%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:00:12 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS068+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:54:46 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (! [X] :( cUnsatisfiable(X)=> cc(X) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,axiom,(
% 0.13/0.39 (! [X] :( cUnsatisfiable(X)=> ~ cd(X) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,axiom,(
% 0.13/0.39 (! [X] :( cc(X)=> (! [Y] :( rr(X,Y)=> cc(Y) ) )) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 cUnsatisfiable(i2003_11_14_17_18_23845) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,axiom,(
% 0.13/0.39 (! [X] :( (! [Y] :( rr(X,Y)=> cc(Y) ))=> cd(X) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X]: (~cUnsatisfiable(X)|cc(X))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ![X0]: (~cUnsatisfiable(X0)|cc(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![X]: (~cUnsatisfiable(X)|~cd(X))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ![X0]: (~cUnsatisfiable(X0)|~cd(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 ![X]: (~cc(X)|(![Y]: (~rr(X,Y)|cc(Y))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![X0,X1]: (~cc(X0)|~rr(X0,X1)|cc(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 cUnsatisfiable(i2003_11_14_17_18_23845)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 ![X]: ((?[Y]: (rr(X,Y)&~cc(Y)))|cd(X))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ![X]: ((rr(X,sK0_skl(X))&~cc(sK0_skl(X)))|cd(X))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f22])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ![X0]: (rr(X0,sK0_skl(X0))|cd(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ![X0]: (~cc(sK0_skl(X0))|cd(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f23])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ![X0]: (cd(X0)|~cc(X0)|cc(sK0_skl(X0)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f24,f20])).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 ![X0]: (cd(X0)|~cc(X0))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f27,f25])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ![X0]: (~cc(X0)|~cUnsatisfiable(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f29,f18])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 ![X0]: (~cUnsatisfiable(X0))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f30,f16])).
% 0.13/0.39 fof(f33,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f21,f31])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.033065 seconds
% 0.13/0.40 % CPU time: 0.070029 seconds
% 0.13/0.40 % Total memory used: 950.336 KB
% 0.13/0.40 % Net memory used: 940.976 KB
%------------------------------------------------------------------------------