TSTP Solution File: SWC160+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC160+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.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 : Thu Aug 31 20:57:03 EDT 2023
% Result : Theorem 4.38s 1.07s
% Output : Refutation 4.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 40
% Syntax : Number of formulae : 200 ( 18 unt; 0 def)
% Number of atoms : 1295 ( 220 equ)
% Maximal formula atoms : 60 ( 6 avg)
% Number of connectives : 1766 ( 671 ~; 625 |; 376 &)
% ( 14 <=>; 80 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 389 (; 211 !; 178 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34426,plain,
$false,
inference(avatar_sat_refutation,[],[f646,f800,f831,f998,f1004,f1056,f1262,f2723,f2753,f20655,f20697,f34421]) ).
fof(f34421,plain,
( ~ spl58_9
| ~ spl58_12
| ~ spl58_18 ),
inference(avatar_contradiction_clause,[],[f34420]) ).
fof(f34420,plain,
( $false
| ~ spl58_9
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f34419,f622]) ).
fof(f622,plain,
ssList(sK0),
inference(forward_demodulation,[],[f346,f349]) ).
fof(f349,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( ( nil != sK2
| nil = sK3 )
& ( ~ leq(sK4,sK5)
| ( ( ~ leq(sK9,sK5)
| ~ leq(sK4,sK9) )
& memberP(sK7,sK9)
& ssItem(sK9) ) )
& leq(sK5,sK4)
& sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8)
& ssList(sK8)
& ssList(sK7)
& ssList(sK6)
& ssItem(sK5)
& ssItem(sK4)
& ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != sK2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != sK10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(sK2)
& sK3 = app(sK2,sK10)
& ssList(sK10)
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f100,f234,f233,f232,f231,f230,f229,f228,f227,f226,f225,f224]) ).
fof(f224,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != X2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != X10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(X2)
& app(X2,X10) = X3
& ssList(X10) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != X2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != X10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(X2)
& app(X2,X10) = X3
& ssList(X10) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != X2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != X10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(X2)
& app(X2,X10) = X3
& ssList(X10) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != X2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != X10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(X2)
& app(X2,X10) = X3
& ssList(X10) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != X2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != X10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(X2)
& app(X2,X10) = X3
& ssList(X10) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( nil != sK2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != sK2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != X10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(sK2)
& app(sK2,X10) = X3
& ssList(X10) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f227,plain,
( ? [X3] :
( ( nil != sK2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != sK2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != X10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(sK2)
& app(sK2,X10) = X3
& ssList(X10) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ( nil != sK2
| nil = sK3 )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != sK2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != X10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(sK2)
& app(sK2,X10) = sK3
& ssList(X10) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = sK0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(sK4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(sK4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,sK4)
& sK0 = app(app(app(app(X6,cons(sK4,nil)),X7),cons(X5,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(sK4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(sK4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,sK4)
& sK0 = app(app(app(app(X6,cons(sK4,nil)),X7),cons(X5,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
=> ( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(sK4,sK5)
| ? [X9] :
( ( ~ leq(X9,sK5)
| ~ leq(sK4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(sK5,sK4)
& sK0 = app(app(app(app(X6,cons(sK4,nil)),X7),cons(sK5,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(sK4,sK5)
