TSTP Solution File: SEU406+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU406+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:42:13 EDT 2024
% Result : Theorem 0.61s 0.96s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU406+2 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:15:29 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.46/0.70 % Drodi V3.6.0
% 0.61/0.96 % Refutation found
% 0.61/0.96 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.61/0.96 % SZS output start CNFRefutation for theBenchmark
% 0.61/0.96 fof(f27,axiom,(
% 0.61/0.96 (! [A,B] :( ~ v1_xboole_0(A)=> ~ v1_xboole_0(k2_xboole_0(A,B)) ) )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f30,axiom,(
% 0.61/0.96 (! [A,B,C] :( C = k2_xboole_0(A,B)<=> (! [D] :( r2_hidden(D,C)<=> ( r2_hidden(D,A)| r2_hidden(D,B) ) ) )) )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f32,axiom,(
% 0.61/0.96 (! [A,B,C] :( C = k4_xboole_0(A,B)<=> (! [D] :( r2_hidden(D,C)<=> ( r2_hidden(D,A)& ~ r2_hidden(D,B) ) ) )) )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f54,axiom,(
% 0.61/0.96 (! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f62,axiom,(
% 0.61/0.96 (! [A] : k2_xboole_0(A,k1_xboole_0) = A )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f84,axiom,(
% 0.61/0.96 (! [A,B] :( k2_xboole_0(A,B) = k1_xboole_0=> A = k1_xboole_0 ) )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f115,axiom,(
% 0.61/0.96 (! [A,B] : k4_xboole_0(A,k2_xboole_0(A,B)) = k1_xboole_0 )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f421,axiom,(
% 0.61/0.96 (! [A,B] :( ( ~ v1_xboole_0(A)& ~ v1_xboole_0(B) )=> ~ r1_subset_1(A,A) ) )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f424,axiom,(
% 0.61/0.96 (! [A,B] :( ( ~ v1_xboole_0(A)& ~ v1_xboole_0(B) )=> ~ r2_subset_1(A,A) ) )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f449,axiom,(
% 0.61/0.96 (? [A] :( v1_xboole_0(A)& v1_relat_1(A) ) )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f455,axiom,(
% 0.61/0.96 (? [A] :( ~ v1_xboole_0(A)& v1_relat_1(A) ) )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f478,axiom,(
% 0.61/0.96 (! [A,B] :( v1_relat_1(B)=> v1_relat_1(k4_xboole_0(B,A)) ) )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f4434,conjecture,(
% 0.61/0.96 (! [A,B,C,D] :~ ( r2_hidden(A,k2_xboole_0(C,D))& r2_hidden(B,k2_xboole_0(C,D))& ~ ( r2_hidden(A,k4_xboole_0(C,D))& r2_hidden(B,k4_xboole_0(C,D)) )& ~ ( r2_hidden(A,D)& r2_hidden(B,D) )& ~ ( r2_hidden(A,k4_xboole_0(C,D))& r2_hidden(B,D) )& ~ ( r2_hidden(A,D)& r2_hidden(B,k4_xboole_0(C,D)) ) ) )),
% 0.61/0.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.61/0.96 fof(f4435,negated_conjecture,(
% 0.61/0.96 ~((! [A,B,C,D] :~ ( r2_hidden(A,k2_xboole_0(C,D))& r2_hidden(B,k2_xboole_0(C,D))& ~ ( r2_hidden(A,k4_xboole_0(C,D))& r2_hidden(B,k4_xboole_0(C,D)) )& ~ ( r2_hidden(A,D)& r2_hidden(B,D) )& ~ ( r2_hidden(A,k4_xboole_0(C,D))& r2_hidden(B,D) )& ~ ( r2_hidden(A,D)& r2_hidden(B,k4_xboole_0(C,D)) ) ) ))),
% 0.61/0.96 inference(negated_conjecture,[status(cth)],[f4434])).
% 0.61/0.96 fof(f4519,plain,(
% 0.61/0.96 ![A,B]: (v1_xboole_0(A)|~v1_xboole_0(k2_xboole_0(A,B)))),
% 0.61/0.96 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.61/0.96 fof(f4520,plain,(
% 0.61/0.96 ![A]: (v1_xboole_0(A)|(![B]: ~v1_xboole_0(k2_xboole_0(A,B))))),
% 0.61/0.96 inference(miniscoping,[status(esa)],[f4519])).
