TSTP Solution File: LCL686+1.001 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL686+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 : Wed May 31 12:20:13 EDT 2023
% Result : Theorem 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : LCL686+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n001.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:20:00 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.09/0.32 % Drodi V3.5.1
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.32 fof(f1,axiom,(
% 0.14/0.32 (! [X] : r1(X,X) )),
% 0.14/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f3,conjecture,(
% 0.14/0.32 ~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| ~ p3(Y)| (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ ( (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p2(Y)& ~ p1(Y) )| ( ~ p2(Y)& p1(Y) ) ) ))| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| (! [Y] :( ~ r1(X,Y)| ( ~ p1(Y)& ~ p2(Y) )| ( p2(Y)& p1(Y) ) ) )) ) )) )) )),
% 0.14/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f4,negated_conjecture,(
% 0.14/0.32 ~(~ (? [X] :~ ( (! [Y] :( ~ r1(X,Y)| ~ p3(Y)| (! [X] :( ~ r1(Y,X)| ~ p1(X) ) )))| (! [Y] :( ~ r1(X,Y)| ~ (! [X] :( ~ r1(Y,X)| ~ ( (! [Y] :( ~ r1(X,Y)| $false ))| ~ (! [Y] :( ~ r1(X,Y)| ~ ( ( p2(Y)& ~ p1(Y) )| ( ~ p2(Y)& p1(Y) ) ) ))| (! [Y] :( ~ r1(X,Y)| p3(Y) ))| (! [Y] :( ~ r1(X,Y)| ( ~ p1(Y)& ~ p2(Y) )| ( p2(Y)& p1(Y) ) ) )) ) )) )) ))),
% 0.14/0.32 inference(negated_conjecture,[status(cth)],[f3])).
% 0.14/0.32 fof(f5,plain,(
% 0.14/0.32 ![X0]: (r1(X0,X0))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.32 fof(f9,plain,(
% 0.14/0.32 ?[X]: ((?[Y]: ((r1(X,Y)&p3(Y))&(?[X]: (r1(Y,X)&p1(X)))))&(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|((((?[Y]: (r1(X,Y)&$true))&(![Y]: (~r1(X,Y)|((~p2(Y)|p1(Y))&(p2(Y)|~p1(Y))))))&(?[Y]: (r1(X,Y)&~p3(Y))))&(?[Y]: ((r1(X,Y)&(p1(Y)|p2(Y)))&(~p2(Y)|~p1(Y))))))))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.14/0.32 fof(f10,plain,(
% 0.14/0.32 ?[X]: ((?[Y]: ((r1(X,Y)&p3(Y))&(?[X]: (r1(Y,X)&p1(X)))))&(?[Y]: (r1(X,Y)&(![X]: (~r1(Y,X)|(((((?[Y]: r1(X,Y))&$true)&(![Y]: (~r1(X,Y)|((~p2(Y)|p1(Y))&(p2(Y)|~p1(Y))))))&(?[Y]: (r1(X,Y)&~p3(Y))))&(?[Y]: ((r1(X,Y)&(p1(Y)|p2(Y)))&(~p2(Y)|~p1(Y))))))))))),
% 0.14/0.32 inference(miniscoping,[status(esa)],[f9])).
% 0.14/0.32 fof(f11,plain,(
% 0.14/0.32 (((r1(sk0_0,sk0_1)&p3(sk0_1))&(r1(sk0_1,sk0_2)&p1(sk0_2)))&(r1(sk0_0,sk0_3)&(![X]: (~r1(sk0_3,X)|((((r1(X,sk0_4(X))&$true)&(![Y]: (~r1(X,Y)|((~p2(Y)|p1(Y))&(p2(Y)|~p1(Y))))))&(r1(X,sk0_5(X))&~p3(sk0_5(X))))&((r1(X,sk0_6(X))&(p1(sk0_6(X))|p2(sk0_6(X))))&(~p2(sk0_6(X))|~p1(sk0_6(X)))))))))),
% 0.14/0.32 inference(skolemization,[status(esa)],[f10])).
% 0.14/0.32 fof(f12,plain,(
% 0.14/0.32 ?[X]: ((?[Y]: ((r1(sk0_0,sk0_1)&p3(sk0_1))&(?[X]: (r1(sk0_1,sk0_2)&p1(sk0_2)))))&(?[Y]: (r1(sk0_0,sk0_3)&(![X]: (~r1(sk0_3,X)|((((?[Y]: r1(X,sk0_4(X)))&(![Y]: (~r1(X,Y)|((~p2(Y)|p1(Y))&(p2(Y)|~p1(Y))))))&(?[Y]: (r1(X,sk0_5(X))&~p3(sk0_5(X)))))&(?[Y]: ((r1(X,sk0_6(X))&(p1(sk0_6(X))|p2(sk0_6(X))))&(~p2(sk0_6(X))|~p1(sk0_6(X)))))))))))),
% 0.14/0.32 inference($true_and_$false_simplification,[status(esa)],[f11])).
