%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU267+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:22:11 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU267+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.32 % Computer : n019.cluster.edu
% 0.08/0.32 % Model : x86_64 x86_64
% 0.08/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.32 % Memory : 8046.5625MB
% 0.08/0.32 % OS : Linux 6.8.0-71-generic
% 0.08/0.32 % CPULimit : 300
% 0.08/0.32 % WCLimit : 300
% 0.08/0.32 % DateTime : Mon Sep 21 06:05:04 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f26,axiom,(
% 0.12/0.38 (! [A] :( (? [B,C] : A = ordered_pair(B,C))=> (! [B] :( B = pair_first(A)<=> (! [C,D] :( A = ordered_pair(C,D)=> B = C ) )) )) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f36,axiom,(
% 0.12/0.38 (! [A] :( (? [B,C] : A = ordered_pair(B,C))=> (! [B] :( B = pair_second(A)<=> (! [C,D] :( A = ordered_pair(C,D)=> B = D ) )) )) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f325,conjecture,(
% 0.12/0.38 (! [A,B] :( pair_first(ordered_pair(A,B)) = A& pair_second(ordered_pair(A,B)) = B ) )),
% 0.12/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f326,negated_conjecture,(
% 0.12/0.38 ~((! [A,B] :( pair_first(ordered_pair(A,B)) = A& pair_second(ordered_pair(A,B)) = B ) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f325])).
% 0.12/0.38 fof(f470,plain,(
% 0.12/0.38 ![A]: ((![B,C]: ~A=ordered_pair(B,C))|(![B]: (B=pair_first(A)<=>(![C,D]: (~A=ordered_pair(C,D)|B=C)))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.12/0.38 fof(f471,plain,(
% 0.12/0.38 ![A]: ((![B,C]: ~A=ordered_pair(B,C))|(![B]: ((~B=pair_first(A)|(![C,D]: (~A=ordered_pair(C,D)|B=C)))&(B=pair_first(A)|(?[C,D]: (A=ordered_pair(C,D)&~B=C))))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f470])).
% 0.12/0.38 fof(f472,plain,(
% 0.12/0.38 ![A]: ((![B,C]: ~A=ordered_pair(B,C))|((![B]: (~B=pair_first(A)|(![C]: ((![D]: ~A=ordered_pair(C,D))|B=C))))&(![B]: (B=pair_first(A)|(?[C]: ((?[D]: A=ordered_pair(C,D))&~B=C))))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f471])).
% 0.12/0.38 fof(f473,plain,(
% 0.12/0.38 ![A]: ((![B,C]: ~A=ordered_pair(B,C))|((![B]: (~B=pair_first(A)|(![C]: ((![D]: ~A=ordered_pair(C,D))|B=C))))&(![B]: (B=pair_first(A)|(A=ordered_pair(sK17_skl(B,A),sK18_skl(B,A))&~B=sK17_skl(B,A))))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl]),skolemize(C,sK17_skl(B,A)),skolemize(D,sK18_skl(B,A))],[f472])).
% 0.12/0.38 fof(f474,plain,(
% 0.12/0.38 ![X0,X1,X2,X3,X4,X5]: (~X0=ordered_pair(X1,X2)|~X3=pair_first(X0)|~X0=ordered_pair(X4,X5)|X3=X4)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f473])).
% 0.12/0.38 fof(f537,plain,(
% 0.12/0.38 ![A]: ((![B,C]: ~A=ordered_pair(B,C))|(![B]: (B=pair_second(A)<=>(![C,D]: (~A=ordered_pair(C,D)|B=D)))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 0.12/0.38 fof(f538,plain,(
% 0.12/0.38 ![A]: ((![B,C]: ~A=ordered_pair(B,C))|(![B]: ((~B=pair_second(A)|(![C,D]: (~A=ordered_pair(C,D)|B=D)))&(B=pair_second(A)|(?[C,D]: (A=ordered_pair(C,D)&~B=D))))))),
% 0.12/0.38 inference(NNF_transformation,[status(thm)],[f537])).
