TSTP Solution File: SWC018-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC018-1 : 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 18:38:14 EDT 2022
% Result : Unsatisfiable 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 63 ( 8 unt; 0 def)
% Number of atoms : 186 ( 47 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 245 ( 122 ~; 118 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f379,plain,
$false,
inference(avatar_sat_refutation,[],[f227,f228,f232,f305,f342,f357,f378]) ).
fof(f378,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f377,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f376,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f376,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f308,f213]) ).
fof(f213,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f208,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( X0 != X1
| ~ ssList(X0)
| ~ neq(X0,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f308,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_2 ),
inference(backward_demodulation,[],[f221,f217]) ).
fof(f217,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl0_1
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f221,plain,
( neq(sk4,nil)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl0_2
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f357,plain,
( spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f332,f215,f339]) ).
fof(f339,plain,
( spl0_7
<=> nil = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f332,plain,
( nil = sk5
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f331,f192]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f331,plain,
( ~ ssList(sk5)
| nil = sk5
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f330,f203]) ).
fof(f203,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(f330,plain,
( ~ ssList(sk3)
| nil = sk5
| ~ ssList(sk5)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f236,f217]) ).
fof(f236,plain,
( nil != sk4
| nil = sk5
| ~ ssList(sk3)
| ~ ssList(sk5) ),
inference(superposition,[],[f119,f193]) ).
fof(f193,axiom,
sk4 = app(sk3,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f342,plain,
( ~ spl0_7
| spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f337,f215,f224,f339]) ).
fof(f224,plain,
( spl0_3
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f337,plain,
( nil = sk3
| nil != sk5
| ~ spl0_1 ),
inference(forward_demodulation,[],[f336,f217]) ).
fof(f336,plain,
( sk4 != sk5
| nil = sk3 ),
inference(subsumption_resolution,[],[f292,f192]) ).
fof(f292,plain,
( sk4 != sk5
| ~ ssList(sk5)
| nil = sk3 ),
inference(subsumption_resolution,[],[f288,f8]) ).
fof(f288,plain,
( sk4 != sk5
| ~ ssList(nil)
| ~ ssList(sk5)
| nil = sk3 ),
inference(superposition,[],[f250,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f250,plain,
! [X5] :
( sk4 != app(X5,sk5)
| ~ ssList(X5)
| sk3 = X5 ),
inference(subsumption_resolution,[],[f249,f203]) ).
fof(f249,plain,
! [X5] :
( ~ ssList(X5)
| ~ ssList(sk3)
| sk4 != app(X5,sk5)
| sk3 = X5 ),
inference(subsumption_resolution,[],[f242,f192]) ).
fof(f242,plain,
! [X5] :
( sk3 = X5
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssList(X5)
| sk4 != app(X5,sk5) ),
inference(superposition,[],[f151,f193]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2)
| X0 = X2
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f305,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f304]) ).
fof(f304,plain,
( $false
| spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f303,f226]) ).
fof(f226,plain,
( nil != sk3
| spl0_3 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f303,plain,
( nil = sk3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f302,f203]) ).
fof(f302,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f300]) ).
fof(f300,plain,
( ~ ssList(sk3)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_4 ),
inference(resolution,[],[f299,f61]) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f299,plain,
( ! [X0] :
( ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f298,f254]) ).
fof(f254,plain,
! [X0] :
( ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| frontsegP(sk4,X0) ),
inference(subsumption_resolution,[],[f253,f203]) ).
fof(f253,plain,
! [X0] :
( ~ ssList(sk3)
| ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| frontsegP(sk4,X0) ),
inference(subsumption_resolution,[],[f237,f192]) ).
fof(f237,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sk3,X0)
| ~ ssList(sk5)
| ~ ssList(sk3)
| frontsegP(sk4,X0) ),
inference(superposition,[],[f137,f193]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f298,plain,
( ! [X0] :
( ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ frontsegP(sk4,X0)
| nil = X0 )
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f297,f8]) ).
