TSTP Solution File: SWC168+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC168+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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:39:17 EDT 2022
% Result : Theorem 2.26s 0.74s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 27
% Syntax : Number of formulae : 98 ( 16 unt; 0 def)
% Number of atoms : 875 ( 213 equ)
% Maximal formula atoms : 64 ( 8 avg)
% Number of connectives : 1218 ( 441 ~; 381 |; 333 &)
% ( 8 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-2 aty)
% Number of variables : 403 ( 240 !; 163 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1294,plain,
$false,
inference(avatar_sat_refutation,[],[f432,f456,f491,f1293]) ).
fof(f1293,plain,
~ spl20_13,
inference(avatar_contradiction_clause,[],[f1292]) ).
fof(f1292,plain,
( $false
| ~ spl20_13 ),
inference(subsumption_resolution,[],[f1283,f223]) ).
fof(f223,plain,
ssItem(sK11),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ssList(sK5)
& ssList(sK7)
& ( nil != sK7
| nil = sK8 )
& ssList(sK10)
& app(app(sK9,sK7),sK10) = sK8
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != sK10
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| sK7 != app(X9,cons(X8,nil))
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != sK9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| sK7 != app(cons(X12,nil),X13) )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(sK7)
& ssList(sK9)
& sK7 = sK5
& ssItem(sK11)
& ssItem(sK12)
& ssList(sK13)
& ~ neq(sK11,sK12)
& ssList(sK14)
& sK5 = app(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),sK14)
& sK6 = sK8
& ssList(sK8)
& ssList(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f161,f171,f170,f169,f168,f167,f166,f165,f164,f163,f162]) ).
fof(f162,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,X2),X5) = X3
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(X9,cons(X8,nil)) != X2
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != X4
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(X2) )
& ssList(X4) )
& X0 = X2
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(X14,X15)
& ssList(X17)
& app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = X0 ) ) ) )
& X1 = X3
& ssList(X3) ) )
& ssList(X1) ) )
=> ( ssList(sK5)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,X2),X5) = X3
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(X9,cons(X8,nil)) != X2
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != X4
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(X2) )
& ssList(X4) )
& sK5 = X2
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(X14,X15)
& ssList(X17)
& app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = sK5 ) ) ) )
& X1 = X3
& ssList(X3) ) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,X2),X5) = X3
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(X9,cons(X8,nil)) != X2
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != X4
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(X2) )
& ssList(X4) )
& sK5 = X2
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(X14,X15)
& ssList(X17)
& app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = sK5 ) ) ) )
& X1 = X3
& ssList(X3) ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,X2),X5) = X3
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(X9,cons(X8,nil)) != X2
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != X4
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(X2) )
& ssList(X4) )
& sK5 = X2
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(X14,X15)
& ssList(X17)
& app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = sK5 ) ) ) )
& sK6 = X3
& ssList(X3) ) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,X2),X5) = X3
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(X9,cons(X8,nil)) != X2
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != X4
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(X2) )
& ssList(X4) )
& sK5 = X2
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(X14,X15)
& ssList(X17)
& app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = sK5 ) ) ) )
& sK6 = X3
& ssList(X3) ) )
=> ( ssList(sK7)
& ? [X3] :
( ( nil != sK7
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,sK7),X5) = X3
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| sK7 != app(X9,cons(X8,nil))
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != X4
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| sK7 != app(cons(X12,nil),X13) )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(sK7) )
& ssList(X4) )
& sK7 = sK5
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(X14,X15)
& ssList(X17)
& app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = sK5 ) ) ) )
& sK6 = X3
& ssList(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
( ? [X3] :
( ( nil != sK7
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,sK7),X5) = X3
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| sK7 != app(X9,cons(X8,nil))
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != X4
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| sK7 != app(cons(X12,nil),X13) )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(sK7) )
& ssList(X4) )
& sK7 = sK5
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(X14,X15)
& ssList(X17)
& app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = sK5 ) ) ) )
& sK6 = X3
& ssList(X3) )
=> ( ( nil != sK7
| nil = sK8 )
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,sK7),X5) = sK8
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| sK7 != app(X9,cons(X8,nil))
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != X4
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| sK7 != app(cons(X12,nil),X13) )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(sK7) )
& ssList(X4) )
& sK7 = sK5
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(X14,X15)
& ssList(X17)
& app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = sK5 ) ) ) )
& sK6 = sK8
& ssList(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
( ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,sK7),X5) = sK8
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| sK7 != app(X9,cons(X8,nil))
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != X4
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| sK7 != app(cons(X12,nil),X13) )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(sK7) )
