TSTP Solution File: KRS108+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS108+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:24:47 EDT 2024
% Result : Unsatisfiable 0.15s 0.31s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : KRS108+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 23:19:20 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.31 % Refutation found
% 0.15/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.31 fof(f42,axiom,(
% 0.15/0.31 (! [X] :( cUnsatisfiable(X)<=> ( (? [Y] :( rinvR(X,Y)& ca_Ax14(Y) ))& cp2(X) ) ) )),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f43,axiom,(
% 0.15/0.31 (! [X] :( cp1(X)=> ca_Cx1(X) ) )),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f44,axiom,(
% 0.15/0.31 (! [X] :( cp2(X)<=> (? [Y0] : ra_Px5(X,Y0) )) )),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f46,axiom,(
% 0.15/0.31 (! [X] :( cp2xcomp(X)<=> ~ (? [Y] : ra_Px5(X,Y) )) )),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f55,axiom,(
% 0.15/0.31 (! [X] :( ca_Ax14(X)<=> ( (? [Y] :( rr(X,Y)& cp1(Y) ))& (! [Y0,Y1] :( ( rr(X,Y0)& rr(X,Y1) )=> Y0 = Y1 ) )) ) )),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f56,axiom,(
% 0.15/0.31 (! [X] :( ca_Cx1(X)<=> ( cp2xcomp(X)& cp5xcomp(X)& cp3xcomp(X)& cp4xcomp(X) ) ) )),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f65,axiom,(
% 0.15/0.31 (! [X,Y] :( rinvR(X,Y)<=> rr(Y,X) ) )),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f66,axiom,(
% 0.15/0.31 cUnsatisfiable(i2003_11_14_17_21_04740) ),
% 0.15/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.31 fof(f191,plain,(
% 0.15/0.31 ![X]: ((~cUnsatisfiable(X)|((?[Y]: (rinvR(X,Y)&ca_Ax14(Y)))&cp2(X)))&(cUnsatisfiable(X)|((![Y]: (~rinvR(X,Y)|~ca_Ax14(Y)))|~cp2(X))))),
% 0.15/0.31 inference(NNF_transformation,[status(esa)],[f42])).
% 0.15/0.31 fof(f192,plain,(
% 0.15/0.31 (![X]: (~cUnsatisfiable(X)|((?[Y]: (rinvR(X,Y)&ca_Ax14(Y)))&cp2(X))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rinvR(X,Y)|~ca_Ax14(Y)))|~cp2(X))))),
% 0.15/0.31 inference(miniscoping,[status(esa)],[f191])).
% 0.15/0.31 fof(f193,plain,(
% 0.15/0.31 (![X]: (~cUnsatisfiable(X)|((rinvR(X,sk0_0(X))&ca_Ax14(sk0_0(X)))&cp2(X))))&(![X]: (cUnsatisfiable(X)|((![Y]: (~rinvR(X,Y)|~ca_Ax14(Y)))|~cp2(X))))),
% 0.15/0.31 inference(skolemization,[status(esa)],[f192])).
% 0.15/0.31 fof(f194,plain,(
% 0.15/0.31 ![X0]: (~cUnsatisfiable(X0)|rinvR(X0,sk0_0(X0)))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.31 fof(f195,plain,(
% 0.15/0.31 ![X0]: (~cUnsatisfiable(X0)|ca_Ax14(sk0_0(X0)))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.31 fof(f196,plain,(
% 0.15/0.31 ![X0]: (~cUnsatisfiable(X0)|cp2(X0))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f193])).
% 0.15/0.31 fof(f198,plain,(
% 0.15/0.31 ![X]: (~cp1(X)|ca_Cx1(X))),
% 0.15/0.31 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.15/0.31 fof(f199,plain,(
% 0.15/0.31 ![X0]: (~cp1(X0)|ca_Cx1(X0))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f198])).
% 0.15/0.31 fof(f200,plain,(
% 0.15/0.31 ![X]: ((~cp2(X)|(?[Y0]: ra_Px5(X,Y0)))&(cp2(X)|(![Y0]: ~ra_Px5(X,Y0))))),
% 0.15/0.31 inference(NNF_transformation,[status(esa)],[f44])).
