TSTP Solution File: LAT274-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:17:14 EDT 2023
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LAT274-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n003.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 09:30:08 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32 fof(f1,axiom,(
% 0.15/0.32 (![V_S,V_A,V_a,V_L]: (( ~ c_lessequals(V_S,V_A,tc_set(t_a))| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)| c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)| V_S = c_emptyset ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f2,axiom,(
% 0.15/0.32 (![V_L,V_S,V_A,V_a]: (( ~ c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_lessequals(V_S,V_A,tc_set(t_a))| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)| V_S = c_emptyset ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f3,axiom,(
% 0.15/0.32 (![V_a,V_S,V_A,V_L]: (( ~ c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_lessequals(V_S,V_A,tc_set(t_a))| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)| V_S = c_emptyset ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f4,axiom,(
% 0.15/0.32 (![V_a,V_S,V_L,V_A]: (( ~ c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| ~ c_lessequals(V_S,V_A,tc_set(t_a))| c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| V_S = c_emptyset ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f5,axiom,(
% 0.15/0.32 (![V_x,V_S,T_a,V_r,V_a,V_b]: (( ~ c_in(V_x,V_S,T_a)| ~ c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))| c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f6,axiom,(
% 0.15/0.32 (![V_x,V_S,T_a,V_r,V_a,V_b]: (( ~ c_in(V_x,V_S,T_a)| ~ c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))| c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f7,axiom,(
% 0.15/0.32 (![V_x,V_b,T_a,V_r,V_a]: (( ~ c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))| c_in(V_x,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),T_a) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f8,axiom,(
% 0.15/0.32 (![V_S,V_L,V_y]: (( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)| ~ c_in(V_y,V_S,t_a)| c_in(c_Pair(V_y,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f9,axiom,(
% 0.15/0.32 (![V_S,V_L,V_z]: (( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)| ~ c_in(V_z,v_A,t_a)| c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(v_sko__4mi(V_S,v_r,V_z),V_S,t_a) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f10,axiom,(
% 0.15/0.32 (![V_S,V_L,V_z]: (( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)| ~ c_in(V_z,v_A,t_a)| ~ c_in(c_Pair(v_sko__4mi(V_S,v_r,V_z),V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ))),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f11,negated_conjecture,(
% 0.15/0.32 c_in(v_b,v_A,t_a) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f12,negated_conjecture,(
% 0.15/0.32 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f13,negated_conjecture,(
% 0.15/0.32 v_S != c_emptyset ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f14,negated_conjecture,(
% 0.15/0.32 c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f15,negated_conjecture,(
% 0.15/0.32 ~ c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a) ),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f16,plain,(
% 0.15/0.32 ![V_S]: ((![V_L]: ((![V_a]: (((![V_A]: ~c_lessequals(V_S,V_A,tc_set(t_a)))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)))|c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)))|c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)))|V_S=c_emptyset)),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f1])).
% 0.15/0.32 fof(f17,plain,(
% 0.15/0.32 ![X0,X1,X2,X3]: (~c_lessequals(X0,X1,tc_set(t_a))|c_in(c_Pair(X2,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(X0,X2,v_r),X0,t_a)|c_in(v_sko__4mk(X3,X0,v_r),X0,t_a)|X0=c_emptyset)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f16])).
% 0.15/0.32 fof(f18,plain,(
% 0.15/0.32 ![V_S]: ((![V_a]: ((![V_L]: ((~c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|(![V_A]: ~c_lessequals(V_S,V_A,tc_set(t_a))))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))))|c_in(v_sko__4mj(V_S,V_a,v_r),V_S,t_a)))|V_S=c_emptyset)),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f2])).
% 0.15/0.32 fof(f19,plain,(
% 0.15/0.32 ![X0,X1,X2,X3]: (~c_in(c_Pair(v_sko__4mk(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(X1,X2,tc_set(t_a))|c_in(c_Pair(X3,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(X1,X3,v_r),X1,t_a)|X1=c_emptyset)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f18])).
