%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET831-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:12:41 PM UTC 2026
% Result : Unsatisfiable 14.35s 7.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET831-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n017.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Mon Sep 21 05:35:47 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 14.35/7.33 % Refutation found
% 14.35/7.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.35/7.33 % SZS output start CNFRefutation for theBenchmark
% 14.35/7.33 fof(f1,negated_conjecture,(
% 14.35/7.33 ( v_X = c_inter(v_Y,v_Z,t_a)| c_lessequals(v_X,v_Y,tc_set(t_a)) ) ),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f2,negated_conjecture,(
% 14.35/7.33 ( v_X = c_inter(v_Y,v_Z,t_a)| c_lessequals(v_X,v_Z,tc_set(t_a)) ) ),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f3,negated_conjecture,(
% 14.35/7.33 ( c_lessequals(v_x,v_Y,tc_set(t_a))| ~ c_lessequals(v_X,v_Z,tc_set(t_a))| ~ c_lessequals(v_X,v_Y,tc_set(t_a))| v_X != c_inter(v_Y,v_Z,t_a) ) ),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f4,negated_conjecture,(
% 14.35/7.33 ( c_lessequals(v_x,v_Z,tc_set(t_a))| ~ c_lessequals(v_X,v_Z,tc_set(t_a))| ~ c_lessequals(v_X,v_Y,tc_set(t_a))| v_X != c_inter(v_Y,v_Z,t_a) ) ),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f5,negated_conjecture,(
% 14.35/7.33 ( ~ c_lessequals(v_x,v_X,tc_set(t_a))| ~ c_lessequals(v_X,v_Z,tc_set(t_a))| ~ c_lessequals(v_X,v_Y,tc_set(t_a))| v_X != c_inter(v_Y,v_Z,t_a) ) ),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f6,negated_conjecture,(
% 14.35/7.33 (![V_U]: (( v_X = c_inter(v_Y,v_Z,t_a)| c_lessequals(V_U,v_X,tc_set(t_a))| ~ c_lessequals(V_U,v_Z,tc_set(t_a))| ~ c_lessequals(V_U,v_Y,tc_set(t_a)) ) ))),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f7,axiom,(
% 14.35/7.33 (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)| c_in(V_c,V_B,T_a) ) ))),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f8,axiom,(
% 14.35/7.33 (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)| c_in(V_c,V_A,T_a) ) ))),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f9,axiom,(
% 14.35/7.33 (![V_c,V_B,T_a,V_A]: (( ~ c_in(V_c,V_B,T_a)| ~ c_in(V_c,V_A,T_a)| c_in(V_c,c_inter(V_A,V_B,T_a),T_a) ) ))),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f10,axiom,(
% 14.35/7.33 (![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) ) ))),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f11,axiom,(
% 14.35/7.33 (![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)) ) ))),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f12,axiom,(
% 14.35/7.33 (![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)) ) ))),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f13,axiom,(
% 14.35/7.33 (![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 ) ))),
% 14.35/7.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.35/7.33 fof(f14,plain,(
% 14.35/7.33 v_X=c_inter(v_Y,v_Z,t_a)|c_lessequals(v_X,v_Y,tc_set(t_a))),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f1])).
% 14.35/7.33 fof(f15,plain,(
% 14.35/7.33 v_X=c_inter(v_Y,v_Z,t_a)|c_lessequals(v_X,v_Z,tc_set(t_a))),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f2])).
% 14.35/7.33 fof(f16,plain,(
% 14.35/7.33 c_lessequals(v_x,v_Y,tc_set(t_a))|~c_lessequals(v_X,v_Z,tc_set(t_a))|~c_lessequals(v_X,v_Y,tc_set(t_a))|~v_X=c_inter(v_Y,v_Z,t_a)),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f3])).
% 14.35/7.33 fof(f17,plain,(
% 14.35/7.33 c_lessequals(v_x,v_Z,tc_set(t_a))|~c_lessequals(v_X,v_Z,tc_set(t_a))|~c_lessequals(v_X,v_Y,tc_set(t_a))|~v_X=c_inter(v_Y,v_Z,t_a)),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f4])).
% 14.35/7.33 fof(f18,plain,(
% 14.35/7.33 ~c_lessequals(v_x,v_X,tc_set(t_a))|~c_lessequals(v_X,v_Z,tc_set(t_a))|~c_lessequals(v_X,v_Y,tc_set(t_a))|~v_X=c_inter(v_Y,v_Z,t_a)),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f5])).
% 14.35/7.33 fof(f19,plain,(
% 14.35/7.33 ![X0]: (v_X=c_inter(v_Y,v_Z,t_a)|c_lessequals(X0,v_X,tc_set(t_a))|~c_lessequals(X0,v_Z,tc_set(t_a))|~c_lessequals(X0,v_Y,tc_set(t_a)))),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f6])).
% 14.35/7.33 fof(f20,plain,(
% 14.35/7.33 ![V_c,V_B,T_a]: ((![V_A]: ~c_in(V_c,c_inter(V_A,V_B,T_a),T_a))|c_in(V_c,V_B,T_a))),
% 14.35/7.33 inference(miniscoping,[status(thm)],[f7])).
% 14.35/7.33 fof(f21,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (~c_in(X0,c_inter(X1,X2,X3),X3)|c_in(X0,X2,X3))),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f20])).
% 14.35/7.33 fof(f22,plain,(
% 14.35/7.33 ![V_c,V_A,T_a]: ((![V_B]: ~c_in(V_c,c_inter(V_A,V_B,T_a),T_a))|c_in(V_c,V_A,T_a))),
% 14.35/7.33 inference(miniscoping,[status(thm)],[f8])).
% 14.35/7.33 fof(f23,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (~c_in(X0,c_inter(X1,X2,X3),X3)|c_in(X0,X1,X3))),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f22])).
% 14.35/7.33 fof(f24,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_in(X0,X3,X2)|c_in(X0,c_inter(X3,X1,X2),X2))),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f9])).
% 14.35/7.33 fof(f25,plain,(
% 14.35/7.33 ![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))),
% 14.35/7.33 inference(miniscoping,[status(thm)],[f10])).
% 14.35/7.33 fof(f26,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f25])).
% 14.35/7.33 fof(f27,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f11])).
% 14.35/7.33 fof(f28,plain,(
% 14.35/7.33 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f12])).
% 14.35/7.33 fof(f29,plain,(
% 14.35/7.33 ![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)),
% 14.35/7.33 inference(miniscoping,[status(thm)],[f13])).
% 14.35/7.33 fof(f30,plain,(
% 14.35/7.33 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 14.35/7.33 inference(cnf_transformation,[status(thm)],[f29])).
% 14.35/7.33 fof(f31,definition,(
% 14.35/7.33 sQ0_spl <=> (v_X=c_inter(v_Y,v_Z,t_a))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f32,plain,(
% 14.35/7.33 v_X=c_inter(v_Y,v_Z,t_a)|~sQ0_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f31])).
% 14.35/7.33 fof(f34,definition,(
% 14.35/7.33 sQ1_spl <=> (c_lessequals(v_X,v_Y,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f35,plain,(
% 14.35/7.33 c_lessequals(v_X,v_Y,tc_set(t_a))|~sQ1_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f34])).
% 14.35/7.33 fof(f37,plain,(
% 14.35/7.33 sQ0_spl|sQ1_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f14,f31,f34])).
% 14.35/7.33 fof(f38,definition,(
% 14.35/7.33 sQ2_spl <=> (c_lessequals(v_X,v_Z,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f39,plain,(
% 14.35/7.33 c_lessequals(v_X,v_Z,tc_set(t_a))|~sQ2_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f38])).
