TSTP Solution File: SET837-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET837-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:40:29 EDT 2024
% Result : Unsatisfiable 16.99s 2.51s
% Output : CNFRefutation 16.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET837-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.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 : Mon Apr 29 20:56:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 16.99/2.51 % Refutation found
% 16.99/2.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.99/2.51 % SZS output start CNFRefutation for theBenchmark
% 16.99/2.51 fof(f1,negated_conjecture,(
% 16.99/2.51 ( v_X = c_union(v_Y,v_Z,t_a)| c_lessequals(v_Y,v_X,tc_set(t_a)) ) ),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f2,negated_conjecture,(
% 16.99/2.51 ( v_X = c_union(v_Y,v_Z,t_a)| c_lessequals(v_Z,v_X,tc_set(t_a)) ) ),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f3,negated_conjecture,(
% 16.99/2.51 ( c_lessequals(v_Y,v_x,tc_set(t_a))| ~ c_lessequals(v_Z,v_X,tc_set(t_a))| ~ c_lessequals(v_Y,v_X,tc_set(t_a))| v_X != c_union(v_Y,v_Z,t_a) ) ),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f4,negated_conjecture,(
% 16.99/2.51 ( c_lessequals(v_Z,v_x,tc_set(t_a))| ~ c_lessequals(v_Z,v_X,tc_set(t_a))| ~ c_lessequals(v_Y,v_X,tc_set(t_a))| v_X != c_union(v_Y,v_Z,t_a) ) ),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f5,negated_conjecture,(
% 16.99/2.51 ( ~ c_lessequals(v_X,v_x,tc_set(t_a))| ~ c_lessequals(v_Z,v_X,tc_set(t_a))| ~ c_lessequals(v_Y,v_X,tc_set(t_a))| v_X != c_union(v_Y,v_Z,t_a) ) ),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f6,negated_conjecture,(
% 16.99/2.51 (![V_U]: (( v_X = c_union(v_Y,v_Z,t_a)| c_lessequals(v_X,V_U,tc_set(t_a))| ~ c_lessequals(v_Z,V_U,tc_set(t_a))| ~ c_lessequals(v_Y,V_U,tc_set(t_a)) ) ))),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f7,axiom,(
% 16.99/2.51 (![V_c,V_B,T_a,V_A]: (( ~ c_in(V_c,V_B,T_a)| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ))),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f8,axiom,(
% 16.99/2.51 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ))),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f9,axiom,(
% 16.99/2.51 (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)| c_in(V_c,V_B,T_a)| c_in(V_c,V_A,T_a) ) ))),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f10,axiom,(
% 16.99/2.51 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_in(V_c,V_B,T_a) ) ))),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f11,axiom,(
% 16.99/2.51 (![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)) ) ))),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f12,axiom,(
% 16.99/2.51 (![V_A,V_B,T_a]: (( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f13,axiom,(
% 16.99/2.51 (![V_B,V_A,T_a]: (( ~ c_lessequals(V_B,V_A,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 16.99/2.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.99/2.51 fof(f14,plain,(
% 16.99/2.51 v_X=c_union(v_Y,v_Z,t_a)|c_lessequals(v_Y,v_X,tc_set(t_a))),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f1])).
% 16.99/2.51 fof(f15,plain,(
% 16.99/2.51 v_X=c_union(v_Y,v_Z,t_a)|c_lessequals(v_Z,v_X,tc_set(t_a))),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f2])).
% 16.99/2.51 fof(f16,plain,(
% 16.99/2.51 c_lessequals(v_Y,v_x,tc_set(t_a))|~c_lessequals(v_Z,v_X,tc_set(t_a))|~c_lessequals(v_Y,v_X,tc_set(t_a))|~v_X=c_union(v_Y,v_Z,t_a)),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f3])).
% 16.99/2.51 fof(f17,plain,(
% 16.99/2.51 c_lessequals(v_Z,v_x,tc_set(t_a))|~c_lessequals(v_Z,v_X,tc_set(t_a))|~c_lessequals(v_Y,v_X,tc_set(t_a))|~v_X=c_union(v_Y,v_Z,t_a)),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f4])).
% 16.99/2.51 fof(f18,plain,(
% 16.99/2.51 ~c_lessequals(v_X,v_x,tc_set(t_a))|~c_lessequals(v_Z,v_X,tc_set(t_a))|~c_lessequals(v_Y,v_X,tc_set(t_a))|~v_X=c_union(v_Y,v_Z,t_a)),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f5])).
% 16.99/2.51 fof(f19,plain,(
% 16.99/2.51 ![X0]: (v_X=c_union(v_Y,v_Z,t_a)|c_lessequals(v_X,X0,tc_set(t_a))|~c_lessequals(v_Z,X0,tc_set(t_a))|~c_lessequals(v_Y,X0,tc_set(t_a)))),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f6])).
% 16.99/2.51 fof(f20,plain,(
% 16.99/2.51 ![V_c,V_B,T_a]: (~c_in(V_c,V_B,T_a)|(![V_A]: c_in(V_c,c_union(V_A,V_B,T_a),T_a)))),
% 16.99/2.51 inference(miniscoping,[status(esa)],[f7])).
% 16.99/2.51 fof(f21,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X3,X1,X2),X2))),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f20])).
