TSTP Solution File: PUZ064-2 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : PUZ064-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 20:37:02 EDT 2024

% Result   : Unsatisfiable 222.64s 28.37s
% Output   : CNFRefutation 224.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : PUZ064-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n021.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Apr 29 22:12:40 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.6.0
% 222.64/28.37  % Refutation found
% 222.64/28.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 222.64/28.37  % SZS output start CNFRefutation for theBenchmark
% 222.64/28.37  fof(f1,negated_conjecture,(
% 222.64/28.37    c_in(v_a,v_A,tc_set(t_a)) ),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f2,negated_conjecture,(
% 222.64/28.37    c_inter(v_a,v_t,t_a) = c_emptyset ),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f3,negated_conjecture,(
% 222.64/28.37    c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f4,negated_conjecture,(
% 222.64/28.37    c_inter(c_union(v_a,v_t,t_a),v_u,t_a) = c_emptyset ),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f5,negated_conjecture,(
% 222.64/28.37    ~ c_in(c_union(c_union(v_a,v_t,t_a),v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f6,negated_conjecture,(
% 222.64/28.37    ( c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))| c_inter(v_t,v_u,t_a) != c_emptyset| ~ c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)) ) ),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f7,axiom,(
% 222.64/28.37    (![V_a,V_A,T_a,V_t]: (( ~ c_in(V_a,V_A,tc_set(T_a))| ~ c_in(V_t,c_Mutil_Otiling(V_A,T_a),tc_set(T_a))| c_inter(V_a,V_t,T_a) != c_emptyset| c_in(c_union(V_a,V_t,T_a),c_Mutil_Otiling(V_A,T_a),tc_set(T_a)) ) ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f9,axiom,(
% 222.64/28.37    (![V_A,V_B,T_a]: (c_uminus(c_minus(V_A,V_B,tc_set(T_a)),tc_set(T_a)) = c_union(c_uminus(V_A,tc_set(T_a)),V_B,T_a) ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f10,axiom,(
% 222.64/28.37    (![T_a]: (c_uminus(c_UNIV,tc_set(T_a)) = c_emptyset ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f11,axiom,(
% 222.64/28.37    (![V_A,V_B,T_a]: (c_minus(V_A,c_uminus(V_B,tc_set(T_a)),tc_set(T_a)) = c_inter(V_A,V_B,T_a) ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f12,axiom,(
% 222.64/28.37    (![V_y,T_a]: (c_inter(c_UNIV,V_y,T_a) = V_y ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f14,axiom,(
% 222.64/28.37    (![V_B,V_A,T_a]: (c_union(c_minus(V_B,V_A,tc_set(T_a)),V_A,T_a) = c_union(V_B,V_A,T_a) ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f15,axiom,(
% 222.64/28.37    (![V_A,V_B,T_a]: (c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a) ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f16,axiom,(
% 222.64/28.37    (![V_B,T_a]: (c_union(c_UNIV,V_B,T_a) = c_UNIV ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f17,axiom,(
% 222.64/28.37    (![V_y,T_a]: (c_union(V_y,V_y,T_a) = V_y ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f18,axiom,(
% 222.64/28.37    (![V_A,V_B,T_a,V_C]: (c_union(c_union(V_A,V_B,T_a),V_C,T_a) = c_union(V_A,c_union(V_B,V_C,T_a),T_a) ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f19,axiom,(
% 222.64/28.37    (![V_y,T_a]: (c_union(c_emptyset,V_y,T_a) = V_y ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f20,axiom,(
% 222.64/28.37    (![V_y,T_a]: (c_union(V_y,c_emptyset,T_a) = V_y ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f24,axiom,(
% 222.64/28.37    (![V_y,T_a]: (c_uminus(c_uminus(V_y,tc_set(T_a)),tc_set(T_a)) = V_y ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f26,axiom,(
% 222.64/28.37    (![V_A,T_a]: (c_lessequals(c_emptyset,V_A,tc_set(T_a)) ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f28,axiom,(
% 222.64/28.37    (![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 ) ))),
% 222.64/28.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 222.64/28.37  fof(f30,plain,(
% 222.64/28.37    c_in(v_a,v_A,tc_set(t_a))),
% 222.64/28.37    inference(cnf_transformation,[status(esa)],[f1])).
% 222.64/28.37  fof(f31,plain,(
% 222.64/28.37    c_inter(v_a,v_t,t_a)=c_emptyset),
% 222.64/28.37    inference(cnf_transformation,[status(esa)],[f2])).
% 222.64/28.37  fof(f32,plain,(
% 222.64/28.37    c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a))),
% 222.64/28.37    inference(cnf_transformation,[status(esa)],[f3])).
% 222.64/28.37  fof(f33,plain,(
% 222.64/28.37    c_inter(c_union(v_a,v_t,t_a),v_u,t_a)=c_emptyset),
% 222.64/28.37    inference(cnf_transformation,[status(esa)],[f4])).
% 222.64/28.37  fof(f34,plain,(
% 222.64/28.37    ~c_in(c_union(c_union(v_a,v_t,t_a),v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f5])).
% 223.14/28.40  fof(f35,plain,(
% 223.14/28.40    c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))|~c_inter(v_t,v_u,t_a)=c_emptyset|~c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a))),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f6])).
% 223.14/28.40  fof(f36,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (~c_in(X0,X1,tc_set(X2))|~c_in(X3,c_Mutil_Otiling(X1,X2),tc_set(X2))|~c_inter(X0,X3,X2)=c_emptyset|c_in(c_union(X0,X3,X2),c_Mutil_Otiling(X1,X2),tc_set(X2)))),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f7])).
% 223.14/28.40  fof(f38,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_uminus(c_minus(X0,X1,tc_set(X2)),tc_set(X2))=c_union(c_uminus(X0,tc_set(X2)),X1,X2))),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f9])).
% 223.14/28.40  fof(f39,plain,(
% 223.14/28.40    ![X0]: (c_uminus(c_UNIV,tc_set(X0))=c_emptyset)),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f10])).
% 223.14/28.40  fof(f40,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_minus(X0,c_uminus(X1,tc_set(X2)),tc_set(X2))=c_inter(X0,X1,X2))),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f11])).
% 223.14/28.40  fof(f41,plain,(
% 223.14/28.40    ![X0,X1]: (c_inter(c_UNIV,X0,X1)=X0)),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f12])).
% 223.14/28.40  fof(f44,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_minus(X0,X1,tc_set(X2)),X1,X2)=c_union(X0,X1,X2))),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f14])).
% 223.14/28.40  fof(f45,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_minus(X1,X0,tc_set(X2)),X2)=c_union(X0,X1,X2))),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f15])).
% 223.14/28.40  fof(f46,plain,(
% 223.14/28.40    ![X0,X1]: (c_union(c_UNIV,X0,X1)=c_UNIV)),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f16])).
% 223.14/28.40  fof(f47,plain,(
% 223.14/28.40    ![X0,X1]: (c_union(X0,X0,X1)=X0)),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f17])).
% 223.14/28.40  fof(f48,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(X0,c_union(X1,X3,X2),X2))),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f18])).
% 223.14/28.40  fof(f49,plain,(
% 223.14/28.40    ![X0,X1]: (c_union(c_emptyset,X0,X1)=X0)),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f19])).
% 223.14/28.40  fof(f50,plain,(
% 223.14/28.40    ![X0,X1]: (c_union(X0,c_emptyset,X1)=X0)),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f20])).
