TSTP Solution File: SWC012-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC012-1 : 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 : n015.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 18:38:12 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 19
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 122 ( 26 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 142 ( 69 ~; 64 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f446,plain,
$false,
inference(avatar_sat_refutation,[],[f228,f229,f234,f237,f283,f301,f303,f351,f353,f445]) ).
fof(f445,plain,
( ~ spl0_5
| spl0_23 ),
inference(avatar_split_clause,[],[f444,f348,f247]) ).
fof(f247,plain,
( spl0_5
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f348,plain,
( spl0_23
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f444,plain,
( ~ ssList(sk3)
| spl0_23 ),
inference(trivial_inequality_removal,[],[f443]) ).
fof(f443,plain,
( ~ ssList(sk3)
| sk3 != sk3
| spl0_23 ),
inference(superposition,[],[f350,f73]) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f350,plain,
( sk3 != app(sk3,nil)
| spl0_23 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f353,plain,
spl0_22,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| spl0_22 ),
inference(resolution,[],[f346,f201]) ).
fof(f201,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f346,plain,
( ~ ssList(sk4)
| spl0_22 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f344,plain,
( spl0_22
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f351,plain,
( ~ spl0_22
| ~ spl0_13
| ~ spl0_23
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f342,f299,f348,f286,f344]) ).
fof(f286,plain,
( spl0_13
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f299,plain,
( spl0_14
<=> ! [X13] :
( ~ ssList(X13)
| sk4 != app(sk4,X13)
| sk3 != app(sk3,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f342,plain,
( sk3 != app(sk3,nil)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f341]) ).
fof(f341,plain,
( sk4 != sk4
| sk3 != app(sk3,nil)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ spl0_14 ),
inference(superposition,[],[f300,f73]) ).
fof(f300,plain,
( ! [X13] :
( sk4 != app(sk4,X13)
| sk3 != app(sk3,X13)
| ~ ssList(X13) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f303,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| spl0_13 ),
inference(resolution,[],[f288,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f288,plain,
( ~ ssList(nil)
| spl0_13 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f301,plain,
( ~ spl0_5
| spl0_14
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f294,f231,f226,f217,f299,f247]) ).
fof(f217,plain,
( spl0_1
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f226,plain,
( spl0_3
<=> ! [X6,X8,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| sk3 != app(X7,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f231,plain,
( spl0_4
<=> sk4 = app(sk3,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f294,plain,
( ! [X13] :
( ~ ssItem(sk5)
| ~ ssList(X13)
| sk3 != app(sk3,X13)
| ~ ssList(sk3)
| sk4 != app(sk4,X13) )
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f227,f233]) ).
fof(f233,plain,
( sk4 = app(sk3,cons(sk5,nil))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f227,plain,
( ! [X8,X6,X7] :
( sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| sk3 != app(X7,X8) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f283,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f249,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f249,plain,
( ~ ssList(sk3)
| spl0_5 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f237,plain,
spl0_2,
inference(avatar_split_clause,[],[f215,f221]) ).
fof(f221,plain,
( spl0_2
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f215,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f234,plain,
( spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f199,f221,f231]) ).
fof(f199,axiom,
( ~ neq(sk4,nil)
| sk4 = app(sk3,cons(sk5,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f229,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f198,f217,f221]) ).
fof(f198,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f228,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f200,f226,f221]) ).
fof(f200,plain,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ neq(sk4,nil)
| ~ ssList(X7)
| sk3 != app(X7,X8)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f197,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ neq(sk4,nil)
| ~ ssList(X7)
| sk2 != app(app(X7,cons(X6,nil)),X8)
| sk1 != app(X7,X8)
| ~ ssList(X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC012-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33 % Computer : n015.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 30 18:07:21 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.46 % (1321)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)
% 0.20/0.47 % (1329)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)
% 0.20/0.47 % (1321)Instruction limit reached!
% 0.20/0.47 % (1321)------------------------------
% 0.20/0.47 % (1321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (1321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (1321)Termination reason: Unknown
% 0.20/0.47 % (1321)Termination phase: Property scanning
% 0.20/0.47
% 0.20/0.47 % (1321)Memory used [KB]: 1407
% 0.20/0.47 % (1321)Time elapsed: 0.005 s
% 0.20/0.47 % (1321)Instructions burned: 3 (million)
% 0.20/0.47 % (1321)------------------------------
% 0.20/0.47 % (1321)------------------------------
% 0.20/0.48 % (1329)First to succeed.
% 0.20/0.48 % (1329)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (1329)------------------------------
% 0.20/0.48 % (1329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (1329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (1329)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (1329)Memory used [KB]: 6140
% 0.20/0.48 % (1329)Time elapsed: 0.078 s
% 0.20/0.48 % (1329)Instructions burned: 8 (million)
% 0.20/0.48 % (1329)------------------------------
% 0.20/0.48 % (1329)------------------------------
% 0.20/0.48 % (1307)Success in time 0.143 s
%------------------------------------------------------------------------------