TSTP Solution File: SWC067+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC067+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 : n020.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 18:38:33 EDT 2022
% Result : Theorem 1.73s 0.63s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 32
% Syntax : Number of formulae : 116 ( 19 unt; 0 def)
% Number of atoms : 808 ( 225 equ)
% Maximal formula atoms : 66 ( 6 avg)
% Number of connectives : 1143 ( 451 ~; 409 |; 231 &)
% ( 22 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 284 ( 206 !; 78 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2646,plain,
$false,
inference(avatar_sat_refutation,[],[f612,f617,f618,f623,f624,f670,f1017,f1097,f1265,f1348,f1354,f1380,f1461,f1593,f2520,f2554,f2592,f2629,f2635]) ).
fof(f2635,plain,
( spl53_172
| ~ spl53_12
| ~ spl53_30
| ~ spl53_21
| ~ spl53_55 ),
inference(avatar_split_clause,[],[f2594,f1002,f703,f805,f644,f2456]) ).
fof(f2456,plain,
( spl53_172
<=> segmentP(sK42,sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_172])]) ).
fof(f644,plain,
( spl53_12
<=> ssList(sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_12])]) ).
fof(f805,plain,
( spl53_30
<=> ssList(sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_30])]) ).
fof(f703,plain,
( spl53_21
<=> ssList(sK46) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_21])]) ).
fof(f1002,plain,
( spl53_55
<=> ssList(sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_55])]) ).
fof(f2594,plain,
( ~ ssList(sK41)
| ~ ssList(sK46)
| ~ ssList(sK45)
| ~ ssList(sK42)
| segmentP(sK42,sK41) ),
inference(superposition,[],[f576,f549]) ).
fof(f549,plain,
sK42 = app(app(sK45,sK41),sK46),
inference(definition_unfolding,[],[f508,f513,f505]) ).
fof(f505,plain,
sK44 = sK42,
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
( ssList(sK41)
& ssList(sK44)
& sK43 = sK41
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != sK43
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != sK45 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != sK46
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != sK43
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(sK43)
& ssList(sK46)
& app(app(sK45,sK43),sK46) = sK44
& ssList(sK45)
& ( nil != sK43
| nil = sK44 )
& sK44 = sK42
& ( ( nil = sK42
& nil != sK41 )
| ( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(sK42,X14)
| ~ neq(X14,nil)
| ~ segmentP(sK41,X14) )
& neq(sK42,nil) ) )
& ssList(sK43)
& ssList(sK42) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43,sK44,sK45,sK46])],[f154,f319,f318,f317,f316,f315,f314]) ).
fof(f314,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X0 = X2
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != X2
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != X2
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(X2)
& ssList(X5)
& app(app(X4,X2),X5) = X3 )
& ssList(X4) )
& ( nil != X2
| nil = X3 )
& X1 = X3
& ( ( nil = X1
& nil != X0 )
| ( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(X1,X14)
| ~ neq(X14,nil)
| ~ segmentP(X0,X14) )
& neq(X1,nil) ) ) )
& ssList(X2) )
& ssList(X1) ) )
=> ( ssList(sK41)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& sK41 = X2
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != X2
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != X2
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(X2)
& ssList(X5)
& app(app(X4,X2),X5) = X3 )
& ssList(X4) )
& ( nil != X2
| nil = X3 )
& X1 = X3
& ( ( nil = X1
& nil != sK41 )
| ( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(X1,X14)
| ~ neq(X14,nil)
| ~ segmentP(sK41,X14) )
& neq(X1,nil) ) ) )
& ssList(X2) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& sK41 = X2
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != X2
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != X2
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(X2)
& ssList(X5)
& app(app(X4,X2),X5) = X3 )
& ssList(X4) )
& ( nil != X2
| nil = X3 )
& X1 = X3
& ( ( nil = X1
& nil != sK41 )
| ( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(X1,X14)
| ~ neq(X14,nil)
| ~ segmentP(sK41,X14) )
& neq(X1,nil) ) ) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ssList(X3)
& sK41 = X2
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != X2
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != X2
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(X2)
& ssList(X5)
& app(app(X4,X2),X5) = X3 )
& ssList(X4) )
& ( nil != X2
| nil = X3 )
& sK42 = X3
& ( ( nil = sK42
& nil != sK41 )
| ( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(sK42,X14)
