TSTP Solution File: SET848-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET848-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:35:22 EDT 2023
% Result : Unsatisfiable 3.19s 0.85s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 9 unt; 0 def)
% Number of atoms : 78 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 33 ~; 32 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 34 (; 34 !; 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(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,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1365,negated_conjecture,
c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1582,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(f1785,plain,
! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f310]) ).
fof(f2843,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(f2844,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(f2846,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(f2847,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(f2848,plain,
~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
inference(cnf_transformation,[status(esa)],[f1364]) ).
fof(f2849,plain,
c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
inference(cnf_transformation,[status(esa)],[f1365]) ).
fof(f2851,plain,
( spl0_0
<=> 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))) ),
introduced(split_symbol_definition) ).
fof(f2852,plain,
( 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)))
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f2851]) ).
fof(f2853,plain,
( ~ 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)))
| spl0_0 ),
inference(component_clause,[status(thm)],[f2851]) ).
fof(f2856,plain,
( spl0_1
<=> c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
introduced(split_symbol_definition) ).
fof(f2859,plain,
( ~ 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_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
inference(paramodulation,[status(thm)],[f2849,f2846]) ).
fof(f2860,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f2859,f2851,f2856]) ).
fof(f2863,plain,
( ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| spl0_0 ),
inference(resolution,[status(thm)],[f2853,f2843]) ).
fof(f4398,plain,
( $false
| spl0_0 ),
inference(backward_subsumption_resolution,[status(thm)],[f2863,f1785]) ).
fof(f4399,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f4398]) ).
fof(f22725,plain,
( c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f2844,f2852]) ).
fof(f22731,plain,
( spl0_759
<=> c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),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))) ),
introduced(split_symbol_definition) ).
fof(f22733,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),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)))
| spl0_759 ),
inference(component_clause,[status(thm)],[f22731]) ).
fof(f22734,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),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_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ),
inference(paramodulation,[status(thm)],[f2849,f2847]) ).
fof(f22735,plain,
( ~ spl0_759
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f22734,f22731,f2856]) ).
fof(f22744,plain,
( spl0_762
<=> c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(split_symbol_definition) ).
fof(f22746,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_762 ),
inference(component_clause,[status(thm)],[f22744]) ).
fof(f22747,plain,
( spl0_763
<=> c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(split_symbol_definition) ).
fof(f22748,plain,
( c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_763 ),
inference(component_clause,[status(thm)],[f22747]) ).
fof(f22750,plain,
( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| spl0_759 ),
inference(resolution,[status(thm)],[f22733,f1582]) ).
fof(f22751,plain,
( ~ spl0_762
| spl0_763
| spl0_759 ),
inference(split_clause,[status(thm)],[f22750,f22744,f22747,f22731]) ).
fof(f22752,plain,
( $false
| ~ spl0_0
| spl0_762 ),
inference(forward_subsumption_resolution,[status(thm)],[f22746,f22725]) ).
fof(f22753,plain,
( ~ spl0_0
| spl0_762 ),
inference(contradiction_clause,[status(thm)],[f22752]) ).
fof(f22754,plain,
( $false
| ~ spl0_763 ),
inference(forward_subsumption_resolution,[status(thm)],[f22748,f2848]) ).
fof(f22755,plain,
~ spl0_763,
inference(contradiction_clause,[status(thm)],[f22754]) ).
fof(f22756,plain,
$false,
inference(sat_refutation,[status(thm)],[f2860,f4399,f22735,f22751,f22753,f22755]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET848-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:16:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.37 % Drodi V3.5.1
% 3.19/0.85 % Refutation found
% 3.19/0.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.19/0.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.85/0.90 % Elapsed time: 0.538010 seconds
% 3.85/0.90 % CPU time: 3.855102 seconds
% 3.85/0.90 % Memory used: 154.608 MB
%------------------------------------------------------------------------------