TSTP Solution File: SWC082-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWC082-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 12:39:10 EDT 2023

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC082-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 11:23:27 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35  fof(f57,axiom,(
% 0.13/0.35    (![U]: (( ~ ssList(U)| segmentP(U,U) ) ))),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f152,axiom,(
% 0.13/0.35    (![U,V,W]: (( ~ segmentP(U,V)| ~ segmentP(V,W)| ~ ssList(W)| ~ ssList(V)| ~ ssList(U)| segmentP(U,W) ) ))),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f186,negated_conjecture,(
% 0.13/0.35    ssList(sk1) ),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f187,negated_conjecture,(
% 0.13/0.35    ssList(sk2) ),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f190,negated_conjecture,(
% 0.13/0.35    sk2 = sk4 ),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f191,negated_conjecture,(
% 0.13/0.35    sk1 = sk3 ),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f192,negated_conjecture,(
% 0.13/0.35    neq(sk2,nil) ),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f193,negated_conjecture,(
% 0.13/0.35    (![A]: (( ~ ssList(A)| ~ neq(A,nil)| ~ segmentP(sk2,A)| ~ segmentP(sk1,A) ) ))),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f195,negated_conjecture,(
% 0.13/0.35    ( ssList(sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f196,negated_conjecture,(
% 0.13/0.35    ( neq(sk5,nil)| ~ neq(sk4,nil) ) ),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f197,negated_conjecture,(
% 0.13/0.35    ( segmentP(sk4,sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f198,negated_conjecture,(
% 0.13/0.35    ( segmentP(sk3,sk5)| ~ neq(sk4,nil) ) ),
% 0.13/0.35    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35  fof(f255,plain,(
% 0.13/0.35    ![X0]: (~ssList(X0)|segmentP(X0,X0))),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f57])).
% 0.13/0.35  fof(f372,plain,(
% 0.13/0.35    ![U,W]: (((![V]: (((~segmentP(U,V)|~segmentP(V,W))|~ssList(W))|~ssList(V)))|~ssList(U))|segmentP(U,W))),
% 0.13/0.35    inference(miniscoping,[status(esa)],[f152])).
% 0.13/0.35  fof(f373,plain,(
% 0.13/0.35    ![X0,X1,X2]: (~segmentP(X0,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)|~ssList(X0)|segmentP(X0,X2))),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f372])).
% 0.13/0.35  fof(f429,plain,(
% 0.13/0.35    ssList(sk1)),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f186])).
% 0.13/0.35  fof(f430,plain,(
% 0.13/0.35    ssList(sk2)),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f187])).
% 0.13/0.35  fof(f433,plain,(
% 0.13/0.35    sk2=sk4),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f190])).
% 0.13/0.35  fof(f434,plain,(
% 0.13/0.35    sk1=sk3),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f191])).
% 0.13/0.35  fof(f435,plain,(
% 0.13/0.35    neq(sk2,nil)),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f192])).
% 0.13/0.35  fof(f436,plain,(
% 0.13/0.35    ![X0]: (~ssList(X0)|~neq(X0,nil)|~segmentP(sk2,X0)|~segmentP(sk1,X0))),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f193])).
% 0.13/0.35  fof(f438,plain,(
% 0.13/0.35    ssList(sk5)|~neq(sk4,nil)),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f195])).
% 0.13/0.35  fof(f439,plain,(
% 0.13/0.35    neq(sk5,nil)|~neq(sk4,nil)),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f196])).
% 0.13/0.35  fof(f440,plain,(
% 0.13/0.35    segmentP(sk4,sk5)|~neq(sk4,nil)),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f197])).
% 0.13/0.35  fof(f441,plain,(
% 0.13/0.35    segmentP(sk3,sk5)|~neq(sk4,nil)),
% 0.13/0.35    inference(cnf_transformation,[status(esa)],[f198])).
% 0.13/0.35  fof(f456,plain,(
% 0.13/0.35    spl0_4 <=> ssList(sk5)),
% 0.13/0.35    introduced(split_symbol_definition)).
% 0.13/0.35  fof(f459,plain,(
% 0.13/0.35    spl0_5 <=> neq(sk4,nil)),
% 0.13/0.35    introduced(split_symbol_definition)).