| ~ neq(X14,nil)
| ~ segmentP(sK41,X14) )
& neq(sK42,nil) ) ) )
& ssList(X2) )
& ssList(sK42) ) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
( ? [X2] :
( ? [X3] :
( ssList(X3)
& sK41 = X2
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != X2
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != X2
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(X2)
& ssList(X5)
& app(app(X4,X2),X5) = X3 )
& ssList(X4) )
& ( nil != X2
| nil = X3 )
& sK42 = X3
& ( ( nil = sK42
& nil != sK41 )
| ( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(sK42,X14)
| ~ neq(X14,nil)
| ~ segmentP(sK41,X14) )
& neq(sK42,nil) ) ) )
& ssList(X2) )
=> ( ? [X3] :
( ssList(X3)
& sK43 = sK41
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != sK43
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != sK43
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(sK43)
& ssList(X5)
& app(app(X4,sK43),X5) = X3 )
& ssList(X4) )
& ( nil != sK43
| nil = X3 )
& sK42 = X3
& ( ( nil = sK42
& nil != sK41 )
| ( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(sK42,X14)
| ~ neq(X14,nil)
| ~ segmentP(sK41,X14) )
& neq(sK42,nil) ) ) )
& ssList(sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
( ? [X3] :
( ssList(X3)
& sK43 = sK41
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != sK43
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != sK43
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(sK43)
& ssList(X5)
& app(app(X4,sK43),X5) = X3 )
& ssList(X4) )
& ( nil != sK43
| nil = X3 )
& sK42 = X3
& ( ( nil = sK42
& nil != sK41 )
| ( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(sK42,X14)
| ~ neq(X14,nil)
| ~ segmentP(sK41,X14) )
& neq(sK42,nil) ) ) )
=> ( ssList(sK44)
& sK43 = sK41
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != sK43
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != sK43
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(sK43)
& ssList(X5)
& sK44 = app(app(X4,sK43),X5) )
& ssList(X4) )
& ( nil != sK43
| nil = sK44 )
& sK44 = sK42
& ( ( nil = sK42
& nil != sK41 )
| ( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(sK42,X14)
| ~ neq(X14,nil)
| ~ segmentP(sK41,X14) )
& neq(sK42,nil) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
( ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != sK43
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != sK43
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(sK43)
& ssList(X5)
& sK44 = app(app(X4,sK43),X5) )
& ssList(X4) )
=> ( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != sK43
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != sK45 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != sK43
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(sK43)
& ssList(X5)
& app(app(sK45,sK43),X5) = sK44 )
& ssList(sK45) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != sK43
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != sK45 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != sK43
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(sK43)
& ssList(X5)
& app(app(sK45,sK43),X5) = sK44 )
=> ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != sK43
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != sK45 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != sK46
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != sK43
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(sK43)
& ssList(sK46)
& app(app(sK45,sK43),sK46) = sK44 ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X0 = X2
& ? [X4] :
( ? [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != X2
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4 )
| ~ ssItem(X6) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != X2
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& strictorderedP(X2)
& ssList(X5)
& app(app(X4,X2),X5) = X3 )
& ssList(X4) )
& ( nil != X2
| nil = X3 )
& X1 = X3
& ( ( nil = X1
& nil != X0 )
| ( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(X1,X14)
| ~ neq(X14,nil)
| ~ segmentP(X0,X14) )
& neq(X1,nil) ) ) )
& ssList(X2) )
& ssList(X1) ) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X1
& nil != X0 )
| ( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(X1,X14)
| ~ neq(X14,nil)
| ~ segmentP(X0,X14) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ? [X4] :
( ? [X5] :
( strictorderedP(X2)
& app(app(X4,X2),X5) = X3
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( app(X13,cons(X12,nil)) != X2
| ~ ssList(X13)
| ~ lt(X12,X10) ) ) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( app(cons(X8,nil),X9) != X2
| ~ ssList(X9)
| ~ lt(X6,X8) )
| ~ ssItem(X8) )
| ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4 )
| ~ ssItem(X6) )
& ssList(X5) )
& ssList(X4) )
& ( nil != X2
| nil = X3 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X1
| nil = X0 )
& ( ? [X14] :
( segmentP(X1,X14)
& neq(X14,nil)
& ssList(X14)
& segmentP(X0,X14) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( ~ strictorderedP(X2)
| app(app(X4,X2),X5) != X3
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ? [X12] :
( ssItem(X12)
& ? [X13] :
( lt(X12,X10)
& app(X13,cons(X12,nil)) = X2
& ssList(X13) ) )
& app(cons(X10,nil),X11) = X5
& ssList(X11) ) )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( lt(X6,X8)
& ssList(X9)
& app(cons(X8,nil),X9) = X2 ) )
& ssList(X7) )
& ssItem(X6) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X1
| nil = X0 )
& ( ? [X14] :
( segmentP(X1,X14)
& neq(X14,nil)
& ssList(X14)
& segmentP(X0,X14) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( ~ strictorderedP(X2)
| app(app(X4,X2),X5) != X3
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ? [X12] :
( ssItem(X12)
& ? [X13] :
( lt(X12,X10)
& app(X13,cons(X12,nil)) = X2
& ssList(X13) ) )
& app(cons(X10,nil),X11) = X5
& ssList(X11) ) )
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( lt(X6,X8)
& ssList(X9)
& app(cons(X8,nil),X9) = X2 ) )
& ssList(X7) )
& ssItem(X6) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f513,plain,
sK43 = sK41,
inference(cnf_transformation,[],[f320]) ).
fof(f508,plain,
app(app(sK45,sK43),sK46) = sK44,
inference(cnf_transformation,[],[f320]) ).
fof(f576,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f527]) ).
fof(f527,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X1)
| segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f327]) ).
fof(f327,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK47(X0,X1),X1),sK48(X0,X1)) = X0
& ssList(sK48(X0,X1))
& ssList(sK47(X0,X1)) )
| ~ segmentP(X0,X1) ) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48])],[f324,f326,f325]) ).
fof(f325,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK47(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK47(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK47(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK47(X0,X1),X1),sK48(X0,X1)) = X0
& ssList(sK48(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f324,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f323]) ).
fof(f323,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f2629,plain,
( ~ spl53_21
| ~ spl53_20
| ~ spl53_5
| spl53_44 ),
inference(avatar_split_clause,[],[f2598,f887,f606,f699,f703]) ).
fof(f699,plain,
( spl53_20
<=> ssList(app(sK45,sK41)) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_20])]) ).
fof(f606,plain,
( spl53_5
<=> nil = sK42 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_5])]) ).
fof(f887,plain,
( spl53_44
<=> nil = app(sK45,sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_44])]) ).
fof(f2598,plain,
( nil = app(sK45,sK41)
| nil != sK42
| ~ ssList(app(sK45,sK41))
| ~ ssList(sK46) ),
inference(superposition,[],[f340,f549]) ).
fof(f340,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X0
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f2592,plain,
( ~ spl53_55
| spl53_179 ),
inference(avatar_split_clause,[],[f2591,f2517,f1002]) ).
fof(f2517,plain,
( spl53_179
<=> segmentP(sK41,sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_179])]) ).
fof(f2591,plain,
( ~ ssList(sK41)
| spl53_179 ),
inference(resolution,[],[f2519,f361]) ).
fof(f361,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f2519,plain,
( ~ segmentP(sK41,sK41)
| spl53_179 ),
inference(avatar_component_clause,[],[f2517]) ).
fof(f2554,plain,
( spl53_7
| ~ spl53_55
| ~ spl53_2
| spl53_178 ),
inference(avatar_split_clause,[],[f2552,f2513,f591,f1002,f614]) ).
fof(f614,plain,
( spl53_7
<=> nil = sK41 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_7])]) ).
fof(f591,plain,
( spl53_2
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f2513,plain,
( spl53_178
<=> neq(sK41,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_178])]) ).
fof(f2552,plain,
( ~ ssList(nil)
| ~ ssList(sK41)
| nil = sK41
| spl53_178 ),
inference(resolution,[],[f2515,f478]) ).
fof(f478,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( X0 != X1
<=> neq(X0,X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f2515,plain,
( ~ neq(sK41,nil)
| spl53_178 ),
inference(avatar_component_clause,[],[f2513]) ).
fof(f2520,plain,
( ~ spl53_178
| ~ spl53_55
| ~ spl53_179
| ~ spl53_6
| ~ spl53_172 ),
inference(avatar_split_clause,[],[f2508,f2456,f610,f2517,f1002,f2513]) ).
