TSTP Solution File: SEU406+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU406+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12.77s 3.17s
% Output : CNFRefutation 15.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU406+3 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.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 20:10:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.53/1.69 % Drodi V3.6.0
% 12.77/3.17 % Refutation found
% 12.77/3.17 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.77/3.17 % SZS output start CNFRefutation for theBenchmark
% 12.77/3.17 fof(f25,axiom,(
% 12.77/3.17 (? [A] : v1_xboole_0(A) )),
% 12.77/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.77/3.17 fof(f27,axiom,(
% 12.77/3.17 (! [A,B] :( ~ v1_xboole_0(A)=> ~ v1_xboole_0(k2_xboole_0(A,B)) ) )),
% 12.77/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.77/3.17 fof(f30,axiom,(
% 12.77/3.17 (! [A,B,C] :( C = k2_xboole_0(A,B)<=> (! [D] :( r2_hidden(D,C)<=> ( r2_hidden(D,A)| r2_hidden(D,B) ) ) )) )),
% 12.77/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.77/3.17 fof(f32,axiom,(
% 12.77/3.17 (! [A,B,C] :( C = k4_xboole_0(A,B)<=> (! [D] :( r2_hidden(D,C)<=> ( r2_hidden(D,A)& ~ r2_hidden(D,B) ) ) )) )),
% 12.77/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.77/3.17 fof(f54,axiom,(
% 12.77/3.17 (! [A,B] : k2_xboole_0(A,B) = k2_xboole_0(B,A) )),
% 12.77/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.77/3.17 fof(f62,axiom,(
% 12.77/3.17 (! [A] : k2_xboole_0(A,k1_xboole_0) = A )),
% 12.77/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.77/3.17 fof(f84,axiom,(
% 12.77/3.17 (! [A,B] :( k2_xboole_0(A,B) = k1_xboole_0=> A = k1_xboole_0 ) )),
% 12.77/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.77/3.17 fof(f115,axiom,(
% 12.77/3.17 (! [A,B] : k4_xboole_0(A,k2_xboole_0(A,B)) = k1_xboole_0 )),
% 12.77/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.77/3.17 fof(f709,axiom,(
% 12.77/3.17 (! [A,B] :( v1_relat_1(B)=> v1_relat_1(k4_xboole_0(B,A)) ) )),
% 12.77/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.77/3.17 fof(f5990,axiom,(
% 12.77/3.17 (! [A,B] :( ( v1_relat_1(A)& v1_relat_1(B) )=> r1_rfinseq(A,A) ) )),
% 12.77/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.77/3.17 fof(f19023,conjecture,(
% 12.77/3.17 (! [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)) ) ) )),
% 12.77/3.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 12.77/3.17 fof(f19024,negated_conjecture,(
% 12.77/3.17 ~((! [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)) ) ) ))),
% 12.77/3.17 inference(negated_conjecture,[status(cth)],[f19023])).
% 12.77/3.17 fof(f19104,plain,(
% 12.77/3.17 v1_xboole_0(sk0_20)),
% 12.77/3.17 inference(skolemization,[status(esa)],[f25])).
% 12.77/3.17 fof(f19105,plain,(
% 12.77/3.17 v1_xboole_0(sk0_20)),
% 12.77/3.17 inference(cnf_transformation,[status(esa)],[f19104])).
% 12.77/3.17 fof(f19108,plain,(
% 12.77/3.17 ![A,B]: (v1_xboole_0(A)|~v1_xboole_0(k2_xboole_0(A,B)))),
% 12.77/3.17 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 12.77/3.17 fof(f19109,plain,(
% 12.77/3.17 ![A]: (v1_xboole_0(A)|(![B]: ~v1_xboole_0(k2_xboole_0(A,B))))),
% 12.77/3.17 inference(miniscoping,[status(esa)],[f19108])).
% 12.77/3.17 fof(f19110,plain,(
% 12.77/3.17 ![X0,X1]: (v1_xboole_0(X0)|~v1_xboole_0(k2_xboole_0(X0,X1)))),
% 12.77/3.17 inference(cnf_transformation,[status(esa)],[f19109])).
% 12.77/3.17 fof(f19119,plain,(
% 12.77/3.17 ![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)))))))),
% 12.77/3.17 inference(NNF_transformation,[status(esa)],[f30])).
% 12.77/3.17 fof(f19120,plain,(
% 12.77/3.17 (![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)))))))),
% 12.77/3.17 inference(miniscoping,[status(esa)],[f19119])).
