%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT276-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:03:29 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT276-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n016.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 23:29:27 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.09/5.40 % Refutation found
% 0.09/5.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.40 fof(f1,negated_conjecture,(
% 0.09/5.40 c_lessequals(v_S,v_A,tc_set(t_a)) ),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f2,negated_conjecture,(
% 0.09/5.40 (![V_V]: (( c_in(c_Pair(V_V,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))| ~ c_in(V_V,v_S,t_a)| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f3,negated_conjecture,(
% 0.09/5.40 ( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)| c_in(v_xa,v_S,t_a) ) ),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f4,negated_conjecture,(
% 0.09/5.40 ( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))| c_in(v_xa,v_S,t_a) ) ),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f5,negated_conjecture,(
% 0.09/5.40 ( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ) ),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f6,negated_conjecture,(
% 0.09/5.40 (![V_U]: (( c_in(c_Pair(V_U,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))| ~ c_in(V_U,v_S,t_a)| c_in(v_xa,v_S,t_a) ) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f7,axiom,(
% 0.09/5.40 (![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) ) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f8,axiom,(
% 0.09/5.40 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f9,axiom,(
% 0.09/5.40 (![V_L,V_S]: (( ~ c_in(V_L,v_A,t_a)| ~ c_lessequals(V_S,v_A,tc_set(t_a))| c_in(c_Pair(c_Tarski_Olub(V_S,v_cl,t_a),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))| c_in(v_sko__4mP(V_L,V_S,v_r),V_S,t_a) ) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f10,axiom,(
% 0.09/5.40 (![V_L,V_S]: (( ~ c_in(V_L,v_A,t_a)| ~ c_in(c_Pair(v_sko__4mP(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(c_Tarski_Olub(V_S,v_cl,t_a),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f11,axiom,(
% 0.09/5.40 (![V_x,V_S]: (( ~ c_in(V_x,V_S,t_a)| ~ c_lessequals(V_S,v_A,tc_set(t_a))| c_in(c_Pair(V_x,c_Tarski_Olub(V_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ))),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f12,axiom,(
% 0.09/5.40 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.09/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.40 fof(f13,plain,(
% 0.09/5.40 c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/5.40 fof(f14,plain,(
% 0.09/5.40 (![V_V]: (c_in(c_Pair(V_V,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~c_in(V_V,v_S,t_a)))|~c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))),
% 0.09/5.40 inference(miniscoping,[status(thm)],[f2])).
% 0.09/5.40 fof(f15,plain,(
% 0.09/5.40 ![X0]: (c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~c_in(X0,v_S,t_a)|~c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/5.40 fof(f16,plain,(
% 0.09/5.40 c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)|c_in(v_xa,v_S,t_a)),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/5.40 fof(f17,plain,(
% 0.09/5.40 ~c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|c_in(v_xa,v_S,t_a)),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.40 fof(f18,plain,(
% 0.09/5.40 ~c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/5.40 fof(f19,plain,(
% 0.09/5.40 (![V_U]: (c_in(c_Pair(V_U,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~c_in(V_U,v_S,t_a)))|c_in(v_xa,v_S,t_a)),
% 0.09/5.40 inference(miniscoping,[status(thm)],[f6])).
% 0.09/5.40 fof(f20,plain,(
% 0.09/5.40 ![X0]: (c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~c_in(X0,v_S,t_a)|c_in(v_xa,v_S,t_a))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/5.40 fof(f21,plain,(
% 0.09/5.40 ![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))),
% 0.09/5.40 inference(miniscoping,[status(thm)],[f7])).
