%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU151+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 : 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 02:21:48 PM UTC 2026
% Result : Theorem 0.13s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU151+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
% 0.08/0.56 % Computer : n002.cluster.edu
% 0.08/0.56 % Model : x86_64 x86_64
% 0.08/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56 % Memory : 8046.5625MB
% 0.08/0.56 % OS : Linux 6.8.0-71-generic
% 0.08/0.56 % CPULimit : 300
% 0.08/0.56 % WCLimit : 300
% 0.08/0.56 % DateTime : Mon Sep 21 05:55:48 UTC 2026
% 0.08/0.56 % CPUTime :
% 0.08/0.58 % Drodi V4.1.1
% 0.13/0.60 % Refutation found
% 0.13/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.60 fof(f10,axiom,(
% 0.13/0.60 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f39,conjecture,(
% 0.13/0.60 (! [A,B,C,D] :~ ( unordered_pair(A,B) = unordered_pair(C,D)& A != C& A != D ) )),
% 0.13/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.60 fof(f40,negated_conjecture,(
% 0.13/0.60 ~((! [A,B,C,D] :~ ( unordered_pair(A,B) = unordered_pair(C,D)& A != C& A != D ) ))),
% 0.13/0.60 inference(negated_conjecture,[status(cth)],[f39])).
% 0.13/0.60 fof(f107,plain,(
% 0.13/0.60 ![A,B,C]: ((~C=unordered_pair(A,B)|(![D]: ((~in(D,C)|(D=A|D=B))&(in(D,C)|(~D=A&~D=B)))))&(C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 0.13/0.60 inference(NNF_transformation,[status(thm)],[f10])).
% 0.13/0.60 fof(f108,plain,(
% 0.13/0.60 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 0.13/0.60 inference(miniscoping,[status(thm)],[f107])).
% 0.13/0.60 fof(f109,plain,(
% 0.13/0.60 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|((~in(sK3_skl(C,B,A),C)|(~sK3_skl(C,B,A)=A&~sK3_skl(C,B,A)=B))&(in(sK3_skl(C,B,A),C)|(sK3_skl(C,B,A)=A|sK3_skl(C,B,A)=B)))))),
% 0.13/0.60 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(D,sK3_skl(C,B,A))],[f108])).
% 0.13/0.60 fof(f110,plain,(
% 0.13/0.60 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|~in(X3,X0)|X3=X1|X3=X2)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f109])).
% 0.13/0.60 fof(f111,plain,(
% 0.13/0.60 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f109])).
% 0.13/0.60 fof(f197,plain,(
% 0.13/0.60 (?[A,B,C,D]: ((unordered_pair(A,B)=unordered_pair(C,D)&~A=C)&~A=D))),
% 0.13/0.60 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.13/0.60 fof(f198,plain,(
% 0.13/0.60 ?[A,D]: ((?[C]: ((?[B]: unordered_pair(A,B)=unordered_pair(C,D))&~A=C))&~A=D)),
% 0.13/0.60 inference(miniscoping,[status(thm)],[f197])).
% 0.13/0.60 fof(f199,plain,(
% 0.13/0.60 ((unordered_pair(sK10_skl,sK13_skl)=unordered_pair(sK12_skl,sK11_skl)&~sK10_skl=sK12_skl)&~sK10_skl=sK11_skl)),
% 0.13/0.60 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl,sK12_skl,sK13_skl]),skolemize(A,sK10_skl),skolemize(D,sK11_skl),skolemize(C,sK12_skl),skolemize(B,sK13_skl)],[f198])).
% 0.13/0.60 fof(f200,plain,(
% 0.13/0.60 unordered_pair(sK10_skl,sK13_skl)=unordered_pair(sK12_skl,sK11_skl)),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f199])).
% 0.13/0.60 fof(f201,plain,(
% 0.13/0.60 ~sK10_skl=sK12_skl),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f199])).
% 0.13/0.60 fof(f202,plain,(
% 0.13/0.60 ~sK10_skl=sK11_skl),
% 0.13/0.60 inference(cnf_transformation,[status(thm)],[f199])).
% 0.13/0.60 fof(f289,plain,(
% 0.13/0.60 ![X0,X1,X2]: (~in(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.13/0.60 inference(destructive_equality_resolution,[status(thm)],[f110])).
% 0.13/0.60 fof(f290,plain,(
% 0.13/0.60 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 0.13/0.60 inference(destructive_equality_resolution,[status(thm)],[f111])).
% 0.13/0.60 fof(f304,plain,(
% 0.13/0.60 in(sK10_skl,unordered_pair(sK12_skl,sK11_skl))),
% 0.13/0.60 inference(paramodulation,[status(thm)],[f200,f290])).
% 0.13/0.60 fof(f343,plain,(
% 0.13/0.60 sK10_skl=sK12_skl|sK10_skl=sK11_skl),
% 0.13/0.60 inference(resolution,[status(thm)],[f289,f304])).
% 0.13/0.60 fof(f350,definition,(
% 0.13/0.60 sQ2_spl <=> (sK10_skl=sK12_skl)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f351,plain,(
% 0.13/0.60 sK10_skl=sK12_skl|~sQ2_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f350])).
% 0.13/0.60 fof(f353,definition,(
% 0.13/0.60 sQ3_spl <=> (sK10_skl=sK11_skl)),
% 0.13/0.60 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.60 fof(f354,plain,(
% 0.13/0.60 sK10_skl=sK11_skl|~sQ3_spl),
% 0.13/0.60 inference(component_clause,[status(thm)],[f353])).
% 0.13/0.60 fof(f356,plain,(
% 0.13/0.60 sQ2_spl|sQ3_spl),
% 0.13/0.60 inference(split_clause,[status(thm)],[f343,f350,f353])).
% 0.13/0.60 fof(f358,plain,(
% 0.13/0.60 $false|~sQ2_spl),
% 0.13/0.60 inference(forward_subsumption_resolution,[status(thm)],[f351,f201])).
% 0.13/0.60 fof(f359,plain,(
% 0.13/0.60 ~sQ2_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f358])).
% 0.13/0.60 fof(f360,plain,(
% 0.13/0.60 $false|~sQ3_spl),
% 0.13/0.60 inference(forward_subsumption_resolution,[status(thm)],[f354,f202])).
% 0.13/0.60 fof(f361,plain,(
% 0.13/0.60 ~sQ3_spl),
% 0.13/0.60 inference(contradiction_clause,[status(thm)],[f360])).
% 0.13/0.60 fof(f362,plain,(
% 0.13/0.60 $false),
% 0.13/0.60 inference(sat_refutation,[status(thm)],[f356,f359,f361])).
% 0.13/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.63 % Elapsed time: 0.062534 seconds
% 0.13/0.63 % CPU time: 0.171274 seconds
% 0.13/0.63 % Total memory used: 105.376 MB
% 0.13/0.63 % Net memory used: 105.292 MB
%------------------------------------------------------------------------------