TSTP Solution File: SET831-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET831-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:40:28 EDT 2024
% Result : Unsatisfiable 2.88s 0.80s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET831-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:44:17 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 2.88/0.80 % Refutation found
% 2.88/0.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.88/0.80 % SZS output start CNFRefutation for theBenchmark
% 2.88/0.80 fof(f1,negated_conjecture,(
% 2.88/0.80 ( v_X = c_inter(v_Y,v_Z,t_a)| c_lessequals(v_X,v_Y,tc_set(t_a)) ) ),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f2,negated_conjecture,(
% 2.88/0.80 ( v_X = c_inter(v_Y,v_Z,t_a)| c_lessequals(v_X,v_Z,tc_set(t_a)) ) ),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f3,negated_conjecture,(
% 2.88/0.80 ( 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) ) ),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f4,negated_conjecture,(
% 2.88/0.80 ( 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) ) ),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f5,negated_conjecture,(
% 2.88/0.80 ( ~ 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) ) ),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f6,negated_conjecture,(
% 2.88/0.80 (![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)) ) ))),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f7,axiom,(
% 2.88/0.80 (![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) ) ))),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f8,axiom,(
% 2.88/0.80 (![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) ) ))),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f9,axiom,(
% 2.88/0.80 (![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) ) ))),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f10,axiom,(
% 2.88/0.80 (![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) ) ))),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f11,axiom,(
% 2.88/0.80 (![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)) ) ))),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f12,axiom,(
% 2.88/0.80 (![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)) ) ))),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f13,axiom,(
% 2.88/0.80 (![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 ) ))),
% 2.88/0.80 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.88/0.80 fof(f14,plain,(
% 2.88/0.80 v_X=c_inter(v_Y,v_Z,t_a)|c_lessequals(v_X,v_Y,tc_set(t_a))),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f1])).
% 2.88/0.80 fof(f15,plain,(
% 2.88/0.80 v_X=c_inter(v_Y,v_Z,t_a)|c_lessequals(v_X,v_Z,tc_set(t_a))),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f2])).
% 2.88/0.80 fof(f16,plain,(
% 2.88/0.80 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)),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f3])).
% 2.88/0.80 fof(f17,plain,(
% 2.88/0.80 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)),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f4])).
% 2.88/0.80 fof(f18,plain,(
% 2.88/0.80 ~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)),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f5])).
% 2.88/0.80 fof(f19,plain,(
% 2.88/0.80 ![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)))),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f6])).
% 2.88/0.80 fof(f20,plain,(
% 2.88/0.80 ![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))),
% 2.88/0.80 inference(miniscoping,[status(esa)],[f7])).
% 2.88/0.80 fof(f21,plain,(
% 2.88/0.80 ![X0,X1,X2,X3]: (~c_in(X0,c_inter(X1,X2,X3),X3)|c_in(X0,X2,X3))),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f20])).
% 2.88/0.80 fof(f22,plain,(
% 2.88/0.80 ![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))),
% 2.88/0.80 inference(miniscoping,[status(esa)],[f8])).
% 2.88/0.80 fof(f23,plain,(
% 2.88/0.80 ![X0,X1,X2,X3]: (~c_in(X0,c_inter(X1,X2,X3),X3)|c_in(X0,X1,X3))),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f22])).
% 2.88/0.80 fof(f24,plain,(
% 2.88/0.80 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_in(X0,X3,X2)|c_in(X0,c_inter(X3,X1,X2),X2))),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f9])).
% 2.88/0.80 fof(f25,plain,(
% 2.88/0.80 ![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))),
% 2.88/0.80 inference(miniscoping,[status(esa)],[f10])).
% 2.88/0.80 fof(f26,plain,(
% 2.88/0.80 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f25])).
% 2.88/0.80 fof(f27,plain,(
% 2.88/0.80 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f11])).
% 2.88/0.80 fof(f28,plain,(
% 2.88/0.80 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f12])).
% 2.88/0.80 fof(f29,plain,(
% 2.88/0.80 ![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)),
% 2.88/0.80 inference(miniscoping,[status(esa)],[f13])).
% 2.88/0.80 fof(f30,plain,(
% 2.88/0.80 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 2.88/0.80 inference(cnf_transformation,[status(esa)],[f29])).
