TSTP Solution File: ANA015-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA015-2 : 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 02:07:16 EDT 2024
% Result : Unsatisfiable 0.60s 0.83s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 66 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 32 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f59,f101]) ).
fof(f101,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f98,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f62,f17]) ).
fof(f17,plain,
! [X0,X1] : ~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X0,X1,t_a))),t_a),t_a),c_times(X0,c_times(X1,c_HOL_Oabs(v_f(v_x(c_times(X0,X1,t_a))),t_a),t_a),t_a),t_a),
inference(superposition,[],[f6,f15]) ).
fof(f15,plain,
! [X2,X0,X1] : c_times(c_times(X0,X1,t_a),X2,t_a) = c_times(X0,c_times(X1,X2,t_a),t_a),
inference(resolution,[],[f2,f14]) ).
fof(f14,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference(resolution,[],[f13,f7]) ).
fof(f7,axiom,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| class_OrderedGroup_Osemigroup__mult(X5) ),
file('/export/starexec/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',clsrel_Ring__and__Field_Ofield_21) ).
fof(f13,plain,
class_Ring__and__Field_Ofield(t_a),
inference(resolution,[],[f8,f12]) ).
fof(f12,axiom,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',tfree_tcs) ).
fof(f8,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ofield(X5) ),
file('/export/starexec/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',clsrel_Ring__and__Field_Oordered__field_0) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Osemigroup__mult(X0)
| c_times(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_times(X2,X3,X0),X0) ),
file('/export/starexec/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
fof(f6,axiom,
! [X4] : ~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(X4)),t_a),t_a),c_times(X4,c_HOL_Oabs(v_f(v_x(X4)),t_a),t_a),t_a),
file('/export/starexec/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',cls_conjecture_2) ).
fof(f62,plain,
( ! [X0,X1] : c_lessequals(c_HOL_Oabs(c_times(X0,v_g(X1),t_a),t_a),c_times(c_HOL_Oabs(X0,t_a),c_times(v_d,c_HOL_Oabs(v_f(X1),t_a),t_a),t_a),t_a)
| ~ spl0_2 ),
inference(resolution,[],[f60,f5]) ).
fof(f5,axiom,
! [X4] : c_lessequals(c_HOL_Oabs(v_g(X4),t_a),c_times(v_d,c_HOL_Oabs(v_f(X4),t_a),t_a),t_a),
file('/export/starexec/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',cls_conjecture_1) ).
fof(f60,plain,
( ! [X2,X0,X1] :
( ~ c_lessequals(c_HOL_Oabs(X1,t_a),X2,t_a)
| c_lessequals(c_HOL_Oabs(c_times(X0,X1,t_a),t_a),c_times(c_HOL_Oabs(X0,t_a),X2,t_a),t_a) )
| ~ spl0_2 ),
inference(superposition,[],[f55,f36]) ).
fof(f36,plain,
! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_a),t_a) = c_times(c_HOL_Oabs(X0,t_a),c_HOL_Oabs(X1,t_a),t_a),
inference(resolution,[],[f20,f12]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X2)
| c_HOL_Oabs(c_times(X0,X1,X2),X2) = c_times(c_HOL_Oabs(X0,X2),c_HOL_Oabs(X1,X2),X2) ),
inference(resolution,[],[f3,f9]) ).
fof(f9,axiom,
! [X5] :
( class_Ring__and__Field_Oordered__idom(X5)
| ~ class_Ring__and__Field_Oordered__field(X5) ),
file('/export/starexec/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',clsrel_Ring__and__Field_Oordered__field_34) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| c_HOL_Oabs(c_times(X1,X2,X0),X0) = c_times(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) ),
file('/export/starexec/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',cls_Ring__and__Field_Oabs__mult_0) ).
fof(f55,plain,
( ! [X2,X0,X1] :
( c_lessequals(c_times(c_HOL_Oabs(X0,t_a),X1,t_a),c_times(c_HOL_Oabs(X0,t_a),X2,t_a),t_a)
| ~ c_lessequals(X1,X2,t_a) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_2
<=> ! [X2,X0,X1] :
( c_lessequals(c_times(c_HOL_Oabs(X0,t_a),X1,t_a),c_times(c_HOL_Oabs(X0,t_a),X2,t_a),t_a)
| ~ c_lessequals(X1,X2,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f59,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f58]) ).
fof(f58,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f57,f12]) ).
fof(f57,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| spl0_1 ),
inference(resolution,[],[f52,f11]) ).
fof(f11,axiom,
! [X5] :
( class_OrderedGroup_Olordered__ab__group__abs(X5)
| ~ class_Ring__and__Field_Oordered__field(X5) ),
file('/export/starexec/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',clsrel_Ring__and__Field_Oordered__field_47) ).
fof(f52,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_1
<=> class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f56,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f48,f54,f50]) ).
fof(f48,plain,
! [X2,X0,X1] :
( c_lessequals(c_times(c_HOL_Oabs(X0,t_a),X1,t_a),c_times(c_HOL_Oabs(X0,t_a),X2,t_a),t_a)
| ~ c_lessequals(X1,X2,t_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(resolution,[],[f47,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/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_0,X2,t_a)
| c_lessequals(c_times(X2,X0,t_a),c_times(X2,X1,t_a),t_a)
| ~ c_lessequals(X0,X1,t_a) ),
inference(resolution,[],[f26,f12]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(c_times(X0,X2,X1),c_times(X0,X3,X1),X1)
| ~ c_lessequals(c_0,X0,X1) ),
inference(resolution,[],[f4,f10]) ).