% 12.77/3.17 fof(f19121,plain,(
% 12.77/3.17 (![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))))))),
% 12.77/3.18 inference(skolemization,[status(esa)],[f19120])).
% 12.77/3.18 fof(f19122,plain,(
% 12.77/3.18 ![X0,X1,X2,X3]: (~X0=k2_xboole_0(X1,X2)|~r2_hidden(X3,X0)|r2_hidden(X3,X1)|r2_hidden(X3,X2))),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f19121])).
% 12.77/3.18 fof(f19137,plain,(
% 12.77/3.18 ![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)))))))),
% 12.77/3.18 inference(NNF_transformation,[status(esa)],[f32])).
% 12.77/3.18 fof(f19138,plain,(
% 12.77/3.18 (![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)))))))),
% 12.77/3.18 inference(miniscoping,[status(esa)],[f19137])).
% 12.77/3.18 fof(f19139,plain,(
% 12.77/3.18 (![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))))))),
% 12.77/3.18 inference(skolemization,[status(esa)],[f19138])).
% 12.77/3.18 fof(f19142,plain,(
% 12.77/3.18 ![X0,X1,X2,X3]: (~X0=k4_xboole_0(X1,X2)|r2_hidden(X3,X0)|~r2_hidden(X3,X1)|r2_hidden(X3,X2))),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f19139])).
% 12.77/3.18 fof(f19230,plain,(
% 12.77/3.18 ![X0,X1]: (k2_xboole_0(X0,X1)=k2_xboole_0(X1,X0))),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f54])).
% 12.77/3.18 fof(f19237,plain,(
% 12.77/3.18 ![X0]: (k2_xboole_0(X0,k1_xboole_0)=X0)),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f62])).
% 12.77/3.18 fof(f19280,plain,(
% 12.77/3.18 ![A,B]: (~k2_xboole_0(A,B)=k1_xboole_0|A=k1_xboole_0)),
% 12.77/3.18 inference(pre_NNF_transformation,[status(esa)],[f84])).
% 12.77/3.18 fof(f19281,plain,(
% 12.77/3.18 ![A]: ((![B]: ~k2_xboole_0(A,B)=k1_xboole_0)|A=k1_xboole_0)),
% 12.77/3.18 inference(miniscoping,[status(esa)],[f19280])).
% 12.77/3.18 fof(f19282,plain,(
% 12.77/3.18 ![X0,X1]: (~k2_xboole_0(X0,X1)=k1_xboole_0|X0=k1_xboole_0)),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f19281])).
% 12.77/3.18 fof(f19340,plain,(
% 12.77/3.18 ![X0,X1]: (k4_xboole_0(X0,k2_xboole_0(X0,X1))=k1_xboole_0)),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f115])).
% 12.77/3.18 fof(f20576,plain,(
% 12.77/3.18 ![A,B]: (~v1_relat_1(B)|v1_relat_1(k4_xboole_0(B,A)))),
% 12.77/3.18 inference(pre_NNF_transformation,[status(esa)],[f709])).
% 12.77/3.18 fof(f20577,plain,(
% 12.77/3.18 ![B]: (~v1_relat_1(B)|(![A]: v1_relat_1(k4_xboole_0(B,A))))),
% 12.77/3.18 inference(miniscoping,[status(esa)],[f20576])).
% 12.77/3.18 fof(f20578,plain,(
% 12.77/3.18 ![X0,X1]: (~v1_relat_1(X0)|v1_relat_1(k4_xboole_0(X0,X1)))),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f20577])).
% 12.77/3.18 fof(f37085,plain,(
% 12.77/3.18 ![A,B]: ((~v1_relat_1(A)|~v1_relat_1(B))|r1_rfinseq(A,A))),
% 12.77/3.18 inference(pre_NNF_transformation,[status(esa)],[f5990])).
% 12.77/3.18 fof(f37086,plain,(
% 12.77/3.18 ![A]: ((~v1_relat_1(A)|(![B]: ~v1_relat_1(B)))|r1_rfinseq(A,A))),
% 12.77/3.18 inference(miniscoping,[status(esa)],[f37085])).
% 12.77/3.18 fof(f37087,plain,(
% 12.77/3.18 ![X0,X1]: (~v1_relat_1(X0)|~v1_relat_1(X1)|r1_rfinseq(X0,X0))),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f37086])).
% 12.77/3.18 fof(f89010,plain,(
% 12.77/3.18 (?[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)))))),
% 12.77/3.18 inference(pre_NNF_transformation,[status(esa)],[f19024])).