| ? [X9] :
( ( ~ leq(X9,sK5)
| ~ leq(sK4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(sK5,sK4)
& sK0 = app(app(app(app(X6,cons(sK4,nil)),X7),cons(sK5,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
=> ( ? [X7] :
( ? [X8] :
( ( ~ leq(sK4,sK5)
| ? [X9] :
( ( ~ leq(X9,sK5)
| ~ leq(sK4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(sK5,sK4)
& sK0 = app(app(app(app(sK6,cons(sK4,nil)),X7),cons(sK5,nil)),X8)
& ssList(X8) )
& ssList(X7) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
( ? [X7] :
( ? [X8] :
( ( ~ leq(sK4,sK5)
| ? [X9] :
( ( ~ leq(X9,sK5)
| ~ leq(sK4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(sK5,sK4)
& sK0 = app(app(app(app(sK6,cons(sK4,nil)),X7),cons(sK5,nil)),X8)
& ssList(X8) )
& ssList(X7) )
=> ( ? [X8] :
( ( ~ leq(sK4,sK5)
| ? [X9] :
( ( ~ leq(X9,sK5)
| ~ leq(sK4,X9) )
& memberP(sK7,X9)
& ssItem(X9) ) )
& leq(sK5,sK4)
& sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),X8)
& ssList(X8) )
& ssList(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
( ? [X8] :
( ( ~ leq(sK4,sK5)
| ? [X9] :
( ( ~ leq(X9,sK5)
| ~ leq(sK4,X9) )
& memberP(sK7,X9)
& ssItem(X9) ) )
& leq(sK5,sK4)
& sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),X8)
& ssList(X8) )
=> ( ( ~ leq(sK4,sK5)
| ? [X9] :
( ( ~ leq(X9,sK5)
| ~ leq(sK4,X9) )
& memberP(sK7,X9)
& ssItem(X9) ) )
& leq(sK5,sK4)
& sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8)
& ssList(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
( ? [X9] :
( ( ~ leq(X9,sK5)
| ~ leq(sK4,X9) )
& memberP(sK7,X9)
& ssItem(X9) )
=> ( ( ~ leq(sK9,sK5)
| ~ leq(sK4,sK9) )
& memberP(sK7,sK9)
& ssItem(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
( ? [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != sK2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != X10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(sK2)
& app(sK2,X10) = sK3
& ssList(X10) )
=> ( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != sK2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != sK10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(sK2)
& sK3 = app(sK2,sK10)
& ssList(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != X2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != X10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(X2)
& app(X2,X10) = X3
& ssList(X10) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ~ leq(X4,X5)
| ? [X9] :
( ( ~ leq(X9,X5)
| ~ leq(X4,X9) )
& memberP(X7,X9)
& ssItem(X9) ) )
& leq(X5,X4)
& app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ! [X14] :
( ~ lt(X13,X11)
| app(X14,cons(X13,nil)) != X2
| ~ ssList(X14) )
| ~ ssItem(X13) )
| app(cons(X11,nil),X12) != X10
| ~ ssList(X12) )
| ~ ssItem(X11) )
& strictorderedP(X2)
& app(X2,X10) = X3
& ssList(X10) )
& X0 = X2
& X1 = X3
& 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)
=> ( ( nil = X2
& nil != X3 )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( ( leq(X4,X5)
& ! [X9] :
( ssItem(X9)
=> ( ( leq(X9,X5)
& leq(X4,X9) )
| ~ memberP(X7,X9) ) ) )
| ~ leq(X5,X4)
| app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0 ) ) ) ) ) )
| ! [X10] :
( ssList(X10)
=> ( ? [X11] :
( ? [X12] :
( ? [X13] :
( ? [X14] :
( lt(X13,X11)
& app(X14,cons(X13,nil)) = X2
& ssList(X14) )
& ssItem(X13) )
& app(cons(X11,nil),X12) = X10
& ssList(X12) )
& ssItem(X11) )
| ~ strictorderedP(X2)
| app(X2,X10) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X2
& nil != X3 )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ssList(X12)
=> ! [X13] :
( ssList(X13)
=> ( ( leq(X9,X10)
& ! [X14] :
( ssItem(X14)
=> ( ( leq(X14,X10)
& leq(X9,X14) )
| ~ memberP(X12,X14) ) ) )
| ~ leq(X10,X9)
| app(app(app(app(X11,cons(X9,nil)),X12),cons(X10,nil)),X13) != X0 ) ) ) ) ) )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = X2
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ strictorderedP(X2)
| app(X2,X4) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil = X2
& nil != X3 )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ssList(X12)
=> ! [X13] :
( ssList(X13)
=> ( ( leq(X9,X10)
& ! [X14] :
( ssItem(X14)
=> ( ( leq(X14,X10)
& leq(X9,X14) )
| ~ memberP(X12,X14) ) ) )
| ~ leq(X10,X9)
| app(app(app(app(X11,cons(X9,nil)),X12),cons(X10,nil)),X13) != X0 ) ) ) ) ) )
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = X2
& ssList(X8) )
& ssItem(X7) )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| ~ strictorderedP(X2)
| app(X2,X4) != X3 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',co1) ).
fof(f346,plain,
ssList(sK2),
inference(cnf_transformation,[],[f235]) ).
