TSTP Solution File: ANA043-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA043-2 : 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 : n028.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 04:31:00 EDT 2024
% Result : Unsatisfiable 0.54s 0.76s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 60 ( 1 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 32 ~; 27 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f462,plain,
$false,
inference(avatar_sat_refutation,[],[f453,f455,f459,f461]) ).
fof(f461,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f460,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f445,f10]) ).
fof(f10,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/tmp/tmp.UVJYznwu8B/Vampire---4.8_1552',tfree_tcs) ).
fof(f7,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Oab__semigroup__mult(X5) ),
file('/export/starexec/sandbox/tmp/tmp.UVJYznwu8B/Vampire---4.8_1552',clsrel_Ring__and__Field_Oordered__idom_17) ).
fof(f445,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f443,plain,
( spl0_1
<=> class_OrderedGroup_Oab__semigroup__mult(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f459,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f458,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f457,f12]) ).
fof(f12,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(resolution,[],[f9,f3]) ).
fof(f9,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Olordered__ab__group__abs(X5) ),
file('/export/starexec/sandbox/tmp/tmp.UVJYznwu8B/Vampire---4.8_1552',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f457,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ spl0_3 ),
inference(resolution,[],[f456,f4]) ).
fof(f4,axiom,
! [X2,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/tmp/tmp.UVJYznwu8B/Vampire---4.8_1552',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f456,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(v_c),v_xa(v_c)),t_b),t_b)
| ~ spl0_3 ),
inference(resolution,[],[f452,f1]) ).
fof(f1,axiom,
! [X0] : c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.UVJYznwu8B/Vampire---4.8_1552',cls_conjecture_0) ).
fof(f452,plain,
( ! [X0] :
( ~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),c_times(X0,c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),t_b) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl0_3
<=> ! [X0] :
( ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),c_times(X0,c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f455,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f454,plain,
( $false
| spl0_2 ),
inference(resolution,[],[f449,f11]) ).
fof(f11,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(resolution,[],[f8,f3]) ).
fof(f8,axiom,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_Ring__and__Field_Opordered__semiring(X5) ),
file('/export/starexec/sandbox/tmp/tmp.UVJYznwu8B/Vampire---4.8_1552',clsrel_Ring__and__Field_Oordered__idom_42) ).
fof(f449,plain,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| spl0_2 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f447,plain,
( spl0_2
<=> class_Ring__and__Field_Opordered__semiring(t_b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f453,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f393,f451,f447,f443]) ).
fof(f393,plain,
! [X0] :
( ~ c_lessequals(c_0,c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),c_times(X0,c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ class_OrderedGroup_Oab__semigroup__mult(t_b) ),
inference(resolution,[],[f23,f2]) ).
fof(f2,axiom,
! [X0] : ~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.UVJYznwu8B/Vampire---4.8_1552',cls_conjecture_1) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] :
( c_lessequals(c_times(X0,X4,X3),c_times(X1,c_times(X0,X2,X3),X3),X3)
| ~ c_lessequals(c_0,X0,X3)
| ~ c_lessequals(X4,c_times(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3)
| ~ class_OrderedGroup_Oab__semigroup__mult(X3) ),
inference(superposition,[],[f6,f5]) ).
fof(f5,axiom,
! [X2,X3,X1,X4] :
( c_times(X2,c_times(X3,X4,X1),X1) = c_times(X3,c_times(X2,X4,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
file('/export/starexec/sandbox/tmp/tmp.UVJYznwu8B/Vampire---4.8_1552',cls_OrderedGroup_Omult__left__commute_0) ).
