TSTP Solution File: SET079-6 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET079-6 : 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 : n017.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 18:18:59 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 55 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 27 ~; 24 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f339,plain,
$false,
inference(avatar_sat_refutation,[],[f158,f160,f326,f337]) ).
fof(f337,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f331,plain,
( $false
| ~ spl0_19 ),
inference(resolution,[],[f317,f92]) ).
fof(f92,axiom,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_1) ).
fof(f317,plain,
( ! [X3] : ~ member(x,X3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl0_19
<=> ! [X3] : ~ member(x,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f326,plain,
( spl0_19
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f314,f151,f316]) ).
fof(f151,plain,
( spl0_1
<=> member(x,null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f314,plain,
( ! [X0] : ~ member(x,X0)
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f304]) ).
fof(f304,plain,
( ! [X0] :
( ~ member(x,X0)
| ~ member(x,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f281,f153]) ).
fof(f153,plain,
( member(x,null_class)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f281,plain,
( ! [X4,X5] :
( ~ member(X5,null_class)
| ~ member(x,X4)
| ~ member(X5,X4) )
| ~ spl0_1 ),
inference(superposition,[],[f24,f274]) ).
fof(f274,plain,
( ! [X0] :
( complement(X0) = null_class
| ~ member(x,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f270,f24]) ).
fof(f270,plain,
( ! [X0] :
( member(x,X0)
| null_class = X0 )
| ~ spl0_1 ),
inference(resolution,[],[f219,f153]) ).
fof(f219,plain,
! [X4,X5] :
( ~ member(X5,null_class)
| null_class = X4
| member(X5,X4) ),
inference(superposition,[],[f21,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f160,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f159,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f157,f92]) ).
fof(f157,plain,
( ~ member(x,universal_class)
| spl0_2 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl0_2
<=> member(x,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f158,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f149,f155,f151]) ).
fof(f149,plain,
( ~ member(x,universal_class)
| member(x,null_class) ),
inference(superposition,[],[f9,f121]) ).
fof(f121,plain,
null_class = unordered_pair(x,x),
inference(definition_unfolding,[],[f93,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f93,axiom,
null_class = singleton(x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_2) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET079-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n017.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 12:35:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (13700)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.47 % (13692)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)
% 0.20/0.48 % (13700)Instruction limit reached!
% 0.20/0.48 % (13700)------------------------------
% 0.20/0.48 % (13700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (13692)Instruction limit reached!
% 0.20/0.48 % (13692)------------------------------
% 0.20/0.48 % (13692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (13700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (13700)Termination reason: Unknown
% 0.20/0.48 % (13700)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (13700)Memory used [KB]: 1407
% 0.20/0.48 % (13700)Time elapsed: 0.007 s
% 0.20/0.48 % (13700)Instructions burned: 7 (million)
% 0.20/0.48 % (13700)------------------------------
% 0.20/0.48 % (13700)------------------------------
% 0.20/0.48 % (13692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (13692)Termination reason: Unknown
% 0.20/0.48 % (13692)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (13692)Memory used [KB]: 5884
% 0.20/0.48 % (13692)Time elapsed: 0.004 s
% 0.20/0.48 % (13692)Instructions burned: 5 (million)
% 0.20/0.48 % (13692)------------------------------
% 0.20/0.48 % (13692)------------------------------
% 0.20/0.51 % (13689)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 % (13687)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 % (13690)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51 % (13687)Refutation not found, incomplete strategy% (13687)------------------------------
% 0.20/0.51 % (13687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (13687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (13687)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (13687)Memory used [KB]: 5884
% 0.20/0.51 % (13687)Time elapsed: 0.105 s
% 0.20/0.51 % (13687)------------------------------
% 0.20/0.51 % (13687)------------------------------
% 0.20/0.51 % (13708)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)
% 0.20/0.51 % (13682)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)
% 0.20/0.51 % (13682)Instruction limit reached!
% 0.20/0.51 % (13682)------------------------------
% 0.20/0.51 % (13682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (13682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (13682)Termination reason: Unknown
% 0.20/0.51 % (13682)Termination phase: Property scanning
% 0.20/0.51
% 0.20/0.51 % (13682)Memory used [KB]: 1407
% 0.20/0.51 % (13682)Time elapsed: 0.003 s
% 0.20/0.51 % (13682)Instructions burned: 4 (million)
% 0.20/0.51 % (13682)------------------------------
% 0.20/0.51 % (13682)------------------------------
% 0.20/0.52 % (13702)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 % (13691)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)
% 0.20/0.52 % (13681)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)
% 0.20/0.53 % (13680)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53 % (13697)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (13684)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)
% 0.20/0.53 % (13686)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)
% 0.20/0.53 % (13684)Refutation not found, incomplete strategy% (13684)------------------------------
% 0.20/0.53 % (13684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (13684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13684)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (13684)Memory used [KB]: 5884
% 0.20/0.53 % (13684)Time elapsed: 0.125 s
% 0.20/0.53 % (13684)Instructions burned: 2 (million)
% 0.20/0.53 % (13684)------------------------------
% 0.20/0.53 % (13684)------------------------------
% 0.20/0.53 % (13709)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (13688)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)
% 0.20/0.53 % (13688)Instruction limit reached!
% 0.20/0.53 % (13688)------------------------------
% 0.20/0.53 % (13688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (13688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13688)Termination reason: Unknown
% 0.20/0.53 % (13688)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (13688)Memory used [KB]: 1407
% 0.20/0.53 % (13688)Time elapsed: 0.003 s
% 0.20/0.53 % (13688)Instructions burned: 3 (million)
% 0.20/0.53 % (13688)------------------------------
% 0.20/0.53 % (13688)------------------------------
% 0.20/0.53 % (13690)Instruction limit reached!
% 0.20/0.53 % (13690)------------------------------
% 0.20/0.53 % (13690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (13683)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)
% 0.20/0.53 % (13690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (13690)Termination reason: Unknown
% 0.20/0.53 % (13690)Termination phase: Equality proxy
% 0.20/0.53
% 0.20/0.53 % (13690)Memory used [KB]: 1407
% 0.20/0.53 % (13690)Time elapsed: 0.005 s
% 0.20/0.53 % (13690)Instructions burned: 6 (million)
% 0.20/0.53 % (13690)------------------------------
% 0.20/0.53 % (13690)------------------------------
% 0.20/0.53 % (13685)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (13706)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.53 % (13694)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)
% 0.20/0.53 % (13704)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)
% 0.20/0.53 % (13703)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)
% 0.20/0.54 % (13685)First to succeed.
% 0.20/0.54 % (13695)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)
% 0.20/0.54 % (13685)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (13685)------------------------------
% 0.20/0.54 % (13685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (13685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (13685)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (13685)Memory used [KB]: 6140
% 0.20/0.54 % (13685)Time elapsed: 0.137 s
% 0.20/0.54 % (13685)Instructions burned: 10 (million)
% 0.20/0.54 % (13685)------------------------------
% 0.20/0.54 % (13685)------------------------------
% 0.20/0.54 % (13679)Success in time 0.187 s
%------------------------------------------------------------------------------