% 0.14/0.32 fof(f18,plain,(
% 0.14/0.32 ![X0]: (~r1(sk0_3,X0)|r1(X0,sk0_4(X0)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.32 fof(f19,plain,(
% 0.14/0.32 ![X0,X1]: (~r1(sk0_3,X0)|~r1(X0,X1)|~p2(X1)|p1(X1))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.32 fof(f20,plain,(
% 0.14/0.32 ![X0,X1]: (~r1(sk0_3,X0)|~r1(X0,X1)|p2(X1)|~p1(X1))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.32 fof(f23,plain,(
% 0.14/0.32 ![X0]: (~r1(sk0_3,X0)|r1(X0,sk0_6(X0)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.32 fof(f24,plain,(
% 0.14/0.32 ![X0]: (~r1(sk0_3,X0)|p1(sk0_6(X0))|p2(sk0_6(X0)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.32 fof(f25,plain,(
% 0.14/0.32 ![X0]: (~r1(sk0_3,X0)|~p2(sk0_6(X0))|~p1(sk0_6(X0)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.32 fof(f26,plain,(
% 0.14/0.32 r1(sk0_3,sk0_4(sk0_3))),
% 0.14/0.32 inference(resolution,[status(thm)],[f5,f18])).
% 0.14/0.32 fof(f44,plain,(
% 0.14/0.32 ![X0,X1]: (~r1(sk0_3,X0)|~p1(sk0_6(X0))|~r1(sk0_3,X1)|~r1(X1,sk0_6(X0))|~p1(sk0_6(X0)))),
% 0.14/0.32 inference(resolution,[status(thm)],[f25,f20])).
% 0.14/0.32 fof(f45,plain,(
% 0.14/0.32 ![X0,X1]: (~r1(sk0_3,X0)|~p1(sk0_6(X0))|~r1(sk0_3,X1)|~r1(X1,sk0_6(X0)))),
% 0.14/0.32 inference(duplicate_literals_removal,[status(esa)],[f44])).
% 0.14/0.32 fof(f54,plain,(
% 0.14/0.32 ![X0,X1]: (~r1(sk0_3,X0)|~r1(sk0_3,X1)|~r1(X1,sk0_6(X0))|~r1(sk0_3,X0)|p2(sk0_6(X0)))),
% 0.14/0.32 inference(resolution,[status(thm)],[f45,f24])).
% 0.14/0.32 fof(f55,plain,(
% 0.14/0.32 ![X0,X1]: (~r1(sk0_3,X0)|~r1(sk0_3,X1)|~r1(X1,sk0_6(X0))|p2(sk0_6(X0)))),
% 0.14/0.32 inference(duplicate_literals_removal,[status(esa)],[f54])).
% 0.14/0.32 fof(f58,plain,(
% 0.14/0.32 ![X0,X1,X2]: (~r1(sk0_3,X0)|~r1(sk0_3,X1)|~r1(X1,sk0_6(X0))|~r1(sk0_3,X2)|~r1(X2,sk0_6(X0))|p1(sk0_6(X0)))),
% 0.14/0.32 inference(resolution,[status(thm)],[f55,f19])).
% 0.14/0.32 fof(f59,plain,(
% 0.14/0.32 ![X0,X1,X2]: (~r1(sk0_3,X0)|~r1(sk0_3,X1)|~r1(X1,sk0_6(X0))|~r1(sk0_3,X2)|~r1(X2,sk0_6(X0)))),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f58,f45])).
% 0.14/0.32 fof(f60,plain,(
% 0.14/0.32 ![X0,X1]: (~r1(sk0_3,X0)|~r1(sk0_3,X1)|~r1(X1,sk0_6(X0))|~r1(sk0_3,X0)|~r1(sk0_3,X0))),
% 0.14/0.32 inference(resolution,[status(thm)],[f59,f23])).
% 0.14/0.32 fof(f61,plain,(
% 0.14/0.32 ![X0,X1]: (~r1(sk0_3,X0)|~r1(sk0_3,X1)|~r1(X1,sk0_6(X0)))),
% 0.14/0.32 inference(duplicate_literals_removal,[status(esa)],[f60])).
% 0.14/0.32 fof(f64,plain,(
% 0.14/0.32 ![X0]: (~r1(sk0_3,X0)|~r1(sk0_3,X0)|~r1(sk0_3,X0))),
% 0.14/0.32 inference(resolution,[status(thm)],[f61,f23])).
% 0.14/0.32 fof(f65,plain,(
% 0.14/0.32 ![X0]: (~r1(sk0_3,X0))),
% 0.14/0.32 inference(duplicate_literals_removal,[status(esa)],[f64])).
% 0.14/0.32 fof(f66,plain,(
% 0.14/0.32 $false),
% 0.14/0.32 inference(backward_subsumption_resolution,[status(thm)],[f26,f65])).
% 0.14/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.54 % Elapsed time: 0.008469 seconds
% 0.14/0.54 % CPU time: 0.009874 seconds
% 0.14/0.54 % Memory used: 507.895 KB
%------------------------------------------------------------------------------