TSTP Solution File: PUZ133+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : PUZ133+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:37:11 EDT 2024
% Result : Theorem 3.92s 0.82s
% Output : CNFRefutation 3.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : PUZ133+1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n018.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Apr 29 22:21:42 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 3.92/0.82 % Refutation found
% 3.92/0.82 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.92/0.82 % SZS output start CNFRefutation for theBenchmark
% 3.92/0.82 fof(f1,axiom,(
% 3.92/0.82 ( queens_p=> (! [I,J] :( ( le(s(n0),I)& le(I,n)& le(s(I),J)& le(J,n) )=> ( p(I) != p(J)& plus(p(I),I) != plus(p(J),J)& minus(p(I),I) != minus(p(J),J) ) ) )) ),
% 3.92/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.82 fof(f3,axiom,(
% 3.92/0.82 ( (! [I,J] :( ( le(s(n0),I)& le(I,n)& le(s(I),J)& le(J,n)& ( le(s(I),J)<=> le(s(perm(J)),perm(I)) ) )=> ( q(I) != q(J)& plus(q(I),I) != plus(q(J),J)& minus(q(I),I) != minus(q(J),J) ) ))=> queens_q ) ),
% 3.92/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.82 fof(f4,conjecture,(
% 3.92/0.82 ( ( queens_p& (! [I] : q(I) = p(perm(I)) ))=> queens_q ) ),
% 3.92/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.82 fof(f5,negated_conjecture,(
% 3.92/0.82 ~(( ( queens_p& (! [I] : q(I) = p(perm(I)) ))=> queens_q ) )),
% 3.92/0.82 inference(negated_conjecture,[status(cth)],[f4])).
% 3.92/0.82 fof(f6,axiom,(
% 3.92/0.82 (! [I] :( ( le(s(n0),I)& le(I,n) )=> ( le(s(n0),perm(I))& le(perm(I),n) ) ) )),
% 3.92/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.82 fof(f7,axiom,(
% 3.92/0.82 (! [J,I] : minus(I,J) = minus(perm(J),perm(I)) )),
% 3.92/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.82 fof(f8,axiom,(
% 3.92/0.82 (! [X,Y,Z] :( ( le(X,Y)& le(Y,Z) )=> le(X,Z) ) )),
% 3.92/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.82 fof(f9,axiom,(
% 3.92/0.82 (! [X] : le(X,s(X)) )),
% 3.92/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.82 fof(f10,axiom,(
% 3.92/0.82 (! [I,J,K,L] :( plus(I,J) = plus(K,L)<=> minus(I,K) = minus(L,J) ) )),
% 3.92/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.82 fof(f11,axiom,(
% 3.92/0.82 (! [I,J,K,L] :( minus(I,J) = minus(K,L)<=> minus(I,K) = minus(J,L) ) )),
% 3.92/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.92/0.82 fof(f12,plain,(
% 3.92/0.82 ~queens_p|(![I,J]: ((((~le(s(n0),I)|~le(I,n))|~le(s(I),J))|~le(J,n))|((~p(I)=p(J)&~plus(p(I),I)=plus(p(J),J))&~minus(p(I),I)=minus(p(J),J))))),
% 3.92/0.82 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 3.92/0.82 fof(f13,plain,(
% 3.92/0.82 ![X0,X1]: (~queens_p|~le(s(n0),X0)|~le(X0,n)|~le(s(X0),X1)|~le(X1,n)|~p(X0)=p(X1))),
% 3.92/0.82 inference(cnf_transformation,[status(esa)],[f12])).
% 3.92/0.82 fof(f14,plain,(
% 3.92/0.82 ![X0,X1]: (~queens_p|~le(s(n0),X0)|~le(X0,n)|~le(s(X0),X1)|~le(X1,n)|~plus(p(X0),X0)=plus(p(X1),X1))),
% 3.92/0.82 inference(cnf_transformation,[status(esa)],[f12])).
% 3.92/0.82 fof(f15,plain,(
% 3.92/0.82 ![X0,X1]: (~queens_p|~le(s(n0),X0)|~le(X0,n)|~le(s(X0),X1)|~le(X1,n)|~minus(p(X0),X0)=minus(p(X1),X1))),
% 3.92/0.82 inference(cnf_transformation,[status(esa)],[f12])).
% 3.92/0.82 fof(f17,plain,(
% 3.92/0.82 (?[I,J]: (((((le(s(n0),I)&le(I,n))&le(s(I),J))&le(J,n))&(le(s(I),J)<=>le(s(perm(J)),perm(I))))&((q(I)=q(J)|plus(q(I),I)=plus(q(J),J))|minus(q(I),I)=minus(q(J),J))))|queens_q),
% 3.92/0.82 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 3.92/0.82 fof(f18,plain,(
% 3.92/0.82 (?[I,J]: (((((le(s(n0),I)&le(I,n))&le(s(I),J))&le(J,n))&((~le(s(I),J)|le(s(perm(J)),perm(I)))&(le(s(I),J)|~le(s(perm(J)),perm(I)))))&((q(I)=q(J)|plus(q(I),I)=plus(q(J),J))|minus(q(I),I)=minus(q(J),J))))|queens_q),
% 3.92/0.82 inference(NNF_transformation,[status(esa)],[f17])).
% 3.92/0.82 fof(f19,plain,(
% 3.92/0.82 (((((le(s(n0),sk0_0)&le(sk0_0,n))&le(s(sk0_0),sk0_1))&le(sk0_1,n))&((~le(s(sk0_0),sk0_1)|le(s(perm(sk0_1)),perm(sk0_0)))&(le(s(sk0_0),sk0_1)|~le(s(perm(sk0_1)),perm(sk0_0)))))&((q(sk0_0)=q(sk0_1)|plus(q(sk0_0),sk0_0)=plus(q(sk0_1),sk0_1))|minus(q(sk0_0),sk0_0)=minus(q(sk0_1),sk0_1)))|queens_q),
% 3.92/0.82 inference(skolemization,[status(esa)],[f18])).
