%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU444+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 02:22:43 PM UTC 2026
% Result : Theorem 16.37s 5.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU444+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 06:33:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 3.05/3.39 % Drodi V4.1.1
% 16.37/5.36 % Refutation found
% 16.37/5.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.37/5.36 % SZS output start CNFRefutation for theBenchmark
% 16.37/5.36 fof(f1372,axiom,(
% 16.37/5.36 (! [A,B,C] :( m2_relset_1(C,A,B)=> ( k10_relset_1(A,B,C,A) = k5_relset_1(A,B,C)& k11_relset_1(A,B,C,B) = k4_relset_1(A,B,C) ) ) )),
% 16.37/5.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.37/5.36 fof(f19122,axiom,(
% 16.37/5.36 (! [A,B,C] :( m2_relset_1(C,B,A)=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)& k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ) )),
% 16.37/5.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.37/5.36 fof(f19127,conjecture,(
% 16.37/5.36 (! [A,B,C] :( m2_relset_1(C,B,A)=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)& k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ) ) )),
% 16.37/5.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.37/5.36 fof(f19128,negated_conjecture,(
% 16.37/5.36 ~((! [A,B,C] :( m2_relset_1(C,B,A)=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)& k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ) ) ))),
% 16.37/5.36 inference(negated_conjecture,[status(cth)],[f19127])).
% 16.37/5.36 fof(f22574,plain,(
% 16.37/5.36 ![A,B,C]: (~m2_relset_1(C,A,B)|(k10_relset_1(A,B,C,A)=k5_relset_1(A,B,C)&k11_relset_1(A,B,C,B)=k4_relset_1(A,B,C)))),
% 16.37/5.36 inference(pre_NNF_transformation,[status(thm)],[f1372])).
% 16.37/5.36 fof(f22575,plain,(
% 16.37/5.36 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|k10_relset_1(X1,X2,X0,X1)=k5_relset_1(X1,X2,X0))),
% 16.37/5.36 inference(cnf_transformation,[status(thm)],[f22574])).
% 16.37/5.36 fof(f89432,plain,(
% 16.37/5.36 ![A,B,C]: (~m2_relset_1(C,B,A)|(k1_funct_5(C)=k10_relset_1(A,B,k6_relset_1(B,A,C),A)&k2_funct_5(C)=k10_relset_1(B,A,C,B)))),
% 16.37/5.36 inference(pre_NNF_transformation,[status(thm)],[f19122])).
% 16.37/5.36 fof(f89433,plain,(
% 16.37/5.36 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|k1_funct_5(X0)=k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2))),
% 16.37/5.36 inference(cnf_transformation,[status(thm)],[f89432])).
% 16.37/5.36 fof(f89434,plain,(
% 16.37/5.36 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|k2_funct_5(X0)=k10_relset_1(X1,X2,X0,X1))),
% 16.37/5.36 inference(cnf_transformation,[status(thm)],[f89432])).
% 16.37/5.36 fof(f89453,plain,(
% 16.37/5.36 (?[A,B,C]: (m2_relset_1(C,B,A)&(~k1_funct_5(C)=k10_relset_1(A,B,k6_relset_1(B,A,C),A)|~k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B))=k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)))))),
% 16.37/5.36 inference(pre_NNF_transformation,[status(thm)],[f19128])).
% 16.37/5.36 fof(f89454,plain,(
% 16.37/5.36 (m2_relset_1(sK6530_skl,sK6529_skl,sK6528_skl)&(~k1_funct_5(sK6530_skl)=k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),sK6528_skl)|~k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k10_relset_1(sK6529_skl,sK6528_skl,sK6530_skl,sK6529_skl))=k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl))))),
% 16.37/5.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK6528_skl,sK6529_skl,sK6530_skl]),skolemize(A,sK6528_skl),skolemize(B,sK6529_skl),skolemize(C,sK6530_skl)],[f89453])).
% 16.37/5.36 fof(f89455,plain,(
% 16.37/5.36 m2_relset_1(sK6530_skl,sK6529_skl,sK6528_skl)),
% 16.37/5.36 inference(cnf_transformation,[status(thm)],[f89454])).
% 16.37/5.36 fof(f89456,plain,(
% 16.37/5.36 ~k1_funct_5(sK6530_skl)=k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),sK6528_skl)|~k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k10_relset_1(sK6529_skl,sK6528_skl,sK6530_skl,sK6529_skl))=k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl))),
% 16.37/5.36 inference(cnf_transformation,[status(thm)],[f89454])).
% 16.37/5.36 fof(f101483,definition,(
% 16.37/5.36 sQ1443_spl <=> (k1_funct_5(sK6530_skl)=k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),sK6528_skl))),
% 16.37/5.36 introduced(definition,[new_symbols(definition,[sQ1443_spl])],[split_symbol_definition])).
