%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU430+1 : 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 : n016.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 02:22:39 PM UTC 2026
% Result : Theorem 0.17s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU430+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n016.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 06:32:52 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.52 % Refutation found
% 0.17/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.52 fof(f1,conjecture,(
% 0.17/0.52 (! [A,B] :( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))=> ( k5_setfam_1(A,B) = k1_xboole_0<=> (! [C] :( r2_hidden(C,B)=> C = k1_xboole_0 ) )) ) )),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f2,negated_conjecture,(
% 0.17/0.52 ~((! [A,B] :( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))=> ( k5_setfam_1(A,B) = k1_xboole_0<=> (! [C] :( r2_hidden(C,B)=> C = k1_xboole_0 ) )) ) ))),
% 0.17/0.52 inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/0.52 fof(f5,axiom,(
% 0.17/0.52 (! [A] :( A = k1_xboole_0<=> (! [B] : ~ r2_hidden(B,A) )) )),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f6,axiom,(
% 0.17/0.52 (! [A,B] :( B = k3_tarski(A)<=> (! [C] :( r2_hidden(C,B)<=> (? [D] :( r2_hidden(C,D)& r2_hidden(D,A) ) )) )) )),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f21,axiom,(
% 0.17/0.52 (! [A,B] :( m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))=> k5_setfam_1(A,B) = k3_tarski(B) ) )),
% 0.17/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.52 fof(f31,plain,(
% 0.17/0.52 (?[A,B]: (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))&(k5_setfam_1(A,B)=k1_xboole_0<~>(![C]: (~r2_hidden(C,B)|C=k1_xboole_0)))))),
% 0.17/0.52 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.17/0.52 fof(f32,plain,(
% 0.17/0.52 ?[A,B]: (m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))&((k5_setfam_1(A,B)=k1_xboole_0|(![C]: (~r2_hidden(C,B)|C=k1_xboole_0)))&(~k5_setfam_1(A,B)=k1_xboole_0|(?[C]: (r2_hidden(C,B)&~C=k1_xboole_0)))))),
% 0.17/0.52 inference(NNF_transformation,[status(thm)],[f31])).
% 0.17/0.52 fof(f33,plain,(
% 0.17/0.52 (m1_subset_1(sK1_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl)))&((k5_setfam_1(sK0_skl,sK1_skl)=k1_xboole_0|(![C]: (~r2_hidden(C,sK1_skl)|C=k1_xboole_0)))&(~k5_setfam_1(sK0_skl,sK1_skl)=k1_xboole_0|(r2_hidden(sK2_skl,sK1_skl)&~sK2_skl=k1_xboole_0))))),
% 0.17/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f32])).
% 0.17/0.52 fof(f34,plain,(
% 0.17/0.52 m1_subset_1(sK1_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl)))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f33])).
% 0.17/0.52 fof(f35,plain,(
% 0.17/0.52 ![X0]: (k5_setfam_1(sK0_skl,sK1_skl)=k1_xboole_0|~r2_hidden(X0,sK1_skl)|X0=k1_xboole_0)),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f33])).
% 0.17/0.52 fof(f36,plain,(
% 0.17/0.52 ~k5_setfam_1(sK0_skl,sK1_skl)=k1_xboole_0|r2_hidden(sK2_skl,sK1_skl)),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f33])).
% 0.17/0.52 fof(f37,plain,(
% 0.17/0.52 ~k5_setfam_1(sK0_skl,sK1_skl)=k1_xboole_0|~sK2_skl=k1_xboole_0),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f33])).
% 0.17/0.52 fof(f42,plain,(
% 0.17/0.52 ![A]: ((~A=k1_xboole_0|(![B]: ~r2_hidden(B,A)))&(A=k1_xboole_0|(?[B]: r2_hidden(B,A))))),
% 0.17/0.52 inference(NNF_transformation,[status(thm)],[f5])).
% 0.17/0.52 fof(f43,plain,(
% 0.17/0.52 (![A]: (~A=k1_xboole_0|(![B]: ~r2_hidden(B,A))))&(![A]: (A=k1_xboole_0|(?[B]: r2_hidden(B,A))))),
% 0.17/0.52 inference(miniscoping,[status(thm)],[f42])).
% 0.17/0.52 fof(f44,plain,(
% 0.17/0.52 (![A]: (~A=k1_xboole_0|(![B]: ~r2_hidden(B,A))))&(![A]: (A=k1_xboole_0|r2_hidden(sK3_skl(A),A)))),
% 0.17/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(B,sK3_skl(A))],[f43])).
% 0.17/0.52 fof(f45,plain,(
% 0.17/0.52 ![X0,X1]: (~X0=k1_xboole_0|~r2_hidden(X1,X0))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f44])).
% 0.17/0.52 fof(f47,plain,(
% 0.17/0.52 ![A,B]: ((~B=k3_tarski(A)|(![C]: ((~r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A))))&(r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A)))))))&(B=k3_tarski(A)|(?[C]: ((~r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))&(r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A))))))))),
% 0.17/0.52 inference(NNF_transformation,[status(thm)],[f6])).
