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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU047+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 02:21:37 PM UTC 2026

% Result   : Theorem 0.11s 0.41s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU047+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n005.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 05:47:50 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.38  % Drodi V4.1.1
% 0.11/0.41  % Refutation found
% 0.11/0.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.41  % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41  fof(f31,conjecture,(
% 0.11/0.41    (! [A,B,C] :( ( relation(C)& function(C) )=> ( subset(A,B)=> ( relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C)& relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ) ) ) )),
% 0.11/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41  fof(f32,negated_conjecture,(
% 0.11/0.41    ~((! [A,B,C] :( ( relation(C)& function(C) )=> ( subset(A,B)=> ( relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C)& relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ) ) ) ))),
% 0.11/0.41    inference(negated_conjecture,[status(cth)],[f31])).
% 0.11/0.41  fof(f33,axiom,(
% 0.11/0.41    (! [A,B,C] :( relation(C)=> ( subset(A,B)=> relation_rng_restriction(B,relation_rng_restriction(A,C)) = relation_rng_restriction(A,C) ) ) )),
% 0.11/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41  fof(f34,axiom,(
% 0.11/0.41    (! [A,B,C] :( relation(C)=> ( subset(A,B)=> relation_rng_restriction(A,relation_rng_restriction(B,C)) = relation_rng_restriction(A,C) ) ) )),
% 0.11/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.41  fof(f116,plain,(
% 0.11/0.41    (?[A,B,C]: ((relation(C)&function(C))&(subset(A,B)&(~relation_rng_restriction(B,relation_rng_restriction(A,C))=relation_rng_restriction(A,C)|~relation_rng_restriction(A,relation_rng_restriction(B,C))=relation_rng_restriction(A,C)))))),
% 0.11/0.41    inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.11/0.41  fof(f117,plain,(
% 0.11/0.41    ?[C]: ((relation(C)&function(C))&(?[A,B]: (subset(A,B)&(~relation_rng_restriction(B,relation_rng_restriction(A,C))=relation_rng_restriction(A,C)|~relation_rng_restriction(A,relation_rng_restriction(B,C))=relation_rng_restriction(A,C)))))),
% 0.11/0.41    inference(miniscoping,[status(thm)],[f116])).
% 0.11/0.41  fof(f118,plain,(
% 0.11/0.41    ((relation(sK11_skl)&function(sK11_skl))&(subset(sK12_skl,sK13_skl)&(~relation_rng_restriction(sK13_skl,relation_rng_restriction(sK12_skl,sK11_skl))=relation_rng_restriction(sK12_skl,sK11_skl)|~relation_rng_restriction(sK12_skl,relation_rng_restriction(sK13_skl,sK11_skl))=relation_rng_restriction(sK12_skl,sK11_skl))))),
% 0.11/0.41    inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(C,sK11_skl),skolemize(A,sK12_skl),skolemize(B,sK13_skl)],[f117])).
% 0.11/0.41  fof(f119,plain,(
% 0.11/0.41    relation(sK11_skl)),
% 0.11/0.41    inference(cnf_transformation,[status(thm)],[f118])).
% 0.11/0.41  fof(f121,plain,(
% 0.11/0.41    subset(sK12_skl,sK13_skl)),
% 0.11/0.41    inference(cnf_transformation,[status(thm)],[f118])).
% 0.11/0.41  fof(f122,plain,(
% 0.11/0.41    ~relation_rng_restriction(sK13_skl,relation_rng_restriction(sK12_skl,sK11_skl))=relation_rng_restriction(sK12_skl,sK11_skl)|~relation_rng_restriction(sK12_skl,relation_rng_restriction(sK13_skl,sK11_skl))=relation_rng_restriction(sK12_skl,sK11_skl)),
% 0.11/0.41    inference(cnf_transformation,[status(thm)],[f118])).
% 0.11/0.41  fof(f123,plain,(
% 0.11/0.41    ![A,B,C]: (~relation(C)|(~subset(A,B)|relation_rng_restriction(B,relation_rng_restriction(A,C))=relation_rng_restriction(A,C)))),
% 0.11/0.41    inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.11/0.41  fof(f124,plain,(
% 0.11/0.41    ![C]: (~relation(C)|(![A,B]: (~subset(A,B)|relation_rng_restriction(B,relation_rng_restriction(A,C))=relation_rng_restriction(A,C))))),
% 0.11/0.41    inference(miniscoping,[status(thm)],[f123])).