% 0.15/0.31 fof(f201,plain,(
% 0.15/0.31 (![X]: (~cp2(X)|(?[Y0]: ra_Px5(X,Y0))))&(![X]: (cp2(X)|(![Y0]: ~ra_Px5(X,Y0))))),
% 0.15/0.31 inference(miniscoping,[status(esa)],[f200])).
% 0.15/0.31 fof(f202,plain,(
% 0.15/0.31 (![X]: (~cp2(X)|ra_Px5(X,sk0_1(X))))&(![X]: (cp2(X)|(![Y0]: ~ra_Px5(X,Y0))))),
% 0.15/0.31 inference(skolemization,[status(esa)],[f201])).
% 0.15/0.31 fof(f203,plain,(
% 0.15/0.31 ![X0]: (~cp2(X0)|ra_Px5(X0,sk0_1(X0)))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f202])).
% 0.15/0.31 fof(f207,plain,(
% 0.15/0.31 ![X]: (cp2xcomp(X)<=>(![Y]: ~ra_Px5(X,Y)))),
% 0.15/0.31 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 0.15/0.31 fof(f208,plain,(
% 0.15/0.31 ![X]: ((~cp2xcomp(X)|(![Y]: ~ra_Px5(X,Y)))&(cp2xcomp(X)|(?[Y]: ra_Px5(X,Y))))),
% 0.15/0.31 inference(NNF_transformation,[status(esa)],[f207])).
% 0.15/0.31 fof(f209,plain,(
% 0.15/0.31 (![X]: (~cp2xcomp(X)|(![Y]: ~ra_Px5(X,Y))))&(![X]: (cp2xcomp(X)|(?[Y]: ra_Px5(X,Y))))),
% 0.15/0.31 inference(miniscoping,[status(esa)],[f208])).
% 0.15/0.31 fof(f210,plain,(
% 0.15/0.31 (![X]: (~cp2xcomp(X)|(![Y]: ~ra_Px5(X,Y))))&(![X]: (cp2xcomp(X)|ra_Px5(X,sk0_2(X))))),
% 0.15/0.31 inference(skolemization,[status(esa)],[f209])).
% 0.15/0.31 fof(f211,plain,(
% 0.15/0.31 ![X0,X1]: (~cp2xcomp(X0)|~ra_Px5(X0,X1))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f210])).
% 0.15/0.31 fof(f250,plain,(
% 0.15/0.31 ![X]: (ca_Ax14(X)<=>((?[Y]: (rr(X,Y)&cp1(Y)))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))))),
% 0.15/0.31 inference(pre_NNF_transformation,[status(esa)],[f55])).
% 0.15/0.31 fof(f251,plain,(
% 0.15/0.31 ![X]: ((~ca_Ax14(X)|((?[Y]: (rr(X,Y)&cp1(Y)))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1))))&(ca_Ax14(X)|((![Y]: (~rr(X,Y)|~cp1(Y)))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))))),
% 0.15/0.31 inference(NNF_transformation,[status(esa)],[f250])).
% 0.15/0.31 fof(f252,plain,(
% 0.15/0.31 (![X]: (~ca_Ax14(X)|((?[Y]: (rr(X,Y)&cp1(Y)))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))))&(![X]: (ca_Ax14(X)|((![Y]: (~rr(X,Y)|~cp1(Y)))|(?[Y0,Y1]: ((rr(X,Y0)&rr(X,Y1))&~Y0=Y1)))))),
% 0.15/0.31 inference(miniscoping,[status(esa)],[f251])).
% 0.15/0.31 fof(f253,plain,(
% 0.15/0.31 (![X]: (~ca_Ax14(X)|((rr(X,sk0_9(X))&cp1(sk0_9(X)))&(![Y0,Y1]: ((~rr(X,Y0)|~rr(X,Y1))|Y0=Y1)))))&(![X]: (ca_Ax14(X)|((![Y]: (~rr(X,Y)|~cp1(Y)))|((rr(X,sk0_10(X))&rr(X,sk0_11(X)))&~sk0_10(X)=sk0_11(X)))))),
% 0.15/0.31 inference(skolemization,[status(esa)],[f252])).
% 0.15/0.31 fof(f254,plain,(
% 0.15/0.31 ![X0]: (~ca_Ax14(X0)|rr(X0,sk0_9(X0)))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f253])).