& ssList(X4) )
=> ( ? [X5] :
( ssList(X5)
& app(app(sK9,sK7),X5) = sK8
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| sK7 != app(X9,cons(X8,nil))
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != sK9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| sK7 != app(cons(X12,nil),X13) )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(sK7) )
& ssList(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
( ? [X5] :
( ssList(X5)
& app(app(sK9,sK7),X5) = sK8
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| sK7 != app(X9,cons(X8,nil))
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != sK9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| sK7 != app(cons(X12,nil),X13) )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(sK7) )
=> ( ssList(sK10)
& app(app(sK9,sK7),sK10) = sK8
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != sK10
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| sK7 != app(X9,cons(X8,nil))
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != sK9
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| sK7 != app(cons(X12,nil),X13) )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
( ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(X14,X15)
& ssList(X17)
& app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = sK5 ) ) ) )
=> ( ssItem(sK11)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(sK11,X15)
& ssList(X17)
& sK5 = app(app(app(X16,cons(sK11,nil)),cons(X15,nil)),X17) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
( ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(sK11,X15)
& ssList(X17)
& sK5 = app(app(app(X16,cons(sK11,nil)),cons(X15,nil)),X17) ) ) )
=> ( ssItem(sK12)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(sK11,sK12)
& ssList(X17)
& app(app(app(X16,cons(sK11,nil)),cons(sK12,nil)),X17) = sK5 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
( ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(sK11,sK12)
& ssList(X17)
& app(app(app(X16,cons(sK11,nil)),cons(sK12,nil)),X17) = sK5 ) )
=> ( ssList(sK13)
& ? [X17] :
( ~ neq(sK11,sK12)
& ssList(X17)
& sK5 = app(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),X17) ) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
( ? [X17] :
( ~ neq(sK11,sK12)
& ssList(X17)
& sK5 = app(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),X17) )
=> ( ~ neq(sK11,sK12)
& ssList(sK14)
& sK5 = app(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X4] :
( ? [X5] :
( ssList(X5)
& app(app(X4,X2),X5) = X3
& ! [X6] :
( ! [X7] :
( app(cons(X6,nil),X7) != X5
| ~ ssList(X7)
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(X9,cons(X8,nil)) != X2
| ~ lt(X8,X6) ) ) )
| ~ ssItem(X6) )
& ! [X10] :
( ! [X11] :
( app(X11,cons(X10,nil)) != X4
| ~ ssList(X11)
| ! [X12] :
( ! [X13] :
( ~ ssList(X13)
| ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& strictorderedP(X2) )
& ssList(X4) )
& X0 = X2
& ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& ? [X17] :
( ~ neq(X14,X15)
& ssList(X17)
& app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) = X0 ) ) ) )
& X1 = X3
& ssList(X3) ) )
& ssList(X1) ) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( ( nil != X2
| nil = X3 )
& ? [X8] :
( ? [X9] :
( ssList(X9)
& app(app(X8,X2),X9) = X3
& ! [X10] :
( ! [X11] :
( app(cons(X10,nil),X11) != X9
| ~ ssList(X11)
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( ~ ssList(X13)
| app(X13,cons(X12,nil)) != X2
| ~ lt(X12,X10) ) ) )
| ~ ssItem(X10) )
& ! [X14] :
( ! [X15] :
( app(X15,cons(X14,nil)) != X8
| ~ ssList(X15)
| ! [X16] :
( ! [X17] :
( ~ ssList(X17)
| ~ lt(X14,X16)
| app(cons(X16,nil),X17) != X2 )
| ~ ssItem(X16) ) )
| ~ ssItem(X14) )
& strictorderedP(X2) )
& ssList(X8) )
& X0 = X2
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ~ neq(X4,X5)
& ssList(X7)
& app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0 ) ) ) )
& X1 = X3
& ssList(X3) ) )
& ssList(X1) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X0 != X2
| ! [X8] :
( ssList(X8)
=> ! [X9] :
( ? [X14] :
( ? [X15] :
( app(X15,cons(X14,nil)) = X8
& ssList(X15)
& ? [X16] :
( ? [X17] :
( app(cons(X16,nil),X17) = X2
& ssList(X17)
& lt(X14,X16) )
& ssItem(X16) ) )
& ssItem(X14) )
| ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( app(X13,cons(X12,nil)) = X2
& ssList(X13)
& lt(X12,X10) )
& ssItem(X12) )
& ssList(X11)
& app(cons(X10,nil),X11) = X9 )
& ssItem(X10) )
| ~ strictorderedP(X2)
| app(app(X8,X2),X9) != X3
| ~ ssList(X9) ) )
| X1 != X3
| ( nil = X2
& nil != X3 )
| ~ ssList(X3)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| neq(X4,X5)
| ~ ssList(X7) ) ) ) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X2
& nil != X3 )
| X1 != X3
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssList(X16)
=> ! [X17] :
( ~ ssList(X17)
| neq(X14,X15)
| app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) != X0 ) ) ) )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ? [X10] :
( ssItem(X10)
& ? [X11] :
( ? [X12] :
( ? [X13] :
( app(X13,cons(X12,nil)) = X2
& ssList(X13)
& lt(X12,X10) )
& ssItem(X12) )
& app(cons(X10,nil),X11) = X5
& ssList(X11) ) )
| ~ strictorderedP(X2)
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) = X4
& ssList(X7)
& ? [X8] :
( ? [X9] :
( app(cons(X8,nil),X9) = X2
& lt(X6,X8)
& ssList(X9) )
& ssItem(X8) ) )
& ssItem(X6) )
| app(app(X4,X2),X5) != X3
| ~ ssList(X5) ) )
| X0 != X2
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( nil = X2
& nil != X3 )
| X1 != X3
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssList(X16)
=> ! [X17] :
( ~ ssList(X17)
| neq(X14,X15)
| app(app(app(X16,cons(X14,nil)),cons(X15,nil)),X17) != X0 ) ) ) )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ? [X10] :
( ssItem(X10)
& ? [X11] :
( ? [X12] :
( ? [X13] :
( app(X13,cons(X12,nil)) = X2
& ssList(X13)
& lt(X12,X10) )
& ssItem(X12) )
& app(cons(X10,nil),X11) = X5
& ssList(X11) ) )
| ~ strictorderedP(X2)
| ? [X6] :
( ? [X7] :
( app(X7,cons(X6,nil)) = X4
& ssList(X7)
& ? [X8] :
( ? [X9] :
( app(cons(X8,nil),X9) = X2
& lt(X6,X8)
& ssList(X9) )
& ssItem(X8) ) )
& ssItem(X6) )
| app(app(X4,X2),X5) != X3
| ~ ssList(X5) ) )
| X0 != X2
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1283,plain,
( ~ ssItem(sK11)
| ~ spl20_13 ),
inference(resolution,[],[f1278,f248]) ).