% 0.15/0.32 fof(f20,plain,(
% 0.15/0.32 ![V_S]: ((![V_L]: ((![V_a]: ((~c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|(![V_A]: ~c_lessequals(V_S,V_A,tc_set(t_a))))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))))|c_in(v_sko__4mk(V_L,V_S,v_r),V_S,t_a)))|V_S=c_emptyset)),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f3])).
% 0.15/0.32 fof(f21,plain,(
% 0.15/0.32 ![X0,X1,X2,X3]: (~c_in(c_Pair(X0,v_sko__4mj(X1,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(X1,X2,tc_set(t_a))|c_in(c_Pair(X0,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(X3,X1,v_r),X1,t_a)|X1=c_emptyset)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f20])).
% 0.15/0.32 fof(f22,plain,(
% 0.15/0.32 ![V_S]: ((![V_a,V_L]: (((~c_in(c_Pair(V_a,v_sko__4mj(V_S,V_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_sko__4mk(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)))|(![V_A]: ~c_lessequals(V_S,V_A,tc_set(t_a))))|c_in(c_Pair(V_a,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))))|V_S=c_emptyset)),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f4])).
% 0.15/0.32 fof(f23,plain,(
% 0.15/0.32 ![X0,X1,X2,X3]: (~c_in(c_Pair(X0,v_sko__4mj(X1,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_sko__4mk(X2,X1,v_r),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(X1,X3,tc_set(t_a))|c_in(c_Pair(X0,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))|X1=c_emptyset)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f22])).
% 0.15/0.32 fof(f24,plain,(
% 0.15/0.32 ![V_x,T_a,V_r,V_a]: ((![V_S]: (~c_in(V_x,V_S,T_a)|(![V_b]: ~c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a)))))|c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f5])).
% 0.15/0.32 fof(f25,plain,(
% 0.15/0.32 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))|c_in(c_Pair(X4,X0,X2,X2),X3,tc_prod(X2,X2)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.32 fof(f26,plain,(
% 0.15/0.32 ![V_x,T_a,V_r,V_b]: ((![V_S]: (~c_in(V_x,V_S,T_a)|(![V_a]: ~c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a)))))|c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f6])).
% 0.15/0.32 fof(f27,plain,(
% 0.15/0.32 ![X0,X1,X2,X3,X4,X5]: (~c_in(X0,X1,X2)|~c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))|c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f26])).
% 0.15/0.32 fof(f28,plain,(
% 0.15/0.32 ![X0,X1,X2,X3,X4]: (~c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))|~c_in(c_Pair(X4,X0,X2,X2),X3,tc_prod(X2,X2))|c_in(X0,c_Tarski_Ointerval(X3,X4,X1,X2),X2))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f29,plain,(
% 0.15/0.32 ![V_L,V_y]: ((![V_S]: (~c_Tarski_OisLub(V_S,v_cl,V_L,t_a)|~c_in(V_y,V_S,t_a)))|c_in(c_Pair(V_y,V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f8])).
% 0.15/0.32 fof(f30,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|~c_in(X2,X0,t_a)|c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f29])).
% 0.15/0.32 fof(f31,plain,(
% 0.15/0.32 ![V_S,V_z]: ((![V_L]: ((~c_Tarski_OisLub(V_S,v_cl,V_L,t_a)|~c_in(V_z,v_A,t_a))|c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))))|c_in(v_sko__4mi(V_S,v_r,V_z),V_S,t_a))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f9])).
% 0.15/0.32 fof(f32,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|~c_in(X2,v_A,t_a)|c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(X0,v_r,X2),X0,t_a))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.32 fof(f33,plain,(
% 0.15/0.32 ![V_L,V_z]: ((![V_S]: ((~c_Tarski_OisLub(V_S,v_cl,V_L,t_a)|~c_in(V_z,v_A,t_a))|~c_in(c_Pair(v_sko__4mi(V_S,v_r,V_z),V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))))|c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f10])).
