TSTP Solution File: SWC235+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC235+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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:39:47 EDT 2022
% Result : Theorem 1.62s 0.57s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 20
% Syntax : Number of formulae : 88 ( 9 unt; 0 def)
% Number of atoms : 812 ( 240 equ)
% Maximal formula atoms : 64 ( 9 avg)
% Number of connectives : 1154 ( 430 ~; 400 |; 283 &)
% ( 4 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 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 : 320 ( 217 !; 103 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f466,plain,
$false,
inference(avatar_sat_refutation,[],[f275,f285,f452,f458,f465]) ).
fof(f465,plain,
( spl17_2
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f464,plain,
( $false
| spl17_2
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f463,f447]) ).
fof(f447,plain,
( ssItem(sK14(sK9(sK12),nil,sK8(sK12)))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f445,plain,
( spl17_7
<=> ssItem(sK14(sK9(sK12),nil,sK8(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f463,plain,
( ~ ssItem(sK14(sK9(sK12),nil,sK8(sK12)))
| spl17_2
| ~ spl17_3
| ~ spl17_8 ),
inference(resolution,[],[f462,f215]) ).
fof(f215,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f462,plain,
( memberP(nil,sK14(sK9(sK12),nil,sK8(sK12)))
| spl17_2
| ~ spl17_3
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f461,f246]) ).
fof(f246,plain,
ssList(sK12),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ssList(sK10)
& ssList(sK11)
& ssList(sK12)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ( ~ lt(X4,sK14(X4,X5,X6))
& memberP(X5,sK14(X4,X5,X6))
& ssItem(sK14(X4,X5,X6))
& leq(X4,sK14(X4,X5,X6))
& memberP(X6,sK14(X4,X5,X6)) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK10 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ssList(sK16)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != sK12
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != sK15
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != sK16
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != sK12 ) ) )
& sK13 = app(app(sK15,sK12),sK16)
& equalelemsP(sK12)
& ssList(sK15)
& sK10 = sK12
& nil != sK10
& sK11 = sK13
& ssList(sK13)
& ( nil != sK12
| nil = sK13 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15,sK16])],[f167,f174,f173,f172,f171,f170,f169,f168]) ).
fof(f168,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7)
& leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != X2
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != X8
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != X2 ) ) )
& app(app(X8,X2),X9) = X3
& equalelemsP(X2) )
& ssList(X8) )
& X0 = X2
& nil != X0
& X1 = X3
& ssList(X3)
& ( nil != X2
| nil = X3 ) ) ) ) )
=> ( ssList(sK10)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7)
& leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK10 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != X2
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != X8
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != X2 ) ) )
& app(app(X8,X2),X9) = X3
& equalelemsP(X2) )
& ssList(X8) )
& sK10 = X2
& nil != sK10
& X1 = X3
& ssList(X3)
& ( nil != X2
| nil = X3 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7)
& leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK10 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != X2
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != X8
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != X2 ) ) )
& app(app(X8,X2),X9) = X3
& equalelemsP(X2) )
& ssList(X8) )
& sK10 = X2
& nil != sK10
& X1 = X3
& ssList(X3)
& ( nil != X2
| nil = X3 ) ) ) )
=> ( ssList(sK11)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7)
& leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK10 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != X2
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != X8
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != X2 ) ) )
& app(app(X8,X2),X9) = X3
& equalelemsP(X2) )
& ssList(X8) )
& sK10 = X2
& nil != sK10
& sK11 = X3
& ssList(X3)
& ( nil != X2
| nil = X3 ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7)
& leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK10 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != X2
