TSTP Solution File: SWC343-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC343-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:40:35 EDT 2022
% Result : Unsatisfiable 0.22s 0.55s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 48
% Syntax : Number of formulae : 153 ( 8 unt; 0 def)
% Number of atoms : 559 ( 147 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 779 ( 373 ~; 382 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 25 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f713,plain,
$false,
inference(avatar_sat_refutation,[],[f283,f288,f292,f296,f300,f301,f305,f306,f315,f316,f317,f323,f327,f328,f338,f339,f496,f498,f522,f532,f536,f543,f605,f607,f611,f626,f634,f652,f684,f695,f712]) ).
fof(f712,plain,
( ~ spl0_23
| ~ spl0_11
| spl0_50 ),
inference(avatar_split_clause,[],[f711,f692,f298,f444]) ).
fof(f444,plain,
( spl0_23
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f298,plain,
( spl0_11
<=> ! [X6] :
( ssList(sk9(X6))
| sk4 != app(sk3,X6)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f692,plain,
( spl0_50
<=> ssList(sk9(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f711,plain,
( ~ ssList(sk5)
| ~ spl0_11
| spl0_50 ),
inference(trivial_inequality_removal,[],[f710]) ).
fof(f710,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ spl0_11
| spl0_50 ),
inference(forward_demodulation,[],[f709,f193]) ).
fof(f193,axiom,
sk4 = app(sk3,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f709,plain,
( sk4 != app(sk3,sk5)
| ~ ssList(sk5)
| ~ spl0_11
| spl0_50 ),
inference(resolution,[],[f694,f299]) ).
fof(f299,plain,
( ! [X6] :
( ssList(sk9(X6))
| ~ ssList(X6)
| sk4 != app(sk3,X6) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f694,plain,
( ~ ssList(sk9(sk5))
| spl0_50 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f695,plain,
( ~ spl0_23
| ~ spl0_50
| ~ spl0_16
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f690,f647,f325,f692,f444]) ).
fof(f325,plain,
( spl0_16
<=> ! [X6] :
( ~ ssList(X6)
| sk4 != app(sk3,X6)
| sk3 = app(sk9(X6),cons(sk8(X6),nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f647,plain,
( spl0_45
<=> ! [X0] :
( sk3 != app(X0,cons(sk8(sk5),nil))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f690,plain,
( ~ ssList(sk9(sk5))
| ~ ssList(sk5)
| ~ spl0_16
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f689]) ).
fof(f689,plain,
( ~ ssList(sk9(sk5))
| sk4 != sk4
| ~ ssList(sk5)
| ~ spl0_16
| ~ spl0_45 ),
inference(forward_demodulation,[],[f688,f193]) ).
fof(f688,plain,
( ~ ssList(sk5)
| ~ ssList(sk9(sk5))
| sk4 != app(sk3,sk5)
| ~ spl0_16
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f687]) ).
fof(f687,plain,
( sk4 != app(sk3,sk5)
| ~ ssList(sk9(sk5))
| sk3 != sk3
| ~ ssList(sk5)
| ~ spl0_16
| ~ spl0_45 ),
inference(superposition,[],[f648,f326]) ).
fof(f326,plain,
( ! [X6] :
( sk3 = app(sk9(X6),cons(sk8(X6),nil))
| sk4 != app(sk3,X6)
| ~ ssList(X6) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f648,plain,
( ! [X0] :
( sk3 != app(X0,cons(sk8(sk5),nil))
| ~ ssList(X0) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f684,plain,
( ~ spl0_42
| ~ spl0_43
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f669,f650,f631,f622]) ).
fof(f622,plain,
( spl0_42
<=> ssList(tl(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f631,plain,
( spl0_43
<=> sk5 = app(cons(hd(sk5),nil),tl(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f650,plain,
( spl0_46
<=> ! [X1] :
( ~ ssList(X1)
| sk5 != app(cons(hd(sk5),nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f669,plain,
( ~ ssList(tl(sk5))
| ~ spl0_43
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f667]) ).