% 0.15/0.32 fof(f34,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|~c_in(X2,v_A,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,X2),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f33])).
% 0.15/0.32 fof(f35,plain,(
% 0.15/0.32 c_in(v_b,v_A,t_a)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.32 fof(f36,plain,(
% 0.15/0.32 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f12])).
% 0.15/0.32 fof(f37,plain,(
% 0.15/0.32 ~v_S=c_emptyset),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f13])).
% 0.15/0.32 fof(f38,plain,(
% 0.15/0.32 c_Tarski_OisLub(v_S,v_cl,v_L,t_a)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f14])).
% 0.15/0.32 fof(f39,plain,(
% 0.15/0.32 ~c_in(v_L,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),t_a)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f15])).
% 0.15/0.32 fof(f40,plain,(
% 0.15/0.32 spl0_0 <=> c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f42,plain,(
% 0.15/0.32 ~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|spl0_0),
% 0.15/0.32 inference(component_clause,[status(thm)],[f40])).
% 0.15/0.32 fof(f43,plain,(
% 0.15/0.32 spl0_1 <=> c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f45,plain,(
% 0.15/0.32 ~c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|spl0_1),
% 0.15/0.32 inference(component_clause,[status(thm)],[f43])).
% 0.15/0.32 fof(f46,plain,(
% 0.15/0.32 ~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_a,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.15/0.32 inference(resolution,[status(thm)],[f28,f39])).
% 0.15/0.32 fof(f47,plain,(
% 0.15/0.32 ~spl0_0|~spl0_1),
% 0.15/0.32 inference(split_clause,[status(thm)],[f46,f40,f43])).
% 0.15/0.32 fof(f48,plain,(
% 0.15/0.32 ![X0,X1]: (~c_Tarski_OisLub(X0,v_cl,X1,t_a)|c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a))),
% 0.15/0.32 inference(resolution,[status(thm)],[f32,f35])).
% 0.15/0.32 fof(f49,plain,(
% 0.15/0.32 spl0_2 <=> c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f50,plain,(
% 0.15/0.32 c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)|~spl0_2),
% 0.15/0.32 inference(component_clause,[status(thm)],[f49])).
% 0.15/0.32 fof(f52,plain,(
% 0.15/0.32 c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)),
% 0.15/0.32 inference(resolution,[status(thm)],[f48,f38])).
% 0.15/0.32 fof(f53,plain,(
% 0.15/0.32 spl0_0|spl0_2),
% 0.15/0.32 inference(split_clause,[status(thm)],[f52,f40,f49])).
% 0.15/0.32 fof(f54,plain,(
% 0.15/0.32 spl0_3 <=> c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)|c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f55,plain,(
% 0.15/0.32 ![X0,X1]: (c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)|c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)|~spl0_3)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f54])).
% 0.15/0.32 fof(f57,plain,(
% 0.15/0.32 spl0_4 <=> v_S=c_emptyset),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f58,plain,(
% 0.15/0.32 v_S=c_emptyset|~spl0_4),
% 0.15/0.32 inference(component_clause,[status(thm)],[f57])).
% 0.15/0.32 fof(f60,plain,(
% 0.15/0.32 ![X0,X1]: (c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_S,X0,v_r),v_S,t_a)|c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)|v_S=c_emptyset)),
% 0.15/0.32 inference(resolution,[status(thm)],[f17,f36])).
% 0.15/0.32 fof(f61,plain,(
% 0.15/0.32 spl0_3|spl0_4),
% 0.15/0.32 inference(split_clause,[status(thm)],[f60,f54,f57])).
% 0.15/0.32 fof(f62,plain,(
% 0.15/0.32 spl0_5 <=> ~c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f63,plain,(
% 0.15/0.32 ![X0,X1]: (~c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a)|~spl0_5)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f62])).