fof(f6,axiom,
! [X2,X3,X1,X4] :
( c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1)
| ~ c_lessequals(c_0,X4,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1) ),
file('/export/starexec/sandbox/tmp/tmp.UVJYznwu8B/Vampire---4.8_1552',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ANA043-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15 % 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
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 15:57:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.36 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.UVJYznwu8B/Vampire---4.8_1552
% 0.54/0.74 % (1962)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)
% 0.54/0.74 % (1956)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)
% 0.54/0.74 % (1958)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74 % (1957)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)
% 0.54/0.74 % (1960)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)
% 0.54/0.74 % (1959)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)
% 0.54/0.74 % (1961)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)
% 0.54/0.74 % (1963)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)
% 0.54/0.74 % (1959)Refutation not found, incomplete strategy% (1959)------------------------------
% 0.54/0.74 % (1959)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (1961)Refutation not found, incomplete strategy% (1961)------------------------------
% 0.54/0.74 % (1961)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (1961)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (1961)Memory used [KB]: 947
% 0.54/0.74 % (1961)Time elapsed: 0.002 s
% 0.54/0.74 % (1961)Instructions burned: 2 (million)
% 0.54/0.75 % (1959)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (1959)Memory used [KB]: 947
% 0.54/0.75 % (1963)Refutation not found, incomplete strategy% (1963)------------------------------
% 0.54/0.75 % (1963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (1959)Time elapsed: 0.002 s
% 0.54/0.75 % (1959)Instructions burned: 2 (million)
% 0.54/0.75 % (1963)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (1963)Memory used [KB]: 947
% 0.54/0.75 % (1956)Refutation not found, incomplete strategy% (1956)------------------------------
% 0.54/0.75 % (1956)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (1963)Time elapsed: 0.002 s
% 0.54/0.75 % (1963)Instructions burned: 2 (million)
% 0.54/0.75 % (1960)Refutation not found, incomplete strategy% (1960)------------------------------
% 0.54/0.75 % (1960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (1960)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (1960)Memory used [KB]: 955
% 0.54/0.75 % (1960)Time elapsed: 0.002 s
% 0.54/0.75 % (1960)Instructions burned: 2 (million)
% 0.54/0.75 % (1956)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75 % (1961)------------------------------
% 0.54/0.75 % (1961)------------------------------
% 0.54/0.75
% 0.54/0.75 % (1956)Memory used [KB]: 951
% 0.54/0.75 % (1959)------------------------------
% 0.54/0.75 % (1959)------------------------------
% 0.54/0.75 % (1956)Time elapsed: 0.003 s
% 0.54/0.75 % (1956)Instructions burned: 2 (million)
% 0.54/0.75 % (1963)------------------------------
% 0.54/0.75 % (1963)------------------------------
% 0.54/0.75 % (1960)------------------------------
% 0.54/0.75 % (1960)------------------------------
% 0.54/0.75 % (1956)------------------------------
% 0.54/0.75 % (1956)------------------------------
% 0.54/0.75 % (1965)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)
% 0.54/0.75 % (1967)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)
% 0.54/0.75 % (1966)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)
% 0.54/0.75 % (1968)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)
% 0.54/0.75 % (1967)Refutation not found, incomplete strategy% (1967)------------------------------
% 0.54/0.75 % (1967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (1967)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (1967)Memory used [KB]: 952
% 0.54/0.75 % (1967)Time elapsed: 0.003 s
% 0.54/0.75 % (1967)Instructions burned: 2 (million)
% 0.54/0.75 % (1969)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)
% 0.54/0.75 % (1967)------------------------------
% 0.54/0.75 % (1967)------------------------------
% 0.54/0.75 % (1969)Refutation not found, incomplete strategy% (1969)------------------------------
% 0.54/0.75 % (1969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (1969)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (1969)Memory used [KB]: 955
% 0.54/0.75 % (1969)Time elapsed: 0.003 s
% 0.54/0.75 % (1969)Instructions burned: 2 (million)
% 0.54/0.75 % (1969)------------------------------
% 0.54/0.75 % (1969)------------------------------
% 0.54/0.75 % (1957)First to succeed.
% 0.54/0.76 % (1970)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 (2996ds/42Mi)
% 0.54/0.76 % (1957)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1821"
% 0.54/0.76 % (1957)Refutation found. Thanks to Tanya!
% 0.54/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.54/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.76 % (1957)------------------------------
% 0.54/0.76 % (1957)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (1957)Termination reason: Refutation
% 0.54/0.76
% 0.54/0.76 % (1957)Memory used [KB]: 1093
% 0.54/0.76 % (1957)Time elapsed: 0.012 s
% 0.54/0.76 % (1957)Instructions burned: 20 (million)
% 0.54/0.76 % (1821)Success in time 0.389 s
% 0.54/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------