%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ALG071+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:49:33 AM UTC 2026
% Result : Theorem 5.67s 1.16s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG071+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:57:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 5.67/1.16 % Refutation found
% 5.67/1.16 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.67/1.16 % SZS output start CNFRefutation for theBenchmark
% 5.67/1.16 fof(f1,axiom,(
% 5.67/1.16 (! [U] :( sorti1(U)=> (! [V] :( sorti1(V)=> sorti1(op1(U,V)) ) )) )),
% 5.67/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.67/1.16 fof(f2,axiom,(
% 5.67/1.16 (! [U] :( sorti2(U)=> (! [V] :( sorti2(V)=> sorti2(op2(U,V)) ) )) )),
% 5.67/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.67/1.16 fof(f3,axiom,(
% 5.67/1.16 (! [U] :( sorti1(U)=> (? [V] :( sorti1(V)& op1(V,op1(V,U)) != U& op1(U,op1(V,U)) = V ) )) )),
% 5.67/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.67/1.16 fof(f4,axiom,(
% 5.67/1.16 ~ (! [U] :( sorti2(U)=> (? [V] :( sorti2(V)& op2(V,op2(V,U)) != U& op2(U,op2(V,U)) = V ) )) )),
% 5.67/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.67/1.16 fof(f5,conjecture,(
% 5.67/1.16 ( ( (! [U] :( sorti1(U)=> sorti2(h(U)) ))& (! [V] :( sorti2(V)=> sorti1(j(V)) ) ))=> ~ ( (! [W] :( sorti1(W)=> (! [X] :( sorti1(X)=> h(op1(W,X)) = op2(h(W),h(X)) ) )))& (! [Y] :( sorti2(Y)=> (! [Z] :( sorti2(Z)=> j(op2(Y,Z)) = op1(j(Y),j(Z)) ) )))& (! [X1] :( sorti2(X1)=> h(j(X1)) = X1 ))& (! [X2] :( sorti1(X2)=> j(h(X2)) = X2 ) )) ) ),
% 5.67/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.67/1.16 fof(f6,negated_conjecture,(
% 5.67/1.16 ~(( ( (! [U] :( sorti1(U)=> sorti2(h(U)) ))& (! [V] :( sorti2(V)=> sorti1(j(V)) ) ))=> ~ ( (! [W] :( sorti1(W)=> (! [X] :( sorti1(X)=> h(op1(W,X)) = op2(h(W),h(X)) ) )))& (! [Y] :( sorti2(Y)=> (! [Z] :( sorti2(Z)=> j(op2(Y,Z)) = op1(j(Y),j(Z)) ) )))& (! [X1] :( sorti2(X1)=> h(j(X1)) = X1 ))& (! [X2] :( sorti1(X2)=> j(h(X2)) = X2 ) )) ) )),
% 5.67/1.16 inference(negated_conjecture,[status(cth)],[f5])).
% 5.67/1.16 fof(f7,plain,(
% 5.67/1.16 ![U]: (~sorti1(U)|(![V]: (~sorti1(V)|sorti1(op1(U,V)))))),
% 5.67/1.16 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 5.67/1.16 fof(f8,plain,(
% 5.67/1.16 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|sorti1(op1(X0,X1)))),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f7])).
% 5.67/1.16 fof(f9,plain,(
% 5.67/1.16 ![U]: (~sorti2(U)|(![V]: (~sorti2(V)|sorti2(op2(U,V)))))),
% 5.67/1.16 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 5.67/1.16 fof(f10,plain,(
% 5.67/1.16 ![X0,X1]: (~sorti2(X0)|~sorti2(X1)|sorti2(op2(X0,X1)))),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f9])).
% 5.67/1.16 fof(f11,plain,(
% 5.67/1.16 ![U]: (~sorti1(U)|(?[V]: ((sorti1(V)&~op1(V,op1(V,U))=U)&op1(U,op1(V,U))=V)))),
% 5.67/1.16 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 5.67/1.16 fof(f12,plain,(
% 5.67/1.16 ![U]: (~sorti1(U)|((sorti1(sK0_skl(U))&~op1(sK0_skl(U),op1(sK0_skl(U),U))=U)&op1(U,op1(sK0_skl(U),U))=sK0_skl(U)))),
% 5.67/1.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(V,sK0_skl(U))],[f11])).
