TSTP Solution File: BOO109+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : BOO109+1 : TPTP v8.1.2. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:13:15 EDT 2024
% Result : Theorem 13.39s 2.05s
% Output : CNFRefutation 13.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : BOO109+1 : TPTP v8.1.2. Released v3.5.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 22:31:56 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 13.39/2.05 % Refutation found
% 13.39/2.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.39/2.05 % SZS output start CNFRefutation for theBenchmark
% 13.39/2.05 fof(f1,axiom,(
% 13.39/2.05 (! [A,B,C,D] : p(nand(nand(A,nand(B,C)),nand(nand(nand(D,C),nand(nand(A,D),nand(A,D))),nand(A,nand(A,B))))) )),
% 13.39/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.39/2.05 fof(f2,axiom,(
% 13.39/2.05 (! [P,Q,R] :( ( p(nand(P,nand(Q,R)))& p(P) )=> p(R) ) )),
% 13.39/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.39/2.05 fof(f3,conjecture,(
% 13.39/2.05 (! [A,B] : p(nand(nand(A,nand(B,B)),nand(nand(nand(B,B),nand(nand(A,A),nand(A,A))),nand(nand(B,B),nand(nand(A,A),nand(A,A)))))) )),
% 13.39/2.05 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 13.39/2.05 fof(f4,negated_conjecture,(
% 13.39/2.05 ~((! [A,B] : p(nand(nand(A,nand(B,B)),nand(nand(nand(B,B),nand(nand(A,A),nand(A,A))),nand(nand(B,B),nand(nand(A,A),nand(A,A)))))) ))),
% 13.39/2.05 inference(negated_conjecture,[status(cth)],[f3])).
% 13.39/2.05 fof(f5,plain,(
% 13.39/2.05 ![X0,X1,X2,X3]: (p(nand(nand(X0,nand(X1,X2)),nand(nand(nand(X3,X2),nand(nand(X0,X3),nand(X0,X3))),nand(X0,nand(X0,X1))))))),
% 13.39/2.05 inference(cnf_transformation,[status(esa)],[f1])).
% 13.39/2.05 fof(f6,plain,(
% 13.39/2.05 ![P,Q,R]: ((~p(nand(P,nand(Q,R)))|~p(P))|p(R))),
% 13.39/2.05 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 13.39/2.05 fof(f7,plain,(
% 13.39/2.05 ![R]: ((![P]: ((![Q]: ~p(nand(P,nand(Q,R))))|~p(P)))|p(R))),
% 13.39/2.05 inference(miniscoping,[status(esa)],[f6])).
% 13.39/2.05 fof(f8,plain,(
% 13.39/2.05 ![X0,X1,X2]: (~p(nand(X0,nand(X1,X2)))|~p(X0)|p(X2))),
% 13.39/2.05 inference(cnf_transformation,[status(esa)],[f7])).
% 13.39/2.05 fof(f9,plain,(
% 13.39/2.05 (?[A,B]: ~p(nand(nand(A,nand(B,B)),nand(nand(nand(B,B),nand(nand(A,A),nand(A,A))),nand(nand(B,B),nand(nand(A,A),nand(A,A)))))))),
% 13.39/2.05 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 13.39/2.05 fof(f10,plain,(
% 13.39/2.05 ~p(nand(nand(sk0_0,nand(sk0_1,sk0_1)),nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))))))),
% 13.39/2.05 inference(skolemization,[status(esa)],[f9])).
% 13.39/2.05 fof(f11,plain,(
% 13.39/2.05 ~p(nand(nand(sk0_0,nand(sk0_1,sk0_1)),nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))))))),
% 13.39/2.05 inference(cnf_transformation,[status(esa)],[f10])).
% 13.39/2.05 fof(f12,plain,(
% 13.39/2.05 ![X0,X1,X2]: (~p(nand(X0,nand(X1,X2)))|p(nand(X0,nand(X0,X1))))),
% 13.39/2.05 inference(resolution,[status(thm)],[f5,f8])).
% 13.39/2.05 fof(f13,plain,(
% 13.39/2.05 ![X0,X1,X2]: (~p(nand(X0,nand(X1,X2)))|~p(X0)|p(X1))),
% 13.39/2.05 inference(resolution,[status(thm)],[f12,f8])).
% 13.39/2.05 fof(f14,plain,(
% 13.39/2.05 ![X0,X1,X2,X3]: (~p(nand(X0,nand(X1,X2)))|p(nand(nand(X3,X2),nand(nand(X0,X3),nand(X0,X3)))))),
% 13.39/2.05 inference(resolution,[status(thm)],[f13,f5])).
