↑ Up

Drodi-SAT---4.1.1.THM-Ass.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS179+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.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 01:00:23 PM UTC 2026

% Result   : Theorem 0.09s 0.38s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS179+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n019.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sun Sep 20 22:55:34 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.36  % Drodi V4.1.1
% 0.09/0.38  % Refutation found
% 0.09/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38  fof(f2,axiom,(
% 0.09/0.38    (! [S1,S2] :( (! [Ax,C] :( status(Ax,C,S1)=> status(Ax,C,S2) ))<=> isa(S1,S2) ) )),
% 0.09/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38  fof(f14,conjecture,(
% 0.09/0.38    (! [S1,S2,S3] :( ( isa(S1,S2)& isa(S2,S3) )=> isa(S1,S3) ) )),
% 0.09/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38  fof(f15,negated_conjecture,(
% 0.09/0.38    ~((! [S1,S2,S3] :( ( isa(S1,S2)& isa(S2,S3) )=> isa(S1,S3) ) ))),
% 0.09/0.38    inference(negated_conjecture,[status(cth)],[f14])).
% 0.09/0.38  fof(f22,plain,(
% 0.09/0.38    ![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))<=>isa(S1,S2))),
% 0.09/0.38    inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.38  fof(f23,plain,(
% 0.09/0.38    ![S1,S2]: (((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|isa(S1,S2))&((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 0.09/0.38    inference(NNF_transformation,[status(thm)],[f22])).
% 0.09/0.38  fof(f24,plain,(
% 0.09/0.38    (![S1,S2]: ((?[Ax,C]: (status(Ax,C,S1)&~status(Ax,C,S2)))|isa(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 0.09/0.38    inference(miniscoping,[status(thm)],[f23])).
% 0.09/0.38  fof(f25,plain,(
% 0.09/0.38    (![S1,S2]: ((status(sK2_skl(S2,S1),sK3_skl(S2,S1),S1)&~status(sK2_skl(S2,S1),sK3_skl(S2,S1),S2))|isa(S1,S2)))&(![S1,S2]: ((![Ax,C]: (~status(Ax,C,S1)|status(Ax,C,S2)))|~isa(S1,S2)))),
% 0.09/0.38    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(Ax,sK2_skl(S2,S1)),skolemize(C,sK3_skl(S2,S1))],[f24])).
% 0.09/0.38  fof(f26,plain,(
% 0.09/0.38    ![X0,X1]: (status(sK2_skl(X0,X1),sK3_skl(X0,X1),X1)|isa(X1,X0))),
% 0.09/0.38    inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.38  fof(f27,plain,(
% 0.09/0.38    ![X0,X1]: (~status(sK2_skl(X0,X1),sK3_skl(X0,X1),X0)|isa(X1,X0))),
% 0.09/0.38    inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.38  fof(f28,plain,(
% 0.09/0.38    ![X0,X1,X2,X3]: (~status(X0,X1,X2)|status(X0,X1,X3)|~isa(X2,X3))),
% 0.09/0.38    inference(cnf_transformation,[status(thm)],[f25])).
% 0.09/0.38  fof(f82,plain,(
% 0.09/0.38    (?[S1,S2,S3]: ((isa(S1,S2)&isa(S2,S3))&~isa(S1,S3)))),
% 0.09/0.38    inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.09/0.38  fof(f83,plain,(
% 0.09/0.38    ?[S1,S3]: ((?[S2]: (isa(S1,S2)&isa(S2,S3)))&~isa(S1,S3))),
% 0.09/0.38    inference(miniscoping,[status(thm)],[f82])).
% 0.09/0.38  fof(f84,plain,(
% 0.09/0.38    ((isa(sK29_skl,sK31_skl)&isa(sK31_skl,sK30_skl))&~isa(sK29_skl,sK30_skl))),
% 0.09/0.38    inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl,sK30_skl,sK31_skl]),skolemize(S1,sK29_skl),skolemize(S3,sK30_skl),skolemize(S2,sK31_skl)],[f83])).
% 0.09/0.38  fof(f85,plain,(
% 0.09/0.38    isa(sK29_skl,sK31_skl)),
% 0.09/0.38    inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.38  fof(f86,plain,(
% 0.09/0.38    isa(sK31_skl,sK30_skl)),
% 0.09/0.38    inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.38  fof(f87,plain,(
% 0.09/0.38    ~isa(sK29_skl,sK30_skl)),
% 0.09/0.38    inference(cnf_transformation,[status(thm)],[f84])).
% 0.09/0.38  fof(f92,plain,(
% 0.09/0.38    ![X0,X1,X2]: (isa(X0,X1)|status(sK2_skl(X1,X0),sK3_skl(X1,X0),X2)|~isa(X0,X2))),
% 0.09/0.38    inference(resolution,[status(thm)],[f26,f28])).
% 0.09/0.38  fof(f99,plain,(
% 0.09/0.38    ![X0]: (isa(sK29_skl,X0)|status(sK2_skl(X0,sK29_skl),sK3_skl(X0,sK29_skl),sK31_skl))),
% 0.09/0.38    inference(resolution,[status(thm)],[f92,f85])).
% 0.09/0.38  fof(f130,plain,(
% 0.09/0.38    ![X0,X1]: (isa(sK29_skl,X0)|status(sK2_skl(X0,sK29_skl),sK3_skl(X0,sK29_skl),X1)|~isa(sK31_skl,X1))),
% 0.09/0.38    inference(resolution,[status(thm)],[f99,f28])).
% 0.09/0.38  fof(f168,plain,(
% 0.09/0.38    ![X0]: (isa(sK29_skl,X0)|status(sK2_skl(X0,sK29_skl),sK3_skl(X0,sK29_skl),sK30_skl))),
% 0.09/0.38    inference(resolution,[status(thm)],[f130,f86])).
% 0.09/0.38  fof(f173,plain,(
% 0.09/0.38    isa(sK29_skl,sK30_skl)|isa(sK29_skl,sK30_skl)),
% 0.09/0.38    inference(resolution,[status(thm)],[f168,f27])).
% 0.09/0.38  fof(f190,definition,(
% 0.09/0.38    sQ15_spl <=> (isa(sK29_skl,sK30_skl))),
% 0.09/0.38    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.09/0.38  fof(f191,plain,(
% 0.09/0.38    isa(sK29_skl,sK30_skl)|~sQ15_spl),
% 0.09/0.38    inference(component_clause,[status(thm)],[f190])).
% 0.09/0.38  fof(f193,plain,(
% 0.09/0.38    sQ15_spl),
% 0.09/0.38    inference(split_clause,[status(thm)],[f173,f190])).
% 0.09/0.38  fof(f194,plain,(
% 0.09/0.38    $false|~sQ15_spl),
% 0.09/0.38    inference(forward_subsumption_resolution,[status(thm)],[f191,f87])).
% 0.09/0.38  fof(f195,plain,(
% 0.09/0.38    ~sQ15_spl),
% 0.09/0.38    inference(contradiction_clause,[status(thm)],[f194])).
% 0.09/0.38  fof(f196,plain,(
% 0.09/0.38    $false),
% 0.09/0.38    inference(sat_refutation,[status(thm)],[f193,f195])).
% 0.09/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41  % Elapsed time: 0.046287 seconds
% 0.13/0.41  % CPU time: 0.103013 seconds
% 0.13/0.41  % Total memory used: 17.928 MB
% 0.13/0.41  % Net memory used: 17.425 MB
%------------------------------------------------------------------------------