TSTP Solution File: KRS078+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS078+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 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : KRS078+1 : TPTP v8.1.2. Released v3.1.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n020.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 23:22:47 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.34 fof(f16,axiom,(
% 0.10/0.34 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rr(X,Y)& (? [Z] :( rinvR(Y,Z)& (! [W] :( rs(Z,W)=> cp(W) ) )))& (! [Z0,Z1] :( ( rinvR(Y,Z0)& rinvR(Y,Z1) )=> Z0 = Z1 ) )))& (? [Y] :( rs(X,Y)& ~ cq(Y)& ~ cp(Y) ) )) ) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f17,axiom,(
% 0.10/0.34 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f18,axiom,(
% 0.10/0.34 cUnsatisfiable(i2003_11_14_17_19_13721) ),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f65,plain,(
% 0.10/0.34 ![X]: (cUnsatisfiable(X)<=>((?[Y]: ((rr(X,Y)&(?[Z]: (rinvR(Y,Z)&(![W]: (~rs(Z,W)|cp(W))))))&(![Z0,Z1]: ((~rinvR(Y,Z0)|~rinvR(Y,Z1))|Z0=Z1))))&(?[Y]: ((rs(X,Y)&~cq(Y))&~cp(Y)))))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.10/0.34 fof(f66,plain,(
% 0.10/0.34 ![Z,W]: (pd0_0(W,Z)<=>(~rs(Z,W)|cp(W)))),
% 0.10/0.34 introduced(predicate_definition,[f65])).
% 0.10/0.34 fof(f67,plain,(
% 0.10/0.34 ![X]: (cUnsatisfiable(X)<=>((?[Y]: ((rr(X,Y)&(?[Z]: (rinvR(Y,Z)&(![W]: pd0_0(W,Z)))))&(![Z0,Z1]: ((~rinvR(Y,Z0)|~rinvR(Y,Z1))|Z0=Z1))))&(?[Y]: ((rs(X,Y)&~cq(Y))&~cp(Y)))))),
% 0.10/0.34 inference(formula_renaming,[status(thm)],[f65,f66])).
% 0.10/0.34 fof(f68,plain,(
% 0.10/0.34 ![X]: ((~cUnsatisfiable(X)|((?[Y]: ((rr(X,Y)&(?[Z]: (rinvR(Y,Z)&(![W]: pd0_0(W,Z)))))&(![Z0,Z1]: ((~rinvR(Y,Z0)|~rinvR(Y,Z1))|Z0=Z1))))&(?[Y]: ((rs(X,Y)&~cq(Y))&~cp(Y)))))&(cUnsatisfiable(X)|((![Y]: ((~rr(X,Y)|(![Z]: (~rinvR(Y,Z)|(?[W]: ~pd0_0(W,Z)))))|(?[Z0,Z1]: ((rinvR(Y,Z0)&rinvR(Y,Z1))&~Z0=Z1))))|(![Y]: ((~rs(X,Y)|cq(Y))|cp(Y))))))),
% 0.10/0.34 inference(NNF_transformation,[status(esa)],[f67])).
% 0.10/0.34 fof(f69,plain,(
% 0.10/0.34 (![X]: (~cUnsatisfiable(X)|((?[Y]: ((rr(X,Y)&(?[Z]: (rinvR(Y,Z)&(![W]: pd0_0(W,Z)))))&(![Z0,Z1]: ((~rinvR(Y,Z0)|~rinvR(Y,Z1))|Z0=Z1))))&(?[Y]: ((rs(X,Y)&~cq(Y))&~cp(Y))))))&(![X]: (cUnsatisfiable(X)|((![Y]: ((~rr(X,Y)|(![Z]: (~rinvR(Y,Z)|(?[W]: ~pd0_0(W,Z)))))|(?[Z0,Z1]: ((rinvR(Y,Z0)&rinvR(Y,Z1))&~Z0=Z1))))|(![Y]: ((~rs(X,Y)|cq(Y))|cp(Y))))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f68])).
% 0.10/0.34 fof(f70,plain,(
% 0.10/0.34 (![X]: (~cUnsatisfiable(X)|(((rr(X,sk0_0(X))&(rinvR(sk0_0(X),sk0_1(X))&(![W]: pd0_0(W,sk0_1(X)))))&(![Z0,Z1]: ((~rinvR(sk0_0(X),Z0)|~rinvR(sk0_0(X),Z1))|Z0=Z1)))&((rs(X,sk0_2(X))&~cq(sk0_2(X)))&~cp(sk0_2(X))))))&(![X]: (cUnsatisfiable(X)|((![Y]: ((~rr(X,Y)|(![Z]: (~rinvR(Y,Z)|~pd0_0(sk0_3(Z,Y,X),Z))))|((rinvR(Y,sk0_4(Y,X))&rinvR(Y,sk0_5(Y,X)))&~sk0_4(Y,X)=sk0_5(Y,X))))|(![Y]: ((~rs(X,Y)|cq(Y))|cp(Y))))))),
% 0.10/0.34 inference(skolemization,[status(esa)],[f69])).