% 5.67/1.16 fof(f13,plain,(
% 5.67/1.16 ![X0]: (~sorti1(X0)|sorti1(sK0_skl(X0)))),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f12])).
% 5.67/1.16 fof(f14,plain,(
% 5.67/1.16 ![X0]: (~sorti1(X0)|~op1(sK0_skl(X0),op1(sK0_skl(X0),X0))=X0)),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f12])).
% 5.67/1.16 fof(f15,plain,(
% 5.67/1.16 ![X0]: (~sorti1(X0)|op1(X0,op1(sK0_skl(X0),X0))=sK0_skl(X0))),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f12])).
% 5.67/1.16 fof(f16,plain,(
% 5.67/1.16 (?[U]: (sorti2(U)&(![V]: ((~sorti2(V)|op2(V,op2(V,U))=U)|~op2(U,op2(V,U))=V))))),
% 5.67/1.16 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 5.67/1.16 fof(f17,plain,(
% 5.67/1.16 (sorti2(sK1_skl)&(![V]: ((~sorti2(V)|op2(V,op2(V,sK1_skl))=sK1_skl)|~op2(sK1_skl,op2(V,sK1_skl))=V)))),
% 5.67/1.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(U,sK1_skl)],[f16])).
% 5.67/1.16 fof(f18,plain,(
% 5.67/1.16 sorti2(sK1_skl)),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f17])).
% 5.67/1.16 fof(f19,plain,(
% 5.67/1.16 ![X0]: (~sorti2(X0)|op2(X0,op2(X0,sK1_skl))=sK1_skl|~op2(sK1_skl,op2(X0,sK1_skl))=X0)),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f17])).
% 5.67/1.16 fof(f20,plain,(
% 5.67/1.16 (((![U]: (~sorti1(U)|sorti2(h(U))))&(![V]: (~sorti2(V)|sorti1(j(V)))))&((((![W]: (~sorti1(W)|(![X]: (~sorti1(X)|h(op1(W,X))=op2(h(W),h(X))))))&(![Y]: (~sorti2(Y)|(![Z]: (~sorti2(Z)|j(op2(Y,Z))=op1(j(Y),j(Z)))))))&(![X1]: (~sorti2(X1)|h(j(X1))=X1)))&(![X2]: (~sorti1(X2)|j(h(X2))=X2))))),
% 5.67/1.16 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 5.67/1.16 fof(f21,plain,(
% 5.67/1.16 ![X0]: (~sorti1(X0)|sorti2(h(X0)))),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f20])).
% 5.67/1.16 fof(f22,plain,(
% 5.67/1.16 ![X0]: (~sorti2(X0)|sorti1(j(X0)))),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f20])).
% 5.67/1.16 fof(f23,plain,(
% 5.67/1.16 ![X0,X1]: (~sorti1(X0)|~sorti1(X1)|h(op1(X0,X1))=op2(h(X0),h(X1)))),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f20])).
% 5.67/1.16 fof(f24,plain,(
% 5.67/1.16 ![X0,X1]: (~sorti2(X0)|~sorti2(X1)|j(op2(X0,X1))=op1(j(X0),j(X1)))),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f20])).
% 5.67/1.16 fof(f25,plain,(
% 5.67/1.16 ![X0]: (~sorti2(X0)|h(j(X0))=X0)),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f20])).
% 5.67/1.16 fof(f26,plain,(
% 5.67/1.16 ![X0]: (~sorti1(X0)|j(h(X0))=X0)),
% 5.67/1.16 inference(cnf_transformation,[status(thm)],[f20])).
% 5.67/1.16 fof(f28,plain,(
% 5.67/1.16 h(j(sK1_skl))=sK1_skl),
% 5.67/1.16 inference(resolution,[status(thm)],[f25,f18])).