% 223.14/28.40  fof(f56,plain,(
% 223.14/28.40    ![X0,X1]: (c_uminus(c_uminus(X0,tc_set(X1)),tc_set(X1))=X0)),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f24])).
% 223.14/28.40  fof(f58,plain,(
% 223.14/28.40    ![X0,X1]: (c_lessequals(c_emptyset,X0,tc_set(X1)))),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f26])).
% 223.14/28.40  fof(f60,plain,(
% 223.14/28.40    ![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)),
% 223.14/28.40    inference(miniscoping,[status(esa)],[f28])).
% 223.14/28.40  fof(f61,plain,(
% 223.14/28.40    ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 223.14/28.40    inference(cnf_transformation,[status(esa)],[f60])).
% 223.14/28.40  fof(f63,plain,(
% 223.14/28.40    spl0_0 <=> c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))),
% 223.14/28.40    introduced(split_symbol_definition)).
% 223.14/28.40  fof(f66,plain,(
% 223.14/28.40    spl0_1 <=> c_inter(v_t,v_u,t_a)=c_emptyset),
% 223.14/28.40    introduced(split_symbol_definition)).
% 223.14/28.40  fof(f68,plain,(
% 223.14/28.40    ~c_inter(v_t,v_u,t_a)=c_emptyset|spl0_1),
% 223.14/28.40    inference(component_clause,[status(thm)],[f66])).
% 223.14/28.40  fof(f69,plain,(
% 223.14/28.40    spl0_2 <=> c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a))),
% 223.14/28.40    introduced(split_symbol_definition)).
% 223.14/28.40  fof(f71,plain,(
% 223.14/28.40    ~c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a))|spl0_2),
% 223.14/28.40    inference(component_clause,[status(thm)],[f69])).
% 223.14/28.40  fof(f72,plain,(
% 223.14/28.40    spl0_0|~spl0_1|~spl0_2),
% 223.14/28.40    inference(split_clause,[status(thm)],[f35,f63,f66,f69])).
% 223.14/28.40  fof(f73,plain,(
% 223.14/28.40    $false|spl0_2),
% 223.14/28.40    inference(forward_subsumption_resolution,[status(thm)],[f71,f32])).
% 223.14/28.40  fof(f74,plain,(
% 223.14/28.40    spl0_2),
% 223.14/28.40    inference(contradiction_clause,[status(thm)],[f73])).
% 223.14/28.40  fof(f76,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,X1,X2)=c_union(X0,c_union(X1,c_union(X0,X1,X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f47,f48])).
% 223.14/28.40  fof(f77,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(X0,c_union(X1,X2,X3),X3),X4,X3)=c_union(c_union(X0,X1,X3),c_union(X2,X4,X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f48])).
% 223.14/28.40  fof(f80,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,X1,X2)=c_union(X0,c_union(X0,X1,X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f47,f48])).
% 223.14/28.40  fof(f81,plain,(
% 223.14/28.40    ~c_in(c_union(v_a,c_union(v_t,v_u,t_a),t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f34])).
% 223.14/28.40  fof(f84,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(X0,c_union(X1,c_union(c_union(X0,X1,X2),X3,X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f80])).
% 223.14/28.40  fof(f85,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(c_union(X0,X1,X2),c_union(X0,c_union(X1,X3,X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f80])).
% 223.14/28.40  fof(f89,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(X0,c_union(c_union(X0,X1,X2),X3,X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f80,f48])).
% 223.14/28.40  fof(f97,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(X0,c_union(X1,X2,X3),X3)=c_union(X0,c_union(X1,c_union(X2,c_union(X0,c_union(X1,X2,X3),X3),X3),X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f76])).
% 223.14/28.40  fof(f104,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(c_union(X0,X1,X2),c_union(X3,c_union(X0,c_union(X1,X3,X2),X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f76])).
% 223.14/28.40  fof(f126,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(X0,c_union(c_union(X1,c_union(X0,X1,X2),X2),X3,X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f76,f48])).
% 223.14/28.40  fof(f186,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(X0,X1,X2),c_union(X1,c_union(X0,X1,X2),X2),X2)=c_union(X0,c_union(X1,c_union(X0,X1,X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f76,f84])).
% 223.14/28.40  fof(f187,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(X0,X1,X2),c_union(X1,c_union(X0,X1,X2),X2),X2)=c_union(X0,X1,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f76,f186])).
% 223.14/28.40  fof(f188,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(X0,c_union(X1,c_union(X0,c_union(X1,X3,X2),X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f84])).
% 223.14/28.40  fof(f244,plain,(
% 223.14/28.40    spl0_3 <=> c_in(v_a,v_A,tc_set(t_a))),
% 223.14/28.40    introduced(split_symbol_definition)).
% 223.14/28.40  fof(f246,plain,(
% 223.14/28.40    ~c_in(v_a,v_A,tc_set(t_a))|spl0_3),
% 223.14/28.40    inference(component_clause,[status(thm)],[f244])).
% 223.14/28.40  fof(f505,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(c_union(X0,X1,X2),X0,X2),X1,X2)=c_union(c_union(X0,X1,X2),c_union(X0,c_union(X0,X1,X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f47,f188])).
% 223.14/28.40  fof(f506,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(c_union(X0,X1,X2),X0,X2),X1,X2)=c_union(c_union(X0,X1,X2),c_union(X0,X1,X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f80,f505])).
% 223.14/28.40  fof(f507,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(c_union(X0,X1,X2),X0,X2),X1,X2)=c_union(X0,X1,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f47,f506])).
% 223.14/28.40  fof(f508,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,c_union(X1,X2,X3),X3),c_union(X2,c_union(X1,X2,X3),X3),X3)=c_union(X0,c_union(c_union(X1,X2,X3),c_union(X0,c_union(X1,X2,X3),X3),X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f187,f188])).
% 223.14/28.40  fof(f509,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,c_union(X1,X2,X3),X3),c_union(X2,c_union(X1,X2,X3),X3),X3)=c_union(X0,c_union(X1,X2,X3),X3))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f76,f508])).
% 223.14/28.40  fof(f526,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(X0,X1,X2),X1,X2)=c_union(X0,c_union(X1,c_union(X0,X1,X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f47,f188])).
% 223.14/28.40  fof(f527,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(X0,X1,X2),X1,X2)=c_union(X0,X1,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f76,f526])).
% 223.14/28.40  fof(f580,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,c_union(X1,X2,X3),X3),X2,X3)=c_union(c_union(X0,X1,X3),X2,X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f527])).
% 223.14/28.40  fof(f627,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(X0,c_union(X1,X0,X2),X2),X1,X2)=c_union(X0,X1,X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f507])).
% 223.14/28.40  fof(f690,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(c_union(c_union(X0,X1,X2),X0,X2),c_union(X1,X3,X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f507,f48])).
% 223.14/28.40  fof(f695,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_union(c_union(X1,X0,X2),X1,X2),X2)=c_union(X0,X1,X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f627])).
% 223.14/28.40  fof(f782,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(X0,c_union(c_union(X1,c_union(X2,X0,X3),X3),c_union(X1,X2,X3),X3),X3)=c_union(X0,c_union(X1,X2,X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f695])).
% 223.14/28.40  fof(f833,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),c_union(c_union(X3,X1,X2),X3,X2),X2)=c_union(X0,c_union(X1,c_union(X0,c_union(X1,X3,X2),X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f695,f188])).
% 223.14/28.40  fof(f834,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),c_union(c_union(X3,X1,X2),X3,X2),X2)=c_union(c_union(X0,X1,X2),X3,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f188,f833])).