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != X8
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != X2 ) ) )
& app(app(X8,X2),X9) = X3
& equalelemsP(X2) )
& ssList(X8) )
& sK10 = X2
& nil != sK10
& sK11 = X3
& ssList(X3)
& ( nil != X2
| nil = X3 ) ) )
=> ( ssList(sK12)
& ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7)
& leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK10 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != sK12
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != X8
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != sK12 ) ) )
& app(app(X8,sK12),X9) = X3
& equalelemsP(sK12) )
& ssList(X8) )
& sK10 = sK12
& nil != sK10
& sK11 = X3
& ssList(X3)
& ( nil != sK12
| nil = X3 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
( ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7)
& leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK10 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != sK12
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != X8
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != sK12 ) ) )
& app(app(X8,sK12),X9) = X3
& equalelemsP(sK12) )
& ssList(X8) )
& sK10 = sK12
& nil != sK10
& sK11 = X3
& ssList(X3)
& ( nil != sK12
| nil = X3 ) )
=> ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7)
& leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK10 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != sK12
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != X8
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != sK12 ) ) )
& sK13 = app(app(X8,sK12),X9)
& equalelemsP(sK12) )
& ssList(X8) )
& sK10 = sK12
& nil != sK10
& sK11 = sK13
& ssList(sK13)
& ( nil != sK12
| nil = sK13 ) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X4,X5,X6] :
( ? [X7] :
( ~ lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7)
& leq(X4,X7)
& memberP(X6,X7) )
=> ( ~ lt(X4,sK14(X4,X5,X6))
& memberP(X5,sK14(X4,X5,X6))
& ssItem(sK14(X4,X5,X6))
& leq(X4,sK14(X4,X5,X6))
& memberP(X6,sK14(X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ? [X8] :
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != sK12
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != X8
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != sK12 ) ) )
& sK13 = app(app(X8,sK12),X9)
& equalelemsP(sK12) )
& ssList(X8) )
=> ( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != sK12
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != sK15
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != sK12 ) ) )
& app(app(sK15,sK12),X9) = sK13
& equalelemsP(sK12) )
& ssList(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != sK12
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != sK15
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != sK12 ) ) )
& app(app(sK15,sK12),X9) = sK13
& equalelemsP(sK12) )
=> ( ssList(sK16)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != sK12
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != sK15
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != sK16
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != sK12 ) ) )
& sK13 = app(app(sK15,sK12),sK16)
& equalelemsP(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ? [X7] :
( ~ lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7)
& leq(X4,X7)
& memberP(X6,X7) )
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0 )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ssList(X9)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( app(cons(X10,nil),X12) != X2
| ~ ssList(X12) )
| app(X11,cons(X10,nil)) != X8
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X13] :
( ~ ssItem(X13)
| ! [X14] :
( ~ ssList(X14)
| app(cons(X13,nil),X14) != X9
| ! [X15] :
( ~ ssList(X15)
| app(X15,cons(X13,nil)) != X2 ) ) )
& app(app(X8,X2),X9) = X3
& equalelemsP(X2) )
& ssList(X8) )
& X0 = X2
& nil != X0
& X1 = X3
& ssList(X3)
& ( nil != X2
| nil = X3 ) ) ) ) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ? [X15] :
( ~ lt(X12,X15)
& memberP(X13,X15)
& ssItem(X15)
& leq(X12,X15)
& memberP(X14,X15) )
| ~ ssList(X14)
| app(app(X13,cons(X12,nil)),X14) != X0 )
| ~ ssList(X13) )
| ~ ssItem(X12) )
& ? [X4] :
( ? [X5] :
( ssList(X5)
& ! [X9] :
( ! [X10] :
( ! [X11] :
( app(cons(X9,nil),X11) != X2
| ~ ssList(X11) )
| app(X10,cons(X9,nil)) != X4
| ~ ssList(X10) )