% 5.67/1.16 fof(f30,plain,(
% 5.67/1.16 ![X0,X1]: (j(h(op1(X0,X1)))=op1(X0,X1)|~sorti1(X0)|~sorti1(X1))),
% 5.67/1.16 inference(resolution,[status(thm)],[f26,f8])).
% 5.67/1.16 fof(f32,plain,(
% 5.67/1.16 ![X0]: (j(h(sK0_skl(X0)))=sK0_skl(X0)|~sorti1(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f26,f13])).
% 5.67/1.16 fof(f33,plain,(
% 5.67/1.16 ![X0,X1]: (~sorti2(X0)|~sorti2(X1)|h(j(op2(X0,X1)))=op2(X0,X1))),
% 5.67/1.16 inference(resolution,[status(thm)],[f10,f25])).
% 5.67/1.16 fof(f41,plain,(
% 5.67/1.16 ![X0]: (~op1(sK0_skl(j(X0)),op1(sK0_skl(j(X0)),j(X0)))=j(X0)|~sorti2(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f14,f22])).
% 5.67/1.16 fof(f44,plain,(
% 5.67/1.16 ![X0]: (j(h(sK0_skl(j(X0))))=sK0_skl(j(X0))|~sorti2(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f32,f22])).
% 5.67/1.16 fof(f47,plain,(
% 5.67/1.16 ![X0]: (op1(j(X0),op1(sK0_skl(j(X0)),j(X0)))=sK0_skl(j(X0))|~sorti2(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f15,f22])).
% 5.67/1.16 fof(f59,plain,(
% 5.67/1.16 ![X0]: (op2(h(X0),op2(h(X0),sK1_skl))=sK1_skl|~op2(sK1_skl,op2(h(X0),sK1_skl))=h(X0)|~sorti1(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f19,f21])).
% 5.67/1.16 fof(f63,plain,(
% 5.67/1.16 j(h(sK0_skl(j(sK1_skl))))=sK0_skl(j(sK1_skl))),
% 5.67/1.16 inference(resolution,[status(thm)],[f44,f18])).
% 5.67/1.16 fof(f69,plain,(
% 5.67/1.16 ![X0,X1]: (j(h(op1(X0,j(X1))))=op1(X0,j(X1))|~sorti1(X0)|~sorti2(X1))),
% 5.67/1.16 inference(resolution,[status(thm)],[f30,f22])).
% 5.67/1.16 fof(f72,plain,(
% 5.67/1.16 ![X0,X1]: (~sorti2(X0)|h(j(op2(X0,h(X1))))=op2(X0,h(X1))|~sorti1(X1))),
% 5.67/1.16 inference(resolution,[status(thm)],[f33,f21])).
% 5.67/1.16 fof(f75,plain,(
% 5.67/1.16 ![X0,X1]: (~sorti1(X0)|h(op1(X0,j(X1)))=op2(h(X0),h(j(X1)))|~sorti2(X1))),
% 5.67/1.16 inference(resolution,[status(thm)],[f23,f22])).
% 5.67/1.16 fof(f84,plain,(
% 5.67/1.16 ![X0,X1]: (~sorti2(X0)|j(op2(X0,h(X1)))=op1(j(X0),j(h(X1)))|~sorti1(X1))),
% 5.67/1.16 inference(resolution,[status(thm)],[f24,f21])).
% 5.67/1.16 fof(f132,plain,(
% 5.67/1.16 ~op1(sK0_skl(j(sK1_skl)),op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))=j(sK1_skl)),
% 5.67/1.16 inference(resolution,[status(thm)],[f41,f18])).
% 5.67/1.16 fof(f201,plain,(
% 5.67/1.16 ![X0]: (j(h(op1(X0,j(sK1_skl))))=op1(X0,j(sK1_skl))|~sorti1(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f69,f18])).
% 5.67/1.16 fof(f205,plain,(
% 5.67/1.16 op1(j(sK1_skl),op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))=sK0_skl(j(sK1_skl))),
% 5.67/1.16 inference(resolution,[status(thm)],[f47,f18])).
