TSTP Solution File: SET075-6 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET075-6 : 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 : n012.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 18:18:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 49 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 21 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f318,plain,
$false,
inference(avatar_sat_refutation,[],[f118,f155,f317]) ).
fof(f317,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f294,f117]) ).
fof(f117,plain,
( member(x,null_class)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl0_2
<=> member(x,null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f294,plain,
( ! [X0] : ~ member(x,X0)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f283,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f283,plain,
( ! [X0] :
( member(x,complement(X0))
| ~ member(x,X0) )
| ~ spl0_2 ),
inference(superposition,[],[f117,f243]) ).
fof(f243,plain,
( ! [X8] :
( null_class = complement(X8)
| ~ member(x,X8) )
| ~ spl0_2 ),
inference(resolution,[],[f235,f24]) ).
fof(f235,plain,
( ! [X1] :
( member(x,X1)
| null_class = X1 )
| ~ spl0_2 ),
inference(resolution,[],[f153,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f153,plain,
( ! [X0] :
( member(x,intersection(X0,regular(X0)))
| null_class = X0 )
| ~ spl0_2 ),
inference(superposition,[],[f117,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f155,plain,
spl0_1,
inference(avatar_split_clause,[],[f147,f111]) ).
fof(f111,plain,
( spl0_1
<=> member(x,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f147,plain,
member(x,universal_class),
inference(resolution,[],[f108,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f108,plain,
! [X0] :
( ~ subclass(u,X0)
| member(x,X0) ),
inference(resolution,[],[f101,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f101,plain,
member(x,u),
inference(resolution,[],[f92,f14]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f92,axiom,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_1) ).
fof(f118,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f98,f115,f111]) ).
fof(f98,plain,
( member(x,null_class)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f93]) ).
fof(f93,axiom,
null_class = unordered_pair(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_2) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET075-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:08:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (878)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)
% 0.19/0.50 % (889)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)
% 0.19/0.51 % (886)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 % (878)Instruction limit reached!
% 0.19/0.51 % (878)------------------------------
% 0.19/0.51 % (878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (878)Termination reason: Unknown
% 0.19/0.51 % (878)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (878)Memory used [KB]: 1407
% 0.19/0.51 % (878)Time elapsed: 0.005 s
% 0.19/0.51 % (878)Instructions burned: 4 (million)
% 0.19/0.51 % (878)------------------------------
% 0.19/0.51 % (878)------------------------------
% 0.19/0.51 % (886)Refutation not found, incomplete strategy% (886)------------------------------
% 0.19/0.51 % (886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (886)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (886)Memory used [KB]: 5884
% 0.19/0.51 % (886)Time elapsed: 0.103 s
% 0.19/0.51 % (886)Instructions burned: 2 (million)
% 0.19/0.51 % (886)------------------------------
% 0.19/0.51 % (886)------------------------------
% 0.19/0.51 % (870)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (864)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52 % (869)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)
% 0.19/0.53 % (887)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)
% 0.19/0.53 % (895)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)
% 0.19/0.53 % (865)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)
% 0.19/0.53 % (871)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)
% 0.19/0.53 % (894)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)
% 0.19/0.54 % (877)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)
% 0.19/0.54 % (877)Instruction limit reached!
% 0.19/0.54 % (877)------------------------------
% 0.19/0.54 % (877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (877)Termination reason: Unknown
% 0.19/0.54 % (877)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (877)Memory used [KB]: 6012
% 0.19/0.54 % (877)Time elapsed: 0.003 s
% 0.19/0.54 % (877)Instructions burned: 5 (million)
% 0.19/0.54 % (877)------------------------------
% 0.19/0.54 % (877)------------------------------
% 0.19/0.54 % (881)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (881)Instruction limit reached!
% 0.19/0.54 % (881)------------------------------
% 0.19/0.54 % (881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (881)Termination reason: Unknown
% 0.19/0.54 % (881)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (881)Memory used [KB]: 1407
% 0.19/0.54 % (881)Time elapsed: 0.002 s
% 0.19/0.54 % (881)Instructions burned: 3 (million)
% 0.19/0.54 % (881)------------------------------
% 0.19/0.54 % (881)------------------------------
% 0.19/0.54 % (880)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)
% 0.19/0.54 % (879)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)
% 0.19/0.54 % (885)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)
% 0.19/0.54 % (888)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)
% 0.19/0.54 % (868)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)
% 0.19/0.54 % (873)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)
% 0.19/0.54 % (885)Instruction limit reached!
% 0.19/0.54 % (885)------------------------------
% 0.19/0.54 % (885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (890)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.54 % (876)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)
% 0.19/0.55 % (874)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)
% 0.19/0.55 % (890)Refutation not found, incomplete strategy% (890)------------------------------
% 0.19/0.55 % (890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (885)Termination reason: Unknown
% 0.19/0.55 % (885)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (885)Memory used [KB]: 1407
% 0.19/0.55 % (885)Time elapsed: 0.003 s
% 0.19/0.55 % (885)Instructions burned: 6 (million)
% 0.19/0.55 % (885)------------------------------
% 0.19/0.55 % (885)------------------------------
% 0.19/0.55 % (891)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)
% 0.19/0.55 % (866)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)
% 0.19/0.55 % (895)First to succeed.
% 0.19/0.55 % (873)Instruction limit reached!
% 0.19/0.55 % (873)------------------------------
% 0.19/0.55 % (873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (875)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)
% 0.19/0.55 % (882)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.55 % (873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (873)Termination reason: Unknown
% 0.19/0.55 % (873)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (873)Memory used [KB]: 1407
% 0.19/0.55 % (873)Time elapsed: 0.004 s
% 0.19/0.55 % (873)Instructions burned: 5 (million)
% 0.19/0.55 % (873)------------------------------
% 0.19/0.55 % (873)------------------------------
% 0.19/0.55 % (866)Instruction limit reached!
% 0.19/0.55 % (866)------------------------------
% 0.19/0.55 % (866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (866)Termination reason: Unknown
% 0.19/0.55 % (866)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (866)Memory used [KB]: 1407
% 0.19/0.55 % (866)Time elapsed: 0.005 s
% 0.19/0.55 % (866)Instructions burned: 7 (million)
% 0.19/0.55 % (866)------------------------------
% 0.19/0.55 % (866)------------------------------
% 0.19/0.55 % (893)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)
% 0.19/0.56 % (883)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.56 % (884)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)
% 0.19/0.56 % (893)Refutation not found, incomplete strategy% (893)------------------------------
% 0.19/0.56 % (893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (870)Instruction limit reached!
% 0.19/0.56 % (870)------------------------------
% 0.19/0.56 % (870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (872)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)
% 0.19/0.56 % (895)Refutation found. Thanks to Tanya!
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.56 % (895)------------------------------
% 0.19/0.56 % (895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (895)Termination reason: Refutation
% 0.19/0.56
% 0.19/0.56 % (895)Memory used [KB]: 6140
% 0.19/0.56 % (895)Time elapsed: 0.159 s
% 0.19/0.56 % (895)Instructions burned: 7 (million)
% 0.19/0.56 % (895)------------------------------
% 0.19/0.56 % (895)------------------------------
% 0.19/0.56 % (861)Success in time 0.207 s
%------------------------------------------------------------------------------