TSTP Solution File: KRS098+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:24:46 EDT 2024
% Result : Unsatisfiable 0.08s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n008.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Mon Apr 29 23:29:27 EDT 2024
% 0.08/0.30 % CPUTime :
% 0.08/0.30 % Drodi V3.6.0
% 0.08/0.31 % Refutation found
% 0.08/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.31 fof(f28,axiom,(
% 0.08/0.31 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr3(X,Y)& (? [Z] :( rt3(Y,Z)& ce(Z) ))& (! [Z0,Z1] :( ( rtt(Y,Z0)& rtt(Y,Z1) )=> Z0 = Z1 ) )))& (? [Y] :( rr2(X,Y)& (! [Z0,Z1] :( ( rtt(Y,Z0)& rtt(Y,Z1) )=> Z0 = Z1 ))& (? [Z] :( rt2(Y,Z)& cd(Z) ) )))& ~ (? [Y0,Y1] :( rr(X,Y0)& rr(X,Y1)& Y0 != Y1 ))& (? [Y] :( rr1(X,Y)& (! [Z0,Z1] :( ( rtt(Y,Z0)& rtt(Y,Z1) )=> Z0 = Z1 ))& (? [Z] :( rt1(Y,Z)& cc(Z) ) )) )) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f29,axiom,(
% 0.08/0.31 (! [X] :( ca(X)<=> ( cc(X)| cd(X) ) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f30,axiom,(
% 0.08/0.31 cUnsatisfiable(i2003_11_14_17_20_25524) ),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f32,axiom,(
% 0.08/0.31 (! [X] :~ ( ce(X)& cc(X) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f33,axiom,(
% 0.08/0.31 (! [X] :~ ( ce(X)& cd(X) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f34,axiom,(
% 0.08/0.31 (! [X,Y] :( rr1(X,Y)=> rr(X,Y) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f35,axiom,(
% 0.08/0.31 (! [X,Y] :( rr2(X,Y)=> rr(X,Y) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f37,axiom,(
% 0.08/0.31 (! [X,Y] :( rt2(X,Y)=> rtt(X,Y) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f38,axiom,(
% 0.08/0.31 (! [X,Y] :( rr3(X,Y)=> rr(X,Y) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f39,axiom,(
% 0.08/0.31 (! [X,Y] :( rt3(X,Y)=> rtt(X,Y) ) )),
% 0.08/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f122,plain,(
% 0.08/0.31 ![X]: (cUnsatisfiable(X)<=>((((?[Y]: ((rr3(X,Y)&(?[Z]: (rt3(Y,Z)&ce(Z))))&(![Z0,Z1]: ((~rtt(Y,Z0)|~rtt(Y,Z1))|Z0=Z1))))&(?[Y]: ((rr2(X,Y)&(![Z0,Z1]: ((~rtt(Y,Z0)|~rtt(Y,Z1))|Z0=Z1)))&(?[Z]: (rt2(Y,Z)&cd(Z))))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))&(?[Y]: ((rr1(X,Y)&(![Z0,Z1]: ((~rtt(Y,Z0)|~rtt(Y,Z1))|Z0=Z1)))&(?[Z]: (rt1(Y,Z)&cc(Z)))))))),
% 0.08/0.31 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.08/0.31 fof(f123,plain,(
% 0.08/0.31 ![Y,Z0,Z1]: (pd0_0(Z1,Z0,Y)<=>((~rtt(Y,Z0)|~rtt(Y,Z1))|Z0=Z1))),
% 0.08/0.31 introduced(predicate_definition,[f122])).
% 0.08/0.31 fof(f124,plain,(
% 0.08/0.31 ![Y,Z0,Z1]: (pd0_1(Z1,Z0,Y)<=>((~rtt(Y,Z0)|~rtt(Y,Z1))|Z0=Z1))),
% 0.08/0.31 introduced(predicate_definition,[f122])).