fof(f248,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
fof(f1278,plain,
( lt(sK11,sK11)
| ~ spl20_13 ),
inference(subsumption_resolution,[],[f1277,f219]) ).
fof(f219,plain,
ssList(sK14),
inference(cnf_transformation,[],[f172]) ).
fof(f1277,plain,
( lt(sK11,sK11)
| ~ ssList(sK14)
| ~ spl20_13 ),
inference(subsumption_resolution,[],[f1276,f208]) ).
fof(f208,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f1276,plain,
( ~ ssList(nil)
| lt(sK11,sK11)
| ~ ssList(sK14)
| ~ spl20_13 ),
inference(subsumption_resolution,[],[f1275,f221]) ).
fof(f221,plain,
ssList(sK13),
inference(cnf_transformation,[],[f172]) ).
fof(f1275,plain,
( lt(sK11,sK11)
| ~ ssList(sK13)
| ~ ssList(nil)
| ~ ssList(sK14)
| ~ spl20_13 ),
inference(subsumption_resolution,[],[f1274,f223]) ).
fof(f1274,plain,
( ~ ssItem(sK11)
| ~ ssList(nil)
| ~ ssList(sK14)
| ~ ssList(sK13)
| lt(sK11,sK11)
| ~ spl20_13 ),
inference(subsumption_resolution,[],[f1273,f233]) ).
fof(f233,plain,
ssList(sK5),
inference(cnf_transformation,[],[f172]) ).
fof(f1273,plain,
( ~ ssList(sK5)
| lt(sK11,sK11)
| ~ ssList(sK14)
| ~ ssList(sK13)
| ~ ssItem(sK11)
| ~ ssList(nil)
| ~ spl20_13 ),
inference(subsumption_resolution,[],[f1260,f264]) ).
fof(f264,plain,
strictorderedP(sK5),
inference(definition_unfolding,[],[f226,f224]) ).
fof(f224,plain,
sK7 = sK5,
inference(cnf_transformation,[],[f172]) ).
fof(f226,plain,
strictorderedP(sK7),
inference(cnf_transformation,[],[f172]) ).
fof(f1260,plain,
( ~ strictorderedP(sK5)
| ~ ssList(sK14)
| ~ ssList(sK5)
| lt(sK11,sK11)
| ~ ssList(nil)
| ~ ssItem(sK11)
| ~ ssList(sK13)
| ~ spl20_13 ),
inference(duplicate_literal_removal,[],[f1248]) ).
fof(f1248,plain,
( ~ ssItem(sK11)
| ~ ssItem(sK11)
| ~ ssList(sK14)
| ~ ssList(sK13)
| ~ ssList(sK5)
| ~ strictorderedP(sK5)
| ~ ssList(nil)
| lt(sK11,sK11)
| ~ spl20_13 ),
inference(superposition,[],[f273,f676]) ).
fof(f676,plain,
( sK5 = app(app(sK13,cons(sK11,nil)),cons(sK11,sK14))
| ~ spl20_13 ),
inference(subsumption_resolution,[],[f675,f219]) ).
fof(f675,plain,
( ~ ssList(sK14)
| sK5 = app(app(sK13,cons(sK11,nil)),cons(sK11,sK14))
| ~ spl20_13 ),
inference(subsumption_resolution,[],[f624,f223]) ).
fof(f624,plain,
( ~ ssItem(sK11)
| ~ ssList(sK14)
| sK5 = app(app(sK13,cons(sK11,nil)),cons(sK11,sK14))
| ~ spl20_13 ),
inference(superposition,[],[f382,f193]) ).
fof(f193,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),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/benchmark/theBenchmark.p',ax81) ).
fof(f382,plain,
( sK5 = app(app(sK13,cons(sK11,nil)),app(cons(sK11,nil),sK14))
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl20_13
<=> sK5 = app(app(sK13,cons(sK11,nil)),app(cons(sK11,nil),sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f273,plain,
! [X2,X3,X1,X4,X5] :
( ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssList(X4)
| ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| lt(X1,X2)
| ~ ssList(X3)
| ~ ssList(X5)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f257]) ).
fof(f257,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| lt(X1,X2)
| ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X4)
| ~ ssList(X3)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ( ( ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0 )
| ~ ssList(X4) )
| ~ ssList(X3) ) ) )
| ~ strictorderedP(X0) )
& ( strictorderedP(X0)
| ( ssItem(sK15(X0))
& ssItem(sK16(X0))
& ~ lt(sK15(X0),sK16(X0))
& ssList(sK19(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
& ssList(sK18(X0))
& ssList(sK17(X0)) ) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19])],[f175,f180,f179,f178,f177,f176]) ).
