%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM602+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:43:19 PM UTC 2026
% Result : Theorem 0.90s 0.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM602+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:43:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 0.90/0.84 % Refutation found
% 0.90/0.84 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.90/0.84 % SZS output start CNFRefutation for theBenchmark
% 0.90/0.84 fof(f97,hypothesis,(
% 0.90/0.84 (! [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 ) )) )),
% 0.90/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.90/0.84 fof(f98,hypothesis,(
% 0.90/0.84 ( (? [W0] :( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))& sdtlpdtrp0(xe,W0) = xx ))& aElementOf0(xx,xO) ) ),
% 0.90/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.90/0.84 fof(f99,conjecture,(
% 0.90/0.84 (? [W0] :( aElementOf0(W0,szNzAzT0)& sdtlpdtrp0(xe,W0) = xx ) )),
% 0.90/0.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.90/0.84 fof(f100,negated_conjecture,(
% 0.90/0.84 ~((? [W0] :( aElementOf0(W0,szNzAzT0)& sdtlpdtrp0(xe,W0) = xx ) ))),
% 0.90/0.84 inference(negated_conjecture,[status(cth)],[f99])).
% 0.90/0.84 fof(f577,plain,(
% 0.90/0.84 ![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)))),
% 0.90/0.84 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.90/0.84 fof(f578,definition,(
% 0.90/0.84 ![W0]: (sP9_prd(W0)<=>((![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))&~aElementOf0(W0,xO)))),
% 0.90/0.84 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.90/0.84 fof(f579,plain,(
% 0.90/0.84 ![W0]: (sP9_prd(W0)|(?[W1]: (((aElementOf0(W1,szNzAzT0)&sdtlpdtrp0(xd,W1)=szDzizrdt0(xd))&aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,W1)=W0)))),
% 0.90/0.84 inference(formula_renaming,[status(thm)],[f577,f578])).
% 0.90/0.84 fof(f580,plain,(
% 0.90/0.84 ![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))),
% 0.90/0.84 inference(skolemize,[status(esa),new_symbols(skolem,[sK35_skl]),skolemize(W1,sK35_skl(W0))],[f579])).
% 0.90/0.84 fof(f581,plain,(
% 0.90/0.84 ![X0]: (sP9_prd(X0)|aElementOf0(sK35_skl(X0),szNzAzT0))),
% 0.90/0.84 inference(cnf_transformation,[status(thm)],[f580])).
% 0.90/0.84 fof(f584,plain,(
% 0.90/0.84 ![X0]: (sP9_prd(X0)|sdtlpdtrp0(xe,sK35_skl(X0))=X0)),
% 0.90/0.84 inference(cnf_transformation,[status(thm)],[f580])).
% 0.90/0.84 fof(f585,plain,(
% 0.90/0.84 (aElementOf0(sK36_skl,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,sK36_skl)=xx)&aElementOf0(xx,xO)),
% 0.90/0.84 inference(skolemize,[status(esa),new_symbols(skolem,[sK36_skl]),skolemize(W0,sK36_skl)],[f98])).
% 0.90/0.84 fof(f588,plain,(
% 0.90/0.84 aElementOf0(xx,xO)),
% 0.90/0.84 inference(cnf_transformation,[status(thm)],[f585])).
% 0.90/0.84 fof(f589,plain,(
% 0.90/0.84 (![W0]: (~aElementOf0(W0,szNzAzT0)|~sdtlpdtrp0(xe,W0)=xx))),
% 0.90/0.84 inference(pre_NNF_transformation,[status(thm)],[f100])).
% 0.90/0.84 fof(f590,plain,(
% 0.90/0.84 ![X0]: (~aElementOf0(X0,szNzAzT0)|~sdtlpdtrp0(xe,X0)=xx)),
% 0.90/0.84 inference(cnf_transformation,[status(thm)],[f589])).
% 0.90/0.84 fof(f712,plain,(
% 0.90/0.84 ![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))))),
% 0.90/0.84 inference(NNF_transformation,[status(thm)],[f578])).
% 0.90/0.84 fof(f713,plain,(
% 0.90/0.84 (![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))))),
% 0.90/0.84 inference(miniscoping,[status(thm)],[f712])).
% 0.90/0.84 fof(f714,plain,(
% 0.90/0.84 (![W0]: (~sP9_prd(W0)|((![W1]: (~aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~sdtlpdtrp0(xe,W1)=W0))&~aElementOf0(W0,xO))))&(![W0]: (sP9_prd(W0)|((aElementOf0(sK59_skl(W0),sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,sK59_skl(W0))=W0)|aElementOf0(W0,xO))))),
% 0.90/0.84 inference(skolemize,[status(esa),new_symbols(skolem,[sK59_skl]),skolemize(W1,sK59_skl(W0))],[f713])).
% 0.90/0.84 fof(f716,plain,(
% 0.90/0.84 ![X0]: (~sP9_prd(X0)|~aElementOf0(X0,xO))),
% 0.90/0.84 inference(cnf_transformation,[status(thm)],[f714])).
% 0.90/0.84 fof(f983,plain,(
% 0.90/0.84 ~sP9_prd(xx)),
% 0.22/0.88 inference(resolution,[status(thm)],[f716,f588])).
% 0.22/0.88 fof(f1298,plain,(
% 0.22/0.88 ![X0]: (sP9_prd(X0)|~sdtlpdtrp0(xe,sK35_skl(X0))=xx)),
% 0.22/0.88 inference(resolution,[status(thm)],[f581,f590])).
% 0.22/0.88 fof(f1563,plain,(
% 0.22/0.88 sdtlpdtrp0(xe,sK35_skl(xx))=xx),
% 0.22/0.88 inference(resolution,[status(thm)],[f584,f983])).
% 0.22/0.88 fof(f1565,plain,(
% 0.22/0.88 sP9_prd(xx)),
% 0.22/0.88 inference(resolution,[status(thm)],[f1563,f1298])).
% 0.22/0.88 fof(f1573,plain,(
% 0.22/0.88 $false),
% 0.22/0.88 inference(forward_subsumption_resolution,[status(thm)],[f1565,f983])).
% 0.22/0.88 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.88 % Elapsed time: 0.496810 seconds
% 0.22/0.88 % CPU time: 3.055176 seconds
% 0.22/0.88 % Total memory used: 153.174 MB
% 0.22/0.88 % Net memory used: 150.630 MB
%------------------------------------------------------------------------------