% 14.35/7.33 fof(f41,plain,(
% 14.35/7.33 sQ0_spl|sQ2_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f15,f31,f38])).
% 14.35/7.33 fof(f42,definition,(
% 14.35/7.33 sQ3_spl <=> (c_lessequals(v_x,v_Y,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f43,plain,(
% 14.35/7.33 c_lessequals(v_x,v_Y,tc_set(t_a))|~sQ3_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f42])).
% 14.35/7.33 fof(f45,plain,(
% 14.35/7.33 sQ3_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f16,f42,f38,f34,f31])).
% 14.35/7.33 fof(f46,definition,(
% 14.35/7.33 sQ4_spl <=> (c_lessequals(v_x,v_Z,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f47,plain,(
% 14.35/7.33 c_lessequals(v_x,v_Z,tc_set(t_a))|~sQ4_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f46])).
% 14.35/7.33 fof(f49,plain,(
% 14.35/7.33 sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f17,f46,f38,f34,f31])).
% 14.35/7.33 fof(f50,definition,(
% 14.35/7.33 sQ5_spl <=> (c_lessequals(v_x,v_X,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f51,plain,(
% 14.35/7.33 c_lessequals(v_x,v_X,tc_set(t_a))|~sQ5_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f50])).
% 14.35/7.33 fof(f52,plain,(
% 14.35/7.33 ~c_lessequals(v_x,v_X,tc_set(t_a))|sQ5_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f50])).
% 14.35/7.33 fof(f53,plain,(
% 14.35/7.33 ~sQ5_spl|~sQ2_spl|~sQ1_spl|~sQ0_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f18,f50,f38,f34,f31])).
% 14.35/7.33 fof(f54,definition,(
% 14.35/7.33 ![X0]: (sQ6_spl <=> (c_lessequals(X0,v_X,tc_set(t_a))|~c_lessequals(X0,v_Z,tc_set(t_a))|~c_lessequals(X0,v_Y,tc_set(t_a))))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f55,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(X0,v_X,tc_set(t_a))|~c_lessequals(X0,v_Z,tc_set(t_a))|~c_lessequals(X0,v_Y,tc_set(t_a))|~sQ6_spl)),
% 14.35/7.33 inference(component_clause,[status(thm)],[f54])).
% 14.35/7.33 fof(f57,plain,(
% 14.35/7.33 sQ0_spl|sQ6_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f19,f31,f54])).
% 14.35/7.33 fof(f60,plain,(
% 14.35/7.33 ![X0]: (~c_in(X0,v_X,t_a)|c_in(X0,v_Y,t_a)|~sQ0_spl)),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f32,f23])).
% 14.35/7.33 fof(f61,plain,(
% 14.35/7.33 ![X0]: (~c_in(X0,v_X,t_a)|c_in(X0,v_Z,t_a)|~sQ0_spl)),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f32,f21])).
% 14.35/7.33 fof(f66,definition,(
% 14.35/7.33 sQ8_spl <=> (v_x=v_X)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f67,plain,(
% 14.35/7.33 v_x=v_X|~sQ8_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f66])).
% 14.35/7.33 fof(f70,plain,(
% 14.35/7.33 ~c_lessequals(v_Y,v_X,tc_set(t_a))|v_X=v_Y|~sQ1_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f35,f30])).
% 14.35/7.33 fof(f71,definition,(
% 14.35/7.33 sQ9_spl <=> (c_lessequals(v_Y,v_X,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f73,plain,(
% 14.35/7.33 ~c_lessequals(v_Y,v_X,tc_set(t_a))|sQ9_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f71])).
% 14.35/7.33 fof(f74,definition,(
% 14.35/7.33 sQ10_spl <=> (v_X=v_Y)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f75,plain,(
% 14.35/7.33 v_X=v_Y|~sQ10_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f74])).
% 14.35/7.33 fof(f77,plain,(
% 14.35/7.33 ~sQ9_spl|sQ10_spl|~sQ1_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f70,f71,f74,f34])).
% 14.35/7.33 fof(f78,plain,(
% 14.35/7.33 ~c_lessequals(v_Z,v_X,tc_set(t_a))|v_X=v_Z|~sQ2_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f39,f30])).
% 14.35/7.33 fof(f79,definition,(
% 14.35/7.33 sQ11_spl <=> (c_lessequals(v_Z,v_X,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f82,definition,(
% 14.35/7.33 sQ12_spl <=> (v_X=v_Z)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f83,plain,(
% 14.35/7.33 v_X=v_Z|~sQ12_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f82])).
% 14.35/7.33 fof(f85,plain,(
% 14.35/7.33 ~sQ11_spl|sQ12_spl|~sQ2_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f78,f79,f82,f38])).
% 14.35/7.33 fof(f86,plain,(
% 14.35/7.33 ~c_lessequals(v_Y,v_x,tc_set(t_a))|v_x=v_Y|~sQ3_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f43,f30])).
% 14.35/7.33 fof(f87,definition,(
% 14.35/7.33 sQ13_spl <=> (c_lessequals(v_Y,v_x,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f89,plain,(
% 14.35/7.33 ~c_lessequals(v_Y,v_x,tc_set(t_a))|sQ13_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f87])).
% 14.35/7.33 fof(f90,definition,(
% 14.35/7.33 sQ14_spl <=> (v_x=v_Y)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f91,plain,(
% 14.35/7.33 v_x=v_Y|~sQ14_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f90])).
% 14.35/7.33 fof(f93,plain,(
% 14.35/7.33 ~sQ13_spl|sQ14_spl|~sQ3_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f86,f87,f90,f42])).
% 14.35/7.33 fof(f94,plain,(
% 14.35/7.33 ~c_lessequals(v_Z,v_x,tc_set(t_a))|v_x=v_Z|~sQ4_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f47,f30])).
% 14.35/7.33 fof(f95,definition,(
% 14.35/7.33 sQ15_spl <=> (c_lessequals(v_Z,v_x,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f98,definition,(
% 14.35/7.33 sQ16_spl <=> (v_x=v_Z)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f101,plain,(
% 14.35/7.33 ~sQ15_spl|sQ16_spl|~sQ4_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f94,f95,f98,f46])).
% 14.35/7.33 fof(f102,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f27,f23])).
% 14.35/7.33 fof(f103,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f27,f21])).
% 14.35/7.33 fof(f104,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X0,X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(X0,X1,X2),X3,X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f27,f26])).
% 14.35/7.33 fof(f105,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(X0,X1,tc_set(X2))|~c_in(c_Main_OsubsetI__1(X0,X1,X2),X3,X2)|c_in(c_Main_OsubsetI__1(X0,X1,X2),c_inter(X0,X3,X2),X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f27,f24])).
% 14.35/7.33 fof(f106,plain,(
% 14.35/7.33 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1))|c_lessequals(X0,X0,tc_set(X1)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f28,f27])).
% 14.35/7.33 fof(f107,plain,(
% 14.35/7.33 ![X0,X1]: (c_lessequals(X0,X0,tc_set(X1)))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f106])).
% 14.35/7.33 fof(f110,definition,(
% 14.35/7.33 sQ17_spl <=> (c_lessequals(v_X,v_X,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f112,plain,(
% 14.35/7.33 ~c_lessequals(v_X,v_X,tc_set(t_a))|sQ17_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f110])).
% 14.35/7.33 fof(f115,plain,(
% 14.35/7.33 ![X0]: (c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)|c_lessequals(v_X,X0,tc_set(t_a))|~sQ0_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f60,f27])).