% 0.15/0.31 fof(f255,plain,(
% 0.15/0.31 ![X0]: (~ca_Ax14(X0)|cp1(sk0_9(X0)))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f253])).
% 0.15/0.31 fof(f256,plain,(
% 0.15/0.31 ![X0,X1,X2]: (~ca_Ax14(X0)|~rr(X0,X1)|~rr(X0,X2)|X1=X2)),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f253])).
% 0.15/0.31 fof(f260,plain,(
% 0.15/0.31 ![X]: ((~ca_Cx1(X)|(((cp2xcomp(X)&cp5xcomp(X))&cp3xcomp(X))&cp4xcomp(X)))&(ca_Cx1(X)|(((~cp2xcomp(X)|~cp5xcomp(X))|~cp3xcomp(X))|~cp4xcomp(X))))),
% 0.15/0.31 inference(NNF_transformation,[status(esa)],[f56])).
% 0.15/0.31 fof(f261,plain,(
% 0.15/0.31 (![X]: (~ca_Cx1(X)|(((cp2xcomp(X)&cp5xcomp(X))&cp3xcomp(X))&cp4xcomp(X))))&(![X]: (ca_Cx1(X)|(((~cp2xcomp(X)|~cp5xcomp(X))|~cp3xcomp(X))|~cp4xcomp(X))))),
% 0.15/0.31 inference(miniscoping,[status(esa)],[f260])).
% 0.15/0.31 fof(f262,plain,(
% 0.15/0.31 ![X0]: (~ca_Cx1(X0)|cp2xcomp(X0))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f261])).
% 0.15/0.31 fof(f311,plain,(
% 0.15/0.31 ![X,Y]: ((~rinvR(X,Y)|rr(Y,X))&(rinvR(X,Y)|~rr(Y,X)))),
% 0.15/0.31 inference(NNF_transformation,[status(esa)],[f65])).
% 0.15/0.31 fof(f312,plain,(
% 0.15/0.31 (![X,Y]: (~rinvR(X,Y)|rr(Y,X)))&(![X,Y]: (rinvR(X,Y)|~rr(Y,X)))),
% 0.15/0.31 inference(miniscoping,[status(esa)],[f311])).
% 0.15/0.31 fof(f313,plain,(
% 0.15/0.31 ![X0,X1]: (~rinvR(X0,X1)|rr(X1,X0))),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f312])).
% 0.15/0.31 fof(f315,plain,(
% 0.15/0.31 cUnsatisfiable(i2003_11_14_17_21_04740)),
% 0.15/0.31 inference(cnf_transformation,[status(esa)],[f66])).
% 0.15/0.31 fof(f316,plain,(
% 0.15/0.31 cp2(i2003_11_14_17_21_04740)),
% 0.15/0.31 inference(resolution,[status(thm)],[f196,f315])).
% 0.15/0.31 fof(f317,plain,(
% 0.15/0.31 rinvR(i2003_11_14_17_21_04740,sk0_0(i2003_11_14_17_21_04740))),
% 0.15/0.31 inference(resolution,[status(thm)],[f194,f315])).
% 0.15/0.31 fof(f322,plain,(
% 0.15/0.31 ca_Ax14(sk0_0(i2003_11_14_17_21_04740))),
% 0.15/0.31 inference(resolution,[status(thm)],[f195,f315])).
% 0.15/0.31 fof(f323,plain,(
% 0.15/0.31 ra_Px5(i2003_11_14_17_21_04740,sk0_1(i2003_11_14_17_21_04740))),
% 0.15/0.31 inference(resolution,[status(thm)],[f203,f316])).
% 0.15/0.31 fof(f331,plain,(
% 0.15/0.31 cp1(sk0_9(sk0_0(i2003_11_14_17_21_04740)))),
% 0.15/0.31 inference(resolution,[status(thm)],[f255,f322])).
% 0.15/0.31 fof(f332,plain,(
% 0.15/0.31 rr(sk0_0(i2003_11_14_17_21_04740),i2003_11_14_17_21_04740)),
% 0.15/0.31 inference(resolution,[status(thm)],[f317,f313])).
% 0.15/0.31 fof(f336,plain,(
% 0.15/0.31 spl0_1 <=> ca_Ax14(sk0_0(i2003_11_14_17_21_04740))),
% 0.15/0.31 introduced(split_symbol_definition)).