fof(f176,plain,
! [X0] :
( ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ? [X9] :
( ? [X10] :
( ~ lt(X6,X7)
& ssList(X10)
& app(app(X8,cons(X6,X9)),cons(X7,X10)) = X0 )
& ssList(X9) )
& ssList(X8) ) ) )
=> ( ssItem(sK15(X0))
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ? [X9] :
( ? [X10] :
( ~ lt(sK15(X0),X7)
& ssList(X10)
& app(app(X8,cons(sK15(X0),X9)),cons(X7,X10)) = X0 )
& ssList(X9) )
& ssList(X8) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0] :
( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ? [X9] :
( ? [X10] :
( ~ lt(sK15(X0),X7)
& ssList(X10)
& app(app(X8,cons(sK15(X0),X9)),cons(X7,X10)) = X0 )
& ssList(X9) )
& ssList(X8) ) )
=> ( ssItem(sK16(X0))
& ? [X8] :
( ? [X9] :
( ? [X10] :
( ~ lt(sK15(X0),sK16(X0))
& ssList(X10)
& app(app(X8,cons(sK15(X0),X9)),cons(sK16(X0),X10)) = X0 )
& ssList(X9) )
& ssList(X8) ) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
! [X0] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( ~ lt(sK15(X0),sK16(X0))
& ssList(X10)
& app(app(X8,cons(sK15(X0),X9)),cons(sK16(X0),X10)) = X0 )
& ssList(X9) )
& ssList(X8) )
=> ( ? [X9] :
( ? [X10] :
( ~ lt(sK15(X0),sK16(X0))
& ssList(X10)
& app(app(sK17(X0),cons(sK15(X0),X9)),cons(sK16(X0),X10)) = X0 )
& ssList(X9) )
& ssList(sK17(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X0] :
( ? [X9] :
( ? [X10] :
( ~ lt(sK15(X0),sK16(X0))
& ssList(X10)
& app(app(sK17(X0),cons(sK15(X0),X9)),cons(sK16(X0),X10)) = X0 )
& ssList(X9) )
=> ( ? [X10] :
( ~ lt(sK15(X0),sK16(X0))
& ssList(X10)
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),X10)) = X0 )
& ssList(sK18(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X0] :
( ? [X10] :
( ~ lt(sK15(X0),sK16(X0))
& ssList(X10)
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),X10)) = X0 )
=> ( ~ lt(sK15(X0),sK16(X0))
& ssList(sK19(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X0] :
( ( ( ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0 )
| ~ ssList(X4) )
| ~ ssList(X3) ) ) )
| ~ strictorderedP(X0) )
& ( strictorderedP(X0)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ? [X9] :
( ? [X10] :
( ~ lt(X6,X7)
& ssList(X10)
& app(app(X8,cons(X6,X9)),cons(X7,X10)) = X0 )
& ssList(X9) )
& ssList(X8) ) ) ) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( ( ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0 )
| ~ ssList(X4) )
| ~ ssList(X3) ) ) )
| ~ strictorderedP(X0) )
& ( strictorderedP(X0)
| ? [X1] :
( ssItem(X1)
& ? [X2] :
( ssItem(X2)
& ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& ssList(X5)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0 )
& ssList(X4) )
& ssList(X3) ) ) ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ( ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssItem(X2)
| ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| ~ ssList(X5)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0 )
| ~ ssList(X4) )
| ~ ssList(X3) ) ) )
<=> strictorderedP(X0) )
| ~ ssList(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,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) )
<=> strictorderedP(X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ssList(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) ) ) ) ) ) )
<=> strictorderedP(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f491,plain,
( spl20_14
| ~ spl20_15 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f490,plain,
( $false
| spl20_14
| ~ spl20_15 ),
inference(subsumption_resolution,[],[f489,f389]) ).
fof(f389,plain,
( ssList(cons(sK11,nil))
| ~ spl20_15 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl20_15
<=> ssList(cons(sK11,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f489,plain,
( ~ ssList(cons(sK11,nil))
| spl20_14 ),
inference(subsumption_resolution,[],[f488,f221]) ).
fof(f488,plain,
( ~ ssList(sK13)
| ~ ssList(cons(sK11,nil))
| spl20_14 ),
inference(resolution,[],[f386,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,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/benchmark/theBenchmark.p',ax26) ).
fof(f386,plain,
( ~ ssList(app(sK13,cons(sK11,nil)))
| spl20_14 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl20_14
<=> ssList(app(sK13,cons(sK11,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
fof(f456,plain,
spl20_15,
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| spl20_15 ),
inference(subsumption_resolution,[],[f454,f208]) ).
fof(f454,plain,
( ~ ssList(nil)
| spl20_15 ),
inference(subsumption_resolution,[],[f453,f223]) ).
fof(f453,plain,
( ~ ssItem(sK11)
| ~ ssList(nil)
| spl20_15 ),
inference(resolution,[],[f390,f236]) ).
fof(f236,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f390,plain,
( ~ ssList(cons(sK11,nil))
| spl20_15 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f432,plain,
( spl20_13
| ~ spl20_14
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f431,f388,f384,f380]) ).
fof(f431,plain,
( ~ ssList(cons(sK11,nil))
| ~ ssList(app(sK13,cons(sK11,nil)))
| sK5 = app(app(sK13,cons(sK11,nil)),app(cons(sK11,nil),sK14)) ),
inference(forward_demodulation,[],[f430,f290]) ).
fof(f290,plain,
sK11 = sK12,
inference(subsumption_resolution,[],[f289,f222]) ).
fof(f222,plain,
ssItem(sK12),
inference(cnf_transformation,[],[f172]) ).
fof(f289,plain,
( ~ ssItem(sK12)
| sK11 = sK12 ),
inference(subsumption_resolution,[],[f287,f223]) ).