% 0.08/0.31 fof(f125,plain,(
% 0.08/0.31 ![X]: (cUnsatisfiable(X)<=>((((?[Y]: ((rr3(X,Y)&(?[Z]: (rt3(Y,Z)&ce(Z))))&(![Z0,Z1]: pd0_0(Z1,Z0,Y))))&(?[Y]: ((rr2(X,Y)&(![Z0,Z1]: pd0_1(Z1,Z0,Y)))&(?[Z]: (rt2(Y,Z)&cd(Z))))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))&(?[Y]: ((rr1(X,Y)&(![Z0,Z1]: ((~rtt(Y,Z0)|~rtt(Y,Z1))|Z0=Z1)))&(?[Z]: (rt1(Y,Z)&cc(Z)))))))),
% 0.08/0.31 inference(formula_renaming,[status(thm)],[f122,f124,f123])).
% 0.08/0.31 fof(f126,plain,(
% 0.08/0.31 ![X]: ((~cUnsatisfiable(X)|((((?[Y]: ((rr3(X,Y)&(?[Z]: (rt3(Y,Z)&ce(Z))))&(![Z0,Z1]: pd0_0(Z1,Z0,Y))))&(?[Y]: ((rr2(X,Y)&(![Z0,Z1]: pd0_1(Z1,Z0,Y)))&(?[Z]: (rt2(Y,Z)&cd(Z))))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))&(?[Y]: ((rr1(X,Y)&(![Z0,Z1]: ((~rtt(Y,Z0)|~rtt(Y,Z1))|Z0=Z1)))&(?[Z]: (rt1(Y,Z)&cc(Z)))))))&(cUnsatisfiable(X)|((((![Y]: ((~rr3(X,Y)|(![Z]: (~rt3(Y,Z)|~ce(Z))))|(?[Z0,Z1]: ~pd0_0(Z1,Z0,Y))))|(![Y]: ((~rr2(X,Y)|(?[Z0,Z1]: ~pd0_1(Z1,Z0,Y)))|(![Z]: (~rt2(Y,Z)|~cd(Z))))))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))|(![Y]: ((~rr1(X,Y)|(?[Z0,Z1]: ((rtt(Y,Z0)&rtt(Y,Z1))&~Z0=Z1)))|(![Z]: (~rt1(Y,Z)|~cc(Z))))))))),
% 0.08/0.31 inference(NNF_transformation,[status(esa)],[f125])).
% 0.08/0.31 fof(f127,plain,(
% 0.08/0.31 (![X]: (~cUnsatisfiable(X)|((((?[Y]: ((rr3(X,Y)&(?[Z]: (rt3(Y,Z)&ce(Z))))&(![Z0,Z1]: pd0_0(Z1,Z0,Y))))&(?[Y]: ((rr2(X,Y)&(![Z0,Z1]: pd0_1(Z1,Z0,Y)))&(?[Z]: (rt2(Y,Z)&cd(Z))))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))&(?[Y]: ((rr1(X,Y)&(![Z0,Z1]: ((~rtt(Y,Z0)|~rtt(Y,Z1))|Z0=Z1)))&(?[Z]: (rt1(Y,Z)&cc(Z))))))))&(![X]: (cUnsatisfiable(X)|((((![Y]: ((~rr3(X,Y)|(![Z]: (~rt3(Y,Z)|~ce(Z))))|(?[Z0,Z1]: ~pd0_0(Z1,Z0,Y))))|(![Y]: ((~rr2(X,Y)|(?[Z0,Z1]: ~pd0_1(Z1,Z0,Y)))|(![Z]: (~rt2(Y,Z)|~cd(Z))))))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))|(![Y]: ((~rr1(X,Y)|(?[Z0,Z1]: ((rtt(Y,Z0)&rtt(Y,Z1))&~Z0=Z1)))|(![Z]: (~rt1(Y,Z)|~cc(Z))))))))),
% 0.14/0.31 inference(miniscoping,[status(esa)],[f126])).
