TSTP Solution File: SWC279-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC279-1 : 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 : n010.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 18:40:05 EDT 2022
% Result : Unsatisfiable 0.21s 0.60s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 44 ( 8 unt; 0 def)
% Number of atoms : 125 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 156 ( 75 ~; 77 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f259,plain,
$false,
inference(avatar_sat_refutation,[],[f220,f225,f230,f231,f249,f258]) ).
fof(f258,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| ~ spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f256,f224]) ).
fof(f224,plain,
( ~ leq(sk8,sk5)
| spl0_3 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl0_3
<=> leq(sk8,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f256,plain,
( leq(sk8,sk5)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f255,f198]) ).
fof(f198,axiom,
ssItem(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f255,plain,
( ~ ssItem(sk8)
| leq(sk8,sk5)
| ~ spl0_1 ),
inference(resolution,[],[f254,f215]) ).
fof(f215,plain,
( memberP(sk6,sk8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl0_1
<=> memberP(sk6,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f254,plain,
! [X0] :
( ~ memberP(sk6,X0)
| ~ ssItem(X0)
| leq(X0,sk5) ),
inference(subsumption_resolution,[],[f253,f194]) ).
fof(f194,axiom,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f253,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sk5)
| leq(X0,sk5)
| ~ memberP(sk6,X0) ),
inference(subsumption_resolution,[],[f252,f196]) ).
fof(f196,axiom,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f252,plain,
! [X0] :
( ~ ssList(sk7)
| ~ memberP(sk6,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| leq(X0,sk5) ),
inference(subsumption_resolution,[],[f251,f195]) ).
fof(f195,axiom,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f251,plain,
! [X0] :
( ~ ssList(sk6)
| ~ ssItem(sk5)
| leq(X0,sk5)
| ~ memberP(sk6,X0)
| ~ ssItem(X0)
| ~ ssList(sk7) ),
inference(trivial_inequality_removal,[],[f250]) ).
fof(f250,plain,
! [X0] :
( ~ ssItem(sk5)
| leq(X0,sk5)
| ~ ssList(sk6)
| ~ memberP(sk6,X0)
| ~ ssItem(X0)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(superposition,[],[f193,f203]) ).
fof(f203,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(definition_unfolding,[],[f197,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f197,axiom,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f193,axiom,
! [X8,X6,X9,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| leq(X9,X6)
| ~ ssItem(X6)
| ~ ssItem(X9)
| ~ ssList(X8)
| ~ memberP(X7,X9)
| ~ ssList(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f249,plain,
( ~ spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f248]) ).
fof(f248,plain,
( $false
| ~ spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f247,f198]) ).
fof(f247,plain,
( ~ ssItem(sk8)
| ~ spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f246,f229]) ).
fof(f229,plain,
( ~ leq(sk5,sk8)
| spl0_4 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl0_4
<=> leq(sk5,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f246,plain,
( leq(sk5,sk8)
| ~ ssItem(sk8)
| ~ spl0_2 ),
inference(resolution,[],[f245,f219]) ).
fof(f219,plain,
( memberP(sk7,sk8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl0_2
<=> memberP(sk7,sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f245,plain,
! [X0] :
( ~ memberP(sk7,X0)
| ~ ssItem(X0)
| leq(sk5,X0) ),
inference(subsumption_resolution,[],[f244,f195]) ).
fof(f244,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk7,X0)
| leq(sk5,X0)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f243,f194]) ).
fof(f243,plain,
! [X0] :
( ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(sk6)
| ~ memberP(sk7,X0)
| leq(sk5,X0) ),
inference(subsumption_resolution,[],[f242,f196]) ).
fof(f242,plain,
! [X0] :
( leq(sk5,X0)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ memberP(sk7,X0) ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f241,plain,
! [X0] :
( sk3 != sk3
| ~ ssItem(sk5)
| leq(sk5,X0)
| ~ ssList(sk6)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(superposition,[],[f192,f203]) ).
fof(f192,axiom,
! [X8,X6,X9,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ memberP(X8,X9)
| leq(X6,X9)
| ~ ssItem(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f231,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f200,f227,f213]) ).
fof(f200,axiom,
( ~ leq(sk5,sk8)
| memberP(sk6,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f230,plain,
( ~ spl0_4
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f202,f222,f227]) ).
fof(f202,axiom,
( ~ leq(sk8,sk5)
| ~ leq(sk5,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f225,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f201,f222,f217]) ).
fof(f201,axiom,
( ~ leq(sk8,sk5)
| memberP(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f220,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f199,f217,f213]) ).
fof(f199,axiom,
( memberP(sk7,sk8)
| memberP(sk6,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC279-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % 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 : n010.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 18:35:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.51 % (513)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.56 % (528)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 % (528)Instruction limit reached!
% 0.21/0.56 % (528)------------------------------
% 0.21/0.56 % (528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (528)Termination reason: Unknown
% 0.21/0.56 % (528)Termination phase: Function definition elimination
% 0.21/0.56
% 0.21/0.56 % (528)Memory used [KB]: 1407
% 0.21/0.56 % (528)Time elapsed: 0.003 s
% 0.21/0.56 % (528)Instructions burned: 2 (million)
% 0.21/0.56 % (528)------------------------------
% 0.21/0.56 % (528)------------------------------
% 0.21/0.56 % (536)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)
% 0.21/0.57 % (515)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)
% 0.21/0.57 % (521)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)
% 0.21/0.57 % (525)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)
% 0.21/0.57 % (536)First to succeed.
% 0.21/0.57 % (525)Instruction limit reached!
% 0.21/0.57 % (525)------------------------------
% 0.21/0.57 % (525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (517)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.58 % (525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (525)Termination reason: Unknown
% 0.21/0.58 % (525)Termination phase: Function definition elimination
% 0.21/0.58
% 0.21/0.58 % (525)Memory used [KB]: 1407
% 0.21/0.58 % (525)Time elapsed: 0.004 s
% 0.21/0.58 % (525)Instructions burned: 4 (million)
% 0.21/0.58 % (525)------------------------------
% 0.21/0.58 % (525)------------------------------
% 0.21/0.59 % (533)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)
% 0.21/0.59 % (512)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.59 % (517)Also succeeded, but the first one will report.
% 0.21/0.59 % (534)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)
% 0.21/0.60 % (536)Refutation found. Thanks to Tanya!
% 0.21/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.60 % (536)------------------------------
% 0.21/0.60 % (536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60 % (536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60 % (536)Termination reason: Refutation
% 0.21/0.60
% 0.21/0.60 % (536)Memory used [KB]: 6012
% 0.21/0.60 % (536)Time elapsed: 0.171 s
% 0.21/0.60 % (536)Instructions burned: 4 (million)
% 0.21/0.60 % (536)------------------------------
% 0.21/0.60 % (536)------------------------------
% 0.21/0.60 % (511)Success in time 0.239 s
%------------------------------------------------------------------------------