TSTP Solution File: SWC176+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC176+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 : n023.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 20:57:12 EDT 2023
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 29
% Syntax : Number of formulae : 104 ( 18 unt; 0 def)
% Number of atoms : 855 ( 205 equ)
% Maximal formula atoms : 64 ( 8 avg)
% Number of connectives : 1179 ( 428 ~; 375 |; 311 &)
% ( 10 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 385 (; 232 !; 153 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8200,plain,
$false,
inference(avatar_sat_refutation,[],[f614,f885,f1061,f1082,f7880,f8197]) ).
fof(f8197,plain,
~ spl57_334,
inference(avatar_contradiction_clause,[],[f8196]) ).
fof(f8196,plain,
( $false
| ~ spl57_334 ),
inference(subsumption_resolution,[],[f8183,f354]) ).
fof(f354,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
( ( nil != sK2
| nil = sK3 )
& ~ neq(sK4,sK5)
& sK0 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),sK7)
& ssList(sK7)
& ssList(sK6)
& ssItem(sK5)
& ssItem(sK4)
& ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != sK9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != sK2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != sK8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(sK2)
& sK3 = app(app(sK8,sK2),sK9)
& ssList(sK9)
& ssList(sK8)
& 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])],[f99,f232,f231,f230,f229,f228,f227,f226,f225,f224,f223]) ).
fof(f223,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != X2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != X8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(X2)
& app(app(X8,X2),X9) = X3
& ssList(X9) )
& ssList(X8) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != X2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != X8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(X2)
& app(app(X8,X2),X9) = X3
& ssList(X9) )
& ssList(X8) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != X2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != X8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(X2)
& app(app(X8,X2),X9) = X3
& ssList(X9) )
& ssList(X8) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != X2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != X8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(X2)
& app(app(X8,X2),X9) = X3
& ssList(X9) )
& ssList(X8) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != X2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != X8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(X2)
& app(app(X8,X2),X9) = X3
& ssList(X9) )
& ssList(X8) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( nil != sK2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != sK2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != X8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(sK2)
& app(app(X8,sK2),X9) = X3
& ssList(X9) )
& ssList(X8) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( ? [X3] :
( ( nil != sK2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != sK2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != X8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(sK2)
& app(app(X8,sK2),X9) = X3
& ssList(X9) )
& ssList(X8) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ( nil != sK2
| nil = sK3 )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != sK2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != X8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(sK2)
& app(app(X8,sK2),X9) = sK3
& ssList(X9) )
& ssList(X8) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f227,plain,
( ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ~ neq(sK4,X5)
& ? [X6] :
( ? [X7] :
( sK0 = app(app(app(X6,cons(sK4,nil)),cons(X5,nil)),X7)
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
( ? [X5] :
( ~ neq(sK4,X5)
& ? [X6] :
( ? [X7] :
( sK0 = app(app(app(X6,cons(sK4,nil)),cons(X5,nil)),X7)
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
=> ( ~ neq(sK4,sK5)
& ? [X6] :
( ? [X7] :
( sK0 = app(app(app(X6,cons(sK4,nil)),cons(sK5,nil)),X7)
& ssList(X7) )
& ssList(X6) )
& ssItem(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
( ? [X6] :
( ? [X7] :
( sK0 = app(app(app(X6,cons(sK4,nil)),cons(sK5,nil)),X7)
& ssList(X7) )
& ssList(X6) )
=> ( ? [X7] :
( sK0 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X7)
& ssList(X7) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
( ? [X7] :
( sK0 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),X7)
& ssList(X7) )
=> ( sK0 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),sK7)
& ssList(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
( ? [X8] :