fof(f287,plain,
( ~ ssItem(sK11)
| ~ ssItem(sK12)
| sK11 = sK12 ),
inference(resolution,[],[f220,f237]) ).
fof(f237,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ( X0 != X1
<=> neq(X0,X1) ) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f220,plain,
~ neq(sK11,sK12),
inference(cnf_transformation,[],[f172]) ).
fof(f430,plain,
( ~ ssList(cons(sK11,nil))
| ~ ssList(app(sK13,cons(sK11,nil)))
| sK5 = app(app(sK13,cons(sK11,nil)),app(cons(sK12,nil),sK14)) ),
inference(forward_demodulation,[],[f429,f290]) ).
fof(f429,plain,
( ~ ssList(app(sK13,cons(sK11,nil)))
| ~ ssList(cons(sK12,nil))
| sK5 = app(app(sK13,cons(sK11,nil)),app(cons(sK12,nil),sK14)) ),
inference(subsumption_resolution,[],[f348,f219]) ).
fof(f348,plain,
( ~ ssList(sK14)
| ~ ssList(cons(sK12,nil))
| sK5 = app(app(sK13,cons(sK11,nil)),app(cons(sK12,nil),sK14))
| ~ ssList(app(sK13,cons(sK11,nil))) ),
inference(superposition,[],[f234,f218]) ).
fof(f218,plain,
sK5 = app(app(app(sK13,cons(sK11,nil)),cons(sK12,nil)),sK14),
inference(cnf_transformation,[],[f172]) ).
fof(f234,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) ) ) ),
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/benchmark/theBenchmark.p',ax82) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC168+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:40:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (15138)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)
% 0.19/0.51 % (15154)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)
% 0.19/0.51 % (15147)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)
% 0.19/0.52 % (15138)Instruction limit reached!
% 0.19/0.52 % (15138)------------------------------
% 0.19/0.52 % (15138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (15147)Instruction limit reached!
% 0.19/0.52 % (15147)------------------------------
% 0.19/0.52 % (15147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (15140)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)
% 0.19/0.52 % (15147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (15147)Termination reason: Unknown
% 0.19/0.52 % (15147)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (15147)Memory used [KB]: 1663
% 0.19/0.52 % (15147)Time elapsed: 0.004 s
% 0.19/0.52 % (15147)Instructions burned: 4 (million)
% 0.19/0.52 % (15147)------------------------------
% 0.19/0.52 % (15147)------------------------------
% 0.19/0.52 % (15136)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)
% 0.19/0.52 % (15138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (15138)Termination reason: Unknown
% 0.19/0.53 % (15138)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (15138)Memory used [KB]: 1791
% 0.19/0.53 % (15138)Time elapsed: 0.109 s
% 0.19/0.53 % (15138)Instructions burned: 15 (million)
% 0.19/0.53 % (15138)------------------------------
% 0.19/0.53 % (15138)------------------------------
% 0.19/0.53 % (15133)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (15162)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)
% 0.19/0.53 % (15142)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (15156)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)
% 0.19/0.53 % (15134)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.35/0.53 % (15135)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)
% 1.35/0.53 % (15135)Instruction limit reached!
% 1.35/0.53 % (15135)------------------------------
% 1.35/0.53 % (15135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (15135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53 % (15135)Termination reason: Unknown
% 1.35/0.53 % (15135)Termination phase: Preprocessing 2
% 1.35/0.53
% 1.35/0.53 % (15135)Memory used [KB]: 1535
% 1.35/0.53 % (15135)Time elapsed: 0.002 s
% 1.35/0.53 % (15135)Instructions burned: 3 (million)
% 1.35/0.53 % (15135)------------------------------
% 1.35/0.53 % (15135)------------------------------
% 1.35/0.54 % (15139)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.35/0.54 % (15141)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)
% 1.35/0.54 % (15151)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)
% 1.35/0.54 % (15150)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.35/0.54 % (15143)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)
% 1.35/0.55 % (15161)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.35/0.55 % (15158)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.35/0.55 % (15164)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.35/0.55 % (15157)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.53/0.55 % (15148)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)
% 1.53/0.55 % (15137)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)
% 1.53/0.55 % (15148)Instruction limit reached!
% 1.53/0.55 % (15148)------------------------------
% 1.53/0.55 % (15148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.55 % (15148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.55 % (15148)Termination reason: Unknown
% 1.53/0.55 % (15148)Termination phase: Function definition elimination
% 1.53/0.55
% 1.53/0.55 % (15148)Memory used [KB]: 1791
% 1.53/0.55 % (15148)Time elapsed: 0.006 s
% 1.53/0.55 % (15148)Instructions burned: 9 (million)
% 1.53/0.55 % (15148)------------------------------
% 1.53/0.55 % (15148)------------------------------
% 1.53/0.56 % (15134)Instruction limit reached!
% 1.53/0.56 % (15134)------------------------------
% 1.53/0.56 % (15134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56 % (15144)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)
% 1.53/0.56 % (15149)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.53/0.56 % (15144)Instruction limit reached!