fof(f667,plain,
( sk5 != sk5
| ~ ssList(tl(sk5))
| ~ spl0_43
| ~ spl0_46 ),
inference(superposition,[],[f651,f633]) ).
fof(f633,plain,
( sk5 = app(cons(hd(sk5),nil),tl(sk5))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f651,plain,
( ! [X1] :
( sk5 != app(cons(hd(sk5),nil),X1)
| ~ ssList(X1) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f652,plain,
( spl0_45
| spl0_46
| ~ spl0_37
| ~ spl0_38
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f643,f602,f578,f574,f650,f647]) ).
fof(f574,plain,
( spl0_37
<=> ssItem(hd(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f578,plain,
( spl0_38
<=> ssItem(sk8(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f602,plain,
( spl0_41
<=> lt(sk8(sk5),hd(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f643,plain,
( ! [X0,X1] :
( ~ ssItem(sk8(sk5))
| ~ ssItem(hd(sk5))
| ~ ssList(X1)
| sk3 != app(X0,cons(sk8(sk5),nil))
| sk5 != app(cons(hd(sk5),nil),X1)
| ~ ssList(X0) )
| ~ spl0_41 ),
inference(resolution,[],[f604,f195]) ).
fof(f195,axiom,
! [X8,X6,X9,X7] :
( ~ lt(X8,X6)
| ~ ssList(X9)
| sk5 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| sk3 != app(X9,cons(X8,nil))
| ~ ssItem(X8)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f604,plain,
( lt(sk8(sk5),hd(sk5))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f634,plain,
( spl0_43
| ~ spl0_23
| ~ spl0_12
| ~ spl0_32
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f629,f529,f519,f303,f444,f631]) ).
fof(f303,plain,
( spl0_12
<=> ! [X6] :
( sk4 != app(sk3,X6)
| app(cons(sk6(X6),nil),sk7(X6)) = X6
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f519,plain,
( spl0_32
<=> hd(sk5) = sk6(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f529,plain,
( spl0_34
<=> tl(sk5) = sk7(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f629,plain,
( ~ ssList(sk5)
| sk5 = app(cons(hd(sk5),nil),tl(sk5))
| ~ spl0_12
| ~ spl0_32
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f628]) ).
fof(f628,plain,
( sk4 != sk4
| sk5 = app(cons(hd(sk5),nil),tl(sk5))
| ~ ssList(sk5)
| ~ spl0_12
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_demodulation,[],[f627,f193]) ).
fof(f627,plain,
( sk5 = app(cons(hd(sk5),nil),tl(sk5))
| ~ ssList(sk5)
| sk4 != app(sk3,sk5)
| ~ spl0_12
| ~ spl0_32
| ~ spl0_34 ),
inference(forward_demodulation,[],[f617,f521]) ).
fof(f521,plain,
( hd(sk5) = sk6(sk5)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f617,plain,
( sk5 = app(cons(sk6(sk5),nil),tl(sk5))
| ~ ssList(sk5)
| sk4 != app(sk3,sk5)
| ~ spl0_12
| ~ spl0_34 ),
inference(superposition,[],[f304,f531]) ).
fof(f531,plain,
( tl(sk5) = sk7(sk5)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f304,plain,
( ! [X6] :
( app(cons(sk6(X6),nil),sk7(X6)) = X6
| sk4 != app(sk3,X6)
| ~ ssList(X6) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f626,plain,
( spl0_42
| ~ spl0_29
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f612,f529,f506,f622]) ).
fof(f506,plain,
( spl0_29
<=> ssList(sk7(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f612,plain,
( ssList(tl(sk5))
| ~ spl0_29
| ~ spl0_34 ),
inference(backward_demodulation,[],[f507,f531]) ).
fof(f507,plain,
( ssList(sk7(sk5))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f611,plain,
( ~ spl0_23
| ~ spl0_9
| spl0_38 ),
inference(avatar_split_clause,[],[f610,f578,f290,f444]) ).
