TSTP Solution File: KRS082+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS082+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:24:43 EDT 2024
% Result : Unsatisfiable 0.15s 0.37s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS082+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 23:30:55 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % Drodi V3.6.0
% 0.15/0.37 % Refutation found
% 0.15/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.37 fof(f3,axiom,(
% 0.15/0.37 (! [X] :( cUnsatisfiable(X)=> (? [Y] :( rs(X,Y)& (? [Z] :( rp(Y,Z)& cowlThing(Z) ))& (! [Z] :( rr(Y,Z)=> cc(Z) ))& (! [Z] :( rp(Y,Z)=> (? [W] :( rr(Z,W)& cowlThing(W) ) )))& (! [Z] :( rp(Y,Z)=> (? [W] :( rp(Z,W)& cowlThing(W) ) )))& (! [Z] :( rp(Y,Z)=> (! [W] :( rr(Z,W)=> cc(W) ) )))& (? [Z] :( rr(Y,Z)& cowlThing(Z) ) )) )) )),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f4,axiom,(
% 0.15/0.37 (! [X] :( cUnsatisfiable(X)=> ca(X) ) )),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f5,axiom,(
% 0.15/0.37 (! [X] :( cc(X)<=> (! [Y] :( rinvR(X,Y)=> (! [Z] :( rinvP(Y,Z)=> (! [W] :( rinvS(Z,W)=> ~ ca(W) ) )) )) )) )),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f6,axiom,(
% 0.15/0.37 (! [X,Y] :( rinvP(X,Y)<=> rp(Y,X) ) )),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f7,axiom,(
% 0.15/0.37 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f8,axiom,(
% 0.15/0.37 (! [X,Y] :( rinvS(X,Y)<=> rs(Y,X) ) )),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f10,axiom,(
% 0.15/0.37 cUnsatisfiable(i2003_11_14_17_19_28752) ),
% 0.15/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37 fof(f18,plain,(
% 0.15/0.37 ![X]: (~cUnsatisfiable(X)|(?[Y]: ((((((rs(X,Y)&(?[Z]: (rp(Y,Z)&cowlThing(Z))))&(![Z]: (~rr(Y,Z)|cc(Z))))&(![Z]: (~rp(Y,Z)|(?[W]: (rr(Z,W)&cowlThing(W))))))&(![Z]: (~rp(Y,Z)|(?[W]: (rp(Z,W)&cowlThing(W))))))&(![Z]: (~rp(Y,Z)|(![W]: (~rr(Z,W)|cc(W))))))&(?[Z]: (rr(Y,Z)&cowlThing(Z))))))),
% 0.15/0.37 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.15/0.37 fof(f19,plain,(
% 0.15/0.37 ![X]: (~cUnsatisfiable(X)|((((((rs(X,sk0_0(X))&(rp(sk0_0(X),sk0_1(X))&cowlThing(sk0_1(X))))&(![Z]: (~rr(sk0_0(X),Z)|cc(Z))))&(![Z]: (~rp(sk0_0(X),Z)|(rr(Z,sk0_2(Z,X))&cowlThing(sk0_2(Z,X))))))&(![Z]: (~rp(sk0_0(X),Z)|(rp(Z,sk0_3(Z,X))&cowlThing(sk0_3(Z,X))))))&(![Z]: (~rp(sk0_0(X),Z)|(![W]: (~rr(Z,W)|cc(W))))))&(rr(sk0_0(X),sk0_4(X))&cowlThing(sk0_4(X)))))),
% 0.15/0.37 inference(skolemization,[status(esa)],[f18])).
