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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : LCL664+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n004.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 01:10:43 PM UTC 2026

% Result   : Theorem 0.16s 0.45s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : LCL664+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42  % Computer : n004.cluster.edu
% 0.16/0.42  % Model    : x86_64 x86_64
% 0.16/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42  % Memory   : 8046.5625MB
% 0.16/0.42  % OS       : Linux 6.8.0-71-generic
% 0.16/0.42  % CPULimit : 300
% 0.16/0.42  % WCLimit  : 300
% 0.16/0.42  % DateTime : Mon Sep 21 00:50:05 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.16/0.44  % Drodi V4.1.1
% 0.16/0.45  % Refutation found
% 0.16/0.45  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.45  % SZS output start CNFRefutation for theBenchmark
% 0.16/0.45  fof(f2,conjecture,(
% 0.16/0.45    ~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| p16(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p12(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p14(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p12(Y) ))| (! [Y] :( ~ r1(X,Y)| p15(Y) ))| (! [Y] :( ~ r1(X,Y)| p13(Y) ))| (! [Y] :( ~ r1(X,Y)| p12(Y) ))| (! [Y] :( ~ r1(X,Y)| p11(Y) ) )) )),
% 0.16/0.45    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.45  fof(f3,negated_conjecture,(
% 0.16/0.45    ~(~ (? [X] :~ ( ~ (! [Y] :( ~ r1(X,Y)| p16(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p12(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p14(Y) ))| ~ (! [Y] :( ~ r1(X,Y)| p12(Y) ))| (! [Y] :( ~ r1(X,Y)| p15(Y) ))| (! [Y] :( ~ r1(X,Y)| p13(Y) ))| (! [Y] :( ~ r1(X,Y)| p12(Y) ))| (! [Y] :( ~ r1(X,Y)| p11(Y) ) )) ))),
% 0.16/0.45    inference(negated_conjecture,[status(cth)],[f2])).
% 0.16/0.45  fof(f5,plain,(
% 0.16/0.45    ?[X]: ((((((((![Y]: (~r1(X,Y)|p16(Y)))&(![Y]: (~r1(X,Y)|p12(Y))))&(![Y]: (~r1(X,Y)|p14(Y))))&(![Y]: (~r1(X,Y)|p12(Y))))&(?[Y]: (r1(X,Y)&~p15(Y))))&(?[Y]: (r1(X,Y)&~p13(Y))))&(?[Y]: (r1(X,Y)&~p12(Y))))&(?[Y]: (r1(X,Y)&~p11(Y))))),
% 0.16/0.45    inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.16/0.45  fof(f6,plain,(
% 0.16/0.45    ((((((((![Y]: (~r1(sK0_skl,Y)|p16(Y)))&(![Y]: (~r1(sK0_skl,Y)|p12(Y))))&(![Y]: (~r1(sK0_skl,Y)|p14(Y))))&(![Y]: (~r1(sK0_skl,Y)|p12(Y))))&(r1(sK0_skl,sK1_skl)&~p15(sK1_skl)))&(r1(sK0_skl,sK2_skl)&~p13(sK2_skl)))&(r1(sK0_skl,sK3_skl)&~p12(sK3_skl)))&(r1(sK0_skl,sK4_skl)&~p11(sK4_skl)))),
% 0.16/0.45    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(Y,sK2_skl),skolemize(Y,sK3_skl),skolemize(Y,sK4_skl)],[f5])).
% 0.16/0.45  fof(f8,plain,(
% 0.16/0.45    ![X0]: (~r1(sK0_skl,X0)|p12(X0))),
% 0.16/0.45    inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.45  fof(f15,plain,(
% 0.16/0.45    r1(sK0_skl,sK3_skl)),
% 0.16/0.45    inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.45  fof(f16,plain,(
% 0.16/0.45    ~p12(sK3_skl)),
% 0.16/0.45    inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/0.45  fof(f23,plain,(
% 0.16/0.45    p12(sK3_skl)),
% 0.16/0.45    inference(resolution,[status(thm)],[f8,f15])).
% 0.16/0.45  fof(f27,plain,(
% 0.16/0.45    $false),
% 0.16/0.45    inference(forward_subsumption_resolution,[status(thm)],[f23,f16])).
% 0.16/0.45  % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.53  % Elapsed time: 0.092179 seconds
% 0.16/0.53  % CPU time: 0.095191 seconds
% 0.16/0.53  % Total memory used: 3.474 MB
% 0.16/0.53  % Net memory used: 3.456 MB
%------------------------------------------------------------------------------