%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU444+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 1.92s 1.23s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU444+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.51 % Computer : n010.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8046.5625MB
% 0.09/0.51 % OS : Linux 6.8.0-71-generic
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Mon Sep 21 06:33:41 UTC 2026
% 0.09/0.51 % CPUTime :
% 0.49/0.93 % Drodi V4.1.1
% 1.92/1.23 % Refutation found
% 1.92/1.23 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.92/1.23 % SZS output start CNFRefutation for theBenchmark
% 1.92/1.23 fof(f4523,axiom,(
% 1.92/1.23 (! [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) ) ) )),
% 1.92/1.23 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.92/1.23 fof(f4528,conjecture,(
% 1.92/1.23 (! [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)) ) ) )),
% 1.92/1.23 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.92/1.23 fof(f4529,negated_conjecture,(
% 1.92/1.23 ~((! [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)) ) ) ))),
% 1.92/1.23 inference(negated_conjecture,[status(cth)],[f4528])).
% 1.92/1.23 fof(f17711,plain,(
% 1.92/1.23 ![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)))),
% 1.92/1.23 inference(pre_NNF_transformation,[status(thm)],[f4523])).
% 1.92/1.23 fof(f17712,plain,(
% 1.92/1.23 ![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))),
% 1.92/1.23 inference(cnf_transformation,[status(thm)],[f17711])).
% 1.92/1.23 fof(f17713,plain,(
% 1.92/1.23 ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|k2_funct_5(X0)=k10_relset_1(X1,X2,X0,X1))),
% 1.92/1.23 inference(cnf_transformation,[status(thm)],[f17711])).
% 1.92/1.23 fof(f17732,plain,(
% 1.92/1.23 (?[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)))))),
% 1.92/1.23 inference(pre_NNF_transformation,[status(thm)],[f4529])).
% 1.92/1.23 fof(f17733,plain,(
% 1.92/1.23 (m2_relset_1(sK1213_skl,sK1212_skl,sK1211_skl)&(~k1_funct_5(sK1213_skl)=k10_relset_1(sK1211_skl,sK1212_skl,k6_relset_1(sK1212_skl,sK1211_skl,sK1213_skl),sK1211_skl)|~k10_relset_1(sK1211_skl,sK1212_skl,k6_relset_1(sK1212_skl,sK1211_skl,sK1213_skl),k10_relset_1(sK1212_skl,sK1211_skl,sK1213_skl,sK1212_skl))=k10_relset_1(sK1211_skl,sK1212_skl,k6_relset_1(sK1212_skl,sK1211_skl,sK1213_skl),k2_funct_5(sK1213_skl))))),
% 1.92/1.23 inference(skolemize,[status(esa),new_symbols(skolem,[sK1211_skl,sK1212_skl,sK1213_skl]),skolemize(A,sK1211_skl),skolemize(B,sK1212_skl),skolemize(C,sK1213_skl)],[f17732])).
% 1.92/1.23 fof(f17734,plain,(
% 1.92/1.23 m2_relset_1(sK1213_skl,sK1212_skl,sK1211_skl)),
% 1.92/1.23 inference(cnf_transformation,[status(thm)],[f17733])).
% 1.92/1.23 fof(f17735,plain,(
% 1.92/1.23 ~k1_funct_5(sK1213_skl)=k10_relset_1(sK1211_skl,sK1212_skl,k6_relset_1(sK1212_skl,sK1211_skl,sK1213_skl),sK1211_skl)|~k10_relset_1(sK1211_skl,sK1212_skl,k6_relset_1(sK1212_skl,sK1211_skl,sK1213_skl),k10_relset_1(sK1212_skl,sK1211_skl,sK1213_skl,sK1212_skl))=k10_relset_1(sK1211_skl,sK1212_skl,k6_relset_1(sK1212_skl,sK1211_skl,sK1213_skl),k2_funct_5(sK1213_skl))),
% 1.92/1.23 inference(cnf_transformation,[status(thm)],[f17733])).
% 1.92/1.23 fof(f19335,plain,(
% 1.92/1.23 k2_funct_5(sK1213_skl)=k10_relset_1(sK1212_skl,sK1211_skl,sK1213_skl,sK1212_skl)),
% 1.92/1.23 inference(resolution,[status(thm)],[f17713,f17734])).
% 1.92/1.23 fof(f19386,plain,(
% 1.92/1.23 ~k1_funct_5(sK1213_skl)=k10_relset_1(sK1211_skl,sK1212_skl,k6_relset_1(sK1212_skl,sK1211_skl,sK1213_skl),sK1211_skl)|~k10_relset_1(sK1211_skl,sK1212_skl,k6_relset_1(sK1212_skl,sK1211_skl,sK1213_skl),k2_funct_5(sK1213_skl))=k10_relset_1(sK1211_skl,sK1212_skl,k6_relset_1(sK1212_skl,sK1211_skl,sK1213_skl),k2_funct_5(sK1213_skl))),
% 1.92/1.23 inference(backward_demodulation,[status(thm)],[f19335,f17735])).
% 1.92/1.23 fof(f19387,plain,(
% 1.92/1.23 ~k1_funct_5(sK1213_skl)=k10_relset_1(sK1211_skl,sK1212_skl,k6_relset_1(sK1212_skl,sK1211_skl,sK1213_skl),sK1211_skl)),
% 1.92/1.23 inference(trivial_equality_resolution,[status(thm)],[f19386])).
% 1.92/1.23 fof(f19566,plain,(
% 1.92/1.23 k1_funct_5(sK1213_skl)=k10_relset_1(sK1211_skl,sK1212_skl,k6_relset_1(sK1212_skl,sK1211_skl,sK1213_skl),sK1211_skl)),
% 1.92/1.23 inference(resolution,[status(thm)],[f17712,f17734])).
% 1.92/1.23 fof(f19568,plain,(
% 1.92/1.23 $false),
% 1.92/1.23 inference(forward_subsumption_resolution,[status(thm)],[f19566,f19387])).
% 1.92/1.23 % SZS output end CNFRefutation for theBenchmark.p
% 0.61/1.27 % Elapsed time: 0.745444 seconds
% 0.61/1.27 % CPU time: 2.377015 seconds
% 0.61/1.27 % Total memory used: 743.697 MB
% 0.61/1.27 % Net memory used: 737.884 MB
%------------------------------------------------------------------------------