% 5.67/1.16 fof(f209,plain,(
% 5.67/1.16 ![X0]: (j(h(op1(sK0_skl(X0),j(sK1_skl))))=op1(sK0_skl(X0),j(sK1_skl))|~sorti1(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f201,f13])).
% 5.67/1.16 fof(f217,plain,(
% 5.67/1.16 ![X0]: (h(j(op2(sK1_skl,h(X0))))=op2(sK1_skl,h(X0))|~sorti1(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f72,f18])).
% 5.67/1.16 fof(f220,plain,(
% 5.67/1.16 ![X0]: (h(j(op2(sK1_skl,h(j(X0)))))=op2(sK1_skl,h(j(X0)))|~sorti2(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f217,f22])).
% 5.67/1.16 fof(f238,plain,(
% 5.67/1.16 ![X0]: (~sorti1(X0)|h(op1(X0,j(sK1_skl)))=op2(h(X0),h(j(sK1_skl))))),
% 5.67/1.16 inference(resolution,[status(thm)],[f75,f18])).
% 5.67/1.16 fof(f240,plain,(
% 5.67/1.16 ![X0]: (~sorti1(X0)|h(op1(X0,j(sK1_skl)))=op2(h(X0),sK1_skl))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f28,f238])).
% 5.67/1.16 fof(f244,plain,(
% 5.67/1.16 ![X0]: (h(op1(sK0_skl(X0),j(sK1_skl)))=op2(h(sK0_skl(X0)),sK1_skl)|~sorti1(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f240,f13])).
% 5.67/1.16 fof(f255,plain,(
% 5.67/1.16 ![X0]: (h(op1(sK0_skl(j(X0)),j(sK1_skl)))=op2(h(sK0_skl(j(X0))),sK1_skl)|~sorti2(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f244,f22])).
% 5.67/1.16 fof(f268,plain,(
% 5.67/1.16 ![X0]: (j(op2(sK1_skl,h(X0)))=op1(j(sK1_skl),j(h(X0)))|~sorti1(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f84,f18])).
% 5.67/1.16 fof(f279,plain,(
% 5.67/1.16 ![X0]: (op2(h(j(X0)),op2(h(j(X0)),sK1_skl))=sK1_skl|~op2(sK1_skl,op2(h(j(X0)),sK1_skl))=h(j(X0))|~sorti2(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f59,f22])).
% 5.67/1.16 fof(f456,plain,(
% 5.67/1.16 ![X0]: (j(h(op1(sK0_skl(j(X0)),j(sK1_skl))))=op1(sK0_skl(j(X0)),j(sK1_skl))|~sorti2(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f209,f22])).
% 5.67/1.16 fof(f460,plain,(
% 5.67/1.16 ![X0]: (h(j(op2(sK1_skl,h(j(h(X0))))))=op2(sK1_skl,h(j(h(X0))))|~sorti1(X0))),
% 5.67/1.16 inference(resolution,[status(thm)],[f220,f21])).
% 5.67/1.16 fof(f1093,plain,(
% 5.67/1.16 h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))=op2(h(sK0_skl(j(sK1_skl))),sK1_skl)),
% 5.67/1.16 inference(resolution,[status(thm)],[f255,f18])).
% 5.67/1.16 fof(f1094,plain,(
% 5.67/1.16 ~sorti1(op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))|sorti2(op2(h(sK0_skl(j(sK1_skl))),sK1_skl))),
% 5.67/1.16 inference(paramodulation,[status(thm)],[f1093,f21])).
% 5.67/1.16 fof(f1233,plain,(
% 5.67/1.16 sorti2(op2(h(sK0_skl(j(sK1_skl))),sK1_skl))|~sorti1(sK0_skl(j(sK1_skl)))|~sorti1(j(sK1_skl))),
% 5.67/1.16 inference(resolution,[status(thm)],[f1094,f8])).
% 5.67/1.16 fof(f1234,plain,(
% 5.67/1.16 sorti2(op2(h(sK0_skl(j(sK1_skl))),sK1_skl))|~sorti1(j(sK1_skl))),
% 5.67/1.16 inference(forward_subsumption_resolution,[status(thm)],[f1233,f13])).