fof(f290,plain,
( spl0_9
<=> ! [X6] :
( ~ ssList(X6)
| ssItem(sk8(X6))
| sk4 != app(sk3,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f610,plain,
( ~ ssList(sk5)
| ~ spl0_9
| spl0_38 ),
inference(trivial_inequality_removal,[],[f609]) ).
fof(f609,plain,
( ~ ssList(sk5)
| sk4 != sk4
| ~ spl0_9
| spl0_38 ),
inference(forward_demodulation,[],[f608,f193]) ).
fof(f608,plain,
( sk4 != app(sk3,sk5)
| ~ ssList(sk5)
| ~ spl0_9
| spl0_38 ),
inference(resolution,[],[f580,f291]) ).
fof(f291,plain,
( ! [X6] :
( ssItem(sk8(X6))
| ~ ssList(X6)
| sk4 != app(sk3,X6) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f580,plain,
( ~ ssItem(sk8(sk5))
| spl0_38 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f607,plain,
( spl0_37
| ~ spl0_30
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f548,f519,f510,f574]) ).
fof(f510,plain,
( spl0_30
<=> ssItem(sk6(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f548,plain,
( ssItem(hd(sk5))
| ~ spl0_30
| ~ spl0_32 ),
inference(backward_demodulation,[],[f511,f521]) ).
fof(f511,plain,
( ssItem(sk6(sk5))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f605,plain,
( ~ spl0_23
| spl0_41
| ~ spl0_7
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f600,f519,f281,f602,f444]) ).
fof(f281,plain,
( spl0_7
<=> ! [X6] :
( sk4 != app(sk3,X6)
| lt(sk8(X6),sk6(X6))
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f600,plain,
( lt(sk8(sk5),hd(sk5))
| ~ ssList(sk5)
| ~ spl0_7
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f599]) ).
fof(f599,plain,
( ~ ssList(sk5)
| sk4 != sk4
| lt(sk8(sk5),hd(sk5))
| ~ spl0_7
| ~ spl0_32 ),
inference(forward_demodulation,[],[f550,f193]) ).
fof(f550,plain,
( sk4 != app(sk3,sk5)
| lt(sk8(sk5),hd(sk5))
| ~ ssList(sk5)
| ~ spl0_7
| ~ spl0_32 ),
inference(superposition,[],[f282,f521]) ).
fof(f282,plain,
( ! [X6] :
( lt(sk8(X6),sk6(X6))
| ~ ssList(X6)
| sk4 != app(sk3,X6) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f543,plain,
( ~ spl0_23
| ~ spl0_14
| spl0_30 ),
inference(avatar_split_clause,[],[f542,f510,f313,f444]) ).
fof(f313,plain,
( spl0_14
<=> ! [X6] :
( ssItem(sk6(X6))
| sk4 != app(sk3,X6)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f542,plain,
( ~ ssList(sk5)
| ~ spl0_14
| spl0_30 ),
inference(trivial_inequality_removal,[],[f541]) ).
fof(f541,plain,
( sk4 != sk4
| ~ ssList(sk5)
| ~ spl0_14
| spl0_30 ),
inference(forward_demodulation,[],[f540,f193]) ).
fof(f540,plain,
( ~ ssList(sk5)
| sk4 != app(sk3,sk5)
| ~ spl0_14
| spl0_30 ),
inference(resolution,[],[f512,f314]) ).
fof(f314,plain,
( ! [X6] :
( ssItem(sk6(X6))
| ~ ssList(X6)
| sk4 != app(sk3,X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f512,plain,
( ~ ssItem(sk6(sk5))
| spl0_30 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f536,plain,
( ~ spl0_23
| ~ spl0_10
| spl0_29 ),
inference(avatar_split_clause,[],[f535,f506,f294,f444]) ).