% 0.15/0.37 fof(f20,plain,(
% 0.15/0.37 ![X0]: (~cUnsatisfiable(X0)|rs(X0,sk0_0(X0)))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.37 fof(f21,plain,(
% 0.15/0.37 ![X0]: (~cUnsatisfiable(X0)|rp(sk0_0(X0),sk0_1(X0)))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.37 fof(f24,plain,(
% 0.15/0.37 ![X0,X1]: (~cUnsatisfiable(X0)|~rp(sk0_0(X0),X1)|rr(X1,sk0_2(X1,X0)))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.37 fof(f28,plain,(
% 0.15/0.37 ![X0,X1,X2]: (~cUnsatisfiable(X0)|~rp(sk0_0(X0),X1)|~rr(X1,X2)|cc(X2))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.37 fof(f31,plain,(
% 0.15/0.37 ![X]: (~cUnsatisfiable(X)|ca(X))),
% 0.15/0.37 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.15/0.37 fof(f32,plain,(
% 0.15/0.37 ![X0]: (~cUnsatisfiable(X0)|ca(X0))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.37 fof(f33,plain,(
% 0.15/0.37 ![X]: (cc(X)<=>(![Y]: (~rinvR(X,Y)|(![Z]: (~rinvP(Y,Z)|(![W]: (~rinvS(Z,W)|~ca(W))))))))),
% 0.15/0.37 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.15/0.37 fof(f34,plain,(
% 0.15/0.37 ![X]: ((~cc(X)|(![Y]: (~rinvR(X,Y)|(![Z]: (~rinvP(Y,Z)|(![W]: (~rinvS(Z,W)|~ca(W))))))))&(cc(X)|(?[Y]: (rinvR(X,Y)&(?[Z]: (rinvP(Y,Z)&(?[W]: (rinvS(Z,W)&ca(W)))))))))),
% 0.15/0.37 inference(NNF_transformation,[status(esa)],[f33])).
% 0.15/0.37 fof(f35,plain,(
% 0.15/0.37 (![X]: (~cc(X)|(![Y]: (~rinvR(X,Y)|(![Z]: (~rinvP(Y,Z)|(![W]: (~rinvS(Z,W)|~ca(W)))))))))&(![X]: (cc(X)|(?[Y]: (rinvR(X,Y)&(?[Z]: (rinvP(Y,Z)&(?[W]: (rinvS(Z,W)&ca(W)))))))))),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f34])).
% 0.15/0.37 fof(f36,plain,(
% 0.15/0.37 (![X]: (~cc(X)|(![Y]: (~rinvR(X,Y)|(![Z]: (~rinvP(Y,Z)|(![W]: (~rinvS(Z,W)|~ca(W)))))))))&(![X]: (cc(X)|(rinvR(X,sk0_5(X))&(rinvP(sk0_5(X),sk0_6(X))&(rinvS(sk0_6(X),sk0_7(X))&ca(sk0_7(X)))))))),
% 0.15/0.37 inference(skolemization,[status(esa)],[f35])).
% 0.15/0.37 fof(f37,plain,(
% 0.15/0.37 ![X0,X1,X2,X3]: (~cc(X0)|~rinvR(X0,X1)|~rinvP(X1,X2)|~rinvS(X2,X3)|~ca(X3))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f36])).
% 0.15/0.37 fof(f42,plain,(
% 0.15/0.37 ![X,Y]: ((~rinvP(X,Y)|rp(Y,X))&(rinvP(X,Y)|~rp(Y,X)))),
% 0.15/0.37 inference(NNF_transformation,[status(esa)],[f6])).
% 0.15/0.37 fof(f43,plain,(
% 0.15/0.37 (![X,Y]: (~rinvP(X,Y)|rp(Y,X)))&(![X,Y]: (rinvP(X,Y)|~rp(Y,X)))),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f42])).
% 0.15/0.37 fof(f45,plain,(
% 0.15/0.37 ![X0,X1]: (rinvP(X0,X1)|~rp(X1,X0))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f43])).
% 0.15/0.37 fof(f46,plain,(
% 0.15/0.37 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.15/0.37 inference(NNF_transformation,[status(esa)],[f7])).
% 0.15/0.37 fof(f47,plain,(
% 0.15/0.37 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f46])).
% 0.15/0.37 fof(f49,plain,(
% 0.15/0.37 ![X0,X1]: (rinvR(X0,X1)|~rr(X1,X0))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f47])).
% 0.15/0.37 fof(f50,plain,(
% 0.15/0.37 ![X,Y]: ((~rinvS(X,Y)|rs(Y,X))&(rinvS(X,Y)|~rs(Y,X)))),
% 0.15/0.37 inference(NNF_transformation,[status(esa)],[f8])).