% 14.35/7.33 fof(f116,plain,(
% 14.35/7.33 ![X0]: (c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)|c_lessequals(v_X,X0,tc_set(t_a))|~sQ0_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f61,f27])).
% 14.35/7.33 fof(f119,plain,(
% 14.35/7.33 c_lessequals(v_X,v_Y,tc_set(t_a))|c_lessequals(v_X,v_Y,tc_set(t_a))|~sQ0_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f115,f28])).
% 14.35/7.33 fof(f122,plain,(
% 14.35/7.33 sQ1_spl|~sQ0_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f119,f34,f31])).
% 14.35/7.33 fof(f123,plain,(
% 14.35/7.33 c_lessequals(v_X,v_Z,tc_set(t_a))|c_lessequals(v_X,v_Z,tc_set(t_a))|~sQ0_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f116,f28])).
% 14.35/7.33 fof(f126,plain,(
% 14.35/7.33 sQ2_spl|~sQ0_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f123,f38,f31])).
% 14.35/7.33 fof(f130,plain,(
% 14.35/7.33 ~c_lessequals(v_x,v_x,tc_set(t_a))|~sQ14_spl|sQ13_spl),
% 14.35/7.33 inference(backward_demodulation,[status(thm)],[f91,f89])).
% 14.35/7.33 fof(f146,plain,(
% 14.35/7.33 $false|~sQ14_spl|sQ13_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f130,f107])).
% 14.35/7.33 fof(f147,plain,(
% 14.35/7.33 ~sQ14_spl|sQ13_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f146])).
% 14.35/7.33 fof(f149,plain,(
% 14.35/7.33 ~c_lessequals(v_x,v_x,tc_set(t_a))|~sQ8_spl|sQ5_spl),
% 14.35/7.33 inference(forward_demodulation,[status(thm)],[f67,f52])).
% 14.35/7.33 fof(f150,plain,(
% 14.35/7.33 $false|~sQ8_spl|sQ5_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f149,f107])).
% 14.35/7.33 fof(f151,plain,(
% 14.35/7.33 ~sQ8_spl|sQ5_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f150])).
% 14.35/7.33 fof(f152,plain,(
% 14.35/7.33 c_lessequals(v_Z,v_X,tc_set(t_a))|~c_lessequals(v_Z,v_Y,tc_set(t_a))|~sQ6_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f55,f107])).
% 14.35/7.33 fof(f153,definition,(
% 14.35/7.33 sQ18_spl <=> (c_lessequals(v_Z,v_Y,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f155,plain,(
% 14.35/7.33 ~c_lessequals(v_Z,v_Y,tc_set(t_a))|sQ18_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f153])).
% 14.35/7.33 fof(f156,plain,(
% 14.35/7.33 sQ11_spl|~sQ18_spl|~sQ6_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f152,f79,f153,f54])).
% 14.35/7.33 fof(f163,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2))|c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f102,f28])).
% 14.35/7.33 fof(f164,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X4,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(c_inter(X0,X1,X2),X3,X2),X4,X2),X0,X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f102,f23])).
% 14.35/7.33 fof(f165,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X4,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(c_inter(X0,X1,X2),X3,X2),X4,X2),X1,X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f102,f21])).
% 14.35/7.33 fof(f167,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))|~c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X4,X2)|c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),c_inter(X0,X4,X2),X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f102,f24])).
% 14.35/7.33 fof(f168,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f163])).
% 14.35/7.33 fof(f169,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(c_inter(v_Z,X0,t_a),v_X,tc_set(t_a))|~c_lessequals(c_inter(v_Z,X0,t_a),v_Y,tc_set(t_a))|~sQ6_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f168,f55])).
% 14.35/7.33 fof(f170,plain,(
% 14.35/7.33 ![X0,X1,X2]: (~c_lessequals(X0,c_inter(X0,X1,X2),tc_set(X2))|c_inter(X0,X1,X2)=X0)),
% 14.35/7.33 inference(resolution,[status(thm)],[f168,f30])).
% 14.35/7.33 fof(f171,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2))|c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f103,f28])).
% 14.35/7.33 fof(f172,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),X4,tc_set(X3))|c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(X1,X2,X3),X3),X4,X3),X1,X3))),
% 14.35/7.33 inference(resolution,[status(thm)],[f103,f23])).
% 14.35/7.33 fof(f173,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),X4,tc_set(X3))|c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(X1,X2,X3),X3),X4,X3),X2,X3))),
% 14.35/7.33 inference(resolution,[status(thm)],[f103,f21])).
% 14.35/7.33 fof(f175,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))|~c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X4,X2)|c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),c_inter(X1,X4,X2),X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f103,f24])).
% 14.35/7.33 fof(f176,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f171])).
% 14.35/7.33 fof(f177,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(c_inter(X0,v_Z,t_a),v_X,tc_set(t_a))|~c_lessequals(c_inter(X0,v_Z,t_a),v_Y,tc_set(t_a))|~sQ6_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f176,f55])).
% 14.35/7.33 fof(f178,plain,(
% 14.35/7.33 ![X0,X1,X2]: (~c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2))|c_inter(X1,X0,X2)=X0)),
% 14.35/7.33 inference(resolution,[status(thm)],[f176,f30])).
% 14.35/7.33 fof(f179,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),c_inter(c_inter(X0,X1,X2),X1,X2),X2)|c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f105,f103])).
% 14.35/7.33 fof(f181,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_set(X2))|c_in(c_Main_OsubsetI__1(X0,X1,X2),c_inter(X0,X0,X2),X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f105,f27])).
% 14.35/7.33 fof(f182,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),c_inter(c_inter(X0,X1,X2),X1,X2),X2))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f179])).
% 14.35/7.33 fof(f184,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_lessequals(X0,X1,tc_set(X2))|c_in(c_Main_OsubsetI__1(X0,X1,X2),c_inter(X0,X0,X2),X2))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f181])).
% 14.35/7.33 fof(f185,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X4,tc_set(X2))|c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X4,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(c_inter(X0,X1,X2),X3,X2),X4,X2),c_inter(c_inter(c_inter(X0,X1,X2),X3,X2),X0,X2),X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f164,f105])).
% 14.35/7.33 fof(f191,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X4,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(c_inter(X0,X1,X2),X3,X2),X4,X2),c_inter(c_inter(c_inter(X0,X1,X2),X3,X2),X0,X2),X2))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f185])).
% 14.35/7.33 fof(f196,plain,(
% 14.35/7.33 ![X0,X1]: (c_lessequals(X0,c_inter(X0,X0,X1),tc_set(X1))|c_lessequals(X0,c_inter(X0,X0,X1),tc_set(X1)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f184,f28])).
% 14.35/7.33 fof(f202,plain,(
% 14.35/7.33 ![X0,X1]: (c_lessequals(X0,c_inter(X0,X0,X1),tc_set(X1)))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f196])).
% 14.35/7.33 fof(f203,plain,(
% 14.35/7.33 ![X0,X1]: (c_inter(X0,X0,X1)=X0)),
% 14.35/7.33 inference(resolution,[status(thm)],[f202,f178])).
% 14.35/7.33 fof(f228,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_X,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)|~sQ1_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f104,f35])).
% 14.35/7.33 fof(f229,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_X,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)|~sQ2_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f104,f39])).
% 14.35/7.33 fof(f231,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_X,X0,tc_set(t_a))|c_lessequals(v_X,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_X,X0,t_a),c_inter(v_X,v_Y,t_a),t_a)|~sQ1_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f228,f105])).