% 5.67/1.16 fof(f1235,plain,(
% 5.67/1.16 sorti2(op2(h(sK0_skl(j(sK1_skl))),sK1_skl))|~sorti2(sK1_skl)),
% 5.67/1.16 inference(resolution,[status(thm)],[f1234,f22])).
% 5.67/1.16 fof(f1236,plain,(
% 5.67/1.16 sorti2(op2(h(sK0_skl(j(sK1_skl))),sK1_skl))),
% 5.67/1.16 inference(forward_subsumption_resolution,[status(thm)],[f1235,f18])).
% 5.67/1.16 fof(f1711,plain,(
% 5.67/1.16 j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl))))=op1(sK0_skl(j(sK1_skl)),j(sK1_skl))),
% 5.67/1.16 inference(resolution,[status(thm)],[f456,f18])).
% 5.67/1.16 fof(f1712,plain,(
% 5.67/1.16 j(op2(h(sK0_skl(j(sK1_skl))),sK1_skl))=op1(sK0_skl(j(sK1_skl)),j(sK1_skl))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f1093,f1711])).
% 5.67/1.16 fof(f1714,plain,(
% 5.67/1.16 ~sorti2(op2(h(sK0_skl(j(sK1_skl))),sK1_skl))|sorti1(op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))),
% 5.67/1.16 inference(paramodulation,[status(thm)],[f1712,f22])).
% 5.67/1.16 fof(f1715,plain,(
% 5.67/1.16 sorti1(op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))),
% 5.67/1.16 inference(forward_subsumption_resolution,[status(thm)],[f1714,f1236])).
% 5.67/1.16 fof(f1800,plain,(
% 5.67/1.16 j(op2(sK1_skl,h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))))=op1(j(sK1_skl),j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))))),
% 5.67/1.16 inference(resolution,[status(thm)],[f1715,f268])).
% 5.67/1.16 fof(f1925,plain,(
% 5.67/1.16 j(op2(sK1_skl,op2(h(sK0_skl(j(sK1_skl))),sK1_skl)))=op1(j(sK1_skl),j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f1093,f1800])).
% 5.67/1.16 fof(f1926,plain,(
% 5.67/1.16 j(op2(sK1_skl,op2(h(sK0_skl(j(sK1_skl))),sK1_skl)))=op1(j(sK1_skl),j(op2(h(sK0_skl(j(sK1_skl))),sK1_skl)))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f1093,f1925])).
% 5.67/1.16 fof(f1927,plain,(
% 5.67/1.16 j(op2(sK1_skl,op2(h(sK0_skl(j(sK1_skl))),sK1_skl)))=op1(j(sK1_skl),op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f1712,f1926])).
% 5.67/1.16 fof(f1928,plain,(
% 5.67/1.16 j(op2(sK1_skl,op2(h(sK0_skl(j(sK1_skl))),sK1_skl)))=sK0_skl(j(sK1_skl))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f205,f1927])).
% 5.67/1.16 fof(f2652,plain,(
% 5.67/1.16 h(j(op2(sK1_skl,h(j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl))))))))=op2(sK1_skl,h(j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl))))))),
% 5.67/1.16 inference(resolution,[status(thm)],[f460,f1715])).
% 5.67/1.16 fof(f2666,plain,(
% 5.67/1.16 h(j(op2(sK1_skl,h(j(op2(h(sK0_skl(j(sK1_skl))),sK1_skl))))))=op2(sK1_skl,h(j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl))))))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f1093,f2652])).
% 5.67/1.16 fof(f2667,plain,(
% 5.67/1.16 h(j(op2(sK1_skl,h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl))))))=op2(sK1_skl,h(j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl))))))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f1712,f2666])).
% 5.67/1.16 fof(f2668,plain,(
% 5.67/1.16 h(j(op2(sK1_skl,op2(h(sK0_skl(j(sK1_skl))),sK1_skl))))=op2(sK1_skl,h(j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl))))))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f1093,f2667])).