| ~ ssItem(X9) )
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& equalelemsP(X2) )
& ssList(X4) )
& X0 = X2
& nil != X0
& X1 = X3
& ssList(X3)
& ( nil != X2
| nil = X3 ) ) ) ) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ! [X9] :
( ! [X10] :
( ! [X11] :
( app(cons(X9,nil),X11) != X2
| ~ ssList(X11) )
| app(X10,cons(X9,nil)) != X4
| ~ ssList(X10) )
| ~ ssItem(X9) )
& equalelemsP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(cons(X6,nil),X7) != X5
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X6,nil)) != X2 ) ) )
& app(app(X4,X2),X5) = X3
& ssList(X5) )
& ssList(X4) )
& X1 = X3
& nil != X0
& ( nil != X2
| nil = X3 )
& ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ ssList(X14)
| ? [X15] :
( memberP(X13,X15)
& memberP(X14,X15)
& ~ lt(X12,X15)
& leq(X12,X15)
& ssItem(X15) )
| app(app(X13,cons(X12,nil)),X14) != X0 )
| ~ ssList(X13) )
| ~ ssItem(X12) )
& X0 = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( ? [X9] :
( ssItem(X9)
& ? [X10] :
( ssList(X10)
& app(X10,cons(X9,nil)) = X4
& ? [X11] :
( app(cons(X9,nil),X11) = X2
& ssList(X11) ) ) )
| ~ equalelemsP(X2)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( app(cons(X6,nil),X7) = X5
& ? [X8] :
( app(X8,cons(X6,nil)) = X2
& ssList(X8) )
& ssList(X7) ) )
| app(app(X4,X2),X5) != X3 ) ) )
| X1 != X3
| nil = X0
| ( nil != X3
& nil = X2 )
| ? [X12] :
( ? [X13] :
( ? [X14] :
( ssList(X14)
& ! [X15] :
( ssItem(X15)
=> ( ~ memberP(X13,X15)
| ~ memberP(X14,X15)
| lt(X12,X15)
| ~ leq(X12,X15) ) )
& app(app(X13,cons(X12,nil)),X14) = X0 )
& ssList(X13) )
& ssItem(X12) )
| X0 != X2 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil != X3
& nil = X2 )
| ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(app(X8,X2),X9) != X3
| ? [X13] :
( ssItem(X13)
& ? [X14] :
( ? [X15] :
( app(X15,cons(X13,nil)) = X2
& ssList(X15) )
& app(cons(X13,nil),X14) = X9
& ssList(X14) ) )
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( app(X11,cons(X10,nil)) = X8
& ? [X12] :
( app(cons(X10,nil),X12) = X2
& ssList(X12) )
& ssList(X11) ) )
| ~ equalelemsP(X2) ) ) )
| nil = X0
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6)
& ! [X7] :
( ssItem(X7)
=> ( lt(X4,X7)
| ~ memberP(X5,X7)
| ~ leq(X4,X7)
| ~ memberP(X6,X7) ) ) ) ) )
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil != X3
& nil = X2 )
| ! [X8] :
( ssList(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(app(X8,X2),X9) != X3
| ? [X13] :
( ssItem(X13)
& ? [X14] :
( ? [X15] :
( app(X15,cons(X13,nil)) = X2
& ssList(X15) )
& app(cons(X13,nil),X14) = X9
& ssList(X14) ) )
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( app(X11,cons(X10,nil)) = X8
& ? [X12] :
( app(cons(X10,nil),X12) = X2
& ssList(X12) )
& ssList(X11) ) )
| ~ equalelemsP(X2) ) ) )
| nil = X0
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6)
& ! [X7] :
( ssItem(X7)
=> ( lt(X4,X7)
| ~ memberP(X5,X7)
| ~ leq(X4,X7)
| ~ memberP(X6,X7) ) ) ) ) )
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f461,plain,
( memberP(nil,sK14(sK9(sK12),nil,sK8(sK12)))
| ~ ssList(sK12)
| spl17_2
| ~ spl17_3
| ~ spl17_8 ),
inference(subsumption_resolution,[],[f460,f450]) ).
fof(f450,plain,
( ssList(cons(sK9(sK12),nil))
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f449,plain,
( spl17_8
<=> ssList(cons(sK9(sK12),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f460,plain,
( ~ ssList(cons(sK9(sK12),nil))
| memberP(nil,sK14(sK9(sK12),nil,sK8(sK12)))
| ~ ssList(sK12)
| spl17_2
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f459,f273]) ).
fof(f273,plain,
( nil != sK12
| spl17_2 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl17_2
<=> nil = sK12 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f459,plain,
( nil = sK12
| memberP(nil,sK14(sK9(sK12),nil,sK8(sK12)))
| ~ ssList(sK12)
| ~ ssList(cons(sK9(sK12),nil))
| ~ spl17_3 ),
inference(equality_resolution,[],[f434]) ).
fof(f434,plain,
( ! [X0] :
( sK12 != X0
| ~ ssList(X0)
| nil = X0
| memberP(nil,sK14(sK9(X0),nil,sK8(X0)))
| ~ ssList(cons(sK9(X0),nil)) )
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f433,f227]) ).
fof(f227,plain,
! [X0] :
( ssItem(sK9(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ~ ssList(X0)
| ( ssList(sK8(X0))
& cons(sK9(X0),sK8(X0)) = X0
& ssItem(sK9(X0)) )
| nil = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f129,f165,f164]) ).