% 223.14/28.40  fof(f835,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,c_union(c_union(X1,X0,X2),X1,X2),X2),X3,X2)=c_union(X0,c_union(c_union(c_union(c_union(X1,X0,X2),X1,X2),c_union(X0,X1,X2),X2),X3,X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f695,f126])).
% 223.14/28.40  fof(f836,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(X0,c_union(c_union(c_union(c_union(X1,X0,X2),X1,X2),c_union(X0,X1,X2),X2),X3,X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f695,f835])).
% 223.14/28.40  fof(f837,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(X0,c_union(c_union(c_union(X1,X0,X2),X1,X2),X3,X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f690,f836])).
% 223.14/28.40  fof(f865,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,c_union(X1,X2,X3),X3),X2,X3)=c_union(c_union(c_union(X0,c_union(c_union(X1,X2,X3),X0,X3),X3),X1,X3),X2,X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f627,f580])).
% 223.14/28.40  fof(f866,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(c_union(c_union(X0,c_union(c_union(X1,X3,X2),X0,X2),X2),X1,X2),X3,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f580,f865])).
% 223.14/28.40  fof(f869,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(X0,c_union(X1,c_union(X2,X3,X4),X4),X4),X3,X4)=c_union(c_union(c_union(X0,X1,X4),X2,X4),X3,X4))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f580])).
% 223.14/28.40  fof(f889,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(X0,c_union(c_union(X1,X2,X3),X4,X3),X3),X4,X3)=c_union(c_union(X0,c_union(X1,c_union(X2,X4,X3),X3),X3),X4,X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f580,f580])).
% 223.14/28.40  fof(f890,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(X0,c_union(X1,X2,X3),X3),X4,X3)=c_union(c_union(X0,c_union(X1,c_union(X2,X4,X3),X3),X3),X4,X3))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f580,f889])).
% 223.14/28.40  fof(f891,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(X0,c_union(X1,X2,X3),X3),X4,X3)=c_union(c_union(c_union(X0,X1,X3),X2,X3),X4,X3))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f869,f890])).
% 223.14/28.40  fof(f892,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,c_union(X1,X2,X3),X3),X2,X3)=c_union(c_union(X0,c_union(X1,c_union(X2,X1,X3),X3),X3),X2,X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f627,f580])).
% 223.14/28.40  fof(f893,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(c_union(X0,c_union(X1,c_union(X3,X1,X2),X2),X2),X3,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f580,f892])).
% 223.14/28.40  fof(f902,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(X0,c_union(c_union(X1,X2,X3),X4,X3),X3),c_union(c_union(X1,X2,X3),X4,X3),X3)=c_union(c_union(X0,X1,X3),c_union(c_union(X1,X2,X3),X4,X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f89,f580])).
% 223.14/28.40  fof(f903,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(X0,c_union(c_union(X1,X2,X3),X4,X3),X3)=c_union(c_union(X0,X1,X3),c_union(c_union(X1,X2,X3),X4,X3),X3))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f527,f902])).
% 223.14/28.40  fof(f945,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(X0,c_union(X1,c_union(X2,X3,X4),X4),X4),X3,X4)=c_union(X0,c_union(c_union(X1,c_union(X2,X3,X4),X4),c_union(X0,c_union(c_union(X1,X2,X4),X3,X4),X4),X4),X4))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f580,f188])).
% 223.14/28.40  fof(f946,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(c_union(X0,X1,X2),X3,X2),X4,X2)=c_union(X0,c_union(c_union(X1,c_union(X3,X4,X2),X2),c_union(X0,c_union(c_union(X1,X3,X2),X4,X2),X2),X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f869,f945])).
% 223.14/28.40  fof(f958,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(c_union(X0,X1,X2),X3,X2),X4,X2)=c_union(c_union(X0,c_union(X1,X3,X2),X2),c_union(X3,X4,X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f580,f48])).
% 223.14/28.40  fof(f985,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(c_union(X0,X1,X2),X3,X2),c_union(X1,X3,X2),X2)=c_union(X0,c_union(X1,X3,X2),X2))),
% 223.14/28.40    inference(backward_demodulation,[status(thm)],[f958,f509])).
% 223.14/28.40  fof(f1009,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,c_union(X1,X2,X3),X3),X2,X3)=c_union(X0,c_union(c_union(c_union(c_union(X1,X2,X3),X0,X3),X1,X3),X2,X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f580,f837])).
% 223.14/28.40  fof(f1010,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(X0,c_union(c_union(c_union(c_union(X1,X3,X2),X0,X2),X1,X2),X3,X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f580,f1009])).
% 223.14/28.40  fof(f1013,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(X0,c_union(c_union(X1,X0,X2),c_union(X1,X3,X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f837])).
% 223.14/28.40  fof(f1542,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(X0,c_union(c_union(X1,X2,X3),X4,X3),X3)=c_union(X0,c_union(c_union(X1,c_union(X2,X4,X3),X3),c_union(X0,c_union(c_union(X1,X2,X3),X4,X3),X3),X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f891,f76])).
% 223.14/28.40  fof(f1543,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(X0,c_union(c_union(X1,X2,X3),X4,X3),X3)=c_union(c_union(c_union(X0,X1,X3),X2,X3),X4,X3))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f946,f1542])).
% 223.14/28.40  fof(f1643,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),c_union(c_union(X3,X1,X2),X3,X2),X2)=c_union(c_union(X0,c_union(X1,c_union(X3,X1,X2),X2),X2),c_union(c_union(X3,X1,X2),X3,X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f507,f893])).
% 223.14/28.40  fof(f1644,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(c_union(X0,c_union(X1,c_union(X3,X1,X2),X2),X2),c_union(c_union(X3,X1,X2),X3,X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f834,f1643])).
% 223.14/28.40  fof(f1645,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(c_union(c_union(X0,X1,X2),c_union(X3,X1,X2),X2),X3,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f958,f1644])).
% 223.14/28.40  fof(f2063,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(X0,X1,X2),c_union(c_union(X3,c_union(X1,X3,X2),X2),X4,X2),X2)=c_union(X0,c_union(c_union(X1,X0,X2),c_union(c_union(X1,X3,X2),X4,X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f126,f1013])).
% 223.14/28.40  fof(f2069,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(X0,X1,X2),c_union(c_union(X1,X3,X2),X4,X2),X2)=c_union(X0,c_union(c_union(X1,X0,X2),c_union(c_union(X1,X3,X2),X4,X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f89,f1013])).
% 223.14/28.40  fof(f2070,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(X0,c_union(c_union(X1,X2,X3),X4,X3),X3)=c_union(X0,c_union(c_union(X1,X0,X3),c_union(c_union(X1,X2,X3),X4,X3),X3),X3))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f903,f2069])).
% 223.14/28.40  fof(f2175,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(c_union(X0,X1,X2),c_union(c_union(X3,c_union(X1,X3,X2),X2),X4,X2),X2)=c_union(X0,c_union(c_union(X1,X3,X2),X4,X2),X2))),
% 223.14/28.40    inference(backward_demodulation,[status(thm)],[f2070,f2063])).
% 223.14/28.40  fof(f2220,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(X0,c_union(c_union(X1,c_union(X2,c_union(X0,X1,X3),X3),X3),X2,X3),X3)=c_union(c_union(X0,X1,X3),X2,X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f627,f1543])).
% 223.14/28.40  fof(f2311,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(X0,c_union(X1,c_union(c_union(X2,X0,X3),c_union(X1,X2,X3),X3),X3),X3)=c_union(X0,c_union(X1,X2,X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f1543,f695])).