fof(f294,plain,
( spl0_10
<=> ! [X6] :
( ~ ssList(X6)
| sk4 != app(sk3,X6)
| ssList(sk7(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f535,plain,
( ~ ssList(sk5)
| ~ spl0_10
| spl0_29 ),
inference(trivial_inequality_removal,[],[f534]) ).
fof(f534,plain,
( ~ ssList(sk5)
| sk4 != sk4
| ~ spl0_10
| spl0_29 ),
inference(forward_demodulation,[],[f533,f193]) ).
fof(f533,plain,
( ~ ssList(sk5)
| sk4 != app(sk3,sk5)
| ~ spl0_10
| spl0_29 ),
inference(resolution,[],[f508,f295]) ).
fof(f295,plain,
( ! [X6] :
( ssList(sk7(X6))
| ~ ssList(X6)
| sk4 != app(sk3,X6) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f508,plain,
( ~ ssList(sk7(sk5))
| spl0_29 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f532,plain,
( spl0_34
| ~ spl0_30
| ~ spl0_29
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f500,f493,f506,f510,f529]) ).
fof(f493,plain,
( spl0_28
<=> sk5 = cons(sk6(sk5),sk7(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f500,plain,
( ~ ssList(sk7(sk5))
| ~ ssItem(sk6(sk5))
| tl(sk5) = sk7(sk5)
| ~ spl0_28 ),
inference(superposition,[],[f96,f495]) ).
fof(f495,plain,
( sk5 = cons(sk6(sk5),sk7(sk5))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f522,plain,
( ~ spl0_29
| ~ spl0_30
| spl0_32
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f499,f493,f519,f510,f506]) ).
fof(f499,plain,
( hd(sk5) = sk6(sk5)
| ~ ssItem(sk6(sk5))
| ~ ssList(sk7(sk5))
| ~ spl0_28 ),
inference(superposition,[],[f97,f495]) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f498,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| spl0_23 ),
inference(resolution,[],[f446,f192]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f446,plain,
( ~ ssList(sk5)
| spl0_23 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f496,plain,
( spl0_28
| ~ spl0_23
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f491,f313,f303,f294,f444,f493]) ).
fof(f491,plain,
( ~ ssList(sk5)
| sk5 = cons(sk6(sk5),sk7(sk5))
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f489]) ).
fof(f489,plain,
( sk5 = cons(sk6(sk5),sk7(sk5))
| sk4 != sk4
| ~ ssList(sk5)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f488,f193]) ).
fof(f488,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| ~ ssList(X0)
| cons(sk6(X0),sk7(X0)) = X0 )
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f487]) ).
fof(f487,plain,
( ! [X0] :
( sk4 != app(sk3,X0)
| sk4 != app(sk3,X0)
| ~ ssList(X0)
| ~ ssList(X0)
| cons(sk6(X0),sk7(X0)) = X0 )
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(resolution,[],[f486,f295]) ).
fof(f486,plain,
( ! [X0] :
( ~ ssList(sk7(X0))
| sk4 != app(sk3,X0)
| ~ ssList(X0)
| cons(sk6(X0),sk7(X0)) = X0 )
| ~ spl0_12
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f485]) ).
fof(f485,plain,
( ! [X0] :
( cons(sk6(X0),sk7(X0)) = X0
| sk4 != app(sk3,X0)
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(sk7(X0))
| sk4 != app(sk3,X0) )
| ~ spl0_12
| ~ spl0_14 ),
inference(resolution,[],[f477,f314]) ).
fof(f477,plain,
( ! [X0] :
( ~ ssItem(sk6(X0))
| ~ ssList(sk7(X0))
| cons(sk6(X0),sk7(X0)) = X0
| sk4 != app(sk3,X0)
| ~ ssList(X0) )
| ~ spl0_12 ),
inference(superposition,[],[f120,f304]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f339,plain,
spl0_6,
inference(avatar_split_clause,[],[f194,f277]) ).
