TSTP Solution File: CSR100+6 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR100+6 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:15:08 EDT 2024
% Result : Theorem 89.23s 12.66s
% Output : CNFRefutation 92.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR100+6 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:34:12 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.38/1.59 % Drodi V3.6.0
% 89.23/12.66 % Refutation found
% 89.23/12.66 % SZS status Theorem for theBenchmark: Theorem is valid
% 89.23/12.66 % SZS output start CNFRefutation for theBenchmark
% 89.23/12.66 fof(f26457,axiom,(
% 89.23/12.66 (! [V__X,V__Y,V__Z] :( ( s__instance(V__Y,s__SetOrClass)& s__instance(V__X,s__SetOrClass) )=> ( ( s__subclass(V__X,V__Y)& s__instance(V__Z,V__X) )=> s__instance(V__Z,V__Y) ) ) )),
% 89.23/12.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 89.23/12.66 fof(f32412,axiom,(
% 89.23/12.66 (! [V__C2,V__U,V__C1] :( V__U = s__UnionFn(V__C1,V__C2)<=> (! [V__I1,V__I2,V__I3] :( ( s__instance(V__C1,s__SetOrClass)& s__instance(V__U,s__SetOrClass)& s__instance(V__C2,s__SetOrClass) )=> ( ( s__instance(V__I1,V__C1)& s__instance(V__I2,V__C2)& s__instance(V__I3,V__U) )=> ( s__instance(V__I1,V__U)& s__instance(V__I2,V__U)& ( s__instance(V__I3,V__C1)| s__instance(V__I3,V__C2) ) ) ) ) )) )),
% 89.23/12.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 89.23/12.66 fof(f55588,axiom,(
% 89.23/12.66 s__instance(s__Class31_2,s__Class) ),
% 89.23/12.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 89.23/12.66 fof(f55594,axiom,(
% 89.23/12.66 s__subclass(s__Class31_2,s__Class31_3) ),
% 89.23/12.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 89.23/12.66 fof(f55595,axiom,(
% 89.23/12.66 s__subclass(s__Class31_3,s__Class31_1) ),
% 89.23/12.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 89.23/12.66 fof(f55596,axiom,(
% 89.23/12.66 s__instance(s__Animal31,s__Class31_2) ),
% 89.23/12.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 89.23/12.66 fof(f55597,conjecture,(
% 89.23/12.66 s__instance(s__Animal31,s__Class31_1) ),
% 89.23/12.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 89.23/12.66 fof(f55598,negated_conjecture,(
% 89.23/12.66 ~(s__instance(s__Animal31,s__Class31_1) )),
% 89.23/12.66 inference(negated_conjecture,[status(cth)],[f55597])).
% 89.23/12.66 fof(f112199,plain,(
% 89.23/12.66 ![V__X,V__Y,V__Z]: ((~s__instance(V__Y,s__SetOrClass)|~s__instance(V__X,s__SetOrClass))|((~s__subclass(V__X,V__Y)|~s__instance(V__Z,V__X))|s__instance(V__Z,V__Y)))),
% 89.23/12.66 inference(pre_NNF_transformation,[status(esa)],[f26457])).
% 89.23/12.66 fof(f112200,plain,(
% 89.23/12.66 ![V__X,V__Y]: ((~s__instance(V__Y,s__SetOrClass)|~s__instance(V__X,s__SetOrClass))|(![V__Z]: ((~s__subclass(V__X,V__Y)|~s__instance(V__Z,V__X))|s__instance(V__Z,V__Y))))),
% 89.23/12.66 inference(miniscoping,[status(esa)],[f112199])).
% 89.23/12.66 fof(f112201,plain,(
% 89.23/12.66 ![X0,X1,X2]: (~s__instance(X0,s__SetOrClass)|~s__instance(X1,s__SetOrClass)|~s__subclass(X1,X0)|~s__instance(X2,X1)|s__instance(X2,X0))),
% 89.23/12.66 inference(cnf_transformation,[status(esa)],[f112200])).