% 0.14/0.31 fof(f128,plain,(
% 0.14/0.31 (![X]: (~cUnsatisfiable(X)|(((((rr3(X,sk0_0(X))&(rt3(sk0_0(X),sk0_1(X))&ce(sk0_1(X))))&(![Z0,Z1]: pd0_0(Z1,Z0,sk0_0(X))))&((rr2(X,sk0_2(X))&(![Z0,Z1]: pd0_1(Z1,Z0,sk0_2(X))))&(rt2(sk0_2(X),sk0_3(X))&cd(sk0_3(X)))))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))&((rr1(X,sk0_4(X))&(![Z0,Z1]: ((~rtt(sk0_4(X),Z0)|~rtt(sk0_4(X),Z1))|Z0=Z1)))&(rt1(sk0_4(X),sk0_5(X))&cc(sk0_5(X)))))))&(![X]: (cUnsatisfiable(X)|((((![Y]: ((~rr3(X,Y)|(![Z]: (~rt3(Y,Z)|~ce(Z))))|~pd0_0(sk0_7(Y,X),sk0_6(Y,X),Y)))|(![Y]: ((~rr2(X,Y)|~pd0_1(sk0_9(Y,X),sk0_8(Y,X),Y))|(![Z]: (~rt2(Y,Z)|~cd(Z))))))|((rr(X,sk0_10(X))&rr(X,sk0_11(X)))&~sk0_10(X)=sk0_11(X)))|(![Y]: ((~rr1(X,Y)|((rtt(Y,sk0_12(Y,X))&rtt(Y,sk0_13(Y,X)))&~sk0_12(Y,X)=sk0_13(Y,X)))|(![Z]: (~rt1(Y,Z)|~cc(Z))))))))),
% 0.14/0.31 inference(skolemization,[status(esa)],[f127])).
% 0.14/0.31 fof(f129,plain,(
% 0.14/0.31 ![X0]: (~cUnsatisfiable(X0)|rr3(X0,sk0_0(X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f130,plain,(
% 0.14/0.31 ![X0]: (~cUnsatisfiable(X0)|rt3(sk0_0(X0),sk0_1(X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f131,plain,(
% 0.14/0.31 ![X0]: (~cUnsatisfiable(X0)|ce(sk0_1(X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f133,plain,(
% 0.14/0.31 ![X0]: (~cUnsatisfiable(X0)|rr2(X0,sk0_2(X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f134,plain,(
% 0.14/0.31 ![X0,X1,X2]: (~cUnsatisfiable(X0)|pd0_1(X1,X2,sk0_2(X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f135,plain,(
% 0.14/0.31 ![X0]: (~cUnsatisfiable(X0)|rt2(sk0_2(X0),sk0_3(X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f136,plain,(
% 0.14/0.31 ![X0]: (~cUnsatisfiable(X0)|cd(sk0_3(X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f137,plain,(
% 0.14/0.31 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rr(X0,X1)|~rr(X0,X2)|X1=X2)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f138,plain,(
% 0.14/0.31 ![X0]: (~cUnsatisfiable(X0)|rr1(X0,sk0_4(X0)))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.31 fof(f151,plain,(
% 0.14/0.31 ![X]: ((~ca(X)|(cc(X)|cd(X)))&(ca(X)|(~cc(X)&~cd(X))))),
% 0.14/0.31 inference(NNF_transformation,[status(esa)],[f29])).
% 0.14/0.31 fof(f152,plain,(
% 0.14/0.31 (![X]: (~ca(X)|(cc(X)|cd(X))))&(![X]: (ca(X)|(~cc(X)&~cd(X))))),
% 0.14/0.31 inference(miniscoping,[status(esa)],[f151])).
% 0.14/0.31 fof(f153,plain,(
% 0.14/0.31 ![X0]: (~ca(X0)|cc(X0)|cd(X0))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f152])).
% 0.14/0.31 fof(f155,plain,(
% 0.14/0.31 ![X0]: (ca(X0)|~cd(X0))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f152])).
