TSTP Solution File: ANA030-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA030-2 : 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 : n002.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 04:30:54 EDT 2024
% Result : Unsatisfiable 0.57s 0.77s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 42 ( 25 unt; 0 def)
% Number of atoms : 63 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f801,plain,
$false,
inference(unit_resulting_resolution,[],[f2,f796]) ).
fof(f796,plain,
! [X0] : c_lessequals(v_f(X0),c_plus(v_g(X0),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),t_b),
inference(forward_demodulation,[],[f795,f218]) ).
fof(f218,plain,
! [X0,X1] : c_plus(X1,X0,t_b) = c_plus(X0,X1,t_b),
inference(superposition,[],[f189,f26]) ).
fof(f26,plain,
! [X0,X1] : c_minus(X1,c_uminus(X0,t_b),t_b) = c_plus(X1,X0,t_b),
inference(superposition,[],[f25,f21]) ).
fof(f21,plain,
! [X0] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
inference(unit_resulting_resolution,[],[f18,f10]) ).
fof(f10,axiom,
! [X2,X1] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_uminus(X2,X1),X1) = X2 ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',cls_OrderedGroup_Ominus__minus_0) ).
fof(f18,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(unit_resulting_resolution,[],[f3,f15]) ).
fof(f15,axiom,
! [X9] :
( class_OrderedGroup_Oab__group__add(X9)
| ~ class_Ring__and__Field_Oordered__idom(X9) ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',tfree_tcs) ).
fof(f25,plain,
! [X0,X1] : c_plus(X0,c_uminus(X1,t_b),t_b) = c_minus(X0,X1,t_b),
inference(unit_resulting_resolution,[],[f18,f5]) ).
fof(f5,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X3,c_uminus(X4,X1),X1) = c_minus(X3,X4,X1) ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',cls_OrderedGroup_Ocompare__rls__1_0) ).
fof(f189,plain,
! [X0,X1] : c_minus(X1,c_uminus(X0,t_b),t_b) = c_plus(X0,X1,t_b),
inference(superposition,[],[f177,f21]) ).
fof(f177,plain,
! [X0,X1] : c_minus(X1,X0,t_b) = c_plus(c_uminus(X0,t_b),X1,t_b),
inference(forward_demodulation,[],[f176,f29]) ).
fof(f29,plain,
! [X0,X1] : c_minus(X0,X1,t_b) = c_uminus(c_minus(X1,X0,t_b),t_b),
inference(unit_resulting_resolution,[],[f18,f9]) ).
fof(f9,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_minus(X3,X4,X1),X1) = c_minus(X4,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',cls_OrderedGroup_Ominus__diff__eq_0) ).
fof(f176,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_plus(c_uminus(X0,t_b),X1,t_b),
inference(forward_demodulation,[],[f165,f26]) ).
fof(f165,plain,
! [X0,X1] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(c_uminus(X0,t_b),c_uminus(X1,t_b),t_b),
inference(superposition,[],[f164,f25]) ).
fof(f164,plain,
! [X0,X1] : c_uminus(c_plus(X0,X1,t_b),t_b) = c_minus(c_uminus(X0,t_b),X1,t_b),
inference(forward_demodulation,[],[f163,f25]) ).
fof(f163,plain,
! [X0,X1] : c_uminus(c_plus(X0,X1,t_b),t_b) = c_plus(c_uminus(X0,t_b),c_uminus(X1,t_b),t_b),
inference(unit_resulting_resolution,[],[f18,f8]) ).
fof(f8,axiom,
! [X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_plus(X3,X4,X1),X1) = c_plus(c_uminus(X3,X1),c_uminus(X4,X1),X1) ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',cls_OrderedGroup_Ominus__add__distrib_0) ).
fof(f795,plain,
! [X0] : c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b),
inference(unit_resulting_resolution,[],[f792,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_minus(X0,X1,t_b),X2,t_b)
| c_lessequals(X0,c_plus(X2,X1,t_b),t_b) ),
inference(forward_demodulation,[],[f108,f26]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_minus(X0,X1,t_b),X2,t_b)
| c_lessequals(X0,c_minus(X2,c_uminus(X1,t_b),t_b),t_b) ),
inference(superposition,[],[f86,f25]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b)
| c_lessequals(X0,c_minus(X2,X1,t_b),t_b) ),
inference(forward_demodulation,[],[f85,f25]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b)
| c_lessequals(X0,c_plus(X2,c_uminus(X1,t_b),t_b),t_b) ),
inference(subsumption_resolution,[],[f84,f20]) ).
fof(f20,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(unit_resulting_resolution,[],[f19,f13]) ).
fof(f13,axiom,
! [X9] :
( class_OrderedGroup_Opordered__ab__group__add(X9)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X9) ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f19,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unit_resulting_resolution,[],[f3,f16]) ).
fof(f16,axiom,
! [X9] :
( class_OrderedGroup_Olordered__ab__group__abs(X9)
| ~ class_Ring__and__Field_Oordered__idom(X9) ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_plus(X0,X1,t_b),X2,t_b)
| c_lessequals(X0,c_plus(X2,c_uminus(X1,t_b),t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(superposition,[],[f6,f26]) ).
fof(f6,axiom,
! [X3,X1,X4,X5] :
( ~ c_lessequals(c_minus(X3,X4,X1),X5,X1)
| c_lessequals(X3,c_plus(X5,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',cls_OrderedGroup_Ocompare__rls__8_0) ).
fof(f792,plain,
! [X0] : c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
inference(unit_resulting_resolution,[],[f17,f24,f12]) ).
