%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM018+1 : TPTP v9.3.1. Released v4.0.0.
% 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 12:10:43 PM UTC 2026
% Result : Theorem 0.10s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM018+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n011.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 14:14:30 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.10/5.40 % Refutation found
% 0.10/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/5.40 fof(f14,axiom,(
% 0.10/5.40 (! [W0] :( ( aRewritingSystem0(W0)& isTerminating0(W0) )=> (! [W1] :( aElement0(W1)=> (? [W2] : aNormalFormOfIn0(W2,W1,W0) )) )) )),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f15,hypothesis,(
% 0.10/5.40 aRewritingSystem0(xR) ),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f16,hypothesis,(
% 0.10/5.40 ( isLocallyConfluent0(xR)& isTerminating0(xR) ) ),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f22,hypothesis,(
% 0.10/5.40 ( aElement0(xw)& sdtmndtasgtdt0(xu,xR,xw)& sdtmndtasgtdt0(xv,xR,xw) ) ),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f23,conjecture,(
% 0.10/5.40 (? [W0] : aNormalFormOfIn0(W0,xw,xR) )),
% 0.10/5.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/5.40 fof(f24,negated_conjecture,(
% 0.10/5.40 ~((? [W0] : aNormalFormOfIn0(W0,xw,xR) ))),
% 0.10/5.40 inference(negated_conjecture,[status(cth)],[f23])).
% 0.10/5.40 fof(f96,plain,(
% 0.10/5.40 ![W0]: ((~aRewritingSystem0(W0)|~isTerminating0(W0))|(![W1]: (~aElement0(W1)|(?[W2]: aNormalFormOfIn0(W2,W1,W0)))))),
% 0.10/5.40 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.10/5.40 fof(f97,plain,(
% 0.10/5.40 ![W0]: ((~aRewritingSystem0(W0)|~isTerminating0(W0))|(![W1]: (~aElement0(W1)|aNormalFormOfIn0(sK12_skl(W1,W0),W1,W0))))),
% 0.10/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(W2,sK12_skl(W1,W0))],[f96])).
% 0.10/5.40 fof(f98,plain,(
% 0.10/5.40 ![X0,X1]: (~aRewritingSystem0(X0)|~isTerminating0(X0)|~aElement0(X1)|aNormalFormOfIn0(sK12_skl(X1,X0),X1,X0))),
% 0.10/5.40 inference(cnf_transformation,[status(thm)],[f97])).
% 0.10/5.40 fof(f99,plain,(
% 0.10/5.40 aRewritingSystem0(xR)),
% 0.10/5.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/5.40 fof(f101,plain,(
% 0.10/5.40 isTerminating0(xR)),
% 0.10/5.40 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/5.40 fof(f118,plain,(
% 0.10/5.40 aElement0(xw)),
% 0.10/5.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.10/5.40 fof(f121,plain,(
% 0.10/5.40 (![W0]: ~aNormalFormOfIn0(W0,xw,xR))),
% 0.10/5.40 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.10/5.40 fof(f122,plain,(
% 0.10/5.40 ![X0]: (~aNormalFormOfIn0(X0,xw,xR))),
% 0.10/5.40 inference(cnf_transformation,[status(thm)],[f121])).
% 0.10/5.40 fof(f149,plain,(
% 0.10/5.40 ![X0]: (~isTerminating0(xR)|~aElement0(X0)|aNormalFormOfIn0(sK12_skl(X0,xR),X0,xR))),
% 0.10/5.40 inference(resolution,[status(thm)],[f98,f99])).
% 0.10/5.40 fof(f150,plain,(
% 0.10/5.40 ![X0]: (~aElement0(X0)|aNormalFormOfIn0(sK12_skl(X0,xR),X0,xR))),
% 0.10/5.40 inference(forward_subsumption_resolution,[status(thm)],[f149,f101])).
% 0.10/5.40 fof(f151,plain,(
% 0.10/5.40 ~aElement0(xw)),
% 0.10/5.40 inference(resolution,[status(thm)],[f150,f122])).
% 0.10/5.40 fof(f154,plain,(
% 0.10/5.40 $false),
% 0.10/5.40 inference(forward_subsumption_resolution,[status(thm)],[f151,f118])).
% 0.10/5.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.42 % Elapsed time: 0.051887 seconds
% 0.13/5.42 % CPU time: 0.154409 seconds
% 0.13/5.42 % Total memory used: 74.992 MB
% 0.13/5.42 % Net memory used: 74.921 MB
%------------------------------------------------------------------------------