TSTP Solution File: SWV279-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV279-1 : 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 : n031.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 23:09:14 EDT 2023
% Result : Unsatisfiable 4.38s 1.20s
% Output : Refutation 4.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 43 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 22 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 45 (; 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14221,plain,
$false,
inference(resolution,[],[f14213,f2684]) ).
fof(f2684,axiom,
! [X0,X1,X12] : c_in(X0,c_insert(X0,X12,X1),X1),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_Set_Oinsert__iff_1) ).
fof(f14213,plain,
! [X8] : ~ c_in(c_Message_Omsg_OMPair(X8,v_Y),c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[],[f14054,f2767]) ).
fof(f2767,axiom,
! [X88,X86] :
( c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg)
| ~ c_in(X86,X88,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_Message_Oparts_OInj_0) ).
fof(f14054,plain,
! [X3] : ~ c_in(c_Message_Omsg_OMPair(X3,v_Y),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f13969,f2728]) ).
fof(f2728,axiom,
! [X88,X86,X87] :
( c_in(X87,c_Message_Oparts(X88),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oparts(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_Message_OMPair__parts_0) ).
fof(f13969,plain,
~ c_in(v_Y,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),
inference(resolution,[],[f13963,f2923]) ).
fof(f2923,plain,
! [X0] :
( c_in(X0,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f2920,f108]) ).
fof(f108,axiom,
! [X1,X4,X12,X13] :
( ~ c_lessequals(X12,X13,tc_set(X1))
| c_in(X4,X13,X1)
| ~ c_in(X4,X12,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_Set_OsubsetD_0) ).
fof(f2920,plain,
c_lessequals(c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),c_Event_Oused(v_H),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f2917,f2916]) ).
fof(f2916,axiom,
! [X86,X102] :
( ~ c_in(X86,c_Event_Oused(X102),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_insert(X86,c_emptyset,tc_Message_Omsg)),c_Event_Oused(X102),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_Public_Oused__parts__subset__parts_0) ).
fof(f2917,axiom,
c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Event_Oused(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_conjecture_0) ).
fof(f13963,plain,
~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg),
inference(superposition,[],[f13941,f2590]) ).
fof(f2590,axiom,
! [X3,X1] : c_minus(X3,c_emptyset,tc_set(X1)) = X3,
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_Set_ODiff__empty_0) ).
fof(f13941,plain,
! [X5] : ~ c_in(v_Y,c_minus(c_Event_Oused(v_H),X5,tc_set(tc_Message_Omsg)),tc_Message_Omsg),
inference(trivial_inequality_removal,[],[f13924]) ).
fof(f13924,plain,
! [X5] :
( c_emptyset != c_emptyset
| ~ c_in(v_Y,c_minus(c_Event_Oused(v_H),X5,tc_set(tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[],[f2680,f13870]) ).
fof(f13870,plain,
! [X71] : c_emptyset = c_inter(c_insert(v_Y,X71,tc_Message_Omsg),c_minus(c_Event_Oused(v_H),X71,tc_set(tc_Message_Omsg)),tc_Message_Omsg),
inference(superposition,[],[f2589,f13832]) ).
fof(f13832,plain,
! [X0] : c_minus(c_Event_Oused(v_H),X0,tc_set(tc_Message_Omsg)) = c_minus(c_Event_Oused(v_H),c_insert(v_Y,X0,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[],[f6798,f106]) ).
fof(f106,axiom,
! [X18,X1] : c_in(X18,c_insert(X18,c_emptyset,X1),X1),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_Set_OsingletonI_0) ).
fof(f6798,plain,
! [X14,X13] :
( ~ c_in(c_Message_Omsg_OMPair(v_X,X14),c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg),tc_Message_Omsg)
| c_minus(c_Event_Oused(v_H),X13,tc_set(tc_Message_Omsg)) = c_minus(c_Event_Oused(v_H),c_insert(v_Y,X13,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f3624,f2767]) ).
fof(f3624,plain,
! [X2,X3] :
( ~ c_in(c_Message_Omsg_OMPair(v_X,X3),c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_minus(c_Event_Oused(v_H),X2,tc_set(tc_Message_Omsg)) = c_minus(c_Event_Oused(v_H),c_insert(v_Y,X2,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f2970,f2729]) ).
fof(f2729,axiom,
! [X88,X86,X87] :
( c_in(X86,c_Message_Oparts(X88),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X86,X87),c_Message_Oparts(X88),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_Message_OMPair__parts_1) ).