% 14.35/7.33 fof(f235,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_X,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_X,X0,t_a),c_inter(v_X,v_Y,t_a),t_a)|~sQ1_spl)),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f231])).
% 14.35/7.33 fof(f237,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_X,X0,tc_set(t_a))|c_lessequals(v_X,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_X,X0,t_a),c_inter(v_X,v_Z,t_a),t_a)|~sQ2_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f229,f105])).
% 14.35/7.33 fof(f241,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_X,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_X,X0,t_a),c_inter(v_X,v_Z,t_a),t_a)|~sQ2_spl)),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f237])).
% 14.35/7.33 fof(f251,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X1,tc_set(X2))|c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X1,tc_set(X2)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f165,f28])).
% 14.35/7.33 fof(f259,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X1,tc_set(X2)))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f251])).
% 14.35/7.33 fof(f283,plain,(
% 14.35/7.33 c_lessequals(v_X,c_inter(v_X,v_Y,t_a),tc_set(t_a))|c_lessequals(v_X,c_inter(v_X,v_Y,t_a),tc_set(t_a))|~sQ1_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f235,f28])).
% 14.35/7.33 fof(f289,definition,(
% 14.35/7.33 sQ19_spl <=> (c_lessequals(v_X,c_inter(v_X,v_Y,t_a),tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f290,plain,(
% 14.35/7.33 c_lessequals(v_X,c_inter(v_X,v_Y,t_a),tc_set(t_a))|~sQ19_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f289])).
% 14.35/7.33 fof(f292,plain,(
% 14.35/7.33 sQ19_spl|~sQ1_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f283,f289,f34])).
% 14.35/7.33 fof(f293,plain,(
% 14.35/7.33 c_inter(v_X,v_Y,t_a)=v_X|~sQ19_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f290,f170])).
% 14.35/7.33 fof(f296,plain,(
% 14.35/7.33 ~c_lessequals(c_inter(v_X,v_Y,t_a),v_X,tc_set(t_a))|v_X=c_inter(v_X,v_Y,t_a)|~sQ19_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f290,f30])).
% 14.35/7.33 fof(f297,definition,(
% 14.35/7.33 sQ20_spl <=> (c_lessequals(c_inter(v_X,v_Y,t_a),v_X,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f299,plain,(
% 14.35/7.33 ~c_lessequals(c_inter(v_X,v_Y,t_a),v_X,tc_set(t_a))|sQ20_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f297])).
% 14.35/7.33 fof(f300,definition,(
% 14.35/7.33 sQ21_spl <=> (v_X=c_inter(v_X,v_Y,t_a))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f303,plain,(
% 14.35/7.33 ~sQ20_spl|sQ21_spl|~sQ19_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f296,f297,f300,f289])).
% 14.35/7.33 fof(f304,plain,(
% 14.35/7.33 $false|sQ20_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f299,f168])).
% 14.35/7.33 fof(f305,plain,(
% 14.35/7.33 sQ20_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f304])).
% 14.35/7.33 fof(f313,plain,(
% 14.35/7.33 ~c_lessequals(v_Y,v_X,tc_set(t_a))|c_inter(v_X,v_Y,t_a)=v_Y|~sQ19_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f293,f178])).
% 14.35/7.33 fof(f320,plain,(
% 14.35/7.33 ![X0]: (~c_in(X0,v_X,t_a)|c_in(X0,v_Y,t_a)|~sQ19_spl)),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f293,f21])).
% 14.35/7.33 fof(f326,definition,(
% 14.35/7.33 sQ22_spl <=> (c_inter(v_X,v_Y,t_a)=v_Y)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f329,plain,(
% 14.35/7.33 ~sQ9_spl|sQ22_spl|~sQ19_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f313,f71,f326,f289])).
% 14.35/7.33 fof(f338,plain,(
% 14.35/7.33 c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a))|~sQ6_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f169,f176])).
% 14.35/7.33 fof(f349,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(c_inter(v_X,X0,t_a),v_Y,tc_set(t_a))|~sQ19_spl)),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f293,f259])).
% 14.35/7.33 fof(f353,plain,(
% 14.35/7.33 ![X0]: (~c_lessequals(v_Y,c_inter(v_X,X0,t_a),tc_set(t_a))|c_inter(v_X,X0,t_a)=v_Y|~sQ19_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f349,f30])).
% 14.35/7.33 fof(f358,plain,(
% 14.35/7.33 ~c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))|c_inter(v_Z,v_Y,t_a)=v_X|~sQ6_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f338,f30])).
% 14.35/7.33 fof(f359,definition,(
% 14.35/7.33 sQ24_spl <=> (c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f361,plain,(
% 14.35/7.33 ~c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))|sQ24_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f359])).
% 14.35/7.33 fof(f362,definition,(
% 14.35/7.33 sQ25_spl <=> (c_inter(v_Z,v_Y,t_a)=v_X)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f363,plain,(
% 14.35/7.33 c_inter(v_Z,v_Y,t_a)=v_X|~sQ25_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f362])).
% 14.35/7.33 fof(f365,plain,(
% 14.35/7.33 ~sQ24_spl|sQ25_spl|~sQ6_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f358,f359,f362,f54])).
% 14.35/7.33 fof(f367,plain,(
% 14.35/7.33 ~c_lessequals(v_Y,v_X,tc_set(t_a))|c_inter(v_X,v_X,t_a)=v_Y|~sQ19_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f203,f353])).
% 14.35/7.33 fof(f369,definition,(
% 14.35/7.33 sQ26_spl <=> (c_inter(v_X,v_X,t_a)=v_Y)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f370,plain,(
% 14.35/7.33 c_inter(v_X,v_X,t_a)=v_Y|~sQ26_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f369])).
% 14.35/7.33 fof(f372,plain,(
% 14.35/7.33 ~sQ9_spl|sQ26_spl|~sQ19_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f367,f71,f369,f289])).
% 14.35/7.33 fof(f380,plain,(
% 14.35/7.33 c_lessequals(v_X,c_inter(v_X,v_Z,t_a),tc_set(t_a))|c_lessequals(v_X,c_inter(v_X,v_Z,t_a),tc_set(t_a))|~sQ2_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f241,f28])).
% 14.35/7.33 fof(f386,definition,(
% 14.35/7.33 sQ27_spl <=> (c_lessequals(v_X,c_inter(v_X,v_Z,t_a),tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f387,plain,(
% 14.35/7.33 c_lessequals(v_X,c_inter(v_X,v_Z,t_a),tc_set(t_a))|~sQ27_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f386])).
% 14.35/7.33 fof(f389,plain,(
% 14.35/7.33 sQ27_spl|~sQ2_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f380,f386,f38])).
% 14.35/7.33 fof(f390,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),X4,tc_set(X3))|c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),X4,tc_set(X3))|c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(X1,X2,X3),X3),X4,X3),c_inter(X0,X1,X3),X3))),
% 14.35/7.33 inference(resolution,[status(thm)],[f172,f167])).
% 14.35/7.33 fof(f401,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),X4,tc_set(X3))|c_in(c_Main_OsubsetI__1(c_inter(X0,c_inter(X1,X2,X3),X3),X4,X3),c_inter(X0,X1,X3),X3))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f390])).
% 14.35/7.33 fof(f409,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),X2,tc_set(X3))|c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),X2,tc_set(X3)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f173,f28])).
% 14.35/7.33 fof(f420,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),X2,tc_set(X3)))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f409])).
% 14.35/7.33 fof(f438,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(c_inter(X0,v_X,t_a),v_Y,tc_set(t_a))|~sQ19_spl)),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f293,f420])).
