%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM618+3 : 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 : n008.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 01:43:22 PM UTC 2026
% Result : Theorem 6.94s 6.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM618+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n008.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 02:45:45 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.14/5.41 % Drodi V4.1.1
% 6.94/6.34 % Refutation found
% 6.94/6.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.94/6.34 % SZS output start CNFRefutation for theBenchmark
% 6.94/6.34 fof(f97,hypothesis,(
% 6.94/6.34 (! [W0] :( ( (? [W1] :( aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))& sdtlpdtrp0(xe,W1) = W0 ))| aElementOf0(W0,xO) )=> (? [W1] :( aElementOf0(W1,szNzAzT0)& sdtlpdtrp0(xd,W1) = szDzizrdt0(xd)& aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))& sdtlpdtrp0(xe,W1) = W0 ) )) )),
% 6.94/6.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.94/6.34 fof(f99,hypothesis,(
% 6.94/6.34 ( aSet0(xQ)& (! [W0] :( aElementOf0(W0,xQ)=> aElementOf0(W0,xO) ))& aSubsetOf0(xQ,xO)& sbrdtbr0(xQ) = xK& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ) ),
% 6.94/6.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.94/6.34 fof(f113,hypothesis,(
% 6.94/6.34 ( aElement0(xx)& aElementOf0(xx,xQ)& xx != szmzizndt0(xQ)& aElementOf0(xx,xP) ) ),
% 6.94/6.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.94/6.34 fof(f115,conjecture,(
% 6.94/6.34 (? [W0] :( aElementOf0(W0,szNzAzT0)& xx = sdtlpdtrp0(xe,W0) ) )),
% 6.94/6.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.94/6.34 fof(f116,negated_conjecture,(
% 6.94/6.34 ~((? [W0] :( aElementOf0(W0,szNzAzT0)& xx = sdtlpdtrp0(xe,W0) ) ))),
% 6.94/6.34 inference(negated_conjecture,[status(cth)],[f115])).
% 6.94/6.34 fof(f593,plain,(
% 6.94/6.34 ![W0]: (((![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))&~aElementOf0(W0,xO))|(?[W1]: (((aElementOf0(W1,szNzAzT0)&sdtlpdtrp0(xd,W1)=szDzizrdt0(xd))&aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,W1)=W0)))),
% 6.94/6.34 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 6.94/6.34 fof(f594,definition,(
% 6.94/6.34 ![W0]: (sP9_prd(W0)<=>((![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))&~aElementOf0(W0,xO)))),
% 6.94/6.34 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 6.94/6.34 fof(f595,plain,(
% 6.94/6.34 ![W0]: (sP9_prd(W0)|(?[W1]: (((aElementOf0(W1,szNzAzT0)&sdtlpdtrp0(xd,W1)=szDzizrdt0(xd))&aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,W1)=W0)))),
% 6.94/6.34 inference(formula_renaming,[status(thm)],[f593,f594])).
% 6.94/6.34 fof(f596,plain,(
% 6.94/6.34 ![W0]: (sP9_prd(W0)|(((aElementOf0(sK35_skl(W0),szNzAzT0)&sdtlpdtrp0(xd,sK35_skl(W0))=szDzizrdt0(xd))&aElementOf0(sK35_skl(W0),sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,sK35_skl(W0))=W0))),
% 6.94/6.34 inference(skolemize,[status(esa),new_symbols(skolem,[sK35_skl]),skolemize(W1,sK35_skl(W0))],[f595])).
% 6.94/6.34 fof(f597,plain,(
% 6.94/6.34 ![X0]: (sP9_prd(X0)|aElementOf0(sK35_skl(X0),szNzAzT0))),
% 6.94/6.34 inference(cnf_transformation,[status(thm)],[f596])).
% 6.94/6.34 fof(f600,plain,(
% 6.94/6.34 ![X0]: (sP9_prd(X0)|sdtlpdtrp0(xe,sK35_skl(X0))=X0)),
% 6.94/6.34 inference(cnf_transformation,[status(thm)],[f596])).
% 6.94/6.34 fof(f604,plain,(
% 6.94/6.34 (((aSet0(xQ)&(![W0]: (~aElementOf0(W0,xQ)|aElementOf0(W0,xO))))&aSubsetOf0(xQ,xO))&sbrdtbr0(xQ)=xK)&aElementOf0(xQ,slbdtsldtrb0(xO,xK))),
% 6.94/6.34 inference(pre_NNF_transformation,[status(thm)],[f99])).
