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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n011.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 02:22:27 PM UTC 2026

% Result   : Theorem 0.09s 0.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n011.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 06:16:40 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.09/0.39  % Refutation found
% 0.09/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39  fof(f6,axiom,(
% 0.09/0.39    (! [A] :( rel_str(A)=> (! [B] :( rel_str(B)=> ( subrelstr(B,A)<=> ( subset(the_carrier(B),the_carrier(A))& subset(the_InternalRel(B),the_InternalRel(A)) ) ) ) )) )),
% 0.09/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39  fof(f7,axiom,(
% 0.09/0.39    (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> (! [C] :( net_str(C,A)=> ( subnetstr(C,A,B)<=> ( subrelstr(C,B)& the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)) ) ) ) )) )) )),
% 0.09/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39  fof(f15,axiom,(
% 0.09/0.39    (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> rel_str(B) ) )) )),
% 0.09/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39  fof(f19,axiom,(
% 0.09/0.39    (! [A,B] :( ( one_sorted_str(A)& net_str(B,A) )=> (! [C] :( subnetstr(C,A,B)=> net_str(C,A) ) )) )),
% 0.09/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39  fof(f51,conjecture,(
% 0.09/0.39    (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> (! [C] :( subnetstr(C,A,B)=> subset(the_carrier(C),the_carrier(B)) ) )) )) )),
% 0.09/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39  fof(f52,negated_conjecture,(
% 0.09/0.39    ~((! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> (! [C] :( subnetstr(C,A,B)=> subset(the_carrier(C),the_carrier(B)) ) )) )) ))),
% 0.09/0.39    inference(negated_conjecture,[status(cth)],[f51])).
% 0.09/0.39  fof(f74,plain,(
% 0.09/0.39    ![A]: (~rel_str(A)|(![B]: (~rel_str(B)|(subrelstr(B,A)<=>(subset(the_carrier(B),the_carrier(A))&subset(the_InternalRel(B),the_InternalRel(A)))))))),
% 0.09/0.39    inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.09/0.39  fof(f75,plain,(
% 0.09/0.39    ![A]: (~rel_str(A)|(![B]: (~rel_str(B)|((~subrelstr(B,A)|(subset(the_carrier(B),the_carrier(A))&subset(the_InternalRel(B),the_InternalRel(A))))&(subrelstr(B,A)|(~subset(the_carrier(B),the_carrier(A))|~subset(the_InternalRel(B),the_InternalRel(A))))))))),
% 0.09/0.39    inference(NNF_transformation,[status(thm)],[f74])).
% 0.09/0.39  fof(f76,plain,(
% 0.09/0.39    ![X0,X1]: (~rel_str(X0)|~rel_str(X1)|~subrelstr(X1,X0)|subset(the_carrier(X1),the_carrier(X0)))),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f75])).
% 0.09/0.39  fof(f79,plain,(
% 0.09/0.39    ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|(![C]: (~net_str(C,A)|(subnetstr(C,A,B)<=>(subrelstr(C,B)&the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)))))))))),
% 0.09/0.39    inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.09/0.39  fof(f80,plain,(
% 0.09/0.39    ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|(![C]: (~net_str(C,A)|((~subnetstr(C,A,B)|(subrelstr(C,B)&the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))))&(subnetstr(C,A,B)|(~subrelstr(C,B)|~the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))))))))))),
% 0.09/0.39    inference(NNF_transformation,[status(thm)],[f79])).
% 0.09/0.39  fof(f81,plain,(
% 0.09/0.39    ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~net_str(X2,X0)|~subnetstr(X2,X0,X1)|subrelstr(X2,X1))),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f80])).
% 0.09/0.39  fof(f92,plain,(
% 0.09/0.39    ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|rel_str(B))))),
% 0.09/0.39    inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.09/0.39  fof(f93,plain,(
% 0.09/0.39    ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|rel_str(X1))),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f92])).
% 0.09/0.39  fof(f96,plain,(
% 0.09/0.39    ![A,B]: ((~one_sorted_str(A)|~net_str(B,A))|(![C]: (~subnetstr(C,A,B)|net_str(C,A))))),
% 0.09/0.39    inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.09/0.39  fof(f97,plain,(
% 0.09/0.39    ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~subnetstr(X2,X0,X1)|net_str(X2,X0))),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f96])).
% 0.09/0.39  fof(f185,plain,(
% 0.09/0.39    (?[A]: (one_sorted_str(A)&(?[B]: (net_str(B,A)&(?[C]: (subnetstr(C,A,B)&~subset(the_carrier(C),the_carrier(B))))))))),
% 0.09/0.39    inference(pre_NNF_transformation,[status(thm)],[f52])).
% 0.09/0.39  fof(f186,plain,(
% 0.09/0.39    (one_sorted_str(sK18_skl)&(net_str(sK19_skl,sK18_skl)&(subnetstr(sK20_skl,sK18_skl,sK19_skl)&~subset(the_carrier(sK20_skl),the_carrier(sK19_skl)))))),
% 0.09/0.39    inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl,sK19_skl,sK20_skl]),skolemize(A,sK18_skl),skolemize(B,sK19_skl),skolemize(C,sK20_skl)],[f185])).