fof(f34419,plain,
( ~ ssList(sK0)
| ~ spl58_9
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f34418,f21902]) ).
fof(f21902,plain,
( ~ lt(sK4,sK5)
| ~ spl58_9 ),
inference(subsumption_resolution,[],[f21901,f354]) ).
fof(f354,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f235]) ).
fof(f21901,plain,
( ~ lt(sK4,sK5)
| ~ ssItem(sK4)
| ~ spl58_9 ),
inference(subsumption_resolution,[],[f21894,f355]) ).
fof(f355,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f235]) ).
fof(f21894,plain,
( ~ lt(sK4,sK5)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| ~ spl58_9 ),
inference(resolution,[],[f640,f386]) ).
fof(f386,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax33) ).
fof(f640,plain,
( lt(sK5,sK4)
| ~ spl58_9 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f638,plain,
( spl58_9
<=> lt(sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_9])]) ).
fof(f34418,plain,
( lt(sK4,sK5)
| ~ ssList(sK0)
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f34417,f354]) ).
fof(f34417,plain,
( ~ ssItem(sK4)
| lt(sK4,sK5)
| ~ ssList(sK0)
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f34416,f355]) ).
fof(f34416,plain,
( ~ ssItem(sK5)
| ~ ssItem(sK4)
| lt(sK4,sK5)
| ~ ssList(sK0)
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f34415,f356]) ).
fof(f356,plain,
ssList(sK6),
inference(cnf_transformation,[],[f235]) ).
fof(f34415,plain,
( ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| lt(sK4,sK5)
| ~ ssList(sK0)
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f34414,f357]) ).
fof(f357,plain,
ssList(sK7),
inference(cnf_transformation,[],[f235]) ).
fof(f34414,plain,
( ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| lt(sK4,sK5)
| ~ ssList(sK0)
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f34413,f358]) ).
fof(f358,plain,
ssList(sK8),
inference(cnf_transformation,[],[f235]) ).
fof(f34413,plain,
( ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| lt(sK4,sK5)
| ~ ssList(sK0)
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f34367,f623]) ).
fof(f623,plain,
strictorderedP(sK0),
inference(superposition,[],[f352,f349]) ).
fof(f352,plain,
strictorderedP(sK2),
inference(cnf_transformation,[],[f235]) ).
fof(f34367,plain,
( ~ strictorderedP(sK0)
| ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| lt(sK4,sK5)
| ~ ssList(sK0)
| ~ spl58_12
| ~ spl58_18 ),
inference(superposition,[],[f571,f19374]) ).
fof(f19374,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8))
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f19373,f357]) ).
fof(f19373,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8))
| ~ ssList(sK7)
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f19333,f354]) ).
fof(f19333,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8))
| ~ ssItem(sK4)
| ~ ssList(sK7)
| ~ spl58_12
| ~ spl58_18 ),
inference(superposition,[],[f4145,f513]) ).
fof(f513,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,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/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax81) ).
fof(f4145,plain,
( sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,sK8))
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f4144,f356]) ).
fof(f4144,plain,
( sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,sK8))
| ~ ssList(sK6)
| ~ spl58_12
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f4143,f794]) ).
fof(f794,plain,
( ssList(cons(sK4,nil))
| ~ spl58_12 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f793,plain,
( spl58_12
<=> ssList(cons(sK4,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_12])]) ).
fof(f4143,plain,
( sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,sK8))
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f4113,f357]) ).
fof(f4113,plain,
( sK0 = app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,sK8))
| ~ ssList(sK7)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| ~ spl58_18 ),
inference(superposition,[],[f2642,f543]) ).
fof(f543,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax82) ).
fof(f2642,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,sK8))
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f2641,f358]) ).
fof(f2641,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,sK8))
| ~ ssList(sK8)
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f2617,f355]) ).
fof(f2617,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,sK8))
| ~ ssItem(sK5)
| ~ ssList(sK8)
| ~ spl58_18 ),
inference(superposition,[],[f823,f513]) ).
fof(f823,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ spl58_18 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f821,plain,
( spl58_18
<=> sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_18])]) ).
fof(f571,plain,
! [X10,X8,X6,X9,X7] :
( ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| lt(X6,X7)
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f494]) ).
