TSTP Solution File: ANA018-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA018-2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 02:07:18 EDT 2024
% Result : Unsatisfiable 0.63s 0.82s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 48 ( 13 unt; 0 def)
% Number of atoms : 100 ( 1 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 96 ( 44 ~; 45 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,plain,
$false,
inference(avatar_sat_refutation,[],[f27,f38,f44,f56,f77,f79,f93,f95]) ).
fof(f95,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f94,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f51,f14]) ).
fof(f14,plain,
class_OrderedGroup_Osemigroup__mult(t_b),
inference(resolution,[],[f11,f5]) ).
fof(f5,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',tfree_tcs) ).
fof(f11,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_OrderedGroup_Osemigroup__mult(X8) ),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',clsrel_Ring__and__Field_Oordered__idom_21) ).
fof(f51,plain,
( ~ class_OrderedGroup_Osemigroup__mult(t_b)
| spl0_6 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_6
<=> class_OrderedGroup_Osemigroup__mult(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f93,plain,
( spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f91,plain,
( $false
| spl0_7
| ~ spl0_11 ),
inference(resolution,[],[f85,f1]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_g(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',cls_conjecture_1) ).
fof(f85,plain,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_xa),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b)
| spl0_7
| ~ spl0_11 ),
inference(resolution,[],[f76,f55]) ).
fof(f55,plain,
( ~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),t_b)
| spl0_7 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_7
<=> c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f76,plain,
( ! [X0,X1] :
( c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,X1,t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(X0),t_b),X1,t_b) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl0_11
<=> ! [X0,X1] :
( ~ c_lessequals(c_HOL_Oabs(v_f(X0),t_b),X1,t_b)
| c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,X1,t_b),t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f79,plain,
spl0_8,
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| spl0_8 ),
inference(resolution,[],[f65,f16]) ).
fof(f16,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f13,f5]) ).
fof(f13,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_Ring__and__Field_Opordered__semiring(X8) ),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f65,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| spl0_8 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_8
<=> class_Ring__and__Field_Opordered__semiring(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f77,plain,
( ~ spl0_8
| spl0_11
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f58,f36,f24,f75,f63]) ).
fof(f24,plain,
( spl0_2
<=> c_lessequals(c_0,v_ca,t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f36,plain,
( spl0_4
<=> ! [X0,X1] :
( c_lessequals(c_HOL_Oabs(v_x(X0),t_b),X1,t_b)
| ~ c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),X1,t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f58,plain,
( ! [X0,X1] :
( ~ c_lessequals(c_0,v_ca,t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(X0),t_b),X1,t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,X1,t_b),t_b) )
| ~ spl0_4 ),
inference(resolution,[],[f9,f37]) ).
fof(f37,plain,
( ! [X0,X1] :
( ~ c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),X1,t_b)
| c_lessequals(c_HOL_Oabs(v_x(X0),t_b),X1,t_b) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f9,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/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
fof(f56,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f46,f53,f49]) ).
fof(f46,plain,
( ~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),t_b)
| ~ class_OrderedGroup_Osemigroup__mult(t_b) ),
inference(superposition,[],[f4,f6]) ).
fof(f6,axiom,
! [X2,X3,X1,X4] :
( c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1)
| ~ class_OrderedGroup_Osemigroup__mult(X1) ),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',cls_OrderedGroup_Omult__ac__1_0) ).
fof(f4,axiom,
~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',cls_conjecture_4) ).
fof(f44,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f43]) ).
fof(f43,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f22,f17]) ).
fof(f17,plain,
class_Orderings_Oorder(t_b),
inference(resolution,[],[f10,f15]) ).
fof(f15,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(resolution,[],[f12,f5]) ).
fof(f12,axiom,
! [X8] :
( ~ class_Ring__and__Field_Oordered__idom(X8)
| class_LOrder_Ojoin__semilorder(X8) ),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f10,axiom,
! [X8] :
( ~ class_LOrder_Ojoin__semilorder(X8)
| class_Orderings_Oorder(X8) ),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f22,plain,
( ~ class_Orderings_Oorder(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f20,plain,
( spl0_1
<=> class_Orderings_Oorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f38,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f29,f36,f20]) ).
