TSTP Solution File: SWC188-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC188-1 : 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 : 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 18:39:26 EDT 2022
% Result : Unsatisfiable 1.99s 0.63s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 32
% Syntax : Number of formulae : 133 ( 14 unt; 0 def)
% Number of atoms : 590 ( 43 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 894 ( 437 ~; 446 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1165,plain,
$false,
inference(avatar_sat_refutation,[],[f232,f245,f405,f415,f438,f442,f446,f451,f605,f756,f973,f1164]) ).
fof(f1164,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1163,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1162,f193]) ).
fof(f193,axiom,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f1162,plain,
( ~ ssItem(sk6)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(resolution,[],[f1044,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f1044,plain,
( memberP(nil,sk6)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(backward_demodulation,[],[f663,f231]) ).
fof(f231,plain,
( nil = sk3
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f229,plain,
( spl0_4
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f663,plain,
( memberP(sk3,sk6)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f662,f387]) ).
fof(f387,plain,
( ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl0_10
<=> ssList(app(sk7,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f662,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| memberP(sk3,sk6)
| ~ spl0_7
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f661,f193]) ).
fof(f661,plain,
( memberP(sk3,sk6)
| ~ ssItem(sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_7
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f660,f374]) ).
fof(f374,plain,
( ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f373,plain,
( spl0_7
<=> ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f660,plain,
( memberP(sk3,sk6)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssItem(sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f659,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f659,plain,
( ~ ssList(nil)
| memberP(sk3,sk6)
| ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssItem(sk6)
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f653]) ).
fof(f653,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| ~ ssItem(sk6)
| ~ ssItem(sk6)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| memberP(sk3,sk6)
| ~ ssList(nil)
| ~ spl0_15 ),
inference(resolution,[],[f414,f210]) ).
fof(f210,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| app(X0,cons(X1,X2)) != X3
| ~ ssItem(X1)
| memberP(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f414,plain,
( ! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| ~ ssItem(X0)
| memberP(sk3,X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f413,plain,
( spl0_15
<=> ! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| ~ ssItem(X0)
| memberP(sk3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f973,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_21
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f972]) ).
fof(f972,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_21
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f971,f197]) ).
fof(f197,axiom,
sk5 != sk6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f971,plain,
( sk5 = sk6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_21
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f970,f192]) ).
fof(f192,axiom,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f970,plain,
( ~ ssItem(sk5)
| sk5 = sk6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_21
| ~ spl0_29 ),
inference(resolution,[],[f967,f672]) ).
fof(f672,plain,
( ! [X3] :
( ~ memberP(sk3,X3)
| sk6 = X3
| ~ ssItem(X3) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(backward_demodulation,[],[f261,f667]) ).
fof(f667,plain,
( sk6 = sk9
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f666,f193]) ).
fof(f666,plain,
( ~ ssItem(sk6)
| sk6 = sk9
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(resolution,[],[f663,f261]) ).
fof(f261,plain,
( ! [X3] :
( ~ memberP(sk3,X3)
| sk9 = X3
| ~ ssItem(X3) )
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f260,f71]) ).
fof(f260,plain,
( ! [X3] :
( memberP(nil,X3)
| sk9 = X3
| ~ ssItem(X3)
| ~ memberP(sk3,X3) )
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f259,f227]) ).
fof(f227,plain,
( ssItem(sk9)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl0_3
<=> ssItem(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f259,plain,
( ! [X3] :
( ~ ssItem(sk9)
| memberP(nil,X3)
| ~ memberP(sk3,X3)
| sk9 = X3
| ~ ssItem(X3) )
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f252,f8]) ).
fof(f252,plain,
( ! [X3] :
( ~ ssItem(X3)
| memberP(nil,X3)
| ~ ssList(nil)
| ~ ssItem(sk9)
| ~ memberP(sk3,X3)
| sk9 = X3 )
| ~ spl0_6 ),
inference(superposition,[],[f161,f242]) ).
fof(f242,plain,
( sk3 = cons(sk9,nil)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl0_6
<=> sk3 = cons(sk9,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X2)
| X0 = X2
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f967,plain,
( memberP(sk3,sk5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_21
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f966,f714]) ).
fof(f714,plain,
( ssList(app(sk3,sk8))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(backward_demodulation,[],[f548,f671]) ).
fof(f671,plain,
( sk3 = cons(sk6,nil)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15 ),
inference(backward_demodulation,[],[f242,f667]) ).