% 0.17/0.52 fof(f48,plain,(
% 0.17/0.52 (![A,B]: (~B=k3_tarski(A)|((![C]: (~r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A)))))&(![C]: (r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))))))&(![A,B]: (B=k3_tarski(A)|(?[C]: ((~r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))&(r2_hidden(C,B)|(?[D]: (r2_hidden(C,D)&r2_hidden(D,A))))))))),
% 0.17/0.52 inference(miniscoping,[status(thm)],[f47])).
% 0.17/0.52 fof(f49,plain,(
% 0.17/0.52 (![A,B]: (~B=k3_tarski(A)|((![C]: (~r2_hidden(C,B)|(r2_hidden(C,sK4_skl(C,B,A))&r2_hidden(sK4_skl(C,B,A),A))))&(![C]: (r2_hidden(C,B)|(![D]: (~r2_hidden(C,D)|~r2_hidden(D,A))))))))&(![A,B]: (B=k3_tarski(A)|((~r2_hidden(sK5_skl(B,A),B)|(![D]: (~r2_hidden(sK5_skl(B,A),D)|~r2_hidden(D,A))))&(r2_hidden(sK5_skl(B,A),B)|(r2_hidden(sK5_skl(B,A),sK6_skl(B,A))&r2_hidden(sK6_skl(B,A),A))))))),
% 0.17/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl]),skolemize(D,sK4_skl(C,B,A)),skolemize(C,sK5_skl(B,A)),skolemize(D,sK6_skl(B,A))],[f48])).
% 0.17/0.52 fof(f52,plain,(
% 0.17/0.52 ![X0,X1,X2,X3]: (~X0=k3_tarski(X1)|r2_hidden(X2,X0)|~r2_hidden(X2,X3)|~r2_hidden(X3,X1))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f49])).
% 0.17/0.52 fof(f54,plain,(
% 0.17/0.52 ![X0,X1]: (X0=k3_tarski(X1)|r2_hidden(sK5_skl(X0,X1),X0)|r2_hidden(sK5_skl(X0,X1),sK6_skl(X0,X1)))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f49])).
% 0.17/0.52 fof(f55,plain,(
% 0.17/0.52 ![X0,X1]: (X0=k3_tarski(X1)|r2_hidden(sK5_skl(X0,X1),X0)|r2_hidden(sK6_skl(X0,X1),X1))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f49])).
% 0.17/0.52 fof(f82,plain,(
% 0.17/0.52 ![A,B]: (~m1_subset_1(B,k1_zfmisc_1(k1_zfmisc_1(A)))|k5_setfam_1(A,B)=k3_tarski(B))),
% 0.17/0.52 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.17/0.52 fof(f83,plain,(
% 0.17/0.52 ![X0,X1]: (~m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))|k5_setfam_1(X1,X0)=k3_tarski(X0))),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f82])).
% 0.17/0.52 fof(f108,plain,(
% 0.17/0.52 ![X0]: (~r2_hidden(X0,k1_xboole_0))),
% 0.17/0.52 inference(destructive_equality_resolution,[status(thm)],[f45])).
% 0.17/0.52 fof(f111,plain,(
% 0.17/0.52 ![X0,X1,X2]: (r2_hidden(X0,k3_tarski(X1))|~r2_hidden(X0,X2)|~r2_hidden(X2,X1))),
% 0.17/0.52 inference(destructive_equality_resolution,[status(thm)],[f52])).
% 0.17/0.52 fof(f112,plain,(
% 0.17/0.52 k5_setfam_1(sK0_skl,sK1_skl)=k3_tarski(sK1_skl)),
% 0.17/0.52 inference(resolution,[status(thm)],[f83,f34])).
% 0.17/0.52 fof(f113,plain,(
% 0.17/0.52 ~k3_tarski(sK1_skl)=k1_xboole_0|~sK2_skl=k1_xboole_0),
% 0.17/0.52 inference(backward_demodulation,[status(thm)],[f112,f37])).
% 0.17/0.52 fof(f114,plain,(
% 0.17/0.52 ~k3_tarski(sK1_skl)=k1_xboole_0|r2_hidden(sK2_skl,sK1_skl)),
% 0.17/0.52 inference(backward_demodulation,[status(thm)],[f112,f36])).
% 0.17/0.52 fof(f115,plain,(
% 0.17/0.52 ![X0]: (k3_tarski(sK1_skl)=k1_xboole_0|~r2_hidden(X0,sK1_skl)|X0=k1_xboole_0)),
% 0.17/0.52 inference(backward_demodulation,[status(thm)],[f112,f35])).
% 0.17/0.52 fof(f225,plain,(
% 0.17/0.52 ![X0]: (k1_xboole_0=k3_tarski(X0)|r2_hidden(sK6_skl(k1_xboole_0,X0),X0))),
% 0.17/0.52 inference(resolution,[status(thm)],[f55,f108])).