fof(f2970,plain,
! [X1] :
( ~ c_in(v_X,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(v_X,v_Y),c_emptyset,tc_Message_Omsg)),tc_Message_Omsg)
| c_minus(c_Event_Oused(v_H),X1,tc_set(tc_Message_Omsg)) = c_minus(c_Event_Oused(v_H),c_insert(v_Y,X1,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f2923,f2922]) ).
fof(f2922,plain,
! [X0] :
( ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg)
| c_minus(c_Event_Oused(v_H),X0,tc_set(tc_Message_Omsg)) = c_minus(c_Event_Oused(v_H),c_insert(v_Y,X0,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(resolution,[],[f2918,f2597]) ).
fof(f2597,axiom,
! [X0,X1,X12,X13] :
( c_in(X0,X12,X1)
| c_minus(X12,X13,tc_set(X1)) = c_minus(X12,c_insert(X0,X13,X1),tc_set(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_Set_ODiff__insert0_0) ).
fof(f2918,axiom,
( ~ c_in(v_Y,c_Event_Oused(v_H),tc_Message_Omsg)
| ~ c_in(v_X,c_Event_Oused(v_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_conjecture_1) ).
fof(f2589,axiom,
! [X1,X12,X13] : c_emptyset = c_inter(X12,c_minus(X13,X12,tc_set(X1)),X1),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_Set_ODiff__disjoint_0) ).
fof(f2680,axiom,
! [X18,X1,X12,X13] :
( c_emptyset != c_inter(c_insert(X18,X12,X1),X13,X1)
| ~ c_in(X18,X13,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375',cls_Set_Oinsert__disjoint__2_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.33 % Problem : SWV279-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.34 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.34/0.53 % Computer : n031.cluster.edu
% 0.34/0.53 % Model : x86_64 x86_64
% 0.34/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.34/0.53 % Memory : 8042.1875MB
% 0.34/0.53 % OS : Linux 3.10.0-693.el7.x86_64
% 0.34/0.53 % CPULimit : 300
% 0.34/0.54 % WCLimit : 300
% 0.34/0.54 % DateTime : Tue Aug 29 08:02:26 EDT 2023
% 0.34/0.54 % CPUTime :
% 0.34/0.54 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.34/0.54 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.k6SuKOuM7C/Vampire---4.8_32375
% 0.34/0.54 % (32487)Running in auto input_syntax mode. Trying TPTP
% 0.39/0.66 % (32496)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 0.39/0.68 % (32495)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_398 on Vampire---4 for (398ds/0Mi)
% 0.39/0.68 % (32493)ott+1010_3_aac=none:bs=unit_only:bce=on:ep=R:er=filter:fsd=off:fde=none:gsp=on:irw=on:lcm=predicate:nwc=10.0:sos=all:sp=occurrence_449 on Vampire---4 for (449ds/0Mi)
% 0.39/0.68 % (32494)dis+3_3:2_aac=none:fsd=off:fde=none:lcm=reverse:nm=32:nicw=on:sos=on:sac=on:sp=occurrence_419 on Vampire---4 for (419ds/0Mi)
% 0.39/0.68 % (32489)dis-1002_1_bd=off:fsd=off:fsr=off:fde=none:nwc=1.3:sims=off:sos=all_501 on Vampire---4 for (501ds/0Mi)
% 0.39/0.69 % (32488)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_577 on Vampire---4 for (577ds/0Mi)
% 0.39/0.70 % (32491)ott-11_3:1_afr=on:anc=all_dependent:bd=preordered:bce=on:er=filter:fsd=off:fde=unused:nm=4:sos=all:sac=on:tgt=full:urr=on_476 on Vampire---4 for (476ds/0Mi)
% 3.99/1.20 % (32488)First to succeed.
% 4.38/1.20 % (32488)Refutation found. Thanks to Tanya!
% 4.38/1.20 % SZS status Unsatisfiable for Vampire---4
% 4.38/1.20 % SZS output start Proof for Vampire---4
% See solution above
% 4.38/1.20 % (32488)------------------------------
% 4.38/1.20 % (32488)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.38/1.20 % (32488)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.38/1.20 % (32488)Termination reason: Refutation
% 4.38/1.20
% 4.38/1.20 % (32488)Memory used [KB]: 10746
% 4.38/1.20 % (32488)Time elapsed: 0.508 s
% 4.38/1.20 % (32488)------------------------------
% 4.38/1.20 % (32488)------------------------------
% 4.38/1.20 % (32487)Success in time 0.657 s
% 4.38/1.20 % Vampire---4.8 exiting
%------------------------------------------------------------------------------