%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV050+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 02:49:59 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV050+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 08:29:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.44 % Refutation found
% 0.10/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.44 fof(f26,axiom,(
% 0.10/0.44 (! [Body] : sum(n0,tptp_minus_1,Body) = n0 )),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f28,axiom,(
% 0.10/0.44 succ(tptp_minus_1) = n0 ),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f39,axiom,(
% 0.10/0.44 (! [X] : minus(X,n1) = pred(X) )),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f40,axiom,(
% 0.10/0.44 (! [X] : pred(succ(X)) = X )),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f53,conjecture,(
% 0.10/0.44 ( ( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) )=> ( n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ) ) ),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f54,negated_conjecture,(
% 0.10/0.44 ~(( ( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) )=> ( n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ) ) )),
% 0.10/0.44 inference(negated_conjecture,[status(cth)],[f53])).
% 0.10/0.44 fof(f197,plain,(
% 0.10/0.44 ![X0]: (sum(n0,tptp_minus_1,X0)=n0)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f26])).
% 0.10/0.44 fof(f199,plain,(
% 0.10/0.44 succ(tptp_minus_1)=n0),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f28])).
% 0.10/0.44 fof(f210,plain,(
% 0.10/0.44 ![X0]: (minus(X0,n1)=pred(X0))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f39])).
% 0.10/0.44 fof(f211,plain,(
% 0.10/0.44 ![X0]: (pred(succ(X0))=X0)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f40])).
% 0.10/0.44 fof(f244,plain,(
% 0.10/0.44 ((pv86=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))&pv88=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))))&((~n0=sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))|~pv86=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))))|~pv88=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))))),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.10/0.44 fof(f245,plain,(
% 0.10/0.44 pv86=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f244])).
% 0.10/0.44 fof(f246,plain,(
% 0.10/0.44 pv88=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f244])).
% 0.10/0.44 fof(f247,plain,(
% 0.10/0.44 ~n0=sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))|~pv86=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))|~pv88=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f244])).
% 0.10/0.44 fof(f331,plain,(
% 0.10/0.44 pv86=sum(n0,pred(n5),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f210,f245])).
% 0.10/0.44 fof(f332,plain,(
% 0.10/0.44 pv88=sum(n0,pred(n5),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f210,f246])).
% 0.10/0.44 fof(f333,plain,(
% 0.10/0.44 ~n0=sum(n0,pred(n0),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))|~pv86=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))|~pv88=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f210,f247])).
% 0.10/0.44 fof(f334,plain,(
% 0.10/0.44 ~n0=sum(n0,pred(n0),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))|~pv86=sum(n0,pred(n5),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))|~pv88=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f210,f333])).
% 0.10/0.44 fof(f335,plain,(
% 0.10/0.44 ~n0=sum(n0,pred(n0),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))|~pv86=pv86|~pv88=sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f331,f334])).
% 0.10/0.44 fof(f336,plain,(
% 0.10/0.44 ~n0=sum(n0,pred(n0),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))|~pv86=pv86|~pv88=sum(n0,pred(n5),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f210,f335])).
% 0.10/0.44 fof(f337,plain,(
% 0.10/0.44 ~n0=sum(n0,pred(n0),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))|~pv86=pv86|~pv88=pv88),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f332,f336])).
% 0.10/0.44 fof(f338,plain,(
% 0.10/0.44 ~n0=sum(n0,pred(n0),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))),
% 0.10/0.44 inference(trivial_equality_resolution,[status(thm)],[f337])).
% 0.10/0.44 fof(f386,plain,(
% 0.10/0.44 pred(n0)=tptp_minus_1),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f199,f211])).
% 0.10/0.44 fof(f387,plain,(
% 0.10/0.44 ~n0=sum(n0,tptp_minus_1,divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f386,f338])).
% 0.10/0.44 fof(f388,plain,(
% 0.10/0.44 ~n0=n0),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f197,f387])).
% 0.10/0.44 fof(f389,plain,(
% 0.10/0.44 $false),
% 0.10/0.44 inference(trivial_equality_resolution,[status(thm)],[f388])).
% 0.10/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.082418 seconds
% 0.10/0.46 % CPU time: 0.339618 seconds
% 0.10/0.46 % Total memory used: 111.591 MB
% 0.10/0.46 % Net memory used: 111.160 MB
%------------------------------------------------------------------------------