TSTP Solution File: SET148-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET148-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n022.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 18:19:32 EDT 2022
% Result : Unsatisfiable 0.12s 0.40s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 53 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 22 ~; 23 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f265,plain,
$false,
inference(avatar_sat_refutation,[],[f216,f227,f264]) ).
fof(f264,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| spl1_2 ),
inference(subsumption_resolution,[],[f262,f229]) ).
fof(f229,plain,
( member(not_subclass_element(x,intersection(x,x)),x)
| spl1_2 ),
inference(resolution,[],[f215,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f215,plain,
( ~ subclass(x,intersection(x,x))
| spl1_2 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl1_2
<=> subclass(x,intersection(x,x)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f262,plain,
( ~ member(not_subclass_element(x,intersection(x,x)),x)
| spl1_2 ),
inference(duplicate_literal_removal,[],[f254]) ).
fof(f254,plain,
( ~ member(not_subclass_element(x,intersection(x,x)),x)
| ~ member(not_subclass_element(x,intersection(x,x)),x)
| spl1_2 ),
inference(resolution,[],[f228,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f228,plain,
( ~ member(not_subclass_element(x,intersection(x,x)),intersection(x,x))
| spl1_2 ),
inference(resolution,[],[f215,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f227,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f226,plain,
( $false
| spl1_1 ),
inference(subsumption_resolution,[],[f218,f220]) ).
fof(f220,plain,
( ! [X1] : ~ member(not_subclass_element(intersection(x,x),x),intersection(x,X1))
| spl1_1 ),
inference(resolution,[],[f217,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f217,plain,
( ~ member(not_subclass_element(intersection(x,x),x),x)
| spl1_1 ),
inference(resolution,[],[f212,f3]) ).
fof(f212,plain,
( ~ subclass(intersection(x,x),x)
| spl1_1 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl1_1
<=> subclass(intersection(x,x),x) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f218,plain,
( member(not_subclass_element(intersection(x,x),x),intersection(x,x))
| spl1_1 ),
inference(resolution,[],[f212,f2]) ).
fof(f216,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f209,f214,f211]) ).
fof(f209,plain,
( ~ subclass(x,intersection(x,x))
| ~ subclass(intersection(x,x),x) ),
inference(resolution,[],[f182,f204]) ).
fof(f204,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_replacement,[],[f7,f180]) ).
fof(f180,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| X0 = X1
| ~ subclass(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f182,plain,
~ sQ0_eqProxy(x,intersection(x,x)),
inference(equality_proxy_replacement,[],[f113,f180]) ).
fof(f113,axiom,
x != intersection(x,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_idempotency_of_intersection_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET148-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.08/0.26 % Computer : n022.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue Aug 30 13:23:56 EDT 2022
% 0.08/0.26 % CPUTime :
% 0.12/0.37 % (23334)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)
% 0.12/0.38 % (23310)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.12/0.38 % (23325)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)
% 0.12/0.38 % (23312)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)
% 0.12/0.39 % (23315)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.12/0.39 % (23325)Instruction limit reached!
% 0.12/0.39 % (23325)------------------------------
% 0.12/0.39 % (23325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.39 % (23325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.39 % (23325)Termination reason: Unknown
% 0.12/0.39 % (23325)Termination phase: Finite model building preprocessing
% 0.12/0.39
% 0.12/0.39 % (23325)Memory used [KB]: 1535
% 0.12/0.39 % (23325)Time elapsed: 0.009 s
% 0.12/0.39 % (23325)Instructions burned: 7 (million)
% 0.12/0.39 % (23325)------------------------------
% 0.12/0.39 % (23325)------------------------------
% 0.12/0.39 % (23316)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)
% 0.12/0.39 % (23334)First to succeed.
% 0.12/0.39 % (23327)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.12/0.39 % (23323)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)
% 0.12/0.39 % (23317)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)
% 0.12/0.39 % (23324)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)
% 0.12/0.39 % (23323)Instruction limit reached!
% 0.12/0.39 % (23323)------------------------------
% 0.12/0.39 % (23323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.39 % (23323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.39 % (23323)Termination reason: Unknown
% 0.12/0.39 % (23323)Termination phase: Function definition elimination
% 0.12/0.39
% 0.12/0.39 % (23323)Memory used [KB]: 1407
% 0.12/0.39 % (23323)Time elapsed: 0.003 s
% 0.12/0.39 % (23323)Instructions burned: 3 (million)
% 0.12/0.39 % (23323)------------------------------
% 0.12/0.39 % (23323)------------------------------
% 0.12/0.40 % (23334)Refutation found. Thanks to Tanya!
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.40 % (23334)------------------------------
% 0.12/0.40 % (23334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.12/0.40 % (23334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.12/0.40 % (23334)Termination reason: Refutation
% 0.12/0.40
% 0.12/0.40 % (23334)Memory used [KB]: 6140
% 0.12/0.40 % (23334)Time elapsed: 0.062 s
% 0.12/0.40 % (23334)Instructions burned: 11 (million)
% 0.12/0.40 % (23334)------------------------------
% 0.12/0.40 % (23334)------------------------------
% 0.12/0.40 % (23308)Success in time 0.13 s
%------------------------------------------------------------------------------