% 0.15/0.31 fof(f338,plain,(
% 0.15/0.31 ~ca_Ax14(sk0_0(i2003_11_14_17_21_04740))|spl0_1),
% 0.15/0.31 inference(component_clause,[status(thm)],[f336])).
% 0.15/0.31 fof(f346,plain,(
% 0.15/0.31 $false|spl0_1),
% 0.15/0.31 inference(forward_subsumption_resolution,[status(thm)],[f338,f322])).
% 0.15/0.31 fof(f347,plain,(
% 0.15/0.31 spl0_1),
% 0.15/0.31 inference(contradiction_clause,[status(thm)],[f346])).
% 0.15/0.31 fof(f350,plain,(
% 0.15/0.31 rr(sk0_0(i2003_11_14_17_21_04740),sk0_9(sk0_0(i2003_11_14_17_21_04740)))),
% 0.15/0.31 inference(resolution,[status(thm)],[f254,f322])).
% 0.15/0.31 fof(f351,plain,(
% 0.15/0.31 ~cp2xcomp(i2003_11_14_17_21_04740)),
% 0.15/0.31 inference(resolution,[status(thm)],[f323,f211])).
% 0.15/0.31 fof(f353,plain,(
% 0.15/0.31 ca_Cx1(sk0_9(sk0_0(i2003_11_14_17_21_04740)))),
% 0.15/0.31 inference(resolution,[status(thm)],[f331,f199])).
% 0.15/0.31 fof(f370,plain,(
% 0.15/0.31 spl0_6 <=> ~rr(sk0_0(i2003_11_14_17_21_04740),X0)|i2003_11_14_17_21_04740=X0),
% 0.15/0.31 introduced(split_symbol_definition)).
% 0.15/0.31 fof(f371,plain,(
% 0.15/0.31 ![X0]: (~rr(sk0_0(i2003_11_14_17_21_04740),X0)|i2003_11_14_17_21_04740=X0|~spl0_6)),
% 0.15/0.31 inference(component_clause,[status(thm)],[f370])).
% 0.15/0.31 fof(f373,plain,(
% 0.15/0.31 ![X0]: (~ca_Ax14(sk0_0(i2003_11_14_17_21_04740))|~rr(sk0_0(i2003_11_14_17_21_04740),X0)|i2003_11_14_17_21_04740=X0)),
% 0.15/0.31 inference(resolution,[status(thm)],[f256,f332])).
% 0.15/0.31 fof(f374,plain,(
% 0.15/0.31 ~spl0_1|spl0_6),
% 0.15/0.31 inference(split_clause,[status(thm)],[f373,f336,f370])).
% 0.15/0.31 fof(f385,plain,(
% 0.15/0.31 cp2xcomp(sk0_9(sk0_0(i2003_11_14_17_21_04740)))),
% 0.15/0.31 inference(resolution,[status(thm)],[f353,f262])).
% 0.15/0.31 fof(f488,plain,(
% 0.15/0.31 i2003_11_14_17_21_04740=sk0_9(sk0_0(i2003_11_14_17_21_04740))|~spl0_6),
% 0.15/0.31 inference(resolution,[status(thm)],[f350,f371])).
% 0.15/0.31 fof(f541,plain,(
% 0.15/0.31 cp2xcomp(i2003_11_14_17_21_04740)|~spl0_6),
% 0.15/0.31 inference(backward_demodulation,[status(thm)],[f488,f385])).
% 0.15/0.31 fof(f542,plain,(
% 0.15/0.31 $false|~spl0_6),
% 0.15/0.31 inference(forward_subsumption_resolution,[status(thm)],[f541,f351])).
% 0.15/0.31 fof(f543,plain,(
% 0.15/0.31 ~spl0_6),
% 0.15/0.31 inference(contradiction_clause,[status(thm)],[f542])).
% 0.15/0.31 fof(f544,plain,(
% 0.15/0.31 $false),
% 0.15/0.31 inference(sat_refutation,[status(thm)],[f347,f374,f543])).
% 0.15/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.33 % Elapsed time: 0.012771 seconds
% 0.15/0.33 % CPU time: 0.035715 seconds
% 0.15/0.33 % Total memory used: 1.938 MB
% 0.15/0.33 % Net memory used: 1.835 MB
%------------------------------------------------------------------------------