TSTP Solution File: ANA025-2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA025-2 : 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 : n026.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 04:30:52 EDT 2024
% Result : Unsatisfiable 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 48 ( 8 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 129 ( 63 ~; 61 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f122,plain,
$false,
inference(avatar_sat_refutation,[],[f30,f49,f63,f69,f87,f117]) ).
fof(f117,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f111,f108]) ).
fof(f108,plain,
( ~ c_less(c_minus(v_k(v_x),v_g(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
| spl0_8 ),
inference(subsumption_resolution,[],[f105,f20]) ).
fof(f20,plain,
( class_Orderings_Oorder(t_b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl0_1
<=> class_Orderings_Oorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f105,plain,
( ~ c_less(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ class_Orderings_Oorder(t_b)
| spl0_8 ),
inference(resolution,[],[f62,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( c_lessequals(X3,X2,X0)
| ~ c_less(X3,X2,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.F6lmteYrki/Vampire---4.8_26806',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f62,plain,
( ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| spl0_8 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_8
<=> c_lessequals(c_minus(v_k(v_x),v_g(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_8])]) ).
fof(f111,plain,
( c_less(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[],[f102,f57]) ).
fof(f57,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_7 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl0_7
<=> 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_7])]) ).
fof(f102,plain,
( ! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| c_less(c_minus(v_k(v_x),v_g(v_x),t_b),X0,t_b) )
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f98,f33]) ).
fof(f33,plain,
( class_Orderings_Olinorder(t_b)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_4
<=> class_Orderings_Olinorder(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f98,plain,
( ! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| c_less(c_minus(v_k(v_x),v_g(v_x),t_b),X0,t_b)
| ~ class_Orderings_Olinorder(t_b) )
| ~ spl0_3 ),
inference(resolution,[],[f29,f2]) ).
fof(f2,axiom,
! [X2,X3,X0] :
( c_lessequals(X3,X2,X0)
| c_less(X2,X3,X0)
| ~ class_Orderings_Olinorder(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.F6lmteYrki/Vampire---4.8_26806',cls_Orderings_Olinorder__not__le_0) ).
fof(f29,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)
| ~ c_lessequals(c_0,X0,t_b) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_3
<=> ! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(X0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f87,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f86,plain,
( $false
| spl0_7 ),
inference(subsumption_resolution,[],[f82,f13]) ).
fof(f13,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f12,f11]) ).
fof(f11,axiom,
! [X6] :
( class_OrderedGroup_Olordered__ab__group__abs(X6)
| ~ class_Ring__and__Field_Oordered__idom(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.F6lmteYrki/Vampire---4.8_26806',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f12,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/tmp/tmp.F6lmteYrki/Vampire---4.8_26806',tfree_tcs) ).
fof(f82,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_7 ),
inference(resolution,[],[f58,f1]) ).
fof(f1,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.F6lmteYrki/Vampire---4.8_26806',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f58,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_7 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f69,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f67,f13]) ).
fof(f67,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| spl0_1 ),
inference(resolution,[],[f46,f9]) ).
fof(f9,axiom,
! [X6] :
( class_LOrder_Ojoin__semilorder(X6)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.F6lmteYrki/Vampire---4.8_26806',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
fof(f46,plain,
( ~ class_LOrder_Ojoin__semilorder(t_b)
| spl0_1 ),
inference(resolution,[],[f21,f8]) ).
fof(f8,axiom,
! [X6] :
( class_Orderings_Oorder(X6)
| ~ class_LOrder_Ojoin__semilorder(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.F6lmteYrki/Vampire---4.8_26806',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f21,plain,
( ~ class_Orderings_Oorder(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f63,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f42,f60,f56,f32]) ).