% 0.13/0.35  fof(f461,plain,(
% 0.13/0.35    ~neq(sk4,nil)|spl0_5),
% 0.13/0.35    inference(component_clause,[status(thm)],[f459])).
% 0.13/0.35  fof(f462,plain,(
% 0.13/0.35    spl0_4|~spl0_5),
% 0.13/0.35    inference(split_clause,[status(thm)],[f438,f456,f459])).
% 0.13/0.35  fof(f463,plain,(
% 0.13/0.35    spl0_6 <=> neq(sk5,nil)),
% 0.13/0.35    introduced(split_symbol_definition)).
% 0.13/0.35  fof(f464,plain,(
% 0.13/0.35    neq(sk5,nil)|~spl0_6),
% 0.13/0.35    inference(component_clause,[status(thm)],[f463])).
% 0.13/0.35  fof(f466,plain,(
% 0.13/0.35    spl0_6|~spl0_5),
% 0.13/0.35    inference(split_clause,[status(thm)],[f439,f463,f459])).
% 0.13/0.35  fof(f467,plain,(
% 0.13/0.35    spl0_7 <=> segmentP(sk4,sk5)),
% 0.13/0.35    introduced(split_symbol_definition)).
% 0.13/0.35  fof(f468,plain,(
% 0.13/0.35    segmentP(sk4,sk5)|~spl0_7),
% 0.13/0.35    inference(component_clause,[status(thm)],[f467])).
% 0.13/0.35  fof(f470,plain,(
% 0.13/0.35    spl0_7|~spl0_5),
% 0.13/0.35    inference(split_clause,[status(thm)],[f440,f467,f459])).
% 0.13/0.35  fof(f471,plain,(
% 0.13/0.35    spl0_8 <=> segmentP(sk3,sk5)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f472,plain,(
% 0.13/0.37    segmentP(sk3,sk5)|~spl0_8),
% 0.13/0.37    inference(component_clause,[status(thm)],[f471])).
% 0.13/0.37  fof(f474,plain,(
% 0.13/0.37    spl0_8|~spl0_5),
% 0.13/0.37    inference(split_clause,[status(thm)],[f441,f471,f459])).
% 0.13/0.37  fof(f531,plain,(
% 0.13/0.37    ~neq(sk2,nil)|spl0_5),
% 0.13/0.37    inference(forward_demodulation,[status(thm)],[f433,f461])).
% 0.13/0.37  fof(f532,plain,(
% 0.13/0.37    $false|spl0_5),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f531,f435])).
% 0.13/0.37  fof(f533,plain,(
% 0.13/0.37    spl0_5),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f532])).
% 0.13/0.37  fof(f534,plain,(
% 0.13/0.37    segmentP(sk2,sk5)|~spl0_7),
% 0.13/0.37    inference(forward_demodulation,[status(thm)],[f433,f468])).
% 0.13/0.37  fof(f535,plain,(
% 0.13/0.37    segmentP(sk1,sk5)|~spl0_8),
% 0.13/0.37    inference(forward_demodulation,[status(thm)],[f434,f472])).
% 0.13/0.37  fof(f537,plain,(
% 0.13/0.37    spl0_13 <=> ~segmentP(X0,sk2)|~ssList(X0)|segmentP(X0,sk5)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f538,plain,(
% 0.13/0.37    ![X0]: (~segmentP(X0,sk2)|~ssList(X0)|segmentP(X0,sk5)|~spl0_13)),
% 0.13/0.37    inference(component_clause,[status(thm)],[f537])).
% 0.13/0.37  fof(f540,plain,(
% 0.13/0.37    spl0_14 <=> ssList(sk2)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f542,plain,(
% 0.13/0.37    ~ssList(sk2)|spl0_14),
% 0.13/0.37    inference(component_clause,[status(thm)],[f540])).
% 0.13/0.37  fof(f543,plain,(
% 0.13/0.37    ![X0]: (~segmentP(X0,sk2)|~ssList(sk5)|~ssList(sk2)|~ssList(X0)|segmentP(X0,sk5)|~spl0_7)),
% 0.13/0.37    inference(resolution,[status(thm)],[f534,f373])).