fof(f277,plain,
( spl0_6
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f194,axiom,
strictorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f338,plain,
( spl0_8
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f196,f273,f285]) ).
fof(f285,plain,
( spl0_8
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f273,plain,
( spl0_5
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f196,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f328,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f226,f325,f285,f277]) ).
fof(f226,plain,
! [X6] :
( sk4 != app(sk3,X6)
| sk3 = app(sk9(X6),cons(sk8(X6),nil))
| ~ ssList(X6)
| nil != sk4
| ~ strictorderedP(sk3) ),
inference(definition_unfolding,[],[f209,f191,f190,f191,f190,f191]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f209,axiom,
! [X6] :
( sk1 = app(sk9(X6),cons(sk8(X6),nil))
| sk2 != app(sk1,X6)
| nil != sk2
| ~ ssList(X6)
| ~ strictorderedP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_24) ).
fof(f327,plain,
( spl0_5
| ~ spl0_6
| spl0_16 ),
inference(avatar_split_clause,[],[f214,f325,f277,f273]) ).
fof(f214,plain,
! [X6] :
( ~ ssList(X6)
| sk3 = app(sk9(X6),cons(sk8(X6),nil))
| ~ strictorderedP(sk3)
| sk4 != app(sk3,X6)
| nil = sk3 ),
inference(definition_unfolding,[],[f203,f191,f190,f191,f191,f191]) ).
fof(f203,axiom,
! [X6] :
( sk1 = app(sk9(X6),cons(sk8(X6),nil))
| sk2 != app(sk1,X6)
| nil = sk1
| ~ strictorderedP(sk1)
| ~ ssList(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f323,plain,
( spl0_5
| ~ spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f211,f298,f277,f273]) ).
fof(f211,plain,
! [X6] :
( sk4 != app(sk3,X6)
| ~ strictorderedP(sk3)
| nil = sk3
| ssList(sk9(X6))
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f202,f190,f191,f191,f191]) ).
fof(f202,axiom,
! [X6] :
( ssList(sk9(X6))
| sk2 != app(sk1,X6)
| ~ strictorderedP(sk1)
| ~ ssList(X6)
| nil = sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f317,plain,
( ~ spl0_6
| spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f219,f273,f313,f277]) ).
fof(f219,plain,
! [X6] :
( nil = sk3
| ssItem(sk6(X6))
| ~ ssList(X6)
| ~ strictorderedP(sk3)
| sk4 != app(sk3,X6) ),
inference(definition_unfolding,[],[f197,f191,f190,f191,f191]) ).
fof(f197,axiom,
! [X6] :
( ~ strictorderedP(sk1)
| sk2 != app(sk1,X6)
| nil = sk1
| ssItem(sk6(X6))
| ~ ssList(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f316,plain,
( spl0_5
| ~ spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f218,f303,f277,f273]) ).
fof(f218,plain,
! [X6] :
( ~ ssList(X6)
| app(cons(sk6(X6),nil),sk7(X6)) = X6
| ~ strictorderedP(sk3)
| nil = sk3
| sk4 != app(sk3,X6) ),
inference(definition_unfolding,[],[f200,f191,f190,f191,f191]) ).
fof(f200,axiom,
! [X6] :
( ~ strictorderedP(sk1)
| sk2 != app(sk1,X6)
| ~ ssList(X6)
| app(cons(sk6(X6),nil),sk7(X6)) = X6
| nil = sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f315,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f222,f313,f285,f277]) ).
fof(f222,plain,
! [X6] :
( ssItem(sk6(X6))
| ~ ssList(X6)
| nil != sk4
| ~ strictorderedP(sk3)
| sk4 != app(sk3,X6) ),
inference(definition_unfolding,[],[f198,f191,f190,f191,f190]) ).
fof(f198,axiom,
! [X6] :
( ~ strictorderedP(sk1)
| sk2 != app(sk1,X6)
| nil != sk2
| ~ ssList(X6)
| ssItem(sk6(X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f306,plain,
( spl0_5
| ~ spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f216,f290,f277,f273]) ).