% 0.14/0.31 fof(f156,plain,(
% 0.14/0.31 cUnsatisfiable(i2003_11_14_17_20_25524)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.31 fof(f159,plain,(
% 0.14/0.31 ![X]: (~ce(X)|~cc(X))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 0.14/0.31 fof(f160,plain,(
% 0.14/0.31 ![X0]: (~ce(X0)|~cc(X0))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f159])).
% 0.14/0.31 fof(f161,plain,(
% 0.14/0.31 ![X]: (~ce(X)|~cd(X))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.14/0.31 fof(f162,plain,(
% 0.14/0.31 ![X0]: (~ce(X0)|~cd(X0))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f161])).
% 0.14/0.31 fof(f163,plain,(
% 0.14/0.31 ![X,Y]: (~rr1(X,Y)|rr(X,Y))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.14/0.31 fof(f164,plain,(
% 0.14/0.31 ![X0,X1]: (~rr1(X0,X1)|rr(X0,X1))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f163])).
% 0.14/0.31 fof(f165,plain,(
% 0.14/0.31 ![X,Y]: (~rr2(X,Y)|rr(X,Y))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.14/0.31 fof(f166,plain,(
% 0.14/0.31 ![X0,X1]: (~rr2(X0,X1)|rr(X0,X1))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f165])).
% 0.14/0.31 fof(f169,plain,(
% 0.14/0.31 ![X,Y]: (~rt2(X,Y)|rtt(X,Y))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.14/0.31 fof(f170,plain,(
% 0.14/0.31 ![X0,X1]: (~rt2(X0,X1)|rtt(X0,X1))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f169])).
% 0.14/0.31 fof(f171,plain,(
% 0.14/0.31 ![X,Y]: (~rr3(X,Y)|rr(X,Y))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.14/0.31 fof(f172,plain,(
% 0.14/0.31 ![X0,X1]: (~rr3(X0,X1)|rr(X0,X1))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f171])).
% 0.14/0.31 fof(f173,plain,(
% 0.14/0.31 ![X,Y]: (~rt3(X,Y)|rtt(X,Y))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.14/0.31 fof(f174,plain,(
% 0.14/0.31 ![X0,X1]: (~rt3(X0,X1)|rtt(X0,X1))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f173])).
% 0.14/0.31 fof(f181,plain,(
% 0.14/0.31 ![Y,Z0,Z1]: ((~pd0_1(Z1,Z0,Y)|((~rtt(Y,Z0)|~rtt(Y,Z1))|Z0=Z1))&(pd0_1(Z1,Z0,Y)|((rtt(Y,Z0)&rtt(Y,Z1))&~Z0=Z1)))),
% 0.14/0.31 inference(NNF_transformation,[status(esa)],[f124])).
% 0.14/0.31 fof(f182,plain,(
% 0.14/0.31 (![Y,Z0,Z1]: (~pd0_1(Z1,Z0,Y)|((~rtt(Y,Z0)|~rtt(Y,Z1))|Z0=Z1)))&(![Y,Z0,Z1]: (pd0_1(Z1,Z0,Y)|((rtt(Y,Z0)&rtt(Y,Z1))&~Z0=Z1)))),
% 0.14/0.31 inference(miniscoping,[status(esa)],[f181])).
% 0.14/0.31 fof(f183,plain,(
% 0.14/0.31 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|~rtt(X2,X1)|~rtt(X2,X0)|X1=X0)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f182])).
% 0.14/0.31 fof(f189,plain,(
% 0.14/0.31 ce(sk0_1(i2003_11_14_17_20_25524))),
% 0.14/0.31 inference(resolution,[status(thm)],[f131,f156])).
% 0.14/0.31 fof(f190,plain,(
% 0.14/0.31 ~cd(sk0_1(i2003_11_14_17_20_25524))),
% 0.14/0.31 inference(resolution,[status(thm)],[f189,f162])).