% 2.88/0.80 fof(f31,plain,(
% 2.88/0.80 spl0_0 <=> v_X=c_inter(v_Y,v_Z,t_a)),
% 2.88/0.80 introduced(split_symbol_definition)).
% 2.88/0.80 fof(f32,plain,(
% 2.88/0.80 v_X=c_inter(v_Y,v_Z,t_a)|~spl0_0),
% 2.88/0.80 inference(component_clause,[status(thm)],[f31])).
% 2.88/0.80 fof(f34,plain,(
% 2.88/0.80 spl0_1 <=> c_lessequals(v_X,v_Y,tc_set(t_a))),
% 2.88/0.80 introduced(split_symbol_definition)).
% 2.88/0.80 fof(f35,plain,(
% 2.88/0.80 c_lessequals(v_X,v_Y,tc_set(t_a))|~spl0_1),
% 2.88/0.80 inference(component_clause,[status(thm)],[f34])).
% 2.88/0.80 fof(f37,plain,(
% 2.88/0.80 spl0_0|spl0_1),
% 2.88/0.80 inference(split_clause,[status(thm)],[f14,f31,f34])).
% 2.88/0.80 fof(f38,plain,(
% 2.88/0.80 spl0_2 <=> c_lessequals(v_X,v_Z,tc_set(t_a))),
% 2.88/0.80 introduced(split_symbol_definition)).
% 2.88/0.80 fof(f39,plain,(
% 2.88/0.80 c_lessequals(v_X,v_Z,tc_set(t_a))|~spl0_2),
% 2.88/0.80 inference(component_clause,[status(thm)],[f38])).
% 2.88/0.80 fof(f41,plain,(
% 2.88/0.80 spl0_0|spl0_2),
% 2.88/0.80 inference(split_clause,[status(thm)],[f15,f31,f38])).
% 2.88/0.80 fof(f42,plain,(
% 2.88/0.80 spl0_3 <=> c_lessequals(v_x,v_Y,tc_set(t_a))),
% 2.88/0.80 introduced(split_symbol_definition)).
% 2.88/0.80 fof(f43,plain,(
% 2.88/0.80 c_lessequals(v_x,v_Y,tc_set(t_a))|~spl0_3),
% 2.88/0.80 inference(component_clause,[status(thm)],[f42])).
% 2.88/0.80 fof(f45,plain,(
% 2.88/0.80 spl0_3|~spl0_2|~spl0_1|~spl0_0),
% 2.88/0.80 inference(split_clause,[status(thm)],[f16,f42,f38,f34,f31])).
% 2.88/0.80 fof(f46,plain,(
% 2.88/0.80 spl0_4 <=> c_lessequals(v_x,v_Z,tc_set(t_a))),
% 2.88/0.80 introduced(split_symbol_definition)).
% 2.88/0.80 fof(f47,plain,(
% 2.88/0.80 c_lessequals(v_x,v_Z,tc_set(t_a))|~spl0_4),
% 2.88/0.80 inference(component_clause,[status(thm)],[f46])).
% 2.88/0.80 fof(f49,plain,(
% 2.88/0.80 spl0_4|~spl0_2|~spl0_1|~spl0_0),
% 2.88/0.80 inference(split_clause,[status(thm)],[f17,f46,f38,f34,f31])).
% 2.88/0.80 fof(f50,plain,(
% 2.88/0.80 spl0_5 <=> c_lessequals(v_x,v_X,tc_set(t_a))),
% 2.88/0.80 introduced(split_symbol_definition)).
% 2.88/0.80 fof(f53,plain,(
% 2.88/0.80 ~spl0_5|~spl0_2|~spl0_1|~spl0_0),
% 2.88/0.80 inference(split_clause,[status(thm)],[f18,f50,f38,f34,f31])).
% 2.88/0.80 fof(f54,plain,(
% 2.88/0.80 spl0_6 <=> 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))),
% 2.88/0.80 introduced(split_symbol_definition)).
% 2.88/0.80 fof(f55,plain,(
% 2.88/0.80 ![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))|~spl0_6)),
% 2.88/0.80 inference(component_clause,[status(thm)],[f54])).
% 2.88/0.80 fof(f57,plain,(
% 2.88/0.80 spl0_0|spl0_6),
% 2.88/0.80 inference(split_clause,[status(thm)],[f19,f31,f54])).