% 1.53/0.56 % (15144)------------------------------
% 1.53/0.56 % (15144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56 % (15144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56 % (15144)Termination reason: Unknown
% 1.53/0.56 % (15144)Termination phase: Saturation
% 1.53/0.56
% 1.53/0.56 % (15144)Memory used [KB]: 6140
% 1.53/0.56 % (15144)Time elapsed: 0.005 s
% 1.53/0.56 % (15144)Instructions burned: 7 (million)
% 1.53/0.56 % (15144)------------------------------
% 1.53/0.56 % (15144)------------------------------
% 1.53/0.56 % (15134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56 % (15134)Termination reason: Unknown
% 1.53/0.56 % (15134)Termination phase: Saturation
% 1.53/0.56
% 1.53/0.56 % (15134)Memory used [KB]: 6396
% 1.53/0.56 % (15134)Time elapsed: 0.007 s
% 1.53/0.56 % (15134)Instructions burned: 13 (million)
% 1.53/0.56 % (15134)------------------------------
% 1.53/0.56 % (15134)------------------------------
% 1.53/0.56 % (15151)Instruction limit reached!
% 1.53/0.56 % (15151)------------------------------
% 1.53/0.56 % (15151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56 % (15151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56 % (15151)Termination reason: Unknown
% 1.53/0.56 % (15151)Termination phase: Preprocessing 3
% 1.53/0.56
% 1.53/0.56 % (15151)Memory used [KB]: 1535
% 1.53/0.56 % (15151)Time elapsed: 0.003 s
% 1.53/0.56 % (15151)Instructions burned: 3 (million)
% 1.53/0.56 % (15151)------------------------------
% 1.53/0.56 % (15151)------------------------------
% 1.53/0.56 % (15150)Instruction limit reached!
% 1.53/0.56 % (15150)------------------------------
% 1.53/0.56 % (15150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56 % (15150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56 % (15150)Termination reason: Unknown
% 1.53/0.56 % (15150)Termination phase: Naming
% 1.53/0.56
% 1.53/0.56 % (15150)Memory used [KB]: 1663
% 1.53/0.56 % (15150)Time elapsed: 0.005 s
% 1.53/0.56 % (15150)Instructions burned: 3 (million)
% 1.53/0.56 % (15150)------------------------------
% 1.53/0.56 % (15150)------------------------------
% 1.53/0.56 % (15152)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.53/0.56 % (15146)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.53/0.56 % (15143)Instruction limit reached!
% 1.53/0.56 % (15143)------------------------------
% 1.53/0.56 % (15143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.56 % (15143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.56 % (15143)Termination reason: Unknown
% 1.53/0.56 % (15143)Termination phase: Saturation
% 1.53/0.56
% 1.53/0.56 % (15143)Memory used [KB]: 6396
% 1.53/0.56 % (15143)Time elapsed: 0.148 s
% 1.53/0.56 % (15143)Instructions burned: 14 (million)
% 1.53/0.56 % (15143)------------------------------
% 1.53/0.56 % (15143)------------------------------
% 1.53/0.57 % (15163)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.53/0.57 % (15159)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.53/0.57 % (15162)Instruction limit reached!
% 1.53/0.57 % (15162)------------------------------
% 1.53/0.57 % (15162)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57 % (15162)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.57 % (15162)Termination reason: Unknown
% 1.53/0.57 % (15162)Termination phase: Saturation
% 1.53/0.57
% 1.53/0.57 % (15162)Memory used [KB]: 6652
% 1.53/0.57 % (15162)Time elapsed: 0.106 s
% 1.53/0.57 % (15162)Instructions burned: 26 (million)
% 1.53/0.57 % (15162)------------------------------
% 1.53/0.57 % (15162)------------------------------
% 1.53/0.58 % (15145)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.53/0.58 % (15140)Refutation not found, non-redundant clauses discarded% (15140)------------------------------
% 1.53/0.58 % (15140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58 % (15140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58 % (15140)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.53/0.58
% 1.53/0.58 % (15140)Memory used [KB]: 6652
% 1.53/0.58 % (15140)Time elapsed: 0.184 s
% 1.53/0.58 % (15140)Instructions burned: 36 (million)
% 1.53/0.58 % (15140)------------------------------
% 1.53/0.58 % (15140)------------------------------
% 1.53/0.59 % (15137)Instruction limit reached!
% 1.53/0.59 % (15137)------------------------------
% 1.53/0.59 % (15137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (15137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (15137)Termination reason: Unknown
% 1.53/0.59 % (15137)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (15137)Memory used [KB]: 6268
% 1.53/0.59 % (15137)Time elapsed: 0.183 s
% 1.53/0.59 % (15137)Instructions burned: 14 (million)
% 1.53/0.59 % (15137)------------------------------
% 1.53/0.59 % (15137)------------------------------
% 1.53/0.59 % (15152)Instruction limit reached!
% 1.53/0.59 % (15152)------------------------------
% 1.53/0.59 % (15152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (15152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (15152)Termination reason: Unknown
% 1.53/0.59 % (15152)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (15152)Memory used [KB]: 6396
% 1.53/0.59 % (15152)Time elapsed: 0.167 s
% 1.53/0.59 % (15152)Instructions burned: 12 (million)
% 1.53/0.59 % (15152)------------------------------
% 1.53/0.59 % (15152)------------------------------
% 1.53/0.59 % (15153)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)
% 1.53/0.59 % (15164)Instruction limit reached!
% 1.53/0.59 % (15164)------------------------------
% 1.53/0.59 % (15164)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (15164)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (15164)Termination reason: Unknown
% 1.53/0.59 % (15164)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (15164)Memory used [KB]: 6524
% 1.53/0.59 % (15164)Time elapsed: 0.162 s
% 1.53/0.59 % (15164)Instructions burned: 25 (million)
% 1.53/0.59 % (15164)------------------------------
% 1.53/0.59 % (15164)------------------------------
% 1.53/0.59 % (15139)Instruction limit reached!