% 0.14/0.31 fof(f191,plain,(
% 0.14/0.31 ~cc(sk0_1(i2003_11_14_17_20_25524))),
% 0.14/0.31 inference(resolution,[status(thm)],[f189,f160])).
% 0.14/0.31 fof(f198,plain,(
% 0.14/0.31 rt3(sk0_0(i2003_11_14_17_20_25524),sk0_1(i2003_11_14_17_20_25524))),
% 0.14/0.31 inference(resolution,[status(thm)],[f130,f156])).
% 0.14/0.31 fof(f199,plain,(
% 0.14/0.31 spl0_0 <=> ca(sk0_1(i2003_11_14_17_20_25524))),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f202,plain,(
% 0.14/0.31 spl0_1 <=> cc(sk0_1(i2003_11_14_17_20_25524))),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f203,plain,(
% 0.14/0.31 cc(sk0_1(i2003_11_14_17_20_25524))|~spl0_1),
% 0.14/0.31 inference(component_clause,[status(thm)],[f202])).
% 0.14/0.31 fof(f205,plain,(
% 0.14/0.31 ~ca(sk0_1(i2003_11_14_17_20_25524))|cc(sk0_1(i2003_11_14_17_20_25524))),
% 0.14/0.31 inference(resolution,[status(thm)],[f190,f153])).
% 0.14/0.31 fof(f206,plain,(
% 0.14/0.31 ~spl0_0|spl0_1),
% 0.14/0.31 inference(split_clause,[status(thm)],[f205,f199,f202])).
% 0.14/0.31 fof(f207,plain,(
% 0.14/0.31 ![X0]: (~cUnsatisfiable(X0)|ca(sk0_3(X0)))),
% 0.14/0.31 inference(resolution,[status(thm)],[f136,f155])).
% 0.14/0.31 fof(f221,plain,(
% 0.14/0.31 ![X0]: (rr(X0,sk0_0(X0))|~cUnsatisfiable(X0))),
% 0.14/0.31 inference(resolution,[status(thm)],[f172,f129])).
% 0.14/0.31 fof(f222,plain,(
% 0.14/0.31 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sk0_2(X0)))),
% 0.14/0.31 inference(resolution,[status(thm)],[f133,f166])).
% 0.14/0.31 fof(f223,plain,(
% 0.14/0.31 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sk0_4(X0)))),
% 0.14/0.31 inference(resolution,[status(thm)],[f138,f164])).
% 0.14/0.31 fof(f224,plain,(
% 0.14/0.31 ![X0,X1]: (~rr(i2003_11_14_17_20_25524,X0)|~rr(i2003_11_14_17_20_25524,X1)|X0=X1)),
% 0.14/0.31 inference(resolution,[status(thm)],[f137,f156])).
% 0.14/0.31 fof(f232,plain,(
% 0.14/0.31 spl0_4 <=> ~rr(i2003_11_14_17_20_25524,X0)|X0=sk0_4(i2003_11_14_17_20_25524)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f233,plain,(
% 0.14/0.31 ![X0]: (~rr(i2003_11_14_17_20_25524,X0)|X0=sk0_4(i2003_11_14_17_20_25524)|~spl0_4)),
% 0.14/0.31 inference(component_clause,[status(thm)],[f232])).
% 0.14/0.31 fof(f235,plain,(
% 0.14/0.31 spl0_5 <=> cUnsatisfiable(i2003_11_14_17_20_25524)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f237,plain,(
% 0.14/0.31 ~cUnsatisfiable(i2003_11_14_17_20_25524)|spl0_5),
% 0.14/0.31 inference(component_clause,[status(thm)],[f235])).
% 0.14/0.31 fof(f238,plain,(
% 0.14/0.31 ![X0]: (~rr(i2003_11_14_17_20_25524,X0)|X0=sk0_4(i2003_11_14_17_20_25524)|~cUnsatisfiable(i2003_11_14_17_20_25524))),
% 0.14/0.31 inference(resolution,[status(thm)],[f224,f223])).