% 2.88/0.80 fof(f111,plain,(
% 2.88/0.80 ![X0]: (~c_in(X0,v_X,t_a)|c_in(X0,v_Z,t_a)|~spl0_0)),
% 2.88/0.80 inference(paramodulation,[status(thm)],[f32,f21])).
% 2.88/0.80 fof(f112,plain,(
% 2.88/0.80 ![X0]: (~c_in(X0,v_X,t_a)|c_in(X0,v_Y,t_a)|~spl0_0)),
% 2.88/0.80 inference(paramodulation,[status(thm)],[f32,f23])).
% 2.88/0.80 fof(f113,plain,(
% 2.88/0.80 ![X0]: (~c_in(X0,v_Z,t_a)|~c_in(X0,v_Y,t_a)|c_in(X0,v_X,t_a)|~spl0_0)),
% 2.88/0.80 inference(paramodulation,[status(thm)],[f32,f24])).
% 2.88/0.80 fof(f115,plain,(
% 2.88/0.80 ![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)|~spl0_0)),
% 2.88/0.80 inference(resolution,[status(thm)],[f27,f112])).
% 3.54/0.81 fof(f116,plain,(
% 3.54/0.81 ![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)|~spl0_0)),
% 3.54/0.81 inference(resolution,[status(thm)],[f27,f111])).
% 3.54/0.81 fof(f117,plain,(
% 3.54/0.81 ![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))),
% 3.54/0.81 inference(resolution,[status(thm)],[f27,f23])).
% 3.54/0.81 fof(f118,plain,(
% 3.54/0.81 ![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))),
% 3.54/0.81 inference(resolution,[status(thm)],[f27,f21])).
% 3.54/0.81 fof(f120,plain,(
% 3.54/0.81 ![X0,X1]: (c_lessequals(c_inter(v_Z,X0,t_a),X1,tc_set(t_a))|~c_in(c_Main_OsubsetI__1(c_inter(v_Z,X0,t_a),X1,t_a),v_Y,t_a)|c_in(c_Main_OsubsetI__1(c_inter(v_Z,X0,t_a),X1,t_a),v_X,t_a)|~spl0_0)),
% 3.54/0.81 inference(resolution,[status(thm)],[f117,f113])).
% 3.54/0.81 fof(f128,plain,(
% 3.54/0.81 ![X0]: (c_lessequals(c_inter(v_Z,v_Y,t_a),X0,tc_set(t_a))|c_lessequals(c_inter(v_Z,v_Y,t_a),X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),X0,t_a),v_X,t_a)|~spl0_0)),
% 3.54/0.81 inference(resolution,[status(thm)],[f118,f120])).
% 3.54/0.81 fof(f129,plain,(
% 3.54/0.81 ![X0]: (c_lessequals(c_inter(v_Z,v_Y,t_a),X0,tc_set(t_a))|c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),X0,t_a),v_X,t_a)|~spl0_0)),
% 3.54/0.81 inference(duplicate_literals_removal,[status(esa)],[f128])).
% 3.54/0.81 fof(f684,plain,(
% 3.54/0.81 spl0_15 <=> c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a))),
% 3.54/0.81 introduced(split_symbol_definition)).
% 3.54/0.81 fof(f685,plain,(
% 3.54/0.81 c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a))|~spl0_15),
% 3.54/0.81 inference(component_clause,[status(thm)],[f684])).
% 3.54/0.81 fof(f687,plain,(
% 3.54/0.81 c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a))|c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a))|~spl0_0),
% 3.54/0.81 inference(resolution,[status(thm)],[f28,f129])).
% 3.54/0.81 fof(f688,plain,(
% 3.54/0.81 spl0_15|~spl0_0),
% 3.54/0.81 inference(split_clause,[status(thm)],[f687,f684,f31])).
% 3.54/0.81 fof(f717,plain,(
% 3.54/0.81 ![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)))),
% 3.54/0.81 inference(resolution,[status(thm)],[f28,f118])).
% 3.54/0.81 fof(f718,plain,(
% 3.54/0.81 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)))),
% 3.54/0.81 inference(duplicate_literals_removal,[status(esa)],[f717])).