% 1.53/0.59 % (15139)------------------------------
% 1.53/0.59 % (15139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (15139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (15139)Termination reason: Unknown
% 1.53/0.59 % (15139)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (15139)Memory used [KB]: 6524
% 1.53/0.59 % (15139)Time elapsed: 0.145 s
% 1.53/0.59 % (15139)Instructions burned: 39 (million)
% 1.53/0.59 % (15139)------------------------------
% 1.53/0.59 % (15139)------------------------------
% 1.53/0.59 % (15142)Instruction limit reached!
% 1.53/0.59 % (15142)------------------------------
% 1.53/0.59 % (15142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (15142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (15142)Termination reason: Unknown
% 1.53/0.59 % (15142)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (15142)Memory used [KB]: 6780
% 1.53/0.59 % (15142)Time elapsed: 0.169 s
% 1.53/0.59 % (15142)Instructions burned: 33 (million)
% 1.53/0.59 % (15142)------------------------------
% 1.53/0.59 % (15142)------------------------------
% 1.53/0.59 % (15163)Instruction limit reached!
% 1.53/0.59 % (15163)------------------------------
% 1.53/0.59 % (15163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (15163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (15163)Termination reason: Unknown
% 1.53/0.59 % (15163)Termination phase: Function definition elimination
% 1.53/0.59
% 1.53/0.59 % (15163)Memory used [KB]: 1791
% 1.53/0.59 % (15163)Time elapsed: 0.006 s
% 1.53/0.59 % (15163)Instructions burned: 8 (million)
% 1.53/0.59 % (15163)------------------------------
% 1.53/0.59 % (15163)------------------------------
% 1.53/0.60 % (15145)Instruction limit reached!
% 1.53/0.60 % (15145)------------------------------
% 1.53/0.60 % (15145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.60 % (15145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.60 % (15145)Termination reason: Unknown
% 1.53/0.60 % (15145)Termination phase: Saturation
% 1.53/0.60
% 1.53/0.60 % (15145)Memory used [KB]: 2046
% 1.53/0.60 % (15145)Time elapsed: 0.205 s
% 1.53/0.60 % (15145)Instructions burned: 17 (million)
% 1.53/0.60 % (15145)------------------------------
% 1.53/0.60 % (15145)------------------------------
% 1.53/0.62 % (15141)Instruction limit reached!
% 1.53/0.62 % (15141)------------------------------
% 1.53/0.62 % (15141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62 % (15141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62 % (15141)Termination reason: Unknown
% 1.53/0.62 % (15141)Termination phase: Saturation
% 1.53/0.62
% 1.53/0.62 % (15141)Memory used [KB]: 7291
% 1.53/0.62 % (15141)Time elapsed: 0.222 s
% 1.53/0.62 % (15141)Instructions burned: 49 (million)
% 1.53/0.62 % (15141)------------------------------
% 1.53/0.62 % (15141)------------------------------
% 1.53/0.62 % (15136)Refutation not found, non-redundant clauses discarded% (15136)------------------------------
% 1.53/0.62 % (15136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62 % (15136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62 % (15136)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.53/0.62
% 1.53/0.62 % (15136)Memory used [KB]: 7036
% 1.53/0.62 % (15136)Time elapsed: 0.219 s
% 1.53/0.62 % (15136)Instructions burned: 47 (million)
% 1.53/0.62 % (15136)------------------------------
% 1.53/0.62 % (15136)------------------------------
% 1.53/0.62 % (15157)Instruction limit reached!
% 1.53/0.62 % (15157)------------------------------
% 1.53/0.62 % (15157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62 % (15157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62 % (15157)Termination reason: Unknown
% 1.53/0.62 % (15157)Termination phase: Saturation
% 1.53/0.62
% 1.53/0.62 % (15157)Memory used [KB]: 2302
% 1.53/0.62 % (15157)Time elapsed: 0.228 s
% 1.53/0.62 % (15157)Instructions burned: 45 (million)
% 1.53/0.62 % (15157)------------------------------
% 1.53/0.62 % (15157)------------------------------
% 1.53/0.63 % (15153)Instruction limit reached!
% 1.53/0.63 % (15153)------------------------------
% 1.53/0.63 % (15153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.63 % (15153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.63 % (15153)Termination reason: Unknown
% 1.53/0.63 % (15153)Termination phase: Saturation
% 1.53/0.63
% 1.53/0.63 % (15153)Memory used [KB]: 6652
% 1.53/0.63 % (15153)Time elapsed: 0.235 s
% 1.53/0.63 % (15153)Instructions burned: 30 (million)
% 1.53/0.63 % (15153)------------------------------
% 1.53/0.63 % (15153)------------------------------
% 2.01/0.64 % (15146)Instruction limit reached!
% 2.01/0.64 % (15146)------------------------------
% 2.01/0.64 % (15146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64 % (15146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64 % (15146)Termination reason: Unknown
% 2.01/0.64 % (15146)Termination phase: Saturation
% 2.01/0.64
% 2.01/0.64 % (15146)Memory used [KB]: 7419
% 2.01/0.64 % (15146)Time elapsed: 0.213 s
% 2.01/0.64 % (15146)Instructions burned: 51 (million)
% 2.01/0.64 % (15146)------------------------------
% 2.01/0.64 % (15146)------------------------------
% 2.01/0.64 % (15206)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.01/0.64 % (15149)Instruction limit reached!
