%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU267+1 : 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 : n018.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 02:22:10 PM UTC 2026
% Result : Theorem 0.17s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU267+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.41 % Computer : n018.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.41 % CPULimit : 300
% 0.17/0.41 % WCLimit : 300
% 0.17/0.41 % DateTime : Mon Sep 21 06:06:58 UTC 2026
% 0.17/0.41 % CPUTime :
% 0.17/0.43 % Drodi V4.1.1
% 0.17/0.44 % Refutation found
% 0.17/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.44 fof(f17,conjecture,(
% 0.17/0.44 (! [A,B] :( pair_first(ordered_pair(A,B)) = A& pair_second(ordered_pair(A,B)) = B ) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f18,negated_conjecture,(
% 0.17/0.44 ~((! [A,B] :( pair_first(ordered_pair(A,B)) = A& pair_second(ordered_pair(A,B)) = B ) ))),
% 0.17/0.44 inference(negated_conjecture,[status(cth)],[f17])).
% 0.17/0.44 fof(f19,axiom,(
% 0.17/0.44 (! [A] :( (? [B,C] : A = ordered_pair(B,C))=> (! [B] :( B = pair_first(A)<=> (! [C,D] :( A = ordered_pair(C,D)=> B = C ) )) )) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f20,axiom,(
% 0.17/0.44 (! [A] :( (? [B,C] : A = ordered_pair(B,C))=> (! [B] :( B = pair_second(A)<=> (! [C,D] :( A = ordered_pair(C,D)=> B = D ) )) )) )),
% 0.17/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.44 fof(f43,plain,(
% 0.17/0.44 (?[A,B]: (~pair_first(ordered_pair(A,B))=A|~pair_second(ordered_pair(A,B))=B))),
% 0.17/0.44 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.17/0.45 fof(f44,plain,(
% 0.17/0.45 (?[A,B]: ~pair_first(ordered_pair(A,B))=A)|(?[A,B]: ~pair_second(ordered_pair(A,B))=B)),
% 0.17/0.45 inference(miniscoping,[status(thm)],[f43])).
% 0.17/0.45 fof(f45,plain,(
% 0.17/0.45 ~pair_first(ordered_pair(sK3_skl,sK4_skl))=sK3_skl|~pair_second(ordered_pair(sK5_skl,sK6_skl))=sK6_skl),
% 0.17/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl),skolemize(A,sK5_skl),skolemize(B,sK6_skl)],[f44])).
% 0.17/0.45 fof(f46,plain,(
% 0.17/0.45 ~pair_first(ordered_pair(sK3_skl,sK4_skl))=sK3_skl|~pair_second(ordered_pair(sK5_skl,sK6_skl))=sK6_skl),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f45])).
% 0.17/0.45 fof(f47,plain,(
% 0.17/0.45 ![A]: ((![B,C]: ~A=ordered_pair(B,C))|(![B]: (B=pair_first(A)<=>(![C,D]: (~A=ordered_pair(C,D)|B=C)))))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.17/0.45 fof(f48,plain,(
% 0.17/0.45 ![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))))))),
% 0.17/0.45 inference(NNF_transformation,[status(thm)],[f47])).
% 0.17/0.45 fof(f49,plain,(
% 0.17/0.45 ![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))))))),
% 0.17/0.45 inference(miniscoping,[status(thm)],[f48])).
% 0.17/0.45 fof(f50,plain,(
% 0.17/0.45 ![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(sK7_skl(B,A),sK8_skl(B,A))&~B=sK7_skl(B,A))))))),
% 0.17/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(C,sK7_skl(B,A)),skolemize(D,sK8_skl(B,A))],[f49])).
% 0.17/0.45 fof(f51,plain,(
% 0.17/0.45 ![X0,X1,X2,X3,X4,X5]: (~X0=ordered_pair(X1,X2)|~X3=pair_first(X0)|~X0=ordered_pair(X4,X5)|X3=X4)),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f50])).
% 0.17/0.45 fof(f54,plain,(
% 0.17/0.45 ![A]: ((![B,C]: ~A=ordered_pair(B,C))|(![B]: (B=pair_second(A)<=>(![C,D]: (~A=ordered_pair(C,D)|B=D)))))),
% 0.17/0.45 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.17/0.45 fof(f55,plain,(
% 0.17/0.45 ![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))))))),
% 0.17/0.45 inference(NNF_transformation,[status(thm)],[f54])).
% 0.17/0.45 fof(f56,plain,(
% 0.17/0.45 ![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))))))),
% 0.17/0.45 inference(miniscoping,[status(thm)],[f55])).
% 0.17/0.45 fof(f57,plain,(
% 0.17/0.45 ![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(sK10_skl(B,A),sK9_skl(B,A))&~B=sK9_skl(B,A))))))),
% 0.17/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl]),skolemize(D,sK9_skl(B,A)),skolemize(C,sK10_skl(B,A))],[f56])).
% 0.17/0.45 fof(f58,plain,(
% 0.17/0.45 ![X0,X1,X2,X3,X4,X5]: (~X0=ordered_pair(X1,X2)|~X3=pair_second(X0)|~X0=ordered_pair(X4,X5)|X3=X5)),
% 0.17/0.45 inference(cnf_transformation,[status(thm)],[f57])).
% 0.17/0.45 fof(f61,plain,(
% 0.17/0.45 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|pair_first(ordered_pair(X0,X1))=X2)),
% 0.17/0.45 inference(destructive_equality_resolution,[status(thm)],[f51])).
% 0.17/0.45 fof(f64,plain,(
% 0.17/0.45 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|pair_second(ordered_pair(X0,X1))=X3)),
% 0.17/0.45 inference(destructive_equality_resolution,[status(thm)],[f58])).
% 0.17/0.45 fof(f67,plain,(
% 0.17/0.45 ![X0,X1]: (pair_first(ordered_pair(X0,X1))=X0)),
% 0.17/0.45 inference(equality_resolution,[status(thm)],[f61])).
% 0.17/0.45 fof(f68,plain,(
% 0.17/0.45 ![X0,X1]: (pair_second(ordered_pair(X0,X1))=X1)),
% 0.17/0.45 inference(equality_resolution,[status(thm)],[f64])).
% 0.17/0.45 fof(f69,plain,(
% 0.17/0.45 ~sK3_skl=sK3_skl|~pair_second(ordered_pair(sK5_skl,sK6_skl))=sK6_skl),
% 0.17/0.45 inference(backward_demodulation,[status(thm)],[f67,f46])).
% 0.17/0.45 fof(f71,plain,(
% 0.17/0.45 ~pair_second(ordered_pair(sK5_skl,sK6_skl))=sK6_skl),
% 0.17/0.45 inference(trivial_equality_resolution,[status(thm)],[f69])).
% 0.17/0.45 fof(f73,plain,(
% 0.17/0.45 ~sK6_skl=sK6_skl),
% 0.17/0.45 inference(forward_demodulation,[status(thm)],[f68,f71])).
% 0.17/0.45 fof(f74,plain,(
% 0.17/0.45 $false),
% 0.17/0.45 inference(trivial_equality_resolution,[status(thm)],[f73])).
% 0.17/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.47 % Elapsed time: 0.053429 seconds
% 0.17/0.47 % CPU time: 0.146595 seconds
% 0.17/0.47 % Total memory used: 42.698 MB
% 0.17/0.47 % Net memory used: 42.462 MB
%------------------------------------------------------------------------------