% 0.17/0.52 fof(f234,plain,(
% 0.17/0.52 ![X0]: (X0=k3_tarski(k1_xboole_0)|r2_hidden(sK5_skl(X0,k1_xboole_0),X0))),
% 0.17/0.52 inference(resolution,[status(thm)],[f55,f108])).
% 0.17/0.52 fof(f243,plain,(
% 0.17/0.52 k1_xboole_0=k3_tarski(sK1_skl)|k3_tarski(sK1_skl)=k1_xboole_0|sK6_skl(k1_xboole_0,sK1_skl)=k1_xboole_0),
% 0.17/0.52 inference(resolution,[status(thm)],[f225,f115])).
% 0.17/0.52 fof(f244,plain,(
% 0.17/0.52 k1_xboole_0=k3_tarski(k1_xboole_0)),
% 0.17/0.52 inference(resolution,[status(thm)],[f225,f108])).
% 0.17/0.52 fof(f250,plain,(
% 0.17/0.52 k1_xboole_0=k3_tarski(sK1_skl)|sK6_skl(k1_xboole_0,sK1_skl)=k1_xboole_0),
% 0.17/0.52 inference(duplicate_literals_removal,[status(thm)],[f243])).
% 0.17/0.52 fof(f251,plain,(
% 0.17/0.52 ![X0]: (X0=k1_xboole_0|r2_hidden(sK5_skl(X0,k1_xboole_0),X0))),
% 0.17/0.52 inference(backward_demodulation,[status(thm)],[f244,f234])).
% 0.17/0.52 fof(f265,plain,(
% 0.17/0.52 k1_xboole_0=k3_tarski(sK1_skl)|r2_hidden(sK5_skl(k1_xboole_0,sK1_skl),k1_xboole_0)|r2_hidden(sK5_skl(k1_xboole_0,sK1_skl),k1_xboole_0)|k1_xboole_0=k3_tarski(sK1_skl)),
% 0.17/0.52 inference(paramodulation,[status(thm)],[f250,f54])).
% 0.17/0.52 fof(f268,plain,(
% 0.17/0.52 k1_xboole_0=k3_tarski(sK1_skl)|r2_hidden(sK5_skl(k1_xboole_0,sK1_skl),k1_xboole_0)),
% 0.17/0.52 inference(duplicate_literals_removal,[status(thm)],[f265])).
% 0.17/0.52 fof(f271,plain,(
% 0.17/0.52 ~k1_xboole_0=k1_xboole_0|r2_hidden(sK2_skl,sK1_skl)),
% 0.17/0.52 inference(backward_demodulation,[status(thm)],[f284,f114])).
% 0.17/0.52 fof(f272,plain,(
% 0.17/0.52 ~k1_xboole_0=k1_xboole_0|~sK2_skl=k1_xboole_0),
% 0.17/0.52 inference(backward_demodulation,[status(thm)],[f284,f113])).
% 0.17/0.52 fof(f284,plain,(
% 0.17/0.52 k1_xboole_0=k3_tarski(sK1_skl)),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f268,f108])).
% 0.17/0.52 fof(f285,plain,(
% 0.17/0.52 r2_hidden(sK2_skl,sK1_skl)),
% 0.17/0.52 inference(trivial_equality_resolution,[status(thm)],[f271])).
% 0.17/0.52 fof(f286,plain,(
% 0.17/0.52 ~sK2_skl=k1_xboole_0),
% 0.17/0.52 inference(trivial_equality_resolution,[status(thm)],[f272])).
% 0.17/0.52 fof(f291,plain,(
% 0.17/0.52 ![X0]: (r2_hidden(X0,k3_tarski(sK1_skl))|~r2_hidden(X0,sK2_skl))),
% 0.17/0.52 inference(resolution,[status(thm)],[f285,f111])).
% 0.17/0.52 fof(f296,plain,(
% 0.17/0.52 ![X0]: (r2_hidden(X0,k1_xboole_0)|~r2_hidden(X0,sK2_skl))),
% 0.17/0.52 inference(forward_demodulation,[status(thm)],[f284,f291])).
% 0.17/0.52 fof(f297,plain,(
% 0.17/0.52 ![X0]: (~r2_hidden(X0,sK2_skl))),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f296,f108])).
% 0.17/0.52 fof(f342,plain,(
% 0.17/0.52 sK2_skl=k1_xboole_0),
% 0.17/0.52 inference(resolution,[status(thm)],[f297,f251])).
% 0.17/0.52 fof(f347,plain,(
% 0.17/0.52 $false),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f342,f286])).
% 0.17/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.34/0.56 % Elapsed time: 0.095213 seconds
% 0.34/0.56 % CPU time: 0.459499 seconds
% 0.34/0.56 % Total memory used: 79.301 MB
% 0.34/0.56 % Net memory used: 78.737 MB
%------------------------------------------------------------------------------