% 16.99/2.51 fof(f22,plain,(
% 16.99/2.51 ![V_c,V_A,T_a]: (~c_in(V_c,V_A,T_a)|(![V_B]: c_in(V_c,c_union(V_A,V_B,T_a),T_a)))),
% 16.99/2.51 inference(miniscoping,[status(esa)],[f8])).
% 16.99/2.51 fof(f23,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_union(X1,X3,X2),X2))),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f22])).
% 16.99/2.51 fof(f24,plain,(
% 16.99/2.51 ![V_c,V_A,T_a]: ((![V_B]: (~c_in(V_c,c_union(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a)))|c_in(V_c,V_A,T_a))),
% 16.99/2.51 inference(miniscoping,[status(esa)],[f9])).
% 16.99/2.51 fof(f25,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (~c_in(X0,c_union(X1,X2,X3),X3)|c_in(X0,X2,X3)|c_in(X0,X1,X3))),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f24])).
% 16.99/2.51 fof(f26,plain,(
% 16.99/2.51 ![V_c,T_a,V_B]: ((![V_A]: (~c_in(V_c,V_A,T_a)|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_in(V_c,V_B,T_a))),
% 16.99/2.51 inference(miniscoping,[status(esa)],[f10])).
% 16.99/2.51 fof(f27,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f26])).
% 16.99/2.51 fof(f28,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f11])).
% 16.99/2.51 fof(f29,plain,(
% 16.99/2.51 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f12])).
% 16.99/2.51 fof(f30,plain,(
% 16.99/2.51 ![V_B,V_A]: ((![T_a]: (~c_lessequals(V_B,V_A,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 16.99/2.51 inference(miniscoping,[status(esa)],[f13])).
% 16.99/2.51 fof(f31,plain,(
% 16.99/2.51 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 16.99/2.51 inference(cnf_transformation,[status(esa)],[f30])).
% 16.99/2.51 fof(f32,plain,(
% 16.99/2.51 spl0_0 <=> v_X=c_union(v_Y,v_Z,t_a)),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f33,plain,(
% 16.99/2.51 v_X=c_union(v_Y,v_Z,t_a)|~spl0_0),
% 16.99/2.51 inference(component_clause,[status(thm)],[f32])).
% 16.99/2.51 fof(f35,plain,(
% 16.99/2.51 spl0_1 <=> c_lessequals(v_Y,v_X,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f36,plain,(
% 16.99/2.51 c_lessequals(v_Y,v_X,tc_set(t_a))|~spl0_1),
% 16.99/2.51 inference(component_clause,[status(thm)],[f35])).
% 16.99/2.51 fof(f38,plain,(
% 16.99/2.51 spl0_0|spl0_1),
% 16.99/2.51 inference(split_clause,[status(thm)],[f14,f32,f35])).
% 16.99/2.51 fof(f39,plain,(
% 16.99/2.51 spl0_2 <=> c_lessequals(v_Z,v_X,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f40,plain,(
% 16.99/2.51 c_lessequals(v_Z,v_X,tc_set(t_a))|~spl0_2),
% 16.99/2.51 inference(component_clause,[status(thm)],[f39])).
% 16.99/2.51 fof(f42,plain,(
% 16.99/2.51 spl0_0|spl0_2),
% 16.99/2.51 inference(split_clause,[status(thm)],[f15,f32,f39])).
% 16.99/2.51 fof(f43,plain,(
% 16.99/2.51 spl0_3 <=> c_lessequals(v_Y,v_x,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f44,plain,(
% 16.99/2.51 c_lessequals(v_Y,v_x,tc_set(t_a))|~spl0_3),
% 16.99/2.51 inference(component_clause,[status(thm)],[f43])).
% 16.99/2.51 fof(f46,plain,(
% 16.99/2.51 spl0_3|~spl0_2|~spl0_1|~spl0_0),
% 16.99/2.51 inference(split_clause,[status(thm)],[f16,f43,f39,f35,f32])).
% 16.99/2.51 fof(f47,plain,(
% 16.99/2.51 spl0_4 <=> c_lessequals(v_Z,v_x,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f48,plain,(
% 16.99/2.51 c_lessequals(v_Z,v_x,tc_set(t_a))|~spl0_4),
% 16.99/2.51 inference(component_clause,[status(thm)],[f47])).
% 16.99/2.51 fof(f50,plain,(
% 16.99/2.51 spl0_4|~spl0_2|~spl0_1|~spl0_0),
% 16.99/2.51 inference(split_clause,[status(thm)],[f17,f47,f39,f35,f32])).
% 16.99/2.51 fof(f51,plain,(
% 16.99/2.51 spl0_5 <=> c_lessequals(v_X,v_x,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f53,plain,(
% 16.99/2.51 ~c_lessequals(v_X,v_x,tc_set(t_a))|spl0_5),
% 16.99/2.51 inference(component_clause,[status(thm)],[f51])).
% 16.99/2.51 fof(f54,plain,(
% 16.99/2.51 ~spl0_5|~spl0_2|~spl0_1|~spl0_0),
% 16.99/2.51 inference(split_clause,[status(thm)],[f18,f51,f39,f35,f32])).