fof(f610,plain,
( spl53_6
<=> ! [X14] :
( ~ segmentP(sK42,X14)
| ~ ssList(X14)
| ~ segmentP(sK41,X14)
| ~ neq(X14,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).
fof(f2508,plain,
( ~ segmentP(sK41,sK41)
| ~ ssList(sK41)
| ~ neq(sK41,nil)
| ~ spl53_6
| ~ spl53_172 ),
inference(resolution,[],[f2458,f611]) ).
fof(f611,plain,
( ! [X14] :
( ~ segmentP(sK42,X14)
| ~ neq(X14,nil)
| ~ segmentP(sK41,X14)
| ~ ssList(X14) )
| ~ spl53_6 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f2458,plain,
( segmentP(sK42,sK41)
| ~ spl53_172 ),
inference(avatar_component_clause,[],[f2456]) ).
fof(f1593,plain,
spl53_30,
inference(avatar_split_clause,[],[f507,f805]) ).
fof(f507,plain,
ssList(sK45),
inference(cnf_transformation,[],[f320]) ).
fof(f1461,plain,
spl53_21,
inference(avatar_split_clause,[],[f509,f703]) ).
fof(f509,plain,
ssList(sK46),
inference(cnf_transformation,[],[f320]) ).
fof(f1380,plain,
( ~ spl53_8
| ~ spl53_13
| ~ spl53_12
| ~ spl53_6 ),
inference(avatar_split_clause,[],[f1379,f610,f644,f648,f620]) ).
fof(f620,plain,
( spl53_8
<=> neq(sK42,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).
fof(f648,plain,
( spl53_13
<=> segmentP(sK41,sK42) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_13])]) ).
fof(f1379,plain,
( ~ ssList(sK42)
| ~ segmentP(sK41,sK42)
| ~ neq(sK42,nil)
| ~ spl53_6 ),
inference(duplicate_literal_removal,[],[f1377]) ).
fof(f1377,plain,
( ~ ssList(sK42)
| ~ ssList(sK42)
| ~ segmentP(sK41,sK42)
| ~ neq(sK42,nil)
| ~ spl53_6 ),
inference(resolution,[],[f611,f361]) ).
fof(f1354,plain,
spl53_12,
inference(avatar_split_clause,[],[f499,f644]) ).
fof(f499,plain,
ssList(sK42),
inference(cnf_transformation,[],[f320]) ).
fof(f1348,plain,
( ~ spl53_14
| ~ spl53_5
| spl53_13 ),
inference(avatar_split_clause,[],[f1339,f648,f606,f658]) ).
fof(f658,plain,
( spl53_14
<=> segmentP(sK41,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_14])]) ).
fof(f1339,plain,
( ~ segmentP(sK41,nil)
| ~ spl53_5
| spl53_13 ),
inference(backward_demodulation,[],[f650,f608]) ).
fof(f608,plain,
( nil = sK42
| ~ spl53_5 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f650,plain,
( ~ segmentP(sK41,sK42)
| spl53_13 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f1265,plain,
( ~ spl53_30
| spl53_7
| ~ spl53_55
| ~ spl53_44 ),
inference(avatar_split_clause,[],[f1243,f887,f1002,f614,f805]) ).
fof(f1243,plain,
( ~ ssList(sK41)
| nil = sK41
| ~ ssList(sK45)
| ~ spl53_44 ),
inference(trivial_inequality_removal,[],[f1231]) ).
fof(f1231,plain,
( nil = sK41
| nil != nil
| ~ ssList(sK41)
| ~ ssList(sK45)
| ~ spl53_44 ),
inference(superposition,[],[f339,f889]) ).
fof(f889,plain,
( nil = app(sK45,sK41)
| ~ spl53_44 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f339,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f1097,plain,
( ~ spl53_30
| ~ spl53_55
| spl53_20 ),
inference(avatar_split_clause,[],[f1096,f699,f1002,f805]) ).
fof(f1096,plain,
( ~ ssList(sK41)
| ~ ssList(sK45)
| spl53_20 ),
inference(resolution,[],[f701,f411]) ).
fof(f411,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f701,plain,
( ~ ssList(app(sK45,sK41))
| spl53_20 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f1017,plain,
spl53_55,
inference(avatar_contradiction_clause,[],[f1014]) ).