% 0.15/0.32 fof(f65,plain,(
% 0.15/0.32 ![X0,X1]: (~c_in(c_Pair(v_sko__4mk(X0,v_S,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_S,X1,v_r),v_S,t_a)|v_S=c_emptyset)),
% 0.15/0.32 inference(resolution,[status(thm)],[f19,f36])).
% 0.15/0.32 fof(f66,plain,(
% 0.15/0.32 spl0_5|spl0_4),
% 0.15/0.32 inference(split_clause,[status(thm)],[f65,f62,f57])).
% 0.15/0.32 fof(f67,plain,(
% 0.15/0.32 $false|~spl0_4),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f58,f37])).
% 0.15/0.32 fof(f68,plain,(
% 0.15/0.32 ~spl0_4),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f67])).
% 0.15/0.32 fof(f69,plain,(
% 0.15/0.32 spl0_6 <=> ~c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f70,plain,(
% 0.15/0.32 ![X0,X1]: (~c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)|~spl0_6)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f69])).
% 0.15/0.32 fof(f72,plain,(
% 0.15/0.32 ![X0,X1]: (~c_in(c_Pair(X0,v_sko__4mj(v_S,X0,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(X1,v_S,v_r),v_S,t_a)|v_S=c_emptyset)),
% 0.15/0.32 inference(resolution,[status(thm)],[f21,f36])).
% 0.15/0.32 fof(f73,plain,(
% 0.15/0.32 spl0_6|spl0_4),
% 0.15/0.32 inference(split_clause,[status(thm)],[f72,f69,f57])).
% 0.15/0.32 fof(f74,plain,(
% 0.15/0.32 ![X0,X1]: (~c_in(c_Pair(v_a,v_sko__4mj(X0,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_sko__4mk(v_L,X0,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(X0,X1,tc_set(t_a))|X0=c_emptyset|spl0_1)),
% 0.15/0.32 inference(resolution,[status(thm)],[f45,f23])).
% 0.15/0.32 fof(f75,plain,(
% 0.15/0.32 spl0_7 <=> ~c_Tarski_OisLub(X0,v_cl,v_a,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,v_L),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f78,plain,(
% 0.15/0.32 spl0_8 <=> c_in(v_L,v_A,t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f81,plain,(
% 0.15/0.32 ![X0]: (~c_Tarski_OisLub(X0,v_cl,v_a,t_a)|~c_in(v_L,v_A,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,v_L),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|spl0_1)),
% 0.15/0.32 inference(resolution,[status(thm)],[f45,f34])).
% 0.15/0.32 fof(f82,plain,(
% 0.15/0.32 spl0_7|~spl0_8|spl0_1),
% 0.15/0.32 inference(split_clause,[status(thm)],[f81,f75,f78,f43])).
% 0.15/0.32 fof(f95,plain,(
% 0.15/0.32 spl0_11 <=> ~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f96,plain,(
% 0.15/0.32 ![X0]: (~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~spl0_11)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f95])).
% 0.15/0.32 fof(f98,plain,(
% 0.15/0.32 spl0_12 <=> c_in(v_b,v_A,t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f100,plain,(
% 0.15/0.32 ~c_in(v_b,v_A,t_a)|spl0_12),
% 0.15/0.32 inference(component_clause,[status(thm)],[f98])).
% 0.15/0.32 fof(f101,plain,(
% 0.15/0.32 ![X0]: (~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|~c_in(v_b,v_A,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|spl0_0)),
% 0.15/0.32 inference(resolution,[status(thm)],[f42,f34])).
% 0.15/0.32 fof(f102,plain,(
% 0.15/0.32 spl0_11|~spl0_12|spl0_0),
% 0.15/0.32 inference(split_clause,[status(thm)],[f101,f95,f98,f40])).
% 0.15/0.32 fof(f107,plain,(
% 0.15/0.32 spl0_13 <=> c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f108,plain,(
% 0.15/0.32 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)|~spl0_13),
% 0.15/0.32 inference(component_clause,[status(thm)],[f107])).
