%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM016+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 : n018.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 0.15s 5.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM016+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
% 0.11/5.39 % Computer : n018.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Mon Sep 21 14:16:50 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.15/5.40 % Drodi V4.1.1
% 0.15/5.43 % Refutation found
% 0.15/5.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.43 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.43 fof(f3,axiom,(
% 0.15/5.43 (! [W0,W1] :( ( aElement0(W0)& aRewritingSystem0(W1) )=> (! [W2] :( aReductOfIn0(W2,W0,W1)=> aElement0(W2) ) )) )),
% 0.15/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f6,definition,(
% 0.15/5.43 (! [W0,W1,W2] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2) )=> ( sdtmndtplgtdt0(W0,W1,W2)<=> ( aReductOfIn0(W2,W0,W1)| (? [W3] :( aElement0(W3)& aReductOfIn0(W3,W0,W1)& sdtmndtplgtdt0(W3,W1,W2) ) )) ) ) )),
% 0.15/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f8,definition,(
% 0.15/5.43 (! [W0,W1,W2] :( ( aElement0(W0)& aRewritingSystem0(W1)& aElement0(W2) )=> ( sdtmndtasgtdt0(W0,W1,W2)<=> ( W0 = W2| sdtmndtplgtdt0(W0,W1,W2) ) ) ) )),
% 0.15/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f15,hypothesis,(
% 0.15/5.43 aRewritingSystem0(xR) ),
% 0.15/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f17,hypothesis,(
% 0.15/5.43 ( aElement0(xa)& aElement0(xb)& aElement0(xc) ) ),
% 0.15/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f19,hypothesis,(
% 0.15/5.43 ( sdtmndtplgtdt0(xa,xR,xb)& sdtmndtplgtdt0(xa,xR,xc) ) ),
% 0.15/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f20,conjecture,(
% 0.15/5.43 (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xa,xR)& sdtmndtasgtdt0(W0,xR,xb) ) )),
% 0.15/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.43 fof(f21,negated_conjecture,(
% 0.15/5.43 ~((? [W0] :( aElement0(W0)& aReductOfIn0(W0,xa,xR)& sdtmndtasgtdt0(W0,xR,xb) ) ))),
% 0.15/5.43 inference(negated_conjecture,[status(cth)],[f20])).
% 0.15/5.43 fof(f28,plain,(
% 0.15/5.43 ![W0,W1]: ((~aElement0(W0)|~aRewritingSystem0(W1))|(![W2]: (~aReductOfIn0(W2,W0,W1)|aElement0(W2))))),
% 0.15/5.43 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.15/5.43 fof(f29,plain,(
% 0.15/5.43 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aReductOfIn0(X2,X0,X1)|aElement0(X2))),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/5.43 fof(f34,plain,(
% 0.15/5.43 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|(sdtmndtplgtdt0(W0,W1,W2)<=>(aReductOfIn0(W2,W0,W1)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,W1))&sdtmndtplgtdt0(W3,W1,W2))))))),
% 0.15/5.43 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.15/5.43 fof(f35,plain,(
% 0.15/5.43 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtplgtdt0(W0,W1,W2)|(aReductOfIn0(W2,W0,W1)|(?[W3]: ((aElement0(W3)&aReductOfIn0(W3,W0,W1))&sdtmndtplgtdt0(W3,W1,W2)))))&(sdtmndtplgtdt0(W0,W1,W2)|(~aReductOfIn0(W2,W0,W1)&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,W1))|~sdtmndtplgtdt0(W3,W1,W2)))))))),
% 0.15/5.43 inference(NNF_transformation,[status(thm)],[f34])).