% 0.61/0.96 fof(f4521,plain,(
% 0.61/0.96 ![X0,X1]: (v1_xboole_0(X0)|~v1_xboole_0(k2_xboole_0(X0,X1)))),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f4520])).
% 0.61/0.96 fof(f4530,plain,(
% 0.61/0.96 ![A,B,C]: ((~C=k2_xboole_0(A,B)|(![D]: ((~r2_hidden(D,C)|(r2_hidden(D,A)|r2_hidden(D,B)))&(r2_hidden(D,C)|(~r2_hidden(D,A)&~r2_hidden(D,B))))))&(C=k2_xboole_0(A,B)|(?[D]: ((~r2_hidden(D,C)|(~r2_hidden(D,A)&~r2_hidden(D,B)))&(r2_hidden(D,C)|(r2_hidden(D,A)|r2_hidden(D,B)))))))),
% 0.61/0.96 inference(NNF_transformation,[status(esa)],[f30])).
% 0.61/0.96 fof(f4531,plain,(
% 0.61/0.96 (![A,B,C]: (~C=k2_xboole_0(A,B)|((![D]: (~r2_hidden(D,C)|(r2_hidden(D,A)|r2_hidden(D,B))))&(![D]: (r2_hidden(D,C)|(~r2_hidden(D,A)&~r2_hidden(D,B)))))))&(![A,B,C]: (C=k2_xboole_0(A,B)|(?[D]: ((~r2_hidden(D,C)|(~r2_hidden(D,A)&~r2_hidden(D,B)))&(r2_hidden(D,C)|(r2_hidden(D,A)|r2_hidden(D,B)))))))),
% 0.61/0.96 inference(miniscoping,[status(esa)],[f4530])).
% 0.61/0.96 fof(f4532,plain,(
% 0.61/0.96 (![A,B,C]: (~C=k2_xboole_0(A,B)|((![D]: (~r2_hidden(D,C)|(r2_hidden(D,A)|r2_hidden(D,B))))&(![D]: (r2_hidden(D,C)|(~r2_hidden(D,A)&~r2_hidden(D,B)))))))&(![A,B,C]: (C=k2_xboole_0(A,B)|((~r2_hidden(sk0_23(C,B,A),C)|(~r2_hidden(sk0_23(C,B,A),A)&~r2_hidden(sk0_23(C,B,A),B)))&(r2_hidden(sk0_23(C,B,A),C)|(r2_hidden(sk0_23(C,B,A),A)|r2_hidden(sk0_23(C,B,A),B))))))),
% 0.61/0.96 inference(skolemization,[status(esa)],[f4531])).
% 0.61/0.96 fof(f4533,plain,(
% 0.61/0.96 ![X0,X1,X2,X3]: (~X0=k2_xboole_0(X1,X2)|~r2_hidden(X3,X0)|r2_hidden(X3,X1)|r2_hidden(X3,X2))),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f4532])).
% 0.61/0.96 fof(f4548,plain,(
% 0.61/0.96 ![A,B,C]: ((~C=k4_xboole_0(A,B)|(![D]: ((~r2_hidden(D,C)|(r2_hidden(D,A)&~r2_hidden(D,B)))&(r2_hidden(D,C)|(~r2_hidden(D,A)|r2_hidden(D,B))))))&(C=k4_xboole_0(A,B)|(?[D]: ((~r2_hidden(D,C)|(~r2_hidden(D,A)|r2_hidden(D,B)))&(r2_hidden(D,C)|(r2_hidden(D,A)&~r2_hidden(D,B)))))))),
% 0.61/0.96 inference(NNF_transformation,[status(esa)],[f32])).
% 0.61/0.96 fof(f4549,plain,(
% 0.61/0.96 (![A,B,C]: (~C=k4_xboole_0(A,B)|((![D]: (~r2_hidden(D,C)|(r2_hidden(D,A)&~r2_hidden(D,B))))&(![D]: (r2_hidden(D,C)|(~r2_hidden(D,A)|r2_hidden(D,B)))))))&(![A,B,C]: (C=k4_xboole_0(A,B)|(?[D]: ((~r2_hidden(D,C)|(~r2_hidden(D,A)|r2_hidden(D,B)))&(r2_hidden(D,C)|(r2_hidden(D,A)&~r2_hidden(D,B)))))))),
% 0.61/0.96 inference(miniscoping,[status(esa)],[f4548])).
