TSTP Solution File: SET852-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET852-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 0.10s 0.32s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 43 ( 15 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 43 (; 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,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(f3,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(f4,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(f5,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(f6,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(f7,plain,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,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)],[f2]) ).
fof(f9,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)],[f3]) ).
fof(f10,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)],[f4]) ).
fof(f11,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)],[f10]) ).
fof(f12,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)],[f5]) ).
fof(f13,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)],[f12]) ).
fof(f14,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)],[f6]) ).
fof(f15,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)],[f14]) ).
fof(f16,plain,
! [X0] :
( c_in(c_Zorn_OUnion__lemma0__1(v_m,X0,v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f11,f7]) ).
fof(f17,plain,
! [X0] :
( c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OUnion__lemma0__1(v_m,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_OUnion__lemma0__1(v_m,X0,v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f16,f9]) ).
fof(f18,plain,
! [X0] :
( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(v_m,X0,v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f13,f7]) ).
fof(f19,plain,
! [X0] :
( c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_OUnion__lemma0__1(v_m,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(backward_subsumption_resolution,[status(thm)],[f17,f18]) ).
fof(f20,plain,
! [X0] :
( ~ c_lessequals(X0,c_Zorn_OUnion__lemma0__1(v_m,X0,v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(X0,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ),
inference(resolution,[status(thm)],[f15,f7]) ).
fof(f21,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))),
inference(resolution,[status(thm)],[f20,f8]) ).
fof(f22,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(resolution,[status(thm)],[f21,f19]) ).
fof(f23,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f22,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SET852-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n029.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:30:21 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.10/0.32 % Refutation found
% 0.10/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54 % Elapsed time: 0.010194 seconds
% 0.15/0.54 % CPU time: 0.009569 seconds
% 0.15/0.54 % Memory used: 499.112 KB
%------------------------------------------------------------------------------