TSTP Solution File: SWC182-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC182-1 : 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 : n005.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 18:39:24 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 63 ( 12 unt; 0 def)
% Number of atoms : 148 ( 29 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 163 ( 78 ~; 79 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f357,plain,
$false,
inference(avatar_sat_refutation,[],[f224,f248,f289,f319,f329,f352,f356]) ).
fof(f356,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f354,f353]) ).
fof(f353,plain,
( ~ memberP(sk3,sk5)
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f222,f314]) ).
fof(f314,plain,
( sk3 = sk6
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl0_5
<=> sk3 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f222,plain,
( ~ memberP(sk6,sk5)
| spl0_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl0_2
<=> memberP(sk6,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f354,plain,
( memberP(sk3,sk5)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f219,f291]) ).
fof(f291,plain,
( sk3 = sk7
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f290,f246]) ).
fof(f246,plain,
( ssList(app(sk6,cons(sk5,sk3)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl0_4
<=> ssList(app(sk6,cons(sk5,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f290,plain,
( sk3 = sk7
| ~ ssList(app(sk6,cons(sk5,sk3))) ),
inference(subsumption_resolution,[],[f256,f195]) ).
fof(f195,axiom,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f256,plain,
( ~ ssList(sk7)
| sk3 = sk7
| ~ ssList(app(sk6,cons(sk5,sk3))) ),
inference(trivial_inequality_removal,[],[f254]) ).
fof(f254,plain,
( sk3 = sk7
| sk3 != sk3
| ~ ssList(app(sk6,cons(sk5,sk3)))
| ~ ssList(sk7) ),
inference(superposition,[],[f209,f198]) ).
fof(f198,plain,
sk3 = app(app(sk6,cons(sk5,sk3)),sk7),
inference(definition_unfolding,[],[f196,f192,f190]) ).
fof(f190,axiom,
nil = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f192,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f196,axiom,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f209,plain,
! [X0,X1] :
( app(X0,X1) != sk3
| sk3 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f119,f190,f190]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X0)
| nil = X1
| nil != app(X0,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f219,plain,
( memberP(sk7,sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl0_1
<=> memberP(sk7,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f352,plain,
( ~ spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f351]) ).
fof(f351,plain,
( $false
| ~ spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f349,f193]) ).
fof(f193,axiom,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f349,plain,
( ~ ssItem(sk5)
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f338,f203]) ).
fof(f203,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f71,f190]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f338,plain,
( memberP(sk3,sk5)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f223,f314]) ).
fof(f223,plain,
( memberP(sk6,sk5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f329,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| spl0_6 ),
inference(subsumption_resolution,[],[f327,f204]) ).
fof(f204,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f192]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f327,plain,
( ~ ssList(sk3)
| spl0_6 ),
inference(resolution,[],[f318,f283]) ).
fof(f283,plain,
! [X0] :
( ssList(cons(sk5,X0))
| ~ ssList(X0) ),
inference(resolution,[],[f86,f193]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f318,plain,
( ~ ssList(cons(sk5,sk3))
| spl0_6 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl0_6
<=> ssList(cons(sk5,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f319,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f310,f241,f316,f312]) ).
fof(f241,plain,
( spl0_3
<=> sk3 = app(sk6,cons(sk5,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f310,plain,
( ~ ssList(cons(sk5,sk3))
| sk3 = sk6
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f309,f194]) ).
fof(f194,axiom,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f309,plain,
( ~ ssList(cons(sk5,sk3))
| ~ ssList(sk6)
| sk3 = sk6
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f307]) ).
fof(f307,plain,
( sk3 = sk6
| sk3 != sk3
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk3))
| ~ spl0_3 ),
inference(superposition,[],[f208,f243]) ).
fof(f243,plain,
( sk3 = app(sk6,cons(sk5,sk3))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f208,plain,
! [X0,X1] :
( app(X0,X1) != sk3
| ~ ssList(X0)
| ~ ssList(X1)
| sk3 = X0 ),
inference(definition_unfolding,[],[f118,f190,f190]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f289,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f288]) ).
fof(f288,plain,
( $false
| spl0_4 ),
inference(subsumption_resolution,[],[f284,f204]) ).
fof(f284,plain,
( ~ ssList(sk3)
| spl0_4 ),
inference(resolution,[],[f283,f274]) ).
fof(f274,plain,
( ~ ssList(cons(sk5,sk3))
| spl0_4 ),
inference(subsumption_resolution,[],[f262,f194]) ).
fof(f262,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,sk3))
| spl0_4 ),
inference(resolution,[],[f85,f247]) ).
fof(f247,plain,
( ~ ssList(app(sk6,cons(sk5,sk3)))
| spl0_4 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f248,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f239,f245,f241]) ).
fof(f239,plain,
( ~ ssList(app(sk6,cons(sk5,sk3)))
| sk3 = app(sk6,cons(sk5,sk3)) ),
inference(subsumption_resolution,[],[f238,f195]) ).
fof(f238,plain,
( ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,sk3)))
| sk3 = app(sk6,cons(sk5,sk3)) ),
inference(trivial_inequality_removal,[],[f237]) ).
fof(f237,plain,
( sk3 != sk3
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,sk3)))
| sk3 = app(sk6,cons(sk5,sk3)) ),
inference(superposition,[],[f208,f198]) ).
fof(f224,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f197,f221,f217]) ).
fof(f197,axiom,
( memberP(sk6,sk5)
| memberP(sk7,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC182-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % 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 : n005.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 18:32:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 % (17330)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)
% 0.19/0.50 % (17330)First to succeed.
% 0.19/0.51 % (17330)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (17330)------------------------------
% 0.19/0.51 % (17330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (17330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (17330)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (17330)Memory used [KB]: 6012
% 0.19/0.51 % (17330)Time elapsed: 0.089 s
% 0.19/0.51 % (17330)Instructions burned: 5 (million)
% 0.19/0.51 % (17330)------------------------------
% 0.19/0.51 % (17330)------------------------------
% 0.19/0.51 % (17326)Success in time 0.157 s
%------------------------------------------------------------------------------