% 0.10/0.34 fof(f71,plain,(
% 0.10/0.34 ![X0]: (~cUnsatisfiable(X0)|rr(X0,sk0_0(X0)))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f70])).
% 0.10/0.34 fof(f72,plain,(
% 0.10/0.34 ![X0]: (~cUnsatisfiable(X0)|rinvR(sk0_0(X0),sk0_1(X0)))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f70])).
% 0.10/0.34 fof(f73,plain,(
% 0.10/0.34 ![X0,X1]: (~cUnsatisfiable(X0)|pd0_0(X1,sk0_1(X0)))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f70])).
% 0.10/0.34 fof(f74,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rinvR(sk0_0(X0),X1)|~rinvR(sk0_0(X0),X2)|X1=X2)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f70])).
% 0.10/0.34 fof(f75,plain,(
% 0.10/0.34 ![X0]: (~cUnsatisfiable(X0)|rs(X0,sk0_2(X0)))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f70])).
% 0.10/0.34 fof(f77,plain,(
% 0.10/0.34 ![X0]: (~cUnsatisfiable(X0)|~cp(sk0_2(X0)))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f70])).
% 0.10/0.34 fof(f81,plain,(
% 0.10/0.34 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.10/0.34 inference(NNF_transformation,[status(esa)],[f17])).
% 0.10/0.34 fof(f82,plain,(
% 0.10/0.34 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f81])).
% 0.10/0.34 fof(f84,plain,(
% 0.10/0.34 ![X0,X1]: (rinvR(X0,X1)|~rr(X1,X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f82])).
% 0.10/0.34 fof(f85,plain,(
% 0.10/0.34 cUnsatisfiable(i2003_11_14_17_19_13721)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f18])).
% 0.10/0.34 fof(f86,plain,(
% 0.10/0.34 ![Z,W]: ((~pd0_0(W,Z)|(~rs(Z,W)|cp(W)))&(pd0_0(W,Z)|(rs(Z,W)&~cp(W))))),
% 0.10/0.34 inference(NNF_transformation,[status(esa)],[f66])).
% 0.10/0.34 fof(f87,plain,(
% 0.10/0.34 (![Z,W]: (~pd0_0(W,Z)|(~rs(Z,W)|cp(W))))&(![Z,W]: (pd0_0(W,Z)|(rs(Z,W)&~cp(W))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f86])).
% 0.10/0.35 fof(f88,plain,(
% 0.10/0.35 ![X0,X1]: (~pd0_0(X0,X1)|~rs(X1,X0)|cp(X0))),
% 0.10/0.35 inference(cnf_transformation,[status(esa)],[f87])).
% 0.10/0.35 fof(f105,plain,(
% 0.10/0.35 ![X0]: (~pd0_0(sk0_2(X0),X0)|cp(sk0_2(X0))|~cUnsatisfiable(X0))),
% 0.10/0.35 inference(resolution,[status(thm)],[f88,f75])).
% 0.10/0.35 fof(f106,plain,(
% 0.10/0.35 ![X0]: (~pd0_0(sk0_2(X0),X0)|~cUnsatisfiable(X0))),
% 0.10/0.35 inference(forward_subsumption_resolution,[status(thm)],[f105,f77])).
% 0.10/0.35 fof(f107,plain,(
% 0.10/0.35 ~pd0_0(sk0_2(i2003_11_14_17_19_13721),i2003_11_14_17_19_13721)),
% 0.10/0.35 inference(resolution,[status(thm)],[f106,f85])).
% 0.10/0.35 fof(f114,plain,(
% 0.10/0.35 ![X0,X1]: (~rinvR(sk0_0(i2003_11_14_17_19_13721),X0)|~rinvR(sk0_0(i2003_11_14_17_19_13721),X1)|X0=X1)),
% 0.10/0.35 inference(resolution,[status(thm)],[f74,f85])).
% 0.10/0.35 fof(f118,plain,(
% 0.10/0.35 spl0_5 <=> cUnsatisfiable(i2003_11_14_17_19_13721)),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f120,plain,(
% 0.10/0.35 ~cUnsatisfiable(i2003_11_14_17_19_13721)|spl0_5),
% 0.10/0.35 inference(component_clause,[status(thm)],[f118])).
