TSTP Solution File: KRS072+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS072+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:24:42 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS072+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 23:30:47 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f17,axiom,(
% 0.14/0.36 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rinvR(X,Y)& (! [Z0,Z1] :( ( rr(Y,Z0)& rr(Y,Z1) )=> Z0 = Z1 ))& (? [Z] :( rr(Y,Z)& cp1(Z) ) )))& cp2(X) ) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f18,axiom,(
% 0.14/0.36 (! [X] :( cp1(X)=> ~ ( cp3(X)| cp2(X)| cp4(X)| cp5(X) ) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f22,axiom,(
% 0.14/0.36 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f23,axiom,(
% 0.14/0.36 cUnsatisfiable(i2003_11_14_17_18_50190) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f73,plain,(
% 0.14/0.36 ![X]: (cUnsatisfiable(X)<=>((?[Y]: ((rinvR(X,Y)&(![Z0,Z1]: ((~rr(Y,Z0)|~rr(Y,Z1))|Z0=Z1)))&(?[Z]: (rr(Y,Z)&cp1(Z)))))&cp2(X)))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.14/0.36 fof(f74,plain,(
% 0.14/0.36 ![X]: ((~cUnsatisfiable(X)|((?[Y]: ((rinvR(X,Y)&(![Z0,Z1]: ((~rr(Y,Z0)|~rr(Y,Z1))|Z0=Z1)))&(?[Z]: (rr(Y,Z)&cp1(Z)))))&cp2(X)))&(cUnsatisfiable(X)|((![Y]: ((~rinvR(X,Y)|(?[Z0,Z1]: ((rr(Y,Z0)&rr(Y,Z1))&~Z0=Z1)))|(![Z]: (~rr(Y,Z)|~cp1(Z)))))|~cp2(X))))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f73])).
% 0.14/0.36 fof(f75,plain,(
% 0.14/0.36 (![X]: (~cUnsatisfiable(X)|((?[Y]: ((rinvR(X,Y)&(![Z0,Z1]: ((~rr(Y,Z0)|~rr(Y,Z1))|Z0=Z1)))&(?[Z]: (rr(Y,Z)&cp1(Z)))))&cp2(X))))&(![X]: (cUnsatisfiable(X)|((![Y]: ((~rinvR(X,Y)|(?[Z0,Z1]: ((rr(Y,Z0)&rr(Y,Z1))&~Z0=Z1)))|(![Z]: (~rr(Y,Z)|~cp1(Z)))))|~cp2(X))))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f74])).
% 0.14/0.36 fof(f76,plain,(
% 0.14/0.36 (![X]: (~cUnsatisfiable(X)|(((rinvR(X,sk0_0(X))&(![Z0,Z1]: ((~rr(sk0_0(X),Z0)|~rr(sk0_0(X),Z1))|Z0=Z1)))&(rr(sk0_0(X),sk0_1(X))&cp1(sk0_1(X))))&cp2(X))))&(![X]: (cUnsatisfiable(X)|((![Y]: ((~rinvR(X,Y)|((rr(Y,sk0_2(Y,X))&rr(Y,sk0_3(Y,X)))&~sk0_2(Y,X)=sk0_3(Y,X)))|(![Z]: (~rr(Y,Z)|~cp1(Z)))))|~cp2(X))))),
% 0.14/0.36 inference(skolemization,[status(esa)],[f75])).
% 0.14/0.36 fof(f77,plain,(
% 0.14/0.36 ![X0]: (~cUnsatisfiable(X0)|rinvR(X0,sk0_0(X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f76])).
% 0.14/0.36 fof(f78,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rr(sk0_0(X0),X1)|~rr(sk0_0(X0),X2)|X1=X2)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f76])).
% 0.14/0.36 fof(f79,plain,(
% 0.14/0.36 ![X0]: (~cUnsatisfiable(X0)|rr(sk0_0(X0),sk0_1(X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f76])).
% 0.14/0.36 fof(f80,plain,(
% 0.14/0.36 ![X0]: (~cUnsatisfiable(X0)|cp1(sk0_1(X0)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f76])).
% 0.14/0.36 fof(f81,plain,(
% 0.14/0.36 ![X0]: (~cUnsatisfiable(X0)|cp2(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f76])).
% 0.14/0.36 fof(f85,plain,(
% 0.14/0.36 ![X]: (~cp1(X)|(((~cp3(X)&~cp2(X))&~cp4(X))&~cp5(X)))),
% 0.14/0.36 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.14/0.36 fof(f87,plain,(
% 0.14/0.36 ![X0]: (~cp1(X0)|~cp2(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f85])).