% 12.77/3.18 fof(f89011,plain,(
% 12.77/3.18 (((((r2_hidden(sk0_6517,k2_xboole_0(sk0_6519,sk0_6520))&r2_hidden(sk0_6518,k2_xboole_0(sk0_6519,sk0_6520)))&(~r2_hidden(sk0_6517,k4_xboole_0(sk0_6519,sk0_6520))|~r2_hidden(sk0_6518,k4_xboole_0(sk0_6519,sk0_6520))))&(~r2_hidden(sk0_6517,sk0_6520)|~r2_hidden(sk0_6518,sk0_6520)))&(~r2_hidden(sk0_6517,k4_xboole_0(sk0_6519,sk0_6520))|~r2_hidden(sk0_6518,sk0_6520)))&(~r2_hidden(sk0_6517,sk0_6520)|~r2_hidden(sk0_6518,k4_xboole_0(sk0_6519,sk0_6520))))),
% 12.77/3.18 inference(skolemization,[status(esa)],[f89010])).
% 12.77/3.18 fof(f89012,plain,(
% 12.77/3.18 r2_hidden(sk0_6517,k2_xboole_0(sk0_6519,sk0_6520))),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f89011])).
% 12.77/3.18 fof(f89013,plain,(
% 12.77/3.18 r2_hidden(sk0_6518,k2_xboole_0(sk0_6519,sk0_6520))),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f89011])).
% 12.77/3.18 fof(f89014,plain,(
% 12.77/3.18 ~r2_hidden(sk0_6517,k4_xboole_0(sk0_6519,sk0_6520))|~r2_hidden(sk0_6518,k4_xboole_0(sk0_6519,sk0_6520))),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f89011])).
% 12.77/3.18 fof(f89015,plain,(
% 12.77/3.18 ~r2_hidden(sk0_6517,sk0_6520)|~r2_hidden(sk0_6518,sk0_6520)),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f89011])).
% 12.77/3.18 fof(f89016,plain,(
% 12.77/3.18 ~r2_hidden(sk0_6517,k4_xboole_0(sk0_6519,sk0_6520))|~r2_hidden(sk0_6518,sk0_6520)),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f89011])).
% 12.77/3.18 fof(f89017,plain,(
% 12.77/3.18 ~r2_hidden(sk0_6517,sk0_6520)|~r2_hidden(sk0_6518,k4_xboole_0(sk0_6519,sk0_6520))),
% 12.77/3.18 inference(cnf_transformation,[status(esa)],[f89011])).
% 12.77/3.18 fof(f96912,plain,(
% 12.77/3.18 spl0_748 <=> ~v1_relat_1(X0)|r1_rfinseq(X0,X0)),
% 12.77/3.18 introduced(split_symbol_definition)).
% 12.77/3.18 fof(f96915,plain,(
% 12.77/3.18 spl0_749 <=> ~v1_relat_1(X1)),
% 12.77/3.18 introduced(split_symbol_definition)).
% 12.77/3.18 fof(f96918,plain,(
% 12.77/3.18 spl0_748|spl0_749),
% 12.77/3.18 inference(split_clause,[status(thm)],[f37087,f96912,f96915])).
% 12.77/3.18 fof(f99527,plain,(
% 12.77/3.18 spl0_1443 <=> r2_hidden(sk0_6517,k4_xboole_0(sk0_6519,sk0_6520))),
% 12.77/3.18 introduced(split_symbol_definition)).
% 12.77/3.18 fof(f99529,plain,(
% 12.77/3.18 ~r2_hidden(sk0_6517,k4_xboole_0(sk0_6519,sk0_6520))|spl0_1443),
% 12.77/3.18 inference(component_clause,[status(thm)],[f99527])).
% 12.77/3.18 fof(f99530,plain,(
% 12.77/3.18 spl0_1444 <=> r2_hidden(sk0_6518,k4_xboole_0(sk0_6519,sk0_6520))),
% 12.77/3.18 introduced(split_symbol_definition)).
% 12.77/3.18 fof(f99532,plain,(
% 12.77/3.18 ~r2_hidden(sk0_6518,k4_xboole_0(sk0_6519,sk0_6520))|spl0_1444),
% 12.77/3.18 inference(component_clause,[status(thm)],[f99530])).
% 12.77/3.18 fof(f99533,plain,(
% 12.77/3.18 ~spl0_1443|~spl0_1444),
% 12.77/3.18 inference(split_clause,[status(thm)],[f89014,f99527,f99530])).