% 223.14/28.40  fof(f2364,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4,X5]: (c_union(c_union(c_union(c_union(X0,X1,X2),X3,X2),X4,X2),X5,X2)=c_union(c_union(c_union(X0,X1,X2),X3,X2),c_union(c_union(X0,c_union(c_union(X1,X3,X2),X4,X2),X2),X5,X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f1543,f89])).
% 223.14/28.40  fof(f3366,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(X0,c_union(c_union(X1,X2,X3),X4,X3),X3)=c_union(X0,c_union(c_union(X1,X2,X3),c_union(X4,c_union(X0,c_union(X1,c_union(X2,X4,X3),X3),X3),X3),X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f97])).
% 223.14/28.40  fof(f5800,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(X0,c_union(c_union(X1,c_union(X2,X0,X3),X3),c_union(c_union(X1,c_union(c_union(X2,X0,X3),X1,X3),X3),X2,X3),X3),X3)=c_union(X0,c_union(c_union(X1,c_union(c_union(X2,X0,X3),X1,X3),X3),X2,X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f627,f782])).
% 223.14/28.40  fof(f5801,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(X0,c_union(X1,c_union(c_union(c_union(X2,X0,X3),X1,X3),X2,X3),X3),X3)=c_union(X0,c_union(c_union(X1,c_union(c_union(X2,X0,X3),X1,X3),X3),X2,X3),X3))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f2175,f5800])).
% 223.14/28.40  fof(f7014,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(X0,c_union(c_union(c_union(X1,X2,X3),X0,X3),c_union(c_union(X1,c_union(c_union(X2,X0,X3),X1,X3),X3),X2,X3),X3),X3)=c_union(X0,c_union(c_union(X1,c_union(c_union(X2,X0,X3),X1,X3),X3),X2,X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f866,f695])).
% 223.14/28.40  fof(f7015,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(X0,c_union(c_union(c_union(c_union(X1,X2,X3),X0,X3),X1,X3),X2,X3),X3)=c_union(X0,c_union(c_union(X1,c_union(c_union(X2,X0,X3),X1,X3),X3),X2,X3),X3))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f2364,f7014])).
% 223.14/28.40  fof(f7016,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),X3,X2)=c_union(X0,c_union(c_union(X1,c_union(c_union(X3,X0,X2),X1,X2),X2),X3,X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f1010,f7015])).
% 223.14/28.40  fof(f7055,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(X0,c_union(X1,c_union(c_union(c_union(X2,X0,X3),X1,X3),X2,X3),X3),X3)=c_union(c_union(X0,X1,X3),X2,X3))),
% 223.14/28.40    inference(backward_demodulation,[status(thm)],[f7016,f5801])).
% 223.14/28.40  fof(f7143,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(c_union(X0,X1,X2),X3,X2),c_union(X1,X3,X2),X2)=c_union(c_union(c_union(c_union(X0,X1,X2),X3,X2),X0,X2),c_union(X1,X3,X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f104,f869])).
% 223.14/28.40  fof(f7144,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(X0,c_union(X1,X2,X3),X3)=c_union(c_union(c_union(c_union(X0,X1,X3),X2,X3),X0,X3),c_union(X1,X2,X3),X3))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f985,f7143])).
% 223.14/28.40  fof(f23019,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4,X5]: (c_union(c_union(X0,c_union(X1,c_union(X2,X3,X4),X4),X4),X5,X4)=c_union(c_union(X0,c_union(X1,X2,X4),X4),c_union(X3,X5,X4),X4))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f77])).
% 223.14/28.40  fof(f23270,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(X0,c_union(X1,c_union(X2,X3,X4),X4),X4)=c_union(X0,c_union(c_union(X1,X2,X4),c_union(X3,c_union(X0,c_union(X1,c_union(X2,X3,X4),X4),X4),X4),X4),X4))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f77,f76])).
% 223.14/28.40  fof(f23271,plain,(
% 223.14/28.40    ![X0,X1,X2,X3,X4]: (c_union(X0,c_union(X1,c_union(X2,X3,X4),X4),X4)=c_union(X0,c_union(c_union(X1,X2,X4),X3,X4),X4))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f3366,f23270])).
% 223.14/28.40  fof(f25809,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_UNIV,X1)=c_union(c_union(X0,c_UNIV,X1),X2,X1))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f46,f7055])).
% 223.14/28.40  fof(f26206,plain,(
% 223.14/28.40    ![X0]: (c_uminus(c_emptyset,tc_set(X0))=c_UNIV)),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f39,f56])).
% 223.14/28.40  fof(f26207,plain,(
% 223.14/28.40    ![X0,X1]: (c_minus(X0,c_emptyset,tc_set(X1))=c_union(X0,c_emptyset,X1))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f50,f44])).
% 223.14/28.40  fof(f26208,plain,(
% 223.14/28.40    ![X0,X1]: (c_minus(X0,c_emptyset,tc_set(X1))=X0)),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f50,f26207])).
% 223.14/28.40  fof(f26490,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (~c_in(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2))|~c_in(X1,c_Mutil_Otiling(X3,X2),tc_set(X2))|~c_inter(c_minus(X0,X1,tc_set(X2)),X1,X2)=c_emptyset|c_in(c_union(X0,X1,X2),c_Mutil_Otiling(X3,X2),tc_set(X2)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f44,f36])).
% 223.14/28.40  fof(f26504,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_minus(X0,X1,tc_set(X2)),X1,X2)=c_union(c_minus(X0,X1,tc_set(X2)),c_union(X0,X1,X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f44,f80])).
% 223.14/28.40  fof(f26505,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,X1,X2)=c_union(c_minus(X0,X1,tc_set(X2)),c_union(X0,X1,X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f44,f26504])).
% 223.14/28.40  fof(f26506,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,X1,X2)=c_union(c_union(c_minus(X0,X1,tc_set(X2)),X0,X2),X1,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f48,f26505])).
% 223.14/28.40  fof(f26644,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),c_minus(X3,X1,tc_set(X2)),X2)=c_union(c_union(X0,X1,X2),c_union(X0,c_union(X1,X3,X2),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f45,f85])).
% 223.14/28.40  fof(f26645,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(c_union(X0,X1,X2),c_minus(X3,X1,tc_set(X2)),X2)=c_union(c_union(X0,X1,X2),X3,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f85,f26644])).
% 223.14/28.40  fof(f27707,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_minus(X0,X1,tc_set(X2))=c_inter(X0,c_uminus(X1,tc_set(X2)),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f56,f40])).
% 223.14/28.40  fof(f27710,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_uminus(X0,tc_set(X1)),c_inter(X2,X0,X1),X1)=c_union(c_uminus(X0,tc_set(X1)),X2,X1))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f40,f45])).
% 223.14/28.40  fof(f27712,plain,(
% 223.14/28.40    ![X0,X1]: (c_minus(c_UNIV,X0,tc_set(X1))=c_uminus(X0,tc_set(X1)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f41,f27707])).
% 223.14/28.40  fof(f28152,plain,(
% 223.14/28.40    ![X0,X1]: (c_union(c_UNIV,X0,X1)=c_union(c_minus(c_UNIV,X0,tc_set(X1)),c_UNIV,X1))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f25809,f26506])).
% 223.14/28.40  fof(f28153,plain,(
% 223.14/28.40    ![X0,X1]: (c_UNIV=c_union(c_minus(c_UNIV,X0,tc_set(X1)),c_UNIV,X1))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f46,f28152])).
% 223.14/28.40  fof(f28154,plain,(
% 223.14/28.40    ![X0,X1]: (c_UNIV=c_union(c_uminus(X0,tc_set(X1)),c_UNIV,X1))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f27712,f28153])).