% 16.99/2.51 fof(f55,plain,(
% 16.99/2.51 spl0_6 <=> c_lessequals(v_X,X0,tc_set(t_a))|~c_lessequals(v_Z,X0,tc_set(t_a))|~c_lessequals(v_Y,X0,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f56,plain,(
% 16.99/2.51 ![X0]: (c_lessequals(v_X,X0,tc_set(t_a))|~c_lessequals(v_Z,X0,tc_set(t_a))|~c_lessequals(v_Y,X0,tc_set(t_a))|~spl0_6)),
% 16.99/2.51 inference(component_clause,[status(thm)],[f55])).
% 16.99/2.51 fof(f58,plain,(
% 16.99/2.51 spl0_0|spl0_6),
% 16.99/2.51 inference(split_clause,[status(thm)],[f19,f32,f55])).
% 16.99/2.51 fof(f59,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X1,X2)|c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X0,X2))),
% 16.99/2.51 inference(resolution,[status(thm)],[f28,f25])).
% 16.99/2.51 fof(f171,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_lessequals(c_union(X0,X1,X2),X0,tc_set(X2))|c_lessequals(c_union(X0,X1,X2),X0,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X0,X2),X1,X2))),
% 16.99/2.51 inference(resolution,[status(thm)],[f29,f59])).
% 16.99/2.51 fof(f172,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_lessequals(c_union(X0,X1,X2),X0,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X0,X2),X1,X2))),
% 16.99/2.51 inference(duplicate_literals_removal,[status(esa)],[f171])).
% 16.99/2.51 fof(f175,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_lessequals(c_union(X0,X1,X2),X1,tc_set(X2))|c_lessequals(c_union(X0,X1,X2),X1,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X1,X2),X0,X2))),
% 16.99/2.51 inference(resolution,[status(thm)],[f29,f59])).
% 16.99/2.51 fof(f176,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_lessequals(c_union(X0,X1,X2),X1,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X1,X2),X0,X2))),
% 16.99/2.51 inference(duplicate_literals_removal,[status(esa)],[f175])).
% 16.99/2.51 fof(f177,plain,(
% 16.99/2.51 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1))|c_lessequals(X0,X0,tc_set(X1)))),
% 16.99/2.51 inference(resolution,[status(thm)],[f29,f28])).
% 16.99/2.51 fof(f178,plain,(
% 16.99/2.51 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 16.99/2.51 inference(duplicate_literals_removal,[status(esa)],[f177])).
% 16.99/2.51 fof(f179,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3))),
% 16.99/2.51 inference(resolution,[status(thm)],[f29,f23])).
% 16.99/2.51 fof(f180,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3))),
% 16.99/2.51 inference(resolution,[status(thm)],[f29,f21])).
% 16.99/2.51 fof(f184,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X3,X2)|~c_lessequals(X3,X1,tc_set(X2))|c_lessequals(X0,X1,tc_set(X2)))),
% 16.99/2.51 inference(resolution,[status(thm)],[f27,f29])).
% 16.99/2.51 fof(f262,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (c_lessequals(c_union(X0,X1,X2),c_union(X1,X3,X2),tc_set(X2))|c_lessequals(c_union(X0,X1,X2),c_union(X1,X3,X2),tc_set(X2))|c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X1,X3,X2),X2),X0,X2))),
% 16.99/2.51 inference(resolution,[status(thm)],[f179,f59])).
% 16.99/2.51 fof(f263,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (c_lessequals(c_union(X0,X1,X2),c_union(X1,X3,X2),tc_set(X2))|c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X1,X3,X2),X2),X0,X2))),
% 16.99/2.51 inference(duplicate_literals_removal,[status(esa)],[f262])).
% 16.99/2.51 fof(f264,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))|c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)))),
% 16.99/2.51 inference(resolution,[status(thm)],[f179,f28])).
% 16.99/2.51 fof(f265,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)))),
% 16.99/2.51 inference(duplicate_literals_removal,[status(esa)],[f264])).
% 16.99/2.51 fof(f267,plain,(
% 16.99/2.51 ![X0,X1,X2,X3,X4]: (c_lessequals(X0,c_union(c_union(X1,X2,X3),X4,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_union(c_union(X1,X2,X3),X4,X3),X3),X2,X3))),
% 16.99/2.51 inference(resolution,[status(thm)],[f179,f21])).
% 16.99/2.51 fof(f341,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (c_lessequals(c_union(X0,X1,X2),c_union(X3,X0,X2),tc_set(X2))|c_lessequals(c_union(X0,X1,X2),c_union(X3,X0,X2),tc_set(X2))|c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X3,X0,X2),X2),X1,X2))),
% 16.99/2.51 inference(resolution,[status(thm)],[f180,f59])).
% 16.99/2.51 fof(f342,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (c_lessequals(c_union(X0,X1,X2),c_union(X3,X0,X2),tc_set(X2))|c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),c_union(X3,X0,X2),X2),X1,X2))),
% 16.99/2.51 inference(duplicate_literals_removal,[status(esa)],[f341])).
% 16.99/2.51 fof(f347,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))|c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)))),
% 16.99/2.51 inference(resolution,[status(thm)],[f180,f28])).
% 16.99/2.51 fof(f348,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)))),
% 16.99/2.51 inference(duplicate_literals_removal,[status(esa)],[f347])).
