TSTP Solution File: SET840-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET840-1 : 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 15:45:54 EDT 2023
% Result : Unsatisfiable 14.92s 2.64s
% Output : Refutation 14.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 54 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 57 ( 29 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 32 (; 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59460,plain,
$false,
inference(avatar_sat_refutation,[],[f58925,f59434,f59458]) ).
fof(f59458,plain,
~ spl0_1093,
inference(avatar_contradiction_clause,[],[f59436]) ).
fof(f59436,plain,
( $false
| ~ spl0_1093 ),
inference(resolution,[],[f59433,f304]) ).
fof(f304,axiom,
! [X2,X4] : c_in(X4,c_insert(X4,c_emptyset,X2),X2),
file('/export/starexec/sandbox2/tmp/tmp.n3kRfTeIeo/Vampire---4.8_18561',cls_Set_OsingletonI_0) ).
fof(f59433,plain,
( ! [X1] : ~ c_in(c_Union(v_S,t_b),c_insert(X1,c_emptyset,tc_set(t_b)),tc_set(t_b))
| ~ spl0_1093 ),
inference(avatar_component_clause,[],[f59432]) ).
fof(f59432,plain,
( spl0_1093
<=> ! [X1] : ~ c_in(c_Union(v_S,t_b),c_insert(X1,c_emptyset,tc_set(t_b)),tc_set(t_b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1093])]) ).
fof(f59434,plain,
( spl0_1093
| ~ spl0_1068 ),
inference(avatar_split_clause,[],[f58933,f55780,f59432]) ).
fof(f55780,plain,
( spl0_1068
<=> ! [X31] : c_Union(v_S,t_b) = c_Main_OsubsetI__1(v_S,c_insert(X31,c_emptyset,tc_set(t_b)),tc_set(t_b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1068])]) ).
fof(f58933,plain,
( ! [X1] : ~ c_in(c_Union(v_S,t_b),c_insert(X1,c_emptyset,tc_set(t_b)),tc_set(t_b))
| ~ spl0_1068 ),
inference(superposition,[],[f1364,f55781]) ).
fof(f55781,plain,
( ! [X31] : c_Union(v_S,t_b) = c_Main_OsubsetI__1(v_S,c_insert(X31,c_emptyset,tc_set(t_b)),tc_set(t_b))
| ~ spl0_1068 ),
inference(avatar_component_clause,[],[f55780]) ).
fof(f1364,plain,
! [X6] : ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(X6,c_emptyset,tc_set(t_b)),tc_set(t_b)),c_insert(X6,c_emptyset,tc_set(t_b)),tc_set(t_b)),
inference(resolution,[],[f1358,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/sandbox2/tmp/tmp.n3kRfTeIeo/Vampire---4.8_18561',cls_Set_OsubsetI_1) ).
fof(f1358,axiom,
! [X41] : ~ c_lessequals(v_S,c_insert(X41,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))),
file('/export/starexec/sandbox2/tmp/tmp.n3kRfTeIeo/Vampire---4.8_18561',cls_conjecture_0) ).
fof(f58925,plain,
spl0_1068,
inference(avatar_split_clause,[],[f58366,f55780]) ).
fof(f58366,plain,
! [X35] : c_Union(v_S,t_b) = c_Main_OsubsetI__1(v_S,c_insert(X35,c_emptyset,tc_set(t_b)),tc_set(t_b)),
inference(resolution,[],[f58336,f1363]) ).
fof(f1363,plain,
! [X5] : c_in(c_Main_OsubsetI__1(v_S,c_insert(X5,c_emptyset,tc_set(t_b)),tc_set(t_b)),v_S,tc_set(t_b)),
inference(resolution,[],[f1358,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/sandbox2/tmp/tmp.n3kRfTeIeo/Vampire---4.8_18561',cls_Set_OsubsetI_0) ).
fof(f58336,plain,
! [X3] :
( ~ c_in(X3,v_S,tc_set(t_b))
| c_Union(v_S,t_b) = X3 ),
inference(duplicate_literal_removal,[],[f58224]) ).
fof(f58224,plain,
! [X3] :
( c_Union(v_S,t_b) = X3
| ~ c_in(X3,v_S,tc_set(t_b))
| ~ c_in(X3,v_S,tc_set(t_b))
| ~ c_in(X3,v_S,tc_set(t_b))
| c_Union(v_S,t_b) = X3 ),
inference(resolution,[],[f6816,f1710]) ).