% 3.92/0.82 fof(f20,plain,(
% 3.92/0.82 le(s(n0),sk0_0)|queens_q),
% 3.92/0.82 inference(cnf_transformation,[status(esa)],[f19])).
% 3.92/0.82 fof(f21,plain,(
% 3.92/0.82 le(sk0_0,n)|queens_q),
% 3.92/0.82 inference(cnf_transformation,[status(esa)],[f19])).
% 3.92/0.82 fof(f22,plain,(
% 3.92/0.82 le(s(sk0_0),sk0_1)|queens_q),
% 3.92/0.82 inference(cnf_transformation,[status(esa)],[f19])).
% 3.92/0.82 fof(f23,plain,(
% 3.92/0.82 le(sk0_1,n)|queens_q),
% 3.92/0.82 inference(cnf_transformation,[status(esa)],[f19])).
% 3.92/0.82 fof(f24,plain,(
% 3.92/0.82 ~le(s(sk0_0),sk0_1)|le(s(perm(sk0_1)),perm(sk0_0))|queens_q),
% 3.92/0.82 inference(cnf_transformation,[status(esa)],[f19])).
% 3.92/0.82 fof(f26,plain,(
% 3.92/0.82 q(sk0_0)=q(sk0_1)|plus(q(sk0_0),sk0_0)=plus(q(sk0_1),sk0_1)|minus(q(sk0_0),sk0_0)=minus(q(sk0_1),sk0_1)|queens_q),
% 3.92/0.82 inference(cnf_transformation,[status(esa)],[f19])).
% 3.92/0.83 fof(f27,plain,(
% 3.92/0.83 ((queens_p&(![I]: q(I)=p(perm(I))))&~queens_q)),
% 3.92/0.83 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 3.92/0.83 fof(f28,plain,(
% 3.92/0.83 queens_p),
% 3.92/0.83 inference(cnf_transformation,[status(esa)],[f27])).
% 3.92/0.83 fof(f29,plain,(
% 3.92/0.83 ![X0]: (q(X0)=p(perm(X0)))),
% 3.92/0.83 inference(cnf_transformation,[status(esa)],[f27])).
% 3.92/0.83 fof(f30,plain,(
% 3.92/0.83 ~queens_q),
% 3.92/0.83 inference(cnf_transformation,[status(esa)],[f27])).
% 3.92/0.83 fof(f31,plain,(
% 3.92/0.83 ![I]: ((~le(s(n0),I)|~le(I,n))|(le(s(n0),perm(I))&le(perm(I),n)))),
% 3.92/0.83 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 3.92/0.83 fof(f32,plain,(
% 3.92/0.83 ![X0]: (~le(s(n0),X0)|~le(X0,n)|le(s(n0),perm(X0)))),
% 3.92/0.83 inference(cnf_transformation,[status(esa)],[f31])).
% 3.92/0.83 fof(f33,plain,(
% 3.92/0.83 ![X0]: (~le(s(n0),X0)|~le(X0,n)|le(perm(X0),n))),
% 3.92/0.83 inference(cnf_transformation,[status(esa)],[f31])).
% 3.92/0.83 fof(f34,plain,(
% 3.92/0.83 ![X0,X1]: (minus(X0,X1)=minus(perm(X1),perm(X0)))),
% 3.92/0.83 inference(cnf_transformation,[status(esa)],[f7])).
% 3.92/0.83 fof(f35,plain,(
% 3.92/0.83 ![X,Y,Z]: ((~le(X,Y)|~le(Y,Z))|le(X,Z))),
% 3.92/0.83 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.92/0.83 fof(f36,plain,(
% 3.92/0.83 ![X,Z]: ((![Y]: (~le(X,Y)|~le(Y,Z)))|le(X,Z))),
% 3.92/0.83 inference(miniscoping,[status(esa)],[f35])).
% 3.92/0.83 fof(f37,plain,(
% 3.92/0.83 ![X0,X1,X2]: (~le(X0,X1)|~le(X1,X2)|le(X0,X2))),
% 3.92/0.83 inference(cnf_transformation,[status(esa)],[f36])).
% 3.92/0.83 fof(f38,plain,(
% 3.92/0.83 ![X0]: (le(X0,s(X0)))),
% 3.92/0.83 inference(cnf_transformation,[status(esa)],[f9])).
% 3.92/0.83 fof(f39,plain,(
% 3.92/0.83 ![I,J,K,L]: ((~plus(I,J)=plus(K,L)|minus(I,K)=minus(L,J))&(plus(I,J)=plus(K,L)|~minus(I,K)=minus(L,J)))),
% 3.92/0.83 inference(NNF_transformation,[status(esa)],[f10])).
% 3.92/0.83 fof(f40,plain,(
% 3.92/0.83 (![I,J,K,L]: (~plus(I,J)=plus(K,L)|minus(I,K)=minus(L,J)))&(![I,J,K,L]: (plus(I,J)=plus(K,L)|~minus(I,K)=minus(L,J)))),
% 3.92/0.83 inference(miniscoping,[status(esa)],[f39])).
% 3.92/0.83 fof(f41,plain,(
% 3.92/0.83 ![X0,X1,X2,X3]: (~plus(X0,X1)=plus(X2,X3)|minus(X0,X2)=minus(X3,X1))),
% 3.92/0.83 inference(cnf_transformation,[status(esa)],[f40])).
% 3.92/0.83 fof(f42,plain,(
% 3.92/0.83 ![X0,X1,X2,X3]: (plus(X0,X1)=plus(X2,X3)|~minus(X0,X2)=minus(X3,X1))),
% 3.92/0.83 inference(cnf_transformation,[status(esa)],[f40])).