fof(f297,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(sk3,X0)
| ~ frontsegP(sk4,X0) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f295]) ).
fof(f295,plain,
( ! [X0] :
( ~ frontsegP(sk4,X0)
| ~ ssList(X0)
| nil = X0
| ~ frontsegP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_4 ),
inference(resolution,[],[f231,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f231,plain,
( ! [X6] :
( ~ neq(X6,nil)
| ~ frontsegP(sk4,X6)
| ~ ssList(X6)
| ~ frontsegP(sk3,X6) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl0_4
<=> ! [X6] :
( ~ frontsegP(sk3,X6)
| ~ frontsegP(sk4,X6)
| ~ ssList(X6)
| ~ neq(X6,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f232,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f206,f230,f215]) ).
fof(f206,plain,
! [X6] :
( ~ frontsegP(sk3,X6)
| nil = sk4
| ~ neq(X6,nil)
| ~ ssList(X6)
| ~ frontsegP(sk4,X6) ),
inference(definition_unfolding,[],[f198,f191,f190,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f198,axiom,
! [X6] :
( ~ frontsegP(sk1,X6)
| ~ neq(X6,nil)
| nil = sk2
| ~ ssList(X6)
| ~ frontsegP(sk2,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f228,plain,
( ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f196,f215,f224]) ).
fof(f196,axiom,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f227,plain,
( ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f201,f219,f224]) ).
fof(f201,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f199,f191,f190]) ).
fof(f199,axiom,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC018-1 : 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
% 0.13/0.35 % Computer : n015.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 18:06:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (30769)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)
% 0.20/0.56 % (30770)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)
% 0.20/0.56 % (30771)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)
% 0.20/0.56 % (30771)Instruction limit reached!
% 0.20/0.56 % (30771)------------------------------
% 0.20/0.56 % (30771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (30771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (30771)Termination reason: Unknown
% 0.20/0.56 % (30771)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (30771)Memory used [KB]: 1535
% 0.20/0.56 % (30771)Time elapsed: 0.003 s
% 0.20/0.56 % (30771)Instructions burned: 3 (million)
% 0.20/0.56 % (30771)------------------------------
% 0.20/0.56 % (30771)------------------------------
% 0.20/0.57 % (30770)First to succeed.
% 0.20/0.57 % (30779)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)
% 0.20/0.57 % (30786)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)
% 0.20/0.57 % (30787)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)
% 0.20/0.57 % (30779)Instruction limit reached!
% 0.20/0.57 % (30779)------------------------------
% 0.20/0.57 % (30779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (30779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (30779)Termination reason: Unknown
% 0.20/0.57 % (30779)Termination phase: shuffling
% 0.20/0.57
% 0.20/0.57 % (30779)Memory used [KB]: 1407
% 0.20/0.57 % (30779)Time elapsed: 0.005 s
% 0.20/0.57 % (30779)Instructions burned: 2 (million)
% 0.20/0.57 % (30779)------------------------------
% 0.20/0.57 % (30779)------------------------------
% 0.20/0.57 % (30778)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)
% 0.20/0.57 % (30785)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)
% 0.20/0.57 % (30777)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)
% 0.20/0.57 % (30778)Instruction limit reached!
% 0.20/0.57 % (30778)------------------------------
% 0.20/0.57 % (30778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (30770)Refutation found. Thanks to Tanya!
% 0.20/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.59 % (30770)------------------------------
% 0.20/0.59 % (30770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (30770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (30770)Termination reason: Refutation
% 0.20/0.59
% 0.20/0.59 % (30770)Memory used [KB]: 6140
% 0.20/0.59 % (30770)Time elapsed: 0.133 s
% 0.20/0.59 % (30770)Instructions burned: 8 (million)
% 0.20/0.59 % (30770)------------------------------
% 0.20/0.59 % (30770)------------------------------
% 0.20/0.59 % (30762)Success in time 0.225 s
%------------------------------------------------------------------------------