fof(f548,plain,
( ssList(app(cons(sk6,nil),sk8))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f547,plain,
( spl0_21
<=> ssList(app(cons(sk6,nil),sk8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f966,plain,
( ~ ssList(app(sk3,sk8))
| memberP(sk3,sk5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f965,f208]) ).
fof(f208,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f965,plain,
( ~ ssList(sk3)
| ~ ssList(app(sk3,sk8))
| memberP(sk3,sk5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f964,f192]) ).
fof(f964,plain,
( memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ ssList(app(sk3,sk8))
| ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f943,f194]) ).
fof(f194,axiom,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f943,plain,
( ~ ssList(sk7)
| ~ ssList(app(sk3,sk8))
| memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f210,f895]) ).
fof(f895,plain,
( sk3 = app(sk7,cons(sk5,app(sk3,sk8)))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f894,f192]) ).
fof(f894,plain,
( sk3 = app(sk7,cons(sk5,app(sk3,sk8)))
| ~ ssItem(sk5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f893,f208]) ).
fof(f893,plain,
( ~ ssList(sk3)
| sk3 = app(sk7,cons(sk5,app(sk3,sk8)))
| ~ ssItem(sk5)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f845,f195]) ).
fof(f195,axiom,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f845,plain,
( ~ ssList(sk8)
| ~ ssItem(sk5)
| sk3 = app(sk7,cons(sk5,app(sk3,sk8)))
| ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f838,f157]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f838,plain,
( sk3 = app(sk7,app(cons(sk5,sk3),sk8))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f837,f768]) ).
fof(f768,plain,
( ssList(cons(sk5,sk3))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f767,f208]) ).
fof(f767,plain,
( ssList(cons(sk5,sk3))
| ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f766,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f766,plain,
( ssList(cons(sk5,app(nil,sk3)))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f765,f208]) ).
fof(f765,plain,
( ssList(cons(sk5,app(nil,sk3)))
| ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f764,f192]) ).
fof(f764,plain,
( ~ ssItem(sk5)
| ssList(cons(sk5,app(nil,sk3)))
| ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f763,f8]) ).
fof(f763,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| ~ ssList(sk3)
| ssList(cons(sk5,app(nil,sk3)))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f760,f157]) ).
fof(f760,plain,
( ssList(app(cons(sk5,nil),sk3))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f632,f671]) ).
fof(f632,plain,
( ssList(app(cons(sk5,nil),cons(sk6,nil)))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f631,plain,
( spl0_29
<=> ssList(app(cons(sk5,nil),cons(sk6,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f837,plain,
( sk3 = app(sk7,app(cons(sk5,sk3),sk8))
| ~ ssList(cons(sk5,sk3))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f836,f195]) ).
fof(f836,plain,
( ~ ssList(sk8)
| sk3 = app(sk7,app(cons(sk5,sk3),sk8))
| ~ ssList(cons(sk5,sk3))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f820,f194]) ).
fof(f820,plain,
( ~ ssList(sk7)
| sk3 = app(sk7,app(cons(sk5,sk3),sk8))
| ~ ssList(sk8)
| ~ ssList(cons(sk5,sk3))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f149,f728]) ).
fof(f728,plain,
( sk3 = app(app(sk7,cons(sk5,sk3)),sk8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_15 ),
inference(backward_demodulation,[],[f649,f671]) ).
fof(f649,plain,
( sk3 = app(app(sk7,cons(sk5,cons(sk6,nil))),sk8)
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f648,f383]) ).
fof(f383,plain,
( ssList(cons(sk6,nil))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f382,plain,
( spl0_9
<=> ssList(cons(sk6,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f648,plain,
( sk3 = app(app(sk7,cons(sk5,cons(sk6,nil))),sk8)
| ~ ssList(cons(sk6,nil))
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f609,f192]) ).
fof(f609,plain,
( sk3 = app(app(sk7,cons(sk5,cons(sk6,nil))),sk8)
| ~ ssItem(sk5)
| ~ ssList(cons(sk6,nil))
| ~ spl0_13 ),
inference(superposition,[],[f404,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f404,plain,
( sk3 = app(app(sk7,app(cons(sk5,nil),cons(sk6,nil))),sk8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f402,plain,
( spl0_13
<=> sk3 = app(app(sk7,app(cons(sk5,nil),cons(sk6,nil))),sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f756,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_15
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f755,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_15
| spl0_29 ),
inference(subsumption_resolution,[],[f754,f208]) ).