% 0.14/0.31 fof(f239,plain,(
% 0.14/0.31 spl0_4|~spl0_5),
% 0.14/0.31 inference(split_clause,[status(thm)],[f238,f232,f235])).
% 0.14/0.31 fof(f250,plain,(
% 0.14/0.31 $false|spl0_5),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f237,f156])).
% 0.14/0.31 fof(f251,plain,(
% 0.14/0.31 spl0_5),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f250])).
% 0.14/0.31 fof(f255,plain,(
% 0.14/0.31 ![X0,X1,X2]: (~pd0_1(X0,X1,X2)|~rtt(X2,X0)|X1=X0|~rt3(X2,X1))),
% 0.14/0.31 inference(resolution,[status(thm)],[f183,f174])).
% 0.14/0.31 fof(f264,plain,(
% 0.14/0.31 spl0_9 <=> sk0_2(i2003_11_14_17_20_25524)=sk0_4(i2003_11_14_17_20_25524)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f265,plain,(
% 0.14/0.31 sk0_2(i2003_11_14_17_20_25524)=sk0_4(i2003_11_14_17_20_25524)|~spl0_9),
% 0.14/0.31 inference(component_clause,[status(thm)],[f264])).
% 0.14/0.31 fof(f267,plain,(
% 0.14/0.31 sk0_2(i2003_11_14_17_20_25524)=sk0_4(i2003_11_14_17_20_25524)|~cUnsatisfiable(i2003_11_14_17_20_25524)|~spl0_4),
% 0.14/0.31 inference(resolution,[status(thm)],[f233,f222])).
% 0.14/0.31 fof(f268,plain,(
% 0.14/0.31 spl0_9|~spl0_5|~spl0_4),
% 0.14/0.31 inference(split_clause,[status(thm)],[f267,f264,f235,f232])).
% 0.14/0.31 fof(f269,plain,(
% 0.14/0.31 spl0_10 <=> sk0_0(i2003_11_14_17_20_25524)=sk0_4(i2003_11_14_17_20_25524)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f270,plain,(
% 0.14/0.31 sk0_0(i2003_11_14_17_20_25524)=sk0_4(i2003_11_14_17_20_25524)|~spl0_10),
% 0.14/0.32 inference(component_clause,[status(thm)],[f269])).
% 0.14/0.32 fof(f272,plain,(
% 0.14/0.32 sk0_0(i2003_11_14_17_20_25524)=sk0_4(i2003_11_14_17_20_25524)|~cUnsatisfiable(i2003_11_14_17_20_25524)|~spl0_4),
% 0.14/0.32 inference(resolution,[status(thm)],[f233,f221])).
% 0.14/0.32 fof(f273,plain,(
% 0.14/0.32 spl0_10|~spl0_5|~spl0_4),
% 0.14/0.32 inference(split_clause,[status(thm)],[f272,f269,f235,f232])).
% 0.14/0.32 fof(f276,plain,(
% 0.14/0.32 sk0_2(i2003_11_14_17_20_25524)=sk0_0(i2003_11_14_17_20_25524)|~spl0_10|~spl0_9),
% 0.14/0.32 inference(backward_demodulation,[status(thm)],[f270,f265])).
% 0.14/0.32 fof(f293,plain,(
% 0.14/0.32 spl0_14 <=> rt2(sk0_0(i2003_11_14_17_20_25524),sk0_3(i2003_11_14_17_20_25524))),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f294,plain,(
% 0.14/0.32 rt2(sk0_0(i2003_11_14_17_20_25524),sk0_3(i2003_11_14_17_20_25524))|~spl0_14),
% 0.14/0.32 inference(component_clause,[status(thm)],[f293])).
% 0.14/0.32 fof(f296,plain,(
% 0.14/0.32 ~cUnsatisfiable(i2003_11_14_17_20_25524)|rt2(sk0_0(i2003_11_14_17_20_25524),sk0_3(i2003_11_14_17_20_25524))|~spl0_10|~spl0_9),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f276,f135])).