% 223.14/28.40  fof(f28632,plain,(
% 223.14/28.40    ![X0,X1]: (c_UNIV=c_union(X0,c_UNIV,X1))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f56,f28154])).
% 223.14/28.40  fof(f30524,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_uminus(c_inter(X0,X1,X2),tc_set(X2))=c_union(c_uminus(X0,tc_set(X2)),c_uminus(X1,tc_set(X2)),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f40,f38])).
% 223.14/28.40  fof(f30527,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_minus(X0,c_union(c_uminus(X1,tc_set(X2)),X3,X2),tc_set(X2))=c_inter(X0,c_minus(X1,X3,tc_set(X2)),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f38,f40])).
% 223.14/28.40  fof(f30528,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_uminus(c_union(c_uminus(X0,tc_set(X1)),X2,X1),tc_set(X1))=c_minus(X0,X2,tc_set(X1)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f38,f56])).
% 223.14/28.40  fof(f30546,plain,(
% 223.14/28.40    spl0_19 <=> c_emptyset=c_emptyset),
% 223.14/28.40    introduced(split_symbol_definition)).
% 223.14/28.40  fof(f30548,plain,(
% 223.14/28.40    ~c_emptyset=c_emptyset|spl0_19),
% 223.14/28.40    inference(component_clause,[status(thm)],[f30546])).
% 223.14/28.40  fof(f30555,plain,(
% 223.14/28.40    $false|spl0_19),
% 223.14/28.40    inference(trivial_equality_resolution,[status(esa)],[f30548])).
% 223.14/28.40  fof(f30556,plain,(
% 223.14/28.40    spl0_19),
% 223.14/28.40    inference(contradiction_clause,[status(thm)],[f30555])).
% 223.14/28.40  fof(f30561,plain,(
% 223.14/28.40    ![X0,X1]: (c_uminus(c_UNIV,tc_set(X0))=c_minus(X1,c_UNIV,tc_set(X0)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f28632,f30528])).
% 223.14/28.40  fof(f30562,plain,(
% 223.14/28.40    ![X0,X1]: (c_emptyset=c_minus(X0,c_UNIV,tc_set(X1)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f39,f30561])).
% 223.14/28.40  fof(f30563,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_uminus(c_union(c_uminus(X0,tc_set(X1)),X2,X1),tc_set(X1))=c_minus(X0,c_minus(X2,c_uminus(X0,tc_set(X1)),tc_set(X1)),tc_set(X1)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f45,f30528])).
% 223.14/28.40  fof(f30564,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_minus(X0,X1,tc_set(X2))=c_minus(X0,c_minus(X1,c_uminus(X0,tc_set(X2)),tc_set(X2)),tc_set(X2)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30528,f30563])).
% 223.14/28.40  fof(f30565,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_minus(X0,X1,tc_set(X2))=c_minus(X0,c_inter(X1,X0,X2),tc_set(X2)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f40,f30564])).
% 223.14/28.40  fof(f30574,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_uminus(c_union(c_union(c_uminus(X0,tc_set(X1)),X2,X1),X3,X1),tc_set(X1))=c_minus(X0,c_union(c_union(X2,c_union(X3,c_union(c_uminus(X0,tc_set(X1)),X2,X1),X1),X1),X3,X1),tc_set(X1)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f2220,f30528])).
% 223.14/28.40  fof(f30575,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_uminus(c_union(c_uminus(X0,tc_set(X1)),c_union(X2,X3,X1),X1),tc_set(X1))=c_minus(X0,c_union(c_union(X2,c_union(X3,c_uminus(X0,tc_set(X1)),X1),X1),c_union(X2,X3,X1),X1),tc_set(X1)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f782,f30528])).
% 223.14/28.40  fof(f30576,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_minus(X0,c_union(X1,X2,X3),tc_set(X3))=c_minus(X0,c_union(c_union(X1,c_union(X2,c_uminus(X0,tc_set(X3)),X3),X3),c_union(X1,X2,X3),X3),tc_set(X3)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30528,f30575])).
% 223.14/28.40  fof(f30577,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_minus(X0,c_union(X1,X2,X3),tc_set(X3))=c_minus(X0,c_union(c_union(X1,c_union(X2,c_union(c_uminus(X0,tc_set(X3)),X1,X3),X3),X3),X2,X3),tc_set(X3)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f23019,f30576])).
% 223.14/28.40  fof(f30578,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_minus(X0,c_union(X1,X2,X3),tc_set(X3))=c_uminus(c_union(c_union(c_uminus(X0,tc_set(X3)),X1,X3),X2,X3),tc_set(X3)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30574,f30577])).
% 223.14/28.40  fof(f30622,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_uminus(c_union(c_union(c_uminus(X0,tc_set(X1)),X2,X1),X3,X1),tc_set(X1))=c_minus(c_minus(X0,X2,tc_set(X1)),X3,tc_set(X1)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f38,f30528])).
% 223.14/28.40  fof(f30623,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_minus(X0,c_union(X1,X2,X3),tc_set(X3))=c_minus(c_minus(X0,X1,tc_set(X3)),X2,tc_set(X3)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30578,f30622])).
% 223.14/28.40  fof(f30624,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_uminus(c_union(X0,X1,X2),tc_set(X2))=c_minus(c_uminus(X0,tc_set(X2)),X1,tc_set(X2)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f56,f30528])).
% 223.14/28.40  fof(f30843,plain,(
% 223.14/28.40    ![X0,X1]: (c_minus(X0,c_UNIV,tc_set(X1))=c_minus(X0,X0,tc_set(X1)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f41,f30565])).
% 223.14/28.40  fof(f30844,plain,(
% 223.14/28.40    ![X0,X1]: (c_emptyset=c_minus(X0,X0,tc_set(X1)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30562,f30843])).
% 223.14/28.40  fof(f30864,plain,(
% 223.14/28.40    ![X0,X1]: (c_uminus(c_emptyset,tc_set(X0))=c_union(c_uminus(X1,tc_set(X0)),X1,X0))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f30844,f38])).
% 223.14/28.40  fof(f30865,plain,(
% 223.14/28.40    ![X0,X1]: (c_UNIV=c_union(c_uminus(X0,tc_set(X1)),X0,X1))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f26206,f30864])).
% 223.14/28.40  fof(f32732,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_UNIV=c_union(c_union(c_uminus(X0,tc_set(X1)),X2,X1),c_minus(X0,X2,tc_set(X1)),X1))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f38,f30865])).
% 223.14/28.40  fof(f32733,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_UNIV=c_union(c_union(c_uminus(X0,tc_set(X1)),X2,X1),X0,X1))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f26645,f32732])).
% 223.14/28.40  fof(f32734,plain,(
% 223.14/28.40    ![X0,X1]: (c_UNIV=c_union(X0,c_uminus(X0,tc_set(X1)),X1))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f56,f30865])).
% 223.14/28.40  fof(f32980,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_union(X1,c_union(c_UNIV,c_union(X1,c_uminus(X0,tc_set(X2)),X2),X2),X2),X2)=c_union(X0,c_union(X1,c_uminus(X0,tc_set(X2)),X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f30865,f2311])).
% 223.14/28.40  fof(f32981,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_union(X1,c_union(c_union(c_UNIV,X1,X2),c_uminus(X0,tc_set(X2)),X2),X2),X2)=c_union(X0,c_union(X1,c_uminus(X0,tc_set(X2)),X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f23271,f32980])).
