TSTP Solution File: ANA015-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA015-2 : TPTP v8.2.0. 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 : n014.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 : Mon May 20 18:40:04 EDT 2024
% Result : Unsatisfiable 0.48s 0.67s
% Output : Refutation 0.48s
% 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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f8,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| class_Ring__and__Field_Ofield(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ANA015-2 : TPTP v8.2.0. Released v3.2.0.
% 0.06/0.14 % 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
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 07:55:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.35 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/benchmark/theBenchmark.p
% 0.48/0.66 % (24489)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.48/0.66 % (24489)Refutation not found, incomplete strategy% (24489)------------------------------
% 0.48/0.66 % (24489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.66 % (24489)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.66
% 0.48/0.66 % (24489)Memory used [KB]: 951
% 0.48/0.66 % (24489)Time elapsed: 0.001 s
% 0.48/0.66 % (24489)Instructions burned: 2 (million)
% 0.48/0.67 % (24489)------------------------------
% 0.48/0.67 % (24489)------------------------------
% 0.48/0.67 % (24482)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 theBenchmark for (2996ds/34Mi)
% 0.48/0.67 % (24486)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 theBenchmark for (2996ds/34Mi)
% 0.48/0.67 % (24485)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.48/0.67 % (24483)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 theBenchmark for (2996ds/51Mi)
% 0.48/0.67 % (24487)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.48/0.67 % (24484)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.48/0.67 % (24488)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 theBenchmark for (2996ds/83Mi)
% 0.48/0.67 % (24485)Refutation not found, incomplete strategy% (24485)------------------------------
% 0.48/0.67 % (24485)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (24485)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.67 % (24487)Refutation not found, incomplete strategy% (24487)------------------------------
% 0.48/0.67 % (24487)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (24487)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.67
% 0.48/0.67 % (24487)Memory used [KB]: 951
% 0.48/0.67 % (24487)Time elapsed: 0.002 s
% 0.48/0.67 % (24487)Instructions burned: 2 (million)
% 0.48/0.67
% 0.48/0.67 % (24485)Memory used [KB]: 951
% 0.48/0.67 % (24485)Time elapsed: 0.002 s
% 0.48/0.67 % (24485)Instructions burned: 2 (million)
% 0.48/0.67 % (24488)Refutation not found, incomplete strategy% (24488)------------------------------
% 0.48/0.67 % (24488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (24482)Refutation not found, incomplete strategy% (24482)------------------------------
% 0.48/0.67 % (24482)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (24488)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.67
% 0.48/0.67 % (24488)Memory used [KB]: 951
% 0.48/0.67 % (24488)Time elapsed: 0.002 s
% 0.48/0.67 % (24488)Instructions burned: 2 (million)
% 0.48/0.67 % (24486)Refutation not found, incomplete strategy% (24486)------------------------------
% 0.48/0.67 % (24486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (24486)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.67
% 0.48/0.67 % (24486)Memory used [KB]: 958
% 0.48/0.67 % (24486)Time elapsed: 0.002 s
% 0.48/0.67 % (24486)Instructions burned: 2 (million)
% 0.48/0.67 % (24487)------------------------------
% 0.48/0.67 % (24487)------------------------------
% 0.48/0.67 % (24482)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.67
% 0.48/0.67 % (24482)Memory used [KB]: 966
% 0.48/0.67 % (24482)Time elapsed: 0.003 s
% 0.48/0.67 % (24482)Instructions burned: 2 (million)
% 0.48/0.67 % (24485)------------------------------
% 0.48/0.67 % (24485)------------------------------
% 0.48/0.67 % (24488)------------------------------
% 0.48/0.67 % (24488)------------------------------
% 0.48/0.67 % (24486)------------------------------
% 0.48/0.67 % (24486)------------------------------
% 0.48/0.67 % (24490)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 theBenchmark for (2996ds/55Mi)
% 0.48/0.67 % (24482)------------------------------
% 0.48/0.67 % (24482)------------------------------
% 0.48/0.67 % (24492)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.48/0.67 % (24491)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 theBenchmark for (2996ds/50Mi)
% 0.48/0.67 % (24493)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 theBenchmark for (2996ds/52Mi)
% 0.48/0.67 % (24494)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 theBenchmark for (2996ds/518Mi)
% 0.48/0.67 % (24484)First to succeed.
% 0.48/0.67 % (24492)Refutation not found, incomplete strategy% (24492)------------------------------
% 0.48/0.67 % (24492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (24492)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.67
% 0.48/0.67 % (24492)Memory used [KB]: 954
% 0.48/0.67 % (24492)Time elapsed: 0.003 s
% 0.48/0.67 % (24492)Instructions burned: 2 (million)
% 0.48/0.67 % (24484)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24481"
% 0.48/0.67 % (24492)------------------------------
% 0.48/0.67 % (24492)------------------------------
% 0.48/0.67 % (24495)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 theBenchmark for (2996ds/42Mi)
% 0.48/0.67 % (24484)Refutation found. Thanks to Tanya!
% 0.48/0.67 % SZS status Unsatisfiable for theBenchmark
% 0.48/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 0.48/0.67 % (24484)------------------------------
% 0.48/0.67 % (24484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.67 % (24484)Termination reason: Refutation
% 0.48/0.67
% 0.48/0.67 % (24484)Memory used [KB]: 1083
% 0.48/0.67 % (24484)Time elapsed: 0.008 s
% 0.48/0.67 % (24484)Instructions burned: 10 (million)
% 0.48/0.67 % (24481)Success in time 0.315 s
% 0.48/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------