% 12.77/3.18 fof(f99534,plain,(
% 12.77/3.18 spl0_1445 <=> r2_hidden(sk0_6517,sk0_6520)),
% 12.77/3.18 introduced(split_symbol_definition)).
% 12.77/3.18 fof(f99537,plain,(
% 12.77/3.18 spl0_1446 <=> r2_hidden(sk0_6518,sk0_6520)),
% 12.77/3.18 introduced(split_symbol_definition)).
% 12.77/3.18 fof(f99540,plain,(
% 12.77/3.18 ~spl0_1445|~spl0_1446),
% 12.77/3.18 inference(split_clause,[status(thm)],[f89015,f99534,f99537])).
% 12.77/3.18 fof(f99541,plain,(
% 12.77/3.18 ~spl0_1443|~spl0_1446),
% 12.77/3.18 inference(split_clause,[status(thm)],[f89016,f99527,f99537])).
% 12.77/3.18 fof(f99542,plain,(
% 12.77/3.18 ~spl0_1445|~spl0_1444),
% 12.77/3.18 inference(split_clause,[status(thm)],[f89017,f99534,f99530])).
% 12.77/3.18 fof(f103389,plain,(
% 12.77/3.18 ![X0,X1,X2]: (~r2_hidden(X0,k2_xboole_0(X1,X2))|r2_hidden(X0,X1)|r2_hidden(X0,X2))),
% 12.77/3.18 inference(destructive_equality_resolution,[status(esa)],[f19122])).
% 12.77/3.18 fof(f103397,plain,(
% 12.77/3.18 ![X0,X1,X2]: (r2_hidden(X0,k4_xboole_0(X1,X2))|~r2_hidden(X0,X1)|r2_hidden(X0,X2))),
% 12.77/3.18 inference(destructive_equality_resolution,[status(esa)],[f19142])).
% 12.77/3.18 fof(f108103,plain,(
% 12.77/3.18 ![X0]: (X0=k2_xboole_0(k1_xboole_0,X0))),
% 12.77/3.18 inference(paramodulation,[status(thm)],[f19237,f19230])).
% 12.77/3.18 fof(f108114,plain,(
% 12.77/3.18 spl0_2350 <=> v1_xboole_0(k1_xboole_0)),
% 12.77/3.18 introduced(split_symbol_definition)).
% 12.77/3.18 fof(f108117,plain,(
% 12.77/3.18 spl0_2351 <=> ~v1_xboole_0(X0)),
% 12.77/3.18 introduced(split_symbol_definition)).
% 12.77/3.18 fof(f108118,plain,(
% 12.77/3.18 ![X0]: (~v1_xboole_0(X0)|~spl0_2351)),
% 12.77/3.18 inference(component_clause,[status(thm)],[f108117])).
% 12.77/3.18 fof(f108120,plain,(
% 12.77/3.18 ![X0]: (v1_xboole_0(k1_xboole_0)|~v1_xboole_0(X0))),
% 12.77/3.18 inference(paramodulation,[status(thm)],[f108103,f19110])).
% 12.77/3.18 fof(f108121,plain,(
% 12.77/3.18 spl0_2350|spl0_2351),
% 12.77/3.18 inference(split_clause,[status(thm)],[f108120,f108114,f108117])).
% 12.77/3.18 fof(f108130,plain,(
% 12.77/3.18 $false|~spl0_2351),
% 12.77/3.18 inference(backward_subsumption_resolution,[status(thm)],[f19105,f108118])).
% 12.77/3.18 fof(f108131,plain,(
% 12.77/3.18 ~spl0_2351),
% 12.77/3.18 inference(contradiction_clause,[status(thm)],[f108130])).
% 12.77/3.18 fof(f108138,plain,(
% 12.77/3.18 spl0_2352 <=> r2_hidden(sk0_6518,sk0_6519)),
% 12.77/3.18 introduced(split_symbol_definition)).
% 12.77/3.18 fof(f108141,plain,(
% 12.77/3.18 r2_hidden(sk0_6518,sk0_6519)|r2_hidden(sk0_6518,sk0_6520)),
% 12.77/3.18 inference(resolution,[status(thm)],[f103389,f89013])).
% 12.77/3.18 fof(f108142,plain,(
% 12.77/3.18 spl0_2352|spl0_1446),
% 12.77/3.18 inference(split_clause,[status(thm)],[f108141,f108138,f99537])).
% 12.77/3.18 fof(f108143,plain,(
% 12.77/3.18 spl0_2353 <=> r2_hidden(sk0_6517,sk0_6519)),
% 12.77/3.18 introduced(split_symbol_definition)).