fof(f494,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),sK48(X0))),cons(sK46(X0),sK49(X0))) = X0
& ssList(sK49(X0))
& ssList(sK48(X0))
& ssList(sK47(X0))
& ssItem(sK46(X0))
& ssItem(sK45(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46,sK47,sK48,sK49])],[f310,f315,f314,f313,f312,f311]) ).
fof(f311,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),X2)
& app(app(X3,cons(sK45(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),X2)
& app(app(X3,cons(sK45(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK46(X0))
& app(app(X3,cons(sK45(X0),X4)),cons(sK46(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK46(X0))
& app(app(X3,cons(sK45(X0),X4)),cons(sK46(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),X4)),cons(sK46(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f314,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),X4)),cons(sK46(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),sK48(X0))),cons(sK46(X0),X5)) = X0
& ssList(X5) )
& ssList(sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),sK48(X0))),cons(sK46(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),sK48(X0))),cons(sK46(X0),sK49(X0))) = X0
& ssList(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f309]) ).
fof(f309,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax12) ).
fof(f20697,plain,
~ spl58_747,
inference(avatar_contradiction_clause,[],[f20696]) ).
fof(f20696,plain,
( $false
| ~ spl58_747 ),
inference(subsumption_resolution,[],[f20683,f354]) ).
fof(f20683,plain,
( ~ ssItem(sK4)
| ~ spl58_747 ),
inference(resolution,[],[f20648,f375]) ).
fof(f375,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax90) ).
fof(f20648,plain,
( lt(sK4,sK4)
| ~ spl58_747 ),
inference(avatar_component_clause,[],[f20646]) ).
fof(f20646,plain,
( spl58_747
<=> lt(sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_747])]) ).
fof(f20655,plain,
( spl58_747
| ~ spl58_8
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(avatar_split_clause,[],[f20654,f2719,f2649,f821,f817,f807,f797,f793,f634,f20646]) ).
fof(f634,plain,
( spl58_8
<=> sK4 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl58_8])]) ).
fof(f797,plain,
( spl58_13
<=> sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_13])]) ).
fof(f807,plain,
( spl58_15
<=> ssList(cons(sK5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_15])]) ).
fof(f817,plain,
( spl58_17
<=> ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_17])]) ).
fof(f2649,plain,
( spl58_107
<=> ssList(app(cons(sK5,nil),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_107])]) ).
fof(f2719,plain,
( spl58_119
<=> ! [X9] :
( sK0 != app(app(app(sK6,cons(sK4,nil)),sK7),X9)
| ~ ssList(X9)
| app(cons(sK5,nil),sK8) = X9 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_119])]) ).
fof(f20654,plain,
( lt(sK4,sK4)
| ~ spl58_8
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(subsumption_resolution,[],[f20604,f622]) ).
fof(f20604,plain,
( lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl58_8
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(subsumption_resolution,[],[f20603,f354]) ).
fof(f20603,plain,
( ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl58_8
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(subsumption_resolution,[],[f20602,f356]) ).
fof(f20602,plain,
( ~ ssList(sK6)
| ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl58_8
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(subsumption_resolution,[],[f20601,f357]) ).
fof(f20601,plain,
( ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl58_8
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(subsumption_resolution,[],[f20600,f358]) ).
fof(f20600,plain,
( ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl58_8
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(subsumption_resolution,[],[f20594,f623]) ).
fof(f20594,plain,
( ~ strictorderedP(sK0)
| ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl58_8
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(duplicate_literal_removal,[],[f20549]) ).
fof(f20549,plain,
( ~ strictorderedP(sK0)
| ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK4)
| ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl58_8
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(superposition,[],[f571,f19067]) ).
fof(f19067,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),cons(sK4,sK8))
| ~ spl58_8
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(forward_demodulation,[],[f19030,f8112]) ).
fof(f8112,plain,
( app(cons(sK4,nil),sK8) = cons(sK4,sK8)
| ~ spl58_8
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(forward_demodulation,[],[f8111,f636]) ).
fof(f636,plain,
( sK4 = sK5
| ~ spl58_8 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f8111,plain,
( app(cons(sK5,nil),sK8) = cons(sK5,sK8)
| ~ spl58_18
| ~ spl58_107
| ~ spl58_119 ),
inference(subsumption_resolution,[],[f8106,f3098]) ).
fof(f3098,plain,
( ssList(cons(sK5,sK8))
| ~ spl58_107 ),
inference(subsumption_resolution,[],[f3097,f358]) ).