% 223.14/28.40  fof(f32982,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_union(X1,c_union(c_UNIV,c_uminus(X0,tc_set(X2)),X2),X2),X2)=c_union(X0,c_union(X1,c_uminus(X0,tc_set(X2)),X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f46,f32981])).
% 223.14/28.40  fof(f32983,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_union(X1,c_UNIV,X2),X2)=c_union(X0,c_union(X1,c_uminus(X0,tc_set(X2)),X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f46,f32982])).
% 223.14/28.40  fof(f32984,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_UNIV,X1)=c_union(X0,c_union(X2,c_uminus(X0,tc_set(X1)),X1),X1))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f28632,f32983])).
% 223.14/28.40  fof(f32985,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_UNIV=c_union(X0,c_union(X1,c_uminus(X0,tc_set(X2)),X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f28632,f32984])).
% 223.14/28.40  fof(f33091,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(X0,X1,X2),c_uminus(X1,tc_set(X2)),X2)=c_union(c_union(c_union(X0,X1,X2),c_UNIV,X2),c_uminus(X1,tc_set(X2)),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f30865,f1645])).
% 223.14/28.40  fof(f33092,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(X0,X1,X2),c_uminus(X1,tc_set(X2)),X2)=c_union(c_UNIV,c_uminus(X1,tc_set(X2)),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f28632,f33091])).
% 223.14/28.40  fof(f33093,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(X0,X1,X2),c_uminus(X1,tc_set(X2)),X2)=c_UNIV)),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f46,f33092])).
% 223.14/28.40  fof(f33381,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_union(c_uminus(X0,tc_set(X1)),X2,X1),X1)=c_union(c_union(c_union(c_UNIV,X2,X1),X0,X1),c_union(c_uminus(X0,tc_set(X1)),X2,X1),X1))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f32734,f7144])).
% 223.14/28.40  fof(f33382,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_union(c_uminus(X0,tc_set(X1)),X2,X1),X1)=c_union(c_union(c_union(c_union(c_UNIV,X2,X1),X0,X1),c_uminus(X0,tc_set(X1)),X1),X2,X1))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f48,f33381])).
% 223.14/28.40  fof(f33383,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_union(c_uminus(X0,tc_set(X1)),X2,X1),X1)=c_union(c_UNIV,X2,X1))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f33093,f33382])).
% 223.14/28.40  fof(f33384,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,c_union(c_uminus(X0,tc_set(X1)),X2,X1),X1)=c_UNIV)),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f46,f33383])).
% 223.14/28.40  fof(f35796,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_uminus(c_UNIV,tc_set(X0))=c_minus(X1,c_union(X2,c_uminus(c_uminus(X1,tc_set(X0)),tc_set(X0)),X0),tc_set(X0)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f32985,f30528])).
% 223.14/28.40  fof(f35797,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_minus(X0,c_union(X1,c_uminus(c_uminus(X0,tc_set(X2)),tc_set(X2)),X2),tc_set(X2)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f39,f35796])).
% 223.14/28.40  fof(f35798,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_minus(X0,c_union(X1,X0,X2),tc_set(X2)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f56,f35797])).
% 223.14/28.40  fof(f36447,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_emptyset=c_minus(X0,c_union(X1,c_union(X2,X0,X3),X3),tc_set(X3)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f35798])).
% 223.14/28.40  fof(f36493,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_emptyset,c_union(X0,X1,X2),X2)=c_union(X1,c_union(X0,X1,X2),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f35798,f44])).
% 223.14/28.40  fof(f36494,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,X1,X2)=c_union(X1,c_union(X0,X1,X2),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f49,f36493])).
% 223.14/28.40  fof(f36505,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(X0,X1,X2),X0,X2)=c_union(X1,X0,X2))),
% 223.14/28.40    inference(backward_demodulation,[status(thm)],[f36494,f627])).
% 223.14/28.40  fof(f45346,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_uminus(c_UNIV,tc_set(X0))=c_minus(X1,c_union(c_uminus(c_uminus(X1,tc_set(X0)),tc_set(X0)),X2,X0),tc_set(X0)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f33384,f30528])).
% 223.14/28.40  fof(f45347,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_minus(X0,c_union(c_uminus(c_uminus(X0,tc_set(X1)),tc_set(X1)),X2,X1),tc_set(X1)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f39,f45346])).
% 223.14/28.40  fof(f45348,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_inter(X0,c_minus(c_uminus(X0,tc_set(X1)),X2,tc_set(X1)),X1))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30527,f45347])).
% 223.14/28.40  fof(f45349,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_inter(X0,c_uminus(c_union(X0,X1,X2),tc_set(X2)),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30624,f45348])).
% 223.14/28.40  fof(f45350,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_minus(X0,c_union(X0,X1,X2),tc_set(X2)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f27707,f45349])).
% 223.14/28.40  fof(f45484,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_minus(c_union(X0,X1,X2),c_union(X1,X0,X2),tc_set(X2)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f36505,f45350])).
% 223.14/28.40  fof(f45512,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(c_union(X0,X1,X2),c_emptyset,X2)=c_union(c_union(X0,X1,X2),X0,X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f45350,f45])).
% 223.14/28.40  fof(f45513,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,X1,X2)=c_union(c_union(X0,X1,X2),X0,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f50,f45512])).
% 223.14/28.40  fof(f45514,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_union(X0,X1,X2)=c_union(X1,X0,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f36505,f45513])).
% 223.14/28.40  fof(f45542,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_union(X0,c_union(X1,X2,X3),X3)=c_union(X2,c_union(X0,X1,X3),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48,f45514])).
% 223.14/28.40  fof(f45812,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_emptyset=c_minus(X0,c_union(X1,c_union(X0,X2,X3),X3),tc_set(X3)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f45514,f36447])).
% 223.14/28.40  fof(f46751,plain,(
% 223.14/28.40    spl0_20 <=> c_in(c_minus(v_a,c_union(v_t,v_u,t_a),tc_set(t_a)),v_A,tc_set(t_a))),
% 223.14/28.40    introduced(split_symbol_definition)).
% 223.14/28.40  fof(f46753,plain,(
% 223.14/28.40    ~c_in(c_minus(v_a,c_union(v_t,v_u,t_a),tc_set(t_a)),v_A,tc_set(t_a))|spl0_20),
% 223.14/28.40    inference(component_clause,[status(thm)],[f46751])).
% 223.14/28.40  fof(f46762,plain,(
% 223.14/28.40    spl0_23 <=> c_inter(c_minus(c_union(v_a,v_t,t_a),v_u,tc_set(t_a)),v_u,t_a)=c_emptyset),
% 223.14/28.40    introduced(split_symbol_definition)).
% 223.14/28.40  fof(f46764,plain,(
% 223.14/28.40    ~c_inter(c_minus(c_union(v_a,v_t,t_a),v_u,tc_set(t_a)),v_u,t_a)=c_emptyset|spl0_23),
% 223.14/28.40    inference(component_clause,[status(thm)],[f46762])).
% 223.14/28.40  fof(f47253,plain,(
% 223.14/28.40    c_union(c_uminus(v_u,tc_set(t_a)),c_emptyset,t_a)=c_union(c_uminus(v_u,tc_set(t_a)),c_union(v_a,v_t,t_a),t_a)),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f33,f27710])).
% 223.14/28.40  fof(f47254,plain,(
% 223.14/28.40    c_uminus(v_u,tc_set(t_a))=c_union(c_uminus(v_u,tc_set(t_a)),c_union(v_a,v_t,t_a),t_a)),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f50,f47253])).
