TSTP Solution File: SET847-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET847-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 : Tue Apr 30 20:40:31 EDT 2024
% Result : Unsatisfiable 2.19s 0.63s
% Output : CNFRefutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 59 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 27 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| c_in(V_c,V_B,T_a)
| c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f174,axiom,
! [V_a,T_a] : ~ c_in(V_a,c_emptyset,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f178,axiom,
! [V_A,T_a] : ~ c_less(V_A,c_emptyset,tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f302,axiom,
! [V_A,V_B,T_a] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_less(V_A,V_B,tc_set(T_a))
| V_A = V_B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f307,axiom,
! [V_A,V_B,T_a] :
( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f310,axiom,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1359,axiom,
! [V_Y,V_S,T_a] :
( ~ c_lessequals(V_Y,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(tc_set(T_a))))
| c_in(c_Union(V_Y,tc_set(T_a)),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1360,axiom,
! [V_c,V_S,T_a] :
( ~ c_in(V_c,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| c_in(V_c,c_Zorn_Ochain(V_S,T_a),tc_set(tc_set(T_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1362,axiom,
! [V_S,T_a] :
( ~ c_in(c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
| c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)) = c_Zorn_Osucc(V_S,c_Union(c_Zorn_OTFin(V_S,T_a),tc_set(T_a)),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1363,axiom,
! [V_c,V_S,T_a] :
( ~ c_in(V_c,c_minus(c_Zorn_Ochain(V_S,T_a),c_Zorn_Omaxchain(V_S,T_a),tc_set(tc_set(tc_set(T_a)))),tc_set(tc_set(T_a)))
| c_Zorn_Osucc(V_S,V_c,T_a) != V_c ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1364,negated_conjecture,
! [V_U] : ~ c_in(V_U,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1580,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2)
| c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
inference(cnf_transformation,[status(esa)],[f159]) ).
fof(f1604,plain,
! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
inference(cnf_transformation,[status(esa)],[f174]) ).
fof(f1610,plain,
! [X0,X1] : ~ c_less(X0,c_emptyset,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f178]) ).
fof(f1770,plain,
! [V_A,V_B] :
( ! [T_a] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_less(V_A,V_B,tc_set(T_a)) )
| V_A = V_B ),
inference(miniscoping,[status(esa)],[f302]) ).
fof(f1771,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| c_less(X0,X1,tc_set(X2))
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f1770]) ).
fof(f1779,plain,
! [X0,X1,X2] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f307]) ).
fof(f1783,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f310]) ).
fof(f2841,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(tc_set(X2))))
| c_in(c_Union(X0,tc_set(X2)),c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2))) ),
inference(cnf_transformation,[status(esa)],[f1359]) ).
fof(f2842,plain,
! [X0,X1,X2] :
( ~ c_in(X0,c_Zorn_OTFin(X1,X2),tc_set(tc_set(X2)))
| c_in(X0,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
inference(cnf_transformation,[status(esa)],[f1360]) ).
fof(f2844,plain,
! [X0,X1] :
( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))
| c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) ),
inference(cnf_transformation,[status(esa)],[f1362]) ).
fof(f2845,plain,
! [X0,X1,X2] :
( ~ c_in(X0,c_minus(c_Zorn_Ochain(X1,X2),c_Zorn_Omaxchain(X1,X2),tc_set(tc_set(tc_set(X2)))),tc_set(tc_set(X2)))
| c_Zorn_Osucc(X1,X0,X2) != X0 ),
inference(cnf_transformation,[status(esa)],[f1363]) ).
fof(f2846,plain,
! [X0] : ~ c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f1364]) ).
fof(f4699,plain,
! [X0] : c_lessequals(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a)))),
inference(resolution,[status(thm)],[f1779,f2846]) ).
fof(f4702,plain,
! [X0] :
( c_less(c_Zorn_Omaxchain(v_S,t_a),X0,tc_set(tc_set(tc_set(t_a))))
| c_Zorn_Omaxchain(v_S,t_a) = X0 ),
inference(resolution,[status(thm)],[f4699,f1771]) ).
fof(f4717,plain,
c_Zorn_Omaxchain(v_S,t_a) = c_emptyset,
inference(resolution,[status(thm)],[f4702,f1610]) ).
fof(f5977,plain,
! [X0,X1] :
( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))
| ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_minus(c_Zorn_Ochain(X0,X1),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(tc_set(X1)))),tc_set(tc_set(X1))) ),
inference(resolution,[status(thm)],[f2844,f2845]) ).
fof(f5978,plain,
! [X0,X1] :
( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))
| ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Ochain(X0,X1),tc_set(tc_set(X1)))
| c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))) ),
inference(resolution,[status(thm)],[f5977,f1580]) ).
fof(f5979,plain,
! [X0,X1] :
( ~ c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))
| c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f5978,f2842]) ).
fof(f5988,plain,
! [X0,X1] :
( c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1)))
| ~ c_lessequals(c_Zorn_OTFin(X0,X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(tc_set(X1)))) ),
inference(resolution,[status(thm)],[f5979,f2841]) ).
fof(f5989,plain,
! [X0,X1] : c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_Omaxchain(X0,X1),tc_set(tc_set(X1))),
inference(forward_subsumption_resolution,[status(thm)],[f5988,f1783]) ).
fof(f5990,plain,
c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_emptyset,tc_set(tc_set(t_a))),
inference(paramodulation,[status(thm)],[f4717,f5989]) ).
fof(f5991,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f5990,f1604]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SET847-1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n023.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 22:05:25 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.28 % Drodi V3.6.0
% 2.19/0.63 % Refutation found
% 2.19/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.19/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.81/0.66 % Elapsed time: 0.397943 seconds
% 2.81/0.66 % CPU time: 2.879952 seconds
% 2.81/0.66 % Total memory used: 137.885 MB
% 2.81/0.66 % Net memory used: 137.301 MB
%------------------------------------------------------------------------------