fof(f164,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) )
=> ( ssList(sK8(X0))
& ? [X2] :
( cons(X2,sK8(X0)) = X0
& ssItem(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK8(X0)) = X0
& ssItem(X2) )
=> ( cons(sK9(X0),sK8(X0)) = X0
& ssItem(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) )
| nil = X0 ),
inference(flattening,[],[f128]) ).
fof(f128,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(f433,plain,
( ! [X0] :
( ~ ssItem(sK9(X0))
| nil = X0
| sK12 != X0
| ~ ssList(X0)
| memberP(nil,sK14(sK9(X0),nil,sK8(X0)))
| ~ ssList(cons(sK9(X0),nil)) )
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f432,f229]) ).
fof(f229,plain,
! [X0] :
( ssList(sK8(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f166]) ).
fof(f432,plain,
( ! [X0] :
( nil = X0
| memberP(nil,sK14(sK9(X0),nil,sK8(X0)))
| ~ ssList(cons(sK9(X0),nil))
| ~ ssList(X0)
| ~ ssList(sK8(X0))
| sK12 != X0
| ~ ssItem(sK9(X0)) )
| ~ spl17_3 ),
inference(superposition,[],[f406,f228]) ).
fof(f228,plain,
! [X0] :
( cons(sK9(X0),sK8(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f166]) ).
fof(f406,plain,
( ! [X14,X15] :
( cons(X14,X15) != sK12
| ~ ssList(X15)
| ~ ssItem(X14)
| memberP(nil,sK14(X14,nil,X15))
| ~ ssList(cons(X14,nil)) )
| ~ spl17_3 ),
inference(duplicate_literal_removal,[],[f387]) ).
fof(f387,plain,
( ! [X14,X15] :
( ~ ssList(X15)
| memberP(nil,sK14(X14,nil,X15))
| ~ ssList(cons(X14,nil))
| cons(X14,X15) != sK12
| ~ ssList(X15)
| ~ ssItem(X14)
| ~ ssItem(X14) )
| ~ spl17_3 ),
inference(superposition,[],[f295,f203]) ).
fof(f203,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) )
| ~ 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(f295,plain,
( ! [X4,X5] :
( app(cons(X4,nil),X5) != sK12
| ~ ssList(cons(X4,nil))
| memberP(nil,sK14(X4,nil,X5))
| ~ ssItem(X4)
| ~ ssList(X5) )
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f288,f278]) ).
fof(f278,plain,
( ssList(nil)
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl17_3
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f288,plain,
! [X4,X5] :
( memberP(nil,sK14(X4,nil,X5))
| app(cons(X4,nil),X5) != sK12
| ~ ssList(cons(X4,nil))
| ~ ssItem(X4)
| ~ ssList(nil)
| ~ ssList(X5) ),
inference(superposition,[],[f252,f177]) ).
fof(f177,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f252,plain,
! [X6,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK12
| memberP(X5,sK14(X4,X5,X6))
| ~ ssItem(X4)
| ~ ssList(X6)
| ~ ssList(X5) ),
inference(definition_unfolding,[],[f244,f234]) ).
fof(f234,plain,
sK10 = sK12,
inference(cnf_transformation,[],[f175]) ).
fof(f244,plain,
! [X6,X4,X5] :
( memberP(X5,sK14(X4,X5,X6))
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK10
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f175]) ).
fof(f458,plain,
( spl17_2
| ~ spl17_3
| spl17_8 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f457,plain,
( $false
| spl17_2
| ~ spl17_3
| spl17_8 ),
inference(subsumption_resolution,[],[f456,f273]) ).
fof(f456,plain,
( nil = sK12
| ~ spl17_3
| spl17_8 ),
inference(subsumption_resolution,[],[f455,f246]) ).
fof(f455,plain,
( ~ ssList(sK12)
| nil = sK12
| ~ spl17_3
| spl17_8 ),
inference(resolution,[],[f454,f227]) ).
fof(f454,plain,
( ~ ssItem(sK9(sK12))
| ~ spl17_3
| spl17_8 ),
inference(subsumption_resolution,[],[f453,f278]) ).
fof(f453,plain,
( ~ ssList(nil)
| ~ ssItem(sK9(sK12))
| spl17_8 ),
inference(resolution,[],[f451,f187]) ).