% 0.61/0.96 fof(f4550,plain,(
% 0.61/0.96 (![A,B,C]: (~C=k4_xboole_0(A,B)|((![D]: (~r2_hidden(D,C)|(r2_hidden(D,A)&~r2_hidden(D,B))))&(![D]: (r2_hidden(D,C)|(~r2_hidden(D,A)|r2_hidden(D,B)))))))&(![A,B,C]: (C=k4_xboole_0(A,B)|((~r2_hidden(sk0_25(C,B,A),C)|(~r2_hidden(sk0_25(C,B,A),A)|r2_hidden(sk0_25(C,B,A),B)))&(r2_hidden(sk0_25(C,B,A),C)|(r2_hidden(sk0_25(C,B,A),A)&~r2_hidden(sk0_25(C,B,A),B))))))),
% 0.61/0.96 inference(skolemization,[status(esa)],[f4549])).
% 0.61/0.96 fof(f4553,plain,(
% 0.61/0.96 ![X0,X1,X2,X3]: (~X0=k4_xboole_0(X1,X2)|r2_hidden(X3,X0)|~r2_hidden(X3,X1)|r2_hidden(X3,X2))),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f4550])).
% 0.61/0.96 fof(f4641,plain,(
% 0.61/0.96 ![X0,X1]: (k2_xboole_0(X0,X1)=k2_xboole_0(X1,X0))),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f54])).
% 0.61/0.96 fof(f4648,plain,(
% 0.61/0.96 ![X0]: (k2_xboole_0(X0,k1_xboole_0)=X0)),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f62])).
% 0.61/0.96 fof(f4691,plain,(
% 0.61/0.96 ![A,B]: (~k2_xboole_0(A,B)=k1_xboole_0|A=k1_xboole_0)),
% 0.61/0.96 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 0.61/0.96 fof(f4692,plain,(
% 0.61/0.96 ![A]: ((![B]: ~k2_xboole_0(A,B)=k1_xboole_0)|A=k1_xboole_0)),
% 0.61/0.96 inference(miniscoping,[status(esa)],[f4691])).
% 0.61/0.96 fof(f4693,plain,(
% 0.61/0.96 ![X0,X1]: (~k2_xboole_0(X0,X1)=k1_xboole_0|X0=k1_xboole_0)),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f4692])).
% 0.61/0.96 fof(f4751,plain,(
% 0.61/0.96 ![X0,X1]: (k4_xboole_0(X0,k2_xboole_0(X0,X1))=k1_xboole_0)),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f115])).
% 0.61/0.96 fof(f5487,plain,(
% 0.61/0.96 ![A,B]: ((v1_xboole_0(A)|v1_xboole_0(B))|~r1_subset_1(A,A))),
% 0.61/0.96 inference(pre_NNF_transformation,[status(esa)],[f421])).
% 0.61/0.96 fof(f5488,plain,(
% 0.61/0.96 ![A]: ((v1_xboole_0(A)|(![B]: v1_xboole_0(B)))|~r1_subset_1(A,A))),
% 0.61/0.96 inference(miniscoping,[status(esa)],[f5487])).
% 0.61/0.96 fof(f5489,plain,(
% 0.61/0.96 ![X0,X1]: (v1_xboole_0(X0)|v1_xboole_0(X1)|~r1_subset_1(X0,X0))),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f5488])).
% 0.61/0.96 fof(f5496,plain,(
% 0.61/0.96 ![A,B]: ((v1_xboole_0(A)|v1_xboole_0(B))|~r2_subset_1(A,A))),
% 0.61/0.96 inference(pre_NNF_transformation,[status(esa)],[f424])).
% 0.61/0.96 fof(f5497,plain,(
% 0.61/0.96 ![A]: ((v1_xboole_0(A)|(![B]: v1_xboole_0(B)))|~r2_subset_1(A,A))),
% 0.61/0.96 inference(miniscoping,[status(esa)],[f5496])).
% 0.61/0.96 fof(f5498,plain,(
% 0.61/0.96 ![X0,X1]: (v1_xboole_0(X0)|v1_xboole_0(X1)|~r2_subset_1(X0,X0))),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f5497])).
