TSTP Solution File: ANA023-10 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% 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 : n017.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 02:07:19 EDT 2024
% Result : Unsatisfiable 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f282,plain,
$false,
inference(subsumption_resolution,[],[f280,f9]) ).
fof(f9,axiom,
true != c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',cls_conjecture_3) ).
fof(f280,plain,
true = c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(superposition,[],[f216,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',ifeq_axiom_001) ).
fof(f216,plain,
true = ifeq(true,true,c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b),true),
inference(superposition,[],[f198,f136]) ).
fof(f136,plain,
true = c_lessequals(v_g(v_x),v_f(v_x),t_b),
inference(superposition,[],[f127,f2]) ).
fof(f127,plain,
true = ifeq(true,true,c_lessequals(v_g(v_x),v_f(v_x),t_b),true),
inference(superposition,[],[f78,f76]) ).
fof(f76,plain,
true = c_lessequals(v_g(v_x),v_k(v_x),t_b),
inference(backward_demodulation,[],[f61,f73]) ).
fof(f73,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(superposition,[],[f26,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',ifeq_axiom) ).
fof(f26,plain,
! [X0] : ifeq2(true,true,c_plus(c_0,X0,t_b),X0) = X0,
inference(superposition,[],[f3,f16]) ).
fof(f16,plain,
true = class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(superposition,[],[f15,f2]) ).
fof(f15,plain,
true = ifeq(true,true,class_OrderedGroup_Ocomm__monoid__add(t_b),true),
inference(superposition,[],[f11,f14]) ).
fof(f14,axiom,
true = class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',tfree_tcs) ).
fof(f11,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_OrderedGroup_Ocomm__monoid__add(X10),true),
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f3,axiom,
! [X3,X4] : ifeq2(class_OrderedGroup_Ocomm__monoid__add(X3),true,c_plus(c_0,X4,X3),X4) = X4,
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f61,plain,
true = c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),
inference(superposition,[],[f34,f2]) ).
fof(f34,plain,
true = ifeq(true,true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),
inference(backward_demodulation,[],[f31,f32]) ).
fof(f32,plain,
true = class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(superposition,[],[f22,f2]) ).
fof(f22,plain,
true = ifeq(true,true,class_OrderedGroup_Opordered__ab__group__add(t_b),true),
inference(superposition,[],[f13,f14]) ).
fof(f13,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_OrderedGroup_Opordered__ab__group__add(X10),true),
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f31,plain,
true = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),
inference(forward_demodulation,[],[f30,f2]) ).
fof(f30,plain,
true = ifeq(class_OrderedGroup_Opordered__ab__group__add(t_b),true,ifeq(true,true,c_lessequals(c_plus(c_0,v_g(v_x),t_b),v_k(v_x),t_b),true),true),
inference(superposition,[],[f4,f7]) ).
fof(f7,axiom,
true = c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',cls_conjecture_1) ).
fof(f4,axiom,
! [X3,X6,X7,X5] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(X3),true,ifeq(c_lessequals(X5,c_minus(X6,X7,X3),X3),true,c_lessequals(c_plus(X5,X7,X3),X6,X3),true),true),
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',cls_OrderedGroup_Ocompare__rls__9_0) ).
fof(f78,plain,
! [X0] : true = ifeq(c_lessequals(X0,v_k(v_x),t_b),true,c_lessequals(X0,v_f(v_x),t_b),true),
inference(superposition,[],[f59,f2]) ).
fof(f59,plain,
! [X0] : true = ifeq(true,true,ifeq(c_lessequals(X0,v_k(v_x),t_b),true,c_lessequals(X0,v_f(v_x),t_b),true),true),
inference(backward_demodulation,[],[f50,f52]) ).
fof(f52,plain,
true = class_Orderings_Oorder(t_b),
inference(superposition,[],[f28,f2]) ).
fof(f28,plain,
true = ifeq(true,true,class_Orderings_Oorder(t_b),true),
inference(superposition,[],[f10,f23]) ).
