↑ 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  : SET583+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n020.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 02:12:13 PM UTC 2026

% Result   : Theorem 0.14s 10.42s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET583+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.39  % Computer : n020.cluster.edu
% 0.10/10.39  % Model    : x86_64 x86_64
% 0.10/10.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39  % Memory   : 8046.5625MB
% 0.10/10.39  % OS       : Linux 6.8.0-71-generic
% 0.10/10.39  % CPULimit : 300
% 0.10/10.39  % WCLimit  : 300
% 0.10/10.39  % DateTime : Mon Sep 21 05:28:13 UTC 2026
% 0.10/10.39  % CPUTime  : 
% 0.14/10.40  % Drodi V4.1.1
% 0.14/10.42  % Refutation found
% 0.14/10.42  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.42  % SZS output start CNFRefutation for theBenchmark
% 0.14/10.42  fof(f1,axiom,(
% 0.14/10.42    (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.14/10.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42  fof(f4,conjecture,(
% 0.14/10.42    (! [B,C] :( ( subset(B,C)& subset(C,B) )=> B = C ) )),
% 0.14/10.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.42  fof(f5,negated_conjecture,(
% 0.14/10.42    ~((! [B,C] :( ( subset(B,C)& subset(C,B) )=> B = C ) ))),
% 0.14/10.42    inference(negated_conjecture,[status(cth)],[f4])).
% 0.14/10.42  fof(f6,plain,(
% 0.14/10.42    ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.14/10.42    inference(NNF_transformation,[status(thm)],[f1])).
% 0.14/10.42  fof(f7,plain,(
% 0.14/10.42    (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.14/10.42    inference(miniscoping,[status(thm)],[f6])).
% 0.14/10.42  fof(f10,plain,(
% 0.14/10.42    ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.14/10.42    inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/10.42  fof(f19,plain,(
% 0.14/10.42    (?[B,C]: ((subset(B,C)&subset(C,B))&~B=C))),
% 0.14/10.42    inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.14/10.42  fof(f20,plain,(
% 0.14/10.42    ((subset(sK1_skl,sK2_skl)&subset(sK2_skl,sK1_skl))&~sK1_skl=sK2_skl)),
% 0.14/10.42    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f19])).
% 0.14/10.42  fof(f21,plain,(
% 0.14/10.42    subset(sK1_skl,sK2_skl)),
% 0.14/10.42    inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/10.42  fof(f22,plain,(
% 0.14/10.42    subset(sK2_skl,sK1_skl)),
% 0.14/10.42    inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/10.42  fof(f23,plain,(
% 0.14/10.42    ~sK1_skl=sK2_skl),
% 0.14/10.42    inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/10.42  fof(f26,plain,(
% 0.14/10.42    sK1_skl=sK2_skl|~subset(sK1_skl,sK2_skl)),
% 0.14/10.42    inference(resolution,[status(thm)],[f10,f22])).
% 0.14/10.42  fof(f29,plain,(
% 0.14/10.42    ~subset(sK1_skl,sK2_skl)),
% 0.14/10.42    inference(forward_subsumption_resolution,[status(thm)],[f26,f23])).
% 0.14/10.42  fof(f31,plain,(
% 0.14/10.42    $false),
% 0.14/10.42    inference(forward_subsumption_resolution,[status(thm)],[f29,f21])).
% 0.14/10.42  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.44  % Elapsed time: 0.042519 seconds
% 0.14/10.44  % CPU time: 0.104384 seconds
% 0.14/10.44  % Total memory used: 37.384 MB
% 0.14/10.44  % Net memory used: 37.169 MB
%------------------------------------------------------------------------------