% 223.14/28.40  fof(f47255,plain,(
% 223.14/28.40    c_uminus(v_u,tc_set(t_a))=c_union(c_union(c_uminus(v_u,tc_set(t_a)),v_a,t_a),v_t,t_a)),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f48,f47254])).
% 223.14/28.40  fof(f47256,plain,(
% 223.14/28.40    c_uminus(v_u,tc_set(t_a))=c_union(v_t,c_union(c_uminus(v_u,tc_set(t_a)),v_a,t_a),t_a)),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f45514,f47255])).
% 223.14/28.40  fof(f47257,plain,(
% 223.14/28.40    c_uminus(v_u,tc_set(t_a))=c_union(v_a,c_union(v_t,c_uminus(v_u,tc_set(t_a)),t_a),t_a)),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f45542,f47256])).
% 223.14/28.40  fof(f47258,plain,(
% 223.14/28.40    c_union(c_uminus(v_t,tc_set(t_a)),c_emptyset,t_a)=c_union(c_uminus(v_t,tc_set(t_a)),v_a,t_a)),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f31,f27710])).
% 223.14/28.40  fof(f47259,plain,(
% 223.14/28.40    c_uminus(v_t,tc_set(t_a))=c_union(c_uminus(v_t,tc_set(t_a)),v_a,t_a)),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f50,f47258])).
% 223.14/28.40  fof(f47260,plain,(
% 223.14/28.40    c_uminus(v_t,tc_set(t_a))=c_union(v_a,c_uminus(v_t,tc_set(t_a)),t_a)),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f45514,f47259])).
% 223.14/28.40  fof(f47552,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_UNIV=c_union(X0,c_uminus(c_inter(X1,X0,X2),tc_set(X2)),X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f30524,f32985])).
% 223.14/28.40  fof(f47726,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (c_minus(X0,c_union(X1,c_uminus(X2,tc_set(X3)),X3),tc_set(X3))=c_inter(X0,c_minus(X2,X1,tc_set(X3)),X3))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f45514,f30527])).
% 223.14/28.40  fof(f47985,plain,(
% 223.14/28.40    c_emptyset=c_minus(v_t,c_uminus(v_u,tc_set(t_a)),tc_set(t_a))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f47257,f45812])).
% 223.14/28.40  fof(f47986,plain,(
% 223.14/28.40    c_emptyset=c_inter(v_t,v_u,t_a)),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f40,f47985])).
% 223.14/28.40  fof(f47987,plain,(
% 223.14/28.40    $false|spl0_1),
% 223.14/28.40    inference(forward_subsumption_resolution,[status(thm)],[f47986,f68])).
% 223.14/28.40  fof(f47988,plain,(
% 223.14/28.40    spl0_1),
% 223.14/28.40    inference(contradiction_clause,[status(thm)],[f47987])).
% 223.14/28.40  fof(f48029,plain,(
% 223.14/28.40    ![X0]: (c_emptyset=c_minus(v_a,c_union(X0,c_uminus(v_u,tc_set(t_a)),t_a),tc_set(t_a)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f47257,f45812])).
% 223.14/28.40  fof(f48030,plain,(
% 223.14/28.40    ![X0]: (c_emptyset=c_inter(v_a,c_minus(v_u,X0,tc_set(t_a)),t_a))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f47726,f48029])).
% 223.14/28.40  fof(f48215,plain,(
% 223.14/28.40    ![X0]: (c_minus(c_minus(v_u,X0,tc_set(t_a)),v_a,tc_set(t_a))=c_minus(c_minus(v_u,X0,tc_set(t_a)),c_emptyset,tc_set(t_a)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48030,f30565])).
% 223.14/28.40  fof(f48216,plain,(
% 223.14/28.40    ![X0]: (c_minus(v_u,c_union(X0,v_a,t_a),tc_set(t_a))=c_minus(c_minus(v_u,X0,tc_set(t_a)),c_emptyset,tc_set(t_a)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30623,f48215])).
% 223.14/28.40  fof(f48217,plain,(
% 223.14/28.40    ![X0]: (c_minus(v_u,c_union(X0,v_a,t_a),tc_set(t_a))=c_minus(v_u,X0,tc_set(t_a)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f26208,f48216])).
% 223.14/28.40  fof(f48267,plain,(
% 223.14/28.40    ![X0]: (c_minus(v_u,c_UNIV,tc_set(t_a))=c_minus(v_u,c_union(c_uminus(v_a,tc_set(t_a)),X0,t_a),tc_set(t_a)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f32733,f48217])).
% 223.14/28.40  fof(f48268,plain,(
% 223.14/28.40    ![X0]: (c_emptyset=c_minus(v_u,c_union(c_uminus(v_a,tc_set(t_a)),X0,t_a),tc_set(t_a)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30562,f48267])).
% 223.14/28.40  fof(f48269,plain,(
% 223.14/28.40    ![X0]: (c_emptyset=c_inter(v_u,c_minus(v_a,X0,tc_set(t_a)),t_a))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30527,f48268])).
% 223.14/28.40  fof(f48324,plain,(
% 223.14/28.40    ![X0]: (~c_lessequals(c_emptyset,c_inter(c_minus(c_union(v_a,v_t,t_a),v_u,tc_set(t_a)),v_u,t_a),tc_set(X0))|~c_lessequals(c_inter(c_minus(c_union(v_a,v_t,t_a),v_u,tc_set(t_a)),v_u,t_a),c_emptyset,tc_set(X0))|spl0_23)),
% 223.14/28.40    inference(resolution,[status(thm)],[f46764,f61])).
% 223.14/28.40  fof(f48325,plain,(
% 223.14/28.40    ![X0]: (~c_lessequals(c_inter(c_minus(c_union(v_a,v_t,t_a),v_u,tc_set(t_a)),v_u,t_a),c_emptyset,tc_set(X0))|spl0_23)),
% 223.14/28.40    inference(forward_subsumption_resolution,[status(thm)],[f48324,f58])).
% 223.14/28.40  fof(f48390,plain,(
% 223.14/28.40    ![X0]: (c_minus(c_minus(v_a,X0,tc_set(t_a)),v_u,tc_set(t_a))=c_minus(c_minus(v_a,X0,tc_set(t_a)),c_emptyset,tc_set(t_a)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f48269,f30565])).
% 223.14/28.40  fof(f48391,plain,(
% 223.14/28.40    ![X0]: (c_minus(v_a,c_union(X0,v_u,t_a),tc_set(t_a))=c_minus(c_minus(v_a,X0,tc_set(t_a)),c_emptyset,tc_set(t_a)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30623,f48390])).
% 223.14/28.40  fof(f48392,plain,(
% 223.14/28.40    ![X0]: (c_minus(v_a,c_union(X0,v_u,t_a),tc_set(t_a))=c_minus(v_a,X0,tc_set(t_a)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f26208,f48391])).
% 223.14/28.40  fof(f48393,plain,(
% 223.14/28.40    ~c_in(c_minus(v_a,v_t,tc_set(t_a)),v_A,tc_set(t_a))|spl0_20),
% 223.14/28.40    inference(backward_demodulation,[status(thm)],[f48392,f46753])).
% 223.14/28.40  fof(f49192,plain,(
% 223.14/28.40    ![X0]: (c_emptyset=c_minus(v_a,c_union(X0,c_uminus(v_t,tc_set(t_a)),t_a),tc_set(t_a)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f47260,f45812])).
% 223.14/28.40  fof(f49193,plain,(
% 223.14/28.40    ![X0]: (c_emptyset=c_inter(v_a,c_minus(v_t,X0,tc_set(t_a)),t_a))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f47726,f49192])).
