TSTP Solution File: ANA003-4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA003-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 May 1 02:07:08 EDT 2024
% Result : Unsatisfiable 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 53 ( 3 unt; 0 def)
% Number of atoms : 145 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 154 ( 62 ~; 84 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f149,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f67,f70,f108,f114,f132,f144,f146,f148]) ).
fof(f148,plain,
( spl0_1
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f147,f141,f56]) ).
fof(f56,plain,
( spl0_1
<=> less_or_equal(half(epsilon_0),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f141,plain,
( spl0_15
<=> less_or_equal(delta_1(half(epsilon_0)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f147,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_15 ),
inference(resolution,[],[f143,f6]) ).
fof(f6,axiom,
! [X3] :
( ~ less_or_equal(delta_1(X3),n0)
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',clause_1) ).
fof(f143,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f146,plain,
( spl0_8
| spl0_15
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f145,f137,f141,f102]) ).
fof(f102,plain,
( spl0_8
<=> less_or_equal(delta_2(half(epsilon_0)),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f137,plain,
( spl0_14
<=> less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f145,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| less_or_equal(delta_2(half(epsilon_0)),n0)
| ~ spl0_14 ),
inference(resolution,[],[f139,f3]) ).
fof(f3,axiom,
! [X2,X1] :
( ~ less_or_equal(minimum(X1,X2),n0)
| less_or_equal(X2,n0)
| less_or_equal(X1,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',minimum9) ).
fof(f139,plain,
( less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f144,plain,
( spl0_14
| spl0_15
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f133,f130,f141,f137]) ).
fof(f130,plain,
( spl0_13
<=> ! [X0] :
( ~ less_or_equal(absolute(add(xs(minimum(delta_2(half(epsilon_0)),X0)),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X0,n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f133,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| less_or_equal(minimum(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))),n0)
| ~ spl0_13 ),
inference(resolution,[],[f131,f13]) ).
fof(f13,plain,
! [X0,X1] :
( less_or_equal(absolute(add(xs(minimum(X0,X1)),negate(a_real_number))),X1)
| less_or_equal(minimum(X0,X1),n0) ),
inference(resolution,[],[f11,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,minimum(X1,X2))
| less_or_equal(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',minimum7) ).
fof(f11,axiom,
! [X4] :
( less_or_equal(absolute(add(xs(X4),negate(a_real_number))),X4)
| less_or_equal(X4,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',clause_6) ).
fof(f131,plain,
( ! [X0] :
( ~ less_or_equal(absolute(add(xs(minimum(delta_2(half(epsilon_0)),X0)),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X0,n0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f132,plain,
( spl0_8
| spl0_13
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f128,f106,f130,f102]) ).
fof(f106,plain,
( spl0_9
<=> ! [X0] :
( ~ less_or_equal(absolute(add(xs(minimum(delta_2(half(epsilon_0)),X0)),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(minimum(delta_2(half(epsilon_0)),X0),n0)
| less_or_equal(X0,n0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f128,plain,
( ! [X0] :
( ~ less_or_equal(absolute(add(xs(minimum(delta_2(half(epsilon_0)),X0)),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X0,n0)
| less_or_equal(delta_2(half(epsilon_0)),n0) )
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f127]) ).
fof(f127,plain,
( ! [X0] :
( ~ less_or_equal(absolute(add(xs(minimum(delta_2(half(epsilon_0)),X0)),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X0,n0)
| less_or_equal(X0,n0)
| less_or_equal(delta_2(half(epsilon_0)),n0) )
| ~ spl0_9 ),
inference(resolution,[],[f107,f3]) ).
fof(f107,plain,
( ! [X0] :
( less_or_equal(minimum(delta_2(half(epsilon_0)),X0),n0)
| ~ less_or_equal(absolute(add(xs(minimum(delta_2(half(epsilon_0)),X0)),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X0,n0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f114,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f113,f102,f56]) ).
fof(f113,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_8 ),
inference(resolution,[],[f104,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ less_or_equal(delta_2(X3),n0)
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',clause_2) ).
fof(f104,plain,
( less_or_equal(delta_2(half(epsilon_0)),n0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f108,plain,
( spl0_8
| spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f95,f65,f106,f102]) ).
fof(f65,plain,
( spl0_3
<=> ! [X0] :
( less_or_equal(X0,n0)
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f95,plain,
( ! [X0] :
( ~ less_or_equal(absolute(add(xs(minimum(delta_2(half(epsilon_0)),X0)),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X0,n0)
| less_or_equal(delta_2(half(epsilon_0)),n0)
| less_or_equal(minimum(delta_2(half(epsilon_0)),X0),n0) )
| ~ spl0_3 ),
inference(resolution,[],[f71,f14]) ).
fof(f14,plain,
! [X0,X1] :
( less_or_equal(absolute(add(xs(minimum(X0,X1)),negate(a_real_number))),X0)
| less_or_equal(minimum(X0,X1),n0) ),
inference(resolution,[],[f11,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X0,minimum(X1,X2))
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',minimum3) ).