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != sK2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != X8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(sK2)
& app(app(X8,sK2),X9) = sK3
& ssList(X9) )
& ssList(X8) )
=> ( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != sK2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != sK8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(sK2)
& sK3 = app(app(sK8,sK2),X9)
& ssList(X9) )
& ssList(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != sK2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != sK8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(sK2)
& sK3 = app(app(sK8,sK2),X9)
& ssList(X9) )
=> ( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != sK2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != sK9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != sK2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != sK8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(sK2)
& sK3 = app(app(sK8,sK2),sK9)
& ssList(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ~ neq(X4,X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ? [X8] :
( ? [X9] :
( ! [X10] :
( ! [X11] :
( ! [X12] :
( ! [X13] :
( ~ lt(X12,X10)
| app(X13,cons(X12,nil)) != X2
| ~ ssList(X13) )
| ~ ssItem(X12) )
| app(cons(X10,nil),X11) != X9
| ~ ssList(X11) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( ! [X16] :
( ! [X17] :
( ~ lt(X14,X16)
| app(cons(X16,nil),X17) != X2
| ~ ssList(X17) )
| ~ ssItem(X16) )
| app(X15,cons(X14,nil)) != X8
| ~ ssList(X15) )
| ~ ssItem(X14) )
& strictorderedP(X2)
& app(app(X8,X2),X9) = X3
& ssList(X9) )
& ssList(X8) )
& 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] :
( ( nil = X2
& nil != X3 )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( neq(X4,X5)
| ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) )
| ~ ssItem(X5) ) )
| ! [X8] :
( ssList(X8)
=> ! [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X12,X10)
& app(X13,cons(X12,nil)) = X2
& ssList(X13) )
& ssItem(X12) )
& app(cons(X10,nil),X11) = X9
& ssList(X11) )
& ssItem(X10) )
| ? [X14] :
( ? [X15] :
( ? [X16] :
( ? [X17] :
( lt(X14,X16)
& app(cons(X16,nil),X17) = X2
& ssList(X17) )
& ssItem(X16) )
& app(X15,cons(X14,nil)) = X8
& ssList(X15) )
& ssItem(X14) )
| ~ strictorderedP(X2)
| app(app(X8,X2),X9) != X3
| ~ ssList(X9) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X2
& nil != X3 )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( neq(X14,X15)
| ! [X16] :
( ssList(X16)
=> ! [X17] :
( ssList(X17)
=> app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) != X0 ) )
| ~ ssItem(X15) ) )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X12,X10)
& app(X13,cons(X12,nil)) = X2
& ssList(X13) )
& ssItem(X12) )
& app(cons(X10,nil),X11) = X5
& ssList(X11) )
& ssItem(X10) )
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( lt(X6,X8)
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& app(X7,cons(X6,nil)) = X4
& ssList(X7) )
& ssItem(X6) )
| ~ strictorderedP(X2)
| app(app(X4,X2),X5) != X3
| ~ ssList(X5) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X2
& nil != X3 )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( neq(X14,X15)
| ! [X16] :
( ssList(X16)
=> ! [X17] :
( ssList(X17)
=> app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) != X0 ) )
| ~ ssItem(X15) ) )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X12,X10)
& app(X13,cons(X12,nil)) = X2
& ssList(X13) )
& ssItem(X12) )
& app(cons(X10,nil),X11) = X5
& ssList(X11) )
& ssItem(X10) )
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ? [X9] :
( lt(X6,X8)
& app(cons(X8,nil),X9) = X2
& ssList(X9) )
& ssItem(X8) )
& app(X7,cons(X6,nil)) = X4
& ssList(X7) )
& ssItem(X6) )
| ~ strictorderedP(X2)
| app(app(X4,X2),X5) != X3
| ~ ssList(X5) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cU6M92VT3c/Vampire---4.8_19847',co1) ).
fof(f8183,plain,
( ~ ssItem(sK4)
| ~ spl57_334 ),
inference(resolution,[],[f7859,f371]) ).
fof(f371,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.cU6M92VT3c/Vampire---4.8_19847',ax90) ).
fof(f7859,plain,
( lt(sK4,sK4)
| ~ spl57_334 ),
inference(avatar_component_clause,[],[f7857]) ).
fof(f7857,plain,
( spl57_334
<=> lt(sK4,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_334])]) ).
fof(f7880,plain,
( spl57_334
| ~ spl57_28 ),
inference(avatar_split_clause,[],[f7879,f871,f7857]) ).
fof(f871,plain,
( spl57_28
<=> sK0 = app(app(sK6,cons(sK4,nil)),app(cons(sK4,nil),sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_28])]) ).
fof(f7879,plain,
( lt(sK4,sK4)
| ~ spl57_28 ),
inference(subsumption_resolution,[],[f7786,f595]) ).
fof(f595,plain,
ssList(sK0),
inference(forward_demodulation,[],[f344,f347]) ).