fof(f1014,plain,
( $false
| spl53_55 ),
inference(resolution,[],[f1004,f551]) ).
fof(f551,plain,
ssList(sK41),
inference(definition_unfolding,[],[f500,f513]) ).
fof(f500,plain,
ssList(sK43),
inference(cnf_transformation,[],[f320]) ).
fof(f1004,plain,
( ~ ssList(sK41)
| spl53_55 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f670,plain,
spl53_14,
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| spl53_14 ),
inference(resolution,[],[f666,f515]) ).
fof(f515,plain,
ssList(sK41),
inference(cnf_transformation,[],[f320]) ).
fof(f666,plain,
( ~ ssList(sK41)
| spl53_14 ),
inference(resolution,[],[f660,f384]) ).
fof(f384,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f660,plain,
( ~ segmentP(sK41,nil)
| spl53_14 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f624,plain,
( ~ spl53_7
| spl53_6 ),
inference(avatar_split_clause,[],[f502,f610,f614]) ).
fof(f502,plain,
! [X14] :
( ~ neq(X14,nil)
| nil != sK41
| ~ ssList(X14)
| ~ segmentP(sK42,X14)
| ~ segmentP(sK41,X14) ),
inference(cnf_transformation,[],[f320]) ).
fof(f623,plain,
( ~ spl53_7
| spl53_8 ),
inference(avatar_split_clause,[],[f501,f620,f614]) ).
fof(f501,plain,
( neq(sK42,nil)
| nil != sK41 ),
inference(cnf_transformation,[],[f320]) ).
fof(f618,plain,
spl53_2,
inference(avatar_split_clause,[],[f362,f591]) ).
fof(f362,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f617,plain,
( spl53_5
| ~ spl53_7 ),
inference(avatar_split_clause,[],[f550,f614,f606]) ).
fof(f550,plain,
( nil != sK41
| nil = sK42 ),
inference(definition_unfolding,[],[f506,f513,f505]) ).
fof(f506,plain,
( nil != sK43
| nil = sK44 ),
inference(cnf_transformation,[],[f320]) ).
fof(f612,plain,
( spl53_5
| spl53_6 ),
inference(avatar_split_clause,[],[f504,f610,f606]) ).
fof(f504,plain,
! [X14] :
( ~ segmentP(sK42,X14)
| ~ neq(X14,nil)
| nil = sK42
| ~ segmentP(sK41,X14)
| ~ ssList(X14) ),
inference(cnf_transformation,[],[f320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC067+1 : TPTP v8.1.0. Released v2.4.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:08:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (1104)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)
% 0.20/0.51 % (1094)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 % (1086)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 % (1086)Instruction limit reached!
% 0.20/0.52 % (1086)------------------------------
% 0.20/0.52 % (1086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1097)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 % (1087)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)
% 0.20/0.52 % (1096)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)
% 0.20/0.52 % (1111)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)
% 0.20/0.52 % (1096)Instruction limit reached!
% 0.20/0.52 % (1096)------------------------------
% 0.20/0.52 % (1096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (1096)Termination reason: Unknown
% 0.20/0.52 % (1096)Termination phase: shuffling
% 0.20/0.52
% 0.20/0.52 % (1096)Memory used [KB]: 1535
% 0.20/0.52 % (1096)Time elapsed: 0.002 s
% 0.20/0.52 % (1096)Instructions burned: 3 (million)
% 0.20/0.52 % (1096)------------------------------
% 0.20/0.52 % (1096)------------------------------
% 0.20/0.52 % (1094)Instruction limit reached!
% 0.20/0.52 % (1094)------------------------------
% 0.20/0.52 % (1094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1097)Instruction limit reached!
% 0.20/0.52 % (1097)------------------------------
% 0.20/0.52 % (1097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1089)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)
% 0.20/0.53 % (1088)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)
% 0.20/0.53 % (1097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1097)Termination reason: Unknown
% 0.20/0.53 % (1097)Termination phase: Preprocessing 3
% 0.20/0.53
% 0.20/0.53 % (1097)Memory used [KB]: 1791
% 0.20/0.53 % (1097)Time elapsed: 0.010 s
% 0.20/0.53 % (1097)Instructions burned: 7 (million)
% 0.20/0.53 % (1097)------------------------------
% 0.20/0.53 % (1097)------------------------------
% 0.20/0.53 % (1111)Instruction limit reached!
