TSTP Solution File: SWC412-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC412-1 : 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_sat --cores 0 -t %d %s
% Computer : n019.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 18:43:42 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 32
% Syntax : Number of formulae : 102 ( 12 unt; 0 def)
% Number of atoms : 339 ( 110 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 431 ( 194 ~; 237 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f435,plain,
$false,
inference(subsumption_resolution,[],[f434,f428]) ).
fof(f428,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f427,f250]) ).
fof(f250,plain,
( ssItem(sk5)
| sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(definition_unfolding,[],[f214,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f214,axiom,
( sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_29) ).
fof(f427,plain,
( ssItem(sk5)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(subsumption_resolution,[],[f426,f382]) ).
fof(f382,plain,
ssList(sk13),
inference(subsumption_resolution,[],[f381,f235]) ).
fof(f235,axiom,
( ssList(sk13)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_50) ).
fof(f381,plain,
( ssList(sk13)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f380,f212]) ).
fof(f212,axiom,
( ssItem(sk5)
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_27) ).
fof(f380,plain,
( ssList(sk13)
| ~ ssItem(sk5)
| ~ ssList(sk7) ),
inference(subsumption_resolution,[],[f351,f229]) ).
fof(f229,axiom,
( ssItem(sk6)
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_44) ).
fof(f351,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk5)
| ssList(sk13)
| ~ ssList(sk7) ),
inference(trivial_inequality_removal,[],[f346]) ).
fof(f346,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk5)
| sk4 != sk4
| ~ ssList(sk7)
| ssList(sk13) ),
inference(superposition,[],[f199,f334]) ).
fof(f334,plain,
sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7),
inference(subsumption_resolution,[],[f333,f255]) ).
fof(f255,plain,
( sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f241,f190,f191]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f241,axiom,
( sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_56) ).
fof(f333,plain,
( sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(subsumption_resolution,[],[f332,f251]) ).
fof(f251,plain,
( ssItem(sk11)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f233,f190]) ).
fof(f233,axiom,
( ssItem(sk11)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_48) ).
fof(f332,plain,
( sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| ~ ssItem(sk11)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(subsumption_resolution,[],[f331,f252]) ).
fof(f252,plain,
( ssItem(sk12)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f238,f190]) ).
fof(f238,axiom,
( ssItem(sk12)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_53) ).
fof(f331,plain,
( ~ ssItem(sk12)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| ~ ssItem(sk11)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(subsumption_resolution,[],[f330,f259]) ).
fof(f259,plain,
( ssList(sk13)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f239,f190]) ).
fof(f239,axiom,
( sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| ssList(sk13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_54) ).
fof(f330,plain,
( sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| ~ ssItem(sk11)
| ~ ssList(sk13)
| ~ ssItem(sk12)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(trivial_inequality_removal,[],[f329]) ).
fof(f329,plain,
( ~ ssList(sk13)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| ~ ssItem(sk12)
| sk4 != sk4
| ~ ssItem(sk11)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(duplicate_literal_removal,[],[f328]) ).
fof(f328,plain,
( sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| ~ ssItem(sk12)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| sk4 != sk4
| ~ ssList(sk13)
| ~ ssItem(sk11) ),
inference(superposition,[],[f263,f254]) ).
fof(f254,plain,
( sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f240,f190,f190]) ).
fof(f240,axiom,
( sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_55) ).
fof(f263,plain,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssItem(X6)
| sk3 = app(app(cons(X7,nil),X8),cons(X6,nil)) ),
inference(definition_unfolding,[],[f205,f190]) ).
fof(f205,axiom,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssItem(X7)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| sk3 = app(app(cons(X7,nil),X8),cons(X6,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f199,axiom,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X6)
| ssList(sk13)
| ~ ssList(X8)
| ~ ssItem(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f426,plain,
( ssItem(sk5)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssList(sk13) ),
inference(subsumption_resolution,[],[f425,f376]) ).
fof(f376,plain,
ssItem(sk12),
inference(subsumption_resolution,[],[f375,f228]) ).
fof(f228,axiom,
( ssItem(sk12)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_43) ).
fof(f375,plain,
( ssItem(sk12)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f374,f234]) ).
fof(f234,axiom,
( ssItem(sk12)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_49) ).
fof(f374,plain,
( ~ ssList(sk7)
| ssItem(sk12)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f353,f211]) ).
fof(f211,axiom,
( ssItem(sk12)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_26) ).
fof(f353,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| ssItem(sk12)
| ~ ssList(sk7) ),
inference(trivial_inequality_removal,[],[f345]) ).
fof(f345,plain,
( sk4 != sk4
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| ssItem(sk12)
| ~ ssList(sk7) ),
inference(superposition,[],[f198,f334]) ).
fof(f198,axiom,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X7)
| ssItem(sk12)
| ~ ssList(X8)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f425,plain,
( ~ ssItem(sk12)
| ssItem(sk5)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssList(sk13) ),
inference(subsumption_resolution,[],[f409,f364]) ).