fof(f347,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f233]) ).
fof(f344,plain,
ssList(sK2),
inference(cnf_transformation,[],[f233]) ).
fof(f7786,plain,
( lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl57_28 ),
inference(subsumption_resolution,[],[f7785,f354]) ).
fof(f7785,plain,
( ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl57_28 ),
inference(subsumption_resolution,[],[f7784,f356]) ).
fof(f356,plain,
ssList(sK6),
inference(cnf_transformation,[],[f233]) ).
fof(f7784,plain,
( ~ ssList(sK6)
| ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl57_28 ),
inference(subsumption_resolution,[],[f7783,f369]) ).
fof(f369,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.cU6M92VT3c/Vampire---4.8_19847',ax17) ).
fof(f7783,plain,
( ~ ssList(nil)
| ~ ssList(sK6)
| ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl57_28 ),
inference(subsumption_resolution,[],[f7782,f357]) ).
fof(f357,plain,
ssList(sK7),
inference(cnf_transformation,[],[f233]) ).
fof(f7782,plain,
( ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(sK6)
| ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl57_28 ),
inference(subsumption_resolution,[],[f7766,f596]) ).
fof(f596,plain,
strictorderedP(sK0),
inference(superposition,[],[f351,f347]) ).
fof(f351,plain,
strictorderedP(sK2),
inference(cnf_transformation,[],[f233]) ).
fof(f7766,plain,
( ~ strictorderedP(sK0)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(sK6)
| ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl57_28 ),
inference(duplicate_literal_removal,[],[f7729]) ).
fof(f7729,plain,
( ~ strictorderedP(sK0)
| ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(sK6)
| ~ ssItem(sK4)
| ~ ssItem(sK4)
| lt(sK4,sK4)
| ~ ssList(sK0)
| ~ spl57_28 ),
inference(superposition,[],[f567,f3080]) ).
fof(f3080,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),cons(sK4,sK7))
| ~ spl57_28 ),
inference(subsumption_resolution,[],[f3079,f357]) ).
fof(f3079,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),cons(sK4,sK7))
| ~ ssList(sK7)
| ~ spl57_28 ),
inference(subsumption_resolution,[],[f3055,f354]) ).
fof(f3055,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),cons(sK4,sK7))
| ~ ssItem(sK4)
| ~ ssList(sK7)
| ~ spl57_28 ),
inference(superposition,[],[f873,f509]) ).
fof(f509,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,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/sandbox2/tmp/tmp.cU6M92VT3c/Vampire---4.8_19847',ax81) ).
fof(f873,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(cons(sK4,nil),sK7))
| ~ spl57_28 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f567,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,[],[f490]) ).
fof(f490,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,[],[f314]) ).
fof(f314,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),sK48(X0))) = X0
& ssList(sK48(X0))
& ssList(sK47(X0))
& ssList(sK46(X0))
& ssItem(sK45(X0))
& ssItem(sK44(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,[sK44,sK45,sK46,sK47,sK48])],[f308,f313,f312,f311,f310,f309]) ).
fof(f309,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(sK44(X0),X2)
& app(app(X3,cons(sK44(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),X2)
& app(app(X3,cons(sK44(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK45(X0))
& app(app(X3,cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK45(X0))
& app(app(X3,cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),sK48(X0))) = X0
& ssList(sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f308,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,[],[f307]) ).
fof(f307,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,[],[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(flattening,[],[f173]) ).
fof(f173,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/sandbox2/tmp/tmp.cU6M92VT3c/Vampire---4.8_19847',ax12) ).
fof(f1082,plain,
( ~ spl57_26
| spl57_27 ),
inference(avatar_contradiction_clause,[],[f1081]) ).
fof(f1081,plain,
( $false
| ~ spl57_26
| spl57_27 ),
inference(subsumption_resolution,[],[f1080,f356]) ).
fof(f1080,plain,
( ~ ssList(sK6)
| ~ spl57_26
| spl57_27 ),
inference(subsumption_resolution,[],[f1079,f860]) ).
fof(f860,plain,
( ssList(cons(sK4,nil))
| ~ spl57_26 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f859,plain,
( spl57_26
<=> ssList(cons(sK4,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_26])]) ).
fof(f1079,plain,
( ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl57_27 ),
inference(resolution,[],[f869,f514]) ).