% 14.35/7.33 fof(f443,plain,(
% 14.35/7.33 ![X0]: (~c_lessequals(v_Y,c_inter(X0,v_X,t_a),tc_set(t_a))|c_inter(X0,v_X,t_a)=v_Y|~sQ19_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f438,f30])).
% 14.35/7.33 fof(f445,plain,(
% 14.35/7.33 c_inter(v_X,v_Z,t_a)=v_X|~sQ27_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f387,f170])).
% 14.35/7.33 fof(f449,definition,(
% 14.35/7.33 sQ28_spl <=> (c_lessequals(c_inter(v_X,v_Z,t_a),v_X,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f451,plain,(
% 14.35/7.33 ~c_lessequals(c_inter(v_X,v_Z,t_a),v_X,tc_set(t_a))|sQ28_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f449])).
% 14.35/7.33 fof(f456,plain,(
% 14.35/7.33 $false|sQ28_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f451,f168])).
% 14.35/7.33 fof(f457,plain,(
% 14.35/7.33 sQ28_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f456])).
% 14.35/7.33 fof(f493,definition,(
% 14.35/7.33 sQ31_spl <=> (c_inter(v_X,v_Z,t_a)=v_Z)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f494,plain,(
% 14.35/7.33 c_inter(v_X,v_Z,t_a)=v_Z|~sQ31_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f493])).
% 14.35/7.33 fof(f500,plain,(
% 14.35/7.33 v_X=v_Y|~sQ26_spl),
% 14.35/7.33 inference(forward_demodulation,[status(thm)],[f203,f370])).
% 14.35/7.33 fof(f514,plain,(
% 14.35/7.33 c_lessequals(v_Z,v_Y,tc_set(t_a))|~sQ19_spl|~sQ31_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f494,f349])).
% 14.35/7.33 fof(f538,plain,(
% 14.35/7.33 $false|sQ18_spl|~sQ19_spl|~sQ31_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f514,f155])).
% 14.35/7.33 fof(f539,plain,(
% 14.35/7.33 sQ18_spl|~sQ19_spl|~sQ31_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f538])).
% 14.35/7.33 fof(f548,definition,(
% 14.35/7.33 sQ33_spl <=> (c_lessequals(v_Z,v_Z,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f550,plain,(
% 14.35/7.33 ~c_lessequals(v_Z,v_Z,tc_set(t_a))|sQ33_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f548])).
% 14.35/7.33 fof(f556,plain,(
% 14.35/7.33 $false|sQ17_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f112,f107])).
% 14.35/7.33 fof(f557,plain,(
% 14.35/7.33 sQ17_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f556])).
% 14.35/7.33 fof(f570,plain,(
% 14.35/7.33 ~c_lessequals(v_Y,v_Y,tc_set(t_a))|~sQ26_spl|sQ9_spl),
% 14.35/7.33 inference(backward_demodulation,[status(thm)],[f500,f73])).
% 14.35/7.33 fof(f576,plain,(
% 14.35/7.33 $false|~sQ26_spl|sQ9_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f570,f107])).
% 14.35/7.33 fof(f577,plain,(
% 14.35/7.33 ~sQ26_spl|sQ9_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f576])).
% 14.35/7.33 fof(f617,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_x,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Y,t_a)|~sQ3_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f43,f104])).
% 14.35/7.33 fof(f625,plain,(
% 14.35/7.33 ~c_lessequals(v_x,v_Y,tc_set(t_a))|~sQ10_spl|sQ5_spl),
% 14.35/7.33 inference(forward_demodulation,[status(thm)],[f75,f52])).
% 14.35/7.33 fof(f626,plain,(
% 14.35/7.33 $false|~sQ3_spl|~sQ10_spl|sQ5_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f625,f43])).
% 14.35/7.33 fof(f627,plain,(
% 14.35/7.33 ~sQ3_spl|~sQ10_spl|sQ5_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f626])).
% 14.35/7.33 fof(f721,plain,(
% 14.35/7.33 ~c_lessequals(v_x,v_Z,tc_set(t_a))|~sQ12_spl|sQ5_spl),
% 14.35/7.33 inference(forward_demodulation,[status(thm)],[f83,f52])).
% 14.35/7.33 fof(f722,plain,(
% 14.35/7.33 $false|~sQ4_spl|~sQ12_spl|sQ5_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f721,f47])).
% 14.35/7.33 fof(f723,plain,(
% 14.35/7.33 ~sQ4_spl|~sQ12_spl|sQ5_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f722])).
% 14.35/7.33 fof(f859,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X4,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(c_inter(X0,X1,X2),X3,X2),X4,X2),c_inter(X3,X1,X2),X2)|c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X4,tc_set(X2)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f175,f165])).
% 14.35/7.33 fof(f864,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),c_inter(X1,X0,X2),X2)|c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f175,f102])).
% 14.35/7.33 fof(f870,plain,(
% 14.35/7.33 ![X0,X1,X2,X3,X4]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),X4,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(c_inter(X0,X1,X2),X3,X2),X4,X2),c_inter(X3,X1,X2),X2))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f859])).
% 14.35/7.33 fof(f876,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),c_inter(X1,X0,X2),X2))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f864])).
% 14.35/7.33 fof(f906,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_x,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_X,t_a)|~sQ5_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f51,f104])).
% 14.35/7.33 fof(f955,definition,(
% 14.35/7.33 sQ37_spl <=> (c_lessequals(v_Y,v_Y,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f957,plain,(
% 14.35/7.33 ~c_lessequals(v_Y,v_Y,tc_set(t_a))|sQ37_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f955])).
% 14.35/7.33 fof(f959,plain,(
% 14.35/7.33 $false|sQ37_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f957,f107])).
% 14.35/7.33 fof(f960,plain,(
% 14.35/7.33 sQ37_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f959])).
% 14.35/7.33 fof(f961,plain,(
% 14.35/7.33 $false|sQ33_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f550,f107])).
% 14.35/7.33 fof(f962,plain,(
% 14.35/7.33 sQ33_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f961])).
% 14.35/7.33 fof(f1013,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),c_inter(c_inter(X0,X1,X2),X1,X2),tc_set(X2))|c_lessequals(c_inter(X0,X1,X2),c_inter(c_inter(X0,X1,X2),X1,X2),tc_set(X2)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f182,f28])).
% 14.35/7.33 fof(f1027,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),c_inter(c_inter(X0,X1,X2),X1,X2),tc_set(X2)))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f1013])).
% 14.35/7.33 fof(f1087,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_inter(c_inter(X0,X1,X2),X1,X2)=c_inter(X0,X1,X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f1027,f170])).
% 14.35/7.33 fof(f1301,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_x,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Y,t_a)|~sQ5_spl|~sQ19_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f906,f320])).
% 14.35/7.33 fof(f1321,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),c_inter(c_inter(c_inter(X0,X1,X2),X3,X2),X0,X2),tc_set(X2))|c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),c_inter(c_inter(c_inter(X0,X1,X2),X3,X2),X0,X2),tc_set(X2)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f191,f28])).
% 14.35/7.33 fof(f1346,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),c_inter(c_inter(c_inter(X0,X1,X2),X3,X2),X0,X2),tc_set(X2)))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f1321])).
% 14.35/7.33 fof(f1406,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_x,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Z,t_a)|~sQ4_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f47,f104])).
% 14.35/7.33 fof(f1410,plain,(
% 14.35/7.33 c_lessequals(v_x,v_Y,tc_set(t_a))|c_lessequals(v_x,v_Y,tc_set(t_a))|~sQ5_spl|~sQ19_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f1301,f28])).