fof(f187,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
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(f451,plain,
( ~ ssList(cons(sK9(sK12),nil))
| spl17_8 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f452,plain,
( spl17_7
| ~ spl17_8
| spl17_2
| ~ spl17_3 ),
inference(avatar_split_clause,[],[f443,f277,f271,f449,f445]) ).
fof(f443,plain,
( ~ ssList(cons(sK9(sK12),nil))
| ssItem(sK14(sK9(sK12),nil,sK8(sK12)))
| spl17_2
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f442,f246]) ).
fof(f442,plain,
( ~ ssList(cons(sK9(sK12),nil))
| ~ ssList(sK12)
| ssItem(sK14(sK9(sK12),nil,sK8(sK12)))
| spl17_2
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f441,f273]) ).
fof(f441,plain,
( nil = sK12
| ~ ssList(cons(sK9(sK12),nil))
| ssItem(sK14(sK9(sK12),nil,sK8(sK12)))
| ~ ssList(sK12)
| ~ spl17_3 ),
inference(equality_resolution,[],[f428]) ).
fof(f428,plain,
( ! [X0] :
( sK12 != X0
| nil = X0
| ~ ssList(X0)
| ssItem(sK14(sK9(X0),nil,sK8(X0)))
| ~ ssList(cons(sK9(X0),nil)) )
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f427,f227]) ).
fof(f427,plain,
( ! [X0] :
( ~ ssItem(sK9(X0))
| sK12 != X0
| ~ ssList(cons(sK9(X0),nil))
| nil = X0
| ssItem(sK14(sK9(X0),nil,sK8(X0)))
| ~ ssList(X0) )
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f426,f229]) ).
fof(f426,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(cons(sK9(X0),nil))
| ssItem(sK14(sK9(X0),nil,sK8(X0)))
| ~ ssList(sK8(X0))
| nil = X0
| sK12 != X0
| ~ ssItem(sK9(X0)) )
| ~ spl17_3 ),
inference(superposition,[],[f410,f228]) ).
fof(f410,plain,
( ! [X12,X13] :
( cons(X12,X13) != sK12
| ~ ssList(cons(X12,nil))
| ~ ssItem(X12)
| ssItem(sK14(X12,nil,X13))
| ~ ssList(X13) )
| ~ spl17_3 ),
inference(duplicate_literal_removal,[],[f386]) ).
fof(f386,plain,
( ! [X12,X13] :
( ~ ssList(cons(X12,nil))
| ~ ssList(X13)
| ~ ssList(X13)
| ~ ssItem(X12)
| cons(X12,X13) != sK12
| ssItem(sK14(X12,nil,X13))
| ~ ssItem(X12) )
| ~ spl17_3 ),
inference(superposition,[],[f294,f203]) ).
fof(f294,plain,
( ! [X8,X9] :
( app(cons(X8,nil),X9) != sK12
| ssItem(sK14(X8,nil,X9))
| ~ ssList(X9)
| ~ ssList(cons(X8,nil))
| ~ ssItem(X8) )
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f290,f278]) ).
fof(f290,plain,
! [X8,X9] :
( app(cons(X8,nil),X9) != sK12
| ~ ssItem(X8)
| ~ ssList(cons(X8,nil))
| ssItem(sK14(X8,nil,X9))
| ~ ssList(X9)
| ~ ssList(nil) ),
inference(superposition,[],[f253,f177]) ).
fof(f253,plain,
! [X6,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK12
| ~ ssItem(X4)
| ~ ssList(X6)
| ssItem(sK14(X4,X5,X6))
| ~ ssList(X5) ),
inference(definition_unfolding,[],[f243,f234]) ).
fof(f243,plain,
! [X6,X4,X5] :
( ssItem(sK14(X4,X5,X6))
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK10
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f175]) ).
fof(f285,plain,
spl17_3,
inference(avatar_split_clause,[],[f186,f277]) ).
fof(f186,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f275,plain,
~ spl17_2,
inference(avatar_split_clause,[],[f256,f271]) ).
fof(f256,plain,
nil != sK12,
inference(definition_unfolding,[],[f233,f234]) ).
fof(f233,plain,
nil != sK10,
inference(cnf_transformation,[],[f175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC235+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:26:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.52 % (5105)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)
% 0.21/0.52 % (5105)Instruction limit reached!
% 0.21/0.52 % (5105)------------------------------
% 0.21/0.52 % (5105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (5092)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)
% 0.21/0.52 % (5112)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)
% 0.21/0.52 % (5097)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)
% 0.21/0.52 % (5092)Instruction limit reached!