fof(f10,axiom,
! [X5] :
( class_Ring__and__Field_Opordered__semiring(X5)
| ~ class_Ring__and__Field_Oordered__field(X5) ),
file('/export/starexec/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',clsrel_Ring__and__Field_Oordered__field_46) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Opordered__semiring(X0)
| ~ c_lessequals(c_0,X3,X0)
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(c_times(X3,X1,X0),c_times(X3,X2,X0),X0) ),
file('/export/starexec/sandbox/tmp/tmp.E4piixW0kD/Vampire---4.8_22188',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ANA015-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.13 % 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 17:05:10 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.E4piixW0kD/Vampire---4.8_22188
% 0.60/0.83 % (22306)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)
% 0.60/0.83 % (22303)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)
% 0.60/0.83 % (22307)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)
% 0.60/0.83 % (22305)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.83 % (22308)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)
% 0.60/0.83 % (22304)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)
% 0.60/0.83 % (22309)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)
% 0.60/0.83 % (22310)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)
% 0.60/0.83 % (22309)Refutation not found, incomplete strategy% (22309)------------------------------
% 0.60/0.83 % (22309)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (22310)Refutation not found, incomplete strategy% (22310)------------------------------
% 0.60/0.83 % (22310)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (22306)Refutation not found, incomplete strategy% (22306)------------------------------
% 0.60/0.83 % (22306)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (22308)Refutation not found, incomplete strategy% (22308)------------------------------
% 0.60/0.83 % (22308)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (22306)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83 % (22308)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83 % (22310)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83
% 0.60/0.83
% 0.60/0.83
% 0.60/0.83 % (22306)Memory used [KB]: 951
% 0.60/0.83 % (22308)Memory used [KB]: 951
% 0.60/0.83 % (22310)Memory used [KB]: 951
% 0.60/0.83 % (22306)Time elapsed: 0.003 s
% 0.60/0.83 % (22308)Time elapsed: 0.002 s
% 0.60/0.83 % (22310)Time elapsed: 0.002 s
% 0.60/0.83 % (22306)Instructions burned: 2 (million)
% 0.60/0.83 % (22308)Instructions burned: 2 (million)
% 0.60/0.83 % (22310)Instructions burned: 2 (million)
% 0.60/0.83 % (22306)------------------------------
% 0.60/0.83 % (22306)------------------------------
% 0.60/0.83 % (22308)------------------------------
% 0.60/0.83 % (22308)------------------------------
% 0.60/0.83 % (22310)------------------------------
% 0.60/0.83 % (22310)------------------------------
% 0.60/0.83 % (22309)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83 % (22307)Refutation not found, incomplete strategy% (22307)------------------------------
% 0.60/0.83 % (22307)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (22307)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83
% 0.60/0.83 % (22307)Memory used [KB]: 957
% 0.60/0.83 % (22307)Time elapsed: 0.003 s
% 0.60/0.83 % (22307)Instructions burned: 2 (million)
% 0.60/0.83 % (22307)------------------------------
% 0.60/0.83 % (22307)------------------------------
% 0.60/0.83 % (22303)Refutation not found, incomplete strategy% (22303)------------------------------
% 0.60/0.83 % (22303)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (22303)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83
% 0.60/0.83 % (22303)Memory used [KB]: 966
% 0.60/0.83 % (22303)Time elapsed: 0.003 s
% 0.60/0.83 % (22303)Instructions burned: 2 (million)
% 0.60/0.83 % (22303)------------------------------
% 0.60/0.83 % (22303)------------------------------
% 0.60/0.83
% 0.60/0.83 % (22309)Memory used [KB]: 951
% 0.60/0.83 % (22309)Time elapsed: 0.003 s
% 0.60/0.83 % (22309)Instructions burned: 2 (million)
% 0.60/0.83 % (22309)------------------------------
% 0.60/0.83 % (22309)------------------------------
% 0.60/0.83 % (22311)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)
% 0.60/0.83 % (22305)First to succeed.
% 0.60/0.83 % (22313)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)
% 0.60/0.83 % (22312)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)
% 0.60/0.83 % (22314)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 (2995ds/52Mi)
% 0.60/0.83 % (22315)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 (2995ds/518Mi)
% 0.60/0.83 % (22316)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 (2995ds/42Mi)
% 0.60/0.83 % (22313)Refutation not found, incomplete strategy% (22313)------------------------------
% 0.60/0.83 % (22313)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (22313)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83
% 0.60/0.83 % (22313)Memory used [KB]: 953
% 0.60/0.83 % (22313)Time elapsed: 0.002 s
% 0.60/0.83 % (22313)Instructions burned: 2 (million)
% 0.60/0.83 % (22313)------------------------------
% 0.60/0.83 % (22313)------------------------------
% 0.60/0.83 % (22316)Refutation not found, incomplete strategy% (22316)------------------------------
% 0.60/0.83 % (22316)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (22316)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83
% 0.60/0.83 % (22316)Memory used [KB]: 958
% 0.60/0.83 % (22316)Time elapsed: 0.002 s
% 0.60/0.83 % (22316)Instructions burned: 2 (million)
% 0.60/0.83 % (22316)------------------------------
% 0.60/0.83 % (22316)------------------------------
% 0.60/0.83 % (22305)Refutation found. Thanks to Tanya!
% 0.60/0.83 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83 % (22305)------------------------------
% 0.60/0.83 % (22305)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (22305)Termination reason: Refutation
% 0.60/0.83
% 0.60/0.83 % (22305)Memory used [KB]: 1083
% 0.60/0.83 % (22305)Time elapsed: 0.008 s
% 0.60/0.83 % (22305)Instructions burned: 10 (million)
% 0.60/0.83 % (22305)------------------------------
% 0.60/0.83 % (22305)------------------------------
% 0.60/0.83 % (22296)Success in time 0.494 s
% 0.60/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------