TSTP Solution File: SWC011-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC011-1 : 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 : n029.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 18:41:11 EDT 2022
% Result : Unsatisfiable 0.37s 0.68s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 84 ( 26 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 99 ( 49 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f274,plain,
$false,
inference(subsumption_resolution,[],[f273,f254]) ).
fof(f254,plain,
ssItem(sk5),
inference(subsumption_resolution,[],[f201,f206]) ).
fof(f206,plain,
( neq(sk4,nil)
| ssItem(sk5) ),
inference(definition_unfolding,[],[f195,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f195,axiom,
( ssItem(sk5)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f201,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f273,plain,
~ ssItem(sk5),
inference(trivial_inequality_removal,[],[f272]) ).
fof(f272,plain,
( ~ ssItem(sk5)
| sk4 != sk4 ),
inference(superposition,[],[f265,f252]) ).
fof(f252,plain,
sk4 = app(app(sk6,cons(sk5,nil)),sk7),
inference(subsumption_resolution,[],[f204,f210]) ).
fof(f210,plain,
( neq(sk4,nil)
| sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
inference(definition_unfolding,[],[f198,f190]) ).
fof(f198,axiom,
( neq(sk2,nil)
| sk4 = app(app(sk6,cons(sk5,nil)),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f204,axiom,
( sk4 = app(app(sk6,cons(sk5,nil)),sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f265,plain,
! [X0] :
( sk4 != app(app(sk6,cons(X0,nil)),sk7)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f264,f249]) ).
fof(f249,plain,
ssList(sk7),
inference(subsumption_resolution,[],[f208,f203]) ).
fof(f203,axiom,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f208,plain,
( ssList(sk7)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f197,f190]) ).
fof(f197,axiom,
( neq(sk2,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f264,plain,
! [X0] :
( ~ ssList(sk7)
| sk4 != app(app(sk6,cons(X0,nil)),sk7)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f263,f250]) ).
fof(f250,plain,
ssList(sk6),
inference(subsumption_resolution,[],[f202,f212]) ).
fof(f212,plain,
( neq(sk4,nil)
| ssList(sk6) ),
inference(definition_unfolding,[],[f196,f190]) ).
fof(f196,axiom,
( ssList(sk6)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f202,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f263,plain,
! [X0] :
( ~ ssList(sk6)
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk4 != app(app(sk6,cons(X0,nil)),sk7) ),
inference(trivial_inequality_removal,[],[f261]) ).
fof(f261,plain,
! [X0] :
( sk4 != app(app(sk6,cons(X0,nil)),sk7)
| sk3 != sk3
| ~ ssItem(X0)
| ~ ssList(sk7)
| ~ ssList(sk6) ),
inference(superposition,[],[f253,f255]) ).
fof(f255,plain,
sk3 = app(sk6,sk7),
inference(subsumption_resolution,[],[f205,f216]) ).
fof(f216,plain,
( neq(sk4,nil)
| sk3 = app(sk6,sk7) ),
inference(definition_unfolding,[],[f199,f190]) ).
fof(f199,axiom,
( neq(sk2,nil)
| sk3 = app(sk6,sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f205,axiom,
( sk3 = app(sk6,sk7)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f253,plain,
! [X8,X6,X7] :
( sk3 != app(X7,X8)
| ~ ssItem(X6)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7) ),
inference(subsumption_resolution,[],[f215,f213]) ).
fof(f213,plain,
! [X8,X6,X7] :
( ~ neq(sk4,nil)
| sk3 != app(X7,X8)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8) ),
inference(definition_unfolding,[],[f200,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f200,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| sk2 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| sk1 != app(X7,X8)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f215,plain,
! [X8,X6,X7] :
( sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| neq(sk4,nil)
| ~ ssItem(X6)
| sk3 != app(X7,X8) ),
inference(definition_unfolding,[],[f194,f190,f190,f191]) ).
fof(f194,axiom,
! [X8,X6,X7] :
( ~ ssList(X7)
| sk2 != app(app(X7,cons(X6,nil)),X8)
| neq(sk2,nil)
| ~ ssItem(X6)
| sk1 != app(X7,X8)
| ~ ssList(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC011-1 : 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_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.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 18:05:42 EDT 2022
% 0.13/0.35 % CPUTime :
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% 0.37/0.67 % (8816)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 0.37/0.68 % (8814)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 (2998ds/498Mi)
% 0.37/0.68 % (8794)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 (2998ds/37Mi)
% 0.37/0.68 % (8806)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 (2998ds/68Mi)
% 0.37/0.68 % (8794)First to succeed.
% 0.37/0.68 % (8798)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 0.37/0.68 % (8794)Refutation found. Thanks to Tanya!
% 0.37/0.68 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.68 % (8794)------------------------------
% 0.37/0.68 % (8794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.37/0.68 % (8794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.37/0.68 % (8794)Termination reason: Refutation
% 0.37/0.68
% 0.37/0.68 % (8794)Memory used [KB]: 1151
% 0.37/0.68 % (8794)Time elapsed: 0.113 s
% 0.37/0.68 % (8794)Instructions burned: 10 (million)
% 0.37/0.68 % (8794)------------------------------
% 0.37/0.68 % (8794)------------------------------
% 0.37/0.68 % (8568)Success in time 0.328 s
%------------------------------------------------------------------------------