%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWX204+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 03:13:47 PM UTC 2026
% Result : Theorem 0.12s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX204+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 10:33:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f1,axiom,(
% 0.12/0.36 (! [X] : proj1S(s(X)) = X )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f2,axiom,(
% 0.12/0.36 (! [X] : z != s(X) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f3,axiom,(
% 0.12/0.36 (! [Y] : x2(z,Y) = Y )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f4,axiom,(
% 0.12/0.36 (! [Y,N] : x2(s(N),Y) = s(x2(N,Y)) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f5,axiom,(
% 0.12/0.36 (! [Y] : x22(z,Y) = z )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f6,axiom,(
% 0.12/0.36 (! [Y,N] : x22(s(N),Y) = x2(Y,x22(N,Y)) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f7,conjecture,(
% 0.12/0.36 (? [X] : x22(X,X) != X )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f8,negated_conjecture,(
% 0.12/0.36 ~((? [X] : x22(X,X) != X ))),
% 0.12/0.36 inference(negated_conjecture,[status(cth)],[f7])).
% 0.12/0.36 fof(f9,plain,(
% 0.12/0.36 ![X0]: (proj1S(s(X0))=X0)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.36 fof(f10,plain,(
% 0.12/0.36 ![X0]: (~z=s(X0))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.36 fof(f11,plain,(
% 0.12/0.36 ![X0]: (x2(z,X0)=X0)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.36 fof(f12,plain,(
% 0.12/0.36 ![X0,X1]: (x2(s(X0),X1)=s(x2(X0,X1)))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.36 fof(f13,plain,(
% 0.12/0.36 ![X0]: (x22(z,X0)=z)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.36 fof(f14,plain,(
% 0.12/0.36 ![X0,X1]: (x22(s(X0),X1)=x2(X1,x22(X0,X1)))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.36 fof(f15,plain,(
% 0.12/0.36 (![X]: x22(X,X)=X)),
% 0.12/0.36 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/0.36 fof(f16,plain,(
% 0.12/0.36 ![X0]: (x22(X0,X0)=X0)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.36 fof(f22,plain,(
% 0.12/0.36 ![X0]: (x22(s(z),X0)=x2(X0,z))),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f13,f14])).
% 0.12/0.36 fof(f25,plain,(
% 0.12/0.36 x2(s(z),z)=s(z)),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f16,f22])).
% 0.12/0.36 fof(f27,plain,(
% 0.12/0.36 ![X0]: (x22(s(s(z)),X0)=x2(X0,x2(X0,z)))),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f22,f14])).
% 0.12/0.36 fof(f87,plain,(
% 0.12/0.36 ![X0]: (s(x2(X0,x2(s(X0),z)))=x22(s(s(z)),s(X0)))),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f27,f12])).
% 0.12/0.36 fof(f104,plain,(
% 0.12/0.36 ![X0]: (s(x2(X0,s(x2(X0,z))))=x22(s(s(z)),s(X0)))),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f12,f87])).
% 0.12/0.36 fof(f138,plain,(
% 0.12/0.36 x22(s(s(z)),s(s(z)))=s(x2(s(z),s(s(z))))),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f25,f104])).
% 0.12/0.36 fof(f153,plain,(
% 0.12/0.36 s(s(z))=s(x2(s(z),s(s(z))))),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f16,f138])).
% 0.12/0.36 fof(f154,plain,(
% 0.12/0.36 s(s(z))=s(s(x2(z,s(s(z)))))),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f12,f153])).
% 0.12/0.36 fof(f156,plain,(
% 0.12/0.36 s(s(z))=s(s(s(s(z))))),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f11,f154])).
% 0.12/0.36 fof(f167,plain,(
% 0.12/0.36 s(s(s(z)))=proj1S(s(s(z)))),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f156,f9])).
% 0.12/0.36 fof(f199,plain,(
% 0.12/0.36 s(s(s(z)))=s(z)),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f9,f167])).
% 0.12/0.36 fof(f218,plain,(
% 0.12/0.36 s(s(z))=proj1S(s(z))),
% 0.12/0.36 inference(paramodulation,[status(thm)],[f199,f9])).
% 0.12/0.36 fof(f248,plain,(
% 0.12/0.36 s(s(z))=z),
% 0.12/0.36 inference(forward_demodulation,[status(thm)],[f9,f218])).
% 0.12/0.36 fof(f249,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(resolution,[status(thm)],[f248,f10])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.38 % Elapsed time: 0.028380 seconds
% 0.12/0.38 % CPU time: 0.070384 seconds
% 0.12/0.38 % Total memory used: 2.600 MB
% 0.12/0.38 % Net memory used: 2.568 MB
%------------------------------------------------------------------------------