fof(f3097,plain,
( ssList(cons(sK5,sK8))
| ~ ssList(sK8)
| ~ spl58_107 ),
inference(superposition,[],[f2813,f430]) ).
fof(f430,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,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/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax28) ).
fof(f2813,plain,
( ssList(cons(sK5,app(nil,sK8)))
| ~ spl58_107 ),
inference(subsumption_resolution,[],[f2812,f358]) ).
fof(f2812,plain,
( ssList(cons(sK5,app(nil,sK8)))
| ~ ssList(sK8)
| ~ spl58_107 ),
inference(subsumption_resolution,[],[f2811,f373]) ).
fof(f373,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax17) ).
fof(f2811,plain,
( ssList(cons(sK5,app(nil,sK8)))
| ~ ssList(nil)
| ~ ssList(sK8)
| ~ spl58_107 ),
inference(subsumption_resolution,[],[f2810,f355]) ).
fof(f2810,plain,
( ssList(cons(sK5,app(nil,sK8)))
| ~ ssItem(sK5)
| ~ ssList(nil)
| ~ ssList(sK8)
| ~ spl58_107 ),
inference(superposition,[],[f2650,f540]) ).
fof(f540,plain,
! [X2,X0,X1] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax27) ).
fof(f2650,plain,
( ssList(app(cons(sK5,nil),sK8))
| ~ spl58_107 ),
inference(avatar_component_clause,[],[f2649]) ).
fof(f8106,plain,
( ~ ssList(cons(sK5,sK8))
| app(cons(sK5,nil),sK8) = cons(sK5,sK8)
| ~ spl58_18
| ~ spl58_119 ),
inference(trivial_inequality_removal,[],[f8098]) ).
fof(f8098,plain,
( sK0 != sK0
| ~ ssList(cons(sK5,sK8))
| app(cons(sK5,nil),sK8) = cons(sK5,sK8)
| ~ spl58_18
| ~ spl58_119 ),
inference(superposition,[],[f2720,f2642]) ).
fof(f2720,plain,
( ! [X9] :
( sK0 != app(app(app(sK6,cons(sK4,nil)),sK7),X9)
| ~ ssList(X9)
| app(cons(sK5,nil),sK8) = X9 )
| ~ spl58_119 ),
inference(avatar_component_clause,[],[f2719]) ).
fof(f19030,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),app(cons(sK4,nil),sK8))
| ~ spl58_8
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17 ),
inference(superposition,[],[f4047,f636]) ).
fof(f4047,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8))
| ~ spl58_12
| ~ spl58_13
| ~ spl58_15
| ~ spl58_17 ),
inference(subsumption_resolution,[],[f4046,f1335]) ).
fof(f1335,plain,
( ssList(app(sK6,cons(sK4,sK7)))
| ~ spl58_12
| ~ spl58_17 ),
inference(subsumption_resolution,[],[f1334,f357]) ).
fof(f1334,plain,
( ssList(app(sK6,cons(sK4,sK7)))
| ~ ssList(sK7)
| ~ spl58_12
| ~ spl58_17 ),
inference(subsumption_resolution,[],[f1332,f354]) ).
fof(f1332,plain,
( ssList(app(sK6,cons(sK4,sK7)))
| ~ ssItem(sK4)
| ~ ssList(sK7)
| ~ spl58_12
| ~ spl58_17 ),
inference(superposition,[],[f1284,f513]) ).
fof(f1284,plain,
( ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ spl58_12
| ~ spl58_17 ),
inference(subsumption_resolution,[],[f1283,f356]) ).
fof(f1283,plain,
( ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ ssList(sK6)
| ~ spl58_12
| ~ spl58_17 ),
inference(subsumption_resolution,[],[f1282,f794]) ).
fof(f1282,plain,
( ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| ~ spl58_17 ),
inference(subsumption_resolution,[],[f1281,f357]) ).
fof(f1281,plain,
( ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ ssList(sK7)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| ~ spl58_17 ),
inference(superposition,[],[f818,f543]) ).
fof(f818,plain,
( ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ spl58_17 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f4046,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8))
| ~ ssList(app(sK6,cons(sK4,sK7)))
| ~ spl58_13
| ~ spl58_15 ),
inference(subsumption_resolution,[],[f4045,f808]) ).