% 3.92/0.83 fof(f43,plain,(
% 3.92/0.83 ![I,J,K,L]: ((~minus(I,J)=minus(K,L)|minus(I,K)=minus(J,L))&(minus(I,J)=minus(K,L)|~minus(I,K)=minus(J,L)))),
% 3.92/0.83 inference(NNF_transformation,[status(esa)],[f11])).
% 3.92/0.83 fof(f44,plain,(
% 3.92/0.83 (![I,J,K,L]: (~minus(I,J)=minus(K,L)|minus(I,K)=minus(J,L)))&(![I,J,K,L]: (minus(I,J)=minus(K,L)|~minus(I,K)=minus(J,L)))),
% 3.92/0.83 inference(miniscoping,[status(esa)],[f43])).
% 3.92/0.83 fof(f45,plain,(
% 3.92/0.83 ![X0,X1,X2,X3]: (~minus(X0,X1)=minus(X2,X3)|minus(X0,X2)=minus(X1,X3))),
% 3.92/0.83 inference(cnf_transformation,[status(esa)],[f44])).
% 3.92/0.83 fof(f47,plain,(
% 3.92/0.83 spl0_0 <=> queens_p),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f49,plain,(
% 3.92/0.83 ~queens_p|spl0_0),
% 3.92/0.83 inference(component_clause,[status(thm)],[f47])).
% 3.92/0.83 fof(f50,plain,(
% 3.92/0.83 spl0_1 <=> ~le(s(n0),X0)|~le(X0,n)|~le(s(X0),X1)|~le(X1,n)|~p(X0)=p(X1)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f51,plain,(
% 3.92/0.83 ![X0,X1]: (~le(s(n0),X0)|~le(X0,n)|~le(s(X0),X1)|~le(X1,n)|~p(X0)=p(X1)|~spl0_1)),
% 3.92/0.83 inference(component_clause,[status(thm)],[f50])).
% 3.92/0.83 fof(f53,plain,(
% 3.92/0.83 ~spl0_0|spl0_1),
% 3.92/0.83 inference(split_clause,[status(thm)],[f13,f47,f50])).
% 3.92/0.83 fof(f54,plain,(
% 3.92/0.83 spl0_2 <=> ~le(s(n0),X0)|~le(X0,n)|~le(s(X0),X1)|~le(X1,n)|~plus(p(X0),X0)=plus(p(X1),X1)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f55,plain,(
% 3.92/0.83 ![X0,X1]: (~le(s(n0),X0)|~le(X0,n)|~le(s(X0),X1)|~le(X1,n)|~plus(p(X0),X0)=plus(p(X1),X1)|~spl0_2)),
% 3.92/0.83 inference(component_clause,[status(thm)],[f54])).
% 3.92/0.83 fof(f57,plain,(
% 3.92/0.83 ~spl0_0|spl0_2),
% 3.92/0.83 inference(split_clause,[status(thm)],[f14,f47,f54])).
% 3.92/0.83 fof(f58,plain,(
% 3.92/0.83 spl0_3 <=> ~le(s(n0),X0)|~le(X0,n)|~le(s(X0),X1)|~le(X1,n)|~minus(p(X0),X0)=minus(p(X1),X1)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f59,plain,(
% 3.92/0.83 ![X0,X1]: (~le(s(n0),X0)|~le(X0,n)|~le(s(X0),X1)|~le(X1,n)|~minus(p(X0),X0)=minus(p(X1),X1)|~spl0_3)),
% 3.92/0.83 inference(component_clause,[status(thm)],[f58])).
% 3.92/0.83 fof(f61,plain,(
% 3.92/0.83 ~spl0_0|spl0_3),
% 3.92/0.83 inference(split_clause,[status(thm)],[f15,f47,f58])).
% 3.92/0.83 fof(f62,plain,(
% 3.92/0.83 spl0_4 <=> le(s(n0),sk0_0)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f63,plain,(
% 3.92/0.83 le(s(n0),sk0_0)|~spl0_4),
% 3.92/0.83 inference(component_clause,[status(thm)],[f62])).
% 3.92/0.83 fof(f65,plain,(
% 3.92/0.83 spl0_5 <=> queens_q),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f66,plain,(
% 3.92/0.83 queens_q|~spl0_5),
% 3.92/0.83 inference(component_clause,[status(thm)],[f65])).
% 3.92/0.83 fof(f68,plain,(
% 3.92/0.83 spl0_4|spl0_5),
% 3.92/0.83 inference(split_clause,[status(thm)],[f20,f62,f65])).
% 3.92/0.83 fof(f69,plain,(
% 3.92/0.83 spl0_6 <=> le(sk0_0,n)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f72,plain,(
% 3.92/0.83 spl0_6|spl0_5),
% 3.92/0.83 inference(split_clause,[status(thm)],[f21,f69,f65])).
% 3.92/0.83 fof(f73,plain,(
% 3.92/0.83 spl0_7 <=> le(s(sk0_0),sk0_1)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f74,plain,(
% 3.92/0.83 le(s(sk0_0),sk0_1)|~spl0_7),
% 3.92/0.83 inference(component_clause,[status(thm)],[f73])).
% 3.92/0.83 fof(f76,plain,(
% 3.92/0.83 spl0_7|spl0_5),
% 3.92/0.83 inference(split_clause,[status(thm)],[f22,f73,f65])).
% 3.92/0.83 fof(f77,plain,(
% 3.92/0.83 spl0_8 <=> le(sk0_1,n)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f80,plain,(
% 3.92/0.83 spl0_8|spl0_5),
% 3.92/0.83 inference(split_clause,[status(thm)],[f23,f77,f65])).