% 0.15/0.32 fof(f110,plain,(
% 0.15/0.32 spl0_14 <=> c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f111,plain,(
% 0.15/0.32 c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~spl0_14),
% 0.15/0.32 inference(component_clause,[status(thm)],[f110])).
% 0.15/0.32 fof(f113,plain,(
% 0.15/0.32 c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)|c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|spl0_1|~spl0_3),
% 0.15/0.32 inference(resolution,[status(thm)],[f45,f55])).
% 0.15/0.32 fof(f114,plain,(
% 0.15/0.32 spl0_13|spl0_14|spl0_1|~spl0_3),
% 0.15/0.32 inference(split_clause,[status(thm)],[f113,f107,f110,f43,f54])).
% 0.15/0.32 fof(f121,plain,(
% 0.15/0.32 $false|spl0_12),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f100,f35])).
% 0.15/0.32 fof(f122,plain,(
% 0.15/0.32 spl0_12),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f121])).
% 0.15/0.32 fof(f133,plain,(
% 0.15/0.32 spl0_15 <=> c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f135,plain,(
% 0.15/0.32 ~c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|spl0_15),
% 0.15/0.32 inference(component_clause,[status(thm)],[f133])).
% 0.15/0.32 fof(f136,plain,(
% 0.15/0.32 ~c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)|~spl0_5|spl0_1),
% 0.15/0.56 inference(resolution,[status(thm)],[f63,f45])).
% 0.15/0.56 fof(f137,plain,(
% 0.15/0.56 ~spl0_15|spl0_13|~spl0_5|spl0_1),
% 0.15/0.56 inference(split_clause,[status(thm)],[f136,f133,f107,f62,f43])).
% 0.15/0.56 fof(f138,plain,(
% 0.15/0.56 spl0_16 <=> c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.15/0.56 introduced(split_symbol_definition)).
% 0.15/0.56 fof(f140,plain,(
% 0.15/0.56 ~c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|spl0_16),
% 0.15/0.56 inference(component_clause,[status(thm)],[f138])).
% 0.15/0.56 fof(f141,plain,(
% 0.15/0.56 ~c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|~spl0_6|spl0_1),
% 0.15/0.56 inference(resolution,[status(thm)],[f70,f45])).
% 0.15/0.56 fof(f142,plain,(
% 0.15/0.56 ~spl0_16|spl0_14|~spl0_6|spl0_1),
% 0.15/0.56 inference(split_clause,[status(thm)],[f141,f138,f110,f69,f43])).
% 0.15/0.56 fof(f143,plain,(
% 0.15/0.56 ~c_in(c_Pair(v_a,v_sko__4mj(v_S,v_a,v_r),t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_sko__4mk(v_L,v_S,v_r),v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))|v_S=c_emptyset|spl0_1),
% 0.15/0.56 inference(resolution,[status(thm)],[f74,f36])).
% 0.15/0.56 fof(f144,plain,(
% 0.15/0.56 ~spl0_16|~spl0_15|spl0_4|spl0_1),
% 0.15/0.56 inference(split_clause,[status(thm)],[f143,f138,f133,f57,f43])).
% 0.15/0.56 fof(f168,plain,(
% 0.15/0.56 ![X0,X1]: (~c_in(v_sko__4mj(v_S,v_a,v_r),X0,t_a)|~c_lessequals(X0,c_Tarski_Ointerval(v_r,v_a,X1,t_a),tc_set(t_a))|spl0_16)),
% 0.15/0.56 inference(resolution,[status(thm)],[f140,f25])).
% 0.15/0.56 fof(f187,plain,(
% 0.15/0.56 ![X0]: (~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|~c_in(v_sko__4mk(v_L,v_S,v_r),X0,t_a)|spl0_15)),
% 0.15/0.56 inference(resolution,[status(thm)],[f135,f30])).