fof(f754,plain,
( ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_15
| spl0_29 ),
inference(subsumption_resolution,[],[f749,f399]) ).
fof(f399,plain,
( ssList(cons(sk5,nil))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f398,plain,
( spl0_12
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f749,plain,
( ~ ssList(cons(sk5,nil))
| ~ ssList(sk3)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| spl0_29 ),
inference(resolution,[],[f723,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f723,plain,
( ~ ssList(app(cons(sk5,nil),sk3))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_15
| spl0_29 ),
inference(backward_demodulation,[],[f633,f671]) ).
fof(f633,plain,
( ~ ssList(app(cons(sk5,nil),cons(sk6,nil)))
| spl0_29 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f605,plain,
( ~ spl0_9
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f604]) ).
fof(f604,plain,
( $false
| ~ spl0_9
| spl0_21 ),
inference(subsumption_resolution,[],[f603,f383]) ).
fof(f603,plain,
( ~ ssList(cons(sk6,nil))
| spl0_21 ),
inference(subsumption_resolution,[],[f598,f195]) ).
fof(f598,plain,
( ~ ssList(sk8)
| ~ ssList(cons(sk6,nil))
| spl0_21 ),
inference(resolution,[],[f549,f85]) ).
fof(f549,plain,
( ~ ssList(app(cons(sk6,nil),sk8))
| spl0_21 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f451,plain,
( spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f449,f387]) ).
fof(f449,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f447,f383]) ).
fof(f447,plain,
( ~ ssList(cons(sk6,nil))
| ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_7 ),
inference(resolution,[],[f375,f85]) ).
fof(f375,plain,
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| spl0_7 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f446,plain,
( spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f444,f399]) ).
fof(f444,plain,
( ~ ssList(cons(sk5,nil))
| spl0_10 ),
inference(subsumption_resolution,[],[f443,f194]) ).
fof(f443,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk5,nil))
| spl0_10 ),
inference(resolution,[],[f388,f85]) ).
fof(f388,plain,
( ~ ssList(app(sk7,cons(sk5,nil)))
| spl0_10 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f442,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| spl0_12 ),
inference(subsumption_resolution,[],[f440,f8]) ).
fof(f440,plain,
( ~ ssList(nil)
| spl0_12 ),
inference(subsumption_resolution,[],[f439,f192]) ).
fof(f439,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| spl0_12 ),
inference(resolution,[],[f400,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f400,plain,
( ~ ssList(cons(sk5,nil))
| spl0_12 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f438,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f437,plain,
( $false
| spl0_9 ),
inference(subsumption_resolution,[],[f436,f193]) ).
fof(f436,plain,
( ~ ssItem(sk6)
| spl0_9 ),
inference(subsumption_resolution,[],[f435,f8]) ).
fof(f435,plain,
( ~ ssList(nil)
| ~ ssItem(sk6)
| spl0_9 ),
inference(resolution,[],[f384,f86]) ).
fof(f384,plain,
( ~ ssList(cons(sk6,nil))
| spl0_9 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f415,plain,
( ~ spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f411,f413,f373]) ).
fof(f411,plain,
! [X0] :
( ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| memberP(sk3,X0)
| ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f363,f195]) ).
fof(f363,plain,
! [X0] :
( ~ ssList(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)))
| ~ memberP(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),X0)
| ~ ssItem(X0)
| memberP(sk3,X0)
| ~ ssList(sk8) ),
inference(superposition,[],[f140,f206]) ).
fof(f206,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f196,f191]) ).
fof(f196,axiom,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f405,plain,
( ~ spl0_12
| ~ spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f396,f402,f382,f398]) ).
fof(f396,plain,
( sk3 = app(app(sk7,app(cons(sk5,nil),cons(sk6,nil))),sk8)
| ~ ssList(cons(sk6,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(subsumption_resolution,[],[f357,f194]) ).
fof(f357,plain,
( ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| sk3 = app(app(sk7,app(cons(sk5,nil),cons(sk6,nil))),sk8)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[],[f206,f149]) ).
fof(f245,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f203,f229,f240]) ).
fof(f203,axiom,
( nil = sk3
| sk3 = cons(sk9,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f232,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f199,f229,f225]) ).
fof(f199,axiom,
( nil = sk3
| ssItem(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC188-1 : 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_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:35:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (15245)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)
% 0.21/0.56 % (15245)Instruction limit reached!