% 5.67/1.16 fof(f2669,plain,(
% 5.67/1.16 h(sK0_skl(j(sK1_skl)))=op2(sK1_skl,h(j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl))))))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f1928,f2668])).
% 5.67/1.16 fof(f2670,plain,(
% 5.67/1.16 h(sK0_skl(j(sK1_skl)))=op2(sK1_skl,h(j(op2(h(sK0_skl(j(sK1_skl))),sK1_skl))))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f1093,f2669])).
% 5.67/1.16 fof(f2671,plain,(
% 5.67/1.16 h(sK0_skl(j(sK1_skl)))=op2(sK1_skl,h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl))))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f1712,f2670])).
% 5.67/1.16 fof(f2672,plain,(
% 5.67/1.16 h(sK0_skl(j(sK1_skl)))=op2(sK1_skl,op2(h(sK0_skl(j(sK1_skl))),sK1_skl))),
% 5.67/1.16 inference(forward_demodulation,[status(thm)],[f1093,f2671])).
% 5.67/1.17 fof(f2691,plain,(
% 5.67/1.17 ~sorti2(sK1_skl)|~sorti2(op2(h(sK0_skl(j(sK1_skl))),sK1_skl))|sorti2(h(sK0_skl(j(sK1_skl))))),
% 5.67/1.17 inference(paramodulation,[status(thm)],[f2672,f10])).
% 5.67/1.17 fof(f2703,plain,(
% 5.67/1.17 ~sorti2(op2(h(sK0_skl(j(sK1_skl))),sK1_skl))|sorti2(h(sK0_skl(j(sK1_skl))))),
% 5.67/1.17 inference(forward_subsumption_resolution,[status(thm)],[f2691,f18])).
% 5.67/1.17 fof(f2723,plain,(
% 5.67/1.17 sorti2(h(sK0_skl(j(sK1_skl))))),
% 5.67/1.17 inference(forward_subsumption_resolution,[status(thm)],[f2703,f1236])).
% 5.67/1.17 fof(f2728,plain,(
% 5.67/1.17 op2(h(j(h(sK0_skl(j(sK1_skl))))),op2(h(j(h(sK0_skl(j(sK1_skl))))),sK1_skl))=sK1_skl|~op2(sK1_skl,op2(h(j(h(sK0_skl(j(sK1_skl))))),sK1_skl))=h(j(h(sK0_skl(j(sK1_skl)))))),
% 5.67/1.17 inference(resolution,[status(thm)],[f2723,f279])).
% 5.67/1.17 fof(f2788,plain,(
% 5.67/1.17 ![X0]: (j(op2(h(sK0_skl(j(sK1_skl))),h(X0)))=op1(j(h(sK0_skl(j(sK1_skl)))),j(h(X0)))|~sorti1(X0))),
% 5.67/1.17 inference(resolution,[status(thm)],[f2723,f84])).
% 5.67/1.17 fof(f2823,plain,(
% 5.67/1.17 op2(h(sK0_skl(j(sK1_skl))),op2(h(j(h(sK0_skl(j(sK1_skl))))),sK1_skl))=sK1_skl|~op2(sK1_skl,op2(h(j(h(sK0_skl(j(sK1_skl))))),sK1_skl))=h(j(h(sK0_skl(j(sK1_skl)))))),
% 5.67/1.17 inference(forward_demodulation,[status(thm)],[f63,f2728])).
% 5.67/1.17 fof(f2824,plain,(
% 5.67/1.17 op2(h(sK0_skl(j(sK1_skl))),op2(h(sK0_skl(j(sK1_skl))),sK1_skl))=sK1_skl|~op2(sK1_skl,op2(h(j(h(sK0_skl(j(sK1_skl))))),sK1_skl))=h(j(h(sK0_skl(j(sK1_skl)))))),
% 5.67/1.17 inference(forward_demodulation,[status(thm)],[f63,f2823])).