% 3.54/0.81 fof(f719,plain,(
% 3.54/0.81 ![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)))),
% 3.54/0.81 inference(resolution,[status(thm)],[f28,f117])).
% 3.54/0.81 fof(f720,plain,(
% 3.54/0.81 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)))),
% 3.54/0.81 inference(duplicate_literals_removal,[status(esa)],[f719])).
% 3.54/0.81 fof(f721,plain,(
% 3.54/0.81 c_lessequals(v_X,v_Z,tc_set(t_a))|c_lessequals(v_X,v_Z,tc_set(t_a))|~spl0_0),
% 3.54/0.81 inference(resolution,[status(thm)],[f28,f116])).
% 3.54/0.81 fof(f722,plain,(
% 3.54/0.81 spl0_2|~spl0_0),
% 3.54/0.81 inference(split_clause,[status(thm)],[f721,f38,f31])).
% 3.54/0.81 fof(f723,plain,(
% 3.54/0.81 c_lessequals(v_X,v_Y,tc_set(t_a))|c_lessequals(v_X,v_Y,tc_set(t_a))|~spl0_0),
% 3.54/0.81 inference(resolution,[status(thm)],[f28,f115])).
% 3.54/0.81 fof(f724,plain,(
% 3.54/0.81 spl0_1|~spl0_0),
% 3.54/0.81 inference(split_clause,[status(thm)],[f723,f34,f31])).
% 3.54/0.81 fof(f727,plain,(
% 3.54/0.81 ![X0,X1,X2,X3]: (c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X2,X3),X3),X2,X3)|~c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X2,X3),X3),X1,X3))),
% 3.54/0.81 inference(resolution,[status(thm)],[f28,f24])).
% 3.54/0.81 fof(f830,plain,(
% 3.54/0.81 spl0_21 <=> c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))),
% 3.54/0.81 introduced(split_symbol_definition)).
% 3.54/0.81 fof(f832,plain,(
% 3.54/0.81 ~c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))|spl0_21),
% 3.54/0.81 inference(component_clause,[status(thm)],[f830])).
% 3.54/0.81 fof(f833,plain,(
% 3.54/0.81 spl0_22 <=> c_inter(v_Z,v_Y,t_a)=v_X),
% 3.54/0.81 introduced(split_symbol_definition)).
% 3.54/0.81 fof(f834,plain,(
% 3.54/0.81 c_inter(v_Z,v_Y,t_a)=v_X|~spl0_22),
% 3.54/0.81 inference(component_clause,[status(thm)],[f833])).
% 3.54/0.81 fof(f836,plain,(
% 3.54/0.81 ~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|~spl0_15),
% 3.54/0.81 inference(resolution,[status(thm)],[f685,f30])).
% 3.54/0.81 fof(f837,plain,(
% 3.54/0.81 ~spl0_21|spl0_22|~spl0_15),
% 3.54/0.81 inference(split_clause,[status(thm)],[f836,f830,f833,f684])).
% 3.54/0.81 fof(f845,plain,(
% 3.54/0.81 ![X0]: (~c_in(X0,v_x,t_a)|c_in(X0,v_Y,t_a)|~spl0_3)),
% 3.54/0.81 inference(resolution,[status(thm)],[f26,f43])).
% 3.54/0.81 fof(f846,plain,(
% 3.54/0.81 ![X0]: (~c_in(X0,v_x,t_a)|c_in(X0,v_Z,t_a)|~spl0_4)),
% 3.54/0.81 inference(resolution,[status(thm)],[f26,f47])).
% 3.54/0.81 fof(f864,plain,(
% 3.54/0.81 ![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))|~spl0_3)),
% 3.54/0.81 inference(resolution,[status(thm)],[f845,f27])).
% 3.54/0.81 fof(f882,plain,(
% 3.54/0.81 ![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))|~spl0_4)),
% 3.54/0.81 inference(resolution,[status(thm)],[f846,f27])).
% 3.54/0.81 fof(f940,plain,(
% 3.54/0.81 ![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)|c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_X,t_a)|~spl0_4|~spl0_0)),
% 3.54/0.81 inference(resolution,[status(thm)],[f882,f113])).
% 3.54/0.81 fof(f941,plain,(
% 3.54/0.81 ![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)|~spl0_3|~spl0_4|~spl0_0)),
% 3.54/0.81 inference(forward_subsumption_resolution,[status(thm)],[f940,f864])).
