%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM021+4 : 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 : n002.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 12:10:44 PM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM021+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 14:17:18 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.41 fof(f23,hypothesis,(
% 0.12/0.41 ( aElement0(xd)& ( xw = xd| ( ( aReductOfIn0(xd,xw,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xw,xR)& sdtmndtplgtdt0(W0,xR,xd) ) ))& sdtmndtplgtdt0(xw,xR,xd) ) )& sdtmndtasgtdt0(xw,xR,xd)& ~ (? [W0] : aReductOfIn0(W0,xd,xR))& aNormalFormOfIn0(xd,xw,xR) ) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f24,hypothesis,(
% 0.12/0.41 ( aElement0(xx)& ( xb = xx| ( ( aReductOfIn0(xx,xb,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xb,xR)& sdtmndtplgtdt0(W0,xR,xx) ) ))& sdtmndtplgtdt0(xb,xR,xx) ) )& sdtmndtasgtdt0(xb,xR,xx)& ( xd = xx| ( ( aReductOfIn0(xx,xd,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xd,xR)& sdtmndtplgtdt0(W0,xR,xx) ) ))& sdtmndtplgtdt0(xd,xR,xx) ) )& sdtmndtasgtdt0(xd,xR,xx) ) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f25,conjecture,(
% 0.12/0.41 ( xb = xd| aReductOfIn0(xd,xb,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xb,xR)& sdtmndtplgtdt0(W0,xR,xd) ))| sdtmndtplgtdt0(xb,xR,xd)| sdtmndtasgtdt0(xb,xR,xd) ) ),
% 0.12/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.41 fof(f26,negated_conjecture,(
% 0.12/0.41 ~(( xb = xd| aReductOfIn0(xd,xb,xR)| (? [W0] :( aElement0(W0)& aReductOfIn0(W0,xb,xR)& sdtmndtplgtdt0(W0,xR,xd) ))| sdtmndtplgtdt0(xb,xR,xd)| sdtmndtasgtdt0(xb,xR,xd) ) )),
% 0.12/0.41 inference(negated_conjecture,[status(cth)],[f25])).
% 0.12/0.41 fof(f220,plain,(
% 0.12/0.41 (((aElement0(xd)&(xw=xd|((aReductOfIn0(xd,xw,xR)|(?[W0]: ((aElement0(W0)&aReductOfIn0(W0,xw,xR))&sdtmndtplgtdt0(W0,xR,xd))))&sdtmndtplgtdt0(xw,xR,xd))))&sdtmndtasgtdt0(xw,xR,xd))&(![W0]: ~aReductOfIn0(W0,xd,xR)))&aNormalFormOfIn0(xd,xw,xR)),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.12/0.41 fof(f221,plain,(
% 0.12/0.41 (((aElement0(xd)&(xw=xd|((aReductOfIn0(xd,xw,xR)|((aElement0(sK25_skl)&aReductOfIn0(sK25_skl,xw,xR))&sdtmndtplgtdt0(sK25_skl,xR,xd)))&sdtmndtplgtdt0(xw,xR,xd))))&sdtmndtasgtdt0(xw,xR,xd))&(![W0]: ~aReductOfIn0(W0,xd,xR)))&aNormalFormOfIn0(xd,xw,xR)),
% 0.12/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK25_skl]),skolemize(W0,sK25_skl)],[f220])).
% 0.12/0.41 fof(f228,plain,(
% 0.12/0.41 ![X0]: (~aReductOfIn0(X0,xd,xR))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f221])).
% 0.12/0.41 fof(f230,plain,(
% 0.12/0.41 (((aElement0(xx)&(xb=xx|((aReductOfIn0(xx,xb,xR)|((aElement0(sK26_skl)&aReductOfIn0(sK26_skl,xb,xR))&sdtmndtplgtdt0(sK26_skl,xR,xx)))&sdtmndtplgtdt0(xb,xR,xx))))&sdtmndtasgtdt0(xb,xR,xx))&(xd=xx|((aReductOfIn0(xx,xd,xR)|((aElement0(sK27_skl)&aReductOfIn0(sK27_skl,xd,xR))&sdtmndtplgtdt0(sK27_skl,xR,xx)))&sdtmndtplgtdt0(xd,xR,xx))))&sdtmndtasgtdt0(xd,xR,xx)),
% 0.12/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl]),skolemize(W0,sK26_skl),skolemize(W0,sK27_skl)],[f24])).