% 16.99/2.51 fof(f349,plain,(
% 16.99/2.51 ![X0,X1,X2,X3,X4]: (c_lessequals(X0,c_union(X1,c_union(X2,X3,X4),X4),tc_set(X4))|~c_in(c_Main_OsubsetI__1(X0,c_union(X1,c_union(X2,X3,X4),X4),X4),X2,X4))),
% 16.99/2.51 inference(resolution,[status(thm)],[f180,f23])).
% 16.99/2.51 fof(f356,plain,(
% 16.99/2.51 ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x,t_a),v_Y,t_a)|c_lessequals(X0,v_x,tc_set(t_a))|~spl0_3)),
% 16.99/2.51 inference(resolution,[status(thm)],[f44,f184])).
% 16.99/2.51 fof(f365,plain,(
% 16.99/2.51 ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_x,t_a),v_Z,t_a)|c_lessequals(X0,v_x,tc_set(t_a))|~spl0_4)),
% 16.99/2.51 inference(resolution,[status(thm)],[f48,f184])).
% 16.99/2.51 fof(f374,plain,(
% 16.99/2.51 ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)|c_lessequals(X0,v_X,tc_set(t_a))|~spl0_2)),
% 16.99/2.51 inference(resolution,[status(thm)],[f40,f184])).
% 16.99/2.51 fof(f383,plain,(
% 16.99/2.51 ![X0]: (~c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)|c_lessequals(X0,v_X,tc_set(t_a))|~spl0_1)),
% 16.99/2.51 inference(resolution,[status(thm)],[f36,f184])).
% 16.99/2.51 fof(f392,plain,(
% 16.99/2.51 spl0_15 <=> c_lessequals(v_X,v_X,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f394,plain,(
% 16.99/2.51 ~c_lessequals(v_X,v_X,tc_set(t_a))|spl0_15),
% 16.99/2.51 inference(component_clause,[status(thm)],[f392])).
% 16.99/2.51 fof(f700,plain,(
% 16.99/2.51 ![X0]: (c_lessequals(v_X,c_union(v_Y,X0,t_a),tc_set(t_a))|~c_lessequals(v_Z,c_union(v_Y,X0,t_a),tc_set(t_a))|~spl0_6)),
% 16.99/2.51 inference(resolution,[status(thm)],[f265,f56])).
% 16.99/2.51 fof(f702,plain,(
% 16.99/2.51 ![X0,X1,X2]: (~c_lessequals(c_union(X0,X1,X2),X0,tc_set(X2))|X0=c_union(X0,X1,X2))),
% 16.99/2.51 inference(resolution,[status(thm)],[f265,f31])).
% 16.99/2.51 fof(f703,plain,(
% 16.99/2.51 c_lessequals(v_Y,v_X,tc_set(t_a))|~spl0_0),
% 16.99/2.51 inference(paramodulation,[status(thm)],[f33,f265])).
% 16.99/2.51 fof(f704,plain,(
% 16.99/2.51 spl0_1|~spl0_0),
% 16.99/2.51 inference(split_clause,[status(thm)],[f703,f35,f32])).
% 16.99/2.51 fof(f819,plain,(
% 16.99/2.51 ![X0,X1,X2]: (~c_lessequals(c_union(X0,X1,X2),X1,tc_set(X2))|X1=c_union(X0,X1,X2))),
% 16.99/2.51 inference(resolution,[status(thm)],[f348,f31])).
% 16.99/2.51 fof(f905,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2))|c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)))),
% 16.99/2.51 inference(resolution,[status(thm)],[f263,f180])).
% 16.99/2.51 fof(f906,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)))),
% 16.99/2.51 inference(duplicate_literals_removal,[status(esa)],[f905])).
% 16.99/2.51 fof(f1160,plain,(
% 16.99/2.51 c_lessequals(v_Z,v_X,tc_set(t_a))|~spl0_0),
% 16.99/2.51 inference(paramodulation,[status(thm)],[f33,f348])).
% 16.99/2.51 fof(f1161,plain,(
% 16.99/2.51 spl0_2|~spl0_0),
% 16.99/2.51 inference(split_clause,[status(thm)],[f1160,f39,f32])).
% 16.99/2.51 fof(f1392,plain,(
% 16.99/2.51 ![X0,X1,X2]: (~c_lessequals(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2))|c_union(X1,X0,X2)=c_union(X0,X1,X2))),
% 16.99/2.51 inference(resolution,[status(thm)],[f906,f31])).
% 16.99/2.51 fof(f1393,plain,(
% 16.99/2.51 ![X0,X1,X2]: (c_union(X0,X1,X2)=c_union(X1,X0,X2))),
% 16.99/2.51 inference(forward_subsumption_resolution,[status(thm)],[f1392,f906])).
% 16.99/2.51 fof(f1416,plain,(
% 16.99/2.51 ![X0,X1,X2]: (~c_lessequals(c_union(X0,X1,X2),X0,tc_set(X2))|X0=c_union(X1,X0,X2))),
% 16.99/2.51 inference(paramodulation,[status(thm)],[f1393,f819])).
% 16.99/2.51 fof(f1417,plain,(
% 16.99/2.51 ![X0,X1,X2]: (~c_lessequals(c_union(X0,X1,X2),X1,tc_set(X2))|X1=c_union(X1,X0,X2))),
% 16.99/2.51 inference(paramodulation,[status(thm)],[f1393,f702])).