fof(f42,plain,
( ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
! [X2,X3,X4,X5] :
( c_lessequals(c_Orderings_Omax(X3,X2,X4),X5,X4)
| ~ c_lessequals(X3,X5,X4)
| ~ c_lessequals(X2,X5,X4)
| ~ class_Orderings_Olinorder(X4) ),
file('/export/starexec/sandbox2/tmp/tmp.F6lmteYrki/Vampire---4.8_26806',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f7,axiom,
~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(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.F6lmteYrki/Vampire---4.8_26806',cls_conjecture_3) ).
fof(f49,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f48]) ).
fof(f48,plain,
( $false
| spl0_4 ),
inference(subsumption_resolution,[],[f47,f12]) ).
fof(f47,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_4 ),
inference(resolution,[],[f34,f10]) ).
fof(f10,axiom,
! [X6] :
( class_Orderings_Olinorder(X6)
| ~ class_Ring__and__Field_Oordered__idom(X6) ),
file('/export/starexec/sandbox2/tmp/tmp.F6lmteYrki/Vampire---4.8_26806',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f34,plain,
( ~ class_Orderings_Olinorder(t_b)
| spl0_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f30,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f16,f28,f19]) ).
fof(f16,plain,
! [X0] :
( ~ c_lessequals(c_0,X0,t_b)
| ~ c_lessequals(X0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(resolution,[],[f6,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X5] :
( c_lessequals(X3,X5,X0)
| ~ c_lessequals(X3,X2,X0)
| ~ c_lessequals(X2,X5,X0)
| ~ class_Orderings_Oorder(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.F6lmteYrki/Vampire---4.8_26806',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f6,axiom,
~ c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.F6lmteYrki/Vampire---4.8_26806',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ANA025-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % 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
% 0.15/0.37 % Computer : n026.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 15:33:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.37 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.F6lmteYrki/Vampire---4.8_26806
% 0.60/0.77 % (26974)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)
% 0.60/0.77 % (26976)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.77 % (26977)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)
% 0.60/0.77 % (26975)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)
% 0.60/0.77 % (26978)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)
% 0.60/0.77 % (26979)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)
% 0.60/0.77 % (26974)Refutation not found, incomplete strategy% (26974)------------------------------
% 0.60/0.77 % (26974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26974)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (26974)Memory used [KB]: 965
% 0.60/0.77 % (26974)Time elapsed: 0.002 s
% 0.60/0.77 % (26974)Instructions burned: 2 (million)
% 0.60/0.77 % (26974)------------------------------
% 0.60/0.77 % (26974)------------------------------
% 0.60/0.77 % (26979)Refutation not found, incomplete strategy% (26979)------------------------------
% 0.60/0.77 % (26979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26979)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (26979)Memory used [KB]: 964
% 0.60/0.77 % (26979)Time elapsed: 0.002 s
% 0.60/0.77 % (26979)Instructions burned: 2 (million)
% 0.60/0.77 % (26979)------------------------------
% 0.60/0.77 % (26979)------------------------------
% 0.60/0.77 % (26980)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)
% 0.60/0.77 % (26981)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)
% 0.60/0.77 % (26978)First to succeed.
% 0.60/0.77 % (26981)Refutation not found, incomplete strategy% (26981)------------------------------
% 0.60/0.77 % (26981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26981)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (26981)Memory used [KB]: 949
% 0.60/0.77 % (26981)Time elapsed: 0.002 s
% 0.60/0.77 % (26981)Instructions burned: 2 (million)
% 0.60/0.77 % (26978)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26973"
% 0.60/0.77 % (26981)------------------------------
% 0.60/0.77 % (26981)------------------------------
% 0.60/0.77 % (26980)Also succeeded, but the first one will report.
% 0.60/0.77 % (26982)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)
% 0.60/0.77 % (26978)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (26978)------------------------------
% 0.60/0.77 % (26978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26978)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (26978)Memory used [KB]: 1004
% 0.60/0.77 % (26978)Time elapsed: 0.004 s
% 0.60/0.77 % (26978)Instructions burned: 5 (million)
% 0.60/0.77 % (26973)Success in time 0.393 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------