fof(f514,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,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/sandbox2/tmp/tmp.cU6M92VT3c/Vampire---4.8_19847',ax26) ).
fof(f869,plain,
( ~ ssList(app(sK6,cons(sK4,nil)))
| spl57_27 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f867,plain,
( spl57_27
<=> ssList(app(sK6,cons(sK4,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_27])]) ).
fof(f1061,plain,
spl57_26,
inference(avatar_contradiction_clause,[],[f1060]) ).
fof(f1060,plain,
( $false
| spl57_26 ),
inference(subsumption_resolution,[],[f1059,f369]) ).
fof(f1059,plain,
( ~ ssList(nil)
| spl57_26 ),
inference(subsumption_resolution,[],[f1058,f354]) ).
fof(f1058,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl57_26 ),
inference(resolution,[],[f861,f504]) ).
fof(f504,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,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/sandbox2/tmp/tmp.cU6M92VT3c/Vampire---4.8_19847',ax16) ).
fof(f861,plain,
( ~ ssList(cons(sK4,nil))
| spl57_26 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f885,plain,
( ~ spl57_27
| spl57_28
| ~ spl57_26
| ~ spl57_5 ),
inference(avatar_split_clause,[],[f884,f608,f859,f871,f867]) ).
fof(f608,plain,
( spl57_5
<=> sK4 = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_5])]) ).
fof(f884,plain,
( ~ ssList(cons(sK4,nil))
| sK0 = app(app(sK6,cons(sK4,nil)),app(cons(sK4,nil),sK7))
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl57_5 ),
inference(forward_demodulation,[],[f883,f610]) ).
fof(f610,plain,
( sK4 = sK5
| ~ spl57_5 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f883,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(cons(sK4,nil),sK7))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil)))
| ~ spl57_5 ),
inference(forward_demodulation,[],[f882,f610]) ).
fof(f882,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(subsumption_resolution,[],[f830,f357]) ).
fof(f830,plain,
( sK0 = app(app(sK6,cons(sK4,nil)),app(cons(sK5,nil),sK7))
| ~ ssList(sK7)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,nil))) ),
inference(superposition,[],[f539,f358]) ).
fof(f358,plain,
sK0 = app(app(app(sK6,cons(sK4,nil)),cons(sK5,nil)),sK7),
inference(cnf_transformation,[],[f233]) ).
fof(f539,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,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/sandbox2/tmp/tmp.cU6M92VT3c/Vampire---4.8_19847',ax82) ).
fof(f614,plain,
spl57_5,
inference(avatar_split_clause,[],[f613,f608]) ).
fof(f613,plain,
sK4 = sK5,
inference(subsumption_resolution,[],[f612,f354]) ).
fof(f612,plain,
( sK4 = sK5
| ~ ssItem(sK4) ),
inference(subsumption_resolution,[],[f598,f355]) ).
fof(f355,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f233]) ).
fof(f598,plain,
( sK4 = sK5
| ~ ssItem(sK5)
| ~ ssItem(sK4) ),
inference(resolution,[],[f359,f387]) ).
fof(f387,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.cU6M92VT3c/Vampire---4.8_19847',ax1) ).
fof(f359,plain,
~ neq(sK4,sK5),
inference(cnf_transformation,[],[f233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC176+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n023.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 : Mon Aug 28 15:05:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.cU6M92VT3c/Vampire---4.8_19847
% 0.14/0.36 % (19955)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.42 % (19959)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.14/0.42 % (19961)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)
% 0.14/0.42 % (19960)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)
% 0.14/0.42 % (19958)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)
% 0.14/0.42 % (19957)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.14/0.42 % (19956)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)
% 0.14/0.42 % (19962)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.20/0.54 % (19962)First to succeed.
% 0.20/0.55 % (19962)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for Vampire---4
% 0.20/0.55 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.55 % (19962)------------------------------
% 0.20/0.55 % (19962)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.55 % (19962)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.55 % (19962)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (19962)Memory used [KB]: 9722
% 0.20/0.55 % (19962)Time elapsed: 0.129 s
% 0.20/0.55 % (19962)------------------------------
% 0.20/0.55 % (19962)------------------------------
% 0.20/0.55 % (19955)Success in time 0.191 s
% 0.20/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------