% 13.39/2.05 fof(f15,plain,(
% 13.39/2.05 ![X0,X1,X2,X3]: (~p(nand(X0,nand(X1,X2)))|~p(nand(X3,X2))|p(nand(X0,X3)))),
% 13.39/2.05 inference(resolution,[status(thm)],[f14,f13])).
% 13.39/2.05 fof(f18,plain,(
% 13.39/2.05 ![X0,X1,X2,X3,X4,X5]: (~p(nand(X0,nand(X1,nand(nand(X2,X3),nand(X2,X3)))))|p(nand(X0,nand(X3,X4)))|~p(nand(X2,nand(X5,X4))))),
% 13.39/2.05 inference(resolution,[status(thm)],[f15,f14])).
% 13.39/2.05 fof(f19,plain,(
% 13.39/2.05 ![X0,X1,X2,X3,X4]: (~p(nand(X0,nand(X1,nand(X2,X3))))|p(nand(X0,X2))|~p(nand(X2,nand(X3,X4))))),
% 13.39/2.05 inference(resolution,[status(thm)],[f15,f12])).
% 13.39/2.06 fof(f22,plain,(
% 13.39/2.06 ![X0,X1,X2,X3,X4]: (~p(nand(X0,nand(X1,nand(X2,X2))))|p(nand(X0,X2))|~p(nand(X2,nand(X3,X4))))),
% 13.39/2.06 inference(resolution,[status(thm)],[f19,f12])).
% 13.39/2.06 fof(f23,plain,(
% 13.39/2.06 ![X0,X1,X2,X3,X4]: (p(nand(nand(X0,X1),X0))|~p(nand(X0,nand(X2,X3)))|~p(nand(X0,nand(X4,X1))))),
% 13.39/2.06 inference(resolution,[status(thm)],[f22,f14])).
% 13.39/2.06 fof(f24,plain,(
% 13.39/2.06 ![X0,X1,X2,X3,X4]: (p(nand(X0,X1))|~p(nand(X1,nand(X2,X3)))|~p(nand(X0,nand(nand(X1,X1),X4))))),
% 13.39/2.06 inference(resolution,[status(thm)],[f22,f12])).
% 13.39/2.06 fof(f27,plain,(
% 13.39/2.06 ![X0,X1,X2,X3,X4]: (p(nand(nand(X0,X1),X0))|~p(nand(X0,nand(X2,X3)))|~p(nand(X0,nand(X1,X4))))),
% 13.39/2.06 inference(resolution,[status(thm)],[f23,f12])).
% 13.39/2.06 fof(f29,plain,(
% 13.39/2.06 ![X0,X1,X2,X3,X4]: (p(nand(nand(X0,X0),X0))|~p(nand(X0,nand(X1,X2)))|~p(nand(nand(X0,X0),nand(X3,X4))))),
% 13.39/2.06 inference(resolution,[status(thm)],[f24,f12])).
% 13.39/2.06 fof(f33,plain,(
% 13.39/2.06 ![X0,X1,X2,X3]: (p(nand(nand(nand(X0,X1),nand(X0,X1)),nand(X0,X1)))|~p(nand(nand(X0,X1),nand(X2,X3))))),
% 13.39/2.06 inference(resolution,[status(thm)],[f29,f5])).
% 13.39/2.06 fof(f34,plain,(
% 13.39/2.07 ![X0,X1,X2,X3,X4]: (p(nand(nand(X0,X0),X0))|~p(nand(X0,nand(X1,X2)))|~p(nand(X3,nand(X4,X0))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f29,f14])).
% 13.39/2.07 fof(f38,plain,(
% 13.39/2.07 ![X0,X1,X2,X3,X4]: (p(nand(nand(X0,X0),X0))|~p(nand(X0,nand(X1,X2)))|~p(nand(X3,nand(X0,X4))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f34,f12])).
% 13.39/2.07 fof(f49,plain,(
% 13.39/2.07 ![X0,X1,X2]: (p(nand(nand(nand(X0,nand(X1,X2)),nand(X0,nand(X1,X2))),nand(X0,nand(X1,X2)))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f33,f5])).
% 13.39/2.07 fof(f50,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(nand(nand(X0,X1),nand(X0,X1)),nand(X0,X1)))|~p(nand(X2,nand(X3,X1))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f33,f14])).