% 0.10/0.35 fof(f123,plain,(
% 0.10/0.35 ![X0,X1]: (~rinvR(sk0_0(i2003_11_14_17_19_13721),X0)|X0=X1|~rr(X1,sk0_0(i2003_11_14_17_19_13721)))),
% 0.10/0.35 inference(resolution,[status(thm)],[f114,f84])).
% 0.10/0.35 fof(f124,plain,(
% 0.10/0.35 $false|spl0_5),
% 0.10/0.35 inference(forward_subsumption_resolution,[status(thm)],[f120,f85])).
% 0.10/0.35 fof(f125,plain,(
% 0.10/0.35 spl0_5),
% 0.10/0.35 inference(contradiction_clause,[status(thm)],[f124])).
% 0.10/0.35 fof(f126,plain,(
% 0.10/0.35 spl0_6 <=> ~rinvR(sk0_0(i2003_11_14_17_19_13721),X0)|X0=i2003_11_14_17_19_13721),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f127,plain,(
% 0.10/0.35 ![X0]: (~rinvR(sk0_0(i2003_11_14_17_19_13721),X0)|X0=i2003_11_14_17_19_13721|~spl0_6)),
% 0.10/0.35 inference(component_clause,[status(thm)],[f126])).
% 0.10/0.35 fof(f129,plain,(
% 0.10/0.35 ![X0]: (~rinvR(sk0_0(i2003_11_14_17_19_13721),X0)|X0=i2003_11_14_17_19_13721|~cUnsatisfiable(i2003_11_14_17_19_13721))),
% 0.10/0.35 inference(resolution,[status(thm)],[f123,f71])).
% 0.10/0.35 fof(f130,plain,(
% 0.10/0.35 spl0_6|~spl0_5),
% 0.10/0.35 inference(split_clause,[status(thm)],[f129,f126,f118])).
% 0.10/0.35 fof(f179,plain,(
% 0.10/0.35 spl0_14 <=> sk0_1(i2003_11_14_17_19_13721)=i2003_11_14_17_19_13721),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f180,plain,(
% 0.10/0.35 sk0_1(i2003_11_14_17_19_13721)=i2003_11_14_17_19_13721|~spl0_14),
% 0.10/0.35 inference(component_clause,[status(thm)],[f179])).
% 0.10/0.35 fof(f182,plain,(
% 0.10/0.35 sk0_1(i2003_11_14_17_19_13721)=i2003_11_14_17_19_13721|~cUnsatisfiable(i2003_11_14_17_19_13721)|~spl0_6),
% 0.10/0.35 inference(resolution,[status(thm)],[f127,f72])).
% 0.10/0.35 fof(f183,plain,(
% 0.10/0.35 spl0_14|~spl0_5|~spl0_6),
% 0.10/0.35 inference(split_clause,[status(thm)],[f182,f179,f118,f126])).
% 0.10/0.35 fof(f201,plain,(
% 0.10/0.35 spl0_17 <=> pd0_0(X0,i2003_11_14_17_19_13721)),
% 0.10/0.35 introduced(split_symbol_definition)).
% 0.10/0.35 fof(f202,plain,(
% 0.10/0.35 ![X0]: (pd0_0(X0,i2003_11_14_17_19_13721)|~spl0_17)),
% 0.10/0.35 inference(component_clause,[status(thm)],[f201])).
% 0.10/0.35 fof(f204,plain,(
% 0.10/0.35 ![X0]: (~cUnsatisfiable(i2003_11_14_17_19_13721)|pd0_0(X0,i2003_11_14_17_19_13721)|~spl0_14)),
% 0.10/0.35 inference(paramodulation,[status(thm)],[f180,f73])).
% 0.10/0.35 fof(f205,plain,(
% 0.10/0.35 ~spl0_5|spl0_17|~spl0_14),
% 0.10/0.35 inference(split_clause,[status(thm)],[f204,f118,f201,f179])).
% 0.10/0.35 fof(f211,plain,(
% 0.10/0.35 $false|~spl0_17),
% 0.10/0.35 inference(backward_subsumption_resolution,[status(thm)],[f107,f202])).
% 0.10/0.35 fof(f212,plain,(
% 0.10/0.35 ~spl0_17),
% 0.10/0.35 inference(contradiction_clause,[status(thm)],[f211])).
% 0.10/0.35 fof(f213,plain,(
% 0.10/0.35 $false),
% 0.10/0.35 inference(sat_refutation,[status(thm)],[f125,f130,f183,f205,f212])).
% 0.10/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.35 % Elapsed time: 0.015100 seconds
% 0.17/0.35 % CPU time: 0.026637 seconds
% 0.17/0.35 % Total memory used: 987.888 KB
% 0.17/0.35 % Net memory used: 967.376 KB
%------------------------------------------------------------------------------