% 0.09/5.40 fof(f22,plain,(
% 0.09/5.40 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/5.40 fof(f23,plain,(
% 0.09/5.40 v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/5.40 fof(f24,plain,(
% 0.09/5.40 ![X0,X1]: (~c_in(X0,v_A,t_a)|~c_lessequals(X1,v_A,tc_set(t_a))|c_in(c_Pair(c_Tarski_Olub(X1,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mP(X0,X1,v_r),X1,t_a))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/5.40 fof(f25,plain,(
% 0.09/5.40 ![X0,X1]: (~c_in(X0,v_A,t_a)|~c_in(c_Pair(v_sko__4mP(X0,X1,v_r),X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_lessequals(X1,v_A,tc_set(t_a))|c_in(c_Pair(c_Tarski_Olub(X1,v_cl,t_a),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/5.40 fof(f26,plain,(
% 0.09/5.40 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_lessequals(X1,v_A,tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Olub(X1,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/5.40 fof(f27,plain,(
% 0.09/5.40 v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.09/5.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/5.40 fof(f28,definition,(
% 0.09/5.40 ![X0]: (sQ0_spl <=> (c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~c_in(X0,v_S,t_a)))),
% 0.09/5.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/5.40 fof(f29,plain,(
% 0.09/5.40 ![X0]: (c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|~c_in(X0,v_S,t_a)|~sQ0_spl)),
% 0.09/5.40 inference(component_clause,[status(thm)],[f28])).
% 0.09/5.40 fof(f31,definition,(
% 0.09/5.40 sQ1_spl <=> (c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.09/5.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/5.40 fof(f33,plain,(
% 0.09/5.40 ~c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|sQ1_spl),
% 0.09/5.40 inference(component_clause,[status(thm)],[f31])).
% 0.09/5.40 fof(f34,plain,(
% 0.09/5.40 sQ0_spl|~sQ1_spl),
% 0.09/5.40 inference(split_clause,[status(thm)],[f15,f28,f31])).
% 0.09/5.40 fof(f35,definition,(
% 0.09/5.40 sQ2_spl <=> (c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a))),
% 0.09/5.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/5.40 fof(f36,plain,(
% 0.09/5.40 c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)|~sQ2_spl),
% 0.09/5.40 inference(component_clause,[status(thm)],[f35])).
% 0.09/5.40 fof(f37,plain,(
% 0.09/5.40 ~c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)|sQ2_spl),
% 0.09/5.40 inference(component_clause,[status(thm)],[f35])).
% 0.09/5.40 fof(f38,definition,(
% 0.09/5.40 sQ3_spl <=> (c_in(v_xa,v_S,t_a))),
% 0.09/5.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/5.40 fof(f39,plain,(
% 0.09/5.40 c_in(v_xa,v_S,t_a)|~sQ3_spl),
% 0.09/5.40 inference(component_clause,[status(thm)],[f38])).
% 0.09/5.40 fof(f41,plain,(
% 0.09/5.40 sQ2_spl|sQ3_spl),
% 0.09/5.40 inference(split_clause,[status(thm)],[f16,f35,f38])).
% 0.09/5.40 fof(f42,definition,(
% 0.09/5.40 sQ4_spl <=> (c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.09/5.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/5.40 fof(f44,plain,(
% 0.09/5.40 ~c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))|sQ4_spl),
% 0.09/5.40 inference(component_clause,[status(thm)],[f42])).
% 0.09/5.40 fof(f45,plain,(
% 0.09/5.40 ~sQ4_spl|sQ3_spl),
% 0.09/5.40 inference(split_clause,[status(thm)],[f17,f42,f38])).
% 0.09/5.40 fof(f46,plain,(
% 0.09/5.40 ~sQ4_spl|~sQ1_spl),
% 0.09/5.40 inference(split_clause,[status(thm)],[f18,f42,f31])).
% 0.09/5.40 fof(f47,plain,(
% 0.09/5.40 sQ0_spl|sQ3_spl),
% 0.09/5.40 inference(split_clause,[status(thm)],[f20,f28,f38])).
% 0.09/5.40 fof(f49,plain,(
% 0.09/5.40 ![X0]: (~c_in(X0,v_S,t_a)|c_in(X0,v_A,t_a))),
% 0.09/5.40 inference(resolution,[status(thm)],[f22,f13])).
% 0.09/5.40 fof(f51,plain,(
% 0.09/5.40 ![X0]: (c_in(c_Pair(X0,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(X0,v_S,t_a)|~sQ0_spl)),
% 0.09/5.40 inference(backward_demodulation,[status(thm)],[f27,f29])).