% 223.14/28.40  fof(f49304,plain,(
% 223.14/28.40    ![X0]: (c_minus(c_minus(v_t,X0,tc_set(t_a)),v_a,tc_set(t_a))=c_minus(c_minus(v_t,X0,tc_set(t_a)),c_emptyset,tc_set(t_a)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f49193,f30565])).
% 223.14/28.40  fof(f49305,plain,(
% 223.14/28.40    ![X0]: (c_minus(v_t,c_union(X0,v_a,t_a),tc_set(t_a))=c_minus(c_minus(v_t,X0,tc_set(t_a)),c_emptyset,tc_set(t_a)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30623,f49304])).
% 223.14/28.40  fof(f49306,plain,(
% 223.14/28.40    ![X0]: (c_minus(v_t,c_union(X0,v_a,t_a),tc_set(t_a))=c_minus(v_t,X0,tc_set(t_a)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f26208,f49305])).
% 223.14/28.40  fof(f49447,plain,(
% 223.14/28.40    c_minus(v_t,c_UNIV,tc_set(t_a))=c_minus(v_t,c_uminus(v_a,tc_set(t_a)),tc_set(t_a))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f30865,f49306])).
% 223.14/28.40  fof(f49448,plain,(
% 223.14/28.40    c_emptyset=c_minus(v_t,c_uminus(v_a,tc_set(t_a)),tc_set(t_a))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30562,f49447])).
% 223.14/28.40  fof(f49449,plain,(
% 223.14/28.40    c_emptyset=c_inter(v_t,v_a,t_a)),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f40,f49448])).
% 223.14/28.40  fof(f49520,plain,(
% 223.14/28.40    c_minus(v_a,v_t,tc_set(t_a))=c_minus(v_a,c_emptyset,tc_set(t_a))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f49449,f30565])).
% 223.14/28.40  fof(f49521,plain,(
% 223.14/28.40    c_minus(v_a,v_t,tc_set(t_a))=v_a),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f26208,f49520])).
% 223.14/28.40  fof(f49522,plain,(
% 223.14/28.40    ~c_in(v_a,v_A,tc_set(t_a))|spl0_20),
% 223.14/28.40    inference(backward_demodulation,[status(thm)],[f49521,f48393])).
% 223.14/28.40  fof(f49523,plain,(
% 223.14/28.40    $false|spl0_20),
% 223.14/28.40    inference(forward_subsumption_resolution,[status(thm)],[f49522,f30])).
% 223.14/28.40  fof(f49524,plain,(
% 223.14/28.40    spl0_20),
% 223.14/28.40    inference(contradiction_clause,[status(thm)],[f49523])).
% 223.14/28.40  fof(f53615,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_minus(c_UNIV,c_union(c_uminus(c_inter(X0,X1,X2),tc_set(X2)),X1,X2),tc_set(X2)))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f47552,f45484])).
% 223.14/28.40  fof(f53616,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_inter(c_UNIV,c_minus(c_inter(X0,X1,X2),X1,tc_set(X2)),X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f30527,f53615])).
% 223.14/28.40  fof(f53617,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_minus(c_inter(X0,X1,X2),X1,tc_set(X2)))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f41,f53616])).
% 223.14/28.40  fof(f53692,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_inter(c_inter(X0,c_uminus(X1,tc_set(X2)),X2),X1,X2))),
% 223.14/28.40    inference(paramodulation,[status(thm)],[f40,f53617])).
% 223.14/28.40  fof(f53693,plain,(
% 223.14/28.40    ![X0,X1,X2]: (c_emptyset=c_inter(c_minus(X0,X1,tc_set(X2)),X1,X2))),
% 223.14/28.40    inference(forward_demodulation,[status(thm)],[f27707,f53692])).
% 223.14/28.40  fof(f53780,plain,(
% 223.14/28.40    spl0_63 <=> ~c_in(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2))|~c_in(X1,c_Mutil_Otiling(X3,X2),tc_set(X2))|c_in(c_union(X0,X1,X2),c_Mutil_Otiling(X3,X2),tc_set(X2))),
% 223.14/28.40    introduced(split_symbol_definition)).
% 223.14/28.40  fof(f53781,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (~c_in(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2))|~c_in(X1,c_Mutil_Otiling(X3,X2),tc_set(X2))|c_in(c_union(X0,X1,X2),c_Mutil_Otiling(X3,X2),tc_set(X2))|~spl0_63)),
% 223.14/28.40    inference(component_clause,[status(thm)],[f53780])).
% 223.14/28.40  fof(f53783,plain,(
% 223.14/28.40    ![X0,X1,X2,X3]: (~c_in(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2))|~c_in(X1,c_Mutil_Otiling(X3,X2),tc_set(X2))|~c_emptyset=c_emptyset|c_in(c_union(X0,X1,X2),c_Mutil_Otiling(X3,X2),tc_set(X2)))),
% 224.33/28.54    inference(backward_demodulation,[status(thm)],[f53693,f26490])).
% 224.33/28.54  fof(f53784,plain,(
% 224.33/28.54    spl0_63|~spl0_19),
% 224.33/28.54    inference(split_clause,[status(thm)],[f53783,f53780,f30546])).
% 224.33/28.54  fof(f53785,plain,(
% 224.33/28.54    ![X0]: (~c_lessequals(c_emptyset,c_emptyset,tc_set(X0))|spl0_23)),
% 224.33/28.54    inference(backward_demodulation,[status(thm)],[f53693,f48325])).
% 224.33/28.54  fof(f53786,plain,(
% 224.33/28.54    $false|spl0_23),
% 224.33/28.54    inference(forward_subsumption_resolution,[status(thm)],[f53785,f58])).
% 224.33/28.54  fof(f53787,plain,(
% 224.33/28.54    spl0_23),
% 224.33/28.54    inference(contradiction_clause,[status(thm)],[f53786])).
% 224.33/28.54  fof(f61361,plain,(
% 224.33/28.54    $false|spl0_3),
% 224.33/28.54    inference(forward_subsumption_resolution,[status(thm)],[f246,f30])).
% 224.33/28.54  fof(f61362,plain,(
% 224.33/28.54    spl0_3),
% 224.33/28.54    inference(contradiction_clause,[status(thm)],[f61361])).
% 224.33/28.54  fof(f61548,plain,(
% 224.33/28.54    ~c_in(c_minus(v_a,c_union(v_t,v_u,t_a),tc_set(t_a)),v_A,tc_set(t_a))|~c_in(c_union(v_t,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a))|~spl0_63),
% 224.33/28.54    inference(resolution,[status(thm)],[f53781,f81])).
% 224.33/28.54  fof(f61549,plain,(
% 224.33/28.54    ~spl0_20|~spl0_0|~spl0_63),
% 224.33/28.54    inference(split_clause,[status(thm)],[f61548,f46751,f63,f53780])).
% 224.33/28.54  fof(f61608,plain,(
% 224.33/28.54    $false),
% 224.33/28.54    inference(sat_refutation,[status(thm)],[f72,f74,f30556,f47988,f49524,f53784,f53787,f61362,f61549])).
% 224.33/28.54  % SZS output end CNFRefutation for theBenchmark.p
% 227.26/29.81  % Elapsed time: 29.283800 seconds
% 227.26/29.81  % CPU time: 218.208164 seconds
% 227.26/29.81  % Total memory used: 2.065 GB
% 227.26/29.81  % Net memory used: 2.012 GB
%------------------------------------------------------------------------------