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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWV171+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n002.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 02:50:10 PM UTC 2026

% Result   : Theorem 0.14s 0.43s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV171+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n002.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 08:36:16 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.14/0.38  % Drodi V4.1.1
% 0.14/0.43  % Refutation found
% 0.14/0.43  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.43  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.43  fof(f53,conjecture,(
% 0.14/0.43    ( ( leq(n0,pv10)& leq(n0,pv52)& leq(n0,pv54)& leq(pv10,n135299)& leq(pv52,n4)& leq(pv54,n4)& (! [A] :( ( leq(n0,A)& leq(A,n135299) )=> (! [B] :( ( leq(n0,B)& leq(B,n4) )=> a_select3(q_init,A,B) = init ) )))& (! [C] :( ( leq(n0,C)& leq(C,n4) )=> a_select2(rho_init,C) = init ))& (! [D] :( ( leq(n0,D)& leq(D,n4) )=> a_select2(mu_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,n4) )=> a_select2(sigma_init,E) = init ))& (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select3(center_init,F,n0) = init ))& ( gt(loopcounter,n1)=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(muold_init,G) = init ) ))& ( gt(loopcounter,n1)=> (! [H] :( ( leq(n0,H)& leq(H,n4) )=> a_select2(rhoold_init,H) = init ) ))& ( gt(loopcounter,n1)=> (! [I] :( ( leq(n0,I)& leq(I,n4) )=> a_select2(sigmaold_init,I) = init ) )) )=> a_select2(sigma_init,pv52) = init ) ),
% 0.14/0.43    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43  fof(f54,negated_conjecture,(
% 0.14/0.43    ~(( ( leq(n0,pv10)& leq(n0,pv52)& leq(n0,pv54)& leq(pv10,n135299)& leq(pv52,n4)& leq(pv54,n4)& (! [A] :( ( leq(n0,A)& leq(A,n135299) )=> (! [B] :( ( leq(n0,B)& leq(B,n4) )=> a_select3(q_init,A,B) = init ) )))& (! [C] :( ( leq(n0,C)& leq(C,n4) )=> a_select2(rho_init,C) = init ))& (! [D] :( ( leq(n0,D)& leq(D,n4) )=> a_select2(mu_init,D) = init ))& (! [E] :( ( leq(n0,E)& leq(E,n4) )=> a_select2(sigma_init,E) = init ))& (! [F] :( ( leq(n0,F)& leq(F,n4) )=> a_select3(center_init,F,n0) = init ))& ( gt(loopcounter,n1)=> (! [G] :( ( leq(n0,G)& leq(G,n4) )=> a_select2(muold_init,G) = init ) ))& ( gt(loopcounter,n1)=> (! [H] :( ( leq(n0,H)& leq(H,n4) )=> a_select2(rhoold_init,H) = init ) ))& ( gt(loopcounter,n1)=> (! [I] :( ( leq(n0,I)& leq(I,n4) )=> a_select2(sigmaold_init,I) = init ) )) )=> a_select2(sigma_init,pv52) = init ) )),
% 0.14/0.43    inference(negated_conjecture,[status(cth)],[f53])).
% 0.14/0.43  fof(f251,plain,(
% 0.14/0.43    ((((((((((((((leq(n0,pv10)&leq(n0,pv52))&leq(n0,pv54))&leq(pv10,n135299))&leq(pv52,n4))&leq(pv54,n4))&(![A]: ((~leq(n0,A)|~leq(A,n135299))|(![B]: ((~leq(n0,B)|~leq(B,n4))|a_select3(q_init,A,B)=init)))))&(![C]: ((~leq(n0,C)|~leq(C,n4))|a_select2(rho_init,C)=init)))&(![D]: ((~leq(n0,D)|~leq(D,n4))|a_select2(mu_init,D)=init)))&(![E]: ((~leq(n0,E)|~leq(E,n4))|a_select2(sigma_init,E)=init)))&(![F]: ((~leq(n0,F)|~leq(F,n4))|a_select3(center_init,F,n0)=init)))&(~gt(loopcounter,n1)|(![G]: ((~leq(n0,G)|~leq(G,n4))|a_select2(muold_init,G)=init))))&(~gt(loopcounter,n1)|(![H]: ((~leq(n0,H)|~leq(H,n4))|a_select2(rhoold_init,H)=init))))&(~gt(loopcounter,n1)|(![I]: ((~leq(n0,I)|~leq(I,n4))|a_select2(sigmaold_init,I)=init))))&~a_select2(sigma_init,pv52)=init)),
% 0.14/0.43    inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.14/0.43  fof(f253,plain,(
% 0.14/0.43    leq(n0,pv52)),
% 0.14/0.43    inference(cnf_transformation,[status(thm)],[f251])).