% 3.92/0.83 fof(f81,plain,(
% 3.92/0.83 spl0_9 <=> le(s(perm(sk0_1)),perm(sk0_0))),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f82,plain,(
% 3.92/0.83 le(s(perm(sk0_1)),perm(sk0_0))|~spl0_9),
% 3.92/0.83 inference(component_clause,[status(thm)],[f81])).
% 3.92/0.83 fof(f84,plain,(
% 3.92/0.83 ~spl0_7|spl0_9|spl0_5),
% 3.92/0.83 inference(split_clause,[status(thm)],[f24,f73,f81,f65])).
% 3.92/0.83 fof(f86,plain,(
% 3.92/0.83 spl0_10 <=> q(sk0_0)=q(sk0_1)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f87,plain,(
% 3.92/0.83 q(sk0_0)=q(sk0_1)|~spl0_10),
% 3.92/0.83 inference(component_clause,[status(thm)],[f86])).
% 3.92/0.83 fof(f89,plain,(
% 3.92/0.83 spl0_11 <=> plus(q(sk0_0),sk0_0)=plus(q(sk0_1),sk0_1)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f90,plain,(
% 3.92/0.83 plus(q(sk0_0),sk0_0)=plus(q(sk0_1),sk0_1)|~spl0_11),
% 3.92/0.83 inference(component_clause,[status(thm)],[f89])).
% 3.92/0.83 fof(f92,plain,(
% 3.92/0.83 spl0_12 <=> minus(q(sk0_0),sk0_0)=minus(q(sk0_1),sk0_1)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f93,plain,(
% 3.92/0.83 minus(q(sk0_0),sk0_0)=minus(q(sk0_1),sk0_1)|~spl0_12),
% 3.92/0.83 inference(component_clause,[status(thm)],[f92])).
% 3.92/0.83 fof(f95,plain,(
% 3.92/0.83 spl0_10|spl0_11|spl0_12|spl0_5),
% 3.92/0.83 inference(split_clause,[status(thm)],[f26,f86,f89,f92,f65])).
% 3.92/0.83 fof(f96,plain,(
% 3.92/0.83 $false|spl0_0),
% 3.92/0.83 inference(forward_subsumption_resolution,[status(thm)],[f49,f28])).
% 3.92/0.83 fof(f97,plain,(
% 3.92/0.83 spl0_0),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f96])).
% 3.92/0.83 fof(f98,plain,(
% 3.92/0.83 $false|~spl0_5),
% 3.92/0.83 inference(forward_subsumption_resolution,[status(thm)],[f66,f30])).
% 3.92/0.83 fof(f99,plain,(
% 3.92/0.83 ~spl0_5),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f98])).
% 3.92/0.83 fof(f100,plain,(
% 3.92/0.83 spl0_13 <=> le(s(n0),perm(sk0_1))),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f102,plain,(
% 3.92/0.83 ~le(s(n0),perm(sk0_1))|spl0_13),
% 3.92/0.83 inference(component_clause,[status(thm)],[f100])).
% 3.92/0.83 fof(f103,plain,(
% 3.92/0.83 spl0_14 <=> le(perm(sk0_1),n)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f105,plain,(
% 3.92/0.83 ~le(perm(sk0_1),n)|spl0_14),
% 3.92/0.83 inference(component_clause,[status(thm)],[f103])).
% 3.92/0.83 fof(f106,plain,(
% 3.92/0.83 spl0_15 <=> le(perm(sk0_0),n)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f108,plain,(
% 3.92/0.83 ~le(perm(sk0_0),n)|spl0_15),
% 3.92/0.83 inference(component_clause,[status(thm)],[f106])).
% 3.92/0.83 fof(f109,plain,(
% 3.92/0.83 spl0_16 <=> p(perm(sk0_1))=p(perm(sk0_0))),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f111,plain,(
% 3.92/0.83 ~p(perm(sk0_1))=p(perm(sk0_0))|spl0_16),
% 3.92/0.83 inference(component_clause,[status(thm)],[f109])).
% 3.92/0.83 fof(f112,plain,(
% 3.92/0.83 ~le(s(n0),perm(sk0_1))|~le(perm(sk0_1),n)|~le(perm(sk0_0),n)|~p(perm(sk0_1))=p(perm(sk0_0))|~spl0_1|~spl0_9),
% 3.92/0.83 inference(resolution,[status(thm)],[f51,f82])).
% 3.92/0.83 fof(f113,plain,(
% 3.92/0.83 ~spl0_13|~spl0_14|~spl0_15|~spl0_16|~spl0_1|~spl0_9),
% 3.92/0.83 inference(split_clause,[status(thm)],[f112,f100,f103,f106,f109,f50,f81])).
% 3.92/0.83 fof(f119,plain,(
% 3.92/0.83 ~q(sk0_1)=p(perm(sk0_0))|spl0_16),
% 3.92/0.83 inference(forward_demodulation,[status(thm)],[f29,f111])).
% 3.92/0.83 fof(f120,plain,(
% 3.92/0.83 ~q(sk0_1)=q(sk0_0)|spl0_16),
% 3.92/0.83 inference(forward_demodulation,[status(thm)],[f29,f119])).
% 3.92/0.83 fof(f121,plain,(
% 3.92/0.83 spl0_18 <=> plus(p(perm(sk0_1)),perm(sk0_1))=plus(p(perm(sk0_0)),perm(sk0_0))),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f123,plain,(
% 3.92/0.83 ~plus(p(perm(sk0_1)),perm(sk0_1))=plus(p(perm(sk0_0)),perm(sk0_0))|spl0_18),
% 3.92/0.83 inference(component_clause,[status(thm)],[f121])).
% 3.92/0.83 fof(f124,plain,(
% 3.92/0.83 ~le(s(n0),perm(sk0_1))|~le(perm(sk0_1),n)|~le(perm(sk0_0),n)|~plus(p(perm(sk0_1)),perm(sk0_1))=plus(p(perm(sk0_0)),perm(sk0_0))|~spl0_2|~spl0_9),
% 3.92/0.83 inference(resolution,[status(thm)],[f55,f82])).
