TSTP Solution File: SWC248+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC248+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.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 18:39:52 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 87 ( 9 unt; 0 def)
% Number of atoms : 852 ( 230 equ)
% Maximal formula atoms : 72 ( 9 avg)
% Number of connectives : 1247 ( 482 ~; 456 |; 277 &)
% ( 4 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 340 ( 238 !; 102 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f536,plain,
$false,
inference(avatar_sat_refutation,[],[f314,f315,f506,f518,f533]) ).
fof(f533,plain,
( spl19_1
| ~ spl19_3
| ~ spl19_8
| ~ spl19_9 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| spl19_1
| ~ spl19_3
| ~ spl19_8
| ~ spl19_9 ),
inference(subsumption_resolution,[],[f530,f505]) ).
fof(f505,plain,
( ssItem(sK16(sK1(sK14),nil,sK0(sK14)))
| ~ spl19_9 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f503,plain,
( spl19_9
<=> ssItem(sK16(sK1(sK14),nil,sK0(sK14))) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).
fof(f530,plain,
( ~ ssItem(sK16(sK1(sK14),nil,sK0(sK14)))
| spl19_1
| ~ spl19_3
| ~ spl19_8 ),
inference(resolution,[],[f529,f209]) ).
fof(f209,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f529,plain,
( memberP(nil,sK16(sK1(sK14),nil,sK0(sK14)))
| spl19_1
| ~ spl19_3
| ~ spl19_8 ),
inference(subsumption_resolution,[],[f528,f255]) ).
fof(f255,plain,
ssList(sK14),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( nil != sK12
& sK13 = sK15
& ( nil != sK14
| nil = sK15 )
& sK12 = sK14
& ssList(sK15)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK12
| ( ssItem(sK16(X4,X5,X6))
& memberP(X5,sK16(X4,X5,X6))
& lt(X4,sK16(X4,X5,X6))
& ~ leq(X4,sK16(X4,X5,X6))
& memberP(X6,sK16(X4,X5,X6)) )
| ~ ssList(X6) )
| ~ ssList(X5) ) )
& ssList(sK17)
& ssList(sK18)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != sK17
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != sK14 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != sK18
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != sK14
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(sK14)
& app(app(sK17,sK14),sK18) = sK15
& ssList(sK14)
& ssList(sK13)
& ssList(sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16,sK17,sK18])],[f179,f186,f185,f184,f183,f182,f181,f180]) ).
fof(f180,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil != X0
& X1 = X3
& ( nil != X2
| nil = X3 )
& X0 = X2
& ssList(X3)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X0
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7)
& ~ leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6) )
| ~ ssList(X5) ) )
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X8
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != X2
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(X2)
& app(app(X8,X2),X9) = X3 ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil != sK12
& X1 = X3
& ( nil != X2
| nil = X3 )
& sK12 = X2
& ssList(X3)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK12
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7)
& ~ leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6) )
| ~ ssList(X5) ) )
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X8
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != X2
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(X2)
& app(app(X8,X2),X9) = X3 ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil != sK12
& X1 = X3
& ( nil != X2
| nil = X3 )
& sK12 = X2
& ssList(X3)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK12
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7)
& ~ leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6) )
| ~ ssList(X5) ) )
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X8
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != X2
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(X2)
& app(app(X8,X2),X9) = X3 ) ) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( nil != sK12
& sK13 = X3
& ( nil != X2
| nil = X3 )
& sK12 = X2
& ssList(X3)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK12
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7)
& ~ leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6) )
| ~ ssList(X5) ) )
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X8
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != X2
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(X2)
& app(app(X8,X2),X9) = X3 ) ) )
& ssList(X2) )
& ssList(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
( ? [X2] :
( ? [X3] :
( nil != sK12
& sK13 = X3
& ( nil != X2
| nil = X3 )
& sK12 = X2
& ssList(X3)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK12