% 0.15/5.43 fof(f36,plain,(
% 0.15/5.43 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtplgtdt0(W0,W1,W2)|(aReductOfIn0(W2,W0,W1)|((aElement0(sK0_skl(W2,W1,W0))&aReductOfIn0(sK0_skl(W2,W1,W0),W0,W1))&sdtmndtplgtdt0(sK0_skl(W2,W1,W0),W1,W2))))&(sdtmndtplgtdt0(W0,W1,W2)|(~aReductOfIn0(W2,W0,W1)&(![W3]: ((~aElement0(W3)|~aReductOfIn0(W3,W0,W1))|~sdtmndtplgtdt0(W3,W1,W2)))))))),
% 0.15/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W3,sK0_skl(W2,W1,W0))],[f35])).
% 0.15/5.43 fof(f37,plain,(
% 0.15/5.43 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~sdtmndtplgtdt0(X0,X1,X2)|aReductOfIn0(X2,X0,X1)|aElement0(sK0_skl(X2,X1,X0)))),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.15/5.43 fof(f38,plain,(
% 0.15/5.43 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~sdtmndtplgtdt0(X0,X1,X2)|aReductOfIn0(X2,X0,X1)|aReductOfIn0(sK0_skl(X2,X1,X0),X0,X1))),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.15/5.43 fof(f39,plain,(
% 0.15/5.43 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|~sdtmndtplgtdt0(X0,X1,X2)|aReductOfIn0(X2,X0,X1)|sdtmndtplgtdt0(sK0_skl(X2,X1,X0),X1,X2))),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f36])).
% 0.15/5.43 fof(f44,plain,(
% 0.15/5.43 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|(sdtmndtasgtdt0(W0,W1,W2)<=>(W0=W2|sdtmndtplgtdt0(W0,W1,W2))))),
% 0.15/5.43 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.15/5.43 fof(f45,plain,(
% 0.15/5.43 ![W0,W1,W2]: (((~aElement0(W0)|~aRewritingSystem0(W1))|~aElement0(W2))|((~sdtmndtasgtdt0(W0,W1,W2)|(W0=W2|sdtmndtplgtdt0(W0,W1,W2)))&(sdtmndtasgtdt0(W0,W1,W2)|(~W0=W2&~sdtmndtplgtdt0(W0,W1,W2)))))),
% 0.15/5.43 inference(NNF_transformation,[status(thm)],[f44])).
% 0.15/5.43 fof(f47,plain,(
% 0.15/5.43 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtasgtdt0(X0,X1,X2)|~X0=X2)),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f45])).
% 0.15/5.43 fof(f48,plain,(
% 0.15/5.43 ![X0,X1,X2]: (~aElement0(X0)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtasgtdt0(X0,X1,X2)|~sdtmndtplgtdt0(X0,X1,X2))),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f45])).
% 0.15/5.43 fof(f96,plain,(
% 0.15/5.43 aRewritingSystem0(xR)),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/5.43 fof(f99,plain,(
% 0.15/5.43 aElement0(xa)),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/5.43 fof(f100,plain,(
% 0.15/5.43 aElement0(xb)),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/5.43 fof(f107,plain,(
% 0.15/5.43 sdtmndtplgtdt0(xa,xR,xb)),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/5.43 fof(f109,plain,(
% 0.15/5.43 (![W0]: ((~aElement0(W0)|~aReductOfIn0(W0,xa,xR))|~sdtmndtasgtdt0(W0,xR,xb)))),
% 0.15/5.43 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.15/5.43 fof(f110,plain,(
% 0.15/5.43 ![X0]: (~aElement0(X0)|~aReductOfIn0(X0,xa,xR)|~sdtmndtasgtdt0(X0,xR,xb))),
% 0.15/5.43 inference(cnf_transformation,[status(thm)],[f109])).
% 0.15/5.43 fof(f113,plain,(
% 0.15/5.43 ![X2,X1]: (~aElement0(X2)|~aRewritingSystem0(X1)|~aElement0(X2)|sdtmndtasgtdt0(X2,X1,X2))),
% 0.15/5.43 inference(destructive_equality_resolution,[status(thm)],[f47])).
