TSTP Solution File: LAT273-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LAT273-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 0.16s 0.53s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LAT273-1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Tue May 30 09:21:19 EDT 2023
% 0.11/0.32  % CPUTime  : 
% 0.16/0.41  % Drodi V3.5.1
% 0.16/0.53  % Refutation found
% 0.16/0.53  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.53  % SZS output start CNFRefutation for theBenchmark
% 0.16/0.53  fof(f6,axiom,(
% 0.16/0.53    (![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)) ) ))),
% 0.16/0.53    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53  fof(f10,axiom,(
% 0.16/0.53    (![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) ) ))),
% 0.16/0.53    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53  fof(f11,axiom,(
% 0.16/0.53    (![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)) ) ))),
% 0.16/0.53    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53  fof(f2753,negated_conjecture,(
% 0.16/0.53    c_in(v_b,v_A,t_a) ),
% 0.16/0.53    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53  fof(f2754,negated_conjecture,(
% 0.16/0.53    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ),
% 0.16/0.53    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53  fof(f2756,negated_conjecture,(
% 0.16/0.53    c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ),
% 0.16/0.53    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53  fof(f2758,negated_conjecture,(
% 0.16/0.53    ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.16/0.53    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.53  fof(f2769,plain,(
% 0.16/0.53    ![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)))),
% 0.16/0.53    inference(miniscoping,[status(esa)],[f6])).
% 0.16/0.53  fof(f2770,plain,(
% 0.16/0.53    ![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)))),
% 0.16/0.53    inference(cnf_transformation,[status(esa)],[f2769])).
% 0.16/0.53  fof(f2776,plain,(
% 0.16/0.53    ![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))),
% 0.16/0.53    inference(miniscoping,[status(esa)],[f10])).
% 0.16/0.53  fof(f2777,plain,(
% 0.16/0.53    ![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))),
% 0.16/0.53    inference(cnf_transformation,[status(esa)],[f2776])).
% 0.16/0.53  fof(f2778,plain,(
% 0.16/0.53    ![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)))),
% 0.16/0.53    inference(miniscoping,[status(esa)],[f11])).
% 0.16/0.53  fof(f2779,plain,(
% 0.16/0.53    ![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)))),
% 0.16/0.53    inference(cnf_transformation,[status(esa)],[f2778])).
% 0.16/0.53  fof(f6138,plain,(
% 0.16/0.53    c_in(v_b,v_A,t_a)),
% 0.16/0.53    inference(cnf_transformation,[status(esa)],[f2753])).
% 0.16/0.53  fof(f6139,plain,(
% 0.16/0.53    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a))),
% 0.16/0.53    inference(cnf_transformation,[status(esa)],[f2754])).
% 0.16/0.53  fof(f6141,plain,(
% 0.16/0.53    c_Tarski_OisLub(v_S,v_cl,v_L,t_a)),
% 0.16/0.53    inference(cnf_transformation,[status(esa)],[f2756])).
% 0.16/0.53  fof(f6143,plain,(
% 0.16/0.53    ~c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.16/0.53    inference(cnf_transformation,[status(esa)],[f2758])).
% 0.16/0.53  fof(f6379,plain,(
% 0.16/0.53    spl0_32 <=> ~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a)),
% 0.16/0.53    introduced(split_symbol_definition)).
% 0.16/0.53  fof(f6380,plain,(
% 0.16/0.53    ![X0]: (~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a)|~spl0_32)),
% 0.16/0.53    inference(component_clause,[status(thm)],[f6379])).
% 0.16/0.53  fof(f6382,plain,(
% 0.16/0.53    spl0_33 <=> c_in(v_b,v_A,t_a)),
% 0.16/0.53    introduced(split_symbol_definition)).
% 0.16/0.53  fof(f6384,plain,(
% 0.16/0.53    ~c_in(v_b,v_A,t_a)|spl0_33),
% 0.16/0.53    inference(component_clause,[status(thm)],[f6382])).
% 0.16/0.53  fof(f6385,plain,(
% 0.16/0.53    ![X0]: (~c_Tarski_OisLub(X0,v_cl,v_L,t_a)|~c_in(v_b,v_A,t_a)|c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a))),
% 0.16/0.53    inference(resolution,[status(thm)],[f2777,f6143])).
% 0.16/0.55  fof(f6386,plain,(
% 0.16/0.55    spl0_32|~spl0_33),
% 0.16/0.55    inference(split_clause,[status(thm)],[f6385,f6379,f6382])).
% 0.16/0.55  fof(f6387,plain,(
% 0.16/0.55    $false|spl0_33),
% 0.16/0.55    inference(forward_subsumption_resolution,[status(thm)],[f6384,f6138])).
% 0.16/0.55  fof(f6388,plain,(
% 0.16/0.55    spl0_33),
% 0.16/0.55    inference(contradiction_clause,[status(thm)],[f6387])).
% 0.16/0.55  fof(f6389,plain,(
% 0.16/0.55    spl0_34 <=> ~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))),
% 0.16/0.55    introduced(split_symbol_definition)).
% 0.16/0.55  fof(f6390,plain,(
% 0.16/0.55    ![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_34)),
% 0.16/0.55    inference(component_clause,[status(thm)],[f6389])).
% 0.16/0.55  fof(f6392,plain,(
% 0.16/0.55    ![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)))),
% 0.16/0.55    inference(resolution,[status(thm)],[f2779,f6143])).
% 0.16/0.55  fof(f6393,plain,(
% 0.16/0.55    spl0_34|~spl0_33),
% 0.16/0.55    inference(split_clause,[status(thm)],[f6392,f6389,f6382])).
% 0.16/0.55  fof(f6394,plain,(
% 0.16/0.55    c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)|~spl0_32),
% 0.16/0.55    inference(resolution,[status(thm)],[f6380,f6141])).
% 0.16/0.55  fof(f6395,plain,(
% 0.16/0.55    ~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_34),
% 0.16/0.55    inference(resolution,[status(thm)],[f6390,f6141])).
% 0.16/0.55  fof(f6411,plain,(
% 0.16/0.55    ![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_34)),
% 0.16/0.55    inference(resolution,[status(thm)],[f6395,f2770])).
% 0.16/0.55  fof(f6422,plain,(
% 0.16/0.55    ~c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)|~spl0_34),
% 0.16/0.55    inference(resolution,[status(thm)],[f6411,f6139])).
% 0.16/0.55  fof(f6423,plain,(
% 0.16/0.55    $false|~spl0_32|~spl0_34),
% 0.16/0.55    inference(forward_subsumption_resolution,[status(thm)],[f6422,f6394])).
% 0.16/0.55  fof(f6424,plain,(
% 0.16/0.55    ~spl0_32|~spl0_34),
% 0.16/0.55    inference(contradiction_clause,[status(thm)],[f6423])).
% 0.16/0.55  fof(f6425,plain,(
% 0.16/0.55    $false),
% 0.16/0.55    inference(sat_refutation,[status(thm)],[f6386,f6388,f6393,f6424])).
% 0.16/0.55  % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.57  % Elapsed time: 0.240596 seconds
% 0.16/0.57  % CPU time: 0.785142 seconds
% 0.16/0.57  % Memory used: 165.974 MB
%------------------------------------------------------------------------------