% 3.54/0.81 fof(f942,plain,(
% 3.54/0.81 c_lessequals(v_x,v_X,tc_set(t_a))|c_lessequals(v_x,v_X,tc_set(t_a))|~spl0_3|~spl0_4|~spl0_0),
% 3.54/0.81 inference(resolution,[status(thm)],[f941,f28])).
% 3.54/0.81 fof(f943,plain,(
% 3.54/0.81 spl0_5|~spl0_3|~spl0_4|~spl0_0),
% 3.54/0.81 inference(split_clause,[status(thm)],[f942,f50,f42,f46,f31])).
% 3.54/0.81 fof(f946,plain,(
% 3.54/0.81 ![X0]: (~c_in(X0,v_X,t_a)|c_in(X0,v_Z,t_a)|~spl0_2)),
% 3.54/0.81 inference(resolution,[status(thm)],[f26,f39])).
% 3.54/0.81 fof(f947,plain,(
% 3.54/0.81 ![X0]: (~c_in(X0,v_X,t_a)|c_in(X0,v_Y,t_a)|~spl0_1)),
% 3.54/0.81 inference(resolution,[status(thm)],[f26,f35])).
% 3.54/0.81 fof(f966,plain,(
% 3.54/0.81 ![X0,X1]: (c_in(c_Main_OsubsetI__1(c_inter(X0,v_X,t_a),X1,t_a),v_Z,t_a)|c_lessequals(c_inter(X0,v_X,t_a),X1,tc_set(t_a))|~spl0_2)),
% 3.54/0.81 inference(resolution,[status(thm)],[f946,f118])).
% 3.54/0.81 fof(f968,plain,(
% 3.54/0.81 ![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))|~spl0_2)),
% 3.54/0.81 inference(resolution,[status(thm)],[f946,f27])).
% 3.54/0.81 fof(f984,plain,(
% 3.54/0.81 ![X0,X1]: (c_in(c_Main_OsubsetI__1(c_inter(X0,v_X,t_a),X1,t_a),v_Y,t_a)|c_lessequals(c_inter(X0,v_X,t_a),X1,tc_set(t_a))|~spl0_1)),
% 3.54/0.81 inference(resolution,[status(thm)],[f947,f118])).
% 3.54/0.81 fof(f986,plain,(
% 3.54/0.81 ![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))|~spl0_1)),
% 3.54/0.81 inference(resolution,[status(thm)],[f947,f27])).
% 3.54/0.81 fof(f992,plain,(
% 3.54/0.81 ![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))|~spl0_6)),
% 3.54/0.81 inference(resolution,[status(thm)],[f55,f718])).
% 3.54/0.81 fof(f1034,plain,(
% 3.54/0.81 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X0,X2),tc_set(X2))|~c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),c_inter(X3,X0,X2),X2),X3,X2)|c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X0,X2),tc_set(X2)))),
% 3.54/0.81 inference(resolution,[status(thm)],[f727,f117])).
% 3.54/0.81 fof(f1035,plain,(
% 3.54/0.81 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X0,X2),tc_set(X2))|~c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),c_inter(X3,X0,X2),X2),X3,X2))),
% 3.54/0.81 inference(duplicate_literals_removal,[status(esa)],[f1034])).
% 3.54/0.81 fof(f1036,plain,(
% 3.54/0.81 ![X0,X1,X2]: (c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2))|~c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X0,X2),X2),X1,X2)|c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2)))),
% 3.54/0.81 inference(resolution,[status(thm)],[f727,f27])).
% 3.54/0.81 fof(f1037,plain,(
% 3.54/0.81 ![X0,X1,X2]: (c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2))|~c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X0,X2),X2),X1,X2))),
% 3.54/0.81 inference(duplicate_literals_removal,[status(esa)],[f1036])).
% 3.54/0.81 fof(f1122,plain,(
% 3.54/0.81 ![X0]: (c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Y,X0,t_a),tc_set(t_a))|c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Y,X0,t_a),tc_set(t_a))|~spl0_1)),
% 3.54/0.81 inference(resolution,[status(thm)],[f1035,f984])).