% 0.61/0.96 fof(f5554,plain,(
% 0.61/0.96 (v1_xboole_0(sk0_87)&v1_relat_1(sk0_87))),
% 0.61/0.96 inference(skolemization,[status(esa)],[f449])).
% 0.61/0.96 fof(f5555,plain,(
% 0.61/0.96 v1_xboole_0(sk0_87)),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f5554])).
% 0.61/0.96 fof(f5567,plain,(
% 0.61/0.96 (~v1_xboole_0(sk0_88)&v1_relat_1(sk0_88))),
% 0.61/0.96 inference(skolemization,[status(esa)],[f455])).
% 0.61/0.96 fof(f5568,plain,(
% 0.61/0.96 ~v1_xboole_0(sk0_88)),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f5567])).
% 0.61/0.96 fof(f5629,plain,(
% 0.61/0.96 ![A,B]: (~v1_relat_1(B)|v1_relat_1(k4_xboole_0(B,A)))),
% 0.61/0.96 inference(pre_NNF_transformation,[status(esa)],[f478])).
% 0.61/0.96 fof(f5630,plain,(
% 0.61/0.96 ![B]: (~v1_relat_1(B)|(![A]: v1_relat_1(k4_xboole_0(B,A))))),
% 0.61/0.96 inference(miniscoping,[status(esa)],[f5629])).
% 0.61/0.96 fof(f5631,plain,(
% 0.61/0.96 ![X0,X1]: (~v1_relat_1(X0)|v1_relat_1(k4_xboole_0(X0,X1)))),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f5630])).
% 0.61/0.96 fof(f18494,plain,(
% 0.61/0.96 (?[A,B,C,D]: (((((r2_hidden(A,k2_xboole_0(C,D))&r2_hidden(B,k2_xboole_0(C,D)))&(~r2_hidden(A,k4_xboole_0(C,D))|~r2_hidden(B,k4_xboole_0(C,D))))&(~r2_hidden(A,D)|~r2_hidden(B,D)))&(~r2_hidden(A,k4_xboole_0(C,D))|~r2_hidden(B,D)))&(~r2_hidden(A,D)|~r2_hidden(B,k4_xboole_0(C,D)))))),
% 0.61/0.96 inference(pre_NNF_transformation,[status(esa)],[f4435])).
% 0.61/0.96 fof(f18495,plain,(
% 0.61/0.96 (((((r2_hidden(sk0_1189,k2_xboole_0(sk0_1191,sk0_1192))&r2_hidden(sk0_1190,k2_xboole_0(sk0_1191,sk0_1192)))&(~r2_hidden(sk0_1189,k4_xboole_0(sk0_1191,sk0_1192))|~r2_hidden(sk0_1190,k4_xboole_0(sk0_1191,sk0_1192))))&(~r2_hidden(sk0_1189,sk0_1192)|~r2_hidden(sk0_1190,sk0_1192)))&(~r2_hidden(sk0_1189,k4_xboole_0(sk0_1191,sk0_1192))|~r2_hidden(sk0_1190,sk0_1192)))&(~r2_hidden(sk0_1189,sk0_1192)|~r2_hidden(sk0_1190,k4_xboole_0(sk0_1191,sk0_1192))))),
% 0.61/0.96 inference(skolemization,[status(esa)],[f18494])).
% 0.61/0.96 fof(f18496,plain,(
% 0.61/0.96 r2_hidden(sk0_1189,k2_xboole_0(sk0_1191,sk0_1192))),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f18495])).
% 0.61/0.96 fof(f18497,plain,(
% 0.61/0.96 r2_hidden(sk0_1190,k2_xboole_0(sk0_1191,sk0_1192))),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f18495])).
% 0.61/0.96 fof(f18498,plain,(
% 0.61/0.96 ~r2_hidden(sk0_1189,k4_xboole_0(sk0_1191,sk0_1192))|~r2_hidden(sk0_1190,k4_xboole_0(sk0_1191,sk0_1192))),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f18495])).
% 0.61/0.96 fof(f18499,plain,(
% 0.61/0.96 ~r2_hidden(sk0_1189,sk0_1192)|~r2_hidden(sk0_1190,sk0_1192)),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f18495])).
