TSTP Solution File: LAT276-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 0.13s 0.37s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT276-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 09:12:32 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37  fof(f1,negated_conjecture,(
% 0.13/0.37    c_lessequals(v_S,v_A,tc_set(t_a)) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f2,negated_conjecture,(
% 0.13/0.37    (![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)) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f3,negated_conjecture,(
% 0.13/0.37    ( 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) ) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f4,negated_conjecture,(
% 0.13/0.37    ( ~ 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) ) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f5,negated_conjecture,(
% 0.13/0.37    ( ~ 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)) ) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f6,negated_conjecture,(
% 0.13/0.37    (![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) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f7,axiom,(
% 0.13/0.37    (![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) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f8,axiom,(
% 0.13/0.37    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f9,axiom,(
% 0.13/0.37    (![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) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f10,axiom,(
% 0.13/0.37    (![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)) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f11,axiom,(
% 0.13/0.37    (![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)) ) ))),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f12,axiom,(
% 0.13/0.37    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.13/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37  fof(f13,plain,(
% 0.13/0.37    c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.37  fof(f14,plain,(
% 0.13/0.37    (![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))),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f2])).
% 0.13/0.37  fof(f15,plain,(
% 0.13/0.37    ![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)))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.37  fof(f16,plain,(
% 0.13/0.37    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)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.37  fof(f17,plain,(
% 0.13/0.37    ~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)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.37  fof(f18,plain,(
% 0.13/0.37    ~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))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.37  fof(f19,plain,(
% 0.13/0.37    (![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)),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f6])).
% 0.13/0.37  fof(f20,plain,(
% 0.13/0.37    ![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))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.37  fof(f21,plain,(
% 0.13/0.37    ![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))),
% 0.13/0.37    inference(miniscoping,[status(esa)],[f7])).
% 0.13/0.37  fof(f22,plain,(
% 0.13/0.37    ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.37  fof(f23,plain,(
% 0.13/0.37    v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.37  fof(f24,plain,(
% 0.13/0.37    ![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))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.37  fof(f25,plain,(
% 0.13/0.37    ![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)))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.37  fof(f26,plain,(
% 0.13/0.37    ![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)))),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.37  fof(f27,plain,(
% 0.13/0.37    v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.13/0.37    inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.37  fof(f28,plain,(
% 0.13/0.37    spl0_0 <=> 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)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f29,plain,(
% 0.13/0.37    ![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)|~spl0_0)),
% 0.13/0.37    inference(component_clause,[status(thm)],[f28])).
% 0.13/0.37  fof(f31,plain,(
% 0.13/0.37    spl0_1 <=> 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))),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f33,plain,(
% 0.13/0.37    ~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))|spl0_1),
% 0.13/0.37    inference(component_clause,[status(thm)],[f31])).
% 0.13/0.37  fof(f34,plain,(
% 0.13/0.37    spl0_0|~spl0_1),
% 0.13/0.37    inference(split_clause,[status(thm)],[f15,f28,f31])).
% 0.13/0.37  fof(f35,plain,(
% 0.13/0.37    spl0_2 <=> c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f36,plain,(
% 0.13/0.37    c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)|~spl0_2),
% 0.13/0.37    inference(component_clause,[status(thm)],[f35])).
% 0.13/0.37  fof(f38,plain,(
% 0.13/0.37    spl0_3 <=> c_in(v_xa,v_S,t_a)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f39,plain,(
% 0.13/0.37    c_in(v_xa,v_S,t_a)|~spl0_3),
% 0.13/0.37    inference(component_clause,[status(thm)],[f38])).
% 0.13/0.37  fof(f41,plain,(
% 0.13/0.37    spl0_2|spl0_3),
% 0.13/0.37    inference(split_clause,[status(thm)],[f16,f35,f38])).
% 0.13/0.37  fof(f42,plain,(
% 0.13/0.37    spl0_4 <=> 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))),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f44,plain,(
% 0.13/0.37    ~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))|spl0_4),
% 0.13/0.37    inference(component_clause,[status(thm)],[f42])).
% 0.13/0.37  fof(f45,plain,(
% 0.13/0.37    ~spl0_4|spl0_3),
% 0.13/0.37    inference(split_clause,[status(thm)],[f17,f42,f38])).
% 0.22/0.62  fof(f46,plain,(
% 0.22/0.62    ~spl0_4|~spl0_1),
% 0.22/0.62    inference(split_clause,[status(thm)],[f18,f42,f31])).
% 0.22/0.62  fof(f47,plain,(
% 0.22/0.62    spl0_0|spl0_3),
% 0.22/0.62    inference(split_clause,[status(thm)],[f20,f28,f38])).
% 0.22/0.62  fof(f48,plain,(
% 0.22/0.62    ![X0]: (~c_in(X0,v_S,t_a)|c_in(X0,v_A,t_a))),
% 0.22/0.62    inference(resolution,[status(thm)],[f22,f13])).
% 0.22/0.62  fof(f50,plain,(
% 0.22/0.62    c_in(v_xa,v_A,t_a)|~spl0_3),
% 0.22/0.62    inference(resolution,[status(thm)],[f39,f48])).
% 0.22/0.62  fof(f51,plain,(
% 0.22/0.62    ~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))|spl0_4),
% 0.22/0.62    inference(forward_demodulation,[status(thm)],[f27,f44])).
% 0.22/0.62  fof(f52,plain,(
% 0.22/0.62    spl0_5 <=> c_in(v_xa,v_A,t_a)),
% 0.22/0.62    introduced(split_symbol_definition)).