% 3.92/0.83 fof(f125,plain,(
% 3.92/0.83 ~spl0_13|~spl0_14|~spl0_15|~spl0_18|~spl0_2|~spl0_9),
% 3.92/0.83 inference(split_clause,[status(thm)],[f124,f100,f103,f106,f121,f54,f81])).
% 3.92/0.83 fof(f131,plain,(
% 3.92/0.83 ~plus(q(sk0_1),perm(sk0_1))=plus(p(perm(sk0_0)),perm(sk0_0))|spl0_18),
% 3.92/0.83 inference(forward_demodulation,[status(thm)],[f29,f123])).
% 3.92/0.83 fof(f132,plain,(
% 3.92/0.83 ~plus(q(sk0_1),perm(sk0_1))=plus(q(sk0_0),perm(sk0_0))|spl0_18),
% 3.92/0.83 inference(forward_demodulation,[status(thm)],[f29,f131])).
% 3.92/0.83 fof(f133,plain,(
% 3.92/0.83 spl0_20 <=> minus(p(perm(sk0_1)),perm(sk0_1))=minus(p(perm(sk0_0)),perm(sk0_0))),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f135,plain,(
% 3.92/0.83 ~minus(p(perm(sk0_1)),perm(sk0_1))=minus(p(perm(sk0_0)),perm(sk0_0))|spl0_20),
% 3.92/0.83 inference(component_clause,[status(thm)],[f133])).
% 3.92/0.83 fof(f136,plain,(
% 3.92/0.83 ~le(s(n0),perm(sk0_1))|~le(perm(sk0_1),n)|~le(perm(sk0_0),n)|~minus(p(perm(sk0_1)),perm(sk0_1))=minus(p(perm(sk0_0)),perm(sk0_0))|~spl0_3|~spl0_9),
% 3.92/0.83 inference(resolution,[status(thm)],[f59,f82])).
% 3.92/0.83 fof(f137,plain,(
% 3.92/0.83 ~spl0_13|~spl0_14|~spl0_15|~spl0_20|~spl0_3|~spl0_9),
% 3.92/0.83 inference(split_clause,[status(thm)],[f136,f100,f103,f106,f133,f58,f81])).
% 3.92/0.83 fof(f143,plain,(
% 3.92/0.83 ~minus(q(sk0_1),perm(sk0_1))=minus(p(perm(sk0_0)),perm(sk0_0))|spl0_20),
% 3.92/0.83 inference(forward_demodulation,[status(thm)],[f29,f135])).
% 3.92/0.83 fof(f144,plain,(
% 3.92/0.83 ~minus(q(sk0_1),perm(sk0_1))=minus(q(sk0_0),perm(sk0_0))|spl0_20),
% 3.92/0.83 inference(forward_demodulation,[status(thm)],[f29,f143])).
% 3.92/0.83 fof(f145,plain,(
% 3.92/0.83 ![X0]: (~le(perm(sk0_1),X0)|~le(X0,n)|spl0_14)),
% 3.92/0.83 inference(resolution,[status(thm)],[f37,f105])).
% 3.92/0.83 fof(f200,plain,(
% 3.92/0.83 ![X0,X1]: (~le(X0,n)|~le(perm(sk0_1),X1)|~le(X1,X0)|spl0_14)),
% 3.92/0.83 inference(resolution,[status(thm)],[f145,f37])).
% 3.92/0.83 fof(f231,plain,(
% 3.92/0.83 spl0_34 <=> le(s(n0),sk0_1)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f233,plain,(
% 3.92/0.83 ~le(s(n0),sk0_1)|spl0_34),
% 3.92/0.83 inference(component_clause,[status(thm)],[f231])).
% 3.92/0.83 fof(f442,plain,(
% 3.92/0.83 ![X0]: (~le(s(n0),X0)|~le(X0,sk0_1)|spl0_34)),
% 3.92/0.83 inference(resolution,[status(thm)],[f233,f37])).
% 3.92/0.83 fof(f650,plain,(
% 3.92/0.83 spl0_88 <=> le(perm(sk0_1),s(perm(sk0_1)))),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f652,plain,(
% 3.92/0.83 ~le(perm(sk0_1),s(perm(sk0_1)))|spl0_88),
% 3.92/0.83 inference(component_clause,[status(thm)],[f650])).
% 3.92/0.83 fof(f653,plain,(
% 3.92/0.83 ~le(perm(sk0_0),n)|~le(perm(sk0_1),s(perm(sk0_1)))|spl0_14|~spl0_9),
% 3.92/0.83 inference(resolution,[status(thm)],[f200,f82])).
% 3.92/0.83 fof(f654,plain,(
% 3.92/0.83 ~spl0_15|~spl0_88|spl0_14|~spl0_9),
% 3.92/0.83 inference(split_clause,[status(thm)],[f653,f106,f650,f103,f81])).
% 3.92/0.83 fof(f671,plain,(
% 3.92/0.83 $false|spl0_88),
% 3.92/0.83 inference(forward_subsumption_resolution,[status(thm)],[f652,f38])).
% 3.92/0.83 fof(f672,plain,(
% 3.92/0.83 spl0_88),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f671])).
% 3.92/0.83 fof(f789,plain,(
% 3.92/0.83 ~le(sk0_0,sk0_1)|~spl0_4|spl0_34),
% 3.92/0.83 inference(resolution,[status(thm)],[f63,f442])).
% 3.92/0.83 fof(f822,plain,(
% 3.92/0.83 ![X0]: (~le(sk0_0,X0)|~le(X0,sk0_1)|~spl0_4|spl0_34)),
% 3.92/0.83 inference(resolution,[status(thm)],[f789,f37])).