% 0.15/0.37 fof(f51,plain,(
% 0.15/0.37 (![X,Y]: (~rinvS(X,Y)|rs(Y,X)))&(![X,Y]: (rinvS(X,Y)|~rs(Y,X)))),
% 0.15/0.37 inference(miniscoping,[status(esa)],[f50])).
% 0.15/0.37 fof(f53,plain,(
% 0.15/0.37 ![X0,X1]: (rinvS(X0,X1)|~rs(X1,X0))),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f51])).
% 0.15/0.37 fof(f57,plain,(
% 0.15/0.37 cUnsatisfiable(i2003_11_14_17_19_28752)),
% 0.15/0.37 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.37 fof(f58,plain,(
% 0.15/0.37 ca(i2003_11_14_17_19_28752)),
% 0.15/0.37 inference(resolution,[status(thm)],[f32,f57])).
% 0.15/0.37 fof(f59,plain,(
% 0.15/0.37 rs(i2003_11_14_17_19_28752,sk0_0(i2003_11_14_17_19_28752))),
% 0.15/0.37 inference(resolution,[status(thm)],[f20,f57])).
% 0.15/0.37 fof(f60,plain,(
% 0.15/0.37 rp(sk0_0(i2003_11_14_17_19_28752),sk0_1(i2003_11_14_17_19_28752))),
% 0.15/0.37 inference(resolution,[status(thm)],[f21,f57])).
% 0.15/0.37 fof(f67,plain,(
% 0.15/0.37 rinvS(sk0_0(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752)),
% 0.15/0.37 inference(resolution,[status(thm)],[f59,f53])).
% 0.15/0.37 fof(f69,plain,(
% 0.15/0.37 rinvP(sk0_1(i2003_11_14_17_19_28752),sk0_0(i2003_11_14_17_19_28752))),
% 0.15/0.37 inference(resolution,[status(thm)],[f60,f45])).
% 0.15/0.37 fof(f74,plain,(
% 0.15/0.37 spl0_0 <=> cUnsatisfiable(i2003_11_14_17_19_28752)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f76,plain,(
% 0.15/0.37 ~cUnsatisfiable(i2003_11_14_17_19_28752)|spl0_0),
% 0.15/0.37 inference(component_clause,[status(thm)],[f74])).
% 0.15/0.37 fof(f82,plain,(
% 0.15/0.37 $false|spl0_0),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f76,f57])).
% 0.15/0.37 fof(f83,plain,(
% 0.15/0.37 spl0_0),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f82])).
% 0.15/0.37 fof(f84,plain,(
% 0.15/0.37 spl0_2 <=> rr(sk0_1(i2003_11_14_17_19_28752),sk0_2(sk0_1(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752))),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f85,plain,(
% 0.15/0.37 rr(sk0_1(i2003_11_14_17_19_28752),sk0_2(sk0_1(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752))|~spl0_2),
% 0.15/0.37 inference(component_clause,[status(thm)],[f84])).
% 0.15/0.37 fof(f87,plain,(
% 0.15/0.37 ~cUnsatisfiable(i2003_11_14_17_19_28752)|rr(sk0_1(i2003_11_14_17_19_28752),sk0_2(sk0_1(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752))),
% 0.15/0.37 inference(resolution,[status(thm)],[f24,f60])).
% 0.15/0.37 fof(f88,plain,(
% 0.15/0.37 ~spl0_0|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f87,f74,f84])).
% 0.15/0.37 fof(f96,plain,(
% 0.15/0.37 spl0_4 <=> ~rr(sk0_1(i2003_11_14_17_19_28752),X0)|cc(X0)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f97,plain,(
% 0.15/0.37 ![X0]: (~rr(sk0_1(i2003_11_14_17_19_28752),X0)|cc(X0)|~spl0_4)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f96])).
% 0.15/0.37 fof(f99,plain,(
% 0.15/0.37 ![X0]: (~cUnsatisfiable(i2003_11_14_17_19_28752)|~rr(sk0_1(i2003_11_14_17_19_28752),X0)|cc(X0))),
% 0.15/0.37 inference(resolution,[status(thm)],[f28,f60])).
% 0.15/0.37 fof(f100,plain,(
% 0.15/0.37 ~spl0_0|spl0_4),
% 0.15/0.37 inference(split_clause,[status(thm)],[f99,f74,f96])).
