%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV236+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 02:50:17 PM UTC 2026
% Result : Theorem 0.17s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV236+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40 % Computer : n004.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 21 08:35:35 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.54 % Refutation found
% 0.17/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.54 fof(f1,axiom,(
% 0.17/0.54 (! [X1,X2] : xor(X1,X2) = xor(X2,X1) )),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f2,axiom,(
% 0.17/0.54 (! [X1,X2,X3] : xor(X1,xor(X2,X3)) = xor(xor(X1,X2),X3) )),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f4,axiom,(
% 0.17/0.54 (! [X1] : xor(X1,id) = X1 )),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f5,axiom,(
% 0.17/0.54 (! [X1] : xor(X1,X1) = id )),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f8,axiom,(
% 0.17/0.54 (! [Xk,Xtype] :( ( p(Xk)& p(Xtype) )=> p(crypt(xor(km,xor(kp,Xtype)),Xk)) ) )),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f14,axiom,(
% 0.17/0.54 (! [X1,X2] :( ( p(X1)& p(X2) )=> p(xor(X1,X2)) ) )),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f18,axiom,(
% 0.17/0.54 p(kp) ),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f26,axiom,(
% 0.17/0.54 p(exp) ),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f28,conjecture,(
% 0.17/0.54 (? [X] :( p(crypt(xor(km,exp),X))& p(X) ) )),
% 0.17/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.54 fof(f29,negated_conjecture,(
% 0.17/0.54 ~((? [X] :( p(crypt(xor(km,exp),X))& p(X) ) ))),
% 0.17/0.54 inference(negated_conjecture,[status(cth)],[f28])).
% 0.17/0.54 fof(f30,plain,(
% 0.17/0.54 ![X0,X1]: (xor(X0,X1)=xor(X1,X0))),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f1])).
% 0.17/0.54 fof(f31,plain,(
% 0.17/0.54 ![X0,X1,X2]: (xor(X0,xor(X1,X2))=xor(xor(X0,X1),X2))),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f2])).
% 0.17/0.54 fof(f33,plain,(
% 0.17/0.54 ![X0]: (xor(X0,id)=X0)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/0.54 fof(f34,plain,(
% 0.17/0.54 ![X0]: (xor(X0,X0)=id)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.54 fof(f39,plain,(
% 0.17/0.54 ![Xk,Xtype]: ((~p(Xk)|~p(Xtype))|p(crypt(xor(km,xor(kp,Xtype)),Xk)))),
% 0.17/0.54 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.17/0.54 fof(f40,plain,(
% 0.17/0.54 ![X0,X1]: (~p(X0)|~p(X1)|p(crypt(xor(km,xor(kp,X1)),X0)))),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f39])).
% 0.17/0.54 fof(f52,plain,(
% 0.17/0.54 ![X1,X2]: ((~p(X1)|~p(X2))|p(xor(X1,X2)))),
% 0.17/0.54 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.17/0.54 fof(f53,plain,(
% 0.17/0.54 ![X0,X1]: (~p(X0)|~p(X1)|p(xor(X0,X1)))),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f52])).
% 0.17/0.54 fof(f61,plain,(
% 0.17/0.54 p(kp)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/0.54 fof(f69,plain,(
% 0.17/0.54 p(exp)),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f26])).
% 0.17/0.54 fof(f71,plain,(
% 0.17/0.54 (![X]: (~p(crypt(xor(km,exp),X))|~p(X)))),
% 0.17/0.54 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.17/0.54 fof(f72,plain,(
% 0.17/0.54 ![X0]: (~p(crypt(xor(km,exp),X0))|~p(X0))),
% 0.17/0.54 inference(cnf_transformation,[status(thm)],[f71])).
% 0.17/0.54 fof(f77,plain,(
% 0.17/0.54 ![X0]: (~p(X0)|p(xor(X0,exp)))),
% 0.17/0.54 inference(resolution,[status(thm)],[f53,f69])).
% 0.17/0.54 fof(f78,plain,(
% 0.17/0.54 ![X0,X1,X2]: (xor(X0,xor(X1,X2))=xor(X2,xor(X0,X1)))),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.17/0.54 fof(f164,plain,(
% 0.17/0.54 p(xor(kp,exp))),
% 0.17/0.54 inference(resolution,[status(thm)],[f61,f77])).
% 0.17/0.54 fof(f207,plain,(
% 0.17/0.54 ![X0,X1]: (xor(X0,id)=xor(X1,xor(X0,X1)))),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f34,f78])).
% 0.17/0.54 fof(f213,plain,(
% 0.17/0.54 ![X0,X1]: (X0=xor(X1,xor(X0,X1)))),
% 0.17/0.54 inference(forward_demodulation,[status(thm)],[f33,f207])).
% 0.17/0.54 fof(f259,plain,(
% 0.17/0.54 p(xor(exp,kp))),
% 0.17/0.54 inference(paramodulation,[status(thm)],[f30,f164])).
% 0.17/0.54 fof(f481,plain,(
% 0.17/0.54 ![X0]: (~p(X0)|p(crypt(xor(km,xor(kp,xor(exp,kp))),X0)))),
% 0.17/0.54 inference(resolution,[status(thm)],[f259,f40])).
% 0.17/0.54 fof(f486,plain,(
% 0.17/0.54 ![X0]: (~p(X0)|p(crypt(xor(km,exp),X0)))),
% 0.17/0.54 inference(forward_demodulation,[status(thm)],[f213,f481])).
% 0.17/0.54 fof(f487,plain,(
% 0.17/0.54 ![X0]: (~p(X0))),
% 0.17/0.54 inference(forward_subsumption_resolution,[status(thm)],[f486,f72])).
% 0.17/0.54 fof(f492,plain,(
% 0.17/0.54 $false),
% 0.17/0.54 inference(backward_subsumption_resolution,[status(thm)],[f259,f487])).
% 0.17/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.57 % Elapsed time: 0.132586 seconds
% 0.17/0.57 % CPU time: 0.652411 seconds
% 0.17/0.57 % Total memory used: 69.133 MB
% 0.17/0.57 % Net memory used: 68.487 MB
%------------------------------------------------------------------------------