% 5.67/1.17 fof(f2825,plain,(
% 5.67/1.17 op2(h(sK0_skl(j(sK1_skl))),op2(h(sK0_skl(j(sK1_skl))),sK1_skl))=sK1_skl|~op2(sK1_skl,op2(h(sK0_skl(j(sK1_skl))),sK1_skl))=h(j(h(sK0_skl(j(sK1_skl)))))),
% 5.67/1.17 inference(forward_demodulation,[status(thm)],[f63,f2824])).
% 5.67/1.17 fof(f2826,plain,(
% 5.67/1.17 op2(h(sK0_skl(j(sK1_skl))),op2(h(sK0_skl(j(sK1_skl))),sK1_skl))=sK1_skl|~h(sK0_skl(j(sK1_skl)))=h(j(h(sK0_skl(j(sK1_skl)))))),
% 5.67/1.17 inference(forward_demodulation,[status(thm)],[f2672,f2825])).
% 5.67/1.17 fof(f2827,plain,(
% 5.67/1.17 op2(h(sK0_skl(j(sK1_skl))),op2(h(sK0_skl(j(sK1_skl))),sK1_skl))=sK1_skl|~h(sK0_skl(j(sK1_skl)))=h(sK0_skl(j(sK1_skl)))),
% 5.67/1.17 inference(forward_demodulation,[status(thm)],[f63,f2826])).
% 5.67/1.17 fof(f2828,plain,(
% 5.67/1.17 op2(h(sK0_skl(j(sK1_skl))),op2(h(sK0_skl(j(sK1_skl))),sK1_skl))=sK1_skl),
% 5.67/1.17 inference(trivial_equality_resolution,[status(thm)],[f2827])).
% 5.67/1.17 fof(f2909,plain,(
% 5.67/1.17 ![X0]: (j(op2(h(sK0_skl(j(sK1_skl))),h(X0)))=op1(sK0_skl(j(sK1_skl)),j(h(X0)))|~sorti1(X0))),
% 5.67/1.17 inference(forward_demodulation,[status(thm)],[f63,f2788])).
% 5.67/1.17 fof(f5271,plain,(
% 5.67/1.17 j(op2(h(sK0_skl(j(sK1_skl))),h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))))=op1(sK0_skl(j(sK1_skl)),j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))))),
% 5.67/1.17 inference(resolution,[status(thm)],[f2909,f1715])).
% 5.67/1.17 fof(f5282,plain,(
% 5.67/1.17 j(op2(h(sK0_skl(j(sK1_skl))),op2(h(sK0_skl(j(sK1_skl))),sK1_skl)))=op1(sK0_skl(j(sK1_skl)),j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))))),
% 5.67/1.17 inference(forward_demodulation,[status(thm)],[f1093,f5271])).
% 5.67/1.17 fof(f5283,plain,(
% 5.67/1.17 j(sK1_skl)=op1(sK0_skl(j(sK1_skl)),j(h(op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))))),
% 5.67/1.17 inference(forward_demodulation,[status(thm)],[f2828,f5282])).
% 5.67/1.17 fof(f5284,plain,(
% 5.67/1.17 j(sK1_skl)=op1(sK0_skl(j(sK1_skl)),j(op2(h(sK0_skl(j(sK1_skl))),sK1_skl)))),
% 5.67/1.17 inference(forward_demodulation,[status(thm)],[f1093,f5283])).
% 5.67/1.17 fof(f5285,plain,(
% 5.67/1.17 j(sK1_skl)=op1(sK0_skl(j(sK1_skl)),op1(sK0_skl(j(sK1_skl)),j(sK1_skl)))),
% 5.67/1.17 inference(forward_demodulation,[status(thm)],[f1712,f5284])).
% 5.67/1.17 fof(f5286,plain,(
% 5.67/1.17 $false),
% 5.67/1.17 inference(forward_subsumption_resolution,[status(thm)],[f5285,f132])).
% 5.67/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 5.67/1.19 % Elapsed time: 0.806022 seconds
% 5.67/1.19 % CPU time: 6.200214 seconds
% 5.67/1.19 % Total memory used: 172.336 MB
% 5.67/1.19 % Net memory used: 161.246 MB
%------------------------------------------------------------------------------