% 0.21/0.52 % (5092)------------------------------
% 0.21/0.52 % (5092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (5092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (5092)Termination reason: Unknown
% 0.21/0.52 % (5092)Termination phase: Preprocessing 3
% 0.21/0.52
% 0.21/0.52 % (5092)Memory used [KB]: 1663
% 0.21/0.52 % (5092)Time elapsed: 0.003 s
% 0.21/0.52 % (5092)Instructions burned: 4 (million)
% 0.21/0.52 % (5092)------------------------------
% 0.21/0.52 % (5092)------------------------------
% 0.21/0.53 % (5104)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)
% 0.21/0.53 % (5093)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)
% 0.21/0.53 % (5105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (5105)Termination reason: Unknown
% 0.21/0.53 % (5105)Termination phase: Preprocessing 3
% 0.21/0.53
% 0.21/0.53 % (5105)Memory used [KB]: 1791
% 0.21/0.53 % (5105)Time elapsed: 0.005 s
% 0.21/0.53 % (5105)Instructions burned: 7 (million)
% 0.21/0.53 % (5105)------------------------------
% 0.21/0.53 % (5105)------------------------------
% 0.21/0.53 % (5094)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)
% 0.21/0.53 % (5104)Instruction limit reached!
% 0.21/0.53 % (5104)------------------------------
% 0.21/0.53 % (5104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (5104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (5104)Termination reason: Unknown
% 0.21/0.53 % (5104)Termination phase: Preprocessing 3
% 0.21/0.53
% 0.21/0.53 % (5104)Memory used [KB]: 1663
% 0.21/0.53 % (5104)Time elapsed: 0.005 s
% 0.21/0.53 % (5104)Instructions burned: 4 (million)
% 0.21/0.53 % (5104)------------------------------
% 0.21/0.53 % (5104)------------------------------
% 0.21/0.53 % (5090)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.53 % (5108)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)
% 0.21/0.53 % (5108)Instruction limit reached!
% 0.21/0.53 % (5108)------------------------------
% 0.21/0.53 % (5108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (5108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (5108)Termination reason: Unknown
% 0.21/0.53 % (5108)Termination phase: SInE selection
% 0.21/0.53
% 0.21/0.53 % (5108)Memory used [KB]: 1407
% 0.21/0.53 % (5108)Time elapsed: 0.002 s
% 0.21/0.53 % (5108)Instructions burned: 2 (million)
% 0.21/0.53 % (5108)------------------------------
% 0.21/0.53 % (5108)------------------------------
% 0.21/0.53 % (5113)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)
% 1.38/0.54 % (5118)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)
% 1.38/0.54 % (5095)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)
% 1.38/0.54 % (5116)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)
% 1.38/0.54 % (5096)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)
% 1.38/0.54 % (5103)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)
% 1.38/0.54 % (5114)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)
% 1.38/0.54 % (5110)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)
% 1.38/0.54 % (5117)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)
% 1.38/0.54 % (5091)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)
% 1.38/0.54 % (5100)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)
% 1.38/0.54 % (5102)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)
% 1.38/0.55 % (5115)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)
% 1.38/0.55 % (5119)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)
% 1.38/0.55 % (5106)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)
% 1.38/0.55 % (5098)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)
% 1.38/0.55 % (5109)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)
% 1.38/0.56 % (5094)Instruction limit reached!
% 1.38/0.56 % (5094)------------------------------
% 1.38/0.56 % (5094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (5094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (5094)Termination reason: Unknown
% 1.38/0.56 % (5094)Termination phase: Saturation
% 1.38/0.56
% 1.38/0.56 % (5094)Memory used [KB]: 6268
% 1.38/0.56 % (5094)Time elapsed: 0.139 s
% 1.38/0.56 % (5094)Instructions burned: 14 (million)
% 1.38/0.56 % (5094)------------------------------
% 1.38/0.56 % (5094)------------------------------
% 1.38/0.56 % (5118)Instruction limit reached!
