%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU151+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU151+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:51:06 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f2,axiom,(
% 0.12/0.39 (! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,conjecture,(
% 0.12/0.39 (! [A,B,C,D] :~ ( unordered_pair(A,B) = unordered_pair(C,D)& A != C& A != D ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,negated_conjecture,(
% 0.12/0.39 ~((! [A,B,C,D] :~ ( unordered_pair(A,B) = unordered_pair(C,D)& A != C& A != D ) ))),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f6])).
% 0.12/0.39 fof(f10,plain,(
% 0.12/0.39 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.39 fof(f11,plain,(
% 0.12/0.39 ![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))))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f12,plain,(
% 0.12/0.39 (![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))))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f11])).
% 0.12/0.39 fof(f13,plain,(
% 0.12/0.39 (![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(sK0_skl(C,B,A),C)|(~sK0_skl(C,B,A)=A&~sK0_skl(C,B,A)=B))&(in(sK0_skl(C,B,A),C)|(sK0_skl(C,B,A)=A|sK0_skl(C,B,A)=B)))))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B,A))],[f12])).
% 0.12/0.39 fof(f14,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|~in(X3,X0)|X3=X1|X3=X2)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f15,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f24,plain,(
% 0.12/0.39 (?[A,B,C,D]: ((unordered_pair(A,B)=unordered_pair(C,D)&~A=C)&~A=D))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f25,plain,(
% 0.12/0.39 ?[A,D]: ((?[C]: ((?[B]: unordered_pair(A,B)=unordered_pair(C,D))&~A=C))&~A=D)),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f24])).
% 0.12/0.39 fof(f26,plain,(
% 0.12/0.39 ((unordered_pair(sK3_skl,sK6_skl)=unordered_pair(sK5_skl,sK4_skl)&~sK3_skl=sK5_skl)&~sK3_skl=sK4_skl)),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK3_skl),skolemize(D,sK4_skl),skolemize(C,sK5_skl),skolemize(B,sK6_skl)],[f25])).
% 0.12/0.39 fof(f27,plain,(
% 0.12/0.39 unordered_pair(sK3_skl,sK6_skl)=unordered_pair(sK5_skl,sK4_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.39 fof(f28,plain,(
% 0.12/0.39 ~sK3_skl=sK5_skl),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.39 fof(f29,plain,(
% 0.12/0.39 ~sK3_skl=sK4_skl),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f26])).
% 0.12/0.39 fof(f30,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~in(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f14])).
% 0.12/0.39 fof(f31,plain,(
% 0.12/0.39 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 0.12/0.39 inference(destructive_equality_resolution,[status(thm)],[f15])).
% 0.12/0.39 fof(f33,plain,(
% 0.12/0.39 unordered_pair(sK5_skl,sK4_skl)=unordered_pair(sK6_skl,sK3_skl)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f27,f10])).
% 0.12/0.39 fof(f42,plain,(
% 0.12/0.39 in(sK5_skl,unordered_pair(sK6_skl,sK3_skl))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f33,f31])).
% 0.12/0.39 fof(f43,plain,(
% 0.12/0.39 ![X0,X1]: (in(X0,unordered_pair(X1,X0)))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f10,f31])).
% 0.12/0.39 fof(f45,plain,(
% 0.12/0.39 in(sK4_skl,unordered_pair(sK6_skl,sK3_skl))),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f33,f43])).
% 0.12/0.39 fof(f58,plain,(
% 0.12/0.39 sK4_skl=sK6_skl|sK4_skl=sK3_skl),
% 0.12/0.39 inference(resolution,[status(thm)],[f30,f45])).
% 0.12/0.39 fof(f59,plain,(
% 0.12/0.39 sK5_skl=sK6_skl|sK5_skl=sK3_skl),
% 0.12/0.39 inference(resolution,[status(thm)],[f30,f42])).
