TSTP Solution File: SWV260-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV260-2 : 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 : n016.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 : Thu Aug 31 23:09:01 EDT 2023
% Result : Unsatisfiable 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 55 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 36 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f287,plain,
$false,
inference(subsumption_resolution,[],[f2,f286]) ).
fof(f286,plain,
~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(duplicate_literal_removal,[],[f282]) ).
fof(f282,plain,
( ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(resolution,[],[f248,f225]) ).
fof(f225,plain,
! [X1] :
( c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[],[f222,f8]) ).
fof(f8,axiom,
! [X3,X4,X5] :
( c_lessequals(X5,X3,tc_set(X4))
| c_in(c_Main_OsubsetI__1(X5,X3,X4),X5,X4) ),
file('/export/starexec/sandbox/tmp/tmp.2NsDsVY0Ja/Vampire---4.8_21672',cls_Set_OsubsetI_0) ).
fof(f222,plain,
! [X0] :
( ~ c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f219,f10]) ).
fof(f10,axiom,
! [X0,X1,X8] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(X8),tc_Message_Omsg)
| ~ c_lessequals(X8,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/tmp/tmp.2NsDsVY0Ja/Vampire---4.8_21672',cls_Message_Oparts__trans_0) ).
fof(f219,plain,
~ c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f205,f1]) ).
fof(f1,axiom,
c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/tmp/tmp.2NsDsVY0Ja/Vampire---4.8_21672',cls_conjecture_0) ).
fof(f205,plain,
( ~ c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[],[f15,f198]) ).
fof(f198,plain,
v_X = c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f149,f1]) ).
fof(f149,plain,
! [X0] :
( ~ c_in(v_Y,c_Message_Oparts(c_insert(X0,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(X0,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X0 ),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ~ c_in(v_Y,c_Message_Oparts(c_insert(X0,v_G,tc_Message_Omsg)),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(X0,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X0
| ~ c_in(v_Y,c_Message_Oparts(c_insert(X0,v_G,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f17,f27]) ).
fof(f27,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f19,f6]) ).
fof(f6,axiom,
! [X2,X3,X4,X5] :
( c_in(X2,c_union(X5,X3,X4),X4)
| ~ c_in(X2,X5,X4) ),
file('/export/starexec/sandbox/tmp/tmp.2NsDsVY0Ja/Vampire---4.8_21672',cls_Set_OUnCI_1) ).
fof(f19,plain,
! [X2] :
( ~ c_in(c_Main_OsubsetI__1(X2,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(resolution,[],[f15,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.2NsDsVY0Ja/Vampire---4.8_21672',cls_Message_Oparts_OInj_0) ).
fof(f17,plain,
! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X0 ),
inference(resolution,[],[f16,f7]) ).
fof(f7,axiom,
! [X6,X7,X4,X5] :
( ~ c_in(X6,c_insert(X7,X5,X4),X4)
| c_in(X6,X5,X4)
| X6 = X7 ),
file('/export/starexec/sandbox/tmp/tmp.2NsDsVY0Ja/Vampire---4.8_21672',cls_Set_OinsertE_0) ).
fof(f16,plain,
! [X1] :
( c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[],[f14,f8]) ).
fof(f14,plain,
! [X0] :
( ~ c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f10,f3]) ).
fof(f3,axiom,
~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/tmp/tmp.2NsDsVY0Ja/Vampire---4.8_21672',cls_conjecture_2) ).
fof(f15,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f14,f9]) ).
fof(f9,axiom,
! [X3,X4,X5] :
( c_lessequals(X5,X3,tc_set(X4))
| ~ c_in(c_Main_OsubsetI__1(X5,X3,X4),X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.2NsDsVY0Ja/Vampire---4.8_21672',cls_Set_OsubsetI_1) ).
fof(f248,plain,
! [X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[],[f236,f5]) ).
fof(f5,axiom,
! [X2,X3,X4,X5] :
( c_in(X2,c_union(X5,X3,X4),X4)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.2NsDsVY0Ja/Vampire---4.8_21672',cls_Set_OUnCI_0) ).
fof(f236,plain,
! [X2] :
( ~ c_in(c_Main_OsubsetI__1(X2,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(resolution,[],[f224,f4]) ).
fof(f224,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f222,f9]) ).
fof(f2,axiom,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/tmp/tmp.2NsDsVY0Ja/Vampire---4.8_21672',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.31 % Computer : n016.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Aug 29 07:16:00 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.31 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.2NsDsVY0Ja/Vampire---4.8_21672
% 0.11/0.32 % (21779)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.38 % (21785)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)
% 0.11/0.38 % (21781)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)
% 0.11/0.38 % (21786)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.11/0.38 % (21784)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)
% 0.11/0.38 % (21783)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)
% 0.11/0.38 % (21782)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)
% 0.11/0.38 % (21780)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)
% 0.16/0.39 % (21785)First to succeed.
% 0.16/0.39 % (21785)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Unsatisfiable for Vampire---4
% 0.16/0.39 % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.39 % (21785)------------------------------
% 0.16/0.39 % (21785)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.39 % (21785)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.39 % (21785)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (21785)Memory used [KB]: 1151
% 0.16/0.39 % (21785)Time elapsed: 0.013 s
% 0.16/0.39 % (21785)------------------------------
% 0.16/0.39 % (21785)------------------------------
% 0.16/0.39 % (21779)Success in time 0.07 s
% 0.16/0.39 % Vampire---4.8 exiting
%------------------------------------------------------------------------------