% 3.54/0.81 fof(f1123,plain,(
% 3.54/0.81 ![X0]: (c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Y,X0,t_a),tc_set(t_a))|~spl0_1)),
% 3.54/0.81 inference(duplicate_literals_removal,[status(esa)],[f1122])).
% 3.54/0.81 fof(f1124,plain,(
% 3.54/0.81 ![X0]: (c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Z,X0,t_a),tc_set(t_a))|c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Z,X0,t_a),tc_set(t_a))|~spl0_2)),
% 3.54/0.81 inference(resolution,[status(thm)],[f1035,f966])).
% 3.54/0.81 fof(f1125,plain,(
% 3.54/0.81 ![X0]: (c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Z,X0,t_a),tc_set(t_a))|~spl0_2)),
% 3.54/0.81 inference(duplicate_literals_removal,[status(esa)],[f1124])).
% 3.54/0.81 fof(f1145,plain,(
% 3.54/0.81 spl0_23 <=> c_lessequals(v_X,c_inter(v_Y,v_X,t_a),tc_set(t_a))),
% 3.54/0.81 introduced(split_symbol_definition)).
% 3.54/0.81 fof(f1146,plain,(
% 3.54/0.81 c_lessequals(v_X,c_inter(v_Y,v_X,t_a),tc_set(t_a))|~spl0_23),
% 3.54/0.81 inference(component_clause,[status(thm)],[f1145])).
% 3.54/0.81 fof(f1148,plain,(
% 3.54/0.81 c_lessequals(v_X,c_inter(v_Y,v_X,t_a),tc_set(t_a))|c_lessequals(v_X,c_inter(v_Y,v_X,t_a),tc_set(t_a))|~spl0_1),
% 3.54/0.81 inference(resolution,[status(thm)],[f1037,f986])).
% 3.54/0.81 fof(f1149,plain,(
% 3.54/0.81 spl0_23|~spl0_1),
% 3.54/0.81 inference(split_clause,[status(thm)],[f1148,f1145,f34])).
% 3.54/0.81 fof(f1150,plain,(
% 3.54/0.81 spl0_24 <=> c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))),
% 3.54/0.81 introduced(split_symbol_definition)).
% 3.54/0.81 fof(f1151,plain,(
% 3.54/0.81 c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))|~spl0_24),
% 3.54/0.81 inference(component_clause,[status(thm)],[f1150])).
% 3.54/0.81 fof(f1153,plain,(
% 3.54/0.81 c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))|c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))|~spl0_2),
% 3.54/0.81 inference(resolution,[status(thm)],[f1037,f968])).
% 3.54/0.81 fof(f1154,plain,(
% 3.54/0.81 spl0_24|~spl0_2),
% 3.54/0.81 inference(split_clause,[status(thm)],[f1153,f1150,f38])).
% 3.54/0.82 fof(f1380,plain,(
% 3.54/0.82 spl0_25 <=> c_lessequals(c_inter(v_Z,v_X,t_a),v_X,tc_set(t_a))),
% 3.54/0.82 introduced(split_symbol_definition)).
% 3.54/0.82 fof(f1382,plain,(
% 3.54/0.82 ~c_lessequals(c_inter(v_Z,v_X,t_a),v_X,tc_set(t_a))|spl0_25),
% 3.54/0.82 inference(component_clause,[status(thm)],[f1380])).
% 3.54/0.82 fof(f1383,plain,(
% 3.54/0.82 spl0_26 <=> v_X=c_inter(v_Z,v_X,t_a)),
% 3.54/0.82 introduced(split_symbol_definition)).
% 3.54/0.82 fof(f1384,plain,(
% 3.54/0.82 v_X=c_inter(v_Z,v_X,t_a)|~spl0_26),
% 3.54/0.82 inference(component_clause,[status(thm)],[f1383])).
% 3.54/0.82 fof(f1386,plain,(
% 3.54/0.82 ~c_lessequals(c_inter(v_Z,v_X,t_a),v_X,tc_set(t_a))|v_X=c_inter(v_Z,v_X,t_a)|~spl0_24),
% 3.54/0.82 inference(resolution,[status(thm)],[f1151,f30])).
% 3.54/0.82 fof(f1387,plain,(
% 3.54/0.82 ~spl0_25|spl0_26|~spl0_24),
% 3.54/0.82 inference(split_clause,[status(thm)],[f1386,f1380,f1383,f1150])).