fof(f216,plain,
! [X6] :
( ~ ssList(X6)
| ~ strictorderedP(sk3)
| ssItem(sk8(X6))
| sk4 != app(sk3,X6)
| nil = sk3 ),
inference(definition_unfolding,[],[f201,f191,f191,f190,f191]) ).
fof(f201,axiom,
! [X6] :
( nil = sk1
| ~ strictorderedP(sk1)
| sk2 != app(sk1,X6)
| ssItem(sk8(X6))
| ~ ssList(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f305,plain,
( ~ spl0_6
| spl0_12
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f224,f285,f303,f277]) ).
fof(f224,plain,
! [X6] :
( nil != sk4
| sk4 != app(sk3,X6)
| ~ ssList(X6)
| app(cons(sk6(X6),nil),sk7(X6)) = X6
| ~ strictorderedP(sk3) ),
inference(definition_unfolding,[],[f206,f191,f190,f191,f190]) ).
fof(f206,axiom,
! [X6] :
( ~ ssList(X6)
| ~ strictorderedP(sk1)
| app(cons(sk6(X6),nil),sk7(X6)) = X6
| sk2 != app(sk1,X6)
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).
fof(f301,plain,
( spl0_5
| ~ spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f221,f294,f277,f273]) ).
fof(f221,plain,
! [X6] :
( ~ ssList(X6)
| sk4 != app(sk3,X6)
| ~ strictorderedP(sk3)
| ssList(sk7(X6))
| nil = sk3 ),
inference(definition_unfolding,[],[f199,f191,f191,f190,f191]) ).
fof(f199,axiom,
! [X6] :
( ssList(sk7(X6))
| ~ strictorderedP(sk1)
| nil = sk1
| ~ ssList(X6)
| sk2 != app(sk1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f300,plain,
( ~ spl0_8
| ~ spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f212,f298,f277,f285]) ).
fof(f212,plain,
! [X6] :
( ssList(sk9(X6))
| ~ ssList(X6)
| sk4 != app(sk3,X6)
| ~ strictorderedP(sk3)
| nil != sk4 ),
inference(definition_unfolding,[],[f208,f190,f191,f190,f191]) ).
fof(f208,axiom,
! [X6] :
( sk2 != app(sk1,X6)
| ~ ssList(X6)
| nil != sk2
| ~ strictorderedP(sk1)
| ssList(sk9(X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_23) ).
fof(f296,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f225,f294,f285,f277]) ).
fof(f225,plain,
! [X6] :
( ~ ssList(X6)
| nil != sk4
| ssList(sk7(X6))
| ~ strictorderedP(sk3)
| sk4 != app(sk3,X6) ),
inference(definition_unfolding,[],[f205,f190,f190,f191,f191]) ).
fof(f205,axiom,
! [X6] :
( nil != sk2
| ~ ssList(X6)
| sk2 != app(sk1,X6)
| ssList(sk7(X6))
| ~ strictorderedP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f292,plain,
( ~ spl0_8
| ~ spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f215,f290,f277,f285]) ).
fof(f215,plain,
! [X6] :
( ~ ssList(X6)
| sk4 != app(sk3,X6)
| ~ strictorderedP(sk3)
| ssItem(sk8(X6))
| nil != sk4 ),
inference(definition_unfolding,[],[f207,f190,f191,f190,f191]) ).
fof(f207,axiom,
! [X6] :
( sk2 != app(sk1,X6)
| ssItem(sk8(X6))
| nil != sk2
| ~ ssList(X6)
| ~ strictorderedP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_22) ).
fof(f288,plain,
( ~ spl0_8
| spl0_7
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f213,f277,f281,f285]) ).
fof(f213,plain,
! [X6] :
( ~ strictorderedP(sk3)
| lt(sk8(X6),sk6(X6))
| sk4 != app(sk3,X6)
| nil != sk4
| ~ ssList(X6) ),
inference(definition_unfolding,[],[f210,f190,f191,f191,f190]) ).