fof(f1710,plain,
! [X1] :
( c_in(c_Main_OsubsetI__1(X1,c_Union(v_S,t_b),t_b),X1,t_b)
| ~ c_in(X1,v_S,tc_set(t_b))
| c_Union(v_S,t_b) = X1 ),
inference(resolution,[],[f1390,f307]) ).
fof(f1390,plain,
! [X6] :
( ~ c_lessequals(X6,c_Union(v_S,t_b),tc_set(t_b))
| c_Union(v_S,t_b) = X6
| ~ c_in(X6,v_S,tc_set(t_b)) ),
inference(resolution,[],[f1359,f309]) ).
fof(f309,axiom,
! [X2,X15,X13] :
( X13 = X15
| ~ c_lessequals(X13,X15,tc_set(X2))
| ~ c_lessequals(X15,X13,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.n3kRfTeIeo/Vampire---4.8_18561',cls_Set_Osubset__antisym_0) ).
fof(f1359,axiom,
! [X41] :
( c_lessequals(c_Union(v_S,t_b),X41,tc_set(t_b))
| ~ c_in(X41,v_S,tc_set(t_b)) ),
file('/export/starexec/sandbox2/tmp/tmp.n3kRfTeIeo/Vampire---4.8_18561',cls_conjecture_1) ).
fof(f6816,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Union(v_S,t_b),t_b),X1,t_b)
| c_Union(v_S,t_b) = X0
| ~ c_in(X0,v_S,tc_set(t_b))
| ~ c_in(X1,v_S,tc_set(t_b)) ),
inference(resolution,[],[f1711,f173]) ).
fof(f173,axiom,
! [X2,X36,X35,X13] :
( ~ c_in(X13,X35,X2)
| ~ c_in(X35,X36,tc_set(X2))
| c_in(X13,c_Union(X36,X2),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.n3kRfTeIeo/Vampire---4.8_18561',cls_Set_OUnionI_0) ).
fof(f1711,plain,
! [X2] :
( ~ c_in(c_Main_OsubsetI__1(X2,c_Union(v_S,t_b),t_b),c_Union(v_S,t_b),t_b)
| ~ c_in(X2,v_S,tc_set(t_b))
| c_Union(v_S,t_b) = X2 ),
inference(resolution,[],[f1390,f308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.22 % Problem : SET840-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.24 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.24/0.45 % Computer : n005.cluster.edu
% 0.24/0.45 % Model : x86_64 x86_64
% 0.24/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.45 % Memory : 8042.1875MB
% 0.24/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.24/0.45 % CPULimit : 300
% 0.24/0.45 % WCLimit : 300
% 0.24/0.45 % DateTime : Sat Aug 26 14:41:38 EDT 2023
% 0.24/0.45 % CPUTime :
% 0.24/0.45 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.24/0.46 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.n3kRfTeIeo/Vampire---4.8_18561
% 0.24/0.46 % (18865)Running in auto input_syntax mode. Trying TPTP
% 0.30/0.54 % (18871)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)
% 0.30/0.54 % (18870)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)
% 0.30/0.54 % (18869)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)
% 0.30/0.54 % (18868)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)
% 0.30/0.54 % (18866)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)
% 0.30/0.54 % (18872)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)
% 0.30/0.54 % (18867)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)
% 14.92/2.63 % (18868)First to succeed.
% 14.92/2.64 % (18868)Refutation found. Thanks to Tanya!
% 14.92/2.64 % SZS status Unsatisfiable for Vampire---4
% 14.92/2.64 % SZS output start Proof for Vampire---4
% See solution above
% 14.92/2.64 % (18868)------------------------------
% 14.92/2.64 % (18868)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 14.92/2.64 % (18868)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 14.92/2.64 % (18868)Termination reason: Refutation
% 14.92/2.64
% 14.92/2.64 % (18868)Memory used [KB]: 59487
% 14.92/2.64 % (18868)Time elapsed: 2.090 s
% 14.92/2.64 % (18868)------------------------------
% 14.92/2.64 % (18868)------------------------------
% 14.92/2.64 % (18865)Success in time 2.166 s
% 14.92/2.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------