% 3.54/0.82 fof(f1388,plain,(
% 3.54/0.82 $false|spl0_25),
% 3.54/0.82 inference(forward_subsumption_resolution,[status(thm)],[f1382,f718])).
% 3.54/0.82 fof(f1389,plain,(
% 3.54/0.82 spl0_25),
% 3.54/0.82 inference(contradiction_clause,[status(thm)],[f1388])).
% 3.54/0.82 fof(f1409,plain,(
% 3.54/0.82 spl0_27 <=> c_in(c_Main_OsubsetI__1(v_X,v_X,t_a),v_Z,t_a)),
% 3.54/0.82 introduced(split_symbol_definition)).
% 3.54/0.82 fof(f1412,plain,(
% 3.54/0.82 c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(v_X,v_X,t_a),v_Z,t_a)|~spl0_26),
% 3.54/0.82 inference(paramodulation,[status(thm)],[f1384,f1037])).
% 3.54/0.82 fof(f1413,plain,(
% 3.54/0.82 spl0_24|~spl0_27|~spl0_26),
% 3.54/0.82 inference(split_clause,[status(thm)],[f1412,f1150,f1409,f1383])).
% 3.54/0.82 fof(f1457,plain,(
% 3.54/0.82 spl0_28 <=> c_lessequals(c_inter(v_Y,v_X,t_a),v_X,tc_set(t_a))),
% 3.54/0.82 introduced(split_symbol_definition)).
% 3.54/0.82 fof(f1459,plain,(
% 3.54/0.82 ~c_lessequals(c_inter(v_Y,v_X,t_a),v_X,tc_set(t_a))|spl0_28),
% 3.54/0.82 inference(component_clause,[status(thm)],[f1457])).
% 3.54/0.82 fof(f1460,plain,(
% 3.54/0.82 spl0_29 <=> v_X=c_inter(v_Y,v_X,t_a)),
% 3.54/0.82 introduced(split_symbol_definition)).
% 3.54/0.82 fof(f1461,plain,(
% 3.54/0.82 v_X=c_inter(v_Y,v_X,t_a)|~spl0_29),
% 3.54/0.82 inference(component_clause,[status(thm)],[f1460])).
% 3.54/0.82 fof(f1463,plain,(
% 3.54/0.82 ~c_lessequals(c_inter(v_Y,v_X,t_a),v_X,tc_set(t_a))|v_X=c_inter(v_Y,v_X,t_a)|~spl0_23),
% 3.54/0.82 inference(resolution,[status(thm)],[f1146,f30])).
% 3.54/0.82 fof(f1464,plain,(
% 3.54/0.82 ~spl0_28|spl0_29|~spl0_23),
% 3.54/0.82 inference(split_clause,[status(thm)],[f1463,f1457,f1460,f1145])).
% 3.54/0.82 fof(f1465,plain,(
% 3.54/0.82 $false|spl0_28),
% 3.54/0.82 inference(forward_subsumption_resolution,[status(thm)],[f1459,f718])).
% 3.54/0.82 fof(f1466,plain,(
% 3.54/0.82 spl0_28),
% 3.54/0.82 inference(contradiction_clause,[status(thm)],[f1465])).
% 3.54/0.82 fof(f1484,plain,(
% 3.54/0.82 spl0_30 <=> c_in(c_Main_OsubsetI__1(v_X,v_X,t_a),v_Y,t_a)),
% 3.54/0.82 introduced(split_symbol_definition)).
% 3.54/0.82 fof(f1487,plain,(
% 3.54/0.82 c_lessequals(v_X,c_inter(v_Y,v_X,t_a),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(v_X,v_X,t_a),v_Y,t_a)|~spl0_29),
% 3.54/0.82 inference(paramodulation,[status(thm)],[f1461,f1037])).
% 3.54/0.82 fof(f1488,plain,(
% 3.54/0.82 spl0_23|~spl0_30|~spl0_29),
% 3.54/0.82 inference(split_clause,[status(thm)],[f1487,f1145,f1484,f1460])).
% 3.54/0.82 fof(f1541,plain,(
% 3.54/0.82 c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))|~spl0_1|~spl0_26),
% 3.54/0.82 inference(paramodulation,[status(thm)],[f1384,f1123])).