% 1.38/0.56 % (5118)------------------------------
% 1.38/0.56 % (5118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (5118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (5118)Termination reason: Unknown
% 1.38/0.56 % (5118)Termination phase: Function definition elimination
% 1.38/0.56
% 1.38/0.56 % (5118)Memory used [KB]: 1791
% 1.38/0.56 % (5118)Time elapsed: 0.005 s
% 1.38/0.56 % (5118)Instructions burned: 8 (million)
% 1.38/0.56 % (5118)------------------------------
% 1.38/0.56 % (5118)------------------------------
% 1.38/0.56 % (5107)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.38/0.56 % (5107)Instruction limit reached!
% 1.38/0.56 % (5107)------------------------------
% 1.38/0.56 % (5107)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.56 % (5107)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.56 % (5107)Termination reason: Unknown
% 1.38/0.56 % (5107)Termination phase: Preprocessing 3
% 1.38/0.56
% 1.38/0.56 % (5107)Memory used [KB]: 1663
% 1.38/0.56 % (5107)Time elapsed: 0.003 s
% 1.38/0.56 % (5107)Instructions burned: 4 (million)
% 1.38/0.56 % (5107)------------------------------
% 1.38/0.56 % (5107)------------------------------
% 1.62/0.56 % (5101)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)
% 1.62/0.56 % (5099)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)
% 1.62/0.56 % (5111)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)
% 1.62/0.56 % (5091)Instruction limit reached!
% 1.62/0.56 % (5091)------------------------------
% 1.62/0.56 % (5091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56 % (5091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56 % (5091)Termination reason: Unknown
% 1.62/0.56 % (5091)Termination phase: Saturation
% 1.62/0.56
% 1.62/0.56 % (5091)Memory used [KB]: 6396
% 1.62/0.56 % (5091)Time elapsed: 0.008 s
% 1.62/0.56 % (5091)Instructions burned: 13 (million)
% 1.62/0.56 % (5091)------------------------------
% 1.62/0.56 % (5091)------------------------------
% 1.62/0.56 % (5101)Instruction limit reached!
% 1.62/0.56 % (5101)------------------------------
% 1.62/0.56 % (5101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56 % (5101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56 % (5101)Termination reason: Unknown
% 1.62/0.56 % (5101)Termination phase: Saturation
% 1.62/0.56
% 1.62/0.56 % (5101)Memory used [KB]: 6140
% 1.62/0.56 % (5101)Time elapsed: 0.004 s
% 1.62/0.56 % (5101)Instructions burned: 7 (million)
% 1.62/0.56 % (5101)------------------------------
% 1.62/0.56 % (5101)------------------------------
% 1.62/0.56 % (5102)Instruction limit reached!
% 1.62/0.56 % (5102)------------------------------
% 1.62/0.56 % (5102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56 % (5102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56 % (5102)Termination reason: Unknown
% 1.62/0.56 % (5102)Termination phase: Saturation
% 1.62/0.56
% 1.62/0.56 % (5102)Memory used [KB]: 2046
% 1.62/0.56 % (5102)Time elapsed: 0.170 s
% 1.62/0.56 % (5102)Instructions burned: 17 (million)
% 1.62/0.56 % (5102)------------------------------
% 1.62/0.56 % (5102)------------------------------
% 1.62/0.57 % (5096)First to succeed.
% 1.62/0.57 % (5100)Refutation not found, incomplete strategy% (5100)------------------------------
% 1.62/0.57 % (5100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (5100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (5100)Termination reason: Refutation not found, incomplete strategy
% 1.62/0.57
% 1.62/0.57 % (5100)Memory used [KB]: 6396
% 1.62/0.57 % (5100)Time elapsed: 0.149 s
% 1.62/0.57 % (5100)Instructions burned: 11 (million)
% 1.62/0.57 % (5100)------------------------------
% 1.62/0.57 % (5100)------------------------------
% 1.62/0.57 % (5096)Refutation found. Thanks to Tanya!
% 1.62/0.57 % SZS status Theorem for theBenchmark
% 1.62/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.57 % (5096)------------------------------
% 1.62/0.57 % (5096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (5096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (5096)Termination reason: Refutation
% 1.62/0.57
% 1.62/0.57 % (5096)Memory used [KB]: 6268
% 1.62/0.57 % (5096)Time elapsed: 0.113 s
% 1.62/0.57 % (5096)Instructions burned: 17 (million)
% 1.62/0.57 % (5096)------------------------------
% 1.62/0.57 % (5096)------------------------------
% 1.62/0.57 % (5089)Success in time 0.212 s
%------------------------------------------------------------------------------