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7)
& ~ leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6) )
| ~ ssList(X5) ) )
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X8
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != X2
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(X2)
& app(app(X8,X2),X9) = X3 ) ) )
& ssList(X2) )
=> ( ? [X3] :
( nil != sK12
& sK13 = X3
& ( nil != sK14
| nil = X3 )
& sK12 = sK14
& ssList(X3)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK12
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7)
& ~ leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6) )
| ~ ssList(X5) ) )
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X8
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != sK14 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != sK14
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(sK14)
& app(app(X8,sK14),X9) = X3 ) ) )
& ssList(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
( ? [X3] :
( nil != sK12
& sK13 = X3
& ( nil != sK14
| nil = X3 )
& sK12 = sK14
& ssList(X3)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK12
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7)
& ~ leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6) )
| ~ ssList(X5) ) )
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X8
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != sK14 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != sK14
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(sK14)
& app(app(X8,sK14),X9) = X3 ) ) )
=> ( nil != sK12
& sK13 = sK15
& ( nil != sK14
| nil = sK15 )
& sK12 = sK14
& ssList(sK15)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK12
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7)
& ~ leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6) )
| ~ ssList(X5) ) )
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X8
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != sK14 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != sK14
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(sK14)
& app(app(X8,sK14),X9) = sK15 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X4,X5,X6] :
( ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7)
& ~ leq(X4,X7)
& memberP(X6,X7) )
=> ( ssItem(sK16(X4,X5,X6))
& memberP(X5,sK16(X4,X5,X6))
& lt(X4,sK16(X4,X5,X6))
& ~ leq(X4,sK16(X4,X5,X6))
& memberP(X6,sK16(X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X8
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != sK14 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != sK14
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(sK14)
& app(app(X8,sK14),X9) = sK15 ) )
=> ( ssList(sK17)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != sK17
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != sK14 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != sK14
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(sK14)
& app(app(sK17,sK14),X9) = sK15 ) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != sK17
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != sK14 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != sK14
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(sK14)
& app(app(sK17,sK14),X9) = sK15 )
=> ( ssList(sK18)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != sK17
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != sK14 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != sK18
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != sK14
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(sK14)
& app(app(sK17,sK14),sK18) = sK15 ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil != X0
& X1 = X3
& ( nil != X2
| nil = X3 )
& X0 = X2
& ssList(X3)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X0
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7)
& ~ leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6) )
| ~ ssList(X5) ) )
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X8
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(cons(X14,nil),X15) != X9
| ! [X16] :
( ~ ssItem(X16)
| ! [X17] :
( app(X17,cons(X16,nil)) != X2
| ~ leq(X16,X14)
| ~ ssList(X17) ) )
| ~ ssList(X15) )
| ~ ssItem(X14) )
& totalorderedP(X2)
& app(app(X8,X2),X9) = X3 ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil != X0
& X1 = X3
& ( nil != X2
| nil = X3 )
& X0 = X2
& ssList(X3)
& ! [X14] :
( ~ ssItem(X14)
| ! [X15] :
( ! [X16] :
( app(app(X15,cons(X14,nil)),X16) != X0
| ? [X17] :
( ssItem(X17)
& memberP(X15,X17)
& lt(X14,X17)
& ~ leq(X14,X17)
& memberP(X16,X17) )
| ~ ssList(X16) )
| ~ ssList(X15) ) )
& ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X4