% 0.15/0.37 fof(f101,plain,(
% 0.15/0.37 spl0_5 <=> ~cc(X0)|~rinvR(X0,sk0_1(i2003_11_14_17_19_28752))),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f102,plain,(
% 0.15/0.37 ![X0]: (~cc(X0)|~rinvR(X0,sk0_1(i2003_11_14_17_19_28752))|~spl0_5)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f101])).
% 0.15/0.37 fof(f110,plain,(
% 0.15/0.37 spl0_7 <=> ~cc(X0)|~rinvR(X0,X1)|~rinvP(X1,sk0_0(i2003_11_14_17_19_28752))),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f111,plain,(
% 0.15/0.37 ![X0,X1]: (~cc(X0)|~rinvR(X0,X1)|~rinvP(X1,sk0_0(i2003_11_14_17_19_28752))|~spl0_7)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f110])).
% 0.15/0.37 fof(f113,plain,(
% 0.15/0.37 spl0_8 <=> ca(i2003_11_14_17_19_28752)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f115,plain,(
% 0.15/0.37 ~ca(i2003_11_14_17_19_28752)|spl0_8),
% 0.15/0.37 inference(component_clause,[status(thm)],[f113])).
% 0.15/0.37 fof(f116,plain,(
% 0.15/0.37 ![X0,X1]: (~cc(X0)|~rinvR(X0,X1)|~rinvP(X1,sk0_0(i2003_11_14_17_19_28752))|~ca(i2003_11_14_17_19_28752))),
% 0.15/0.38 inference(resolution,[status(thm)],[f37,f67])).
% 0.15/0.38 fof(f117,plain,(
% 0.15/0.38 spl0_7|~spl0_8),
% 0.15/0.38 inference(split_clause,[status(thm)],[f116,f110,f113])).
% 0.15/0.38 fof(f120,plain,(
% 0.15/0.38 $false|spl0_8),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f115,f58])).
% 0.15/0.38 fof(f121,plain,(
% 0.15/0.38 spl0_8),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f120])).
% 0.15/0.38 fof(f124,plain,(
% 0.15/0.38 cc(sk0_2(sk0_1(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752))|~spl0_2|~spl0_4),
% 0.15/0.38 inference(resolution,[status(thm)],[f85,f97])).
% 0.15/0.38 fof(f125,plain,(
% 0.15/0.38 rinvR(sk0_2(sk0_1(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752),sk0_1(i2003_11_14_17_19_28752))|~spl0_2),
% 0.15/0.38 inference(resolution,[status(thm)],[f85,f49])).
% 0.15/0.38 fof(f128,plain,(
% 0.15/0.38 ~cc(sk0_2(sk0_1(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752))|~spl0_2|~spl0_5),
% 0.15/0.38 inference(resolution,[status(thm)],[f125,f102])).
% 0.15/0.38 fof(f129,plain,(
% 0.15/0.38 $false|~spl0_4|~spl0_2|~spl0_5),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f128,f124])).
% 0.15/0.38 fof(f130,plain,(
% 0.15/0.38 ~spl0_4|~spl0_2|~spl0_5),
% 0.15/0.38 inference(contradiction_clause,[status(thm)],[f129])).
% 0.15/0.38 fof(f132,plain,(
% 0.15/0.38 ![X0]: (~cc(X0)|~rinvR(X0,sk0_1(i2003_11_14_17_19_28752))|~spl0_7)),
% 0.15/0.38 inference(resolution,[status(thm)],[f111,f69])).
% 0.15/0.38 fof(f133,plain,(
% 0.15/0.38 spl0_5|~spl0_7),
% 0.15/0.38 inference(split_clause,[status(thm)],[f132,f101,f110])).
% 0.15/0.38 fof(f134,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(sat_refutation,[status(thm)],[f83,f88,f100,f117,f121,f130,f133])).
% 0.15/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.40 % Elapsed time: 0.020881 seconds
% 0.22/0.40 % CPU time: 0.038890 seconds
% 0.22/0.40 % Total memory used: 786.288 KB
% 0.22/0.40 % Net memory used: 763.264 KB
%------------------------------------------------------------------------------