% 0.22/0.62  fof(f54,plain,(
% 0.22/0.62    ~c_in(v_xa,v_A,t_a)|spl0_5),
% 0.22/0.62    inference(component_clause,[status(thm)],[f52])).
% 0.22/0.62  fof(f55,plain,(
% 0.22/0.62    spl0_6 <=> c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.22/0.62    introduced(split_symbol_definition)).
% 0.22/0.62  fof(f57,plain,(
% 0.22/0.62    ~c_lessequals(v_S,v_A,tc_set(t_a))|spl0_6),
% 0.22/0.62    inference(component_clause,[status(thm)],[f55])).
% 0.22/0.62  fof(f58,plain,(
% 0.22/0.62    spl0_7 <=> c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)),
% 0.22/0.62    introduced(split_symbol_definition)).
% 0.22/0.62  fof(f61,plain,(
% 0.22/0.62    ~c_in(v_xa,v_A,t_a)|~c_lessequals(v_S,v_A,tc_set(t_a))|c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)|spl0_4),
% 0.22/0.62    inference(resolution,[status(thm)],[f51,f24])).
% 0.22/0.62  fof(f62,plain,(
% 0.22/0.62    ~spl0_5|~spl0_6|spl0_7|spl0_4),
% 0.22/0.62    inference(split_clause,[status(thm)],[f61,f52,f55,f58,f42])).
% 0.22/0.62  fof(f63,plain,(
% 0.22/0.62    $false|spl0_6),
% 0.22/0.62    inference(forward_subsumption_resolution,[status(thm)],[f57,f13])).
% 0.22/0.62  fof(f64,plain,(
% 0.22/0.62    spl0_6),
% 0.22/0.62    inference(contradiction_clause,[status(thm)],[f63])).
% 0.22/0.62  fof(f65,plain,(
% 0.22/0.62    $false|~spl0_3|spl0_5),
% 0.22/0.62    inference(forward_subsumption_resolution,[status(thm)],[f54,f50])).
% 0.22/0.62  fof(f66,plain,(
% 0.22/0.62    ~spl0_3|spl0_5),
% 0.22/0.62    inference(contradiction_clause,[status(thm)],[f65])).
% 0.22/0.62  fof(f67,plain,(
% 0.22/0.62    ![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)|~spl0_0)),
% 0.22/0.62    inference(forward_demodulation,[status(thm)],[f27,f29])).
% 0.22/0.62  fof(f68,plain,(
% 0.22/0.62    c_in(v_xa,v_A,t_a)|~spl0_2),
% 0.22/0.62    inference(forward_demodulation,[status(thm)],[f23,f36])).
% 0.22/0.62  fof(f71,plain,(
% 0.22/0.62    spl0_8 <=> ~c_in(v_sko__4mP(v_xa,X0,v_r),v_S,t_a)|~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))),
% 0.22/0.62    introduced(split_symbol_definition)).
% 0.22/0.62  fof(f72,plain,(
% 0.22/0.62    ![X0]: (~c_in(v_sko__4mP(v_xa,X0,v_r),v_S,t_a)|~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))|~spl0_8)),
% 0.22/0.62    inference(component_clause,[status(thm)],[f71])).
% 0.22/0.62  fof(f74,plain,(
% 0.22/0.62    ![X0]: (~c_in(v_sko__4mP(v_xa,X0,v_r),v_S,t_a)|~c_in(v_xa,v_A,t_a)|~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))|~spl0_0)),
% 0.22/0.62    inference(resolution,[status(thm)],[f67,f25])).
% 0.22/0.62  fof(f75,plain,(
% 0.22/0.62    spl0_8|~spl0_5|~spl0_0),
% 0.22/0.62    inference(split_clause,[status(thm)],[f74,f71,f52,f28])).
% 0.22/0.62  fof(f76,plain,(
% 0.22/0.62    ~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))|spl0_1),
% 0.22/0.62    inference(forward_demodulation,[status(thm)],[f27,f33])).
% 0.22/0.62  fof(f78,plain,(
% 0.22/0.62    ~c_in(v_xa,v_S,t_a)|~c_lessequals(v_S,v_A,tc_set(t_a))|spl0_1),
% 0.22/0.62    inference(resolution,[status(thm)],[f76,f26])).
% 0.22/0.62  fof(f79,plain,(
% 0.22/0.62    ~spl0_3|~spl0_6|spl0_1),
% 0.22/0.62    inference(split_clause,[status(thm)],[f78,f38,f55,f31])).
% 0.22/0.62  fof(f80,plain,(
% 0.22/0.62    spl0_5|~spl0_2),
% 0.22/0.62    inference(split_clause,[status(thm)],[f68,f52,f35])).
% 0.22/0.62  fof(f89,plain,(
% 0.22/0.62    ~c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)|~c_lessequals(v_S,v_A,tc_set(t_a))|~spl0_8|spl0_4),
% 0.22/0.62    inference(resolution,[status(thm)],[f72,f51])).
% 0.22/0.62  fof(f90,plain,(
% 0.22/0.62    ~spl0_7|~spl0_6|~spl0_8|spl0_4),
% 0.22/0.62    inference(split_clause,[status(thm)],[f89,f58,f55,f71,f42])).
% 0.22/0.62  fof(f91,plain,(
% 0.22/0.62    $false),
% 0.22/0.62    inference(sat_refutation,[status(thm)],[f34,f41,f45,f46,f47,f62,f64,f66,f75,f79,f80,f90])).
% 0.22/0.62  % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.62  % Elapsed time: 0.054921 seconds
% 0.22/0.62  % CPU time: 0.024048 seconds
% 0.22/0.62  % Memory used: 3.671 MB
%------------------------------------------------------------------------------