% 3.92/0.83 fof(f895,plain,(
% 3.92/0.83 ~le(s(sk0_0),sk0_1)|~spl0_4|spl0_34),
% 3.92/0.83 inference(resolution,[status(thm)],[f822,f38])).
% 3.92/0.83 fof(f896,plain,(
% 3.92/0.83 $false|~spl0_7|~spl0_4|spl0_34),
% 3.92/0.83 inference(forward_subsumption_resolution,[status(thm)],[f895,f74])).
% 3.92/0.83 fof(f897,plain,(
% 3.92/0.83 ~spl0_7|~spl0_4|spl0_34),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f896])).
% 3.92/0.83 fof(f964,plain,(
% 3.92/0.83 ![X0,X1,X2,X3]: (~plus(perm(X0),X1)=plus(perm(X2),X3)|minus(X2,X0)=minus(X3,X1))),
% 3.92/0.83 inference(paramodulation,[status(thm)],[f34,f41])).
% 3.92/0.83 fof(f971,plain,(
% 3.92/0.83 ~minus(q(sk0_1),q(sk0_0))=minus(perm(sk0_0),perm(sk0_1))|spl0_18),
% 3.92/0.83 inference(resolution,[status(thm)],[f42,f132])).
% 3.92/0.83 fof(f972,plain,(
% 3.92/0.83 ~minus(q(sk0_1),q(sk0_0))=minus(sk0_1,sk0_0)|spl0_18),
% 3.92/0.83 inference(forward_demodulation,[status(thm)],[f34,f971])).
% 3.92/0.83 fof(f988,plain,(
% 3.92/0.83 ~minus(q(sk0_1),q(sk0_0))=minus(perm(sk0_1),perm(sk0_0))|spl0_20),
% 3.92/0.83 inference(resolution,[status(thm)],[f45,f144])).
% 3.92/0.83 fof(f989,plain,(
% 3.92/0.83 ~minus(q(sk0_1),q(sk0_0))=minus(sk0_0,sk0_1)|spl0_20),
% 3.92/0.83 inference(forward_demodulation,[status(thm)],[f34,f988])).
% 3.92/0.83 fof(f1124,plain,(
% 3.92/0.83 ~le(s(n0),sk0_0)|~le(sk0_0,n)|spl0_15),
% 3.92/0.83 inference(resolution,[status(thm)],[f33,f108])).
% 3.92/0.83 fof(f1125,plain,(
% 3.92/0.83 ~spl0_4|~spl0_6|spl0_15),
% 3.92/0.83 inference(split_clause,[status(thm)],[f1124,f62,f69,f106])).
% 3.92/0.83 fof(f1364,plain,(
% 3.92/0.83 ~minus(q(sk0_1),sk0_1)=minus(q(sk0_0),sk0_0)|spl0_18),
% 3.92/0.83 inference(resolution,[status(thm)],[f972,f45])).
% 3.92/0.83 fof(f1365,plain,(
% 3.92/0.83 ~minus(q(sk0_0),sk0_0)=minus(q(sk0_0),sk0_0)|~spl0_12|spl0_18),
% 3.92/0.83 inference(forward_demodulation,[status(thm)],[f93,f1364])).
% 3.92/0.83 fof(f1366,plain,(
% 3.92/0.83 $false|~spl0_12|spl0_18),
% 3.92/0.83 inference(trivial_equality_resolution,[status(esa)],[f1365])).
% 3.92/0.83 fof(f1367,plain,(
% 3.92/0.83 ~spl0_12|spl0_18),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f1366])).
% 3.92/0.83 fof(f1374,plain,(
% 3.92/0.83 $false|spl0_16|~spl0_10),
% 3.92/0.83 inference(forward_subsumption_resolution,[status(thm)],[f87,f120])).
% 3.92/0.83 fof(f1375,plain,(
% 3.92/0.83 spl0_16|~spl0_10),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f1374])).
% 3.92/0.83 fof(f1385,plain,(
% 3.92/0.83 ~plus(q(sk0_1),sk0_1)=plus(q(sk0_0),sk0_0)|spl0_20),
% 3.92/0.83 inference(resolution,[status(thm)],[f989,f41])).
% 3.92/0.83 fof(f1386,plain,(
% 3.92/0.83 ~plus(q(sk0_0),sk0_0)=plus(q(sk0_0),sk0_0)|~spl0_11|spl0_20),
% 3.92/0.83 inference(forward_demodulation,[status(thm)],[f90,f1385])).
% 3.92/0.83 fof(f1387,plain,(
% 3.92/0.83 $false|~spl0_11|spl0_20),
% 3.92/0.83 inference(trivial_equality_resolution,[status(esa)],[f1386])).
% 3.92/0.83 fof(f1388,plain,(
% 3.92/0.83 ~spl0_11|spl0_20),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f1387])).
% 3.92/0.83 fof(f1452,plain,(
% 3.92/0.83 spl0_147 <=> minus(q(sk0_1),q(sk0_1))=minus(perm(sk0_1),perm(sk0_1))),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f1454,plain,(
% 3.92/0.83 ~minus(q(sk0_1),q(sk0_1))=minus(perm(sk0_1),perm(sk0_1))|spl0_147),
% 3.92/0.83 inference(component_clause,[status(thm)],[f1452])).
% 3.92/0.83 fof(f1457,plain,(
% 3.92/0.83 ~minus(q(sk0_1),q(sk0_1))=minus(sk0_1,sk0_1)|spl0_147),
% 3.92/0.83 inference(forward_demodulation,[status(thm)],[f34,f1454])).
% 3.92/0.83 fof(f1458,plain,(
% 3.92/0.83 ~plus(perm(q(sk0_1)),sk0_1)=plus(perm(q(sk0_1)),sk0_1)|spl0_147),
% 3.92/0.83 inference(resolution,[status(thm)],[f1457,f964])).