% 14.35/7.33 fof(f1414,plain,(
% 14.35/7.33 sQ3_spl|~sQ5_spl|~sQ19_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f1410,f42,f50,f289])).
% 14.35/7.33 fof(f1417,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_x,X0,tc_set(t_a))|c_lessequals(v_x,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x,X0,t_a),c_inter(v_x,v_Z,t_a),t_a)|~sQ4_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f1406,f105])).
% 14.35/7.33 fof(f1421,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_x,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x,X0,t_a),c_inter(v_x,v_Z,t_a),t_a)|~sQ4_spl)),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f1417])).
% 14.35/7.33 fof(f1685,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_inter(c_inter(c_inter(X0,X1,X2),X3,X2),X0,X2)=c_inter(c_inter(X0,X1,X2),X3,X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f1346,f170])).
% 14.35/7.33 fof(f1931,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),c_inter(X1,X0,X2),tc_set(X2))|c_lessequals(c_inter(X0,X1,X2),c_inter(X1,X0,X2),tc_set(X2)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f876,f28])).
% 14.35/7.33 fof(f1953,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),c_inter(X1,X0,X2),tc_set(X2)))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f1931])).
% 14.35/7.33 fof(f1967,plain,(
% 14.35/7.33 ![X0,X1,X2]: (~c_lessequals(c_inter(X0,X1,X2),c_inter(X1,X0,X2),tc_set(X2))|c_inter(X1,X0,X2)=c_inter(X0,X1,X2))),
% 14.35/7.33 inference(resolution,[status(thm)],[f1953,f30])).
% 14.35/7.33 fof(f1980,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_inter(X0,X1,X2)=c_inter(X1,X0,X2))),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f1967,f1953])).
% 14.35/7.33 fof(f1985,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_inter(X0,X1,X2)=c_inter(X1,c_inter(X0,X1,X2),X2))),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f1087,f1980])).
% 14.35/7.33 fof(f1986,plain,(
% 14.35/7.33 v_X=c_inter(v_Z,v_X,t_a)|~sQ27_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f445,f1980])).
% 14.35/7.33 fof(f1987,plain,(
% 14.35/7.33 v_X=c_inter(v_Y,v_X,t_a)|~sQ19_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f293,f1980])).
% 14.35/7.33 fof(f2077,plain,(
% 14.35/7.33 ![X0,X1,X2]: (~c_lessequals(X0,c_inter(X0,X1,X2),tc_set(X2))|c_inter(X1,X0,X2)=X0)),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f1980,f178])).
% 14.35/7.33 fof(f2286,plain,(
% 14.35/7.33 ~c_lessequals(v_Y,v_X,tc_set(t_a))|c_inter(v_Y,v_X,t_a)=v_Y|~sQ19_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f1987,f443])).
% 14.35/7.33 fof(f2318,plain,(
% 14.35/7.33 ~c_lessequals(v_X,v_X,tc_set(t_a))|c_inter(v_Y,v_X,t_a)=v_X|~sQ19_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f1987,f178])).
% 14.35/7.33 fof(f2331,definition,(
% 14.35/7.33 sQ48_spl <=> (c_inter(v_Y,v_X,t_a)=v_Y)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f2334,plain,(
% 14.35/7.33 ~sQ9_spl|sQ48_spl|~sQ19_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f2286,f71,f2331,f289])).
% 14.35/7.33 fof(f2360,definition,(
% 14.35/7.33 sQ49_spl <=> (c_inter(v_Y,v_X,t_a)=v_X)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f2363,plain,(
% 14.35/7.33 ~sQ17_spl|sQ49_spl|~sQ19_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f2318,f110,f2360,f289])).
% 14.35/7.33 fof(f3318,plain,(
% 14.35/7.33 ![X0,X1,X2]: (c_inter(X0,X1,X2)=c_inter(X1,c_inter(X1,X0,X2),X2))),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f1980,f1985])).
% 14.35/7.33 fof(f3527,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),c_inter(X0,X1,X3),tc_set(X3))|c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),c_inter(X0,X1,X3),tc_set(X3)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f401,f28])).
% 14.35/7.33 fof(f3582,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,c_inter(X1,X2,X3),X3),c_inter(X0,X1,X3),tc_set(X3)))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f3527])).
% 14.35/7.33 fof(f6820,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),c_inter(X3,X1,X2),tc_set(X2))|c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),c_inter(X3,X1,X2),tc_set(X2)))),
% 14.35/7.33 inference(resolution,[status(thm)],[f870,f28])).
% 14.35/7.33 fof(f6901,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),c_inter(X3,X1,X2),tc_set(X2)))),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f6820])).
% 14.35/7.33 fof(f7502,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(c_inter(X0,v_X,t_a),c_inter(X0,v_Y,t_a),tc_set(t_a))|~sQ19_spl)),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f1987,f3582])).
% 14.35/7.33 fof(f7934,plain,(
% 14.35/7.33 ![X0,X1,X2,X3]: (c_lessequals(c_inter(c_inter(X0,X1,X2),X3,X2),c_inter(X0,X3,X2),tc_set(X2)))),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f1685,f6901])).
% 14.35/7.33 fof(f8591,definition,(
% 14.35/7.33 sQ58_spl <=> (c_lessequals(c_inter(v_Y,v_X,t_a),v_Y,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f8593,plain,(
% 14.35/7.33 ~c_lessequals(c_inter(v_Y,v_X,t_a),v_Y,tc_set(t_a))|sQ58_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f8591])).
% 14.35/7.33 fof(f8630,definition,(
% 14.35/7.33 sQ63_spl <=> (c_lessequals(c_inter(v_X,v_Y,t_a),v_Y,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f8632,plain,(
% 14.35/7.33 ~c_lessequals(c_inter(v_X,v_Y,t_a),v_Y,tc_set(t_a))|sQ63_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f8630])).
% 14.35/7.33 fof(f8652,plain,(
% 14.35/7.33 ~c_lessequals(v_X,v_Y,tc_set(t_a))|~sQ19_spl|sQ58_spl),
% 14.35/7.33 inference(forward_demodulation,[status(thm)],[f1987,f8593])).
% 14.35/7.33 fof(f8653,plain,(
% 14.35/7.33 $false|~sQ1_spl|~sQ19_spl|sQ58_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f8652,f35])).
% 14.35/7.33 fof(f8654,plain,(
% 14.35/7.33 ~sQ1_spl|~sQ19_spl|sQ58_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f8653])).
% 14.35/7.33 fof(f8661,plain,(
% 14.35/7.33 ~c_lessequals(v_X,v_Y,tc_set(t_a))|~sQ19_spl|sQ63_spl),
% 14.35/7.33 inference(forward_demodulation,[status(thm)],[f293,f8632])).
% 14.35/7.33 fof(f8662,plain,(
% 14.35/7.33 $false|~sQ1_spl|~sQ19_spl|sQ63_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f8661,f35])).
% 14.35/7.33 fof(f8663,plain,(
% 14.35/7.33 ~sQ1_spl|~sQ19_spl|sQ63_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f8662])).
% 14.35/7.33 fof(f9670,plain,(
% 14.35/7.33 c_lessequals(v_x,c_inter(v_x,v_Z,t_a),tc_set(t_a))|c_lessequals(v_x,c_inter(v_x,v_Z,t_a),tc_set(t_a))|~sQ4_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f1421,f28])).
% 14.35/7.33 fof(f9678,definition,(
% 14.35/7.33 sQ74_spl <=> (c_lessequals(v_x,c_inter(v_x,v_Z,t_a),tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f9679,plain,(
% 14.35/7.33 c_lessequals(v_x,c_inter(v_x,v_Z,t_a),tc_set(t_a))|~sQ74_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f9678])).