% 0.61/0.96 fof(f18500,plain,(
% 0.61/0.96 ~r2_hidden(sk0_1189,k4_xboole_0(sk0_1191,sk0_1192))|~r2_hidden(sk0_1190,sk0_1192)),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f18495])).
% 0.61/0.96 fof(f18501,plain,(
% 0.61/0.96 ~r2_hidden(sk0_1189,sk0_1192)|~r2_hidden(sk0_1190,k4_xboole_0(sk0_1191,sk0_1192))),
% 0.61/0.96 inference(cnf_transformation,[status(esa)],[f18495])).
% 0.61/0.96 fof(f19489,plain,(
% 0.61/0.96 spl0_13 <=> v1_xboole_0(X0)|~r1_subset_1(X0,X0)),
% 0.61/0.96 introduced(split_symbol_definition)).
% 0.61/0.96 fof(f19492,plain,(
% 0.61/0.96 spl0_14 <=> v1_xboole_0(X1)),
% 0.61/0.96 introduced(split_symbol_definition)).
% 0.61/0.96 fof(f19493,plain,(
% 0.61/0.96 ![X0]: (v1_xboole_0(X0)|~spl0_14)),
% 0.61/0.96 inference(component_clause,[status(thm)],[f19492])).
% 0.61/0.96 fof(f19495,plain,(
% 0.61/0.96 spl0_13|spl0_14),
% 0.61/0.96 inference(split_clause,[status(thm)],[f5489,f19489,f19492])).
% 0.61/0.96 fof(f19496,plain,(
% 0.61/0.96 spl0_15 <=> v1_xboole_0(X0)|~r2_subset_1(X0,X0)),
% 0.61/0.96 introduced(split_symbol_definition)).
% 0.61/0.96 fof(f19499,plain,(
% 0.61/0.96 spl0_15|spl0_14),
% 0.61/0.96 inference(split_clause,[status(thm)],[f5498,f19496,f19492])).
% 0.61/0.96 fof(f21069,plain,(
% 0.61/0.96 spl0_431 <=> r2_hidden(sk0_1189,k4_xboole_0(sk0_1191,sk0_1192))),
% 0.61/0.96 introduced(split_symbol_definition)).
% 0.61/0.96 fof(f21071,plain,(
% 0.61/0.96 ~r2_hidden(sk0_1189,k4_xboole_0(sk0_1191,sk0_1192))|spl0_431),
% 0.61/0.96 inference(component_clause,[status(thm)],[f21069])).
% 0.61/0.96 fof(f21072,plain,(
% 0.61/0.96 spl0_432 <=> r2_hidden(sk0_1190,k4_xboole_0(sk0_1191,sk0_1192))),
% 0.61/0.96 introduced(split_symbol_definition)).
% 0.61/0.96 fof(f21074,plain,(
% 0.61/0.96 ~r2_hidden(sk0_1190,k4_xboole_0(sk0_1191,sk0_1192))|spl0_432),
% 0.61/0.96 inference(component_clause,[status(thm)],[f21072])).
% 0.61/0.96 fof(f21075,plain,(
% 0.61/0.96 ~spl0_431|~spl0_432),
% 0.61/0.96 inference(split_clause,[status(thm)],[f18498,f21069,f21072])).
% 0.61/0.96 fof(f21076,plain,(
% 0.61/0.96 spl0_433 <=> r2_hidden(sk0_1189,sk0_1192)),
% 0.61/0.96 introduced(split_symbol_definition)).
% 0.61/0.96 fof(f21079,plain,(
% 0.61/0.96 spl0_434 <=> r2_hidden(sk0_1190,sk0_1192)),
% 0.61/0.96 introduced(split_symbol_definition)).
% 0.61/0.96 fof(f21082,plain,(
% 0.61/0.96 ~spl0_433|~spl0_434),
% 0.61/0.96 inference(split_clause,[status(thm)],[f18499,f21076,f21079])).
% 0.61/0.96 fof(f21083,plain,(
% 0.61/0.96 ~spl0_431|~spl0_434),
% 0.61/0.96 inference(split_clause,[status(thm)],[f18500,f21069,f21079])).
% 0.61/0.96 fof(f21084,plain,(
% 0.61/0.96 ~spl0_433|~spl0_432),
% 0.61/0.96 inference(split_clause,[status(thm)],[f18501,f21076,f21072])).
