TSTP Solution File: ANA017-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA017-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n016.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 : Sun May 5 04:30:48 EDT 2024
% Result : Unsatisfiable 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 75 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 78 ( 38 ~; 37 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f183,plain,
$false,
inference(avatar_sat_refutation,[],[f27,f31,f66,f181]) ).
fof(f181,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f76,f34]) ).
fof(f34,plain,
! [X0,X1] : ~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(c_times(X0,X1,t_b))),t_b),t_b),c_times(X0,c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(X0,X1,t_b))),t_b),t_b),t_b),t_b),
inference(superposition,[],[f2,f28]) ).
fof(f28,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_b),X2,t_b) = c_times(X0,c_times(X1,X2,t_b),t_b),
inference(resolution,[],[f11,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/tmp/tmp.lQksg1eUrN/Vampire---4.8_5180',tfree_tcs) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_times(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_times(X1,X3,X2),X2) ),
inference(resolution,[],[f5,f8]) ).
fof(f8,axiom,
! [X5] :
( class_OrderedGroup_Osemigroup__mult(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/tmp/tmp.lQksg1eUrN/Vampire---4.8_5180',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(f5,axiom,
! [X2,X3,X1,X4] :
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.lQksg1eUrN/Vampire---4.8_5180',cls_OrderedGroup_Omult__ac__1_0) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(c_HOL_Oabs(c_times(v_c,v_b(v_x(X0)),t_b),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.lQksg1eUrN/Vampire---4.8_5180',cls_conjecture_1) ).
fof(f76,plain,
( ! [X0,X1] : c_lessequals(c_HOL_Oabs(c_times(X0,v_b(X1),t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b),t_b)
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f68,f1]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_b(X0),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.lQksg1eUrN/Vampire---4.8_5180',cls_conjecture_0) ).
fof(f68,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_HOL_Oabs(X0,t_b),X1,t_b)
| c_lessequals(c_HOL_Oabs(c_times(X2,X0,t_b),t_b),c_times(c_HOL_Oabs(X2,t_b),X1,t_b),t_b) )
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f67,f58]) ).
fof(f58,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_4
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f67,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_HOL_Oabs(X0,t_b),X1,t_b)
| c_lessequals(c_HOL_Oabs(c_times(X2,X0,t_b),t_b),c_times(c_HOL_Oabs(X2,t_b),X1,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) )
| ~ spl0_3 ),
inference(resolution,[],[f26,f4]) ).
fof(f4,axiom,
! [X2,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.lQksg1eUrN/Vampire---4.8_5180',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f26,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b)
| c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),X2,t_b),t_b) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_3
<=> ! [X2,X0,X1] :
( c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),X2,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f66,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f65,plain,
( $false
| spl0_4 ),
inference(subsumption_resolution,[],[f64,f3]) ).
fof(f64,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_4 ),
inference(resolution,[],[f59,f10]) ).
fof(f10,axiom,
! [X5] :
( class_OrderedGroup_Olordered__ab__group__abs(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/tmp/tmp.lQksg1eUrN/Vampire---4.8_5180',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f59,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f31,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f30]) ).
fof(f30,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f29,f3]) ).
fof(f29,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_1 ),
inference(resolution,[],[f19,f9]) ).
fof(f9,axiom,
! [X5] :
( class_Ring__and__Field_Opordered__semiring(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/tmp/tmp.lQksg1eUrN/Vampire---4.8_5180',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f19,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl0_1
<=> class_Ring__and__Field_Opordered__semiring(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f27,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f25,f17]) ).
fof(f15,plain,
! [X2,X0,X1] :
( c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),X2,t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(X1,t_b),X2,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
inference(superposition,[],[f7,f12]) ).
fof(f12,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
inference(resolution,[],[f6,f3]) ).
