TSTP Solution File: SET842-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET842-1 : 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 : n005.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 15:45:55 EDT 2023
% Result : Unsatisfiable 0.30s 0.55s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1841,plain,
$false,
inference(subsumption_resolution,[],[f1840,f1506]) ).
fof(f1506,plain,
c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),
inference(resolution,[],[f1362,f307]) ).
fof(f307,axiom,
! [X2,X15,X13] :
( c_lessequals(X13,X15,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X13,X15,X2),X13,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oq19bYmN35/Vampire---4.8_5403',cls_Set_OsubsetI_0) ).
fof(f1362,axiom,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.oq19bYmN35/Vampire---4.8_5403',cls_conjecture_3) ).
fof(f1840,plain,
~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Union(v_Y,tc_set(t_a)),tc_set(t_a)),
inference(resolution,[],[f1598,f298]) ).
fof(f298,axiom,
! [X2,X36,X13] :
( c_in(X13,c_Main_OUnionE__1(X13,X36,X2),X2)
| ~ c_in(X13,c_Union(X36,X2),X2) ),
file('/export/starexec/sandbox/tmp/tmp.oq19bYmN35/Vampire---4.8_5403',cls_Set_OUnionE_1) ).
fof(f1598,plain,
~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a)),
inference(resolution,[],[f1590,f1507]) ).
fof(f1507,plain,
~ c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_m,tc_set(t_a)),
inference(resolution,[],[f1362,f308]) ).
fof(f308,axiom,
! [X2,X15,X13] :
( c_lessequals(X13,X15,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X13,X15,X2),X15,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oq19bYmN35/Vampire---4.8_5403',cls_Set_OsubsetI_1) ).
fof(f1590,plain,
! [X0] :
( c_in(X0,v_m,tc_set(t_a))
| ~ c_in(X0,c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f1574,f306]) ).
fof(f306,axiom,
! [X2,X34,X15,X13] :
( ~ c_lessequals(X13,X15,tc_set(X2))
| c_in(X34,X15,X2)
| ~ c_in(X34,X13,X2) ),
file('/export/starexec/sandbox/tmp/tmp.oq19bYmN35/Vampire---4.8_5403',cls_Set_OsubsetD_0) ).
fof(f1574,plain,
c_lessequals(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(resolution,[],[f1524,f1363]) ).
fof(f1363,axiom,
! [X41] :
( ~ c_in(X41,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X41,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/tmp/tmp.oq19bYmN35/Vampire---4.8_5403',cls_conjecture_4) ).
fof(f1524,plain,
c_in(c_Main_OUnionE__1(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(t_a)),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))),
inference(resolution,[],[f1506,f297]) ).
fof(f297,axiom,
! [X2,X36,X13] :
( ~ c_in(X13,c_Union(X36,X2),X2)
| c_in(c_Main_OUnionE__1(X13,X36,X2),X36,tc_set(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.oq19bYmN35/Vampire---4.8_5403',cls_Set_OUnionE_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.22 % Problem : SET842-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.23 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.23/0.44 % Computer : n005.cluster.edu
% 0.23/0.44 % Model : x86_64 x86_64
% 0.23/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.44 % Memory : 8042.1875MB
% 0.23/0.44 % OS : Linux 3.10.0-693.el7.x86_64
% 0.23/0.44 % CPULimit : 300
% 0.23/0.44 % WCLimit : 300
% 0.23/0.44 % DateTime : Sat Aug 26 11:44:23 EDT 2023
% 0.23/0.44 % CPUTime :
% 0.23/0.44 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.23/0.44 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.oq19bYmN35/Vampire---4.8_5403
% 0.23/0.45 % (5512)Running in auto input_syntax mode. Trying TPTP
% 0.30/0.53 % (5518)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.30/0.53 % (5519)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.30/0.53 % (5513)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.30/0.53 % (5516)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.30/0.53 % (5517)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.30/0.53 % (5515)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.30/0.53 % (5514)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.30/0.55 % (5519)First to succeed.
% 0.30/0.55 % (5519)Refutation found. Thanks to Tanya!
% 0.30/0.55 % SZS status Unsatisfiable for Vampire---4
% 0.30/0.55 % SZS output start Proof for Vampire---4
% See solution above
% 0.30/0.55 % (5519)------------------------------
% 0.30/0.55 % (5519)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.30/0.55 % (5519)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.30/0.55 % (5519)Termination reason: Refutation
% 0.30/0.55
% 0.30/0.55 % (5519)Memory used [KB]: 2558
% 0.30/0.55 % (5519)Time elapsed: 0.020 s
% 0.30/0.55 % (5519)------------------------------
% 0.30/0.55 % (5519)------------------------------
% 0.30/0.55 % (5512)Success in time 0.103 s
% 0.30/0.55 % Vampire---4.8 exiting
%------------------------------------------------------------------------------