TSTP Solution File: LCL808-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL808-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 12:20:34 EDT 2023

% Result   : Unsatisfiable 1.88s 0.65s
% Output   : CNFRefutation 1.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : LCL808-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n006.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 09:34:17 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.5.1
% 1.88/0.65  % Refutation found
% 1.88/0.65  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.88/0.65  % SZS output start CNFRefutation for theBenchmark
% 1.88/0.65  fof(f58,axiom,(
% 1.88/0.65    v_n____ = v_i____ ),
% 1.88/0.65    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.88/0.65  fof(f63,axiom,(
% 1.88/0.65    c_InductTermi_OIT(v_u____) ),
% 1.88/0.65    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.88/0.65  fof(f65,axiom,(
% 1.88/0.65    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_b____,v_Ua____) ),
% 1.88/0.65    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.88/0.65  fof(f66,axiom,(
% 1.88/0.65    (![V_ua,V_ia,V_ea,V_T_H]: (( c_InductTermi_OIT(c_Lambda_Osubst(v_b____,V_ua,V_ia))| ~ c_Type_Otyping(V_ea,V_ua,v_T____)| ~ c_InductTermi_OIT(V_ua)| ~ c_Type_Otyping(c_Type_Oshift(V_ea,V_ia,v_T____,tc_Type_Otype),v_b____,V_T_H) ) ))),
% 1.88/0.65    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.88/0.65  fof(f68,axiom,(
% 1.88/0.65    c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 1.88/0.65    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.88/0.65  fof(f69,negated_conjecture,(
% 1.88/0.65    ~ c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____)) ),
% 1.88/0.65    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.88/0.65  fof(f155,plain,(
% 1.88/0.65    v_n____=v_i____),
% 1.88/0.65    inference(cnf_transformation,[status(esa)],[f58])).
% 1.88/0.65  fof(f161,plain,(
% 1.88/0.65    c_InductTermi_OIT(v_u____)),
% 1.88/0.65    inference(cnf_transformation,[status(esa)],[f63])).
% 1.88/0.65  fof(f163,plain,(
% 1.88/0.65    c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_b____,v_Ua____)),
% 1.88/0.65    inference(cnf_transformation,[status(esa)],[f65])).
% 1.88/0.65  fof(f164,plain,(
% 1.88/0.65    ![V_ia,V_ea]: ((![V_ua]: ((c_InductTermi_OIT(c_Lambda_Osubst(v_b____,V_ua,V_ia))|~c_Type_Otyping(V_ea,V_ua,v_T____))|~c_InductTermi_OIT(V_ua)))|(![V_T_H]: ~c_Type_Otyping(c_Type_Oshift(V_ea,V_ia,v_T____,tc_Type_Otype),v_b____,V_T_H)))),
% 1.88/0.65    inference(miniscoping,[status(esa)],[f66])).
% 1.88/0.65  fof(f165,plain,(
% 1.88/0.65    ![X0,X1,X2,X3]: (c_InductTermi_OIT(c_Lambda_Osubst(v_b____,X0,X1))|~c_Type_Otyping(X2,X0,v_T____)|~c_InductTermi_OIT(X0)|~c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_b____,X3))),
% 1.88/0.65    inference(cnf_transformation,[status(esa)],[f164])).
% 1.88/0.65  fof(f167,plain,(
% 1.88/0.65    c_Type_Otyping(v_e____,v_u____,v_T____)),
% 1.88/0.65    inference(cnf_transformation,[status(esa)],[f68])).
% 1.88/0.65  fof(f168,plain,(
% 1.88/0.65    ~c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_i____))),
% 1.88/0.65    inference(cnf_transformation,[status(esa)],[f69])).
% 1.88/0.65  fof(f246,plain,(
% 1.88/0.65    ~c_InductTermi_OIT(c_Lambda_Osubst(v_b____,v_u____,v_n____))),
% 1.88/0.65    inference(backward_demodulation,[status(thm)],[f155,f168])).
% 1.88/0.65  fof(f2593,plain,(
% 1.88/0.65    c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_b____,v_Ua____)),
% 1.88/0.65    inference(forward_demodulation,[status(thm)],[f155,f163])).
% 1.88/0.65  fof(f2657,plain,(
% 1.88/0.65    spl0_95 <=> ~c_Type_Otyping(X0,v_u____,v_T____)|~c_Type_Otyping(c_Type_Oshift(X0,v_n____,v_T____,tc_Type_Otype),v_b____,X1)),
% 1.88/0.65    introduced(split_symbol_definition)).
% 1.88/0.65  fof(f2658,plain,(
% 1.88/0.65    ![X0,X1]: (~c_Type_Otyping(X0,v_u____,v_T____)|~c_Type_Otyping(c_Type_Oshift(X0,v_n____,v_T____,tc_Type_Otype),v_b____,X1)|~spl0_95)),
% 1.88/0.65    inference(component_clause,[status(thm)],[f2657])).
% 1.88/0.65  fof(f2660,plain,(
% 1.88/0.65    spl0_96 <=> c_InductTermi_OIT(v_u____)),
% 1.88/0.65    introduced(split_symbol_definition)).
% 1.88/0.65  fof(f2662,plain,(
% 1.88/0.65    ~c_InductTermi_OIT(v_u____)|spl0_96),
% 1.88/0.65    inference(component_clause,[status(thm)],[f2660])).
% 1.88/0.65  fof(f2663,plain,(
% 1.88/0.65    ![X0,X1]: (~c_Type_Otyping(X0,v_u____,v_T____)|~c_InductTermi_OIT(v_u____)|~c_Type_Otyping(c_Type_Oshift(X0,v_n____,v_T____,tc_Type_Otype),v_b____,X1))),
% 1.88/0.65    inference(resolution,[status(thm)],[f165,f246])).
% 1.88/0.65  fof(f2664,plain,(
% 1.88/0.65    spl0_95|~spl0_96),
% 1.88/0.65    inference(split_clause,[status(thm)],[f2663,f2657,f2660])).
% 1.88/0.65  fof(f2665,plain,(
% 1.88/0.65    $false|spl0_96),
% 1.88/0.65    inference(forward_subsumption_resolution,[status(thm)],[f2662,f161])).
% 1.88/0.65  fof(f2666,plain,(
% 1.88/0.65    spl0_96),
% 1.88/0.65    inference(contradiction_clause,[status(thm)],[f2665])).
% 1.88/0.65  fof(f2667,plain,(
% 1.88/0.65    ![X0]: (~c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_b____,X0)|~spl0_95)),
% 1.88/0.65    inference(resolution,[status(thm)],[f2658,f167])).
% 1.88/0.65  fof(f2668,plain,(
% 1.88/0.65    $false|~spl0_95),
% 1.88/0.65    inference(backward_subsumption_resolution,[status(thm)],[f2593,f2667])).
% 1.88/0.65  fof(f2669,plain,(
% 1.88/0.65    ~spl0_95),
% 1.88/0.65    inference(contradiction_clause,[status(thm)],[f2668])).
% 1.88/0.66  fof(f2670,plain,(
% 1.88/0.66    $false),
% 1.88/0.66    inference(sat_refutation,[status(thm)],[f2664,f2666,f2669])).
% 1.88/0.66  % SZS output end CNFRefutation for theBenchmark.p
% 1.88/0.69  % Elapsed time: 0.371591 seconds
% 1.88/0.69  % CPU time: 2.086134 seconds
% 1.88/0.69  % Memory used: 94.168 MB
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