% 89.23/12.66 fof(f123589,plain,(
% 89.23/12.66 ![V__C2,V__U,V__C1]: (V__U=s__UnionFn(V__C1,V__C2)<=>(![V__I1,V__I2,V__I3]: (((~s__instance(V__C1,s__SetOrClass)|~s__instance(V__U,s__SetOrClass))|~s__instance(V__C2,s__SetOrClass))|(((~s__instance(V__I1,V__C1)|~s__instance(V__I2,V__C2))|~s__instance(V__I3,V__U))|((s__instance(V__I1,V__U)&s__instance(V__I2,V__U))&(s__instance(V__I3,V__C1)|s__instance(V__I3,V__C2)))))))),
% 89.23/12.66 inference(pre_NNF_transformation,[status(esa)],[f32412])).
% 89.23/12.66 fof(f123590,plain,(
% 89.23/12.66 ![V__C2,V__U,V__C1]: ((~V__U=s__UnionFn(V__C1,V__C2)|(![V__I1,V__I2,V__I3]: (((~s__instance(V__C1,s__SetOrClass)|~s__instance(V__U,s__SetOrClass))|~s__instance(V__C2,s__SetOrClass))|(((~s__instance(V__I1,V__C1)|~s__instance(V__I2,V__C2))|~s__instance(V__I3,V__U))|((s__instance(V__I1,V__U)&s__instance(V__I2,V__U))&(s__instance(V__I3,V__C1)|s__instance(V__I3,V__C2)))))))&(V__U=s__UnionFn(V__C1,V__C2)|(?[V__I1,V__I2,V__I3]: (((s__instance(V__C1,s__SetOrClass)&s__instance(V__U,s__SetOrClass))&s__instance(V__C2,s__SetOrClass))&(((s__instance(V__I1,V__C1)&s__instance(V__I2,V__C2))&s__instance(V__I3,V__U))&((~s__instance(V__I1,V__U)|~s__instance(V__I2,V__U))|(~s__instance(V__I3,V__C1)&~s__instance(V__I3,V__C2))))))))),
% 89.23/12.66 inference(NNF_transformation,[status(esa)],[f123589])).
% 89.23/12.66 fof(f123591,plain,(
% 89.23/12.66 (![V__C2,V__U,V__C1]: (~V__U=s__UnionFn(V__C1,V__C2)|(((~s__instance(V__C1,s__SetOrClass)|~s__instance(V__U,s__SetOrClass))|~s__instance(V__C2,s__SetOrClass))|(![V__I1,V__I2,V__I3]: (((~s__instance(V__I1,V__C1)|~s__instance(V__I2,V__C2))|~s__instance(V__I3,V__U))|((s__instance(V__I1,V__U)&s__instance(V__I2,V__U))&(s__instance(V__I3,V__C1)|s__instance(V__I3,V__C2))))))))&(![V__C2,V__U,V__C1]: (V__U=s__UnionFn(V__C1,V__C2)|(((s__instance(V__C1,s__SetOrClass)&s__instance(V__U,s__SetOrClass))&s__instance(V__C2,s__SetOrClass))&(?[V__I1,V__I2,V__I3]: (((s__instance(V__I1,V__C1)&s__instance(V__I2,V__C2))&s__instance(V__I3,V__U))&((~s__instance(V__I1,V__U)|~s__instance(V__I2,V__U))|(~s__instance(V__I3,V__C1)&~s__instance(V__I3,V__C2))))))))),
% 89.23/12.67 inference(miniscoping,[status(esa)],[f123590])).
% 89.23/12.67 fof(f123592,plain,(
% 89.23/12.67 (![V__C2,V__U,V__C1]: (~V__U=s__UnionFn(V__C1,V__C2)|(((~s__instance(V__C1,s__SetOrClass)|~s__instance(V__U,s__SetOrClass))|~s__instance(V__C2,s__SetOrClass))|(![V__I1,V__I2,V__I3]: (((~s__instance(V__I1,V__C1)|~s__instance(V__I2,V__C2))|~s__instance(V__I3,V__U))|((s__instance(V__I1,V__U)&s__instance(V__I2,V__U))&(s__instance(V__I3,V__C1)|s__instance(V__I3,V__C2))))))))&(![V__C2,V__U,V__C1]: (V__U=s__UnionFn(V__C1,V__C2)|(((s__instance(V__C1,s__SetOrClass)&s__instance(V__U,s__SetOrClass))&s__instance(V__C2,s__SetOrClass))&(((s__instance(sk0_4526(V__C1,V__U,V__C2),V__C1)&s__instance(sk0_4527(V__C1,V__U,V__C2),V__C2))&s__instance(sk0_4528(V__C1,V__U,V__C2),V__U))&((~s__instance(sk0_4526(V__C1,V__U,V__C2),V__U)|~s__instance(sk0_4527(V__C1,V__U,V__C2),V__U))|(~s__instance(sk0_4528(V__C1,V__U,V__C2),V__C1)&~s__instance(sk0_4528(V__C1,V__U,V__C2),V__C2)))))))),
% 89.23/12.67 inference(skolemization,[status(esa)],[f123591])).