% 3.54/0.82 fof(f1553,plain,(
% 3.54/0.82 spl0_33 <=> c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))),
% 3.54/0.82 introduced(split_symbol_definition)).
% 3.54/0.82 fof(f1555,plain,(
% 3.54/0.82 ~c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))|spl0_33),
% 3.54/0.82 inference(component_clause,[status(thm)],[f1553])).
% 3.54/0.82 fof(f1556,plain,(
% 3.54/0.82 ~c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))|v_X=c_inter(v_Y,v_Z,t_a)|~spl0_1|~spl0_26),
% 3.54/0.82 inference(resolution,[status(thm)],[f1541,f30])).
% 3.54/0.82 fof(f1557,plain,(
% 3.54/0.82 ~spl0_33|spl0_0|~spl0_1|~spl0_26),
% 3.54/0.82 inference(split_clause,[status(thm)],[f1556,f1553,f31,f34,f1383])).
% 3.54/0.82 fof(f1600,plain,(
% 3.54/0.82 c_lessequals(v_X,c_inter(v_Z,v_Y,t_a),tc_set(t_a))|~spl0_2|~spl0_29),
% 3.54/0.82 inference(paramodulation,[status(thm)],[f1461,f1125])).
% 3.54/0.82 fof(f1601,plain,(
% 3.54/0.82 $false|spl0_21|~spl0_2|~spl0_29),
% 3.54/0.82 inference(forward_subsumption_resolution,[status(thm)],[f1600,f832])).
% 3.54/0.82 fof(f1602,plain,(
% 3.54/0.82 spl0_21|~spl0_2|~spl0_29),
% 3.54/0.82 inference(contradiction_clause,[status(thm)],[f1601])).
% 3.54/0.82 fof(f1619,plain,(
% 3.54/0.82 spl0_34 <=> c_lessequals(v_Y,c_inter(v_Z,v_Y,t_a),tc_set(t_a))),
% 3.54/0.82 introduced(split_symbol_definition)).
% 3.54/0.82 fof(f1622,plain,(
% 3.54/0.82 spl0_35 <=> c_in(c_Main_OsubsetI__1(v_Y,v_X,t_a),v_Z,t_a)),
% 3.54/0.82 introduced(split_symbol_definition)).
% 3.54/0.82 fof(f1625,plain,(
% 3.54/0.82 c_lessequals(v_Y,c_inter(v_Z,v_Y,t_a),tc_set(t_a))|~c_in(c_Main_OsubsetI__1(v_Y,v_X,t_a),v_Z,t_a)|~spl0_22),
% 3.54/0.82 inference(paramodulation,[status(thm)],[f834,f1037])).
% 3.54/0.82 fof(f1626,plain,(
% 3.54/0.82 spl0_34|~spl0_35|~spl0_22),
% 3.54/0.82 inference(split_clause,[status(thm)],[f1625,f1619,f1622,f833])).
% 3.54/0.82 fof(f1914,plain,(
% 3.54/0.82 c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))|~spl0_6),
% 3.54/0.82 inference(resolution,[status(thm)],[f992,f720])).
% 3.54/0.82 fof(f1915,plain,(
% 3.54/0.82 $false|spl0_33|~spl0_6),
% 3.54/0.82 inference(forward_subsumption_resolution,[status(thm)],[f1914,f1555])).
% 3.54/0.82 fof(f1916,plain,(
% 3.54/0.82 spl0_33|~spl0_6),
% 3.54/0.82 inference(contradiction_clause,[status(thm)],[f1915])).
% 3.54/0.82 fof(f1917,plain,(
% 3.54/0.82 $false),
% 3.54/0.82 inference(sat_refutation,[status(thm)],[f37,f41,f45,f49,f53,f57,f688,f722,f724,f837,f943,f1149,f1154,f1387,f1389,f1413,f1464,f1466,f1488,f1557,f1602,f1626,f1916])).
% 3.54/0.82 % SZS output end CNFRefutation for theBenchmark.p
% 3.54/0.83 % Elapsed time: 0.473535 seconds
% 3.54/0.83 % CPU time: 3.609585 seconds
% 3.54/0.83 % Total memory used: 95.010 MB
% 3.54/0.83 % Net memory used: 93.347 MB
%------------------------------------------------------------------------------