↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET599+3 : 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 : n008.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 02:12:16 PM UTC 2026

% Result   : Theorem 0.12s 0.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET599+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35  % Computer : n008.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep 21 05:28:40 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.12/0.37  % Drodi V4.1.1
% 0.12/0.39  % Refutation found
% 0.12/0.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39  fof(f1,axiom,(
% 0.12/0.39    (! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) )),
% 0.12/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f2,axiom,(
% 0.12/0.39    (! [B,C] : subset(B,union(B,C)) )),
% 0.12/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f9,conjecture,(
% 0.12/0.39    (! [B,C] : subset(difference(B,C),symmetric_difference(B,C)) )),
% 0.12/0.39    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.39  fof(f10,negated_conjecture,(
% 0.12/0.39    ~((! [B,C] : subset(difference(B,C),symmetric_difference(B,C)) ))),
% 0.12/0.39    inference(negated_conjecture,[status(cth)],[f9])).
% 0.12/0.39  fof(f11,plain,(
% 0.12/0.39    ![X0,X1]: (symmetric_difference(X0,X1)=union(difference(X0,X1),difference(X1,X0)))),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.39  fof(f12,plain,(
% 0.12/0.39    ![X0,X1]: (subset(X0,union(X0,X1)))),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39  fof(f35,plain,(
% 0.12/0.39    (?[B,C]: ~subset(difference(B,C),symmetric_difference(B,C)))),
% 0.12/0.39    inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.12/0.39  fof(f36,plain,(
% 0.12/0.39    ~subset(difference(sK2_skl,sK3_skl),symmetric_difference(sK2_skl,sK3_skl))),
% 0.12/0.39    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(B,sK2_skl),skolemize(C,sK3_skl)],[f35])).
% 0.12/0.39  fof(f37,plain,(
% 0.12/0.39    ~subset(difference(sK2_skl,sK3_skl),symmetric_difference(sK2_skl,sK3_skl))),
% 0.12/0.39    inference(cnf_transformation,[status(thm)],[f36])).
% 0.12/0.39  fof(f46,plain,(
% 0.12/0.39    ![X0,X1]: (subset(difference(X0,X1),symmetric_difference(X0,X1)))),
% 0.12/0.39    inference(paramodulation,[status(thm)],[f11,f12])).
% 0.12/0.39  fof(f48,plain,(
% 0.12/0.39    $false),
% 0.12/0.39    inference(backward_subsumption_resolution,[status(thm)],[f37,f46])).
% 0.12/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41  % Elapsed time: 0.050848 seconds
% 0.12/0.41  % CPU time: 0.150701 seconds
% 0.12/0.41  % Total memory used: 101.434 MB
% 0.12/0.41  % Net memory used: 100.989 MB
%------------------------------------------------------------------------------