% 0.11/0.41  fof(f125,plain,(
% 0.11/0.41    ![X0,X1,X2]: (~relation(X0)|~subset(X1,X2)|relation_rng_restriction(X2,relation_rng_restriction(X1,X0))=relation_rng_restriction(X1,X0))),
% 0.11/0.41    inference(cnf_transformation,[status(thm)],[f124])).
% 0.11/0.41  fof(f126,plain,(
% 0.11/0.41    ![A,B,C]: (~relation(C)|(~subset(A,B)|relation_rng_restriction(A,relation_rng_restriction(B,C))=relation_rng_restriction(A,C)))),
% 0.11/0.41    inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.11/0.41  fof(f127,plain,(
% 0.11/0.41    ![C]: (~relation(C)|(![A,B]: (~subset(A,B)|relation_rng_restriction(A,relation_rng_restriction(B,C))=relation_rng_restriction(A,C))))),
% 0.11/0.41    inference(miniscoping,[status(thm)],[f126])).
% 0.11/0.41  fof(f128,plain,(
% 0.11/0.41    ![X0,X1,X2]: (~relation(X0)|~subset(X1,X2)|relation_rng_restriction(X1,relation_rng_restriction(X2,X0))=relation_rng_restriction(X1,X0))),
% 0.11/0.41    inference(cnf_transformation,[status(thm)],[f127])).
% 0.11/0.41  fof(f133,plain,(
% 0.11/0.41    ![X0,X1]: (~subset(X0,X1)|relation_rng_restriction(X1,relation_rng_restriction(X0,sK11_skl))=relation_rng_restriction(X0,sK11_skl))),
% 0.11/0.41    inference(resolution,[status(thm)],[f125,f119])).
% 0.11/0.41  fof(f135,plain,(
% 0.11/0.41    ![X0,X1]: (~subset(X0,X1)|relation_rng_restriction(X0,relation_rng_restriction(X1,sK11_skl))=relation_rng_restriction(X0,sK11_skl))),
% 0.11/0.41    inference(resolution,[status(thm)],[f128,f119])).
% 0.11/0.41  fof(f159,plain,(
% 0.11/0.41    relation_rng_restriction(sK13_skl,relation_rng_restriction(sK12_skl,sK11_skl))=relation_rng_restriction(sK12_skl,sK11_skl)),
% 0.11/0.41    inference(resolution,[status(thm)],[f133,f121])).
% 0.11/0.41  fof(f161,plain,(
% 0.11/0.41    ~relation_rng_restriction(sK12_skl,sK11_skl)=relation_rng_restriction(sK12_skl,sK11_skl)|~relation_rng_restriction(sK12_skl,relation_rng_restriction(sK13_skl,sK11_skl))=relation_rng_restriction(sK12_skl,sK11_skl)),
% 0.11/0.41    inference(backward_demodulation,[status(thm)],[f159,f122])).
% 0.11/0.41  fof(f162,plain,(
% 0.11/0.41    ~relation_rng_restriction(sK12_skl,relation_rng_restriction(sK13_skl,sK11_skl))=relation_rng_restriction(sK12_skl,sK11_skl)),
% 0.11/0.41    inference(trivial_equality_resolution,[status(thm)],[f161])).
% 0.11/0.41  fof(f167,plain,(
% 0.11/0.41    relation_rng_restriction(sK12_skl,relation_rng_restriction(sK13_skl,sK11_skl))=relation_rng_restriction(sK12_skl,sK11_skl)),
% 0.11/0.41    inference(resolution,[status(thm)],[f135,f121])).
% 0.11/0.41  fof(f169,plain,(
% 0.11/0.41    $false),
% 0.11/0.41    inference(forward_subsumption_resolution,[status(thm)],[f167,f162])).
% 0.11/0.41  % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.44  % Elapsed time: 0.055153 seconds
% 0.11/0.44  % CPU time: 0.150625 seconds
% 0.11/0.44  % Total memory used: 81.381 MB
% 0.11/0.44  % Net memory used: 81.347 MB
%------------------------------------------------------------------------------