% 14.35/7.33 fof(f9681,plain,(
% 14.35/7.33 sQ74_spl|~sQ4_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f9670,f9678,f46])).
% 14.35/7.33 fof(f9682,plain,(
% 14.35/7.33 c_inter(v_Z,v_x,t_a)=v_x|~sQ74_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f9679,f2077])).
% 14.35/7.33 fof(f9683,plain,(
% 14.35/7.33 c_inter(v_x,v_Z,t_a)=v_x|~sQ74_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f9679,f170])).
% 14.35/7.33 fof(f9691,plain,(
% 14.35/7.33 ~c_lessequals(c_inter(v_x,v_Z,t_a),v_x,tc_set(t_a))|v_x=c_inter(v_x,v_Z,t_a)|~sQ74_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f9679,f30])).
% 14.35/7.33 fof(f9692,definition,(
% 14.35/7.33 sQ75_spl <=> (c_lessequals(c_inter(v_x,v_Z,t_a),v_x,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f9694,plain,(
% 14.35/7.33 ~c_lessequals(c_inter(v_x,v_Z,t_a),v_x,tc_set(t_a))|sQ75_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f9692])).
% 14.35/7.33 fof(f9695,definition,(
% 14.35/7.33 sQ76_spl <=> (v_x=c_inter(v_x,v_Z,t_a))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f9698,plain,(
% 14.35/7.33 ~sQ75_spl|sQ76_spl|~sQ74_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f9691,f9692,f9695,f9678])).
% 14.35/7.33 fof(f9699,plain,(
% 14.35/7.33 $false|sQ75_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f9694,f168])).
% 14.35/7.33 fof(f9700,plain,(
% 14.35/7.33 sQ75_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f9699])).
% 14.35/7.33 fof(f9711,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(c_inter(v_x,X0,t_a),c_inter(v_Z,X0,t_a),tc_set(t_a))|~sQ74_spl)),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f9682,f7934])).
% 14.35/7.33 fof(f9752,plain,(
% 14.35/7.33 ~c_lessequals(v_Z,v_x,tc_set(t_a))|c_inter(v_x,v_Z,t_a)=v_Z|~sQ74_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f9682,f2077])).
% 14.35/7.33 fof(f9815,plain,(
% 14.35/7.33 ~c_lessequals(v_x,v_x,tc_set(t_a))|c_inter(v_Z,v_x,t_a)=v_x|~sQ74_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f9682,f178])).
% 14.35/7.33 fof(f9818,plain,(
% 14.35/7.33 ~c_lessequals(v_Z,v_x,tc_set(t_a))|c_inter(v_Z,v_x,t_a)=v_Z|~sQ74_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f9682,f170])).
% 14.35/7.33 fof(f9861,definition,(
% 14.35/7.33 sQ81_spl <=> (c_lessequals(v_x,v_x,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f9863,plain,(
% 14.35/7.33 ~c_lessequals(v_x,v_x,tc_set(t_a))|sQ81_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f9861])).
% 14.35/7.33 fof(f9865,definition,(
% 14.35/7.33 sQ82_spl <=> (c_inter(v_x,v_Z,t_a)=v_Z)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f9868,plain,(
% 14.35/7.33 ~sQ15_spl|sQ82_spl|~sQ74_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f9752,f95,f9865,f9678])).
% 14.35/7.33 fof(f9913,definition,(
% 14.35/7.33 sQ83_spl <=> (c_inter(v_Z,v_x,t_a)=v_x)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f9916,plain,(
% 14.35/7.33 ~sQ81_spl|sQ83_spl|~sQ74_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f9815,f9861,f9913,f9678])).
% 14.35/7.33 fof(f9918,definition,(
% 14.35/7.33 sQ84_spl <=> (c_inter(v_Z,v_x,t_a)=v_Z)),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f9921,plain,(
% 14.35/7.33 ~sQ15_spl|sQ84_spl|~sQ74_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f9818,f95,f9918,f9678])).
% 14.35/7.33 fof(f9924,plain,(
% 14.35/7.33 $false|sQ81_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f9863,f107])).
% 14.35/7.33 fof(f9925,plain,(
% 14.35/7.33 sQ81_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f9924])).
% 14.35/7.33 fof(f9950,plain,(
% 14.35/7.33 c_lessequals(v_x,v_X,tc_set(t_a))|~c_lessequals(c_inter(v_x,v_Z,t_a),v_Y,tc_set(t_a))|~sQ6_spl|~sQ74_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f9683,f177])).
% 14.35/7.33 fof(f10067,definition,(
% 14.35/7.33 sQ86_spl <=> (c_lessequals(c_inter(v_x,v_Z,t_a),v_Y,tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f10070,plain,(
% 14.35/7.33 sQ5_spl|~sQ86_spl|~sQ6_spl|~sQ74_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f9950,f50,f10067,f54,f9678])).
% 14.35/7.33 fof(f10337,plain,(
% 14.35/7.33 c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))|~sQ19_spl|~sQ27_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f1986,f7502])).
% 14.35/7.33 fof(f10357,plain,(
% 14.35/7.33 $false|sQ24_spl|~sQ19_spl|~sQ27_spl),
% 14.35/7.33 inference(forward_subsumption_resolution,[status(thm)],[f10337,f361])).
% 14.35/7.33 fof(f10358,plain,(
% 14.35/7.33 sQ24_spl|~sQ19_spl|~sQ27_spl),
% 14.35/7.33 inference(contradiction_clause,[status(thm)],[f10357])).
% 14.35/7.33 fof(f10366,plain,(
% 14.35/7.33 c_inter(v_Y,v_Z,t_a)=v_X|~sQ25_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f1980,f363])).
% 14.35/7.33 fof(f10488,plain,(
% 14.35/7.33 sQ0_spl|~sQ25_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f10366,f31,f362])).
% 14.35/7.33 fof(f10589,plain,(
% 14.35/7.33 c_inter(v_Z,v_Y,t_a)=c_inter(v_Y,v_X,t_a)|~sQ0_spl),
% 14.35/7.33 inference(paramodulation,[status(thm)],[f32,f3318])).
% 14.35/7.33 fof(f10681,plain,(
% 14.35/7.33 c_inter(v_Z,v_Y,t_a)=v_X|~sQ19_spl|~sQ0_spl),
% 14.35/7.33 inference(forward_demodulation,[status(thm)],[f1987,f10589])).
% 14.35/7.33 fof(f10945,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_x,X0,tc_set(t_a))|c_lessequals(v_x,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x,X0,t_a),c_inter(v_x,v_Y,t_a),t_a)|~sQ3_spl)),
% 14.35/7.33 inference(resolution,[status(thm)],[f617,f105])).
% 14.35/7.33 fof(f10951,plain,(
% 14.35/7.33 ![X0]: (c_lessequals(v_x,X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(v_x,X0,t_a),c_inter(v_x,v_Y,t_a),t_a)|~sQ3_spl)),
% 14.35/7.33 inference(duplicate_literals_removal,[status(thm)],[f10945])).
% 14.35/7.33 fof(f11170,plain,(
% 14.35/7.33 c_lessequals(v_x,c_inter(v_x,v_Y,t_a),tc_set(t_a))|c_lessequals(v_x,c_inter(v_x,v_Y,t_a),tc_set(t_a))|~sQ3_spl),
% 14.35/7.33 inference(resolution,[status(thm)],[f10951,f28])).