% 0.12/0.41 fof(f232,plain,(
% 0.12/0.41 xb=xx|aReductOfIn0(xx,xb,xR)|aElement0(sK26_skl)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f230])).
% 0.12/0.41 fof(f233,plain,(
% 0.12/0.41 xb=xx|aReductOfIn0(xx,xb,xR)|aReductOfIn0(sK26_skl,xb,xR)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f230])).
% 0.12/0.41 fof(f234,plain,(
% 0.12/0.41 xb=xx|aReductOfIn0(xx,xb,xR)|sdtmndtplgtdt0(sK26_skl,xR,xx)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f230])).
% 0.12/0.41 fof(f238,plain,(
% 0.12/0.41 xd=xx|aReductOfIn0(xx,xd,xR)|aReductOfIn0(sK27_skl,xd,xR)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f230])).
% 0.12/0.41 fof(f242,plain,(
% 0.12/0.41 ((((~xb=xd&~aReductOfIn0(xd,xb,xR))&(![W0]: ((~aElement0(W0)|~aReductOfIn0(W0,xb,xR))|~sdtmndtplgtdt0(W0,xR,xd))))&~sdtmndtplgtdt0(xb,xR,xd))&~sdtmndtasgtdt0(xb,xR,xd))),
% 0.12/0.41 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.12/0.41 fof(f243,plain,(
% 0.12/0.41 ~xb=xd),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f242])).
% 0.12/0.41 fof(f244,plain,(
% 0.12/0.41 ~aReductOfIn0(xd,xb,xR)),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f242])).
% 0.12/0.41 fof(f245,plain,(
% 0.12/0.41 ![X0]: (~aElement0(X0)|~aReductOfIn0(X0,xb,xR)|~sdtmndtplgtdt0(X0,xR,xd))),
% 0.12/0.41 inference(cnf_transformation,[status(thm)],[f242])).
% 0.12/0.41 fof(f399,definition,(
% 0.12/0.41 sQ38_spl <=> (xb=xx)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f400,plain,(
% 0.12/0.41 xb=xx|~sQ38_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f399])).
% 0.12/0.41 fof(f402,definition,(
% 0.12/0.41 sQ39_spl <=> (aReductOfIn0(xx,xb,xR))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f405,definition,(
% 0.12/0.41 sQ40_spl <=> (aElement0(sK26_skl))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f408,plain,(
% 0.12/0.41 sQ38_spl|sQ39_spl|sQ40_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f232,f399,f402,f405])).
% 0.12/0.41 fof(f409,definition,(
% 0.12/0.41 sQ41_spl <=> (aReductOfIn0(sK26_skl,xb,xR))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f410,plain,(
% 0.12/0.41 aReductOfIn0(sK26_skl,xb,xR)|~sQ41_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f409])).
% 0.12/0.41 fof(f412,plain,(
% 0.12/0.41 sQ38_spl|sQ39_spl|sQ41_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f233,f399,f402,f409])).
% 0.12/0.41 fof(f413,definition,(
% 0.12/0.41 sQ42_spl <=> (sdtmndtplgtdt0(sK26_skl,xR,xx))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f416,plain,(
% 0.12/0.41 sQ38_spl|sQ39_spl|sQ42_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f234,f399,f402,f413])).
% 0.12/0.41 fof(f421,definition,(
% 0.12/0.41 sQ44_spl <=> (xd=xx)),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f422,plain,(
% 0.12/0.41 xd=xx|~sQ44_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f421])).
