TSTP Solution File: SWC038+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC038+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 : n001.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 18:38:21 EDT 2022
% Result : Theorem 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 194 ( 96 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 204 ( 44 ~; 42 |; 101 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 37 ( 13 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f277,plain,
$false,
inference(avatar_sat_refutation,[],[f262,f269,f276]) ).
fof(f276,plain,
( spl9_4
| ~ spl9_5 ),
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f275,plain,
( $false
| spl9_4
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f274,f256]) ).
fof(f256,plain,
( sK3 != sK2
| spl9_4 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl9_4
<=> sK3 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f274,plain,
( sK3 = sK2
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f271,f154]) ).
fof(f154,plain,
ssList(sK2),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ssList(sK1)
& ssList(sK3)
& nil = sK1
& sK0 = sK2
& nil != sK0
& ( ( frontsegP(sK3,sK2)
& neq(sK2,nil) )
| ( nil = sK2
& nil = sK3 ) )
& sK1 = sK3
& ssList(sK2)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f126,f134,f133,f132,f131]) ).
fof(f131,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ssList(X3)
& nil = X1
& X0 = X2
& nil != X0
& ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& X1 = X3 )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ssList(X3)
& nil = X1
& sK0 = X2
& nil != sK0
& ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& X1 = X3 )
& ssList(X2) ) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ssList(X3)
& nil = X1
& sK0 = X2
& nil != sK0
& ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& X1 = X3 )
& ssList(X2) ) )
=> ( ssList(sK1)
& ? [X2] :
( ? [X3] :
( ssList(X3)
& nil = sK1
& sK0 = X2
& nil != sK0
& ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& sK1 = X3 )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X2] :
( ? [X3] :
( ssList(X3)
& nil = sK1
& sK0 = X2
& nil != sK0
& ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& sK1 = X3 )
& ssList(X2) )
=> ( ? [X3] :
( ssList(X3)
& nil = sK1
& sK0 = sK2
& nil != sK0
& ( ( frontsegP(X3,sK2)
& neq(sK2,nil) )
| ( nil = sK2
& nil = X3 ) )
& sK1 = X3 )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X3] :
( ssList(X3)
& nil = sK1
& sK0 = sK2
& nil != sK0
& ( ( frontsegP(X3,sK2)
& neq(sK2,nil) )
| ( nil = sK2
& nil = X3 ) )
& sK1 = X3 )
=> ( ssList(sK3)
& nil = sK1
& sK0 = sK2
& nil != sK0
& ( ( frontsegP(sK3,sK2)
& neq(sK2,nil) )
| ( nil = sK2
& nil = sK3 ) )
& sK1 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ssList(X3)
& nil = X1
& X0 = X2
& nil != X0
& ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& X1 = X3 )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil = X1
& X0 = X2
& nil != X0
& ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X1
| X0 != X2
| nil = X0
| ( ( nil != X3
| nil != X2 )
& ( ~ neq(X2,nil)
| ~ frontsegP(X3,X2) ) )
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X1
| X0 != X2
| nil = X0
| ( ( nil != X3
| nil != X2 )
& ( ~ neq(X2,nil)
| ~ frontsegP(X3,X2) ) )
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f271,plain,
( ~ ssList(sK2)
| sK3 = sK2
| ~ spl9_5 ),
inference(resolution,[],[f214,f261]) ).
fof(f261,plain,
( frontsegP(sK3,sK2)
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl9_5
<=> frontsegP(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f214,plain,
! [X0] :
( ~ frontsegP(sK3,X0)
| ~ ssList(X0)
| sK3 = X0 ),
inference(definition_unfolding,[],[f173,f205,f205]) ).
fof(f205,plain,
nil = sK3,
inference(definition_unfolding,[],[f162,f155]) ).
fof(f155,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f135]) ).
fof(f162,plain,
nil = sK1,
inference(cnf_transformation,[],[f135]) ).
fof(f173,plain,
! [X0] :
( nil = X0
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( ( nil = X0
| ~ frontsegP(nil,X0) )
& ( frontsegP(nil,X0)
| nil != X0 ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ( nil = X0
<=> frontsegP(nil,X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
<=> frontsegP(nil,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f269,plain,
~ spl9_4,
inference(avatar_split_clause,[],[f207,f255]) ).
fof(f207,plain,
sK3 != sK2,
inference(definition_unfolding,[],[f160,f205,f161]) ).
fof(f161,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f135]) ).
fof(f160,plain,
nil != sK0,
inference(cnf_transformation,[],[f135]) ).
fof(f262,plain,
( spl9_4
| spl9_5 ),
inference(avatar_split_clause,[],[f208,f259,f255]) ).
fof(f208,plain,
( frontsegP(sK3,sK2)
| sK3 = sK2 ),
inference(definition_unfolding,[],[f159,f205]) ).
fof(f159,plain,
( frontsegP(sK3,sK2)
| nil = sK2 ),
inference(cnf_transformation,[],[f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC038+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.30 % Computer : n001.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 18:26:32 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.44 % (8011)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.15/0.45 % (8010)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.15/0.46 % (8003)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.46 % (8007)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.46 % (8007)First to succeed.
% 0.15/0.46 % (8024)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.47 % (8016)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.47 % (8015)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.47 % (8001)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.15/0.47 % (8019)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.47 % (8002)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.15/0.47 % (8003)Instruction limit reached!
% 0.15/0.47 % (8003)------------------------------
% 0.15/0.47 % (8003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (8003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (8003)Termination reason: Unknown
% 0.15/0.47 % (8003)Termination phase: Preprocessing 3
% 0.15/0.47
% 0.15/0.47 % (8003)Memory used [KB]: 1535
% 0.15/0.47 % (8003)Time elapsed: 0.004 s
% 0.15/0.47 % (8003)Instructions burned: 3 (million)
% 0.15/0.47 % (8003)------------------------------
% 0.15/0.47 % (8003)------------------------------
% 0.15/0.47 % (8019)Instruction limit reached!
% 0.15/0.47 % (8019)------------------------------
% 0.15/0.47 % (8019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (8019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (8019)Termination reason: Unknown
% 0.15/0.47 % (8019)Termination phase: Naming
% 0.15/0.47
% 0.15/0.47 % (8019)Memory used [KB]: 1535
% 0.15/0.47 % (8019)Time elapsed: 0.003 s
% 0.15/0.47 % (8019)Instructions burned: 2 (million)
% 0.15/0.47 % (8019)------------------------------
% 0.15/0.47 % (8019)------------------------------
% 0.15/0.47 % (8023)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.47 % (8008)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.48 % (8028)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.15/0.48 % (8007)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (8007)------------------------------
% 0.15/0.48 % (8007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (8007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (8007)Termination reason: Refutation
% 0.15/0.48
% 0.15/0.48 % (8007)Memory used [KB]: 6012
% 0.15/0.48 % (8007)Time elapsed: 0.093 s
% 0.15/0.48 % (8007)Instructions burned: 4 (million)
% 0.15/0.48 % (8007)------------------------------
% 0.15/0.48 % (8007)------------------------------
% 0.15/0.48 % (8000)Success in time 0.167 s
%------------------------------------------------------------------------------