% 0.20/0.53 % (1111)------------------------------
% 0.20/0.53 % (1111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1111)Termination reason: Unknown
% 0.20/0.53 % (1111)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (1111)Memory used [KB]: 1791
% 0.20/0.53 % (1111)Time elapsed: 0.009 s
% 0.20/0.53 % (1111)Instructions burned: 8 (million)
% 0.20/0.53 % (1111)------------------------------
% 0.20/0.53 % (1111)------------------------------
% 0.20/0.53 % (1086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1086)Termination reason: Unknown
% 0.20/0.53 % (1086)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (1086)Memory used [KB]: 6268
% 0.20/0.53 % (1086)Time elapsed: 0.104 s
% 0.20/0.53 % (1086)Instructions burned: 14 (million)
% 0.20/0.53 % (1086)------------------------------
% 0.20/0.53 % (1086)------------------------------
% 0.20/0.53 % (1094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1094)Termination reason: Unknown
% 0.20/0.53 % (1094)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (1094)Memory used [KB]: 2046
% 0.20/0.53 % (1094)Time elapsed: 0.117 s
% 0.20/0.53 % (1094)Instructions burned: 17 (million)
% 0.20/0.53 % (1094)------------------------------
% 0.20/0.53 % (1094)------------------------------
% 0.20/0.53 % (1105)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)
% 0.20/0.53 % (1095)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)
% 0.20/0.53 % (1109)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)
% 0.20/0.54 % (1103)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)
% 0.20/0.54 % (1081)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (1101)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)
% 0.20/0.54 % (1085)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)
% 0.20/0.54 % (1108)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)
% 0.20/0.54 % (1107)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)
% 0.20/0.55 % (1082)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)
% 0.20/0.55 % (1087)Instruction limit reached!
% 0.20/0.55 % (1087)------------------------------
% 0.20/0.55 % (1087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (1087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (1087)Termination reason: Unknown
% 0.20/0.55 % (1087)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (1087)Memory used [KB]: 1791
% 0.20/0.55 % (1087)Time elapsed: 0.140 s
% 0.20/0.55 % (1087)Instructions burned: 16 (million)
% 0.20/0.55 % (1087)------------------------------
% 0.20/0.55 % (1087)------------------------------
% 0.20/0.55 % (1112)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)
% 0.20/0.55 % (1110)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)
% 0.20/0.55 % (1098)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)
% 0.20/0.55 % (1084)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)
% 0.20/0.55 % (1082)Instruction limit reached!
% 0.20/0.55 % (1082)------------------------------
% 0.20/0.55 % (1082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (1082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (1082)Termination reason: Unknown
% 0.20/0.55 % (1082)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (1082)Memory used [KB]: 6396
% 0.20/0.55 % (1082)Time elapsed: 0.008 s
% 0.20/0.55 % (1082)Instructions burned: 14 (million)
% 0.20/0.55 % (1082)------------------------------
% 0.20/0.55 % (1082)------------------------------
% 0.20/0.55 % (1100)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)
% 0.20/0.55 % (1084)Instruction limit reached!
% 0.20/0.55 % (1084)------------------------------
% 0.20/0.55 % (1084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (1084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (1084)Termination reason: Unknown
% 0.20/0.55 % (1084)Termination phase: shuffling
% 0.20/0.55
% 0.20/0.55 % (1084)Memory used [KB]: 1535
% 0.20/0.55 % (1084)Time elapsed: 0.003 s
% 0.20/0.55 % (1084)Instructions burned: 3 (million)
% 0.20/0.55 % (1084)------------------------------
% 0.20/0.55 % (1084)------------------------------
% 0.20/0.55 % (1100)Instruction limit reached!
% 0.20/0.55 % (1100)------------------------------
% 0.20/0.55 % (1100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (1100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (1100)Termination reason: Unknown
% 0.20/0.55 % (1100)Termination phase: Preprocessing 1
% 0.20/0.55
% 0.20/0.55 % (1100)Memory used [KB]: 1407
% 0.20/0.55 % (1100)Time elapsed: 0.003 s
% 0.20/0.55 % (1100)Instructions burned: 2 (million)
% 0.20/0.55 % (1100)------------------------------
% 0.20/0.55 % (1100)------------------------------
% 1.49/0.56 % (1099)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.49/0.56 % (1093)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)
% 1.49/0.56 % (1090)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)
% 1.49/0.56 % (1099)Instruction limit reached!