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ leq(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( app(X9,cons(X8,nil)) != X2
| ~ leq(X8,X6)
| ~ ssList(X9) ) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& totalorderedP(X2)
& app(app(X4,X2),X5) = X3 ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X4] :
( ssList(X4)
=> ! [X5] :
( ~ totalorderedP(X2)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ? [X8] :
( ? [X9] :
( ssList(X9)
& app(X9,cons(X8,nil)) = X2
& leq(X8,X6) )
& ssItem(X8) )
& app(cons(X6,nil),X7) = X5
& ssList(X7) ) )
| app(app(X4,X2),X5) != X3
| ~ ssList(X5)
| ? [X10] :
( ? [X11] :
( app(X11,cons(X10,nil)) = X4
& ssList(X11)
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& leq(X10,X12)
& app(cons(X12,nil),X13) = X2 ) ) )
& ssItem(X10) ) ) )
| X1 != X3
| nil = X0
| X0 != X2
| ~ ssList(X3)
| ( nil != X3
& nil = X2 )
| ? [X14] :
( ssItem(X14)
& ? [X15] :
( ? [X16] :
( app(app(X15,cons(X14,nil)),X16) = X0
& ! [X17] :
( ~ ssItem(X17)
| ~ lt(X14,X17)
| ~ memberP(X16,X17)
| leq(X14,X17)
| ~ memberP(X15,X17) )
& ssList(X16) )
& ssList(X15) ) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil != X3
& nil = X2 )
| nil = X0
| X1 != X3
| ~ ssList(X3)
| ! [X8] :
( ssList(X8)
=> ! [X9] :
( ? [X14] :
( ssItem(X14)
& ? [X15] :
( ? [X16] :
( ssItem(X16)
& ? [X17] :
( app(X17,cons(X16,nil)) = X2
& leq(X16,X14)
& ssList(X17) ) )
& app(cons(X14,nil),X15) = X9
& ssList(X15) ) )
| app(app(X8,X2),X9) != X3
| ? [X10] :
( ? [X11] :
( ssList(X11)
& app(X11,cons(X10,nil)) = X8
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& leq(X10,X12)
& app(cons(X12,nil),X13) = X2 ) ) )
& ssItem(X10) )
| ~ totalorderedP(X2)
| ~ ssList(X9) ) )
| X0 != X2
| ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ! [X7] :
( ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7)
| ~ lt(X4,X7)
| ~ memberP(X6,X7) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) ) )
& ssItem(X4) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil != X3
& nil = X2 )
| nil = X0
| X1 != X3
| ~ ssList(X3)
| ! [X8] :
( ssList(X8)
=> ! [X9] :
( ? [X14] :
( ssItem(X14)
& ? [X15] :
( ? [X16] :
( ssItem(X16)
& ? [X17] :
( app(X17,cons(X16,nil)) = X2
& leq(X16,X14)
& ssList(X17) ) )
& app(cons(X14,nil),X15) = X9
& ssList(X15) ) )
| app(app(X8,X2),X9) != X3
| ? [X10] :
( ? [X11] :
( ssList(X11)
& app(X11,cons(X10,nil)) = X8
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& leq(X10,X12)
& app(cons(X12,nil),X13) = X2 ) ) )
& ssItem(X10) )
| ~ totalorderedP(X2)
| ~ ssList(X9) ) )
| X0 != X2
| ? [X4] :
( ? [X5] :
( ssList(X5)
& ? [X6] :
( ! [X7] :
( ~ memberP(X5,X7)
| leq(X4,X7)
| ~ ssItem(X7)
| ~ lt(X4,X7)
| ~ memberP(X6,X7) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) ) )
& ssItem(X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f528,plain,
( ~ ssList(sK14)
| memberP(nil,sK16(sK1(sK14),nil,sK0(sK14)))
| spl19_1
| ~ spl19_3
| ~ spl19_8 ),
inference(subsumption_resolution,[],[f527,f294]) ).
fof(f294,plain,
( nil != sK14
| spl19_1 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl19_1
<=> nil = sK14 ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f527,plain,
( memberP(nil,sK16(sK1(sK14),nil,sK0(sK14)))
| nil = sK14
| ~ ssList(sK14)
| ~ spl19_3
| ~ spl19_8 ),
inference(subsumption_resolution,[],[f526,f500]) ).
fof(f500,plain,
( ssList(cons(sK1(sK14),nil))
| ~ spl19_8 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f499,plain,
( spl19_8
<=> ssList(cons(sK1(sK14),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).
fof(f526,plain,
( memberP(nil,sK16(sK1(sK14),nil,sK0(sK14)))
| ~ ssList(cons(sK1(sK14),nil))
| ~ ssList(sK14)
| nil = sK14
| ~ spl19_3 ),
inference(equality_resolution,[],[f492]) ).
fof(f492,plain,
( ! [X0] :
( sK14 != X0
| nil = X0
| ~ ssList(cons(sK1(X0),nil))
| memberP(nil,sK16(sK1(X0),nil,sK0(X0)))
| ~ ssList(X0) )
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f491,f208]) ).
fof(f208,plain,
! [X0] :
( ssList(sK0(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( nil = X0
| ( ssList(sK0(X0))
& cons(sK1(X0),sK0(X0)) = X0
& ssItem(sK1(X0)) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f104,f155,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) )
=> ( ssList(sK0(X0))
& ? [X2] :
( cons(X2,sK0(X0)) = X0
& ssItem(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK0(X0)) = X0
& ssItem(X2) )
=> ( cons(sK1(X0),sK0(X0)) = X0
& ssItem(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) )
| nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f491,plain,
( ! [X0] :
( ~ ssList(sK0(X0))
| sK14 != X0
| memberP(nil,sK16(sK1(X0),nil,sK0(X0)))
| ~ ssList(X0)
| nil = X0
| ~ ssList(cons(sK1(X0),nil)) )
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f489,f206]) ).