% 16.99/2.51 fof(f1593,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (c_lessequals(c_union(X0,X1,X2),c_union(c_union(X3,X1,X2),X0,X2),tc_set(X2))|c_lessequals(c_union(X0,X1,X2),c_union(c_union(X3,X1,X2),X0,X2),tc_set(X2)))),
% 16.99/2.51 inference(resolution,[status(thm)],[f342,f267])).
% 16.99/2.51 fof(f1594,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (c_lessequals(c_union(X0,X1,X2),c_union(c_union(X3,X1,X2),X0,X2),tc_set(X2)))),
% 16.99/2.51 inference(duplicate_literals_removal,[status(esa)],[f1593])).
% 16.99/2.51 fof(f1726,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (c_lessequals(c_union(X0,X1,X2),c_union(X1,c_union(X0,X3,X2),X2),tc_set(X2))|c_lessequals(c_union(X0,X1,X2),c_union(X1,c_union(X0,X3,X2),X2),tc_set(X2)))),
% 16.99/2.51 inference(resolution,[status(thm)],[f349,f263])).
% 16.99/2.51 fof(f1727,plain,(
% 16.99/2.51 ![X0,X1,X2,X3]: (c_lessequals(c_union(X0,X1,X2),c_union(X1,c_union(X0,X3,X2),X2),tc_set(X2)))),
% 16.99/2.51 inference(duplicate_literals_removal,[status(esa)],[f1726])).
% 16.99/2.51 fof(f1907,plain,(
% 16.99/2.51 spl0_31 <=> c_lessequals(c_union(v_X,v_Y,t_a),v_X,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f1908,plain,(
% 16.99/2.51 c_lessequals(c_union(v_X,v_Y,t_a),v_X,tc_set(t_a))|~spl0_31),
% 16.99/2.51 inference(component_clause,[status(thm)],[f1907])).
% 16.99/2.51 fof(f1910,plain,(
% 16.99/2.51 c_lessequals(c_union(v_X,v_Y,t_a),v_X,tc_set(t_a))|c_lessequals(c_union(v_X,v_Y,t_a),v_X,tc_set(t_a))|~spl0_1),
% 16.99/2.51 inference(resolution,[status(thm)],[f383,f172])).
% 16.99/2.51 fof(f1911,plain,(
% 16.99/2.51 spl0_31|~spl0_1),
% 16.99/2.51 inference(split_clause,[status(thm)],[f1910,f1907,f35])).
% 16.99/2.51 fof(f1982,plain,(
% 16.99/2.51 spl0_36 <=> c_lessequals(c_union(v_x,v_Y,t_a),v_x,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f1983,plain,(
% 16.99/2.51 c_lessequals(c_union(v_x,v_Y,t_a),v_x,tc_set(t_a))|~spl0_36),
% 16.99/2.51 inference(component_clause,[status(thm)],[f1982])).
% 16.99/2.51 fof(f1985,plain,(
% 16.99/2.51 c_lessequals(c_union(v_x,v_Y,t_a),v_x,tc_set(t_a))|c_lessequals(c_union(v_x,v_Y,t_a),v_x,tc_set(t_a))|~spl0_3),
% 16.99/2.51 inference(resolution,[status(thm)],[f356,f172])).
% 16.99/2.51 fof(f1986,plain,(
% 16.99/2.51 spl0_36|~spl0_3),
% 16.99/2.51 inference(split_clause,[status(thm)],[f1985,f1982,f43])).
% 16.99/2.51 fof(f2012,plain,(
% 16.99/2.51 c_lessequals(c_union(v_Y,v_x,t_a),v_x,tc_set(t_a))|~spl0_36),
% 16.99/2.51 inference(forward_demodulation,[status(thm)],[f1393,f1983])).
% 16.99/2.51 fof(f5384,plain,(
% 16.99/2.51 spl0_42 <=> c_lessequals(c_union(v_X,v_Z,t_a),v_X,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f5385,plain,(
% 16.99/2.51 c_lessequals(c_union(v_X,v_Z,t_a),v_X,tc_set(t_a))|~spl0_42),
% 16.99/2.51 inference(component_clause,[status(thm)],[f5384])).
% 16.99/2.51 fof(f5445,plain,(
% 16.99/2.51 $false|spl0_15),
% 16.99/2.51 inference(forward_subsumption_resolution,[status(thm)],[f394,f178])).
% 16.99/2.51 fof(f5446,plain,(
% 16.99/2.51 spl0_15),
% 16.99/2.51 inference(contradiction_clause,[status(thm)],[f5445])).
% 16.99/2.51 fof(f5568,plain,(
% 16.99/2.51 c_lessequals(c_union(v_X,v_Z,t_a),v_X,tc_set(t_a))|c_lessequals(c_union(v_X,v_Z,t_a),v_X,tc_set(t_a))|~spl0_2),
% 16.99/2.51 inference(resolution,[status(thm)],[f374,f172])).
% 16.99/2.51 fof(f5569,plain,(
% 16.99/2.51 spl0_42|~spl0_2),
% 16.99/2.51 inference(split_clause,[status(thm)],[f5568,f5384,f39])).