fof(f364,plain,
ssItem(sk11),
inference(subsumption_resolution,[],[f363,f227]) ).
fof(f227,axiom,
( ssItem(sk11)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_42) ).
fof(f363,plain,
( ssItem(sk11)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f362,f210]) ).
fof(f210,axiom,
( ssItem(sk11)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).
fof(f362,plain,
( ~ ssItem(sk5)
| ssItem(sk11)
| ~ ssItem(sk6) ),
inference(subsumption_resolution,[],[f357,f232]) ).
fof(f232,axiom,
( ssItem(sk11)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_47) ).
fof(f357,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| ssItem(sk11) ),
inference(trivial_inequality_removal,[],[f344]) ).
fof(f344,plain,
( ~ ssItem(sk6)
| sk4 != sk4
| ~ ssList(sk7)
| ssItem(sk11)
| ~ ssItem(sk5) ),
inference(superposition,[],[f197,f334]) ).
fof(f197,axiom,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f409,plain,
( ssItem(sk5)
| ~ ssItem(sk11)
| ~ ssList(sk13)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssItem(sk12) ),
inference(trivial_inequality_removal,[],[f408]) ).
fof(f408,plain,
( ~ ssItem(sk11)
| sk4 != sk4
| ssItem(sk5)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssList(sk13)
| ~ ssItem(sk12) ),
inference(superposition,[],[f202,f370]) ).
fof(f370,plain,
sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)),
inference(subsumption_resolution,[],[f369,f262]) ).
fof(f262,plain,
( ssList(sk7)
| sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
inference(definition_unfolding,[],[f236,f190]) ).
fof(f236,axiom,
( sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_51) ).
fof(f369,plain,
( ~ ssList(sk7)
| sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
inference(subsumption_resolution,[],[f368,f256]) ).
fof(f256,plain,
( ssItem(sk6)
| sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
inference(definition_unfolding,[],[f230,f190]) ).
fof(f230,axiom,
( ssItem(sk6)
| sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_45) ).
fof(f368,plain,
( ~ ssItem(sk6)
| ~ ssList(sk7)
| sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
inference(subsumption_resolution,[],[f355,f253]) ).
fof(f253,plain,
( ssItem(sk5)
| sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
inference(definition_unfolding,[],[f213,f190]) ).
fof(f213,axiom,
( ssItem(sk5)
| sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_28) ).
fof(f355,plain,
( sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6) ),
inference(trivial_inequality_removal,[],[f349]) ).
fof(f349,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk5)
| sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| sk4 != sk4
| ~ ssList(sk7) ),
inference(superposition,[],[f261,f334]) ).
fof(f261,plain,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X6)
| sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| ~ ssList(X8)
| ~ ssItem(X7) ),
inference(definition_unfolding,[],[f200,f190]) ).
fof(f200,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f202,axiom,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
| ~ ssItem(X7)
| ssItem(sk5)
| ~ ssItem(X6)
| ~ ssList(X8)
| sk3 = app(app(cons(X7,nil),X8),cons(X6,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f434,plain,
~ ssItem(sk5),
inference(subsumption_resolution,[],[f433,f416]) ).
fof(f416,plain,
ssItem(sk6),
inference(subsumption_resolution,[],[f415,f248]) ).
fof(f248,plain,
( ssItem(sk6)
| sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(definition_unfolding,[],[f231,f191]) ).
fof(f231,axiom,
( ssItem(sk6)
| sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_46) ).
fof(f415,plain,
( sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ssItem(sk6) ),
inference(subsumption_resolution,[],[f414,f382]) ).
fof(f414,plain,
( sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssList(sk13)
| ssItem(sk6) ),
inference(subsumption_resolution,[],[f413,f364]) ).
fof(f413,plain,
( sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssItem(sk11)
| ssItem(sk6)
| ~ ssList(sk13) ),
inference(subsumption_resolution,[],[f412,f376]) ).
fof(f412,plain,
( ssItem(sk6)
| ~ ssItem(sk12)
| ~ ssList(sk13)
| ~ ssItem(sk11)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(trivial_inequality_removal,[],[f407]) ).
fof(f407,plain,
( ssItem(sk6)
| ~ ssItem(sk12)
| ~ ssList(sk13)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| sk4 != sk4
| ~ ssItem(sk11) ),
inference(superposition,[],[f203,f370]) ).
fof(f203,axiom,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
| ~ ssList(X8)
| sk3 = app(app(cons(X7,nil),X8),cons(X6,nil))
| ssItem(sk6)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f433,plain,
( ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(subsumption_resolution,[],[f432,f420]) ).
fof(f420,plain,
ssList(sk7),
inference(subsumption_resolution,[],[f419,f257]) ).
fof(f257,plain,
( ssList(sk7)
| sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(definition_unfolding,[],[f237,f191]) ).
fof(f237,axiom,
( sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_52) ).
