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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN944+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.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 03:21:35 PM UTC 2026

% Result   : Theorem 0.09s 0.55s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN944+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.52  % Computer : n007.cluster.edu
% 0.09/0.52  % Model    : x86_64 x86_64
% 0.09/0.52  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.52  % Memory   : 8046.5625MB
% 0.09/0.52  % OS       : Linux 6.8.0-71-generic
% 0.09/0.52  % CPULimit : 300
% 0.09/0.52  % WCLimit  : 300
% 0.09/0.52  % DateTime : Mon Sep 21 11:28:36 UTC 2026
% 0.09/0.52  % CPUTime  : 
% 0.09/0.53  % Drodi V4.1.1
% 0.09/0.55  % Refutation found
% 0.09/0.55  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.55  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.55  fof(f1,conjecture,(
% 0.09/0.55    (! [A,B,C] :( ( s(A)& s(B)& r(B,C)& (! [X] :( s(X)=> p(X) ))& (! [X,Y] :( r(X,Y)=> q(X,Y) ) ))=> (? [X,Y] :( p(X)& q(X,Y) ) )) )),
% 0.09/0.55    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.55  fof(f2,negated_conjecture,(
% 0.09/0.55    ~((! [A,B,C] :( ( s(A)& s(B)& r(B,C)& (! [X] :( s(X)=> p(X) ))& (! [X,Y] :( r(X,Y)=> q(X,Y) ) ))=> (? [X,Y] :( p(X)& q(X,Y) ) )) ))),
% 0.09/0.55    inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.55  fof(f3,plain,(
% 0.09/0.55    (?[A,B,C]: (((((s(A)&s(B))&r(B,C))&(![X]: (~s(X)|p(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X,Y]: (~p(X)|~q(X,Y)))))),
% 0.09/0.55    inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.55  fof(f4,plain,(
% 0.09/0.55    (((?[B]: (((?[A]: s(A))&s(B))&(?[C]: r(B,C))))&(![X]: (~s(X)|p(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X]: (~p(X)|(![Y]: ~q(X,Y))))),
% 0.09/0.55    inference(miniscoping,[status(thm)],[f3])).
% 0.09/0.55  fof(f5,plain,(
% 0.09/0.55    ((((s(sK1_skl)&s(sK0_skl))&r(sK0_skl,sK2_skl))&(![X]: (~s(X)|p(X))))&(![X,Y]: (~r(X,Y)|q(X,Y))))&(![X]: (~p(X)|(![Y]: ~q(X,Y))))),
% 0.09/0.55    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(B,sK0_skl),skolemize(A,sK1_skl),skolemize(C,sK2_skl)],[f4])).
% 0.09/0.55  fof(f7,plain,(
% 0.09/0.55    s(sK0_skl)),
% 0.09/0.55    inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.55  fof(f8,plain,(
% 0.09/0.55    r(sK0_skl,sK2_skl)),
% 0.09/0.55    inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.55  fof(f9,plain,(
% 0.09/0.55    ![X0]: (~s(X0)|p(X0))),
% 0.09/0.55    inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.55  fof(f10,plain,(
% 0.09/0.55    ![X0,X1]: (~r(X0,X1)|q(X0,X1))),
% 0.09/0.55    inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.55  fof(f11,plain,(
% 0.09/0.55    ![X0,X1]: (~p(X0)|~q(X0,X1))),
% 0.09/0.55    inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.55  fof(f12,plain,(
% 0.09/0.55    p(sK0_skl)),
% 0.09/0.55    inference(resolution,[status(thm)],[f9,f7])).
% 0.09/0.55  fof(f14,plain,(
% 0.09/0.55    ![X0]: (~q(sK0_skl,X0))),
% 0.09/0.55    inference(resolution,[status(thm)],[f11,f12])).
% 0.09/0.55  fof(f16,plain,(
% 0.09/0.55    ![X0]: (~r(sK0_skl,X0))),
% 0.09/0.55    inference(resolution,[status(thm)],[f14,f10])).
% 0.09/0.55  fof(f18,plain,(
% 0.09/0.55    $false),
% 0.09/0.55    inference(backward_subsumption_resolution,[status(thm)],[f8,f16])).
% 0.09/0.56  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.58  % Elapsed time: 0.055292 seconds
% 0.15/0.58  % CPU time: 0.131343 seconds
% 0.15/0.58  % Total memory used: 55.304 MB
% 0.15/0.58  % Net memory used: 54.733 MB
%------------------------------------------------------------------------------