% 16.99/2.51 fof(f5603,plain,(
% 16.99/2.51 spl0_53 <=> c_lessequals(v_x,c_union(v_X,v_x,t_a),tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f5605,plain,(
% 16.99/2.51 ~c_lessequals(v_x,c_union(v_X,v_x,t_a),tc_set(t_a))|spl0_53),
% 16.99/2.51 inference(component_clause,[status(thm)],[f5603])).
% 16.99/2.51 fof(f5611,plain,(
% 16.99/2.51 $false|spl0_53),
% 16.99/2.51 inference(forward_subsumption_resolution,[status(thm)],[f5605,f348])).
% 16.99/2.51 fof(f5612,plain,(
% 16.99/2.51 spl0_53),
% 16.99/2.51 inference(contradiction_clause,[status(thm)],[f5611])).
% 16.99/2.51 fof(f5742,plain,(
% 16.99/2.51 spl0_55 <=> c_lessequals(v_x,v_x,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f5744,plain,(
% 16.99/2.51 ~c_lessequals(v_x,v_x,tc_set(t_a))|spl0_55),
% 16.99/2.51 inference(component_clause,[status(thm)],[f5742])).
% 16.99/2.51 fof(f5850,plain,(
% 16.99/2.51 v_X=c_union(v_X,v_Z,t_a)|~spl0_42),
% 16.99/2.51 inference(resolution,[status(thm)],[f5385,f702])).
% 16.99/2.51 fof(f5854,plain,(
% 16.99/2.51 spl0_63 <=> c_lessequals(v_X,c_union(v_X,v_Z,t_a),tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f5856,plain,(
% 16.99/2.51 ~c_lessequals(v_X,c_union(v_X,v_Z,t_a),tc_set(t_a))|spl0_63),
% 16.99/2.51 inference(component_clause,[status(thm)],[f5854])).
% 16.99/2.51 fof(f5859,plain,(
% 16.99/2.51 $false|spl0_63),
% 16.99/2.51 inference(forward_subsumption_resolution,[status(thm)],[f5856,f265])).
% 16.99/2.51 fof(f5860,plain,(
% 16.99/2.51 spl0_63),
% 16.99/2.51 inference(contradiction_clause,[status(thm)],[f5859])).
% 16.99/2.51 fof(f5905,plain,(
% 16.99/2.51 ![X0]: (c_lessequals(c_union(X0,v_Z,t_a),c_union(v_X,X0,t_a),tc_set(t_a))|~spl0_42)),
% 16.99/2.51 inference(paramodulation,[status(thm)],[f5850,f1594])).
% 16.99/2.51 fof(f8093,plain,(
% 16.99/2.51 v_x=c_union(v_x,v_Y,t_a)|~spl0_36),
% 16.99/2.51 inference(resolution,[status(thm)],[f2012,f1417])).
% 16.99/2.51 fof(f8094,plain,(
% 16.99/2.51 v_x=c_union(v_Y,v_x,t_a)|~spl0_36),
% 16.99/2.51 inference(forward_demodulation,[status(thm)],[f1393,f8093])).
% 16.99/2.51 fof(f8099,plain,(
% 16.99/2.51 spl0_66 <=> c_lessequals(v_x,c_union(v_Y,v_x,t_a),tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f8101,plain,(
% 16.99/2.51 ~c_lessequals(v_x,c_union(v_Y,v_x,t_a),tc_set(t_a))|spl0_66),
% 16.99/2.51 inference(component_clause,[status(thm)],[f8099])).
% 16.99/2.51 fof(f8107,plain,(
% 16.99/2.51 $false|spl0_66),
% 16.99/2.51 inference(forward_subsumption_resolution,[status(thm)],[f8101,f348])).
% 16.99/2.51 fof(f8108,plain,(
% 16.99/2.51 spl0_66),
% 16.99/2.51 inference(contradiction_clause,[status(thm)],[f8107])).
% 16.99/2.51 fof(f8169,plain,(
% 16.99/2.51 ![X0]: (c_lessequals(c_union(v_Y,X0,t_a),c_union(X0,v_x,t_a),tc_set(t_a))|~spl0_36)),
% 16.99/2.51 inference(paramodulation,[status(thm)],[f8094,f1727])).
% 16.99/2.51 fof(f8397,plain,(
% 16.99/2.51 $false|spl0_55),
% 16.99/2.51 inference(forward_subsumption_resolution,[status(thm)],[f5744,f178])).
% 16.99/2.51 fof(f8398,plain,(
% 16.99/2.51 spl0_55),
% 16.99/2.51 inference(contradiction_clause,[status(thm)],[f8397])).
% 16.99/2.51 fof(f8429,plain,(
% 16.99/2.51 v_X=c_union(v_Y,v_X,t_a)|~spl0_31),
% 16.99/2.51 inference(resolution,[status(thm)],[f1908,f1416])).
% 16.99/2.51 fof(f8430,plain,(
% 16.99/2.51 v_X=c_union(v_X,v_Y,t_a)|~spl0_31),
% 16.99/2.51 inference(forward_demodulation,[status(thm)],[f1393,f8429])).