% 13.39/2.07 fof(f59,plain,(
% 13.39/2.07 ![X0,X1,X2]: (p(nand(nand(X0,X0),X0))|~p(nand(X0,nand(X1,X2))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f49,f38])).
% 13.39/2.07 fof(f74,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(nand(nand(X0,X1),nand(X0,X1)),nand(X0,X1)))|~p(nand(X2,nand(X1,X3))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f50,f12])).
% 13.39/2.07 fof(f75,plain,(
% 13.39/2.07 ![X0,X1]: (p(nand(nand(nand(X0,X1),nand(X0,X1)),nand(X0,X1))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f74,f49])).
% 13.39/2.07 fof(f89,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (~p(nand(X0,nand(X1,nand(X2,X3))))|p(nand(X0,nand(nand(X2,X3),nand(X2,X3)))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f75,f15])).
% 13.39/2.07 fof(f91,plain,(
% 13.39/2.07 ![X0,X1,X2]: (p(nand(nand(X0,nand(X1,X2)),nand(nand(X0,nand(X0,X1)),nand(X0,nand(X0,X1))))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f89,f5])).
% 13.39/2.07 fof(f93,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(X0,nand(nand(X1,X2),nand(X1,X2))))|~p(nand(X0,nand(nand(X1,X2),X3))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f89,f12])).
% 13.39/2.07 fof(f101,plain,(
% 13.39/2.07 ![X0,X1,X2,X3,X4]: (~p(nand(X0,nand(X1,nand(nand(X2,nand(X2,X3)),nand(X2,nand(X2,X3))))))|p(nand(X0,nand(X2,nand(X3,X4)))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f91,f15])).
% 13.39/2.07 fof(f118,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(nand(X0,X1),nand(nand(X0,X1),nand(X0,X1))))|~p(nand(nand(X0,X1),nand(X2,X3))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f93,f12])).
% 13.39/2.07 fof(f171,plain,(
% 13.39/2.07 ![X0,X1,X2]: (p(nand(nand(X0,nand(X1,X2)),nand(nand(X0,nand(X1,X2)),nand(X0,nand(X1,X2))))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f118,f5])).
% 13.39/2.07 fof(f173,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(nand(X0,X1),nand(nand(X0,X1),nand(X0,X1))))|~p(nand(X2,nand(X3,X1))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f118,f14])).
% 13.39/2.07 fof(f182,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(nand(nand(X0,X1),nand(X0,X1)),nand(X1,X2)))|~p(nand(X0,nand(X3,X2))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f171,f18])).
% 13.39/2.07 fof(f195,plain,(
% 13.39/2.07 ![X0,X1]: (p(nand(nand(X0,X1),nand(nand(X0,X1),nand(X0,X1)))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f173,f75])).
% 13.39/2.07 fof(f214,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(nand(nand(X0,X1),X2),nand(X0,X1)))|~p(nand(nand(X0,X1),nand(X2,X3))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f195,f27])).
% 13.39/2.07 fof(f225,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(nand(nand(X0,X1),nand(X0,X1)),nand(X1,X2)))|~p(nand(X0,nand(X2,X3))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f182,f12])).
% 13.39/2.07 fof(f228,plain,(
% 13.39/2.07 ![X0,X1]: (p(nand(nand(nand(nand(X0,X1),nand(X0,X1)),X0),nand(nand(X0,X1),nand(X0,X1)))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f214,f75])).
% 13.39/2.07 fof(f232,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(nand(nand(X0,X1),nand(X2,X0)),nand(X0,X1)))|~p(nand(X2,nand(X3,X1))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f214,f14])).
% 13.39/2.07 fof(f285,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(nand(nand(X0,X1),nand(X0,X1)),nand(X1,X0)))|~p(nand(X0,nand(X2,X3))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f225,f12])).
% 13.39/2.07 fof(f290,plain,(
% 13.39/2.07 ![X0,X1,X2]: (p(nand(nand(nand(nand(X0,X0),nand(X0,X0)),X0),X0))|~p(nand(X0,nand(X1,X2))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f228,f24])).
% 13.39/2.07 fof(f343,plain,(
% 13.39/2.07 ![X0,X1,X2]: (p(nand(nand(nand(X0,nand(X1,X2)),nand(nand(X1,X2),X0)),nand(X0,nand(X1,X2)))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f232,f195])).