% 1.49/0.56 % (1099)------------------------------
% 1.49/0.56 % (1099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (1091)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)
% 1.49/0.56 % (1099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (1099)Termination reason: Unknown
% 1.49/0.56 % (1099)Termination phase: Preprocessing 3
% 1.49/0.56
% 1.49/0.56 % (1099)Memory used [KB]: 1663
% 1.49/0.56 % (1099)Time elapsed: 0.003 s
% 1.49/0.56 % (1099)Instructions burned: 5 (million)
% 1.49/0.56 % (1099)------------------------------
% 1.49/0.56 % (1099)------------------------------
% 1.49/0.56 % (1093)Instruction limit reached!
% 1.49/0.56 % (1093)------------------------------
% 1.49/0.56 % (1093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (1092)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)
% 1.49/0.56 % (1101)Instruction limit reached!
% 1.49/0.56 % (1101)------------------------------
% 1.49/0.56 % (1101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (1102)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)
% 1.49/0.57 % (1101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57 % (1101)Termination reason: Unknown
% 1.49/0.57 % (1101)Termination phase: Saturation
% 1.49/0.57
% 1.49/0.57 % (1101)Memory used [KB]: 6396
% 1.49/0.57 % (1101)Time elapsed: 0.148 s
% 1.49/0.57 % (1101)Instructions burned: 12 (million)
% 1.49/0.57 % (1101)------------------------------
% 1.49/0.57 % (1101)------------------------------
% 1.49/0.57 % (1092)Instruction limit reached!
% 1.49/0.57 % (1092)------------------------------
% 1.49/0.57 % (1092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57 % (1092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57 % (1092)Termination reason: Unknown
% 1.49/0.57 % (1092)Termination phase: Saturation
% 1.49/0.57
% 1.49/0.57 % (1092)Memory used [KB]: 6396
% 1.49/0.57 % (1092)Time elapsed: 0.165 s
% 1.49/0.57 % (1092)Instructions burned: 12 (million)
% 1.49/0.57 % (1092)------------------------------
% 1.49/0.57 % (1092)------------------------------
% 1.73/0.58 % (1089)Instruction limit reached!
% 1.73/0.58 % (1089)------------------------------
% 1.73/0.58 % (1089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.58 % (1089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58 % (1093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58 % (1093)Termination reason: Unknown
% 1.73/0.58 % (1093)Termination phase: Saturation
% 1.73/0.58
% 1.73/0.58 % (1093)Memory used [KB]: 6140
% 1.73/0.58 % (1093)Time elapsed: 0.005 s
% 1.73/0.58 % (1093)Instructions burned: 8 (million)
% 1.73/0.58 % (1093)------------------------------
% 1.73/0.58 % (1093)------------------------------
% 1.73/0.58 % (1089)Termination reason: Unknown
% 1.73/0.58 % (1089)Termination phase: Saturation
% 1.73/0.58
% 1.73/0.58 % (1089)Memory used [KB]: 6652
% 1.73/0.58 % (1089)Time elapsed: 0.107 s
% 1.73/0.58 % (1089)Instructions burned: 39 (million)
% 1.73/0.58 % (1089)------------------------------
% 1.73/0.58 % (1089)------------------------------
% 1.73/0.58 % (1088)Instruction limit reached!
% 1.73/0.58 % (1088)------------------------------
% 1.73/0.58 % (1088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.58 % (1088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.58 % (1088)Termination reason: Unknown
% 1.73/0.58 % (1088)Termination phase: Saturation
% 1.73/0.58
% 1.73/0.58 % (1088)Memory used [KB]: 6524
% 1.73/0.58 % (1088)Time elapsed: 0.167 s
% 1.73/0.58 % (1088)Instructions burned: 39 (million)
% 1.73/0.58 % (1088)------------------------------
% 1.73/0.58 % (1088)------------------------------
% 1.73/0.59 % (1105)Instruction limit reached!