% 0.14/0.32 fof(f297,plain,(
% 0.14/0.32 ~spl0_5|spl0_14|~spl0_10|~spl0_9),
% 0.14/0.32 inference(split_clause,[status(thm)],[f296,f235,f293,f269,f264])).
% 0.14/0.32 fof(f298,plain,(
% 0.14/0.32 spl0_15 <=> pd0_1(X0,X1,sk0_0(i2003_11_14_17_20_25524))),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f299,plain,(
% 0.14/0.32 ![X0,X1]: (pd0_1(X0,X1,sk0_0(i2003_11_14_17_20_25524))|~spl0_15)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f298])).
% 0.14/0.32 fof(f301,plain,(
% 0.14/0.32 ![X0,X1]: (~cUnsatisfiable(i2003_11_14_17_20_25524)|pd0_1(X0,X1,sk0_0(i2003_11_14_17_20_25524))|~spl0_10|~spl0_9)),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f276,f134])).
% 0.14/0.32 fof(f302,plain,(
% 0.14/0.32 ~spl0_5|spl0_15|~spl0_10|~spl0_9),
% 0.14/0.32 inference(split_clause,[status(thm)],[f301,f235,f298,f269,f264])).
% 0.14/0.32 fof(f346,plain,(
% 0.14/0.32 ![X0]: (~pd0_1(X0,sk0_1(i2003_11_14_17_20_25524),sk0_0(i2003_11_14_17_20_25524))|~rtt(sk0_0(i2003_11_14_17_20_25524),X0)|sk0_1(i2003_11_14_17_20_25524)=X0)),
% 0.14/0.32 inference(resolution,[status(thm)],[f255,f198])).
% 0.14/0.32 fof(f347,plain,(
% 0.14/0.32 ![X0]: (~rtt(sk0_0(i2003_11_14_17_20_25524),X0)|sk0_1(i2003_11_14_17_20_25524)=X0|~spl0_15)),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f346,f299])).
% 0.14/0.32 fof(f374,plain,(
% 0.14/0.32 ![X0]: (sk0_1(i2003_11_14_17_20_25524)=X0|~rt2(sk0_0(i2003_11_14_17_20_25524),X0)|~spl0_15)),
% 0.14/0.32 inference(resolution,[status(thm)],[f347,f170])).
% 0.14/0.32 fof(f382,plain,(
% 0.14/0.32 sk0_1(i2003_11_14_17_20_25524)=sk0_3(i2003_11_14_17_20_25524)|~spl0_15|~spl0_14),
% 0.14/0.32 inference(resolution,[status(thm)],[f374,f294])).
% 0.14/0.32 fof(f393,plain,(
% 0.14/0.32 ~cUnsatisfiable(i2003_11_14_17_20_25524)|ca(sk0_1(i2003_11_14_17_20_25524))|~spl0_15|~spl0_14),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f382,f207])).
% 0.14/0.32 fof(f394,plain,(
% 0.14/0.32 ~spl0_5|spl0_0|~spl0_15|~spl0_14),
% 0.14/0.32 inference(split_clause,[status(thm)],[f393,f235,f199,f298,f293])).
% 0.14/0.32 fof(f400,plain,(
% 0.14/0.32 $false|~spl0_1),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f203,f191])).
% 0.14/0.32 fof(f401,plain,(
% 0.14/0.32 ~spl0_1),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f400])).
% 0.14/0.32 fof(f402,plain,(
% 0.14/0.32 $false),
% 0.14/0.32 inference(sat_refutation,[status(thm)],[f206,f239,f251,f268,f273,f297,f302,f394,f401])).
% 0.14/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.33 % Elapsed time: 0.017762 seconds
% 0.14/0.33 % CPU time: 0.074008 seconds
% 0.14/0.33 % Total memory used: 2.913 MB
% 0.14/0.33 % Net memory used: 2.848 MB
%------------------------------------------------------------------------------