% 0.13/0.37  fof(f544,plain,(
% 0.13/0.37    spl0_13|~spl0_4|~spl0_14|~spl0_7),
% 0.13/0.37    inference(split_clause,[status(thm)],[f543,f537,f456,f540,f467])).
% 0.13/0.37  fof(f553,plain,(
% 0.13/0.37    $false|spl0_14),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f542,f430])).
% 0.13/0.37  fof(f554,plain,(
% 0.13/0.37    spl0_14),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f553])).
% 0.13/0.37  fof(f555,plain,(
% 0.13/0.37    spl0_17 <=> ~segmentP(X0,sk1)|~ssList(X0)|segmentP(X0,sk5)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f556,plain,(
% 0.13/0.37    ![X0]: (~segmentP(X0,sk1)|~ssList(X0)|segmentP(X0,sk5)|~spl0_17)),
% 0.13/0.37    inference(component_clause,[status(thm)],[f555])).
% 0.13/0.37  fof(f558,plain,(
% 0.13/0.37    spl0_18 <=> ssList(sk1)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f560,plain,(
% 0.13/0.37    ~ssList(sk1)|spl0_18),
% 0.13/0.37    inference(component_clause,[status(thm)],[f558])).
% 0.13/0.37  fof(f561,plain,(
% 0.13/0.37    ![X0]: (~segmentP(X0,sk1)|~ssList(sk5)|~ssList(sk1)|~ssList(X0)|segmentP(X0,sk5)|~spl0_8)),
% 0.13/0.37    inference(resolution,[status(thm)],[f535,f373])).
% 0.13/0.37  fof(f562,plain,(
% 0.13/0.37    spl0_17|~spl0_4|~spl0_18|~spl0_8),
% 0.13/0.37    inference(split_clause,[status(thm)],[f561,f555,f456,f558,f471])).
% 0.13/0.37  fof(f571,plain,(
% 0.13/0.37    $false|spl0_18),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f560,f429])).
% 0.13/0.37  fof(f572,plain,(
% 0.13/0.37    spl0_18),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f571])).
% 0.13/0.37  fof(f573,plain,(
% 0.13/0.37    spl0_21 <=> segmentP(sk2,sk5)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f576,plain,(
% 0.13/0.37    ~ssList(sk2)|segmentP(sk2,sk5)|~ssList(sk2)|~spl0_13),
% 0.13/0.37    inference(resolution,[status(thm)],[f538,f255])).
% 0.13/0.37  fof(f577,plain,(
% 0.13/0.37    ~spl0_14|spl0_21|~spl0_13),
% 0.13/0.37    inference(split_clause,[status(thm)],[f576,f540,f573,f537])).
% 0.13/0.37  fof(f578,plain,(
% 0.13/0.37    spl0_22 <=> segmentP(sk1,sk5)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f581,plain,(
% 0.13/0.37    ~ssList(sk1)|segmentP(sk1,sk5)|~ssList(sk1)|~spl0_17),
% 0.13/0.37    inference(resolution,[status(thm)],[f556,f255])).
% 0.13/0.37  fof(f582,plain,(
% 0.13/0.37    ~spl0_18|spl0_22|~spl0_17),
% 0.13/0.37    inference(split_clause,[status(thm)],[f581,f558,f578,f555])).
% 0.13/0.37  fof(f591,plain,(
% 0.13/0.37    ~ssList(sk5)|~segmentP(sk2,sk5)|~segmentP(sk1,sk5)|~spl0_6),
% 0.13/0.37    inference(resolution,[status(thm)],[f436,f464])).
% 0.13/0.37  fof(f592,plain,(
% 0.13/0.37    ~spl0_4|~spl0_21|~spl0_22|~spl0_6),
% 0.13/0.37    inference(split_clause,[status(thm)],[f591,f456,f573,f578,f463])).
% 0.13/0.37  fof(f614,plain,(
% 0.13/0.37    $false),
% 0.13/0.37    inference(sat_refutation,[status(thm)],[f462,f466,f470,f474,f533,f544,f554,f562,f572,f577,f582,f592])).
% 0.13/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37  % Elapsed time: 0.029652 seconds
% 0.13/0.37  % CPU time: 0.048586 seconds
% 0.13/0.37  % Memory used: 16.031 MB
%------------------------------------------------------------------------------