% 0.09/0.39  fof(f187,plain,(
% 0.09/0.39    one_sorted_str(sK18_skl)),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f186])).
% 0.09/0.39  fof(f188,plain,(
% 0.09/0.39    net_str(sK19_skl,sK18_skl)),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f186])).
% 0.09/0.39  fof(f189,plain,(
% 0.09/0.39    subnetstr(sK20_skl,sK18_skl,sK19_skl)),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f186])).
% 0.09/0.39  fof(f190,plain,(
% 0.09/0.39    ~subset(the_carrier(sK20_skl),the_carrier(sK19_skl))),
% 0.09/0.39    inference(cnf_transformation,[status(thm)],[f186])).
% 0.09/0.39  fof(f213,plain,(
% 0.09/0.39    ~one_sorted_str(sK18_skl)|~net_str(sK19_skl,sK18_skl)|~net_str(sK20_skl,sK18_skl)|subrelstr(sK20_skl,sK19_skl)),
% 0.09/0.39    inference(resolution,[status(thm)],[f81,f189])).
% 0.09/0.39  fof(f214,plain,(
% 0.09/0.39    ~net_str(sK19_skl,sK18_skl)|~net_str(sK20_skl,sK18_skl)|subrelstr(sK20_skl,sK19_skl)),
% 0.09/0.39    inference(forward_subsumption_resolution,[status(thm)],[f213,f187])).
% 0.09/0.39  fof(f215,plain,(
% 0.09/0.39    ~one_sorted_str(sK18_skl)|rel_str(sK19_skl)),
% 0.09/0.39    inference(resolution,[status(thm)],[f93,f188])).
% 0.09/0.39  fof(f216,plain,(
% 0.09/0.39    rel_str(sK19_skl)),
% 0.09/0.39    inference(forward_subsumption_resolution,[status(thm)],[f215,f187])).
% 0.09/0.39  fof(f218,plain,(
% 0.09/0.39    ~one_sorted_str(sK18_skl)|~net_str(sK19_skl,sK18_skl)|net_str(sK20_skl,sK18_skl)),
% 0.09/0.39    inference(resolution,[status(thm)],[f97,f189])).
% 0.09/0.39  fof(f219,plain,(
% 0.09/0.39    ~net_str(sK19_skl,sK18_skl)|net_str(sK20_skl,sK18_skl)),
% 0.09/0.39    inference(forward_subsumption_resolution,[status(thm)],[f218,f187])).
% 0.09/0.39  fof(f225,plain,(
% 0.09/0.39    ~net_str(sK20_skl,sK18_skl)|subrelstr(sK20_skl,sK19_skl)),
% 0.09/0.39    inference(forward_subsumption_resolution,[status(thm)],[f214,f188])).
% 0.09/0.39  fof(f226,plain,(
% 0.09/0.39    subrelstr(sK20_skl,sK19_skl)),
% 0.09/0.39    inference(backward_subsumption_resolution,[status(thm)],[f225,f227])).
% 0.09/0.39  fof(f227,plain,(
% 0.09/0.39    net_str(sK20_skl,sK18_skl)),
% 0.09/0.39    inference(forward_subsumption_resolution,[status(thm)],[f219,f188])).
% 0.09/0.39  fof(f228,plain,(
% 0.09/0.39    ~one_sorted_str(sK18_skl)|rel_str(sK20_skl)),
% 0.09/0.39    inference(resolution,[status(thm)],[f227,f93])).
% 0.09/0.39  fof(f229,plain,(
% 0.09/0.39    rel_str(sK20_skl)),
% 0.09/0.39    inference(forward_subsumption_resolution,[status(thm)],[f228,f187])).
% 0.09/0.39  fof(f233,plain,(
% 0.09/0.39    ~rel_str(sK19_skl)|~rel_str(sK20_skl)|subset(the_carrier(sK20_skl),the_carrier(sK19_skl))),
% 0.09/0.39    inference(resolution,[status(thm)],[f226,f76])).
% 0.09/0.39  fof(f234,plain,(
% 0.09/0.39    ~rel_str(sK20_skl)|subset(the_carrier(sK20_skl),the_carrier(sK19_skl))),
% 0.09/0.39    inference(forward_subsumption_resolution,[status(thm)],[f233,f216])).
% 0.09/0.39  fof(f255,plain,(
% 0.09/0.39    subset(the_carrier(sK20_skl),the_carrier(sK19_skl))),
% 0.09/0.39    inference(forward_subsumption_resolution,[status(thm)],[f234,f229])).
% 0.09/0.39  fof(f256,plain,(
% 0.09/0.39    $false),
% 0.09/0.39    inference(backward_subsumption_resolution,[status(thm)],[f190,f255])).
% 0.09/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.41  % Elapsed time: 0.047208 seconds
% 0.09/0.41  % CPU time: 0.133711 seconds
% 0.09/0.41  % Total memory used: 75.214 MB
% 0.09/0.41  % Net memory used: 75.182 MB
%------------------------------------------------------------------------------