% 0.14/0.36 fof(f99,plain,(
% 0.14/0.36 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.14/0.36 inference(NNF_transformation,[status(esa)],[f22])).
% 0.14/0.36 fof(f100,plain,(
% 0.14/0.36 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f99])).
% 0.14/0.36 fof(f101,plain,(
% 0.14/0.36 ![X0,X1]: (~rinvR(X0,X1)|rr(X1,X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f100])).
% 0.14/0.36 fof(f103,plain,(
% 0.14/0.36 cUnsatisfiable(i2003_11_14_17_18_50190)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.36 fof(f104,plain,(
% 0.14/0.36 cp1(sk0_1(i2003_11_14_17_18_50190))),
% 0.14/0.36 inference(resolution,[status(thm)],[f80,f103])).
% 0.14/0.36 fof(f105,plain,(
% 0.14/0.36 ~cp2(sk0_1(i2003_11_14_17_18_50190))),
% 0.14/0.36 inference(resolution,[status(thm)],[f104,f87])).
% 0.14/0.36 fof(f108,plain,(
% 0.14/0.36 ~cUnsatisfiable(sk0_1(i2003_11_14_17_18_50190))),
% 0.14/0.36 inference(resolution,[status(thm)],[f105,f81])).
% 0.14/0.36 fof(f109,plain,(
% 0.14/0.36 ![X0]: (rr(sk0_0(X0),X0)|~cUnsatisfiable(X0))),
% 0.14/0.36 inference(resolution,[status(thm)],[f101,f77])).
% 0.14/0.36 fof(f110,plain,(
% 0.14/0.36 rr(sk0_0(i2003_11_14_17_18_50190),i2003_11_14_17_18_50190)),
% 0.14/0.36 inference(resolution,[status(thm)],[f109,f103])).
% 0.14/0.36 fof(f111,plain,(
% 0.14/0.36 spl0_0 <=> cUnsatisfiable(i2003_11_14_17_18_50190)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f113,plain,(
% 0.14/0.36 ~cUnsatisfiable(i2003_11_14_17_18_50190)|spl0_0),
% 0.14/0.36 inference(component_clause,[status(thm)],[f111])).
% 0.14/0.36 fof(f114,plain,(
% 0.14/0.36 spl0_1 <=> ~rr(sk0_0(i2003_11_14_17_18_50190),X0)|X0=i2003_11_14_17_18_50190),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f115,plain,(
% 0.14/0.36 ![X0]: (~rr(sk0_0(i2003_11_14_17_18_50190),X0)|X0=i2003_11_14_17_18_50190|~spl0_1)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f114])).
% 0.14/0.36 fof(f117,plain,(
% 0.14/0.36 ![X0]: (~cUnsatisfiable(i2003_11_14_17_18_50190)|~rr(sk0_0(i2003_11_14_17_18_50190),X0)|X0=i2003_11_14_17_18_50190)),
% 0.14/0.36 inference(resolution,[status(thm)],[f110,f78])).
% 0.14/0.36 fof(f118,plain,(
% 0.14/0.36 ~spl0_0|spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f117,f111,f114])).
% 0.14/0.36 fof(f120,plain,(
% 0.14/0.36 $false|spl0_0),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f113,f103])).
% 0.14/0.36 fof(f121,plain,(
% 0.14/0.36 spl0_0),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f120])).
% 0.14/0.36 fof(f123,plain,(
% 0.14/0.36 rr(sk0_0(i2003_11_14_17_18_50190),sk0_1(i2003_11_14_17_18_50190))),
% 0.14/0.36 inference(resolution,[status(thm)],[f79,f103])).
% 0.14/0.36 fof(f133,plain,(
% 0.14/0.36 sk0_1(i2003_11_14_17_18_50190)=i2003_11_14_17_18_50190|~spl0_1),
% 0.14/0.36 inference(resolution,[status(thm)],[f115,f123])).
% 0.14/0.36 fof(f136,plain,(
% 0.14/0.36 ~cUnsatisfiable(i2003_11_14_17_18_50190)|~spl0_1),
% 0.14/0.36 inference(backward_demodulation,[status(thm)],[f133,f108])).
% 0.14/0.36 fof(f137,plain,(
% 0.14/0.36 ~spl0_0|~spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f136,f111,f114])).
% 0.14/0.36 fof(f142,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f118,f121,f137])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.38 % Elapsed time: 0.014558 seconds
% 0.14/0.38 % CPU time: 0.024006 seconds
% 0.14/0.38 % Total memory used: 758.576 KB
% 0.14/0.38 % Net memory used: 744.960 KB
%------------------------------------------------------------------------------