% 0.61/0.96 fof(f21837,plain,(
% 0.61/0.96 ![X0,X1,X2]: (~r2_hidden(X0,k2_xboole_0(X1,X2))|r2_hidden(X0,X1)|r2_hidden(X0,X2))),
% 0.61/0.96 inference(destructive_equality_resolution,[status(esa)],[f4533])).
% 0.61/0.96 fof(f21845,plain,(
% 0.61/0.96 ![X0,X1,X2]: (r2_hidden(X0,k4_xboole_0(X1,X2))|~r2_hidden(X0,X1)|r2_hidden(X0,X2))),
% 0.61/0.96 inference(destructive_equality_resolution,[status(esa)],[f4553])).
% 0.61/0.96 fof(f22759,plain,(
% 0.61/0.96 ![X0]: (X0=k2_xboole_0(k1_xboole_0,X0))),
% 0.61/0.96 inference(paramodulation,[status(thm)],[f4648,f4641])).
% 0.61/0.96 fof(f22770,plain,(
% 0.61/1.02 spl0_627 <=> v1_xboole_0(k1_xboole_0)),
% 0.61/1.02 introduced(split_symbol_definition)).
% 0.61/1.02 fof(f22773,plain,(
% 0.61/1.02 spl0_628 <=> ~v1_xboole_0(X0)),
% 0.61/1.02 introduced(split_symbol_definition)).
% 0.61/1.02 fof(f22774,plain,(
% 0.61/1.02 ![X0]: (~v1_xboole_0(X0)|~spl0_628)),
% 0.61/1.02 inference(component_clause,[status(thm)],[f22773])).
% 0.61/1.02 fof(f22776,plain,(
% 0.61/1.02 ![X0]: (v1_xboole_0(k1_xboole_0)|~v1_xboole_0(X0))),
% 0.61/1.02 inference(paramodulation,[status(thm)],[f22759,f4521])).
% 0.61/1.02 fof(f22777,plain,(
% 0.61/1.02 spl0_627|spl0_628),
% 0.61/1.02 inference(split_clause,[status(thm)],[f22776,f22770,f22773])).
% 0.61/1.02 fof(f22786,plain,(
% 0.61/1.02 $false|~spl0_628),
% 0.61/1.02 inference(backward_subsumption_resolution,[status(thm)],[f5555,f22774])).
% 0.61/1.02 fof(f22787,plain,(
% 0.61/1.02 ~spl0_628),
% 0.61/1.02 inference(contradiction_clause,[status(thm)],[f22786])).
% 0.61/1.02 fof(f22794,plain,(
% 0.61/1.02 spl0_629 <=> r2_hidden(sk0_1190,sk0_1191)),
% 0.61/1.02 introduced(split_symbol_definition)).
% 0.61/1.02 fof(f22797,plain,(
% 0.61/1.02 r2_hidden(sk0_1190,sk0_1191)|r2_hidden(sk0_1190,sk0_1192)),
% 0.61/1.02 inference(resolution,[status(thm)],[f21837,f18497])).
% 0.61/1.02 fof(f22798,plain,(
% 0.61/1.02 spl0_629|spl0_434),
% 0.61/1.02 inference(split_clause,[status(thm)],[f22797,f22794,f21079])).
% 0.61/1.02 fof(f22799,plain,(
% 0.61/1.02 spl0_630 <=> r2_hidden(sk0_1189,sk0_1191)),
% 0.61/1.02 introduced(split_symbol_definition)).
% 0.61/1.02 fof(f22802,plain,(
% 0.61/1.02 r2_hidden(sk0_1189,sk0_1191)|r2_hidden(sk0_1189,sk0_1192)),
% 0.61/1.02 inference(resolution,[status(thm)],[f21837,f18496])).
% 0.61/1.02 fof(f22803,plain,(
% 0.61/1.02 spl0_630|spl0_433),
% 0.61/1.02 inference(split_clause,[status(thm)],[f22802,f22799,f21076])).
% 0.61/1.02 fof(f22823,plain,(
% 0.61/1.02 spl0_631 <=> ~X0=k1_xboole_0),
% 0.61/1.02 introduced(split_symbol_definition)).
% 0.61/1.02 fof(f22824,plain,(
% 0.61/1.02 ![X0]: (~X0=k1_xboole_0|~spl0_631)),
% 0.61/1.02 inference(component_clause,[status(thm)],[f22823])).