fof(f206,plain,
! [X0] :
( ssItem(sK1(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f489,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssItem(sK1(X0))
| nil = X0
| ~ ssList(cons(sK1(X0),nil))
| memberP(nil,sK16(sK1(X0),nil,sK0(X0)))
| sK14 != X0
| ~ ssList(sK0(X0)) )
| ~ spl19_3 ),
inference(superposition,[],[f454,f207]) ).
fof(f207,plain,
! [X0] :
( cons(sK1(X0),sK0(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f454,plain,
( ! [X14,X15] :
( sK14 != cons(X14,X15)
| ~ ssItem(X14)
| ~ ssList(X15)
| memberP(nil,sK16(X14,nil,X15))
| ~ ssList(cons(X14,nil)) )
| ~ spl19_3 ),
inference(duplicate_literal_removal,[],[f433]) ).
fof(f433,plain,
( ! [X14,X15] :
( memberP(nil,sK16(X14,nil,X15))
| ~ ssItem(X14)
| ~ ssItem(X14)
| ~ ssList(X15)
| ~ ssList(X15)
| ~ ssList(cons(X14,nil))
| sK14 != cons(X14,X15) )
| ~ spl19_3 ),
inference(superposition,[],[f357,f219]) ).
fof(f219,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f357,plain,
( ! [X2,X3] :
( sK14 != app(cons(X2,nil),X3)
| ~ ssItem(X2)
| ~ ssList(X3)
| memberP(nil,sK16(X2,nil,X3))
| ~ ssList(cons(X2,nil)) )
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f331,f302]) ).
fof(f302,plain,
( ssList(nil)
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl19_3
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).
fof(f331,plain,
! [X2,X3] :
( ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(cons(X2,nil))
| memberP(nil,sK16(X2,nil,X3))
| sK14 != app(cons(X2,nil),X3)
| ~ ssList(nil) ),
inference(superposition,[],[f274,f252]) ).
fof(f252,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f274,plain,
! [X6,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK14
| ~ ssItem(X4)
| memberP(X5,sK16(X4,X5,X6))
| ~ ssList(X5)
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f265,f268]) ).
fof(f268,plain,
sK12 = sK14,
inference(cnf_transformation,[],[f187]) ).
fof(f265,plain,
! [X6,X4,X5] :
( ~ ssItem(X4)
| app(app(X5,cons(X4,nil)),X6) != sK12
| memberP(X5,sK16(X4,X5,X6))
| ~ ssList(X6)
| ~ ssList(X5) ),
inference(cnf_transformation,[],[f187]) ).
fof(f518,plain,
( spl19_1
| ~ spl19_3
| spl19_8 ),
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f517,plain,
( $false
| spl19_1
| ~ spl19_3
| spl19_8 ),
inference(subsumption_resolution,[],[f516,f255]) ).
fof(f516,plain,
( ~ ssList(sK14)
| spl19_1
| ~ spl19_3
| spl19_8 ),
inference(subsumption_resolution,[],[f512,f294]) ).
fof(f512,plain,
( nil = sK14
| ~ ssList(sK14)
| ~ spl19_3
| spl19_8 ),
inference(resolution,[],[f509,f206]) ).
fof(f509,plain,
( ~ ssItem(sK1(sK14))
| ~ spl19_3
| spl19_8 ),
inference(subsumption_resolution,[],[f507,f302]) ).
fof(f507,plain,
( ~ ssList(nil)
| ~ ssItem(sK1(sK14))
| spl19_8 ),
inference(resolution,[],[f501,f195]) ).
fof(f195,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f501,plain,
( ~ ssList(cons(sK1(sK14),nil))
| spl19_8 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f506,plain,
( ~ spl19_8
| spl19_9
| spl19_1
| ~ spl19_3 ),
inference(avatar_split_clause,[],[f497,f301,f292,f503,f499]) ).
fof(f497,plain,
( ssItem(sK16(sK1(sK14),nil,sK0(sK14)))
| ~ ssList(cons(sK1(sK14),nil))
| spl19_1
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f496,f294]) ).