fof(f23,plain,
true = class_Orderings_Olinorder(t_b),
inference(superposition,[],[f19,f2]) ).
fof(f19,plain,
true = ifeq(true,true,class_Orderings_Olinorder(t_b),true),
inference(superposition,[],[f12,f14]) ).
fof(f12,axiom,
! [X10] : true = ifeq(class_Ring__and__Field_Oordered__idom(X10),true,class_Orderings_Olinorder(X10),true),
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f10,axiom,
! [X10] : true = ifeq(class_Orderings_Olinorder(X10),true,class_Orderings_Oorder(X10),true),
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',clsrel_Orderings_Olinorder_4) ).
fof(f50,plain,
! [X0] : true = ifeq(class_Orderings_Oorder(t_b),true,ifeq(c_lessequals(X0,v_k(v_x),t_b),true,c_lessequals(X0,v_f(v_x),t_b),true),true),
inference(forward_demodulation,[],[f44,f2]) ).
fof(f44,plain,
! [X0] : true = ifeq(class_Orderings_Oorder(t_b),true,ifeq(c_lessequals(X0,v_k(v_x),t_b),true,ifeq(true,true,c_lessequals(X0,v_f(v_x),t_b),true),true),true),
inference(superposition,[],[f6,f8]) ).
fof(f8,axiom,
true = c_lessequals(v_k(v_x),v_f(v_x),t_b),
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',cls_conjecture_2) ).
fof(f6,axiom,
! [X3,X8,X9,X4] : true = ifeq(class_Orderings_Oorder(X3),true,ifeq(c_lessequals(X8,X4,X3),true,ifeq(c_lessequals(X4,X9,X3),true,c_lessequals(X8,X9,X3),true),true),true),
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f198,plain,
! [X0,X1] : true = ifeq(c_lessequals(X0,X1,t_b),true,c_lessequals(c_0,c_minus(X1,X0,t_b),t_b),true),
inference(superposition,[],[f192,f73]) ).
fof(f192,plain,
! [X2,X0,X1] : true = ifeq(c_lessequals(c_plus(X0,X1,t_b),X2,t_b),true,c_lessequals(X0,c_minus(X2,X1,t_b),t_b),true),
inference(superposition,[],[f38,f2]) ).
fof(f38,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(c_lessequals(c_plus(X0,X1,t_b),X2,t_b),true,c_lessequals(X0,c_minus(X2,X1,t_b),t_b),true),true),
inference(superposition,[],[f5,f32]) ).
fof(f5,axiom,
! [X3,X6,X7,X5] : true = ifeq(class_OrderedGroup_Opordered__ab__group__add(X3),true,ifeq(c_lessequals(c_plus(X5,X7,X3),X6,X3),true,c_lessequals(X5,c_minus(X6,X7,X3),X3),true),true),
file('/export/starexec/sandbox2/tmp/tmp.HeI32vTH6k/Vampire---4.8_9640',cls_OrderedGroup_Ocompare__rls__9_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.12 % 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
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 16:32:19 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.11/0.32 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.HeI32vTH6k/Vampire---4.8_9640
% 0.60/0.81 % (9759)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)
% 0.60/0.81 % (9758)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)
% 0.60/0.81 % (9760)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)
% 0.60/0.81 % (9757)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81 % (9755)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)
% 0.60/0.81 % (9756)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)
% 0.60/0.81 % (9761)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)
% 0.60/0.81 % (9762)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)
% 0.60/0.81 % (9762)Refutation not found, incomplete strategy% (9762)------------------------------
% 0.60/0.81 % (9762)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (9762)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (9762)Memory used [KB]: 953
% 0.60/0.81 % (9762)Time elapsed: 0.002 s
% 0.60/0.81 % (9762)Instructions burned: 2 (million)
% 0.60/0.81 % (9762)------------------------------
% 0.60/0.81 % (9762)------------------------------
% 0.60/0.81 % (9758)Refutation not found, incomplete strategy% (9758)------------------------------
% 0.60/0.81 % (9758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (9759)Refutation not found, incomplete strategy% (9759)------------------------------
% 0.60/0.81 % (9759)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (9759)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (9759)Memory used [KB]: 971
% 0.60/0.81 % (9759)Time elapsed: 0.003 s