% 0.15/0.56 fof(f202,plain,(
% 0.15/0.56 ~c_in(v_sko__4mj(v_S,v_a,v_r),v_S,t_a)|spl0_16),
% 0.15/0.56 inference(resolution,[status(thm)],[f168,f36])).
% 0.15/0.56 fof(f203,plain,(
% 0.15/0.56 $false|~spl0_13|spl0_16),
% 0.15/0.56 inference(forward_subsumption_resolution,[status(thm)],[f202,f108])).
% 0.15/0.56 fof(f204,plain,(
% 0.15/0.56 ~spl0_13|spl0_16),
% 0.15/0.56 inference(contradiction_clause,[status(thm)],[f203])).
% 0.15/0.56 fof(f205,plain,(
% 0.15/0.56 ~c_in(v_sko__4mk(v_L,v_S,v_r),v_S,t_a)|spl0_15),
% 0.15/0.56 inference(resolution,[status(thm)],[f187,f38])).
% 0.15/0.56 fof(f206,plain,(
% 0.15/0.56 $false|~spl0_14|spl0_15),
% 0.15/0.56 inference(forward_subsumption_resolution,[status(thm)],[f205,f111])).
% 0.15/0.56 fof(f207,plain,(
% 0.15/0.56 ~spl0_14|spl0_15),
% 0.15/0.56 inference(contradiction_clause,[status(thm)],[f206])).
% 0.15/0.56 fof(f251,plain,(
% 0.15/0.56 ~c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~spl0_11),
% 0.15/0.56 inference(resolution,[status(thm)],[f96,f38])).
% 0.15/0.56 fof(f288,plain,(
% 0.15/0.56 spl0_35 <=> ~c_Tarski_OisLub(X0,v_cl,v_sko__4mi(v_S,v_r,v_b),t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.15/0.56 introduced(split_symbol_definition)).
% 0.15/0.56 fof(f291,plain,(
% 0.15/0.56 ![X0]: (~c_Tarski_OisLub(X0,v_cl,v_sko__4mi(v_S,v_r,v_b),t_a)|~c_in(v_b,v_A,t_a)|~c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|~spl0_11)),
% 0.15/0.56 inference(resolution,[status(thm)],[f251,f34])).
% 0.15/0.56 fof(f292,plain,(
% 0.15/0.56 spl0_35|~spl0_12|~spl0_11),
% 0.15/0.56 inference(split_clause,[status(thm)],[f291,f288,f98,f95])).
% 0.15/0.56 fof(f294,plain,(
% 0.15/0.56 ![X0,X1]: (~c_in(v_sko__4mi(v_S,v_r,v_b),X0,t_a)|~c_lessequals(X0,c_Tarski_Ointerval(v_r,X1,v_b,t_a),tc_set(t_a))|~spl0_11)),
% 0.15/0.56 inference(resolution,[status(thm)],[f251,f27])).
% 0.15/0.56 fof(f308,plain,(
% 0.15/0.56 ~c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)|~spl0_11),
% 0.15/0.56 inference(resolution,[status(thm)],[f294,f36])).
% 0.15/0.56 fof(f309,plain,(
% 0.15/0.56 $false|~spl0_2|~spl0_11),
% 0.15/0.56 inference(forward_subsumption_resolution,[status(thm)],[f308,f50])).
% 0.15/0.56 fof(f310,plain,(
% 0.15/0.56 ~spl0_2|~spl0_11),
% 0.15/0.56 inference(contradiction_clause,[status(thm)],[f309])).
% 0.15/0.56 fof(f311,plain,(
% 0.15/0.56 $false),
% 0.15/0.56 inference(sat_refutation,[status(thm)],[f47,f53,f61,f66,f68,f73,f82,f102,f114,f122,f137,f142,f144,f204,f207,f292,f310])).
% 0.15/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.56 % Elapsed time: 0.034782 seconds
% 0.15/0.56 % CPU time: 0.019773 seconds
% 0.15/0.56 % Memory used: 3.081 MB
%------------------------------------------------------------------------------