% 13.39/2.07 fof(f345,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(nand(nand(X0,X1),nand(X2,X0)),nand(X0,X1)))|~p(nand(X2,nand(X1,X3))))),
% 13.39/2.07 inference(resolution,[status(thm)],[f232,f12])).
% 13.39/2.07 fof(f481,plain,(
% 13.39/2.07 ![X0,X1,X2]: (~p(nand(nand(X0,nand(X1,X2)),nand(nand(X1,X2),X0)))|p(nand(X1,X2)))),
% 13.39/2.07 inference(resolution,[status(thm)],[f343,f8])).
% 13.39/2.07 fof(f508,plain,(
% 13.39/2.07 ![X0,X1,X2,X3]: (p(nand(nand(nand(X0,X1),nand(X1,X0)),nand(X0,X1)))|~p(nand(X1,nand(X2,X3))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f345,f12])).
% 13.39/2.08 fof(f1099,plain,(
% 13.39/2.08 ![X0,X1,X2]: (p(nand(nand(nand(X0,nand(X0,X1)),nand(X0,nand(X0,X1))),nand(X0,nand(X1,X2)))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f101,f195])).
% 13.39/2.08 fof(f1121,plain,(
% 13.39/2.08 ![X0,X1,X2]: (p(nand(nand(nand(X0,nand(X0,X1)),nand(X0,nand(X0,X1))),nand(nand(X1,X2),nand(X1,X2)))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f1099,f89])).
% 13.39/2.08 fof(f1195,plain,(
% 13.39/2.08 ![X0]: (p(nand(X0,nand(X0,X0))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f1121,f481])).
% 13.39/2.08 fof(f1272,plain,(
% 13.39/2.08 ![X0,X1]: (p(nand(nand(nand(X0,X1),nand(X1,X0)),nand(X0,X1))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f1195,f508])).
% 13.39/2.08 fof(f1275,plain,(
% 13.39/2.08 ![X0]: (p(nand(nand(nand(nand(X0,X0),nand(X0,X0)),X0),X0)))),
% 13.39/2.08 inference(resolution,[status(thm)],[f1195,f290])).
% 13.39/2.08 fof(f1276,plain,(
% 13.39/2.08 ![X0,X1]: (p(nand(nand(nand(X0,X1),nand(X0,X1)),nand(X1,X0))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f1195,f285])).
% 13.39/2.08 fof(f1284,plain,(
% 13.39/2.08 ![X0]: (p(nand(nand(X0,X0),X0)))),
% 13.39/2.08 inference(resolution,[status(thm)],[f1195,f59])).
% 13.39/2.08 fof(f1377,plain,(
% 13.39/2.08 ![X0,X1,X2]: (~p(nand(X0,nand(X1,X2)))|p(nand(X0,nand(X2,X2))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f1284,f15])).
% 13.39/2.08 fof(f1420,plain,(
% 13.39/2.08 ![X0,X1,X2,X3]: (~p(nand(X0,nand(X1,nand(X2,X3))))|p(nand(X0,nand(nand(X2,X3),nand(X3,X2)))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f1272,f15])).
% 13.39/2.08 fof(f1642,plain,(
% 13.39/2.08 ![X0,X1]: (p(nand(nand(nand(X0,X1),nand(X0,X1)),nand(X0,X0))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f1377,f1276])).
% 13.39/2.08 fof(f1647,plain,(
% 13.39/2.08 ![X0,X1]: (p(nand(nand(nand(X0,X1),nand(X0,X1)),nand(X1,X1))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f1377,f1284])).
% 13.39/2.08 fof(f2822,plain,(
% 13.39/2.08 ![X0,X1]: (p(nand(nand(X0,X1),nand(nand(X0,X1),nand(X1,X0)))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f1420,f1195])).
% 13.39/2.08 fof(f2867,plain,(
% 13.39/2.08 ![X0,X1]: (~p(nand(X0,X1))|p(nand(X1,X0)))),
% 13.39/2.08 inference(resolution,[status(thm)],[f2822,f8])).
% 13.39/2.08 fof(f2966,plain,(
% 13.39/2.08 ![X0]: (p(nand(X0,nand(nand(nand(X0,X0),nand(X0,X0)),X0))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f2867,f1275])).
% 13.39/2.08 fof(f6347,plain,(
% 13.39/2.08 ![X0,X1]: (~p(nand(nand(sk0_0,nand(sk0_1,sk0_1)),nand(X0,X1)))|~p(nand(nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0)))),X1)))),
% 13.39/2.08 inference(resolution,[status(thm)],[f15,f11])).