fof(f808,plain,
( ssList(cons(sK5,nil))
| ~ spl58_15 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f4045,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,sK7)))
| ~ spl58_13 ),
inference(subsumption_resolution,[],[f4015,f358]) ).
fof(f4015,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8))
| ~ ssList(sK8)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,sK7)))
| ~ spl58_13 ),
inference(superposition,[],[f543,f2488]) ).
fof(f2488,plain,
( sK0 = app(app(app(sK6,cons(sK4,sK7)),cons(sK5,nil)),sK8)
| ~ spl58_13 ),
inference(subsumption_resolution,[],[f2487,f357]) ).
fof(f2487,plain,
( sK0 = app(app(app(sK6,cons(sK4,sK7)),cons(sK5,nil)),sK8)
| ~ ssList(sK7)
| ~ spl58_13 ),
inference(subsumption_resolution,[],[f2462,f354]) ).
fof(f2462,plain,
( sK0 = app(app(app(sK6,cons(sK4,sK7)),cons(sK5,nil)),sK8)
| ~ ssItem(sK4)
| ~ ssList(sK7)
| ~ spl58_13 ),
inference(superposition,[],[f799,f513]) ).
fof(f799,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ spl58_13 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f2753,plain,
( ~ spl58_15
| spl58_107 ),
inference(avatar_contradiction_clause,[],[f2752]) ).
fof(f2752,plain,
( $false
| ~ spl58_15
| spl58_107 ),
inference(subsumption_resolution,[],[f2751,f808]) ).
fof(f2751,plain,
( ~ ssList(cons(sK5,nil))
| spl58_107 ),
inference(subsumption_resolution,[],[f2748,f358]) ).
fof(f2748,plain,
( ~ ssList(sK8)
| ~ ssList(cons(sK5,nil))
| spl58_107 ),
inference(resolution,[],[f2651,f518]) ).
fof(f518,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax26) ).
fof(f2651,plain,
( ~ ssList(app(cons(sK5,nil),sK8))
| spl58_107 ),
inference(avatar_component_clause,[],[f2649]) ).
fof(f2723,plain,
( ~ spl58_107
| spl58_119
| ~ spl58_17
| ~ spl58_18 ),
inference(avatar_split_clause,[],[f2722,f821,f817,f2719,f2649]) ).
fof(f2722,plain,
( ! [X10] :
( sK0 != app(app(app(sK6,cons(sK4,nil)),sK7),X10)
| app(cons(sK5,nil),sK8) = X10
| ~ ssList(X10)
| ~ ssList(app(cons(sK5,nil),sK8)) )
| ~ spl58_17
| ~ spl58_18 ),
inference(subsumption_resolution,[],[f2636,f818]) ).
fof(f2636,plain,
( ! [X10] :
( sK0 != app(app(app(sK6,cons(sK4,nil)),sK7),X10)
| app(cons(sK5,nil),sK8) = X10
| ~ ssList(X10)
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(app(cons(sK5,nil),sK8)) )
| ~ spl58_18 ),
inference(superposition,[],[f547,f823]) ).
fof(f547,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax80) ).
fof(f1262,plain,
( ~ spl58_14
| spl58_17 ),
inference(avatar_contradiction_clause,[],[f1261]) ).
fof(f1261,plain,
( $false
| ~ spl58_14
| spl58_17 ),
inference(subsumption_resolution,[],[f1260,f804]) ).
fof(f804,plain,
( ssList(app(sK6,cons(sK4,nil)))
| ~ spl58_14 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f803,plain,
( spl58_14
<=> ssList(app(sK6,cons(sK4,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl58_14])]) ).
fof(f1260,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl58_17 ),
inference(subsumption_resolution,[],[f1258,f357]) ).
fof(f1258,plain,
( ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK4,nil)))
| spl58_17 ),
inference(resolution,[],[f819,f518]) ).
fof(f819,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| spl58_17 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f1056,plain,
( ~ spl58_12
| spl58_14 ),
inference(avatar_contradiction_clause,[],[f1055]) ).
fof(f1055,plain,
( $false
| ~ spl58_12
| spl58_14 ),
inference(subsumption_resolution,[],[f1054,f356]) ).