fof(f496,plain,
( ~ ssList(cons(sK1(sK14),nil))
| nil = sK14
| ssItem(sK16(sK1(sK14),nil,sK0(sK14)))
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f495,f255]) ).
fof(f495,plain,
( ~ ssList(sK14)
| ~ ssList(cons(sK1(sK14),nil))
| nil = sK14
| ssItem(sK16(sK1(sK14),nil,sK0(sK14)))
| ~ spl19_3 ),
inference(equality_resolution,[],[f468]) ).
fof(f468,plain,
( ! [X0] :
( sK14 != X0
| ~ ssList(cons(sK1(X0),nil))
| ~ ssList(X0)
| nil = X0
| ssItem(sK16(sK1(X0),nil,sK0(X0))) )
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f467,f208]) ).
fof(f467,plain,
( ! [X0] :
( ssItem(sK16(sK1(X0),nil,sK0(X0)))
| nil = X0
| sK14 != X0
| ~ ssList(cons(sK1(X0),nil))
| ~ ssList(sK0(X0))
| ~ ssList(X0) )
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f465,f206]) ).
fof(f465,plain,
( ! [X0] :
( ssItem(sK16(sK1(X0),nil,sK0(X0)))
| ~ ssList(X0)
| nil = X0
| ~ ssItem(sK1(X0))
| ~ ssList(cons(sK1(X0),nil))
| ~ ssList(sK0(X0))
| sK14 != X0 )
| ~ spl19_3 ),
inference(superposition,[],[f459,f207]) ).
fof(f459,plain,
( ! [X12,X13] :
( sK14 != cons(X12,X13)
| ~ ssItem(X12)
| ssItem(sK16(X12,nil,X13))
| ~ ssList(cons(X12,nil))
| ~ ssList(X13) )
| ~ spl19_3 ),
inference(duplicate_literal_removal,[],[f432]) ).
fof(f432,plain,
( ! [X12,X13] :
( ~ ssItem(X12)
| ~ ssItem(X12)
| sK14 != cons(X12,X13)
| ~ ssList(X13)
| ssItem(sK16(X12,nil,X13))
| ~ ssList(cons(X12,nil))
| ~ ssList(X13) )
| ~ spl19_3 ),
inference(superposition,[],[f355,f219]) ).
fof(f355,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sK14
| ~ ssItem(X0)
| ssItem(sK16(X0,nil,X1))
| ~ ssList(X1)
| ~ ssList(cons(X0,nil)) )
| ~ spl19_3 ),
inference(subsumption_resolution,[],[f330,f302]) ).
fof(f330,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ssItem(sK16(X0,nil,X1))
| app(cons(X0,nil),X1) != sK14
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f273,f252]) ).
fof(f273,plain,
! [X6,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK14
| ~ ssItem(X4)
| ~ ssList(X6)
| ssItem(sK16(X4,X5,X6))
| ~ ssList(X5) ),
inference(definition_unfolding,[],[f266,f268]) ).
fof(f266,plain,
! [X6,X4,X5] :
( ~ ssItem(X4)
| app(app(X5,cons(X4,nil)),X6) != sK12
| ssItem(sK16(X4,X5,X6))
| ~ ssList(X6)
| ~ ssList(X5) ),
inference(cnf_transformation,[],[f187]) ).
fof(f315,plain,
~ spl19_1,
inference(avatar_split_clause,[],[f272,f292]) ).
fof(f272,plain,
nil != sK14,
inference(definition_unfolding,[],[f271,f268]) ).
fof(f271,plain,
nil != sK12,
inference(cnf_transformation,[],[f187]) ).
fof(f314,plain,
spl19_3,
inference(avatar_split_clause,[],[f217,f301]) ).
fof(f217,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC248+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 18:02:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (14541)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (14546)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.51 % (14551)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (14559)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.51 % (14557)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.51 % (14543)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (14547)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (14551)Instruction limit reached!
% 0.20/0.52 % (14551)------------------------------
% 0.20/0.52 % (14551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (14534)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (14556)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52 % (14551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (14551)Termination reason: Unknown
% 0.20/0.52 % (14551)Termination phase: Preprocessing 3
% 0.20/0.52
% 0.20/0.52 % (14551)Memory used [KB]: 1663
% 0.20/0.52 % (14551)Time elapsed: 0.004 s
% 0.20/0.52 % (14551)Instructions burned: 4 (million)
% 0.20/0.52 % (14551)------------------------------
% 0.20/0.52 % (14551)------------------------------
% 0.20/0.52 % (14536)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (14536)Instruction limit reached!