% 13.39/2.08 fof(f6459,plain,(
% 13.39/2.08 ![X0,X1]: (~p(nand(nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0)))),nand(X0,sk0_0)))|~p(nand(X0,nand(X1,nand(sk0_1,sk0_1)))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f6347,f14])).
% 13.39/2.08 fof(f7304,plain,(
% 13.39/2.08 spl0_55 <=> ~p(nand(nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0)))),nand(X0,nand(sk0_1,sk0_1))))),
% 13.39/2.08 introduced(split_symbol_definition)).
% 13.39/2.08 fof(f7305,plain,(
% 13.39/2.08 ![X0]: (~p(nand(nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0)))),nand(X0,nand(sk0_1,sk0_1))))|~spl0_55)),
% 13.39/2.08 inference(component_clause,[status(thm)],[f7304])).
% 13.39/2.08 fof(f7312,plain,(
% 13.39/2.08 spl0_57 <=> ~p(nand(nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0)))),nand(sk0_0,X1)))),
% 13.39/2.08 introduced(split_symbol_definition)).
% 13.39/2.08 fof(f7313,plain,(
% 13.39/2.08 ![X0]: (~p(nand(nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0)))),nand(sk0_0,X0)))|~spl0_57)),
% 13.39/2.08 inference(component_clause,[status(thm)],[f7312])).
% 13.39/2.08 fof(f7315,plain,(
% 13.39/2.08 ![X0,X1]: (~p(nand(nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0)))),nand(X0,nand(sk0_1,sk0_1))))|~p(nand(nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0)))),nand(sk0_0,X1))))),
% 13.39/2.08 inference(resolution,[status(thm)],[f6459,f12])).
% 13.39/2.08 fof(f7316,plain,(
% 13.39/2.08 spl0_55|spl0_57),
% 13.73/2.08 inference(split_clause,[status(thm)],[f7315,f7304,f7312])).
% 13.73/2.08 fof(f7931,plain,(
% 13.73/2.08 $false|~spl0_55),
% 13.73/2.08 inference(resolution,[status(thm)],[f7305,f1642])).
% 13.73/2.08 fof(f7932,plain,(
% 13.73/2.08 ~spl0_55),
% 13.73/2.08 inference(contradiction_clause,[status(thm)],[f7931])).
% 13.73/2.08 fof(f7972,plain,(
% 13.73/2.08 ![X0,X1,X2]: (~p(nand(nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0)))),nand(X0,X1)))|~p(nand(nand(sk0_0,X2),X1))|~spl0_57)),
% 13.73/2.08 inference(resolution,[status(thm)],[f7313,f15])).
% 13.73/2.08 fof(f7993,plain,(
% 13.73/2.08 ![X0,X1,X2,X3]: (~p(nand(nand(nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0))),nand(nand(sk0_1,sk0_1),nand(nand(sk0_0,sk0_0),nand(sk0_0,sk0_0)))),nand(X0,nand(nand(X1,sk0_0),nand(X1,sk0_0)))))|~p(nand(X1,nand(X2,X3)))|~spl0_57)),
% 13.73/2.08 inference(resolution,[status(thm)],[f7972,f14])).
% 13.73/2.08 fof(f8176,plain,(
% 13.73/2.08 ![X0,X1]: (~p(nand(sk0_0,nand(X0,X1)))|~spl0_57)),
% 13.73/2.08 inference(resolution,[status(thm)],[f7993,f1647])).
% 13.73/2.08 fof(f8661,plain,(
% 13.73/2.08 $false|~spl0_57),
% 13.73/2.08 inference(resolution,[status(thm)],[f8176,f2966])).
% 13.73/2.08 fof(f8662,plain,(
% 13.73/2.08 ~spl0_57),
% 13.73/2.08 inference(contradiction_clause,[status(thm)],[f8661])).
% 13.73/2.08 fof(f8663,plain,(
% 13.73/2.08 $false),
% 13.73/2.08 inference(sat_refutation,[status(thm)],[f7316,f7932,f8662])).
% 13.73/2.08 % SZS output end CNFRefutation for theBenchmark.p
% 13.73/2.12 % Elapsed time: 1.780276 seconds
% 13.73/2.12 % CPU time: 13.914013 seconds
% 13.73/2.12 % Total memory used: 234.438 MB
% 13.73/2.12 % Net memory used: 228.241 MB
%------------------------------------------------------------------------------