% 0.09/5.40 fof(f52,plain,(
% 0.09/5.40 ~c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|sQ4_spl),
% 0.09/5.40 inference(backward_demodulation,[status(thm)],[f27,f44])).
% 0.09/5.40 fof(f53,plain,(
% 0.09/5.40 c_in(v_xa,v_A,t_a)|~sQ3_spl),
% 0.09/5.40 inference(resolution,[status(thm)],[f49,f39])).
% 0.09/5.40 fof(f56,plain,(
% 0.09/5.40 ~c_lessequals(v_S,v_A,tc_set(t_a))|c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))|~sQ3_spl),
% 0.09/5.40 inference(resolution,[status(thm)],[f26,f39])).
% 0.09/5.40 fof(f64,definition,(
% 0.09/5.40 sQ7_spl <=> (c_lessequals(v_S,v_A,tc_set(t_a)))),
% 0.09/5.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/5.40 fof(f66,plain,(
% 0.09/5.40 ~c_lessequals(v_S,v_A,tc_set(t_a))|sQ7_spl),
% 0.09/5.40 inference(component_clause,[status(thm)],[f64])).
% 0.09/5.40 fof(f67,definition,(
% 0.09/5.40 sQ8_spl <=> (c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.09/5.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/5.40 fof(f68,plain,(
% 0.09/5.40 c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))|~sQ8_spl),
% 0.09/5.40 inference(component_clause,[status(thm)],[f67])).
% 0.09/5.40 fof(f70,plain,(
% 0.09/5.40 ~sQ7_spl|sQ8_spl|~sQ3_spl),
% 0.09/5.40 inference(split_clause,[status(thm)],[f56,f64,f67,f38])).
% 0.09/5.40 fof(f71,plain,(
% 0.09/5.40 ~c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))|sQ1_spl),
% 0.09/5.40 inference(forward_demodulation,[status(thm)],[f27,f33])).
% 0.09/5.40 fof(f72,plain,(
% 0.09/5.40 c_in(v_xa,v_A,t_a)|~sQ2_spl),
% 0.09/5.40 inference(forward_demodulation,[status(thm)],[f23,f36])).
% 0.09/5.40 fof(f73,plain,(
% 0.09/5.40 $false|sQ7_spl),
% 0.09/5.40 inference(forward_subsumption_resolution,[status(thm)],[f66,f13])).
% 0.09/5.40 fof(f74,plain,(
% 0.09/5.40 sQ7_spl),
% 0.09/5.40 inference(contradiction_clause,[status(thm)],[f73])).
% 0.09/5.40 fof(f83,plain,(
% 0.09/5.40 ![X0]: (~c_lessequals(X0,v_A,tc_set(t_a))|c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mP(v_xa,X0,v_r),X0,t_a)|~sQ3_spl)),
% 0.09/5.40 inference(resolution,[status(thm)],[f24,f53])).
% 0.09/5.40 fof(f84,plain,(
% 0.09/5.40 c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)|~sQ3_spl),
% 0.09/5.40 inference(resolution,[status(thm)],[f83,f13])).
% 0.09/5.40 fof(f85,definition,(
% 0.09/5.40 sQ9_spl <=> (c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.09/5.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.09/5.40 fof(f86,plain,(
% 0.09/5.40 c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|~sQ9_spl),
% 0.09/5.40 inference(component_clause,[status(thm)],[f85])).
% 0.09/5.40 fof(f88,definition,(
% 0.09/5.40 sQ10_spl <=> (c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a))),
% 0.09/5.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.09/5.40 fof(f89,plain,(
% 0.09/5.40 c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)|~sQ10_spl),
% 0.09/5.40 inference(component_clause,[status(thm)],[f88])).
% 0.09/5.40 fof(f91,plain,(
% 0.09/5.40 sQ9_spl|sQ10_spl|~sQ3_spl),
% 0.09/5.40 inference(split_clause,[status(thm)],[f84,f85,f88,f38])).
% 0.09/5.40 fof(f92,plain,(
% 0.09/5.40 $false|~sQ8_spl|sQ1_spl),
% 0.09/5.40 inference(forward_subsumption_resolution,[status(thm)],[f71,f68])).
