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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET019+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n016.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 02:11:13 PM UTC 2026

% Result   : Theorem 0.15s 0.40s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET019+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n016.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 21 04:47:52 UTC 2026
% 0.15/0.36  % CPUTime  : 
% 0.15/0.37  % Drodi V4.1.1
% 0.15/0.40  % Refutation found
% 0.15/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.40  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40  fof(f2,axiom,(
% 0.15/0.40    (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.15/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40  fof(f12,conjecture,(
% 0.15/0.40    (! [A,B] :( ( subset(A,B)& subset(B,A) )=> equal_set(A,B) ) )),
% 0.15/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.40  fof(f13,negated_conjecture,(
% 0.15/0.40    ~((! [A,B] :( ( subset(A,B)& subset(B,A) )=> equal_set(A,B) ) ))),
% 0.15/0.40    inference(negated_conjecture,[status(cth)],[f12])).
% 0.15/0.40  fof(f21,plain,(
% 0.15/0.40    ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.15/0.40    inference(NNF_transformation,[status(thm)],[f2])).
% 0.15/0.40  fof(f22,plain,(
% 0.15/0.40    (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.15/0.40    inference(miniscoping,[status(thm)],[f21])).
% 0.15/0.40  fof(f25,plain,(
% 0.15/0.40    ![X0,X1]: (equal_set(X0,X1)|~subset(X0,X1)|~subset(X1,X0))),
% 0.15/0.40    inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.40  fof(f68,plain,(
% 0.15/0.40    (?[A,B]: ((subset(A,B)&subset(B,A))&~equal_set(A,B)))),
% 0.15/0.40    inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.15/0.40  fof(f69,plain,(
% 0.15/0.40    ((subset(sK3_skl,sK4_skl)&subset(sK4_skl,sK3_skl))&~equal_set(sK3_skl,sK4_skl))),
% 0.15/0.40    inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl)],[f68])).
% 0.15/0.40  fof(f70,plain,(
% 0.15/0.40    subset(sK3_skl,sK4_skl)),
% 0.15/0.40    inference(cnf_transformation,[status(thm)],[f69])).
% 0.15/0.40  fof(f71,plain,(
% 0.15/0.40    subset(sK4_skl,sK3_skl)),
% 0.15/0.40    inference(cnf_transformation,[status(thm)],[f69])).
% 0.15/0.40  fof(f72,plain,(
% 0.15/0.40    ~equal_set(sK3_skl,sK4_skl)),
% 0.15/0.40    inference(cnf_transformation,[status(thm)],[f69])).
% 0.15/0.40  fof(f76,plain,(
% 0.15/0.40    equal_set(sK3_skl,sK4_skl)|~subset(sK3_skl,sK4_skl)),
% 0.15/0.40    inference(resolution,[status(thm)],[f25,f71])).
% 0.15/0.40  fof(f81,plain,(
% 0.15/0.40    ~subset(sK3_skl,sK4_skl)),
% 0.15/0.40    inference(forward_subsumption_resolution,[status(thm)],[f76,f72])).
% 0.15/0.40  fof(f82,plain,(
% 0.15/0.40    $false),
% 0.15/0.40    inference(backward_subsumption_resolution,[status(thm)],[f70,f81])).
% 0.15/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.44  % Elapsed time: 0.058971 seconds
% 0.15/0.44  % CPU time: 0.166509 seconds
% 0.15/0.44  % Total memory used: 80.518 MB
% 0.15/0.44  % Net memory used: 80.247 MB
%------------------------------------------------------------------------------