TSTP Solution File: SET852-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET852-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 : Wed May 31 12:35:23 EDT 2023
% Result : Unsatisfiable 123.83s 16.02s
% Output : CNFRefutation 124.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 7 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 62 ( 21 ~; 39 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 42 (; 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1358,axiom,
! [V_A,V_B,V_C,T_a] :
( c_in(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_C,tc_set(T_a))
| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))
| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1359,axiom,
! [V_A,V_B,V_C,T_a] :
( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_A,tc_set(T_a))
| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))
| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1360,axiom,
! [V_B,V_A,V_C,T_a] :
( ~ c_lessequals(V_B,c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),tc_set(T_a))
| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))
| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1364,negated_conjecture,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1365,negated_conjecture,
~ 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f1366,negated_conjecture,
! [V_U] :
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),V_U,tc_set(tc_set(t_a)))
| c_lessequals(V_U,v_m,tc_set(tc_set(t_a)))
| ~ c_in(V_U,v_Y,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2843,plain,
! [V_A,V_C,T_a] :
( ! [V_B] :
( c_in(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_C,tc_set(T_a))
| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a)) )
| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ),
inference(miniscoping,[status(esa)],[f1358]) ).
fof(f2844,plain,
! [X0,X1,X2,X3] :
( c_in(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X2,tc_set(X3))
| c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
| c_lessequals(c_Union(X2,X3),X0,tc_set(X3)) ),
inference(cnf_transformation,[status(esa)],[f2843]) ).
fof(f2845,plain,
! [V_A,V_C,T_a] :
( ! [V_B] :
( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_A,tc_set(T_a))
| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a)) )
| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ),
inference(miniscoping,[status(esa)],[f1359]) ).
fof(f2846,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(X0,X1,X2,X3),X0,tc_set(X3))
| c_lessequals(X1,c_Union(X2,X3),tc_set(X3))
| c_lessequals(c_Union(X2,X3),X0,tc_set(X3)) ),
inference(cnf_transformation,[status(esa)],[f2845]) ).
fof(f2847,plain,
! [V_A,V_C,T_a] :
( ! [V_B] :
( ~ c_lessequals(V_B,c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),tc_set(T_a))
| c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a)) )
| c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ),
inference(miniscoping,[status(esa)],[f1360]) ).
fof(f2848,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X0,c_Zorn_OUnion__lemma0__1(X1,X0,X2,X3),tc_set(X3))
| c_lessequals(X0,c_Union(X2,X3),tc_set(X3))
| c_lessequals(c_Union(X2,X3),X1,tc_set(X3)) ),
inference(cnf_transformation,[status(esa)],[f2847]) ).
fof(f2853,plain,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f1364]) ).
fof(f2854,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))),
inference(cnf_transformation,[status(esa)],[f1365]) ).
fof(f2855,plain,
! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(tc_set(t_a)))
| c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X0,v_Y,tc_set(tc_set(t_a))) ),
inference(cnf_transformation,[status(esa)],[f1366]) ).
fof(f2857,plain,
( spl0_0
<=> c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
introduced(split_symbol_definition) ).
fof(f2858,plain,
( c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f2857]) ).
fof(f5040,plain,
! [X0,X1] :
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(X0,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X0,tc_set(t_a)),X1,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(X1,c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f2848,f2855]) ).
fof(f6867,plain,
! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(X0,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X0,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(v_m,c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(X0,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X0,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f5040,f2846]) ).
fof(f6868,plain,
! [X0] :
( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(X0,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Union(X0,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| ~ c_in(c_Zorn_OUnion__lemma0__1(v_m,c_Zorn_Osucc(v_S,v_m,t_a),X0,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))) ),
inference(duplicate_literals_removal,[status(esa)],[f6867]) ).
fof(f7113,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f2858,f2853]) ).
fof(f7114,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f7113]) ).
fof(f21195,plain,
( spl0_800
<=> 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))) ),
introduced(split_symbol_definition) ).
fof(f21196,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_800 ),
inference(component_clause,[status(thm)],[f21195]) ).
fof(f21198,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)))
| 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)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f6868,f2844]) ).
fof(f21199,plain,
( spl0_800
| spl0_0 ),
inference(split_clause,[status(thm)],[f21198,f21195,f2857]) ).
fof(f21200,plain,
( $false
| ~ spl0_800 ),
inference(forward_subsumption_resolution,[status(thm)],[f21196,f2854]) ).
fof(f21201,plain,
~ spl0_800,
inference(contradiction_clause,[status(thm)],[f21200]) ).
fof(f21202,plain,
$false,
inference(sat_refutation,[status(thm)],[f7114,f21199,f21201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET852-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 10:18:51 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.35 % Drodi V3.5.1
% 123.83/16.02 % Refutation found
% 123.83/16.02 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 123.83/16.02 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 125.02/16.22 % Elapsed time: 15.880592 seconds
% 125.02/16.22 % CPU time: 124.823216 seconds
% 125.02/16.22 % Memory used: 964.881 MB
%------------------------------------------------------------------------------