TSTP Solution File: SWC013-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC013-1 : 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 : n013.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 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 8 unt; 0 def)
% Number of atoms : 151 ( 30 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 185 ( 86 ~; 93 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f651,plain,
$false,
inference(avatar_sat_refutation,[],[f239,f240,f241,f412,f505,f594,f650]) ).
fof(f650,plain,
( spl0_1
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f649,plain,
( $false
| spl0_1
| spl0_21 ),
inference(subsumption_resolution,[],[f648,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f648,plain,
( ~ ssList(nil)
| spl0_1
| spl0_21 ),
inference(subsumption_resolution,[],[f647,f199]) ).
fof(f199,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(f647,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| spl0_1
| spl0_21 ),
inference(subsumption_resolution,[],[f646,f410]) ).
fof(f410,plain,
( nil != sk4
| spl0_21 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f409,plain,
( spl0_21
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f646,plain,
( nil = sk4
| ~ ssList(nil)
| ~ ssList(sk4)
| spl0_1 ),
inference(resolution,[],[f221,f243]) ).
fof(f243,plain,
! [X0,X1] :
( ssList(cons(hd(X0),X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f86,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ssList(cons(X0,X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f221,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl0_1
<=> ssList(cons(hd(sk4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f594,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f593,plain,
( $false
| ~ spl0_5
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f592,f8]) ).
fof(f592,plain,
( ~ ssList(nil)
| ~ spl0_5
| ~ spl0_21 ),
inference(resolution,[],[f563,f215]) ).
fof(f215,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f205]) ).
fof(f205,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ neq(X0,X1)
| X0 != X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f563,plain,
( neq(nil,nil)
| ~ spl0_5
| ~ spl0_21 ),
inference(superposition,[],[f237,f411]) ).
fof(f411,plain,
( nil = sk4
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f237,plain,
( neq(sk4,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl0_5
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f505,plain,
( spl0_21
| spl0_4 ),
inference(avatar_split_clause,[],[f504,f231,f409]) ).
fof(f231,plain,
( spl0_4
<=> ssItem(hd(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f504,plain,
( nil = sk4
| spl0_4 ),
inference(subsumption_resolution,[],[f428,f199]) ).
fof(f428,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_4 ),
inference(resolution,[],[f233,f76]) ).
fof(f233,plain,
( ~ ssItem(hd(sk4))
| spl0_4 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f412,plain,
( spl0_21
| spl0_2 ),
inference(avatar_split_clause,[],[f298,f223,f409]) ).
fof(f223,plain,
( spl0_2
<=> neq(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f298,plain,
( neq(nil,sk4)
| nil = sk4 ),
inference(resolution,[],[f247,f199]) ).
fof(f247,plain,
! [X2] :
( ~ ssList(X2)
| nil = X2
| neq(nil,X2) ),
inference(resolution,[],[f100,f8]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| neq(X1,X0)
| ~ ssList(X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f241,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f209,f235,f223,f231,f227,f219]) ).
fof(f227,plain,
( spl0_3
<=> sk3 = cons(hd(sk4),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f209,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| sk3 != cons(hd(sk4),nil)
| ~ ssList(cons(hd(sk4),nil)) ),
inference(equality_resolution,[],[f208]) ).
fof(f208,plain,
! [X6] :
( cons(hd(sk4),nil) != X6
| ~ ssList(X6)
| sk3 != X6
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4) ),
inference(equality_resolution,[],[f200]) ).
fof(f200,plain,
! [X6,X7] :
( hd(sk4) != X7
| cons(X7,nil) != X6
| ~ ssList(X6)
| sk3 != X6
| ~ neq(sk4,nil)
| ~ ssItem(X7)
| ~ neq(nil,sk4) ),
inference(definition_unfolding,[],[f197,f190,f191,f190]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f197,axiom,
! [X6,X7] :
( hd(sk2) != X7
| cons(X7,nil) != X6
| ~ ssList(X6)
| sk1 != X6
| ~ neq(sk4,nil)
| ~ ssItem(X7)
| ~ neq(nil,sk2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f240,plain,
spl0_5,
inference(avatar_split_clause,[],[f217,f235]) ).
fof(f217,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(f239,plain,
( ~ spl0_2
| spl0_3
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f213,f235,f231,f219,f227,f223]) ).
fof(f213,plain,
( ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| sk3 = cons(hd(sk4),nil)
| ~ neq(nil,sk4) ),
inference(equality_resolution,[],[f212]) ).
fof(f212,plain,
! [X7] :
( ~ neq(nil,sk4)
| sk3 = cons(X7,nil)
| ~ ssItem(X7)
| hd(sk4) != X7
| ~ ssList(cons(X7,nil))
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f196]) ).
fof(f196,axiom,
! [X6,X7] :
( ~ neq(nil,sk4)
| sk3 = X6
| ~ ssItem(X7)
| cons(X7,nil) != X6
| hd(sk4) != X7
| ~ ssList(X6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC013-1 : 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
% 0.13/0.34 % Computer : n013.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 17:52:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (20622)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 % (20622)First to succeed.
% 0.19/0.51 % (20641)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)
% 0.19/0.51 % (20621)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.51 % (20621)Instruction limit reached!
% 0.19/0.51 % (20621)------------------------------
% 0.19/0.51 % (20621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (20621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (20621)Termination reason: Unknown
% 0.19/0.51 % (20621)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (20621)Memory used [KB]: 1535
% 0.19/0.51 % (20621)Time elapsed: 0.003 s
% 0.19/0.51 % (20621)Instructions burned: 4 (million)
% 0.19/0.51 % (20621)------------------------------
% 0.19/0.51 % (20621)------------------------------
% 0.19/0.51 % (20625)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)
% 0.19/0.51 % (20632)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)
% 0.19/0.51 % (20632)Instruction limit reached!
% 0.19/0.51 % (20632)------------------------------
% 0.19/0.51 % (20632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (20632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (20632)Termination reason: Unknown
% 0.19/0.51 % (20632)Termination phase: Function definition elimination
% 0.19/0.51
% 0.19/0.51 % (20632)Memory used [KB]: 1407
% 0.19/0.51 % (20632)Time elapsed: 0.004 s
% 0.19/0.51 % (20632)Instructions burned: 4 (million)
% 0.19/0.51 % (20632)------------------------------
% 0.19/0.51 % (20632)------------------------------
% 0.19/0.51 % (20641)Also succeeded, but the first one will report.
% 0.19/0.52 % (20622)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (20622)------------------------------
% 0.19/0.52 % (20622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (20622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (20622)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (20622)Memory used [KB]: 6268
% 0.19/0.52 % (20622)Time elapsed: 0.097 s
% 0.19/0.52 % (20622)Instructions burned: 13 (million)
% 0.19/0.52 % (20622)------------------------------
% 0.19/0.52 % (20622)------------------------------
% 0.19/0.52 % (20610)Success in time 0.167 s
%------------------------------------------------------------------------------