% 0.15/5.43 fof(f114,plain,(
% 0.15/5.43 ![X0,X1]: (~aElement0(X0)|~aRewritingSystem0(X1)|sdtmndtasgtdt0(X0,X1,X0))),
% 0.15/5.43 inference(duplicate_literals_removal,[status(thm)],[f113])).
% 0.15/5.43 fof(f125,plain,(
% 0.15/5.43 ![X0,X1]: (~aRewritingSystem0(X0)|~aReductOfIn0(X1,xa,X0)|aElement0(X1))),
% 0.15/5.43 inference(resolution,[status(thm)],[f99,f29])).
% 0.15/5.43 fof(f131,plain,(
% 0.15/5.43 ![X0]: (~aRewritingSystem0(X0)|sdtmndtasgtdt0(xb,X0,xb))),
% 0.15/5.43 inference(resolution,[status(thm)],[f100,f114])).
% 0.15/5.43 fof(f135,plain,(
% 0.15/5.43 ~aReductOfIn0(xb,xa,xR)|~sdtmndtasgtdt0(xb,xR,xb)),
% 0.15/5.43 inference(resolution,[status(thm)],[f100,f110])).
% 0.15/5.43 fof(f137,plain,(
% 0.15/5.43 sdtmndtasgtdt0(xb,xR,xb)),
% 0.15/5.43 inference(resolution,[status(thm)],[f131,f96])).
% 0.15/5.43 fof(f138,plain,(
% 0.15/5.43 ~aReductOfIn0(xb,xa,xR)),
% 0.15/5.43 inference(backward_subsumption_resolution,[status(thm)],[f135,f137])).
% 0.15/5.43 fof(f146,plain,(
% 0.15/5.43 ~aElement0(xa)|~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|aReductOfIn0(sK0_skl(xb,xR,xa),xa,xR)),
% 0.15/5.43 inference(resolution,[status(thm)],[f107,f38])).
% 0.15/5.43 fof(f149,plain,(
% 0.15/5.43 ~aElement0(xa)|~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(sK0_skl(xb,xR,xa),xR,xb)),
% 0.15/5.43 inference(resolution,[status(thm)],[f107,f39])).
% 0.15/5.43 fof(f150,plain,(
% 0.15/5.43 ~aElement0(xa)|~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|aElement0(sK0_skl(xb,xR,xa))),
% 0.15/5.43 inference(resolution,[status(thm)],[f107,f37])).
% 0.15/5.43 fof(f152,plain,(
% 0.15/5.43 ~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|aReductOfIn0(sK0_skl(xb,xR,xa),xa,xR)),
% 0.15/5.43 inference(forward_subsumption_resolution,[status(thm)],[f146,f99])).
% 0.15/5.43 fof(f155,plain,(
% 0.15/5.43 ~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(sK0_skl(xb,xR,xa),xR,xb)),
% 0.15/5.43 inference(forward_subsumption_resolution,[status(thm)],[f149,f99])).
% 0.15/5.43 fof(f156,plain,(
% 0.15/5.43 ~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)|aElement0(sK0_skl(xb,xR,xa))),
% 0.15/5.43 inference(forward_subsumption_resolution,[status(thm)],[f150,f99])).
% 0.15/5.43 fof(f157,plain,(
% 0.15/5.43 ~aRewritingSystem0(xR)|aReductOfIn0(xb,xa,xR)|aReductOfIn0(sK0_skl(xb,xR,xa),xa,xR)),
% 0.15/5.43 inference(resolution,[status(thm)],[f152,f100])).
% 0.15/5.43 fof(f158,plain,(
% 0.15/5.43 aReductOfIn0(xb,xa,xR)|aReductOfIn0(sK0_skl(xb,xR,xa),xa,xR)),
% 0.15/5.43 inference(forward_subsumption_resolution,[status(thm)],[f157,f96])).
% 0.15/5.43 fof(f162,plain,(
% 0.15/5.43 ~aRewritingSystem0(xR)|aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(sK0_skl(xb,xR,xa),xR,xb)),
% 0.15/5.43 inference(resolution,[status(thm)],[f155,f100])).