% 14.35/7.33 fof(f11180,definition,(
% 14.35/7.33 sQ97_spl <=> (c_lessequals(v_x,c_inter(v_x,v_Y,t_a),tc_set(t_a)))),
% 14.35/7.33 introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition])).
% 14.35/7.33 fof(f11181,plain,(
% 14.35/7.33 c_lessequals(v_x,c_inter(v_x,v_Y,t_a),tc_set(t_a))|~sQ97_spl),
% 14.35/7.33 inference(component_clause,[status(thm)],[f11180])).
% 14.35/7.33 fof(f11183,plain,(
% 14.35/7.33 sQ97_spl|~sQ3_spl),
% 14.35/7.33 inference(split_clause,[status(thm)],[f11170,f11180,f42])).
% 14.35/7.36 fof(f11186,plain,(
% 14.35/7.36 c_inter(v_Y,v_x,t_a)=v_x|~sQ97_spl),
% 14.35/7.36 inference(resolution,[status(thm)],[f11181,f2077])).
% 14.35/7.36 fof(f11187,plain,(
% 14.35/7.36 c_inter(v_x,v_Y,t_a)=v_x|~sQ97_spl),
% 14.35/7.36 inference(resolution,[status(thm)],[f11181,f170])).
% 14.35/7.36 fof(f11195,plain,(
% 14.35/7.36 ~c_lessequals(c_inter(v_x,v_Y,t_a),v_x,tc_set(t_a))|v_x=c_inter(v_x,v_Y,t_a)|~sQ97_spl),
% 14.35/7.36 inference(resolution,[status(thm)],[f11181,f30])).
% 14.35/7.36 fof(f11196,definition,(
% 14.35/7.36 sQ98_spl <=> (c_lessequals(c_inter(v_x,v_Y,t_a),v_x,tc_set(t_a)))),
% 14.35/7.36 introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition])).
% 14.35/7.36 fof(f11198,plain,(
% 14.35/7.36 ~c_lessequals(c_inter(v_x,v_Y,t_a),v_x,tc_set(t_a))|sQ98_spl),
% 14.35/7.36 inference(component_clause,[status(thm)],[f11196])).
% 14.35/7.36 fof(f11199,definition,(
% 14.35/7.36 sQ99_spl <=> (v_x=c_inter(v_x,v_Y,t_a))),
% 14.35/7.36 introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition])).
% 14.35/7.36 fof(f11202,plain,(
% 14.35/7.36 ~sQ98_spl|sQ99_spl|~sQ97_spl),
% 14.35/7.36 inference(split_clause,[status(thm)],[f11195,f11196,f11199,f11180])).
% 14.35/7.36 fof(f11203,plain,(
% 14.35/7.36 $false|sQ98_spl),
% 14.35/7.36 inference(forward_subsumption_resolution,[status(thm)],[f11198,f168])).
% 14.35/7.36 fof(f11204,plain,(
% 14.35/7.36 sQ98_spl),
% 14.35/7.36 inference(contradiction_clause,[status(thm)],[f11203])).
% 14.35/7.36 fof(f11256,plain,(
% 14.35/7.36 ~c_lessequals(v_Y,v_x,tc_set(t_a))|c_inter(v_x,v_Y,t_a)=v_Y|~sQ97_spl),
% 14.35/7.36 inference(paramodulation,[status(thm)],[f11186,f2077])).
% 14.35/7.36 fof(f11319,plain,(
% 14.35/7.36 ~c_lessequals(v_x,v_x,tc_set(t_a))|c_inter(v_Y,v_x,t_a)=v_x|~sQ97_spl),
% 14.35/7.36 inference(paramodulation,[status(thm)],[f11186,f178])).
% 14.35/7.36 fof(f11322,plain,(
% 14.35/7.36 ~c_lessequals(v_Y,v_x,tc_set(t_a))|c_inter(v_Y,v_x,t_a)=v_Y|~sQ97_spl),
% 14.35/7.36 inference(paramodulation,[status(thm)],[f11186,f170])).
% 14.35/7.36 fof(f11352,definition,(
% 14.35/7.36 sQ100_spl <=> (c_inter(v_x,v_Y,t_a)=v_Y)),
% 14.35/7.36 introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition])).
% 14.35/7.36 fof(f11355,plain,(
% 14.35/7.36 ~sQ13_spl|sQ100_spl|~sQ97_spl),
% 14.35/7.36 inference(split_clause,[status(thm)],[f11256,f87,f11352,f11180])).
% 14.35/7.36 fof(f11400,definition,(
% 14.35/7.36 sQ101_spl <=> (c_inter(v_Y,v_x,t_a)=v_x)),
% 14.35/7.36 introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition])).
% 14.35/7.36 fof(f11403,plain,(
% 14.35/7.36 ~sQ81_spl|sQ101_spl|~sQ97_spl),
% 14.35/7.36 inference(split_clause,[status(thm)],[f11319,f9861,f11400,f11180])).
% 14.35/7.36 fof(f11405,definition,(
% 14.35/7.36 sQ102_spl <=> (c_inter(v_Y,v_x,t_a)=v_Y)),
% 14.35/7.36 introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition])).
% 14.35/7.36 fof(f11408,plain,(
% 14.35/7.36 ~sQ13_spl|sQ102_spl|~sQ97_spl),
% 14.35/7.36 inference(split_clause,[status(thm)],[f11322,f87,f11405,f11180])).
% 14.35/7.36 fof(f15467,plain,(
% 14.35/7.36 c_lessequals(v_x,c_inter(v_Z,v_Y,t_a),tc_set(t_a))|~sQ74_spl|~sQ97_spl),
% 14.35/7.36 inference(paramodulation,[status(thm)],[f11187,f9711])).
% 14.35/7.36 fof(f15487,plain,(
% 14.35/7.36 c_lessequals(v_x,v_X,tc_set(t_a))|~sQ19_spl|~sQ0_spl|~sQ74_spl|~sQ97_spl),
% 14.35/7.36 inference(forward_demodulation,[status(thm)],[f10681,f15467])).
% 14.35/7.36 fof(f15488,plain,(
% 14.35/7.36 $false|sQ5_spl|~sQ19_spl|~sQ0_spl|~sQ74_spl|~sQ97_spl),
% 14.35/7.36 inference(forward_subsumption_resolution,[status(thm)],[f15487,f52])).
% 14.35/7.36 fof(f15489,plain,(
% 14.35/7.36 sQ5_spl|~sQ19_spl|~sQ0_spl|~sQ74_spl|~sQ97_spl),
% 14.35/7.36 inference(contradiction_clause,[status(thm)],[f15488])).
% 14.35/7.36 fof(f15490,plain,(
% 14.35/7.36 $false),
% 14.35/7.36 inference(sat_refutation,[status(thm)],[f37,f41,f45,f49,f53,f57,f77,f85,f93,f101,f122,f126,f147,f151,f156,f292,f303,f305,f329,f365,f372,f389,f457,f539,f557,f577,f627,f723,f960,f962,f1414,f2334,f2363,f8654,f8663,f9681,f9698,f9700,f9868,f9916,f9921,f9925,f10070,f10358,f10488,f11183,f11202,f11204,f11355,f11403,f11408,f15489])).
% 14.35/7.36 % SZS output end CNFRefutation for theBenchmark.p
% 14.35/7.38 % Elapsed time: 1.982427 seconds
% 14.35/7.38 % CPU time: 15.488251 seconds
% 14.35/7.38 % Total memory used: 178.038 MB
% 14.35/7.38 % Net memory used: 166.844 MB
%------------------------------------------------------------------------------