% 0.14/0.43  fof(f256,plain,(
% 0.14/0.43    leq(pv52,n4)),
% 0.14/0.43    inference(cnf_transformation,[status(thm)],[f251])).
% 0.14/0.43  fof(f261,plain,(
% 0.14/0.43    ![X0]: (~leq(n0,X0)|~leq(X0,n4)|a_select2(sigma_init,X0)=init)),
% 0.14/0.43    inference(cnf_transformation,[status(thm)],[f251])).
% 0.14/0.43  fof(f266,plain,(
% 0.14/0.43    ~a_select2(sigma_init,pv52)=init),
% 0.14/0.43    inference(cnf_transformation,[status(thm)],[f251])).
% 0.14/0.43  fof(f826,plain,(
% 0.14/0.43    ~leq(pv52,n4)|a_select2(sigma_init,pv52)=init),
% 0.14/0.43    inference(resolution,[status(thm)],[f253,f261])).
% 0.14/0.43  fof(f836,definition,(
% 0.14/0.43    sQ43_spl <=> (leq(pv52,n4))),
% 0.14/0.43    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.14/0.43  fof(f838,plain,(
% 0.14/0.43    ~leq(pv52,n4)|sQ43_spl),
% 0.14/0.43    inference(component_clause,[status(thm)],[f836])).
% 0.14/0.43  fof(f858,definition,(
% 0.14/0.43    sQ49_spl <=> (a_select2(sigma_init,pv52)=init)),
% 0.14/0.43    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/0.43  fof(f859,plain,(
% 0.14/0.43    a_select2(sigma_init,pv52)=init|~sQ49_spl),
% 0.14/0.43    inference(component_clause,[status(thm)],[f858])).
% 0.14/0.43  fof(f861,plain,(
% 0.14/0.43    ~sQ43_spl|sQ49_spl),
% 0.14/0.43    inference(split_clause,[status(thm)],[f826,f836,f858])).
% 0.14/0.43  fof(f863,plain,(
% 0.14/0.43    $false|sQ43_spl),
% 0.14/0.43    inference(forward_subsumption_resolution,[status(thm)],[f838,f256])).
% 0.14/0.43  fof(f864,plain,(
% 0.14/0.43    sQ43_spl),
% 0.14/0.44    inference(contradiction_clause,[status(thm)],[f863])).
% 0.14/0.44  fof(f865,plain,(
% 0.14/0.44    $false|~sQ49_spl),
% 0.14/0.44    inference(forward_subsumption_resolution,[status(thm)],[f859,f266])).
% 0.14/0.44  fof(f866,plain,(
% 0.14/0.44    ~sQ49_spl),
% 0.14/0.44    inference(contradiction_clause,[status(thm)],[f865])).
% 0.14/0.44  fof(f867,plain,(
% 0.14/0.44    $false),
% 0.14/0.44    inference(sat_refutation,[status(thm)],[f861,f864,f866])).
% 0.14/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.46  % Elapsed time: 0.087790 seconds
% 0.14/0.46  % CPU time: 0.336538 seconds
% 0.14/0.46  % Total memory used: 111.799 MB
% 0.14/0.46  % Net memory used: 111.259 MB
%------------------------------------------------------------------------------