ r1(sK24,X4)
| ~ r1(X4,X5) ),
inference(cnf_transformation,[],[f61]) ).
fof(f79,plain,
! [X0] :
( ~ p1(sK9(X0))
| ~ p2(sK9(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f182,plain,
! [X2,X1] :
( ~ r1(X2,sK9(X1))
| ~ sP5(X1)
| p2(sK9(X1))
| ~ r1(sK24,X2) ),
inference(duplicate_literal_removal,[],[f181]) ).
fof(f181,plain,
! [X2,X1] :
( p2(sK9(X1))
| ~ sP5(X1)
| p2(sK9(X1))
| ~ r1(X2,sK9(X1))
| ~ r1(sK24,X2) ),
inference(resolution,[],[f80,f135]) ).
fof(f135,plain,
! [X4,X5] :
( ~ p1(X5)
| ~ r1(sK24,X4)
| p2(X5)
| ~ r1(X4,X5) ),
inference(cnf_transformation,[],[f61]) ).
fof(f80,plain,
! [X0] :
( p1(sK9(X0))
| ~ sP5(X0)
| p2(sK9(X0)) ),
inference(cnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL686+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 02:40:27 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.49 % (3588)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)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 % (3604)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)
% 0.20/0.50 TRYING [2]
% 0.20/0.50 % (3596)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)
% 0.20/0.50 TRYING [3]
% 0.20/0.51 % (3585)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)
% 0.20/0.51 % (3605)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)
% 0.20/0.51 % (3597)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)
% 0.20/0.51 % (3601)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (3591)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (3586)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (3592)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (3593)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (3589)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 TRYING [4]
% 0.20/0.52 % (3604)First to succeed.
% 0.20/0.52 TRYING [5]
% 0.20/0.53 % (3597)Also succeeded, but the first one will report.
% 0.20/0.53 % (3584)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (3582)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)
% 0.20/0.53 % (3604)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (3604)------------------------------
% 0.20/0.53 % (3604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (3604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (3604)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (3604)Memory used [KB]: 1279
% 0.20/0.53 % (3604)Time elapsed: 0.109 s
% 0.20/0.53 % (3604)Instructions burned: 6 (million)
% 0.20/0.53 % (3604)------------------------------
% 0.20/0.53 % (3604)------------------------------
% 0.20/0.53 % (3581)Success in time 0.174 s
%------------------------------------------------------------------------------