% 0.60/0.81 % (9759)Instructions burned: 2 (million)
% 0.60/0.81 % (9759)------------------------------
% 0.60/0.81 % (9759)------------------------------
% 0.60/0.81 % (9760)Refutation not found, incomplete strategy% (9760)------------------------------
% 0.60/0.81 % (9760)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (9760)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (9760)Memory used [KB]: 953
% 0.60/0.81 % (9760)Time elapsed: 0.003 s
% 0.60/0.81 % (9760)Instructions burned: 2 (million)
% 0.60/0.81 % (9760)------------------------------
% 0.60/0.81 % (9760)------------------------------
% 0.60/0.81 % (9758)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (9758)Memory used [KB]: 953
% 0.60/0.81 % (9758)Time elapsed: 0.003 s
% 0.60/0.81 % (9758)Instructions burned: 2 (million)
% 0.60/0.81 % (9755)Refutation not found, incomplete strategy% (9755)------------------------------
% 0.60/0.81 % (9755)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (9758)------------------------------
% 0.60/0.81 % (9758)------------------------------
% 0.60/0.81 % (9755)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (9755)Memory used [KB]: 971
% 0.60/0.81 % (9755)Time elapsed: 0.003 s
% 0.60/0.81 % (9755)Instructions burned: 3 (million)
% 0.60/0.81 % (9755)------------------------------
% 0.60/0.81 % (9755)------------------------------
% 0.60/0.81 % (9763)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)
% 0.60/0.81 % (9765)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)
% 0.60/0.81 % (9764)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)
% 0.60/0.81 % (9766)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)
% 0.60/0.81 % (9767)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)
% 0.60/0.81 % (9764)Refutation not found, incomplete strategy% (9764)------------------------------
% 0.60/0.81 % (9764)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (9764)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (9764)Memory used [KB]: 958
% 0.60/0.81 % (9764)Time elapsed: 0.002 s
% 0.60/0.81 % (9764)Instructions burned: 3 (million)
% 0.60/0.81 % (9764)------------------------------
% 0.60/0.81 % (9764)------------------------------
% 0.60/0.82 % (9768)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)
% 0.60/0.82 % (9768)Refutation not found, incomplete strategy% (9768)------------------------------
% 0.60/0.82 % (9768)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (9768)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82 % (9765)Refutation not found, incomplete strategy% (9765)------------------------------
% 0.60/0.82 % (9765)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (9765)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (9765)Memory used [KB]: 1055
% 0.60/0.82 % (9765)Time elapsed: 0.007 s
% 0.60/0.82 % (9765)Instructions burned: 12 (million)
% 0.60/0.82 % (9765)------------------------------
% 0.60/0.82 % (9765)------------------------------
% 0.60/0.82
% 0.60/0.82 % (9768)Memory used [KB]: 967
% 0.60/0.82 % (9768)Time elapsed: 0.002 s
% 0.60/0.82 % (9768)Instructions burned: 2 (million)
% 0.60/0.82 % (9768)------------------------------
% 0.60/0.82 % (9768)------------------------------
% 0.60/0.82 % (9757)First to succeed.
% 0.60/0.82 % (9770)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.82 % (9769)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.82 % (9757)Refutation found. Thanks to Tanya!
% 0.60/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82 % (9757)------------------------------
% 0.60/0.82 % (9757)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (9757)Termination reason: Refutation
% 0.60/0.82
% 0.60/0.82 % (9757)Memory used [KB]: 1103
% 0.60/0.82 % (9757)Time elapsed: 0.015 s
% 0.60/0.82 % (9757)Instructions burned: 25 (million)
% 0.60/0.82 % (9757)------------------------------
% 0.60/0.82 % (9757)------------------------------
% 0.60/0.82 % (9748)Success in time 0.498 s
% 0.60/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------