fof(f210,axiom,
! [X6] :
( sk2 != app(sk1,X6)
| ~ ssList(X6)
| lt(sk8(X6),sk6(X6))
| ~ strictorderedP(sk1)
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_25) ).
fof(f283,plain,
( spl0_5
| ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f223,f281,f277,f273]) ).
fof(f223,plain,
! [X6] :
( sk4 != app(sk3,X6)
| ~ strictorderedP(sk3)
| ~ ssList(X6)
| lt(sk8(X6),sk6(X6))
| nil = sk3 ),
inference(definition_unfolding,[],[f204,f191,f190,f191,f191]) ).
fof(f204,axiom,
! [X6] :
( ~ strictorderedP(sk1)
| sk2 != app(sk1,X6)
| ~ ssList(X6)
| lt(sk8(X6),sk6(X6))
| nil = sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC343-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 30 18:34:01 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.51 % (17550)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.22/0.53 % (17567)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.22/0.53 % (17555)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.53 % (17559)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.22/0.53 % (17558)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.53 % (17558)Instruction limit reached!
% 0.22/0.53 % (17558)------------------------------
% 0.22/0.53 % (17558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (17551)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.22/0.54 % (17571)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.22/0.54 % (17550)First to succeed.
% 0.22/0.54 % (17566)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.22/0.54 % (17558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (17558)Termination reason: Unknown
% 0.22/0.54 % (17558)Termination phase: Property scanning
% 0.22/0.54
% 0.22/0.54 % (17558)Memory used [KB]: 1535
% 0.22/0.54 % (17558)Time elapsed: 0.003 s
% 0.22/0.54 % (17558)Instructions burned: 3 (million)
% 0.22/0.54 % (17558)------------------------------
% 0.22/0.54 % (17558)------------------------------
% 0.22/0.54 % (17547)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.54 % (17549)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.22/0.54 % (17555)Instruction limit reached!
% 0.22/0.54 % (17555)------------------------------
% 0.22/0.54 % (17555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (17555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (17555)Termination reason: Unknown
% 0.22/0.54 % (17555)Termination phase: Property scanning
% 0.22/0.54
% 0.22/0.54 % (17555)Memory used [KB]: 1535
% 0.22/0.54 % (17555)Time elapsed: 0.006 s
% 0.22/0.54 % (17555)Instructions burned: 7 (million)
% 0.22/0.54 % (17555)------------------------------
% 0.22/0.54 % (17555)------------------------------
% 0.22/0.55 % (17545)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.22/0.55 % (17553)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.55 % (17547)Instruction limit reached!
% 0.22/0.55 % (17547)------------------------------
% 0.22/0.55 % (17547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (17547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (17547)Termination reason: Unknown
% 0.22/0.55 % (17547)Termination phase: Property scanning
% 0.22/0.55
% 0.22/0.55 % (17547)Memory used [KB]: 1535
% 0.22/0.55 % (17547)Time elapsed: 0.005 s
% 0.22/0.55 % (17547)Instructions burned: 4 (million)
% 0.22/0.55 % (17547)------------------------------
% 0.22/0.55 % (17547)------------------------------
% 0.22/0.55 % (17552)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.55 % (17550)Refutation found. Thanks to Tanya!
% 0.22/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.55 % (17550)------------------------------
% 0.22/0.55 % (17550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.55 % (17550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.55 % (17550)Termination reason: Refutation
% 0.22/0.55
% 0.22/0.55 % (17550)Memory used [KB]: 6396
% 0.22/0.55 % (17550)Time elapsed: 0.102 s
% 0.22/0.55 % (17550)Instructions burned: 19 (million)
% 0.22/0.55 % (17550)------------------------------
% 0.22/0.55 % (17550)------------------------------
% 0.22/0.55 % (17544)Success in time 0.184 s
%------------------------------------------------------------------------------