% 89.23/12.67 fof(f123596,plain,(
% 89.23/12.67 ![X0,X1,X2]: (X0=s__UnionFn(X1,X2)|s__instance(X1,s__SetOrClass))),
% 89.23/12.67 inference(cnf_transformation,[status(esa)],[f123592])).
% 89.23/12.67 fof(f156910,plain,(
% 89.23/12.67 s__instance(s__Class31_2,s__Class)),
% 89.23/12.67 inference(cnf_transformation,[status(esa)],[f55588])).
% 89.23/12.67 fof(f156916,plain,(
% 89.23/12.67 s__subclass(s__Class31_2,s__Class31_3)),
% 89.23/12.67 inference(cnf_transformation,[status(esa)],[f55594])).
% 89.23/12.67 fof(f156917,plain,(
% 89.23/12.67 s__subclass(s__Class31_3,s__Class31_1)),
% 89.23/12.67 inference(cnf_transformation,[status(esa)],[f55595])).
% 89.23/12.67 fof(f156918,plain,(
% 89.23/12.67 s__instance(s__Animal31,s__Class31_2)),
% 89.23/12.67 inference(cnf_transformation,[status(esa)],[f55596])).
% 89.23/12.67 fof(f156919,plain,(
% 89.23/12.67 ~s__instance(s__Animal31,s__Class31_1)),
% 89.23/12.67 inference(cnf_transformation,[status(esa)],[f55598])).
% 89.23/12.67 fof(f159773,plain,(
% 89.23/12.67 spl0_716 <=> s__instance(X5,s__SetOrClass)),
% 89.23/12.67 introduced(split_symbol_definition)).
% 89.23/12.67 fof(f159774,plain,(
% 89.23/12.67 ![X0]: (s__instance(X0,s__SetOrClass)|~spl0_716)),
% 89.23/12.67 inference(component_clause,[status(thm)],[f159773])).
% 89.23/12.67 fof(f167769,plain,(
% 89.23/12.67 spl0_810 <=> X0=X1),
% 89.23/12.67 introduced(split_symbol_definition)).
% 89.23/12.67 fof(f167770,plain,(
% 89.23/12.67 ![X0,X1]: (X0=X1|~spl0_810)),
% 89.23/12.67 inference(component_clause,[status(thm)],[f167769])).
% 89.23/12.67 fof(f167772,plain,(
% 89.23/12.67 spl0_811 <=> s__instance(X2,s__SetOrClass)|s__instance(X2,s__SetOrClass)),
% 89.23/12.67 introduced(split_symbol_definition)).
% 89.23/12.67 fof(f167773,plain,(
% 89.23/12.67 ![X0]: (s__instance(X0,s__SetOrClass)|s__instance(X0,s__SetOrClass)|~spl0_811)),
% 89.23/12.67 inference(component_clause,[status(thm)],[f167772])).
% 89.23/12.67 fof(f167775,plain,(
% 89.23/12.67 ![X0,X1,X2]: (X0=X1|s__instance(X2,s__SetOrClass)|s__instance(X2,s__SetOrClass))),
% 89.23/12.67 inference(paramodulation,[status(thm)],[f123596,f123596])).
% 89.23/12.67 fof(f167776,plain,(
% 89.23/12.67 spl0_810|spl0_811),
% 89.23/12.67 inference(split_clause,[status(thm)],[f167775,f167769,f167772])).