% 3.92/0.83 fof(f1459,plain,(
% 3.92/0.83 $false|spl0_147),
% 3.92/0.83 inference(trivial_equality_resolution,[status(esa)],[f1458])).
% 3.92/0.83 fof(f1460,plain,(
% 3.92/0.83 spl0_147),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f1459])).
% 3.92/0.83 fof(f2864,plain,(
% 3.92/0.83 spl0_187 <=> minus(p(sk0_1),sk0_1)=minus(p(sk0_1),sk0_1)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f2866,plain,(
% 3.92/0.83 ~minus(p(sk0_1),sk0_1)=minus(p(sk0_1),sk0_1)|spl0_187),
% 3.92/0.83 inference(component_clause,[status(thm)],[f2864])).
% 3.92/0.83 fof(f2877,plain,(
% 3.92/0.83 spl0_190 <=> minus(p(n),n)=minus(p(n),n)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f2879,plain,(
% 3.92/0.83 ~minus(p(n),n)=minus(p(n),n)|spl0_190),
% 3.92/0.83 inference(component_clause,[status(thm)],[f2877])).
% 3.92/0.83 fof(f2890,plain,(
% 3.92/0.83 spl0_193 <=> minus(p(sk0_0),sk0_0)=minus(p(sk0_0),sk0_0)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f2892,plain,(
% 3.92/0.83 ~minus(p(sk0_0),sk0_0)=minus(p(sk0_0),sk0_0)|spl0_193),
% 3.92/0.83 inference(component_clause,[status(thm)],[f2890])).
% 3.92/0.83 fof(f2923,plain,(
% 3.92/0.83 spl0_200 <=> minus(p(s(s(n0))),s(s(n0)))=minus(p(s(s(n0))),s(s(n0)))),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f2925,plain,(
% 3.92/0.83 ~minus(p(s(s(n0))),s(s(n0)))=minus(p(s(s(n0))),s(s(n0)))|spl0_200),
% 3.92/0.83 inference(component_clause,[status(thm)],[f2923])).
% 3.92/0.83 fof(f2982,plain,(
% 3.92/0.83 $false|spl0_200),
% 3.92/0.83 inference(trivial_equality_resolution,[status(esa)],[f2925])).
% 3.92/0.83 fof(f2983,plain,(
% 3.92/0.83 spl0_200),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f2982])).
% 3.92/0.83 fof(f2984,plain,(
% 3.92/0.83 $false|spl0_193),
% 3.92/0.83 inference(trivial_equality_resolution,[status(esa)],[f2892])).
% 3.92/0.83 fof(f2985,plain,(
% 3.92/0.83 spl0_193),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f2984])).
% 3.92/0.83 fof(f2986,plain,(
% 3.92/0.83 $false|spl0_190),
% 3.92/0.83 inference(trivial_equality_resolution,[status(esa)],[f2879])).
% 3.92/0.83 fof(f2987,plain,(
% 3.92/0.83 spl0_190),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f2986])).
% 3.92/0.83 fof(f2988,plain,(
% 3.92/0.83 $false|spl0_187),
% 3.92/0.83 inference(trivial_equality_resolution,[status(esa)],[f2866])).
% 3.92/0.83 fof(f2989,plain,(
% 3.92/0.83 spl0_187),
% 3.92/0.83 inference(contradiction_clause,[status(thm)],[f2988])).
% 3.92/0.83 fof(f3071,plain,(
% 3.92/0.83 spl0_222 <=> plus(p(sk0_1),sk0_1)=plus(p(sk0_1),sk0_1)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.83 fof(f3073,plain,(
% 3.92/0.83 ~plus(p(sk0_1),sk0_1)=plus(p(sk0_1),sk0_1)|spl0_222),
% 3.92/0.83 inference(component_clause,[status(thm)],[f3071])).
% 3.92/0.83 fof(f3081,plain,(
% 3.92/0.83 spl0_224 <=> plus(p(n),n)=plus(p(n),n)),
% 3.92/0.83 introduced(split_symbol_definition)).
% 3.92/0.84 fof(f3083,plain,(
% 3.92/0.84 ~plus(p(n),n)=plus(p(n),n)|spl0_224),
% 3.92/0.84 inference(component_clause,[status(thm)],[f3081])).
% 3.92/0.84 fof(f3091,plain,(
% 3.92/0.84 spl0_226 <=> plus(p(sk0_0),sk0_0)=plus(p(sk0_0),sk0_0)),
% 3.92/0.84 introduced(split_symbol_definition)).
% 3.92/0.84 fof(f3093,plain,(
% 3.92/0.84 ~plus(p(sk0_0),sk0_0)=plus(p(sk0_0),sk0_0)|spl0_226),
% 3.92/0.84 inference(component_clause,[status(thm)],[f3091])).
% 3.92/0.84 fof(f3121,plain,(
% 3.92/0.84 spl0_232 <=> plus(p(s(s(n0))),s(s(n0)))=plus(p(s(s(n0))),s(s(n0)))),
% 3.92/0.84 introduced(split_symbol_definition)).
% 3.92/0.84 fof(f3123,plain,(
% 3.92/0.84 ~plus(p(s(s(n0))),s(s(n0)))=plus(p(s(s(n0))),s(s(n0)))|spl0_232),
% 3.92/0.84 inference(component_clause,[status(thm)],[f3121])).
% 3.92/0.84 fof(f3172,plain,(
% 3.92/0.84 $false|spl0_232),
% 3.92/0.84 inference(trivial_equality_resolution,[status(esa)],[f3123])).
% 3.92/0.84 fof(f3173,plain,(
% 3.92/0.84 spl0_232),
% 3.92/0.84 inference(contradiction_clause,[status(thm)],[f3172])).