fof(f71,plain,
( ! [X0,X1] :
( ~ less_or_equal(absolute(add(xs(minimum(X0,X1)),negate(a_real_number))),delta_2(half(epsilon_0)))
| ~ less_or_equal(absolute(add(xs(minimum(X0,X1)),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X1,n0)
| less_or_equal(X0,n0) )
| ~ spl0_3 ),
inference(resolution,[],[f66,f3]) ).
fof(f66,plain,
( ! [X0] :
( less_or_equal(X0,n0)
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0))) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f70,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f69]) ).
fof(f69,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f68,f10]) ).
fof(f10,axiom,
~ less_or_equal(epsilon_0,n0),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',clause_5) ).
fof(f68,plain,
( less_or_equal(epsilon_0,n0)
| ~ spl0_1 ),
inference(resolution,[],[f58,f5]) ).
fof(f5,axiom,
! [X1] :
( ~ less_or_equal(half(X1),n0)
| less_or_equal(X1,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',zero_and_half) ).
fof(f58,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f67,plain,
( spl0_1
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f63,f60,f65,f56]) ).
fof(f60,plain,
( spl0_2
<=> ! [X0] :
( ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| less_or_equal(X0,n0)
| ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f63,plain,
( ! [X0] :
( less_or_equal(X0,n0)
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(half(epsilon_0),n0) )
| ~ spl0_2 ),
inference(resolution,[],[f61,f8]) ).
fof(f8,axiom,
! [X3,X0] :
( less_or_equal(absolute(add(f(X0),negate(f(a_real_number)))),X3)
| ~ less_or_equal(absolute(add(X0,negate(a_real_number))),delta_1(X3))
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',clause_3) ).
fof(f61,plain,
( ! [X0] :
( ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0)
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0))) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f62,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f50,f60,f56]) ).
fof(f50,plain,
! [X0] :
( ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| less_or_equal(half(epsilon_0),n0)
| ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0) ),
inference(resolution,[],[f9,f15]) ).
fof(f15,plain,
! [X0] :
( ~ less_or_equal(absolute(add(g(xs(X0)),negate(g(a_real_number)))),half(epsilon_0))
| ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0) ),
inference(resolution,[],[f4,f12]) ).
fof(f12,axiom,
! [X4] :
( ~ less_or_equal(add(absolute(add(f(xs(X4)),negate(f(a_real_number)))),absolute(add(g(xs(X4)),negate(g(a_real_number))))),epsilon_0)
| less_or_equal(X4,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',clause_7_2) ).
fof(f4,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X1,X2),X0)
| ~ less_or_equal(X2,half(X0))
| ~ less_or_equal(X1,half(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',less_or_equal_sum_of_halves) ).
fof(f9,axiom,
! [X3,X0] :
( less_or_equal(absolute(add(g(X0),negate(g(a_real_number)))),X3)
| ~ less_or_equal(absolute(add(X0,negate(a_real_number))),delta_2(X3))
| less_or_equal(X3,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678',clause_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : ANA003-4 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 16:57:36 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.11/0.32 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.8WiP5sfZoB/Vampire---4.8_4678
% 0.60/0.79 % (4792)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79 % (4790)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (4791)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79 % (4788)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79 % (4789)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.79 % (4793)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.79 % (4794)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.79 % (4795)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.79 % (4793)Refutation not found, incomplete strategy% (4793)------------------------------
% 0.60/0.79 % (4793)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (4793)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (4793)Memory used [KB]: 950
% 0.60/0.79 % (4793)Time elapsed: 0.002 s
% 0.60/0.79 % (4793)Instructions burned: 2 (million)
% 0.60/0.79 % (4793)------------------------------
% 0.60/0.79 % (4793)------------------------------
% 0.60/0.79 % (4788)Refutation not found, incomplete strategy% (4788)------------------------------
% 0.60/0.79 % (4788)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (4788)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79 % (4795)Refutation not found, incomplete strategy% (4795)------------------------------
% 0.60/0.79 % (4795)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (4795)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (4795)Memory used [KB]: 950
% 0.60/0.79 % (4795)Time elapsed: 0.002 s
% 0.60/0.79 % (4795)Instructions burned: 2 (million)
% 0.60/0.79 % (4795)------------------------------
% 0.60/0.79 % (4795)------------------------------
% 0.60/0.79
% 0.60/0.79 % (4788)Memory used [KB]: 955
% 0.60/0.79 % (4788)Time elapsed: 0.003 s
% 0.60/0.79 % (4788)Instructions burned: 2 (million)
% 0.60/0.79 % (4788)------------------------------
% 0.60/0.79 % (4788)------------------------------
% 0.60/0.79 % (4789)First to succeed.
% 0.60/0.80 % (4796)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.80 % (4792)Also succeeded, but the first one will report.
% 0.60/0.80 % (4798)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.80 % (4797)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.80 % (4789)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (4789)------------------------------
% 0.60/0.80 % (4789)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (4789)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (4789)Memory used [KB]: 1086
% 0.60/0.80 % (4789)Time elapsed: 0.006 s
% 0.60/0.80 % (4789)Instructions burned: 8 (million)
% 0.60/0.80 % (4789)------------------------------
% 0.60/0.80 % (4789)------------------------------
% 0.60/0.80 % (4786)Success in time 0.476 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------