TSTP Solution File: ANA029-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA029-2 : 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 : n020.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 02:07:22 EDT 2024
% Result : Unsatisfiable 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 58 ( 7 unt; 0 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 147 ( 69 ~; 71 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 8 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,plain,
$false,
inference(avatar_sat_refutation,[],[f27,f31,f50,f69,f86,f91,f100,f105]) ).
fof(f105,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f104]) ).
fof(f104,plain,
( $false
| spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f101,f81]) ).
fof(f81,plain,
( class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl0_7
<=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f101,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_6 ),
inference(resolution,[],[f68,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f68,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| spl0_6 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_6
<=> c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f100,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| ~ spl0_2
| spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f85,f88]) ).
fof(f88,plain,
( c_lessequals(c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),c_minus(v_f(v_x),v_k(v_x),t_b),t_b)
| ~ spl0_2
| spl0_5 ),
inference(resolution,[],[f64,f26]) ).
fof(f26,plain,
( ! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_2
<=> ! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f64,plain,
( ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| spl0_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_5
<=> c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f85,plain,
( ! [X0] : ~ c_lessequals(c_HOL_Oabs(X0,t_b),c_minus(v_f(v_x),v_k(v_x),t_b),t_b)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_8
<=> ! [X0] : ~ c_lessequals(c_HOL_Oabs(X0,t_b),c_minus(v_f(v_x),v_k(v_x),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f91,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f90]) ).
fof(f90,plain,
( $false
| spl0_7 ),
inference(subsumption_resolution,[],[f89,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',tfree_tcs) ).
fof(f89,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_7 ),
inference(resolution,[],[f82,f13]) ).
fof(f13,axiom,
! [X7] :
( class_OrderedGroup_Olordered__ab__group__abs(X7)
| ~ class_Ring__and__Field_Oordered__idom(X7) ),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f82,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f86,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f74,f40,f84,f80]) ).
fof(f40,plain,
( spl0_3
<=> class_OrderedGroup_Opordered__ab__group__add(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f74,plain,
( ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(X0,t_b),c_minus(v_f(v_x),v_k(v_x),t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) )
| ~ spl0_3 ),
inference(resolution,[],[f70,f4]) ).
fof(f70,plain,
( ! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(X0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b) )
| ~ spl0_3 ),
inference(resolution,[],[f52,f1]) ).
fof(f1,axiom,
~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',cls_conjecture_2) ).
fof(f52,plain,
( ! [X2,X0,X1] :
( c_lessequals(X2,X1,t_b)
| ~ c_lessequals(X0,X1,t_b)
| ~ c_lessequals(X2,X0,t_b) )
| ~ spl0_3 ),
inference(resolution,[],[f41,f28]) ).
fof(f28,plain,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(X1,X3,X2)
| c_lessequals(X0,X3,X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f9,f11]) ).
fof(f11,axiom,
! [X7] :
( class_Orderings_Oorder(X7)
| ~ class_OrderedGroup_Opordered__ab__group__add(X7) ),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',clsrel_OrderedGroup_Opordered__ab__group__add_10) ).
fof(f9,axiom,
! [X3,X0,X6,X4] :
( ~ class_Orderings_Oorder(X0)
| ~ c_lessequals(X4,X3,X0)
| ~ c_lessequals(X3,X6,X0)
| c_lessequals(X4,X6,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f41,plain,
( class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f69,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f60,f21,f66,f62]) ).
fof(f21,plain,
( spl0_1
<=> class_Orderings_Olinorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f60,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ spl0_1 ),
inference(resolution,[],[f33,f2]) ).
fof(f2,axiom,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',cls_conjecture_3) ).
fof(f33,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_Orderings_Omax(X0,X2,t_b),X1,t_b)
| ~ c_lessequals(X2,X1,t_b)
| ~ c_lessequals(X0,X1,t_b) )
| ~ spl0_1 ),
inference(resolution,[],[f22,f8]) ).
fof(f8,axiom,
! [X3,X6,X4,X5] :
( ~ class_Orderings_Olinorder(X5)
| ~ c_lessequals(X4,X6,X5)
| ~ c_lessequals(X3,X6,X5)
| c_lessequals(c_Orderings_Omax(X4,X3,X5),X6,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f22,plain,
( class_Orderings_Olinorder(t_b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f50,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f49]) ).