fof(f419,plain,
( ssList(sk7)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(subsumption_resolution,[],[f418,f364]) ).
fof(f418,plain,
( ~ ssItem(sk11)
| ssList(sk7)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(subsumption_resolution,[],[f417,f382]) ).
fof(f417,plain,
( sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ssList(sk7)
| ~ ssList(sk13)
| ~ ssItem(sk11) ),
inference(subsumption_resolution,[],[f411,f376]) ).
fof(f411,plain,
( sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ssList(sk7)
| ~ ssItem(sk12)
| ~ ssList(sk13)
| ~ ssItem(sk11) ),
inference(trivial_inequality_removal,[],[f406]) ).
fof(f406,plain,
( ~ ssItem(sk12)
| ssList(sk7)
| ~ ssList(sk13)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssItem(sk11)
| sk4 != sk4 ),
inference(superposition,[],[f204,f370]) ).
fof(f204,axiom,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
| sk3 = app(app(cons(X7,nil),X8),cons(X6,nil))
| ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f432,plain,
( ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(trivial_inequality_removal,[],[f429]) ).
fof(f429,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssItem(sk6)
| sk4 != sk4 ),
inference(superposition,[],[f424,f334]) ).
fof(f424,plain,
! [X2,X0,X1] :
( sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f423,f245]) ).
fof(f245,plain,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X7)
| ~ ssList(X8)
| sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f201,f191]) ).
fof(f201,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssItem(X7)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f423,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
inference(subsumption_resolution,[],[f422,f376]) ).
fof(f422,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| ~ ssItem(sk12)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f421,f364]) ).
fof(f421,plain,
! [X2,X0,X1] :
( sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssItem(X1)
| ~ ssItem(sk11)
| ~ ssItem(sk12)
| ~ ssItem(X0)
| sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f410,f382]) ).
fof(f410,plain,
! [X2,X0,X1] :
( sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssList(sk13)
| ~ ssItem(X1)
| ~ ssItem(sk12)
| ~ ssItem(sk11) ),
inference(trivial_inequality_removal,[],[f405]) ).
fof(f405,plain,
! [X2,X0,X1] :
( sk4 != sk4
| sk4 != app(app(cons(X0,nil),cons(X1,nil)),X2)
| sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssItem(X1)
| ~ ssItem(sk12)
| ~ ssItem(X0)
| ~ ssList(sk13)
| ~ ssList(X2)
| ~ ssItem(sk11) ),
inference(superposition,[],[f192,f370]) ).
fof(f192,axiom,
! [X10,X11,X8,X6,X9,X7] :
( sk4 != app(app(cons(X9,nil),X11),cons(X10,nil))
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssList(X11)
| sk3 = app(app(cons(X10,nil),X11),cons(X9,nil))
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssItem(X9)
| ~ ssItem(X10)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC412-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 18:57:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.51 % (3575)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.51 % (3567)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (3558)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (3565)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (3581)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (3558)Instruction limit reached!
% 0.19/0.53 % (3558)------------------------------
% 0.19/0.53 % (3558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (3558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (3558)Termination reason: Unknown
% 0.19/0.53 % (3558)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (3558)Memory used [KB]: 5756
% 0.19/0.53 % (3558)Time elapsed: 0.009 s
% 0.19/0.53 % (3558)Instructions burned: 8 (million)
% 0.19/0.53 % (3558)------------------------------
% 0.19/0.53 % (3558)------------------------------
% 0.19/0.53 % (3552)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (3554)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (3556)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (3570)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (3553)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.54 % (3572)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 % (3573)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (3557)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (3555)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (3551)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.54 % (3569)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (3559)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (3574)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.54 % (3566)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (3559)Instruction limit reached!
% 0.19/0.54 % (3559)------------------------------
% 0.19/0.54 % (3559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (3559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (3559)Termination reason: Unknown
% 0.19/0.54 % (3559)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (3559)Memory used [KB]: 1151
% 0.19/0.54 % (3559)Time elapsed: 0.003 s
% 0.19/0.54 % (3559)Instructions burned: 3 (million)
% 0.19/0.54 % (3559)------------------------------
% 0.19/0.54 % (3559)------------------------------
% 0.19/0.54 % (3580)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55 % (3563)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (3571)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (3576)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.55 % (3561)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (3564)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (3578)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55 % (3568)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 % (3577)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56 % (3579)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.56 % (3562)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (3574)First to succeed.
% 0.19/0.58 % (3574)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (3574)------------------------------
% 0.19/0.58 % (3574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (3574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (3574)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (3574)Memory used [KB]: 1279
% 0.19/0.58 % (3574)Time elapsed: 0.157 s
% 0.19/0.58 % (3574)Instructions burned: 15 (million)
% 0.19/0.58 % (3574)------------------------------
% 0.19/0.58 % (3574)------------------------------
% 0.19/0.58 % (3543)Success in time 0.222 s
%------------------------------------------------------------------------------