% 16.37/5.36 fof(f101485,plain,(
% 16.37/5.36 ~k1_funct_5(sK6530_skl)=k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),sK6528_skl)|sQ1443_spl),
% 16.37/5.36 inference(component_clause,[status(thm)],[f101483])).
% 16.37/5.36 fof(f101486,definition,(
% 16.37/5.36 sQ1444_spl <=> (k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k10_relset_1(sK6529_skl,sK6528_skl,sK6530_skl,sK6529_skl))=k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl)))),
% 17.70/5.63 introduced(definition,[new_symbols(definition,[sQ1444_spl])],[split_symbol_definition])).
% 17.70/5.63 fof(f101488,plain,(
% 17.70/5.63 ~k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k10_relset_1(sK6529_skl,sK6528_skl,sK6530_skl,sK6529_skl))=k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl))|sQ1444_spl),
% 17.70/5.63 inference(component_clause,[status(thm)],[f101486])).
% 17.70/5.63 fof(f101489,plain,(
% 17.70/5.63 ~sQ1443_spl|~sQ1444_spl),
% 17.70/5.63 inference(split_clause,[status(thm)],[f89456,f101483,f101486])).
% 17.70/5.63 fof(f107128,plain,(
% 17.70/5.63 k10_relset_1(sK6529_skl,sK6528_skl,sK6530_skl,sK6529_skl)=k5_relset_1(sK6529_skl,sK6528_skl,sK6530_skl)),
% 17.70/5.63 inference(resolution,[status(thm)],[f22575,f89455])).
% 17.70/5.63 fof(f107139,plain,(
% 17.70/5.63 ~k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k5_relset_1(sK6529_skl,sK6528_skl,sK6530_skl))=k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl))|sQ1444_spl),
% 17.70/5.63 inference(backward_demodulation,[status(thm)],[f107128,f101488])).
% 17.70/5.63 fof(f107211,plain,(
% 17.70/5.63 k2_funct_5(sK6530_skl)=k10_relset_1(sK6529_skl,sK6528_skl,sK6530_skl,sK6529_skl)),
% 17.70/5.63 inference(resolution,[status(thm)],[f89434,f89455])).
% 17.70/5.63 fof(f107240,plain,(
% 17.70/5.63 k2_funct_5(sK6530_skl)=k5_relset_1(sK6529_skl,sK6528_skl,sK6530_skl)),
% 17.70/5.63 inference(backward_demodulation,[status(thm)],[f107211,f107128])).
% 17.70/5.63 fof(f107241,plain,(
% 17.70/5.63 ~k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl))=k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),k2_funct_5(sK6530_skl))|sQ1444_spl),
% 17.70/5.63 inference(backward_demodulation,[status(thm)],[f107240,f107139])).
% 17.70/5.63 fof(f107243,plain,(
% 17.70/5.63 $false|sQ1444_spl),
% 17.70/5.63 inference(trivial_equality_resolution,[status(thm)],[f107241])).
% 17.70/5.63 fof(f107244,plain,(
% 17.70/5.63 sQ1444_spl),
% 17.70/5.63 inference(contradiction_clause,[status(thm)],[f107243])).
% 17.70/5.63 fof(f108197,plain,(
% 17.70/5.63 k1_funct_5(sK6530_skl)=k10_relset_1(sK6528_skl,sK6529_skl,k6_relset_1(sK6529_skl,sK6528_skl,sK6530_skl),sK6528_skl)),
% 17.70/5.63 inference(resolution,[status(thm)],[f89433,f89455])).
% 17.70/5.63 fof(f108198,plain,(
% 17.70/5.63 $false|sQ1443_spl),
% 17.70/5.63 inference(forward_subsumption_resolution,[status(thm)],[f108197,f101485])).
% 17.70/5.63 fof(f108199,plain,(
% 17.70/5.63 sQ1443_spl),
% 17.70/5.63 inference(contradiction_clause,[status(thm)],[f108198])).
% 17.70/5.63 fof(f108200,plain,(
% 17.70/5.63 $false),
% 17.70/5.63 inference(sat_refutation,[status(thm)],[f101489,f107244,f108199])).
% 17.70/5.63 % SZS output end CNFRefutation for theBenchmark.p
% 7.36/5.98 % Elapsed time: 5.542601 seconds
% 7.36/5.98 % CPU time: 19.181612 seconds
% 7.36/5.98 % Total memory used: 5.307 GB
% 7.36/5.98 % Net memory used: 5.275 GB
%------------------------------------------------------------------------------