% 6.94/6.34 fof(f606,plain,(
% 6.94/6.34 ![X0]: (~aElementOf0(X0,xQ)|aElementOf0(X0,xO))),
% 6.94/6.34 inference(cnf_transformation,[status(thm)],[f604])).
% 6.94/6.34 fof(f657,plain,(
% 6.94/6.34 aElementOf0(xx,xQ)),
% 6.94/6.34 inference(cnf_transformation,[status(thm)],[f113])).
% 6.94/6.34 fof(f664,plain,(
% 6.94/6.34 (![W0]: (~aElementOf0(W0,szNzAzT0)|~xx=sdtlpdtrp0(xe,W0)))),
% 6.94/6.34 inference(pre_NNF_transformation,[status(thm)],[f116])).
% 6.94/6.34 fof(f665,plain,(
% 6.94/6.34 ![X0]: (~aElementOf0(X0,szNzAzT0)|~xx=sdtlpdtrp0(xe,X0))),
% 6.94/6.34 inference(cnf_transformation,[status(thm)],[f664])).
% 6.94/6.34 fof(f787,plain,(
% 6.94/6.34 ![W0]: ((~sP9_prd(W0)|((![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))&~aElementOf0(W0,xO)))&(sP9_prd(W0)|((?[W1]: (aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,W1)=W0))|aElementOf0(W0,xO))))),
% 6.94/6.34 inference(NNF_transformation,[status(thm)],[f594])).
% 6.94/6.34 fof(f788,plain,(
% 6.94/6.34 (![W0]: (~sP9_prd(W0)|((![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))&~aElementOf0(W0,xO))))&(![W0]: (sP9_prd(W0)|((?[W1]: (aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,W1)=W0))|aElementOf0(W0,xO))))),
% 6.94/6.34 inference(miniscoping,[status(thm)],[f787])).
% 6.94/6.34 fof(f789,plain,(
% 6.94/6.34 (![W0]: (~sP9_prd(W0)|((![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))&~aElementOf0(W0,xO))))&(![W0]: (sP9_prd(W0)|((aElementOf0(sK61_skl(W0),sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,sK61_skl(W0))=W0)|aElementOf0(W0,xO))))),
% 6.94/6.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK61_skl]),skolemize(W1,sK61_skl(W0))],[f788])).
% 6.94/6.36 fof(f791,plain,(
% 6.94/6.36 ![X0]: (~sP9_prd(X0)|~aElementOf0(X0,xO))),
% 6.94/6.36 inference(cnf_transformation,[status(thm)],[f789])).
% 6.94/6.36 fof(f2043,plain,(
% 6.94/6.36 ![X0]: (sP9_prd(X0)|~xx=sdtlpdtrp0(xe,sK35_skl(X0)))),
% 6.94/6.36 inference(resolution,[status(thm)],[f597,f665])).
% 6.94/6.36 fof(f2058,plain,(
% 6.94/6.36 aElementOf0(xx,xO)),
% 6.94/6.36 inference(resolution,[status(thm)],[f606,f657])).
% 6.94/6.36 fof(f2078,plain,(
% 6.94/6.36 ~sP9_prd(xx)),
% 6.94/6.36 inference(resolution,[status(thm)],[f2058,f791])).
% 6.94/6.36 fof(f9313,plain,(
% 6.94/6.36 sdtlpdtrp0(xe,sK35_skl(xx))=xx),
% 6.94/6.36 inference(resolution,[status(thm)],[f600,f2078])).
% 6.94/6.36 fof(f9444,plain,(
% 6.94/6.36 sP9_prd(xx)),
% 6.94/6.36 inference(resolution,[status(thm)],[f9313,f2043])).
% 6.94/6.36 fof(f9447,plain,(
% 6.94/6.36 $false),
% 6.94/6.36 inference(forward_subsumption_resolution,[status(thm)],[f9444,f2078])).
% 6.94/6.36 % SZS output end CNFRefutation for theBenchmark.p
% 6.94/6.37 % Elapsed time: 0.978589 seconds
% 6.94/6.37 % CPU time: 7.409297 seconds
% 6.94/6.37 % Total memory used: 209.297 MB
% 6.94/6.37 % Net memory used: 203.606 MB
%------------------------------------------------------------------------------