% 0.20/0.52 % (14536)------------------------------
% 0.20/0.52 % (14536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (14536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (14536)Termination reason: Unknown
% 0.20/0.52 % (14536)Termination phase: Preprocessing 2
% 0.20/0.52
% 0.20/0.52 % (14536)Memory used [KB]: 1535
% 0.20/0.52 % (14536)Time elapsed: 0.002 s
% 0.20/0.52 % (14536)Instructions burned: 3 (million)
% 0.20/0.52 % (14536)------------------------------
% 0.20/0.52 % (14536)------------------------------
% 0.20/0.52 % (14549)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (14540)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (14538)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (14535)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (14537)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (14560)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (14545)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (14539)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (14549)Instruction limit reached!
% 0.20/0.53 % (14549)------------------------------
% 0.20/0.53 % (14549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14552)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (14545)Instruction limit reached!
% 0.20/0.53 % (14545)------------------------------
% 0.20/0.53 % (14545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14545)Termination reason: Unknown
% 0.20/0.53 % (14545)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (14545)Memory used [KB]: 6140
% 0.20/0.53 % (14545)Time elapsed: 0.004 s
% 0.20/0.53 % (14545)Instructions burned: 7 (million)
% 0.20/0.53 % (14545)------------------------------
% 0.20/0.53 % (14545)------------------------------
% 0.20/0.53 % (14552)Instruction limit reached!
% 0.20/0.53 % (14552)------------------------------
% 0.20/0.53 % (14552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14552)Termination reason: Unknown
% 0.20/0.53 % (14552)Termination phase: SInE selection
% 0.20/0.53
% 0.20/0.53 % (14552)Memory used [KB]: 1535
% 0.20/0.53 % (14552)Time elapsed: 0.002 s
% 0.20/0.53 % (14552)Instructions burned: 2 (million)
% 0.20/0.53 % (14552)------------------------------
% 0.20/0.53 % (14552)------------------------------
% 0.20/0.53 % (14550)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (14546)Instruction limit reached!
% 0.20/0.53 % (14546)------------------------------
% 0.20/0.53 % (14546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14546)Termination reason: Unknown
% 0.20/0.53 % (14546)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (14546)Memory used [KB]: 2046
% 0.20/0.53 % (14546)Time elapsed: 0.009 s
% 0.20/0.53 % (14546)Instructions burned: 16 (million)
% 0.20/0.53 % (14546)------------------------------
% 0.20/0.53 % (14546)------------------------------
% 0.20/0.53 % (14549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14549)Termination reason: Unknown
% 0.20/0.53 % (14549)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (14549)Memory used [KB]: 1791
% 0.20/0.53 % (14549)Time elapsed: 0.009 s
% 0.20/0.53 % (14549)Instructions burned: 8 (million)
% 0.20/0.53 % (14549)------------------------------
% 0.20/0.53 % (14549)------------------------------
% 0.20/0.53 % (14548)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (14562)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (14548)Instruction limit reached!
% 0.20/0.53 % (14548)------------------------------
% 0.20/0.53 % (14548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14548)Termination reason: Unknown
% 0.20/0.53 % (14548)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (14548)Memory used [KB]: 1663
% 0.20/0.53 % (14548)Time elapsed: 0.004 s
% 0.20/0.53 % (14548)Instructions burned: 4 (million)
% 0.20/0.53 % (14548)------------------------------
% 0.20/0.53 % (14548)------------------------------
% 0.20/0.54 % (14544)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54 % (14563)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54 % (14561)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (14562)Instruction limit reached!
% 0.20/0.54 % (14562)------------------------------
% 0.20/0.54 % (14562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (14562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (14562)Termination reason: Unknown
% 0.20/0.54 % (14562)Termination phase: Function definition elimination
% 0.20/0.54
% 0.20/0.54 % (14562)Memory used [KB]: 1791
% 0.20/0.54 % (14562)Time elapsed: 0.005 s
% 0.20/0.54 % (14562)Instructions burned: 8 (million)
% 0.20/0.54 % (14562)------------------------------
% 0.20/0.54 % (14562)------------------------------
% 0.20/0.54 % (14554)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (14542)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54 % (14558)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (14553)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.55 % (14543)Instruction limit reached!