% 89.23/12.67 fof(f167777,plain,(
% 89.23/12.67 ![X0]: (s__instance(X0,s__SetOrClass)|~spl0_811)),
% 89.23/12.67 inference(duplicate_literals_removal,[status(esa)],[f167773])).
% 89.23/12.67 fof(f167796,plain,(
% 89.23/12.67 spl0_716|~spl0_811),
% 89.23/12.67 inference(split_clause,[status(thm)],[f167777,f159773,f167772])).
% 89.23/12.67 fof(f167797,plain,(
% 89.23/12.67 ![X0]: (s__instance(X0,s__Class)|~spl0_810)),
% 89.23/12.67 inference(paramodulation,[status(thm)],[f167770,f156910])).
% 89.23/12.67 fof(f167801,plain,(
% 89.23/12.67 ![X0,X1]: (s__instance(X0,X1)|~spl0_810)),
% 89.23/12.67 inference(paramodulation,[status(thm)],[f167770,f167797])).
% 89.23/12.67 fof(f167816,plain,(
% 89.23/12.67 $false|~spl0_810),
% 89.23/12.67 inference(forward_subsumption_resolution,[status(thm)],[f156919,f167801])).
% 89.23/12.67 fof(f167817,plain,(
% 89.23/12.67 ~spl0_810),
% 89.23/12.67 inference(contradiction_clause,[status(thm)],[f167816])).
% 89.23/12.67 fof(f168957,plain,(
% 89.23/12.67 ![X0,X1,X2]: (~s__instance(X0,s__SetOrClass)|~s__subclass(X0,X1)|~s__instance(X2,X0)|s__instance(X2,X1)|~spl0_716)),
% 89.23/12.67 inference(forward_subsumption_resolution,[status(thm)],[f112201,f159774])).
% 89.23/12.67 fof(f168968,plain,(
% 89.23/12.67 ![X0,X1,X2]: (~s__subclass(X0,X1)|~s__instance(X2,X0)|s__instance(X2,X1)|~spl0_716)),
% 89.23/12.67 inference(resolution,[status(thm)],[f168957,f159774])).
% 92.83/13.14 fof(f168974,plain,(
% 92.83/13.14 ![X0]: (~s__subclass(s__Class31_2,X0)|s__instance(s__Animal31,X0)|~spl0_716)),
% 92.83/13.14 inference(resolution,[status(thm)],[f168968,f156918])).
% 92.83/13.14 fof(f169010,plain,(
% 92.83/13.14 s__instance(s__Animal31,s__Class31_3)|~spl0_716),
% 92.83/13.14 inference(resolution,[status(thm)],[f168974,f156916])).
% 92.83/13.14 fof(f169341,plain,(
% 92.83/13.14 ![X0]: (~s__subclass(s__Class31_3,X0)|s__instance(s__Animal31,X0)|~spl0_716)),
% 92.83/13.14 inference(resolution,[status(thm)],[f169010,f168968])).
% 92.83/13.14 fof(f169405,plain,(
% 92.83/13.14 s__instance(s__Animal31,s__Class31_1)|~spl0_716),
% 92.83/13.14 inference(resolution,[status(thm)],[f169341,f156917])).
% 92.83/13.14 fof(f169406,plain,(
% 92.83/13.14 $false|~spl0_716),
% 92.83/13.14 inference(forward_subsumption_resolution,[status(thm)],[f169405,f156919])).
% 92.83/13.14 fof(f169407,plain,(
% 92.83/13.14 ~spl0_716),
% 92.83/13.14 inference(contradiction_clause,[status(thm)],[f169406])).
% 92.83/13.14 fof(f169408,plain,(
% 92.83/13.14 $false),
% 92.83/13.14 inference(sat_refutation,[status(thm)],[f167776,f167796,f167817,f169407])).
% 92.83/13.14 % SZS output end CNFRefutation for theBenchmark.p
% 93.80/13.38 % Elapsed time: 12.973459 seconds
% 93.80/13.38 % CPU time: 90.793155 seconds
% 93.80/13.38 % Total memory used: 4.036 GB
% 93.80/13.38 % Net memory used: 4.012 GB
%------------------------------------------------------------------------------