% 0.12/0.38 fof(f539,plain,(
% 0.12/0.38 ![A]: ((![B,C]: ~A=ordered_pair(B,C))|((![B]: (~B=pair_second(A)|(![D]: ((![C]: ~A=ordered_pair(C,D))|B=D))))&(![B]: (B=pair_second(A)|(?[D]: ((?[C]: A=ordered_pair(C,D))&~B=D))))))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f538])).
% 0.12/0.38 fof(f540,plain,(
% 0.12/0.38 ![A]: ((![B,C]: ~A=ordered_pair(B,C))|((![B]: (~B=pair_second(A)|(![D]: ((![C]: ~A=ordered_pair(C,D))|B=D))))&(![B]: (B=pair_second(A)|(A=ordered_pair(sK31_skl(B,A),sK30_skl(B,A))&~B=sK30_skl(B,A))))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK30_skl,sK31_skl]),skolemize(D,sK30_skl(B,A)),skolemize(C,sK31_skl(B,A))],[f539])).
% 0.12/0.38 fof(f541,plain,(
% 0.12/0.38 ![X0,X1,X2,X3,X4,X5]: (~X0=ordered_pair(X1,X2)|~X3=pair_second(X0)|~X0=ordered_pair(X4,X5)|X3=X5)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f540])).
% 0.12/0.38 fof(f1526,plain,(
% 0.12/0.38 (?[A,B]: (~pair_first(ordered_pair(A,B))=A|~pair_second(ordered_pair(A,B))=B))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f326])).
% 0.12/0.38 fof(f1527,plain,(
% 0.12/0.38 (?[A,B]: ~pair_first(ordered_pair(A,B))=A)|(?[A,B]: ~pair_second(ordered_pair(A,B))=B)),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f1526])).
% 0.12/0.38 fof(f1528,plain,(
% 0.12/0.38 ~pair_first(ordered_pair(sK131_skl,sK132_skl))=sK131_skl|~pair_second(ordered_pair(sK133_skl,sK134_skl))=sK134_skl),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK131_skl,sK132_skl,sK133_skl,sK134_skl]),skolemize(A,sK131_skl),skolemize(B,sK132_skl),skolemize(A,sK133_skl),skolemize(B,sK134_skl)],[f1527])).
% 0.12/0.38 fof(f1529,plain,(
% 0.12/0.38 ~pair_first(ordered_pair(sK131_skl,sK132_skl))=sK131_skl|~pair_second(ordered_pair(sK133_skl,sK134_skl))=sK134_skl),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f1528])).
% 0.12/0.38 fof(f1645,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|pair_first(ordered_pair(X0,X1))=X2)),
% 0.12/0.38 inference(destructive_equality_resolution,[status(thm)],[f474])).
% 0.12/0.38 fof(f1661,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|pair_second(ordered_pair(X0,X1))=X3)),
% 0.12/0.38 inference(destructive_equality_resolution,[status(thm)],[f541])).
% 0.12/0.38 fof(f1723,plain,(
% 0.12/0.38 ![X0,X1]: (pair_second(ordered_pair(X0,X1))=X1)),
% 0.12/0.38 inference(equality_resolution,[status(thm)],[f1661])).
% 0.12/0.38 fof(f1724,plain,(
% 0.12/0.38 ~pair_first(ordered_pair(sK131_skl,sK132_skl))=sK131_skl|~sK134_skl=sK134_skl),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f1723,f1529])).
% 0.12/0.38 fof(f1726,plain,(
% 0.12/0.38 ~pair_first(ordered_pair(sK131_skl,sK132_skl))=sK131_skl),
% 0.12/0.38 inference(trivial_equality_resolution,[status(thm)],[f1724])).
% 0.12/0.38 fof(f1729,plain,(
% 0.12/0.38 ![X0]: (~ordered_pair(sK131_skl,sK132_skl)=ordered_pair(sK131_skl,X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f1726,f1645])).
% 0.12/0.38 fof(f1730,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(equality_resolution,[status(thm)],[f1729])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.072440 seconds
% 0.12/0.41 % CPU time: 0.162702 seconds
% 0.12/0.41 % Total memory used: 63.391 MB
% 0.12/0.41 % Net memory used: 63.147 MB
%------------------------------------------------------------------------------