%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS093+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 : 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 01:00:15 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS093+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
% 0.09/0.56 % Computer : n020.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sun Sep 20 22:54:19 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 % Drodi V4.1.1
% 0.14/0.59 % Refutation found
% 0.14/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.59 fof(f3,axiom,(
% 0.14/0.59 (! [X] :( cUnsatisfiable(X)<=> ( cf(X)& ce3(X) ) ) )),
% 0.14/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f4,axiom,(
% 0.14/0.59 (! [X] :( cc(X)=> ~ cd(X) ) )),
% 0.14/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f7,axiom,(
% 0.14/0.59 (! [X] :( ce3(X)=> cc(X) ) )),
% 0.14/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f8,axiom,(
% 0.14/0.59 (! [X] :( cf(X)=> cd(X) ) )),
% 0.14/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f9,axiom,(
% 0.14/0.59 cUnsatisfiable(i2003_11_14_17_20_07201) ),
% 0.14/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.59 fof(f17,plain,(
% 0.14/0.59 ![X]: ((~cUnsatisfiable(X)|(cf(X)&ce3(X)))&(cUnsatisfiable(X)|(~cf(X)|~ce3(X))))),
% 0.14/0.59 inference(NNF_transformation,[status(thm)],[f3])).
% 0.14/0.59 fof(f18,plain,(
% 0.14/0.59 (![X]: (~cUnsatisfiable(X)|(cf(X)&ce3(X))))&(![X]: (cUnsatisfiable(X)|(~cf(X)|~ce3(X))))),
% 0.14/0.59 inference(miniscoping,[status(thm)],[f17])).
% 0.14/0.59 fof(f19,plain,(
% 0.14/0.59 ![X0]: (~cUnsatisfiable(X0)|cf(X0))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.59 fof(f20,plain,(
% 0.14/0.59 ![X0]: (~cUnsatisfiable(X0)|ce3(X0))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.59 fof(f22,plain,(
% 0.14/0.59 ![X]: (~cc(X)|~cd(X))),
% 0.14/0.59 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.14/0.59 fof(f23,plain,(
% 0.14/0.59 ![X0]: (~cc(X0)|~cd(X0))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.59 fof(f28,plain,(
% 0.14/0.59 ![X]: (~ce3(X)|cc(X))),
% 0.14/0.59 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.14/0.59 fof(f29,plain,(
% 0.14/0.59 ![X0]: (~ce3(X0)|cc(X0))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.59 fof(f30,plain,(
% 0.14/0.59 ![X]: (~cf(X)|cd(X))),
% 0.14/0.59 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.14/0.59 fof(f31,plain,(
% 0.14/0.59 ![X0]: (~cf(X0)|cd(X0))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.59 fof(f32,plain,(
% 0.14/0.59 cUnsatisfiable(i2003_11_14_17_20_07201)),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.59 fof(f35,plain,(
% 0.14/0.59 ![X0]: (~cf(X0)|~cc(X0))),
% 0.14/0.59 inference(resolution,[status(thm)],[f31,f23])).
% 0.14/0.59 fof(f36,plain,(
% 0.14/0.59 ![X0]: (~cf(X0)|~ce3(X0))),
% 0.14/0.59 inference(resolution,[status(thm)],[f35,f29])).
% 0.14/0.59 fof(f37,plain,(
% 0.14/0.59 ![X0]: (~cf(X0)|~cUnsatisfiable(X0))),
% 0.14/0.59 inference(resolution,[status(thm)],[f36,f20])).
% 0.14/0.59 fof(f39,plain,(
% 0.14/0.59 ![X0]: (~cUnsatisfiable(X0))),
% 0.14/0.59 inference(forward_subsumption_resolution,[status(thm)],[f37,f19])).
% 0.14/0.59 fof(f40,plain,(
% 0.14/0.59 $false),
% 0.14/0.59 inference(backward_subsumption_resolution,[status(thm)],[f32,f39])).
% 0.14/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.61 % Elapsed time: 0.035983 seconds
% 0.14/0.61 % CPU time: 0.074933 seconds
% 0.14/0.61 % Total memory used: 1.045 MB
% 0.14/0.61 % Net memory used: 1.037 MB
%------------------------------------------------------------------------------