% 0.21/0.56 % (15245)------------------------------
% 0.21/0.56 % (15245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (15243)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)
% 0.21/0.56 % (15244)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)
% 0.21/0.56 % (15261)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.56 % (15253)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (15245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (15245)Termination reason: Unknown
% 0.21/0.56 % (15245)Termination phase: Property scanning
% 0.21/0.56
% 0.21/0.56 % (15245)Memory used [KB]: 1535
% 0.21/0.56 % (15245)Time elapsed: 0.004 s
% 0.21/0.56 % (15245)Instructions burned: 3 (million)
% 0.21/0.56 % (15245)------------------------------
% 0.21/0.56 % (15245)------------------------------
% 0.21/0.57 % (15253)Instruction limit reached!
% 0.21/0.57 % (15253)------------------------------
% 0.21/0.57 % (15253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (15253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (15253)Termination reason: Unknown
% 0.21/0.57 % (15253)Termination phase: shuffling
% 0.21/0.57
% 0.21/0.57 % (15253)Memory used [KB]: 1407
% 0.21/0.57 % (15253)Time elapsed: 0.003 s
% 0.21/0.57 % (15253)Instructions burned: 2 (million)
% 0.21/0.57 % (15253)------------------------------
% 0.21/0.57 % (15253)------------------------------
% 0.21/0.57 % (15260)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.57 % (15259)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)
% 0.21/0.57 % (15252)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.57 % (15251)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)
% 0.21/0.57 % (15252)Instruction limit reached!
% 0.21/0.57 % (15252)------------------------------
% 0.21/0.57 % (15252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (15252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (15252)Termination reason: Unknown
% 0.21/0.59 % (15252)Termination phase: Finite model building preprocessing
% 0.21/0.59
% 0.21/0.59 % (15252)Memory used [KB]: 1535
% 0.21/0.59 % (15252)Time elapsed: 0.006 s
% 0.21/0.59 % (15252)Instructions burned: 6 (million)
% 0.21/0.59 % (15252)------------------------------
% 0.21/0.59 % (15252)------------------------------
% 0.21/0.61 % (15242)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.62 % (15262)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.62 % (15241)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)
% 0.21/0.62 % (15254)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.62 % (15240)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.62 % (15244)First to succeed.
% 0.21/0.62 % (15246)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.63 % (15258)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)
% 0.21/0.63 % (15264)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.63 % (15260)Instruction limit reached!
% 0.21/0.63 % (15260)------------------------------
% 0.21/0.63 % (15260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.63 % (15260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.63 % (15260)Termination reason: Unknown
% 0.21/0.63 % (15260)Termination phase: Saturation
% 0.21/0.63
% 0.21/0.63 % (15260)Memory used [KB]: 6780
% 0.21/0.63 % (15260)Time elapsed: 0.187 s
% 0.21/0.63 % (15260)Instructions burned: 37 (million)
% 0.21/0.63 % (15260)------------------------------
% 0.21/0.63 % (15260)------------------------------
% 0.21/0.63 % (15251)Instruction limit reached!
% 0.21/0.63 % (15251)------------------------------
% 0.21/0.63 % (15251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.63 % (15251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.63 % (15251)Termination reason: Unknown
% 0.21/0.63 % (15251)Termination phase: Saturation
% 0.21/0.63
% 0.21/0.63 % (15251)Memory used [KB]: 1791
% 0.21/0.63 % (15251)Time elapsed: 0.183 s
% 0.21/0.63 % (15251)Instructions burned: 29 (million)
% 0.21/0.63 % (15251)------------------------------
% 0.21/0.63 % (15251)------------------------------
% 1.99/0.63 % (15244)Refutation found. Thanks to Tanya!
% 1.99/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.99/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.63 % (15244)------------------------------
% 1.99/0.63 % (15244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.63 % (15244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.63 % (15244)Termination reason: Refutation
% 1.99/0.63
% 1.99/0.63 % (15244)Memory used [KB]: 6524
% 1.99/0.63 % (15244)Time elapsed: 0.195 s
% 1.99/0.63 % (15244)Instructions burned: 38 (million)
% 1.99/0.63 % (15244)------------------------------
% 1.99/0.63 % (15244)------------------------------
% 1.99/0.63 % (15236)Success in time 0.267 s
%------------------------------------------------------------------------------