% 0.61/1.02 fof(f22826,plain,(
% 0.61/1.02 spl0_632 <=> k1_xboole_0=k1_xboole_0),
% 0.61/1.02 introduced(split_symbol_definition)).
% 0.61/1.02 fof(f22829,plain,(
% 0.61/1.02 ![X0]: (~X0=k1_xboole_0|k1_xboole_0=k1_xboole_0)),
% 0.61/1.02 inference(paramodulation,[status(thm)],[f22759,f4693])).
% 0.61/1.02 fof(f22830,plain,(
% 0.61/1.02 spl0_631|spl0_632),
% 0.61/1.02 inference(split_clause,[status(thm)],[f22829,f22823,f22826])).
% 0.61/1.02 fof(f22833,plain,(
% 0.61/1.02 $false|~spl0_631),
% 0.61/1.02 inference(destructive_equality_resolution,[status(esa)],[f22824])).
% 0.61/1.02 fof(f22834,plain,(
% 0.61/1.02 ~spl0_631),
% 0.61/1.02 inference(contradiction_clause,[status(thm)],[f22833])).
% 0.61/1.02 fof(f22847,plain,(
% 0.61/1.02 $false|~spl0_14),
% 0.61/1.02 inference(forward_subsumption_resolution,[status(thm)],[f5568,f19493])).
% 0.61/1.02 fof(f22848,plain,(
% 0.61/1.02 ~spl0_14),
% 0.61/1.02 inference(contradiction_clause,[status(thm)],[f22847])).
% 0.61/1.02 fof(f22885,plain,(
% 0.61/1.02 spl0_633 <=> v1_relat_1(k1_xboole_0)),
% 0.61/1.02 introduced(split_symbol_definition)).
% 0.61/1.02 fof(f22890,plain,(
% 0.61/1.02 spl0_634 <=> ~v1_relat_1(X0)),
% 0.61/1.02 introduced(split_symbol_definition)).
% 0.61/1.02 fof(f22893,plain,(
% 0.61/1.02 ![X0]: (~v1_relat_1(X0)|v1_relat_1(k1_xboole_0))),
% 0.61/1.02 inference(paramodulation,[status(thm)],[f4751,f5631])).
% 0.61/1.02 fof(f22894,plain,(
% 0.61/1.02 spl0_634|spl0_633),
% 0.61/1.02 inference(split_clause,[status(thm)],[f22893,f22890,f22885])).
% 0.61/1.02 fof(f22916,plain,(
% 0.61/1.02 ~r2_hidden(sk0_1190,sk0_1191)|r2_hidden(sk0_1190,sk0_1192)|spl0_432),
% 0.61/1.02 inference(resolution,[status(thm)],[f21845,f21074])).
% 0.61/1.02 fof(f22917,plain,(
% 0.61/1.02 ~spl0_629|spl0_434|spl0_432),
% 0.61/1.02 inference(split_clause,[status(thm)],[f22916,f22794,f21079,f21072])).
% 0.61/1.02 fof(f22918,plain,(
% 0.61/1.02 ~r2_hidden(sk0_1189,sk0_1191)|r2_hidden(sk0_1189,sk0_1192)|spl0_431),
% 0.61/1.02 inference(resolution,[status(thm)],[f21845,f21071])).
% 0.61/1.02 fof(f22919,plain,(
% 0.61/1.02 ~spl0_630|spl0_433|spl0_431),
% 0.61/1.02 inference(split_clause,[status(thm)],[f22918,f22799,f21076,f21069])).
% 0.61/1.02 fof(f22925,plain,(
% 0.61/1.02 $false),
% 0.61/1.02 inference(sat_refutation,[status(thm)],[f19495,f19499,f21075,f21082,f21083,f21084,f22777,f22787,f22798,f22803,f22830,f22834,f22848,f22894,f22917,f22919])).
% 0.61/1.02 % SZS output end CNFRefutation for theBenchmark.p
% 0.61/1.04 % Elapsed time: 0.688774 seconds
% 0.61/1.04 % CPU time: 2.589538 seconds
% 0.61/1.04 % Total memory used: 716.630 MB
% 0.61/1.04 % Net memory used: 711.650 MB
%------------------------------------------------------------------------------