fof(f49,plain,
( $false
| spl0_3 ),
inference(subsumption_resolution,[],[f48,f3]) ).
fof(f48,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_3 ),
inference(resolution,[],[f42,f14]) ).
fof(f14,axiom,
! [X7] :
( class_OrderedGroup_Opordered__ab__group__add(X7)
| ~ class_Ring__and__Field_Oordered__idom(X7) ),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f42,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
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,[],[f23,f12]) ).
fof(f12,axiom,
! [X7] :
( class_Orderings_Olinorder(X7)
| ~ class_Ring__and__Field_Oordered__idom(X7) ),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f23,plain,
( ~ class_Orderings_Olinorder(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f27,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f25,f21]) ).
fof(f19,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(resolution,[],[f17,f7]) ).
fof(f7,axiom,
! [X3,X0,X4] :
( c_less(X3,X4,X0)
| c_lessequals(X4,X3,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',cls_Orderings_Olinorder__not__le_0) ).
fof(f17,plain,
! [X0,X1] :
( ~ c_less(X0,X1,t_b)
| c_lessequals(X0,X1,t_b) ),
inference(resolution,[],[f16,f3]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_less(X0,X1,X2)
| c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f15,f14]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| c_lessequals(X0,X1,X2)
| ~ c_less(X0,X1,X2) ),
inference(resolution,[],[f10,f11]) ).
fof(f10,axiom,
! [X3,X0,X4] :
( ~ class_Orderings_Oorder(X0)
| ~ c_less(X4,X3,X0)
| c_lessequals(X4,X3,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.LkntG1jMe4/Vampire---4.8_12794',cls_Orderings_Oorder__less__imp__le_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA029-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % 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
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 16:57:16 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.12/0.33 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.LkntG1jMe4/Vampire---4.8_12794
% 0.61/0.82 % (12908)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)
% 0.61/0.82 % (12907)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)
% 0.61/0.82 % (12906)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82 % (12905)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)
% 0.61/0.82 % (12909)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)
% 0.61/0.82 % (12910)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)
% 0.61/0.82 % (12911)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)
% 0.61/0.82 % (12909)Refutation not found, incomplete strategy% (12909)------------------------------
% 0.61/0.82 % (12909)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (12909)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (12909)Memory used [KB]: 966
% 0.61/0.82 % (12909)Time elapsed: 0.002 s
% 0.61/0.82 % (12909)Instructions burned: 2 (million)
% 0.61/0.82 % (12909)------------------------------
% 0.61/0.82 % (12909)------------------------------
% 0.61/0.82 % (12904)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)
% 0.61/0.82 % (12911)Refutation not found, incomplete strategy% (12911)------------------------------
% 0.61/0.82 % (12911)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (12911)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (12911)Memory used [KB]: 949
% 0.61/0.82 % (12911)Time elapsed: 0.002 s
% 0.61/0.82 % (12911)Instructions burned: 2 (million)
% 0.61/0.82 % (12911)------------------------------
% 0.61/0.82 % (12911)------------------------------
% 0.61/0.82 % (12904)Refutation not found, incomplete strategy% (12904)------------------------------
% 0.61/0.82 % (12904)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (12904)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (12904)Memory used [KB]: 978
% 0.61/0.82 % (12904)Time elapsed: 0.002 s
% 0.61/0.82 % (12904)Instructions burned: 2 (million)
% 0.61/0.82 % (12904)------------------------------
% 0.61/0.82 % (12904)------------------------------
% 0.61/0.82 % (12906)First to succeed.
% 0.61/0.82 % (12910)Also succeeded, but the first one will report.
% 0.61/0.82 % (12906)Refutation found. Thanks to Tanya!
% 0.61/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82 % (12906)------------------------------
% 0.61/0.82 % (12906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (12906)Termination reason: Refutation
% 0.61/0.82
% 0.61/0.82 % (12906)Memory used [KB]: 1002
% 0.61/0.82 % (12906)Time elapsed: 0.005 s
% 0.61/0.82 % (12906)Instructions burned: 6 (million)
% 0.61/0.82 % (12906)------------------------------
% 0.61/0.82 % (12906)------------------------------
% 0.61/0.82 % (12903)Success in time 0.483 s
% 0.61/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------