% 16.99/2.51 fof(f8435,plain,(
% 16.99/2.51 spl0_74 <=> c_lessequals(v_X,c_union(v_X,v_Y,t_a),tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f8437,plain,(
% 16.99/2.51 ~c_lessequals(v_X,c_union(v_X,v_Y,t_a),tc_set(t_a))|spl0_74),
% 16.99/2.51 inference(component_clause,[status(thm)],[f8435])).
% 16.99/2.51 fof(f8443,plain,(
% 16.99/2.51 $false|spl0_74),
% 16.99/2.51 inference(forward_subsumption_resolution,[status(thm)],[f8437,f265])).
% 16.99/2.51 fof(f8444,plain,(
% 16.99/2.51 spl0_74),
% 16.99/2.51 inference(contradiction_clause,[status(thm)],[f8443])).
% 16.99/2.51 fof(f10333,plain,(
% 16.99/2.51 c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))|~spl0_42|~spl0_31),
% 16.99/2.51 inference(paramodulation,[status(thm)],[f8430,f5905])).
% 16.99/2.51 fof(f10346,plain,(
% 16.99/2.51 spl0_97 <=> c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f10348,plain,(
% 16.99/2.51 ~c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))|spl0_97),
% 16.99/2.51 inference(component_clause,[status(thm)],[f10346])).
% 16.99/2.51 fof(f10349,plain,(
% 16.99/2.51 ~c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))|c_union(v_Y,v_Z,t_a)=v_X|~spl0_42|~spl0_31),
% 16.99/2.51 inference(resolution,[status(thm)],[f10333,f31])).
% 16.99/2.51 fof(f10350,plain,(
% 16.99/2.51 ~spl0_97|spl0_0|~spl0_42|~spl0_31),
% 16.99/2.51 inference(split_clause,[status(thm)],[f10349,f10346,f32,f5384,f1907])).
% 16.99/2.51 fof(f15176,plain,(
% 16.99/2.51 spl0_126 <=> c_lessequals(v_x,c_union(v_Z,v_x,t_a),tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f15178,plain,(
% 16.99/2.51 ~c_lessequals(v_x,c_union(v_Z,v_x,t_a),tc_set(t_a))|spl0_126),
% 16.99/2.51 inference(component_clause,[status(thm)],[f15176])).
% 16.99/2.51 fof(f15179,plain,(
% 16.99/2.51 spl0_127 <=> c_union(v_Z,v_x,t_a)=v_x),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f15180,plain,(
% 16.99/2.51 c_union(v_Z,v_x,t_a)=v_x|~spl0_127),
% 16.99/2.51 inference(component_clause,[status(thm)],[f15179])).
% 16.99/2.51 fof(f15184,plain,(
% 16.99/2.51 $false|spl0_126),
% 16.99/2.51 inference(forward_subsumption_resolution,[status(thm)],[f15178,f348])).
% 16.99/2.51 fof(f15185,plain,(
% 16.99/2.51 spl0_126),
% 16.99/2.51 inference(contradiction_clause,[status(thm)],[f15184])).
% 16.99/2.51 fof(f21673,plain,(
% 16.99/2.51 c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))|~spl0_6),
% 16.99/2.51 inference(resolution,[status(thm)],[f700,f348])).
% 16.99/2.51 fof(f21674,plain,(
% 16.99/2.51 $false|spl0_97|~spl0_6),
% 16.99/2.51 inference(forward_subsumption_resolution,[status(thm)],[f21673,f10348])).
% 16.99/2.51 fof(f21675,plain,(
% 16.99/2.51 spl0_97|~spl0_6),
% 16.99/2.51 inference(contradiction_clause,[status(thm)],[f21674])).
% 16.99/2.51 fof(f30270,plain,(
% 16.99/2.51 spl0_181 <=> v_x=c_union(v_x,v_Z,t_a)),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f30271,plain,(
% 16.99/2.51 v_x=c_union(v_x,v_Z,t_a)|~spl0_181),
% 16.99/2.51 inference(component_clause,[status(thm)],[f30270])).
% 16.99/2.51 fof(f30306,plain,(
% 16.99/2.51 spl0_183 <=> c_lessequals(c_union(v_Z,v_x,t_a),v_x,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f30307,plain,(
% 16.99/2.51 c_lessequals(c_union(v_Z,v_x,t_a),v_x,tc_set(t_a))|~spl0_183),
% 16.99/2.51 inference(component_clause,[status(thm)],[f30306])).
% 16.99/2.51 fof(f30367,plain,(
% 16.99/2.51 v_x=c_union(v_Z,v_x,t_a)|~spl0_181),
% 16.99/2.51 inference(forward_demodulation,[status(thm)],[f1393,f30271])).
% 16.99/2.51 fof(f35485,plain,(
% 16.99/2.51 spl0_190 <=> c_lessequals(v_Z,v_Z,tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f35487,plain,(
% 16.99/2.51 ~c_lessequals(v_Z,v_Z,tc_set(t_a))|spl0_190),
% 16.99/2.51 inference(component_clause,[status(thm)],[f35485])).
% 16.99/2.51 fof(f35534,plain,(
% 16.99/2.51 $false|spl0_190),
% 16.99/2.51 inference(forward_subsumption_resolution,[status(thm)],[f35487,f178])).
% 16.99/2.51 fof(f35535,plain,(
% 16.99/2.51 spl0_190),
% 16.99/2.51 inference(contradiction_clause,[status(thm)],[f35534])).