% 0.09/5.40 fof(f93,plain,(
% 0.09/5.40 ~sQ8_spl|sQ1_spl),
% 0.09/5.40 inference(contradiction_clause,[status(thm)],[f92])).
% 0.09/5.40 fof(f95,plain,(
% 0.09/5.40 ![X0]: (~c_lessequals(X0,v_A,tc_set(t_a))|c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mP(v_xa,X0,v_r),X0,t_a)|~sQ2_spl)),
% 0.13/5.41 inference(resolution,[status(thm)],[f72,f24])).
% 0.13/5.41 fof(f98,plain,(
% 0.13/5.41 c_in(c_Pair(v_sko__4mP(v_xa,v_S,v_r),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|~sQ10_spl|~sQ0_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f89,f51])).
% 0.13/5.41 fof(f105,plain,(
% 0.13/5.41 $false|sQ4_spl|~sQ9_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f86,f52])).
% 0.13/5.41 fof(f106,plain,(
% 0.13/5.41 sQ4_spl|~sQ9_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f105])).
% 0.13/5.41 fof(f117,plain,(
% 0.13/5.41 c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)|~sQ2_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f95,f13])).
% 0.13/5.41 fof(f118,plain,(
% 0.13/5.41 sQ9_spl|sQ10_spl|~sQ2_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f117,f85,f88,f35])).
% 0.13/5.41 fof(f119,plain,(
% 0.13/5.41 ~c_in(v_xa,v_A,t_a)|~c_lessequals(v_S,v_A,tc_set(t_a))|c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))|~sQ10_spl|~sQ0_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f25,f98])).
% 0.13/5.41 fof(f120,definition,(
% 0.13/5.41 sQ13_spl <=> (c_in(v_xa,v_A,t_a))),
% 0.13/5.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/5.41 fof(f122,plain,(
% 0.13/5.41 ~c_in(v_xa,v_A,t_a)|sQ13_spl),
% 0.13/5.41 inference(component_clause,[status(thm)],[f120])).
% 0.13/5.41 fof(f123,plain,(
% 0.13/5.41 ~sQ13_spl|~sQ7_spl|sQ9_spl|~sQ10_spl|~sQ0_spl),
% 0.13/5.41 inference(split_clause,[status(thm)],[f119,f120,f64,f85,f88,f28])).
% 0.13/5.41 fof(f124,plain,(
% 0.13/5.41 $false|~sQ2_spl|sQ13_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f122,f72])).
% 0.13/5.41 fof(f125,plain,(
% 0.13/5.41 ~sQ2_spl|sQ13_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f124])).
% 0.13/5.41 fof(f126,plain,(
% 0.13/5.41 ~c_in(v_xa,v_A,t_a)|sQ2_spl),
% 0.13/5.41 inference(forward_demodulation,[status(thm)],[f23,f37])).
% 0.13/5.41 fof(f128,plain,(
% 0.13/5.41 c_in(v_xa,v_A,t_a)|~sQ3_spl),
% 0.13/5.41 inference(resolution,[status(thm)],[f39,f49])).
% 0.13/5.41 fof(f130,plain,(
% 0.13/5.41 $false|sQ2_spl|~sQ3_spl),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f128,f126])).
% 0.13/5.41 fof(f131,plain,(
% 0.13/5.41 sQ2_spl|~sQ3_spl),
% 0.13/5.41 inference(contradiction_clause,[status(thm)],[f130])).
% 0.13/5.41 fof(f132,plain,(
% 0.13/5.41 $false),
% 0.13/5.41 inference(sat_refutation,[status(thm)],[f34,f41,f45,f46,f47,f70,f74,f91,f93,f106,f118,f123,f125,f131])).
% 0.13/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.42 % Elapsed time: 0.048947 seconds
% 0.13/5.42 % CPU time: 0.145885 seconds
% 0.13/5.42 % Total memory used: 83.103 MB
% 0.13/5.42 % Net memory used: 82.799 MB
%------------------------------------------------------------------------------