fof(f1054,plain,
( ~ ssList(sK6)
| ~ spl58_12
| spl58_14 ),
inference(subsumption_resolution,[],[f1053,f794]) ).
fof(f1053,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl58_14 ),
inference(resolution,[],[f805,f518]) ).
fof(f805,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl58_14 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f1004,plain,
spl58_15,
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| spl58_15 ),
inference(subsumption_resolution,[],[f1002,f373]) ).
fof(f1002,plain,
( ~ ssList(nil)
| spl58_15 ),
inference(subsumption_resolution,[],[f1001,f355]) ).
fof(f1001,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl58_15 ),
inference(resolution,[],[f809,f508]) ).
fof(f508,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,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/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax16) ).
fof(f809,plain,
( ~ ssList(cons(sK5,nil))
| spl58_15 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f998,plain,
spl58_12,
inference(avatar_contradiction_clause,[],[f997]) ).
fof(f997,plain,
( $false
| spl58_12 ),
inference(subsumption_resolution,[],[f996,f373]) ).
fof(f996,plain,
( ~ ssList(nil)
| spl58_12 ),
inference(subsumption_resolution,[],[f995,f354]) ).
fof(f995,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl58_12 ),
inference(resolution,[],[f795,f508]) ).
fof(f795,plain,
( ~ ssList(cons(sK4,nil))
| spl58_12 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f831,plain,
( ~ spl58_17
| ~ spl58_15
| spl58_18 ),
inference(avatar_split_clause,[],[f830,f821,f807,f817]) ).
fof(f830,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
inference(subsumption_resolution,[],[f770,f358]) ).
fof(f770,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ ssList(sK8)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
inference(superposition,[],[f543,f359]) ).
fof(f359,plain,
sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(cnf_transformation,[],[f235]) ).
fof(f800,plain,
( ~ spl58_12
| spl58_13 ),
inference(avatar_split_clause,[],[f791,f797,f793]) ).
fof(f791,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ ssList(cons(sK4,nil)) ),
inference(subsumption_resolution,[],[f790,f356]) ).
fof(f790,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6) ),
inference(subsumption_resolution,[],[f766,f357]) ).
fof(f766,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ ssList(sK7)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6) ),
inference(superposition,[],[f359,f543]) ).
fof(f646,plain,
( spl58_9
| spl58_8 ),
inference(avatar_split_clause,[],[f645,f634,f638]) ).
fof(f645,plain,
( sK4 = sK5
| lt(sK5,sK4) ),
inference(subsumption_resolution,[],[f644,f355]) ).
fof(f644,plain,
( sK4 = sK5
| lt(sK5,sK4)
| ~ ssItem(sK5) ),
inference(subsumption_resolution,[],[f628,f354]) ).
fof(f628,plain,
( sK4 = sK5
| lt(sK5,sK4)
| ~ ssItem(sK4)
| ~ ssItem(sK5) ),
inference(resolution,[],[f360,f387]) ).
fof(f387,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( leq(X0,X1)
=> ( lt(X0,X1)
| X0 = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181',ax92) ).
fof(f360,plain,
leq(sK5,sK4),
inference(cnf_transformation,[],[f235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC160+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 18:55:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Ln8IpIYSMp/Vampire---4.8_1181
% 0.14/0.37 % (1288)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (1292)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.21/0.43 % (1290)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.21/0.43 % (1293)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43 % (1295)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.21/0.43 % (1291)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.21/0.44 % (1294)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.21/0.44 % (1289)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 4.38/1.06 % (1295)First to succeed.
% 4.38/1.07 % (1295)Refutation found. Thanks to Tanya!
% 4.38/1.07 % SZS status Theorem for Vampire---4
% 4.38/1.07 % SZS output start Proof for Vampire---4
% See solution above
% 4.38/1.07 % (1295)------------------------------
% 4.38/1.07 % (1295)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.38/1.07 % (1295)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.38/1.07 % (1295)Termination reason: Refutation
% 4.38/1.07
% 4.38/1.07 % (1295)Memory used [KB]: 24306
% 4.38/1.07 % (1295)Time elapsed: 0.632 s
% 4.38/1.07 % (1295)------------------------------
% 4.38/1.07 % (1295)------------------------------
% 4.38/1.07 % (1288)Success in time 0.697 s
% 4.38/1.07 % Vampire---4.8 exiting
%------------------------------------------------------------------------------