%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWX186+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 : 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 03:13:44 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX186+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:32:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (! [X,X2] : nil != cons(X,X2) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (! [Z] : drop(s(Z),nil) = nil )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,axiom,(
% 0.13/0.39 (! [Z,X2,X3] : drop(s(Z),cons(X2,X3)) = drop(Z,X3) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,conjecture,(
% 0.13/0.39 (? [N,Xs,Ys] :~ ( drop(N,Xs) = drop(N,Ys)=> Xs = Ys ) )),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,negated_conjecture,(
% 0.13/0.39 ~((? [N,Xs,Ys] :~ ( drop(N,Xs) = drop(N,Ys)=> Xs = Ys ) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f9])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ![X0,X1]: (~nil=cons(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ![X0]: (drop(s(X0),nil)=nil)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![X0,X1,X2]: (drop(s(X0),cons(X1,X2))=drop(X0,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 (![N,Xs,Ys]: (~drop(N,Xs)=drop(N,Ys)|Xs=Ys))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![Xs,Ys]: ((![N]: ~drop(N,Xs)=drop(N,Ys))|Xs=Ys)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f19])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~drop(X0,X1)=drop(X0,X2)|X1=X2)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ![X0,X1]: (~drop(s(X0),X1)=nil|X1=nil)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f16,f21])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~drop(X0,X1)=nil|cons(X2,X1)=nil)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f17,f27])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 ![X0,X1]: (~drop(X0,X1)=nil)),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f31,f13])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(backward_subsumption_resolution,[status(thm)],[f16,f34])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.052111 seconds
% 0.13/0.41 % CPU time: 0.144425 seconds
% 0.13/0.41 % Total memory used: 66.289 MB
% 0.13/0.41 % Net memory used: 65.773 MB
%------------------------------------------------------------------------------