% 1.73/0.59 % (1105)------------------------------
% 1.73/0.59 % (1105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.59 % (1105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.59 % (1105)Termination reason: Unknown
% 1.73/0.59 % (1105)Termination phase: Saturation
% 1.73/0.59
% 1.73/0.59 % (1105)Memory used [KB]: 2302
% 1.73/0.59 % (1105)Time elapsed: 0.149 s
% 1.73/0.59 % (1105)Instructions burned: 45 (million)
% 1.73/0.59 % (1105)------------------------------
% 1.73/0.59 % (1105)------------------------------
% 1.73/0.60 % (1112)Instruction limit reached!
% 1.73/0.60 % (1112)------------------------------
% 1.73/0.60 % (1112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (1112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (1112)Termination reason: Unknown
% 1.73/0.60 % (1112)Termination phase: Saturation
% 1.73/0.60
% 1.73/0.60 % (1112)Memory used [KB]: 6524
% 1.73/0.60 % (1112)Time elapsed: 0.197 s
% 1.73/0.60 % (1112)Instructions burned: 26 (million)
% 1.73/0.60 % (1112)------------------------------
% 1.73/0.60 % (1112)------------------------------
% 1.73/0.60 % (1110)Instruction limit reached!
% 1.73/0.60 % (1110)------------------------------
% 1.73/0.60 % (1110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.60 % (1110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.60 % (1110)Termination reason: Unknown
% 1.73/0.60 % (1110)Termination phase: Saturation
% 1.73/0.60
% 1.73/0.60 % (1110)Memory used [KB]: 6652
% 1.73/0.60 % (1110)Time elapsed: 0.195 s
% 1.73/0.60 % (1110)Instructions burned: 26 (million)
% 1.73/0.60 % (1110)------------------------------
% 1.73/0.60 % (1110)------------------------------
% 1.73/0.61 % (1085)Instruction limit reached!
% 1.73/0.61 % (1085)------------------------------
% 1.73/0.61 % (1085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61 % (1085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61 % (1085)Termination reason: Unknown
% 1.73/0.61 % (1085)Termination phase: Saturation
% 1.73/0.61
% 1.73/0.61 % (1085)Memory used [KB]: 7291
% 1.73/0.61 % (1085)Time elapsed: 0.202 s
% 1.73/0.61 % (1085)Instructions burned: 52 (million)
% 1.73/0.61 % (1085)------------------------------
% 1.73/0.61 % (1085)------------------------------
% 1.73/0.61 % (1102)Instruction limit reached!
% 1.73/0.61 % (1102)------------------------------
% 1.73/0.61 % (1102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.61 % (1102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.61 % (1102)Termination reason: Unknown
% 1.73/0.61 % (1102)Termination phase: Saturation
% 1.73/0.61
% 1.73/0.61 % (1102)Memory used [KB]: 6652
% 1.73/0.61 % (1102)Time elapsed: 0.207 s
% 1.73/0.61 % (1102)Instructions burned: 31 (million)
% 1.73/0.61 % (1102)------------------------------
% 1.73/0.61 % (1102)------------------------------
% 1.73/0.62 % (1091)Instruction limit reached!
% 1.73/0.62 % (1091)------------------------------
% 1.73/0.62 % (1091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.62 % (1091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.62 % (1091)Termination reason: Unknown
% 1.73/0.62 % (1091)Termination phase: Saturation
% 1.73/0.62
% 1.73/0.62 % (1091)Memory used [KB]: 6780
% 1.73/0.62 % (1091)Time elapsed: 0.192 s
% 1.73/0.62 % (1091)Instructions burned: 34 (million)
% 1.73/0.62 % (1091)------------------------------
% 1.73/0.62 % (1091)------------------------------
% 1.73/0.62 % (1104)First to succeed.
% 1.73/0.63 % (1104)Refutation found. Thanks to Tanya!
% 1.73/0.63 % SZS status Theorem for theBenchmark
% 1.73/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.63 % (1104)------------------------------
% 1.73/0.63 % (1104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/0.63 % (1104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/0.63 % (1104)Termination reason: Refutation
% 1.73/0.63
% 1.73/0.63 % (1104)Memory used [KB]: 7803
% 1.73/0.63 % (1104)Time elapsed: 0.216 s
% 1.73/0.63 % (1104)Instructions burned: 61 (million)
% 1.73/0.63 % (1104)------------------------------
% 1.73/0.63 % (1104)------------------------------
% 1.73/0.63 % (1068)Success in time 0.257 s
%------------------------------------------------------------------------------