% 16.99/2.51 fof(f36865,plain,(
% 16.99/2.51 ~c_lessequals(v_x,v_x,tc_set(t_a))|v_x=c_union(v_Z,v_x,t_a)|~spl0_181),
% 16.99/2.51 inference(paramodulation,[status(thm)],[f30367,f819])).
% 16.99/2.51 fof(f36866,plain,(
% 16.99/2.51 ~spl0_55|spl0_127|~spl0_181),
% 16.99/2.51 inference(split_clause,[status(thm)],[f36865,f5742,f15179,f30270])).
% 16.99/2.51 fof(f41857,plain,(
% 16.99/2.51 spl0_193 <=> c_lessequals(v_Z,c_union(v_Z,v_x,t_a),tc_set(t_a))),
% 16.99/2.51 introduced(split_symbol_definition)).
% 16.99/2.51 fof(f41859,plain,(
% 16.99/2.51 ~c_lessequals(v_Z,c_union(v_Z,v_x,t_a),tc_set(t_a))|spl0_193),
% 16.99/2.51 inference(component_clause,[status(thm)],[f41857])).
% 16.99/2.51 fof(f41862,plain,(
% 16.99/2.51 $false|spl0_193),
% 16.99/2.51 inference(forward_subsumption_resolution,[status(thm)],[f41859,f265])).
% 16.99/2.51 fof(f41863,plain,(
% 16.99/2.51 spl0_193),
% 16.99/2.51 inference(contradiction_clause,[status(thm)],[f41862])).
% 16.99/2.51 fof(f41864,plain,(
% 16.99/2.51 v_x=c_union(v_x,v_Z,t_a)|~spl0_183),
% 16.99/2.51 inference(resolution,[status(thm)],[f30307,f1417])).
% 16.99/2.51 fof(f41865,plain,(
% 16.99/2.51 spl0_181|~spl0_183),
% 16.99/2.51 inference(split_clause,[status(thm)],[f41864,f30270,f30306])).
% 16.99/2.54 fof(f45338,plain,(
% 16.99/2.54 spl0_199 <=> c_lessequals(c_union(v_Y,v_Z,t_a),v_x,tc_set(t_a))),
% 16.99/2.54 introduced(split_symbol_definition)).
% 16.99/2.54 fof(f45339,plain,(
% 16.99/2.54 c_lessequals(c_union(v_Y,v_Z,t_a),v_x,tc_set(t_a))|~spl0_199),
% 16.99/2.54 inference(component_clause,[status(thm)],[f45338])).
% 16.99/2.54 fof(f45455,plain,(
% 16.99/2.54 c_lessequals(v_X,v_x,tc_set(t_a))|~spl0_0|~spl0_199),
% 16.99/2.54 inference(forward_demodulation,[status(thm)],[f33,f45339])).
% 16.99/2.54 fof(f45456,plain,(
% 16.99/2.54 $false|spl0_5|~spl0_0|~spl0_199),
% 16.99/2.54 inference(forward_subsumption_resolution,[status(thm)],[f45455,f53])).
% 16.99/2.54 fof(f45457,plain,(
% 16.99/2.54 spl0_5|~spl0_0|~spl0_199),
% 16.99/2.54 inference(contradiction_clause,[status(thm)],[f45456])).
% 16.99/2.54 fof(f45714,plain,(
% 16.99/2.54 c_lessequals(c_union(v_Z,v_x,t_a),v_x,tc_set(t_a))|c_lessequals(c_union(v_Z,v_x,t_a),v_x,tc_set(t_a))|~spl0_4),
% 16.99/2.54 inference(resolution,[status(thm)],[f365,f176])).
% 16.99/2.54 fof(f45715,plain,(
% 16.99/2.54 spl0_183|~spl0_4),
% 16.99/2.54 inference(split_clause,[status(thm)],[f45714,f30306,f47])).
% 16.99/2.54 fof(f47670,plain,(
% 16.99/2.54 c_lessequals(c_union(v_Y,v_Z,t_a),v_x,tc_set(t_a))|~spl0_36|~spl0_127),
% 16.99/2.54 inference(paramodulation,[status(thm)],[f15180,f8169])).
% 16.99/2.54 fof(f47671,plain,(
% 16.99/2.54 spl0_199|~spl0_36|~spl0_127),
% 16.99/2.54 inference(split_clause,[status(thm)],[f47670,f45338,f1982,f15179])).
% 16.99/2.54 fof(f48544,plain,(
% 16.99/2.54 $false),
% 16.99/2.54 inference(sat_refutation,[status(thm)],[f38,f42,f46,f50,f54,f58,f704,f1161,f1911,f1986,f5446,f5569,f5612,f5860,f8108,f8398,f8444,f10350,f15185,f21675,f35535,f36866,f41863,f41865,f45457,f45715,f47671])).
% 16.99/2.54 % SZS output end CNFRefutation for theBenchmark.p
% 16.99/2.56 % Elapsed time: 2.201113 seconds
% 16.99/2.56 % CPU time: 17.315986 seconds
% 16.99/2.56 % Total memory used: 262.168 MB
% 16.99/2.56 % Net memory used: 256.608 MB
%------------------------------------------------------------------------------