% 0.20/0.55 % (14543)------------------------------
% 0.20/0.55 % (14543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (14543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (14543)Termination reason: Unknown
% 0.20/0.55 % (14543)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (14543)Memory used [KB]: 6780
% 0.20/0.55 % (14543)Time elapsed: 0.137 s
% 0.20/0.55 % (14543)Instructions burned: 34 (million)
% 0.20/0.55 % (14543)------------------------------
% 0.20/0.55 % (14543)------------------------------
% 0.20/0.55 % (14538)Instruction limit reached!
% 0.20/0.55 % (14538)------------------------------
% 0.20/0.55 % (14538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (14538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (14538)Termination reason: Unknown
% 0.20/0.55 % (14538)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (14538)Memory used [KB]: 6396
% 0.20/0.55 % (14538)Time elapsed: 0.129 s
% 0.20/0.55 % (14538)Instructions burned: 14 (million)
% 0.20/0.55 % (14538)------------------------------
% 0.20/0.55 % (14538)------------------------------
% 0.20/0.55 % (14540)First to succeed.
% 0.20/0.55 % (14555)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (14535)Instruction limit reached!
% 0.20/0.55 % (14535)------------------------------
% 0.20/0.55 % (14535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (14535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (14535)Termination reason: Unknown
% 0.20/0.55 % (14535)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (14535)Memory used [KB]: 6524
% 0.20/0.55 % (14535)Time elapsed: 0.151 s
% 0.20/0.55 % (14535)Instructions burned: 14 (million)
% 0.20/0.55 % (14535)------------------------------
% 0.20/0.55 % (14535)------------------------------
% 0.20/0.56 % (14539)Instruction limit reached!
% 0.20/0.56 % (14539)------------------------------
% 0.20/0.56 % (14539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (14539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (14539)Termination reason: Unknown
% 0.20/0.56 % (14539)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (14539)Memory used [KB]: 1791
% 0.20/0.56 % (14539)Time elapsed: 0.157 s
% 0.20/0.56 % (14539)Instructions burned: 16 (million)
% 0.20/0.56 % (14539)------------------------------
% 0.20/0.56 % (14539)------------------------------
% 0.20/0.56 % (14544)Instruction limit reached!
% 0.20/0.56 % (14544)------------------------------
% 0.20/0.56 % (14544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (14544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (14544)Termination reason: Unknown
% 0.20/0.56 % (14544)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (14544)Memory used [KB]: 6396
% 0.20/0.56 % (14544)Time elapsed: 0.168 s
% 0.20/0.56 % (14544)Instructions burned: 14 (million)
% 0.20/0.56 % (14544)------------------------------
% 0.20/0.56 % (14544)------------------------------
% 0.20/0.57 % (14541)Refutation not found, non-redundant clauses discarded% (14541)------------------------------
% 0.20/0.57 % (14541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (14541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (14541)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.20/0.57
% 0.20/0.57 % (14541)Memory used [KB]: 6780
% 0.20/0.57 % (14541)Time elapsed: 0.140 s
% 0.20/0.57 % (14541)Instructions burned: 38 (million)
% 0.20/0.57 % (14541)------------------------------
% 0.20/0.57 % (14541)------------------------------
% 0.20/0.57 % (14553)Instruction limit reached!
% 0.20/0.57 % (14553)------------------------------
% 0.20/0.57 % (14553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (14553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (14553)Termination reason: Unknown
% 0.20/0.57 % (14553)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (14553)Memory used [KB]: 6396
% 0.20/0.57 % (14553)Time elapsed: 0.149 s
% 0.20/0.57 % (14553)Instructions burned: 11 (million)
% 0.20/0.57 % (14553)------------------------------
% 0.20/0.57 % (14553)------------------------------
% 0.20/0.57 % (14540)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Theorem for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (14540)------------------------------
% 0.20/0.57 % (14540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (14540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (14540)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (14540)Memory used [KB]: 6396
% 0.20/0.57 % (14540)Time elapsed: 0.101 s
% 0.20/0.57 % (14540)Instructions burned: 19 (million)
% 0.20/0.57 % (14540)------------------------------
% 0.20/0.57 % (14540)------------------------------
% 0.20/0.57 % (14533)Success in time 0.22 s
%------------------------------------------------------------------------------