% 0.12/0.39 fof(f65,definition,(
% 0.12/0.39 sQ0_spl <=> (sK4_skl=sK6_skl)),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f66,plain,(
% 0.12/0.39 sK4_skl=sK6_skl|~sQ0_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f65])).
% 0.12/0.40 fof(f68,definition,(
% 0.12/0.40 sQ1_spl <=> (sK4_skl=sK3_skl)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f69,plain,(
% 0.12/0.40 sK4_skl=sK3_skl|~sQ1_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f68])).
% 0.12/0.40 fof(f71,plain,(
% 0.12/0.40 sQ0_spl|sQ1_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f58,f65,f68])).
% 0.12/0.40 fof(f72,definition,(
% 0.12/0.40 sQ2_spl <=> (sK5_skl=sK6_skl)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f73,plain,(
% 0.12/0.40 sK5_skl=sK6_skl|~sQ2_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f72])).
% 0.12/0.40 fof(f75,definition,(
% 0.12/0.40 sQ3_spl <=> (sK5_skl=sK3_skl)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f76,plain,(
% 0.12/0.40 sK5_skl=sK3_skl|~sQ3_spl),
% 0.12/0.40 inference(component_clause,[status(thm)],[f75])).
% 0.12/0.40 fof(f78,plain,(
% 0.12/0.40 sQ2_spl|sQ3_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f59,f72,f75])).
% 0.12/0.40 fof(f81,plain,(
% 0.12/0.40 unordered_pair(sK6_skl,sK4_skl)=unordered_pair(sK6_skl,sK3_skl)|~sQ2_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f73,f33])).
% 0.12/0.40 fof(f85,plain,(
% 0.12/0.40 ~sK3_skl=sK6_skl|~sQ0_spl),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f66,f29])).
% 0.12/0.40 fof(f86,plain,(
% 0.12/0.40 unordered_pair(sK6_skl,sK6_skl)=unordered_pair(sK6_skl,sK3_skl)|~sQ0_spl|~sQ2_spl),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f66,f81])).
% 0.12/0.40 fof(f90,plain,(
% 0.12/0.40 in(sK3_skl,unordered_pair(sK6_skl,sK6_skl))|~sQ0_spl|~sQ2_spl),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f86,f43])).
% 0.12/0.40 fof(f92,plain,(
% 0.12/0.40 sK3_skl=sK6_skl|sK3_skl=sK6_skl|~sQ0_spl|~sQ2_spl),
% 0.12/0.40 inference(resolution,[status(thm)],[f90,f30])).
% 0.12/0.40 fof(f94,definition,(
% 0.12/0.40 sQ4_spl <=> (sK3_skl=sK6_skl)),
% 0.12/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.40 fof(f97,plain,(
% 0.12/0.40 sQ4_spl|~sQ0_spl|~sQ2_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f92,f94,f65,f72])).
% 0.12/0.40 fof(f118,plain,(
% 0.12/0.40 $false|~sQ1_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f69,f29])).
% 0.12/0.40 fof(f119,plain,(
% 0.12/0.40 ~sQ1_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f118])).
% 0.12/0.40 fof(f120,plain,(
% 0.12/0.40 ~sQ4_spl|~sQ0_spl),
% 0.12/0.40 inference(split_clause,[status(thm)],[f85,f94,f65])).
% 0.12/0.40 fof(f127,plain,(
% 0.12/0.40 $false|~sQ3_spl),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f76,f28])).
% 0.12/0.40 fof(f128,plain,(
% 0.12/0.40 ~sQ3_spl),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f127])).
% 0.12/0.40 fof(f129,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f71,f78,f97,f119,f120,f128])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.44 % Elapsed time: 0.075578 seconds
% 0.12/0.44 % CPU time: 0.203131 seconds
% 0.12/0.44 % Total memory used: 101.358 MB
% 0.12/0.44 % Net memory used: 100.866 MB
%------------------------------------------------------------------------------