fof(f29,plain,
! [X0,X1] :
( c_lessequals(c_HOL_Oabs(v_x(X0),t_b),X1,t_b)
| ~ c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),X1,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_x(X0),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',cls_conjecture_3) ).
fof(f7,axiom,
! [X1,X6,X7,X5] :
( ~ c_lessequals(X7,X5,X1)
| c_lessequals(X7,X6,X1)
| ~ c_lessequals(X5,X6,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f27,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f24,f20]) ).
fof(f18,plain,
( c_lessequals(c_0,v_ca,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(resolution,[],[f8,f2]) ).
fof(f2,axiom,
c_less(c_0,v_ca,t_b),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',cls_conjecture_2) ).
fof(f8,axiom,
! [X1,X7,X5] :
( ~ c_less(X7,X5,X1)
| c_lessequals(X7,X5,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673',cls_Orderings_Oorder__less__imp__le_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA018-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33 % Computer : n021.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 17:03:10 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.12/0.33 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.TFbVoam7sc/Vampire---4.8_12673
% 0.63/0.82 % (12788)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)
% 0.63/0.82 % (12791)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)
% 0.63/0.82 % (12790)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)
% 0.63/0.82 % (12787)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)
% 0.63/0.82 % (12789)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.82 % (12794)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)
% 0.63/0.82 % (12792)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)
% 0.63/0.82 % (12793)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)
% 0.63/0.82 % (12794)Refutation not found, incomplete strategy% (12794)------------------------------
% 0.63/0.82 % (12794)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (12790)Refutation not found, incomplete strategy% (12790)------------------------------
% 0.63/0.82 % (12790)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (12792)Refutation not found, incomplete strategy% (12792)------------------------------
% 0.63/0.82 % (12792)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (12790)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82
% 0.63/0.82 % (12792)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82
% 0.63/0.82 % (12790)Memory used [KB]: 951
% 0.63/0.82 % (12792)Memory used [KB]: 952
% 0.63/0.82 % (12792)Time elapsed: 0.002 s
% 0.63/0.82 % (12790)Time elapsed: 0.003 s
% 0.63/0.82 % (12792)Instructions burned: 2 (million)
% 0.63/0.82 % (12790)Instructions burned: 2 (million)
% 0.63/0.82 % (12787)Refutation not found, incomplete strategy% (12787)------------------------------
% 0.63/0.82 % (12787)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (12792)------------------------------
% 0.63/0.82 % (12792)------------------------------
% 0.63/0.82 % (12790)------------------------------
% 0.63/0.82 % (12790)------------------------------
% 0.63/0.82 % (12787)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82
% 0.63/0.82 % (12787)Memory used [KB]: 953
% 0.63/0.82 % (12787)Time elapsed: 0.003 s
% 0.63/0.82 % (12787)Instructions burned: 2 (million)
% 0.63/0.82 % (12787)------------------------------
% 0.63/0.82 % (12787)------------------------------
% 0.63/0.82 % (12794)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82
% 0.63/0.82 % (12794)Memory used [KB]: 952
% 0.63/0.82 % (12794)Time elapsed: 0.002 s
% 0.63/0.82 % (12794)Instructions burned: 2 (million)
% 0.63/0.82 % (12794)------------------------------
% 0.63/0.82 % (12794)------------------------------
% 0.63/0.82 % (12788)First to succeed.
% 0.63/0.82 % (12789)Also succeeded, but the first one will report.
% 0.63/0.82 % (12788)Refutation found. Thanks to Tanya!
% 0.63/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.63/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82 % (12788)------------------------------
% 0.63/0.82 % (12788)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (12788)Termination reason: Refutation
% 0.63/0.82
% 0.63/0.82 % (12788)Memory used [KB]: 1077
% 0.63/0.82 % (12788)Time elapsed: 0.005 s
% 0.63/0.82 % (12788)Instructions burned: 5 (million)
% 0.63/0.82 % (12788)------------------------------
% 0.63/0.82 % (12788)------------------------------
% 0.63/0.82 % (12783)Success in time 0.486 s
% 0.63/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------