% 3.92/0.84 fof(f3174,plain,(
% 3.92/0.84 $false|spl0_226),
% 3.92/0.84 inference(trivial_equality_resolution,[status(esa)],[f3093])).
% 3.92/0.84 fof(f3175,plain,(
% 3.92/0.84 spl0_226),
% 3.92/0.84 inference(contradiction_clause,[status(thm)],[f3174])).
% 3.92/0.84 fof(f3176,plain,(
% 3.92/0.84 $false|spl0_224),
% 3.92/0.84 inference(trivial_equality_resolution,[status(esa)],[f3083])).
% 3.92/0.84 fof(f3177,plain,(
% 3.92/0.84 spl0_224),
% 3.92/0.84 inference(contradiction_clause,[status(thm)],[f3176])).
% 3.92/0.84 fof(f3178,plain,(
% 3.92/0.84 $false|spl0_222),
% 3.92/0.84 inference(trivial_equality_resolution,[status(esa)],[f3073])).
% 3.92/0.84 fof(f3179,plain,(
% 3.92/0.84 spl0_222),
% 3.92/0.84 inference(contradiction_clause,[status(thm)],[f3178])).
% 3.92/0.84 fof(f3261,plain,(
% 3.92/0.84 spl0_252 <=> p(sk0_1)=p(sk0_1)),
% 3.92/0.84 introduced(split_symbol_definition)).
% 3.92/0.84 fof(f3263,plain,(
% 3.92/0.84 ~p(sk0_1)=p(sk0_1)|spl0_252),
% 3.92/0.84 inference(component_clause,[status(thm)],[f3261])).
% 3.92/0.84 fof(f3271,plain,(
% 3.92/0.84 spl0_254 <=> p(n)=p(n)),
% 3.92/0.84 introduced(split_symbol_definition)).
% 3.92/0.84 fof(f3273,plain,(
% 3.92/0.84 ~p(n)=p(n)|spl0_254),
% 3.92/0.84 inference(component_clause,[status(thm)],[f3271])).
% 3.92/0.84 fof(f3281,plain,(
% 3.92/0.84 spl0_256 <=> p(sk0_0)=p(sk0_0)),
% 3.92/0.84 introduced(split_symbol_definition)).
% 3.92/0.84 fof(f3283,plain,(
% 3.92/0.84 ~p(sk0_0)=p(sk0_0)|spl0_256),
% 3.92/0.84 inference(component_clause,[status(thm)],[f3281])).
% 3.92/0.84 fof(f3311,plain,(
% 3.92/0.84 spl0_262 <=> p(s(s(n0)))=p(s(s(n0)))),
% 3.92/0.84 introduced(split_symbol_definition)).
% 3.92/0.84 fof(f3313,plain,(
% 3.92/0.84 ~p(s(s(n0)))=p(s(s(n0)))|spl0_262),
% 3.92/0.84 inference(component_clause,[status(thm)],[f3311])).
% 3.92/0.84 fof(f3362,plain,(
% 3.92/0.84 $false|spl0_262),
% 3.92/0.84 inference(trivial_equality_resolution,[status(esa)],[f3313])).
% 3.92/0.84 fof(f3363,plain,(
% 3.92/0.84 spl0_262),
% 3.92/0.84 inference(contradiction_clause,[status(thm)],[f3362])).
% 3.92/0.84 fof(f3364,plain,(
% 3.92/0.84 $false|spl0_256),
% 3.92/0.84 inference(trivial_equality_resolution,[status(esa)],[f3283])).
% 3.92/0.84 fof(f3365,plain,(
% 3.92/0.84 spl0_256),
% 3.92/0.84 inference(contradiction_clause,[status(thm)],[f3364])).
% 3.92/0.84 fof(f3366,plain,(
% 3.92/0.84 $false|spl0_254),
% 3.92/0.84 inference(trivial_equality_resolution,[status(esa)],[f3273])).
% 3.92/0.84 fof(f3367,plain,(
% 3.92/0.84 spl0_254),
% 3.92/0.84 inference(contradiction_clause,[status(thm)],[f3366])).
% 3.92/0.84 fof(f3368,plain,(
% 3.92/0.84 $false|spl0_252),
% 3.92/0.84 inference(trivial_equality_resolution,[status(esa)],[f3263])).
% 3.92/0.84 fof(f3369,plain,(
% 3.92/0.84 spl0_252),
% 3.92/0.84 inference(contradiction_clause,[status(thm)],[f3368])).
% 3.92/0.84 fof(f3371,plain,(
% 3.92/0.84 ~le(s(n0),sk0_1)|~le(sk0_1,n)|spl0_13),
% 3.92/0.84 inference(resolution,[status(thm)],[f102,f32])).
% 3.92/0.84 fof(f3372,plain,(
% 3.92/0.84 ~spl0_34|~spl0_8|spl0_13),
% 3.92/0.84 inference(split_clause,[status(thm)],[f3371,f231,f77,f100])).
% 3.92/0.84 fof(f3374,plain,(
% 3.92/0.84 $false),
% 3.92/0.84 inference(sat_refutation,[status(thm)],[f53,f57,f61,f68,f72,f76,f80,f84,f95,f97,f99,f113,f125,f137,f654,f672,f897,f1125,f1367,f1375,f1388,f1460,f2983,f2985,f2987,f2989,f3173,f3175,f3177,f3179,f3363,f3365,f3367,f3369,f3372])).
% 3.92/0.84 % SZS output end CNFRefutation for theBenchmark.p
% 3.92/0.85 % Elapsed time: 0.530455 seconds
% 3.92/0.85 % CPU time: 4.081803 seconds
% 3.92/0.85 % Total memory used: 102.713 MB
% 3.92/0.85 % Net memory used: 100.944 MB
%------------------------------------------------------------------------------