% 15.16/3.47 fof(f108146,plain,(
% 15.16/3.47 r2_hidden(sk0_6517,sk0_6519)|r2_hidden(sk0_6517,sk0_6520)),
% 15.16/3.47 inference(resolution,[status(thm)],[f103389,f89012])).
% 15.16/3.47 fof(f108147,plain,(
% 15.16/3.47 spl0_2353|spl0_1445),
% 15.16/3.47 inference(split_clause,[status(thm)],[f108146,f108143,f99534])).
% 15.16/3.47 fof(f108164,plain,(
% 15.16/3.47 spl0_2354 <=> ~X0=k1_xboole_0),
% 15.16/3.47 introduced(split_symbol_definition)).
% 15.16/3.47 fof(f108165,plain,(
% 15.16/3.47 ![X0]: (~X0=k1_xboole_0|~spl0_2354)),
% 15.16/3.47 inference(component_clause,[status(thm)],[f108164])).
% 15.16/3.47 fof(f108167,plain,(
% 15.16/3.47 spl0_2355 <=> k1_xboole_0=k1_xboole_0),
% 15.16/3.47 introduced(split_symbol_definition)).
% 15.16/3.47 fof(f108170,plain,(
% 15.16/3.47 ![X0]: (~X0=k1_xboole_0|k1_xboole_0=k1_xboole_0)),
% 15.16/3.47 inference(paramodulation,[status(thm)],[f108103,f19282])).
% 15.16/3.47 fof(f108171,plain,(
% 15.16/3.47 spl0_2354|spl0_2355),
% 15.16/3.47 inference(split_clause,[status(thm)],[f108170,f108164,f108167])).
% 15.16/3.47 fof(f108174,plain,(
% 15.16/3.47 $false|~spl0_2354),
% 15.16/3.47 inference(destructive_equality_resolution,[status(esa)],[f108165])).
% 15.16/3.47 fof(f108175,plain,(
% 15.16/3.47 ~spl0_2354),
% 15.16/3.47 inference(contradiction_clause,[status(thm)],[f108174])).
% 15.16/3.47 fof(f108216,plain,(
% 15.16/3.47 spl0_2356 <=> v1_relat_1(k1_xboole_0)),
% 15.16/3.47 introduced(split_symbol_definition)).
% 15.16/3.47 fof(f108221,plain,(
% 15.16/3.47 ![X0]: (~v1_relat_1(X0)|v1_relat_1(k1_xboole_0))),
% 15.16/3.47 inference(paramodulation,[status(thm)],[f19340,f20578])).
% 15.16/3.47 fof(f108222,plain,(
% 15.16/3.47 spl0_749|spl0_2356),
% 15.16/3.47 inference(split_clause,[status(thm)],[f108221,f96915,f108216])).
% 15.16/3.47 fof(f108247,plain,(
% 15.16/3.47 ~r2_hidden(sk0_6518,sk0_6519)|r2_hidden(sk0_6518,sk0_6520)|spl0_1444),
% 15.16/3.47 inference(resolution,[status(thm)],[f103397,f99532])).
% 15.16/3.47 fof(f108248,plain,(
% 15.16/3.47 ~spl0_2352|spl0_1446|spl0_1444),
% 15.16/3.47 inference(split_clause,[status(thm)],[f108247,f108138,f99537,f99530])).
% 15.16/3.47 fof(f108249,plain,(
% 15.16/3.47 ~r2_hidden(sk0_6517,sk0_6519)|r2_hidden(sk0_6517,sk0_6520)|spl0_1443),
% 15.16/3.47 inference(resolution,[status(thm)],[f103397,f99529])).
% 15.16/3.47 fof(f108250,plain,(
% 15.16/3.47 ~spl0_2353|spl0_1445|spl0_1443),
% 15.16/3.47 inference(split_clause,[status(thm)],[f108249,f108143,f99534,f99527])).
% 15.16/3.47 fof(f108255,plain,(
% 15.16/3.47 $false),
% 15.16/3.47 inference(sat_refutation,[status(thm)],[f96918,f99533,f99540,f99541,f99542,f108121,f108131,f108142,f108147,f108171,f108175,f108222,f108248,f108250])).
% 15.16/3.47 % SZS output end CNFRefutation for theBenchmark.p
% 15.37/3.50 % Elapsed time: 3.118440 seconds
% 15.37/3.50 % CPU time: 13.609167 seconds
% 15.37/3.50 % Total memory used: 5.195 GB
% 15.37/3.50 % Net memory used: 5.168 GB
%------------------------------------------------------------------------------