TSTP Solution File: ANA009-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -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 Aug 30 17:23:00 EDT 2023
% Result : Unsatisfiable 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 24 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 21 (; 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,plain,
$false,
inference(resolution,[],[f14,f3]) ).
fof(f3,axiom,
! [X4] : c_lessequals(v_lb(X4),v_f(X4),t_b),
file('/export/starexec/sandbox2/tmp/tmp.b8T1UbkUX4/Vampire---4.8_6109',cls_conjecture_0) ).
fof(f14,plain,
~ c_lessequals(v_lb(v_x),v_f(v_x),t_b),
inference(resolution,[],[f12,f4]) ).
fof(f4,axiom,
~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/tmp/tmp.b8T1UbkUX4/Vampire---4.8_6109',cls_conjecture_2) ).
fof(f12,plain,
! [X0,X1] :
( c_lessequals(c_0,c_plus(X1,c_uminus(X0,t_b),t_b),t_b)
| ~ c_lessequals(X0,X1,t_b) ),
inference(superposition,[],[f11,f9]) ).
fof(f9,plain,
! [X0] : c_0 = c_plus(X0,c_uminus(X0,t_b),t_b),
inference(resolution,[],[f8,f7]) ).
fof(f7,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/tmp/tmp.b8T1UbkUX4/Vampire---4.8_6109',tfree_tcs) ).
fof(f8,plain,
! [X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_0 = c_plus(X0,c_uminus(X0,X1),X1) ),
inference(resolution,[],[f2,f6]) ).
fof(f6,axiom,
! [X5] :
( class_OrderedGroup_Oab__group__add(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/tmp/tmp.b8T1UbkUX4/Vampire---4.8_6109',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f2,axiom,
! [X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
file('/export/starexec/sandbox2/tmp/tmp.b8T1UbkUX4/Vampire---4.8_6109',cls_OrderedGroup_Oright__minus_0) ).
fof(f11,plain,
! [X2,X0,X1] :
( c_lessequals(c_plus(X0,X1,t_b),c_plus(X2,X1,t_b),t_b)
| ~ c_lessequals(X0,X2,t_b) ),
inference(resolution,[],[f10,f7]) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[],[f1,f5]) ).
fof(f5,axiom,
! [X5] :
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
| ~ class_Ring__and__Field_Oordered__idom(X5) ),
file('/export/starexec/sandbox2/tmp/tmp.b8T1UbkUX4/Vampire---4.8_6109',clsrel_Ring__and__Field_Oordered__idom_37) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
| ~ c_lessequals(X1,X2,X0)
| c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.b8T1UbkUX4/Vampire---4.8_6109',cls_OrderedGroup_Oadd__le__cancel__right_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 25 18:22:41 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.b8T1UbkUX4/Vampire---4.8_6109
% 0.16/0.37 % (6356)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (6363)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.23/0.43 % (6366)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.23/0.43 % (6361)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.23/0.43 % (6360)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.23/0.43 % (6368)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.23/0.43 % (6368)First to succeed.
% 0.23/0.43 % (6363)Also succeeded, but the first one will report.
% 0.23/0.43 % (6364)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.23/0.44 % (6368)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44 % (6368)------------------------------
% 0.23/0.44 % (6368)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (6368)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (6368)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (6368)Memory used [KB]: 895
% 0.23/0.44 % (6368)Time elapsed: 0.004 s
% 0.23/0.44 % (6368)------------------------------
% 0.23/0.44 % (6368)------------------------------
% 0.23/0.44 % (6356)Success in time 0.062 s
% 0.23/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------