fof(f6,axiom,
! [X2,X3,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.lQksg1eUrN/Vampire---4.8_5180',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f7,axiom,
! [X2,X3,X1,X4] :
( c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1)
| ~ c_lessequals(c_0,X4,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.lQksg1eUrN/Vampire---4.8_5180',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA017-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 15:30:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.35 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.lQksg1eUrN/Vampire---4.8_5180
% 0.55/0.73 % (5578)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 (2996ds/56Mi)
% 0.55/0.73 % (5578)Refutation not found, incomplete strategy% (5578)------------------------------
% 0.55/0.73 % (5578)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (5578)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73
% 0.55/0.73 % (5578)Memory used [KB]: 950
% 0.55/0.73 % (5578)Time elapsed: 0.001 s
% 0.55/0.73 % (5578)Instructions burned: 2 (million)
% 0.55/0.73 % (5578)------------------------------
% 0.55/0.73 % (5578)------------------------------
% 0.55/0.73 % (5571)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 (2996ds/34Mi)
% 0.55/0.73 % (5574)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.73 % (5572)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 (2996ds/51Mi)
% 0.55/0.73 % (5573)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73 % (5576)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.73 % (5577)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 (2996ds/83Mi)
% 0.55/0.73 % (5575)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 (2996ds/34Mi)
% 0.55/0.74 % (5574)Refutation not found, incomplete strategy% (5574)------------------------------
% 0.55/0.74 % (5574)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (5574)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (5574)Memory used [KB]: 950
% 0.55/0.74 % (5574)Time elapsed: 0.002 s
% 0.55/0.74 % (5576)Refutation not found, incomplete strategy% (5576)------------------------------
% 0.55/0.74 % (5576)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (5574)Instructions burned: 2 (million)
% 0.55/0.74 % (5576)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (5576)Memory used [KB]: 950
% 0.55/0.74 % (5576)Time elapsed: 0.002 s
% 0.55/0.74 % (5576)Instructions burned: 2 (million)
% 0.55/0.74 % (5577)Refutation not found, incomplete strategy% (5577)------------------------------
% 0.55/0.74 % (5577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (5577)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (5577)Memory used [KB]: 951
% 0.55/0.74 % (5577)Time elapsed: 0.002 s
% 0.55/0.74 % (5574)------------------------------
% 0.55/0.74 % (5574)------------------------------
% 0.55/0.74 % (5571)Refutation not found, incomplete strategy% (5571)------------------------------
% 0.55/0.74 % (5571)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (5577)Instructions burned: 2 (million)
% 0.55/0.74 % (5571)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74 % (5575)Refutation not found, incomplete strategy% (5575)------------------------------
% 0.55/0.74 % (5575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (5575)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (5575)Memory used [KB]: 956
% 0.55/0.74 % (5575)Time elapsed: 0.002 s
% 0.55/0.74 % (5575)Instructions burned: 2 (million)
% 0.55/0.74 % (5576)------------------------------
% 0.55/0.74 % (5576)------------------------------
% 0.55/0.74
% 0.55/0.74 % (5571)Memory used [KB]: 965
% 0.55/0.74 % (5571)Time elapsed: 0.003 s
% 0.55/0.74 % (5571)Instructions burned: 2 (million)
% 0.55/0.74 % (5577)------------------------------
% 0.55/0.74 % (5577)------------------------------
% 0.55/0.74 % (5575)------------------------------
% 0.55/0.74 % (5575)------------------------------
% 0.55/0.74 % (5571)------------------------------
% 0.55/0.74 % (5571)------------------------------
% 0.55/0.74 % (5579)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 (2996ds/55Mi)
% 0.55/0.74 % (5581)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 (2996ds/208Mi)
% 0.55/0.74 % (5580)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 (2996ds/50Mi)
% 0.55/0.74 % (5583)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.55/0.74 % (5584)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.55/0.74 % (5581)Refutation not found, incomplete strategy% (5581)------------------------------
% 0.55/0.74 % (5581)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (5581)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (5581)Memory used [KB]: 956
% 0.55/0.74 % (5581)Time elapsed: 0.003 s
% 0.55/0.74 % (5581)Instructions burned: 2 (million)
% 0.55/0.74 % (5584)Refutation not found, incomplete strategy% (5584)------------------------------
% 0.55/0.74 % (5584)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (5581)------------------------------
% 0.55/0.74 % (5581)------------------------------
% 0.55/0.74 % (5584)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (5584)Memory used [KB]: 955
% 0.55/0.74 % (5582)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.55/0.74 % (5584)Time elapsed: 0.003 s
% 0.55/0.74 % (5584)Instructions burned: 2 (million)
% 0.55/0.74 % (5584)------------------------------
% 0.55/0.74 % (5584)------------------------------
% 0.55/0.74 % (5573)First to succeed.
% 0.55/0.74 % (5583)Also succeeded, but the first one will report.
% 0.55/0.74 % (5573)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5463"
% 0.55/0.75 % (5573)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (5573)------------------------------
% 0.55/0.75 % (5573)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (5573)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (5573)Memory used [KB]: 1095
% 0.55/0.75 % (5573)Time elapsed: 0.011 s
% 0.55/0.75 % (5573)Instructions burned: 14 (million)
% 0.55/0.75 % (5463)Success in time 0.384 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------