% 0.12/0.41 fof(f424,definition,(
% 0.12/0.41 sQ45_spl <=> (aReductOfIn0(xx,xd,xR))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f425,plain,(
% 0.12/0.41 aReductOfIn0(xx,xd,xR)|~sQ45_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f424])).
% 0.12/0.41 fof(f431,definition,(
% 0.12/0.41 sQ47_spl <=> (aReductOfIn0(sK27_skl,xd,xR))),
% 0.12/0.41 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.12/0.41 fof(f432,plain,(
% 0.12/0.41 aReductOfIn0(sK27_skl,xd,xR)|~sQ47_spl),
% 0.12/0.41 inference(component_clause,[status(thm)],[f431])).
% 0.12/0.41 fof(f434,plain,(
% 0.12/0.41 sQ44_spl|sQ45_spl|sQ47_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f238,f421,f424,f431])).
% 0.12/0.41 fof(f532,plain,(
% 0.12/0.41 ~xb=xx|~sQ44_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f422,f243])).
% 0.12/0.41 fof(f535,plain,(
% 0.12/0.41 ~aReductOfIn0(xx,xb,xR)|~sQ44_spl),
% 0.12/0.41 inference(backward_demodulation,[status(thm)],[f422,f244])).
% 0.12/0.41 fof(f544,plain,(
% 0.12/0.41 ~xx=xx|~sQ38_spl|~sQ44_spl),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f400,f532])).
% 0.12/0.41 fof(f545,plain,(
% 0.12/0.41 $false|~sQ38_spl|~sQ44_spl),
% 0.12/0.41 inference(trivial_equality_resolution,[status(thm)],[f544])).
% 0.12/0.41 fof(f546,plain,(
% 0.12/0.41 ~sQ38_spl|~sQ44_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f545])).
% 0.12/0.41 fof(f587,plain,(
% 0.12/0.41 $false|~sQ45_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f425,f228])).
% 0.12/0.41 fof(f588,plain,(
% 0.12/0.41 ~sQ45_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f587])).
% 0.12/0.41 fof(f591,plain,(
% 0.12/0.41 ~sQ39_spl|~sQ44_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f535,f402,f421])).
% 0.12/0.41 fof(f592,plain,(
% 0.12/0.41 $false|~sQ47_spl),
% 0.12/0.41 inference(forward_subsumption_resolution,[status(thm)],[f432,f228])).
% 0.12/0.41 fof(f593,plain,(
% 0.12/0.41 ~sQ47_spl),
% 0.12/0.41 inference(contradiction_clause,[status(thm)],[f592])).
% 0.12/0.41 fof(f625,plain,(
% 0.12/0.41 ![X0]: (~aElement0(X0)|~aReductOfIn0(X0,xb,xR)|~sdtmndtplgtdt0(X0,xR,xx)|~sQ44_spl)),
% 0.12/0.41 inference(forward_demodulation,[status(thm)],[f422,f245])).
% 0.12/0.41 fof(f626,plain,(
% 0.12/0.41 ~aElement0(sK26_skl)|~sdtmndtplgtdt0(sK26_skl,xR,xx)|~sQ44_spl|~sQ41_spl),
% 0.12/0.41 inference(resolution,[status(thm)],[f625,f410])).
% 0.12/0.41 fof(f627,plain,(
% 0.12/0.41 ~sQ40_spl|~sQ42_spl|~sQ44_spl|~sQ41_spl),
% 0.12/0.41 inference(split_clause,[status(thm)],[f626,f405,f413,f421,f409])).
% 0.12/0.41 fof(f628,plain,(
% 0.12/0.41 $false),
% 0.12/0.41 inference(sat_refutation,[status(thm)],[f408,f412,f416,f434,f546,f588,f591,f593,f627])).
% 0.12/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.068352 seconds
% 0.12/0.43 % CPU time: 0.288343 seconds
% 0.12/0.43 % Total memory used: 89.926 MB
% 0.12/0.43 % Net memory used: 89.403 MB
%------------------------------------------------------------------------------