TSTP Solution File: SET852-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET852-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n020.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 31 18:22:32 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1457,plain,
$false,
inference(avatar_sat_refutation,[],[f1422,f1440,f1447]) ).
fof(f1447,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1446]) ).
fof(f1446,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1445,f1365]) ).
fof(f1365,axiom,
~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1445,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1444,f1364]) ).
fof(f1364,axiom,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1444,plain,
( c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ spl0_4 ),
inference(resolution,[],[f1421,f1360]) ).
fof(f1360,axiom,
! [X2,X36,X15,X13] :
( ~ c_lessequals(X15,c_Zorn_OUnion__lemma0__1(X13,X15,X36,X2),tc_set(X2))
| c_lessequals(c_Union(X36,X2),X13,tc_set(X2))
| c_lessequals(X15,c_Union(X36,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_2) ).
fof(f1421,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OUnion__lemma0__1(v_m,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f1419,plain,
( spl0_4
<=> c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OUnion__lemma0__1(v_m,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1440,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1439,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1438,f1365]) ).
fof(f1438,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f1434,f1364]) ).
fof(f1434,plain,
( c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(resolution,[],[f1359,f1417]) ).
fof(f1417,plain,
( c_lessequals(c_Zorn_OUnion__lemma0__1(v_m,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1415,plain,
( spl0_3
<=> c_lessequals(c_Zorn_OUnion__lemma0__1(v_m,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1359,axiom,
! [X2,X36,X15,X13] :
( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X13,X15,X36,X2),X13,tc_set(X2))
| c_lessequals(c_Union(X36,X2),X13,tc_set(X2))
| c_lessequals(X15,c_Union(X36,X2),tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_1) ).
fof(f1422,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f1413,f1419,f1415]) ).
fof(f1413,plain,
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OUnion__lemma0__1(v_m,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(v_m,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1410,f1366]) ).
fof(f1366,axiom,
! [X41] :
( ~ c_in(X41,v_Y,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X41,tc_set(tc_set(t_a)))
| c_lessequals(X41,v_m,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1410,plain,
c_in(c_Zorn_OUnion__lemma0__1(v_m,c_Zorn_Osucc(v_S,v_m,t_a),v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))),
inference(resolution,[],[f1403,f1365]) ).
fof(f1403,plain,
! [X0] :
( c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_in(c_Zorn_OUnion__lemma0__1(v_m,X0,v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f1358,f1364]) ).
fof(f1358,axiom,
! [X2,X36,X15,X13] :
( c_lessequals(c_Union(X36,X2),X13,tc_set(X2))
| c_lessequals(X15,c_Union(X36,X2),tc_set(X2))
| c_in(c_Zorn_OUnion__lemma0__1(X13,X15,X36,X2),X36,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_OUnion__lemma0_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET852-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:26:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (1651)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53 % (1651)First to succeed.
% 0.20/0.53 % (1651)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (1651)------------------------------
% 0.20/0.53 % (1651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1651)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (1651)Memory used [KB]: 6908
% 0.20/0.53 % (1651)Time elapsed: 0.097 s
% 0.20/0.53 % (1651)Instructions burned: 9 (million)
% 0.20/0.53 % (1651)------------------------------
% 0.20/0.53 % (1651)------------------------------
% 0.20/0.53 % (1624)Success in time 0.173 s
%------------------------------------------------------------------------------