fof(f12,axiom,
! [X2,X8,X6,X7] :
( ~ c_lessequals(c_Orderings_Omax(X7,X2,X6),X8,X6)
| c_lessequals(X7,X8,X6)
| ~ class_Orderings_Olinorder(X6) ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) ).
fof(f24,plain,
! [X0] : c_lessequals(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
inference(backward_demodulation,[],[f1,f23]) ).
fof(f23,plain,
! [X0] : c_Orderings_Omax(X0,c_0,t_b) = c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b),
inference(unit_resulting_resolution,[],[f19,f22,f4]) ).
fof(f4,axiom,
! [X2,X1] :
( ~ c_lessequals(c_0,X2,X1)
| c_HOL_Oabs(X2,X1) = X2
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',cls_OrderedGroup_Oabs__of__nonneg_0) ).
fof(f22,plain,
! [X0,X1] : c_lessequals(X0,c_Orderings_Omax(X1,X0,t_b),t_b),
inference(unit_resulting_resolution,[],[f17,f11]) ).
fof(f11,axiom,
! [X2,X6,X7] :
( c_lessequals(X2,c_Orderings_Omax(X7,X2,X6),X6)
| ~ class_Orderings_Olinorder(X6) ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',cls_Orderings_Ole__maxI2_0) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',cls_conjecture_1) ).
fof(f17,plain,
class_Orderings_Olinorder(t_b),
inference(unit_resulting_resolution,[],[f3,f14]) ).
fof(f14,axiom,
! [X9] :
( class_Orderings_Olinorder(X9)
| ~ class_Ring__and__Field_Oordered__idom(X9) ),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(v_f(v_x(X0)),c_plus(v_g(v_x(X0)),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.G2kgapvDM7/Vampire---4.8_17114',cls_conjecture_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ANA030-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 15:31:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.37 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.G2kgapvDM7/Vampire---4.8_17114
% 0.57/0.75 % (17503)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)
% 0.57/0.75 % (17503)Refutation not found, incomplete strategy% (17503)------------------------------
% 0.57/0.75 % (17503)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (17503)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (17503)Memory used [KB]: 955
% 0.57/0.75 % (17503)Time elapsed: 0.002 s
% 0.57/0.75 % (17503)Instructions burned: 2 (million)
% 0.57/0.75 % (17496)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)
% 0.57/0.75 % (17503)------------------------------
% 0.57/0.75 % (17503)------------------------------
% 0.57/0.75 % (17498)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (17497)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)
% 0.57/0.75 % (17500)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)
% 0.57/0.75 % (17501)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)
% 0.57/0.75 % (17502)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)
% 0.57/0.75 % (17499)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)
% 0.57/0.75 % (17499)Refutation not found, incomplete strategy% (17499)------------------------------
% 0.57/0.75 % (17499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (17499)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (17499)Memory used [KB]: 958
% 0.57/0.75 % (17499)Time elapsed: 0.003 s
% 0.57/0.75 % (17499)Instructions burned: 3 (million)
% 0.57/0.75 % (17499)------------------------------
% 0.57/0.75 % (17499)------------------------------
% 0.57/0.75 % (17501)Refutation not found, incomplete strategy% (17501)------------------------------
% 0.57/0.75 % (17501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (17501)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (17501)Memory used [KB]: 987
% 0.57/0.75 % (17501)Time elapsed: 0.004 s
% 0.57/0.75 % (17501)Instructions burned: 4 (million)
% 0.57/0.75 % (17506)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)
% 0.57/0.75 % (17501)------------------------------
% 0.57/0.75 % (17501)------------------------------
% 0.57/0.76 % (17509)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 (2996ds/50Mi)
% 0.57/0.76 % (17510)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 (2996ds/208Mi)
% 0.57/0.77 % (17496)Instruction limit reached!
% 0.57/0.77 % (17496)------------------------------
% 0.57/0.77 % (17496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (17496)Termination reason: Unknown
% 0.57/0.77 % (17496)Termination phase: Saturation
% 0.57/0.77
% 0.57/0.77 % (17496)Memory used [KB]: 1266
% 0.57/0.77 % (17496)Time elapsed: 0.016 s
% 0.57/0.77 % (17496)Instructions burned: 35 (million)
% 0.57/0.77 % (17496)------------------------------
% 0.57/0.77 % (17496)------------------------------
% 0.57/0.77 % (17500)Instruction limit reached!
% 0.57/0.77 % (17500)------------------------------
% 0.57/0.77 % (17500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (17500)Termination reason: Unknown
% 0.57/0.77 % (17500)Termination phase: Saturation
% 0.57/0.77
% 0.57/0.77 % (17500)Memory used [KB]: 1183
% 0.57/0.77 % (17500)Time elapsed: 0.018 s
% 0.57/0.77 % (17500)Instructions burned: 35 (million)
% 0.57/0.77 % (17500)------------------------------
% 0.57/0.77 % (17500)------------------------------
% 0.57/0.77 % (17512)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 (2996ds/52Mi)
% 0.57/0.77 % (17506)First to succeed.
% 0.57/0.77 % (17506)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17364"
% 0.57/0.77 % (17513)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 (2996ds/518Mi)
% 0.57/0.77 % (17506)Refutation found. Thanks to Tanya!
% 0.57/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.77 % (17506)------------------------------
% 0.57/0.77 % (17506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77 % (17506)Termination reason: Refutation
% 0.57/0.77
% 0.57/0.77 % (17506)Memory used [KB]: 1395
% 0.57/0.77 % (17506)Time elapsed: 0.018 s
% 0.57/0.77 % (17506)Instructions burned: 52 (million)
% 0.57/0.77 % (17364)Success in time 0.397 s
% 0.57/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------