% 2.01/0.64 % (15149)------------------------------
% 2.01/0.64 % (15149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64 % (15149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64 % (15149)Termination reason: Unknown
% 2.01/0.64 % (15149)Termination phase: Saturation
% 2.01/0.64
% 2.01/0.64 % (15149)Memory used [KB]: 7036
% 2.01/0.64 % (15149)Time elapsed: 0.226 s
% 2.01/0.64 % (15149)Instructions burned: 50 (million)
% 2.01/0.64 % (15149)------------------------------
% 2.01/0.64 % (15149)------------------------------
% 2.01/0.65 % (15158)Instruction limit reached!
% 2.01/0.65 % (15158)------------------------------
% 2.01/0.65 % (15158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.65 % (15158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.65 % (15158)Termination reason: Unknown
% 2.01/0.65 % (15158)Termination phase: Saturation
% 2.01/0.65
% 2.01/0.65 % (15158)Memory used [KB]: 6908
% 2.01/0.65 % (15158)Time elapsed: 0.218 s
% 2.01/0.65 % (15158)Instructions burned: 51 (million)
% 2.01/0.65 % (15158)------------------------------
% 2.01/0.65 % (15158)------------------------------
% 2.01/0.65 % (15205)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.01/0.66 % (15154)Instruction limit reached!
% 2.01/0.66 % (15154)------------------------------
% 2.01/0.66 % (15154)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.66 % (15154)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.66 % (15154)Termination reason: Unknown
% 2.01/0.66 % (15154)Termination phase: Saturation
% 2.01/0.66
% 2.01/0.66 % (15154)Memory used [KB]: 8187
% 2.01/0.66 % (15154)Time elapsed: 0.245 s
% 2.01/0.66 % (15154)Instructions burned: 99 (million)
% 2.01/0.66 % (15154)------------------------------
% 2.01/0.66 % (15154)------------------------------
% 2.01/0.66 % (15204)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.01/0.67 % (15205)Instruction limit reached!
% 2.01/0.67 % (15205)------------------------------
% 2.01/0.67 % (15205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.67 % (15205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.67 % (15205)Termination reason: Unknown
% 2.01/0.67 % (15205)Termination phase: Saturation
% 2.01/0.67
% 2.01/0.67 % (15205)Memory used [KB]: 10746
% 2.01/0.67 % (15205)Time elapsed: 0.118 s
% 2.01/0.67 % (15205)Instructions burned: 8 (million)
% 2.01/0.67 % (15205)------------------------------
% 2.01/0.67 % (15205)------------------------------
% 2.18/0.68 % (15156)Instruction limit reached!
% 2.18/0.68 % (15156)------------------------------
% 2.18/0.68 % (15156)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.68 % (15156)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.68 % (15156)Termination reason: Unknown
% 2.18/0.68 % (15156)Termination phase: Saturation
% 2.18/0.68
% 2.18/0.68 % (15156)Memory used [KB]: 8315
% 2.18/0.68 % (15156)Time elapsed: 0.208 s
% 2.18/0.68 % (15156)Instructions burned: 82 (million)
% 2.18/0.68 % (15156)------------------------------
% 2.18/0.68 % (15156)------------------------------
% 2.18/0.68 % (15207)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.18/0.69 % (15208)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 2.18/0.70 % (15210)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.18/0.71 % (15212)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.18/0.71 % (15209)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.18/0.71 % (15213)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.18/0.72 % (15216)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.18/0.72 % (15204)First to succeed.
% 2.18/0.72 % (15214)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.18/0.72 % (15161)Instruction limit reached!
% 2.18/0.72 % (15161)------------------------------
% 2.18/0.72 % (15161)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.72 % (15161)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.72 % (15161)Termination reason: Unknown
% 2.18/0.72 % (15161)Termination phase: Saturation
% 2.18/0.72
% 2.18/0.72 % (15161)Memory used [KB]: 7419
% 2.18/0.72 % (15161)Time elapsed: 0.305 s
% 2.18/0.72 % (15161)Instructions burned: 99 (million)
% 2.18/0.72 % (15161)------------------------------
% 2.18/0.72 % (15161)------------------------------
% 2.18/0.72 % (15211)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.18/0.72 % (15219)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.18/0.73 % (15220)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.18/0.73 % (15215)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.18/0.74 % (15159)Instruction limit reached!
% 2.18/0.74 % (15159)------------------------------
% 2.18/0.74 % (15159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.74 % (15159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.74 % (15159)Termination reason: Unknown
% 2.18/0.74 % (15159)Termination phase: Saturation
% 2.18/0.74
% 2.18/0.74 % (15159)Memory used [KB]: 7419
% 2.18/0.74 % (15159)Time elapsed: 0.323 s
% 2.18/0.74 % (15159)Instructions burned: 95 (million)
% 2.18/0.74 % (15159)------------------------------
% 2.18/0.74 % (15159)------------------------------
% 2.26/0.74 % (15204)Refutation found. Thanks to Tanya!
% 2.26/0.74 % SZS status Theorem for theBenchmark
% 2.26/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.74 % (15204)------------------------------
% 2.26/0.74 % (15204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.74 % (15204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.74 % (15204)Termination reason: Refutation
% 2.26/0.74
% 2.26/0.74 % (15204)Memory used [KB]: 6780
% 2.26/0.74 % (15204)Time elapsed: 0.165 s
% 2.26/0.74 % (15204)Instructions burned: 40 (million)
% 2.26/0.74 % (15204)------------------------------
% 2.26/0.74 % (15204)------------------------------
% 2.26/0.74 % (15121)Success in time 0.393 s
%------------------------------------------------------------------------------