% 0.15/5.43 fof(f163,plain,(
% 0.15/5.43 aReductOfIn0(xb,xa,xR)|sdtmndtplgtdt0(sK0_skl(xb,xR,xa),xR,xb)),
% 0.15/5.43 inference(forward_subsumption_resolution,[status(thm)],[f162,f96])).
% 0.15/5.43 fof(f173,plain,(
% 0.15/5.43 aReductOfIn0(xb,xa,xR)|~aElement0(sK0_skl(xb,xR,xa))|~aRewritingSystem0(xR)|~aElement0(xb)|sdtmndtasgtdt0(sK0_skl(xb,xR,xa),xR,xb)),
% 0.15/5.43 inference(resolution,[status(thm)],[f163,f48])).
% 0.15/5.44 fof(f179,plain,(
% 0.15/5.44 ~aElement0(sK0_skl(xb,xR,xa))|~aRewritingSystem0(xR)|~aElement0(xb)|sdtmndtasgtdt0(sK0_skl(xb,xR,xa),xR,xb)),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f173,f138])).
% 0.15/5.44 fof(f183,plain,(
% 0.15/5.44 ![X0]: (~aReductOfIn0(X0,xa,xR)|aElement0(X0))),
% 0.15/5.44 inference(resolution,[status(thm)],[f125,f96])).
% 0.15/5.44 fof(f184,plain,(
% 0.15/5.44 ![X0]: (~aReductOfIn0(X0,xa,xR)|~sdtmndtasgtdt0(X0,xR,xb))),
% 0.15/5.44 inference(backward_subsumption_resolution,[status(thm)],[f110,f183])).
% 0.15/5.44 fof(f185,plain,(
% 0.15/5.44 ~sdtmndtasgtdt0(sK0_skl(xb,xR,xa),xR,xb)|aReductOfIn0(xb,xa,xR)),
% 0.15/5.44 inference(resolution,[status(thm)],[f184,f158])).
% 0.15/5.44 fof(f186,plain,(
% 0.15/5.44 ~aElement0(sK0_skl(xb,xR,xa))|~aRewritingSystem0(xR)|~aElement0(xb)),
% 0.15/5.44 inference(backward_subsumption_resolution,[status(thm)],[f179,f187])).
% 0.15/5.44 fof(f187,plain,(
% 0.15/5.44 ~sdtmndtasgtdt0(sK0_skl(xb,xR,xa),xR,xb)),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f185,f138])).
% 0.15/5.44 fof(f188,plain,(
% 0.15/5.44 ~aRewritingSystem0(xR)|~aElement0(xb)|aReductOfIn0(xb,xa,xR)),
% 0.15/5.44 inference(backward_subsumption_resolution,[status(thm)],[f156,f189])).
% 0.15/5.44 fof(f189,plain,(
% 0.15/5.44 ~aElement0(sK0_skl(xb,xR,xa))|~aElement0(xb)),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f186,f96])).
% 0.15/5.44 fof(f190,plain,(
% 0.15/5.44 ~aElement0(xb)|aReductOfIn0(xb,xa,xR)),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f188,f96])).
% 0.15/5.44 fof(f192,plain,(
% 0.15/5.44 aReductOfIn0(xb,xa,xR)),
% 0.15/5.44 inference(resolution,[status(thm)],[f190,f100])).
% 0.15/5.44 fof(f193,plain,(
% 0.15/5.44 $false),
% 0.15/5.44 inference(forward_subsumption_resolution,[status(thm)],[f192,f138])).
% 0.15/5.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.46 % Elapsed time: 0.062802 seconds
% 0.15/5.46 % CPU time: 0.230431 seconds
% 0.15/5.46 % Total memory used: 83.876 MB
% 0.15/5.46 % Net memory used: 83.705 MB
%------------------------------------------------------------------------------