TSTP Solution File: SET144-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET144-6 : 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 : n028.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 18:19:31 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 5 unt; 0 def)
% Number of atoms : 66 ( 3 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 58 ( 25 ~; 30 |; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f286,plain,
$false,
inference(avatar_sat_refutation,[],[f241,f263,f285]) ).
fof(f285,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| spl1_2 ),
inference(subsumption_resolution,[],[f283,f267]) ).
fof(f267,plain,
( member(not_subclass_element(intersection(x,y),intersection(y,x)),x)
| spl1_2 ),
inference(resolution,[],[f264,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f264,plain,
( member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(x,y))
| spl1_2 ),
inference(resolution,[],[f240,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f240,plain,
( ~ subclass(intersection(x,y),intersection(y,x))
| spl1_2 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl1_2
<=> subclass(intersection(x,y),intersection(y,x)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f283,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),x)
| spl1_2 ),
inference(subsumption_resolution,[],[f275,f266]) ).
fof(f266,plain,
( member(not_subclass_element(intersection(x,y),intersection(y,x)),y)
| spl1_2 ),
inference(resolution,[],[f264,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f275,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),y)
| ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),x)
| spl1_2 ),
inference(resolution,[],[f265,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( ~ member(X4,X1)
| ~ member(X4,X0)
| member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f265,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(y,x)),intersection(y,x))
| spl1_2 ),
inference(resolution,[],[f240,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f263,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f262,plain,
( $false
| spl1_1 ),
inference(subsumption_resolution,[],[f261,f244]) ).
fof(f244,plain,
( member(not_subclass_element(intersection(y,x),intersection(x,y)),x)
| spl1_1 ),
inference(resolution,[],[f242,f22]) ).
fof(f242,plain,
( member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(y,x))
| spl1_1 ),
inference(resolution,[],[f237,f2]) ).
fof(f237,plain,
( ~ subclass(intersection(y,x),intersection(x,y))
| spl1_1 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl1_1
<=> subclass(intersection(y,x),intersection(x,y)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f261,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),x)
| spl1_1 ),
inference(subsumption_resolution,[],[f253,f245]) ).
fof(f245,plain,
( member(not_subclass_element(intersection(y,x),intersection(x,y)),y)
| spl1_1 ),
inference(resolution,[],[f242,f21]) ).
fof(f253,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),y)
| ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),x)
| spl1_1 ),
inference(resolution,[],[f243,f23]) ).
fof(f243,plain,
( ~ member(not_subclass_element(intersection(y,x),intersection(x,y)),intersection(x,y))
| spl1_1 ),
inference(resolution,[],[f237,f3]) ).
fof(f241,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f209,f239,f236]) ).
fof(f209,plain,
( ~ subclass(intersection(x,y),intersection(y,x))
| ~ subclass(intersection(y,x),intersection(x,y)) ),
inference(resolution,[],[f204,f196]) ).
fof(f196,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
| ~ subclass(X0,X1)
| ~ subclass(X1,X0) ),
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/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f204,plain,
~ sQ0_eqProxy(intersection(x,y),intersection(y,x)),
inference(equality_proxy_replacement,[],[f113,f180]) ).
fof(f113,axiom,
intersection(x,y) != intersection(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity_of_intersection_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET144-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 13:31:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % (24049)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)
% 0.20/0.48 % (24049)Refutation not found, incomplete strategy% (24049)------------------------------
% 0.20/0.48 % (24049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (24049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (24049)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (24049)Memory used [KB]: 5884
% 0.20/0.48 % (24049)Time elapsed: 0.100 s
% 0.20/0.48 % (24049)Instructions burned: 3 (million)
% 0.20/0.48 % (24049)------------------------------
% 0.20/0.48 % (24049)------------------------------
% 0.20/0.49 % (24065)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (24073)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.49 % (24073)Refutation not found, incomplete strategy% (24073)------------------------------
% 0.20/0.49 % (24073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (24065)Instruction limit reached!
% 0.20/0.49 % (24065)------------------------------
% 0.20/0.49 % (24065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (24073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (24073)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (24073)Memory used [KB]: 1407
% 0.20/0.49 % (24073)Time elapsed: 0.107 s
% 0.20/0.49 % (24073)Instructions burned: 2 (million)
% 0.20/0.49 % (24073)------------------------------
% 0.20/0.49 % (24073)------------------------------
% 0.20/0.50 % (24065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (24065)Termination reason: Unknown
% 0.20/0.50 % (24065)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (24065)Memory used [KB]: 1535
% 0.20/0.50 % (24065)Time elapsed: 0.008 s
% 0.20/0.50 % (24065)Instructions burned: 8 (million)
% 0.20/0.50 % (24065)------------------------------
% 0.20/0.50 % (24065)------------------------------
% 0.20/0.50 % (24052)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)
% 0.20/0.50 % (24053)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)
% 0.20/0.51 % (24060)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)
% 0.20/0.51 % (24051)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51 % (24055)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)
% 0.20/0.51 % (24053)Refutation not found, incomplete strategy% (24053)------------------------------
% 0.20/0.51 % (24053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (24053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (24053)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (24053)Memory used [KB]: 5884
% 0.20/0.51 % (24053)Time elapsed: 0.118 s
% 0.20/0.51 % (24053)Instructions burned: 2 (million)
% 0.20/0.51 % (24053)------------------------------
% 0.20/0.51 % (24053)------------------------------
% 0.20/0.51 % (24057)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.51 % (24054)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)
% 0.20/0.51 % (24054)Instruction limit reached!
% 0.20/0.51 % (24054)------------------------------
% 0.20/0.51 % (24054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (24054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (24054)Termination reason: Unknown
% 0.20/0.51 % (24054)Termination phase: Property scanning
% 0.20/0.51
% 0.20/0.51 % (24054)Memory used [KB]: 1407
% 0.20/0.51 % (24054)Time elapsed: 0.003 s
% 0.20/0.51 % (24054)Instructions burned: 5 (million)
% 0.20/0.51 % (24054)------------------------------
% 0.20/0.51 % (24054)------------------------------
% 0.20/0.51 % (24068)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)
% 0.20/0.52 % (24069)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)
% 0.20/0.52 % (24058)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.52 % (24074)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.52 % (24050)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52 % (24050)Refutation not found, incomplete strategy% (24050)------------------------------
% 0.20/0.52 % (24050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24050)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (24050)Memory used [KB]: 5884
% 0.20/0.52 % (24050)Time elapsed: 0.122 s
% 0.20/0.52 % (24050)Instructions burned: 1 (million)
% 0.20/0.52 % (24050)------------------------------
% 0.20/0.52 % (24050)------------------------------
% 0.20/0.52 % (24047)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)
% 0.20/0.52 % (24069)First to succeed.
% 0.20/0.52 % (24074)Refutation not found, incomplete strategy% (24074)------------------------------
% 0.20/0.52 % (24074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24069)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (24069)------------------------------
% 0.20/0.52 % (24069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24069)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (24069)Memory used [KB]: 6140
% 0.20/0.52 % (24069)Time elapsed: 0.094 s
% 0.20/0.52 % (24069)Instructions burned: 13 (million)
% 0.20/0.52 % (24069)------------------------------
% 0.20/0.52 % (24069)------------------------------
% 0.20/0.52 % (24045)Success in time 0.175 s
%------------------------------------------------------------------------------